diff --git "a/data/dm_maths/full_data_1/1758_11255.jsonl" "b/data/dm_maths/full_data_1/1758_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1758_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let b = 181 - -1. List the prime factors of b.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (2 - 74)\/((-9)\/54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 17607.\nAnswer: 123249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2319 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c + 3*l = -54, 2*c + 2*l = 54. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -965, -1505, -2081, -2711, -3413, -4205?\n\"Answer: -3*c**3 - 519*c - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 64*u - 2)*(2*u**3 - 4*u**3 - u**3) to z*u**3 + d*u**2 + p*u**4 + r*u + a and give p.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:31 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, x: 1, c: 1}. Give prob of sequence aa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-14)*7 + 1406\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4194 plus 0.24?\nAnswer: 0.6594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(6\/17))*q*q**(-4\/7))\/((q\/((q\/(q\/(((q*q\/q**(4\/9)*q*q)\/q)\/q)))\/q)*q)\/((q*q**(6\/11))\/q)) assuming q is positive.\nAnswer: q**(-1384\/11781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4*u - 22, 3*u = -3*n - 2*u - 9. Let y be n\/2 - (1 - 1). List the prime factors of (y*-2 - 9)\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**2))**16*((a\/(a*a**(3\/7)\/a))\/a*a)**(2\/43))**(-10\/9) assuming a is positive.\nAnswer: a**(-96400\/2709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + l. Suppose 2*d + 6 = -5*z, -4*d = -0*z - 2*z + 12. Let o be g(z). Solve -2*u + 7*u - 20 = o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1470 - -11071. Let l = -13491 + x. Round l to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -958026*b**2 + 13*b - 11. Let f be i(9). Round f to the nearest one million.\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)*-1*6)\/(((sqrt(24) + sqrt(384))\/sqrt(12) - sqrt(2) - sqrt(2)) + sqrt(2)))**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 148230*d**2 - 5501472588*d + 625242959496.\nAnswer: -(d - 74058)**2*(d - 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 9*b**2 - 5*b - 15. Let i be p(-9). Let m be i\/20*(-462)\/(-261). Let z = 2563\/116 + m. What is the common denominator of z and -151\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/21)\/(7\/(-21)))\/(792\/(-23100))?\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 12 = 3*i, -4 + 13 = -2*d + 3*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226551*i + 126 = -226533*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -191 * -2050359.\nAnswer: 391618569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 232\/5 - 926\/5*m - 8\/5*m**2 = 0.\nAnswer: -116, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + s - 10 = -0*g, 0 = 3*g + 4*s - 30. Let n(d) = d**3 - 6*d**2 - 42*d + 22. Let q be n(g). Find z, given that -1\/2*z**3 - 2*z**q + 0 - 2*z = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - r + 1. Let d(y) = -6*y**2 + 14*y + 9. Let j(t) = -d(t) + 6*s(t). What is the units digit of j(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Let g = 256 + 163. Suppose -g = -2*c + 3*m, c + 3*c + r*m = 847. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 888?\nAnswer: -88.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 2\/17, -4, -4\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 5:55 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kppkpapnapapa. Give prob of picking 2 k and 1 n.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 14*k - 13*k + 10, 4*o - 16 = 4*k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(9\/2))\/d)\/(d**(-3\/4)\/d))**38 assuming d is positive.\nAnswer: d**(-209\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37349*u**5 + 35*u**3 - 20969085*u wrt u?\nAnswer: 746980*u**3 + 210*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 1090441.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**5\/36 - 10*p**4\/9 - 25*p**3\/6 - 2043*p**2 + p. Factor f(n).\nAnswer: -5*(n + 1)*(n + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -929 - -8?\nAnswer: -921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155798?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15973.\nAnswer: 15973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36 - 38 + 17)*((0*n - 4*n + n)*(-4 + 1 + 2) + 1 - 1 + 2*n)*(1 + 1 + 0) to the form a*n + q and give a.\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -863756922 and -437.\nAnswer: -863757359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 907, 1004, 1163, 1384, 1667, 2012, 2419?\nAnswer: 2888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l + 0*l - 4*l + 3*l. Let m be (-4)\/14 - (-37)\/7. Let r(b) = 3 - 3 + m*b**2. Give u(r(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*b**3 - 120 + 144 - 3*b - 2*b**4 + 62 wrt b?\nAnswer: -24*b**2 - 222*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 487086360\/37 and 13164495 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 6745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -0.0332539.\nAnswer: -0.1332539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-5)\/20)\/(35\/(-42))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 26*j - 1206 = -492 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*m - m. Find the second derivative of 2*p - p + p**2 + m*p**2 + p wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 6446586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**3\/3 - 4*x**2 + 13*x - 28\/3 = 0.\nAnswer: 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -37*w**2 + 3191*w + 9590. Determine q(-3).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -129, -131, -133, -135, -137?\n\"Answer: -2*f - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from kbbccckckkkckkkbc.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 at most -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5062 - 1657. List the prime factors of l.\nAnswer: 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0784 + -0.0784037. Round d to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, -396, -1874, -4932, -10140, -18068, -29286, -44364?\nAnswer: -63872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/3120 and -121\/1240?\nAnswer: 96720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - x - 4. Suppose -2168 = 2*h - 3*m, 4*h + 2196 = 2*h - x*m. What is h rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2139 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 7:29 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11423671 times -15\nAnswer: -171355065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/657630 and -103\/22?\nAnswer: 7233930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -41862 divided by 13954?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 17)*(-6)\/4. Let u = x - 2. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(200) - (-1*sqrt(200) - sqrt(200))) + sqrt(200))*6 - sqrt(200))**2 - (2*(sqrt(1568) + 0 + sqrt(1568)))**2.\nAnswer: 80707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 397, 391, 385, 379?\n\"Answer: -6*p + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a factor of 307376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 19\/4555513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.152652 to 4 dps.\nAnswer: -0.1527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95*w**4 + 37*w**3 - 26*w**3 + 137*w**3 + 2 + 8*w + 94*w**4 + 89*w**3 wrt w?\nAnswer: -12*w**2 + 1422*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**9\/362880 - o**8\/60480 - o**5\/6 + 2*o**2. Let a(m) be the third derivative of x(m). Suppose a(u) = 0. Calculate u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t. Let n(i) = -22*i**2 - 12*i + 12. Let j(w) = 9*w**2 + 5*w - 5. Let r(q) = 12*j(q) + 5*n(q). Give u(r(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c. Let b(j) = -121*j**2. Determine b(k(x)).\nAnswer: -4356*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2703 and 17331.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8924821.\nAnswer: 8924821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*q**4 + 12*q - 85*q**4 + 22*q wrt q.\nAnswer: -276*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 2, 4.\nAnswer: 2, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 55. Suppose -4*h + 0*h = -q. Solve -h = 4*j + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**5\/4 - 15*p**4\/4 - 25*p**3\/3 - 77*p + 22. Let b(f) be the first derivative of g(f). Suppose b(z) = 0. Calculate z.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 1454 - 4984 = 0. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**2 + 0*z**2 + z**2 + 2*z)*(2*z - 4*z - z) to r*z + x*z**2 + m*z**3 + f and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1415546.\nAnswer: 4246638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 4*s - 6*s)*(-20349 + 7761 + 885).\nAnswer: 23406*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(7\/6))\/u**(-5\/7))\/(u**12\/(u*u*u\/(u\/(u**(8\/3)\/u)*u)*u)) assuming u is positive.\nAnswer: u**(-109\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*l**2*y**4 + 15*l**2*y**3 - l**2 + 15*l - 5*y + 1 wrt y?\nAnswer: 96*l**2*y**2 + 90*l**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (149 - 148)\/((-4)\/(-3) + -1). Solve -24 = n + n + 5*y, x*y + 2 = 5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 7\/12*b**4 - 7\/2*b**2 + 0 + 1\/20*b**5 + b**3 + 3*b. Let w be -4 + (4\/(-3))\/((-12)\/(-18)). Give o(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 1:29 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 927827082.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9851 divided by 1732\nAnswer: 9851\/1732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -4*j - j. Let c(h) = h - 3. Let s be c(j). What is s rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 3*n - 4*n)*(-1 + 0 + 2) + 500*n + 35*n + 88*n + (-3 - 4 + 6)*(-2*n + 3*n - 2*n).\nAnswer: 626*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -1\/6*u**3 + 0*u + 0 - 6*u**2 - 1\/6*u**4. Let t be s(3). Let n(h) = 2*h. Let b(d) = -d. Give t*b(r) - 6*n(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11120 (base 3) in base 7?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36\/205 or 944?\nAnswer: -36\/205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 - -70. Suppose 0 = 5*o - 3*m + 2 + 3, 3*m = 3*o - 3. Which is the closest to 2\/7? (a) o (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + -232?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**4*j*j**(-1\/9) assuming j is positive.\nAnswer: j**(44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 94951967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3835 and 531.\nAnswer: 34515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4597 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -264980 and -167.\nAnswer: -265147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -894, -2972, -6984, -13566, -23354?\nAnswer: -36984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-219*s**4 + 430*s**4 + 1669 - 213*s**4)*(2 + 2 - 5).\nAnswer: 2*s**4 - 1669","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40054 - 160215\/4. Which is greater: k or 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22431*b**4 + 4*b**2 + 130168*b?\nAnswer: 269172*b**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2. Let w(f) = 10549287*f. Give z(w(q)).\nAnswer: -333862368625107*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -838.9, -0.01, -2\/17?\nAnswer: -838.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-13 + (6 - (-9 + -7)) + -8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1659?\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -1 - (9 - (-9 + 19)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 10. Let h be o(5). Suppose -h*y + 12 = -28. Suppose 10*a = y*a - 18. Is -9 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 0*p**2 - 1\/14*p**4 + 110 + 0*p + 22\/21*p**3. Factor o(g).\nAnswer: -2*g**2*(g - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**5\/60 + 5*a**4\/24 - 3*a**3\/2 + 54*a**2 + 1. What is z(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 12*d + 2. Calculate the remainder when 76 is divided by u(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 293020 and 1150.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/303353 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24288 divided by 3?\nAnswer: -8096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 1470*j - 2928.\nAnswer: -3*(j + 2)*(j + 488)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3034*b**3 + 18*b**2 + 46*b + 1. Is x(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*n, -4*n - 2881 + 305 = -4*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/((-7)\/(105\/(-120)))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 12 = 2*u. Let y be 3 - u - (-192 + 4\/(-2)). What is the tens digit of (-3 + y\/(-1))\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1672, 1679, 1696, 1723?\nAnswer: 1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10167054, -20334106, -30501158, -40668210, -50835262, -61002314?\nAnswer: -71169366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1891*i - 7519. Give y(4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24172 is divided by 928.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.039 + -0.039. Which is smaller: y or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3742 or -3757?\nAnswer: -3757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(300)*3 + 0 + -3 + 4 + sqrt(300)) + -2)*2)**2.\nAnswer: 960*sqrt(3) + 172804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**3 - m**2\/2 + 3*m. Let r be g(2). Calculate the highest common factor of r and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - c + 1. Let o(h) = 156*h**2 + 104*h - 104. Calculate o(s) + 104*y(s).\nAnswer: 52*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4 - 333*l**3 + 10665*l**2 - 83175*l + 189000 = 0 for l.\nAnswer: 5, 45, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52627 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.2 (b) 3 (c) -1 (d) -0.279 (e) -0.77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/11)*s*s)\/(s\/(s*(s*s\/s**10*s)\/s)))\/(s**(2\/3)*s*s**10))**(3\/8) assuming s is positive.\nAnswer: s**(-577\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 487792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxh when three letters picked without replacement from vxhvvvvhxhhuvuvvhxx?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymrr when four letters picked without replacement from {y: 5, l: 1, m: 2, n: 1, o: 2, r: 2}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 58 + 54 - 10 - 15*k - 26. Let x be g(5). What is the biggest value in 3, -1, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 13*g + 6072. Let d = g + -69002\/125. Let b = -17 + 16. Which is smaller: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1573 + 21*l - 1573)*(0*l + 2*l - l).\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152087596?\nAnswer: 2, 283, 134353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 7*y**2 - 7*y + 8. Let g(z) = -2*z**2 - 6*z. Let x = -9 + 5. Let c be g(x). Calculate d(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**4 - 55*y**3 + 60*y**2 + 105*y - 105. Let g(o) = o**4 + 14*o**3 - 15*o**2 - 26*o + 26. Let c(i) = 25*g(i) + 6*j(i). Factor c(b).\nAnswer: -5*(b - 2)**2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99.038 - 0.238. Let m = -1.8 + a. Let v = 96.4 - m. What is the nearest to v in 3, -0.1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -13 + 54*14\/84. What is the smallest value in -2\/7, a, 0.1, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (26 + (-13 - -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1359176*b + 72 = -1359182*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/30 and -161\/480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0027 and 5?\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -364 + 365. Which is the nearest to -1? (a) -0.5 (b) 0.4 (c) m (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-5))\/(-11 - 324\/(-30)). Let a be 35\/(-5) - (-9 + d). Solve -a*y - 1 - 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.26 + -1.74. Suppose -60*q = -59*q. What is the closest to q in -4, 3\/4, l?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*2\/(-90)*(-75)\/100\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2162, -2159, -2156, -2153, -2150, -2147?\n\"Answer: 3*z - 2165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -0*o - 2080. Let u be o\/6 + 1\/(-3). What is the highest common factor of 86 and u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 + -88. Suppose 2*n + 14 - 56 = 4*s, -r*s + 21 = n. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 4*q + 4. Let k be 2 - 1 - 1*-4. Let g be p(k). Let z = g + -101\/3. Which is the third smallest value? (a) z (b) 5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*m - 8686 = -94*m - 2*f, f - 8683 = -4*m. List the prime factors of m.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8628337 - 415.\nAnswer: -8628752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.0021\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99540.\nAnswer: 2, 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002405 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 25 = 2*l, -10*l = -5*l + 3*q - 15. Suppose 7*z - 8 + 8 = l. Factor -m**2 + z - 3\/5*m**3 - 2\/5*m.\nAnswer: -m*(m + 1)*(3*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12904 and 336.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**3 - 4*y**2 - 5*y. Suppose -198 = -17*a - 5*a. Suppose 22*z - a = 25*z. Let f(x) = -2*x**3 + 2*x**2 + 3*x. Calculate z*v(k) - 5*f(k).\nAnswer: -2*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 17*a = 6. Let v(h) = -14*h - 55. Calculate v(a).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 10946*w**3 + 5394*w**3 + 1 - 1 + 5438*w**3.\nAnswer: -114*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-185)\/(-10)*-2. Suppose 0 = t*v - 49*v + 11952. Is 27 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342141 is divided by 1032?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -3 + (635 - 623).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11031 (base 4) to base 14.\nAnswer: 19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/21)\/(21\/81). Let i = -2979\/196 + v. What is the common denominator of i and -28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((5 - 5)\/(-5))\/6. Do -7\/219 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - ((-3)\/(-1) - 2). Suppose 0 = -a*r + 3*r + 32. Solve -2*u - 5*l + 0 = 8, -2*u - r = -l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 (base 10) to base 4\nAnswer: -1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 2104*o - 2031*o + 4176*o.\nAnswer: 41*o + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503.7167 millimeters to centimeters.\nAnswer: 50.37167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1172 + 1197. Let y = 5 - 3. Differentiate t**y + 47 - t**2 - 35 + m*t**4 wrt t.\nAnswer: 100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 5\/144 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 320 - 165. Suppose -3488 = -11*u - j. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 8 = -5*a + 4*l, -19396*l = 7*a - 19394*l - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 847477*v - 847482*v + 4*f, 4*f = 3*v - 26 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-615)\/225 - 1\/(-3))*-10. Let y be (-3)\/(l\/(-20) + 9\/15). Solve 5 = y*x - 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*0.23.\nAnswer: 0.0184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1679 = 1686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/(r*r**2))\/r*r)\/r)**(-2\/127)*(r**(-2))**(-3\/17) assuming r is positive.\nAnswer: r**(830\/2159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 781 and 26763.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 326 = -1814. List the prime factors of s.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2833*p*t**2 - 3569*p + 28172020*t**2 wrt p.\nAnswer: -2833*t**2 - 3569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -232 + 150. Let y be -1*201 - (0 - -2). Let p = c - y. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - (sqrt(80)*2 - sqrt(80))\/sqrt(8))\/(sqrt(2) - -2*sqrt(242)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 1. Let l be r(-2). Suppose 0 = -j - l*j + 116. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20803 - 20801. Solve 202*y = 201*y, q + 2*y - l = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46\/10 + 4\/(-2). Let w(f) = f**3 + 9*f**2 + 15*f + 15. Let k be w(-7). Suppose -4*o = -4 - k. Which is greater: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**6\/360 - d**5\/20 + 7*d**4\/24 - 2*d**3\/3 + 3. Let n(i) be the third derivative of b(i). What is the units digit of n(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 703685298 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/10 and -131\/54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a week in seconds?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y + 27*y + 290 = 0. Let q = y + -56. Solve -4*d - 8 = 4*l, q*d + l = 3*l - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248831165 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -209, -420, -643, -884, -1149, -1444?\n\"Answer: -v**3 - 204*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 28*l**2 - 32*l - 83. Let q be m(-27). Calculate the highest common factor of q and 48256.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(18)*1 + sqrt(18))**2.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 - 9*c + 10. Let m be 1056\/177 - 44\/(-1298). Determine a(m).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/(-105))\/((-42)\/(-219)). Let s be (-67)\/(-210) + 2\/(-6). Let n = p - s. Which is the third biggest value? (a) 1 (b) -3\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -91 + 91 + 8*f**2. Let c(t) = t**2 - t + 2. Let j(r) = 2*r**2 + 8*r - 16. Let n(w) = -8*c(w) - j(w). Give n(b(q)).\nAnswer: -640*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 + 3*a**2 + 6*a - 122. Determine b(-9).\nAnswer: 1525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42919753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1616*u**2 + 3778*u**3 - 8638*u**2 - 28 + 55 - 27 wrt u?\nAnswer: 22668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7017, -13163, -19309, -25455, -31601?\nAnswer: -37747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 499277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = -10*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107275?\nAnswer: 5, 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.23, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 296914024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1016 and -35\/4?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 + -1a8649?\nAnswer: -1a8627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-46627)\/(-7)*(-2 - 1)\/9. Let f = h + 2221. Determine t, given that 2\/3*t**2 - 4\/3*t + 0 + f*t**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 12 + 2*f**3 - 10 + 87*f - 89*f. Give c(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**5\/120 + m**4\/12 - 9*m**3 - 3*m - 10. Let l(s) be the second derivative of d(s). Calculate l(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -10. Let a = 43.4 + -47. Let p = m - a. What is p rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*d + 959 = 61*d - 161 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12465 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**5\/5 + 5*l**4\/4 - 3*l**3 + 7*l**2\/2 - 2*l + 8. Find d such that y(d) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/15 > -3941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -49. Solve b*m + 8 = -0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1289654 and 7055.\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*d + 88*d + 84*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (251\/2008)\/((-1)\/(16\/(-2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 93 = 42. Suppose -37 = -5*h + h - v, -4*h = -v - b. Calculate the remainder when 23 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6543, 6542, 6539, 6534, 6527?\n\"Answer: -n**2 + 2*n + 6542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -256*o**3 - 284*o**2 + 484*o + 56 = 0.\nAnswer: -2, -7\/64, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 9*a**2 - a + 4. Suppose 0 = 3*v + 2*d + 6 + 102, 4*v - 3*d + 144 = 0. Let w = v - -45. Give t(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 16*p - 1\/2*p**2 - 2. What are the prime factors of u(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -10\/69, 9\/2?\nAnswer: -10\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -8, 1746 in ascending order.\nAnswer: -8, -0.6, 1746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/((-16)\/((-3520)\/(-33)))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696175328.\nAnswer: 2, 21755479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*z**6 + 197*z**4 + 20917*z**2 wrt z.\nAnswer: 600*z**3 + 4728*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12830 divided by 5.\nAnswer: 2566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3.3 + -552288445.4054\nAnswer: -552288442.1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**3\/2 - 6*l. Let g(p) = p. Calculate a(g(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 201112321231 (base 4) to base 13\nAnswer: 1a722c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56255391 to the nearest integer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7479595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3780 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dttteetetptttte. Give prob of picking 1 d and 3 e.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -312.8706474 to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -3 - -15) + -31 - -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s**2 - 35*s - 14. Let x(b) = 1 + b**2 - 1 + 7*b + 3. Let f(d) = 2*t(d) + 11*x(d). Suppose 18 = 3*q + 3*y, 5*q - 3*y = -137 + 175. Give f(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3252399 at least as big as -3252236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-5))\/((f\/f**(1\/17))\/f)*f*(f\/f**(-11))\/f*f*f**(-6) assuming f is positive.\nAnswer: f**(222\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62729941, 125459880, 188189819?\nAnswer: 250919758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/(-98))\/((-2388)\/398))\/(6\/7).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7565113997 to the power of 1\/2, to the nearest integer?\nAnswer: 86978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2017\/6 - 336. Put 1\/4, m, 0.2, -0.6 in ascending order.\nAnswer: -0.6, m, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9588.1419918 + 9588.24. Let g = o + -0.098. What is g rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8579?\nAnswer: 23, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 335601 and 12176.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + i - 1. Let b(w) = 3*w**2 + 13*w - 13. Let l(o) = -b(o) + 4*t(o). Let v be l(8). Differentiate v + 10*s + 4 - 1 wrt s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -47 - -3) + 4. Find the third derivative of -20*n**2 + 63*n**6 + 0*n**3 - d*n**6 + 0*n**3 wrt n.\nAnswer: 1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -168.002619 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 412939193 to the power of 1\/2, to the nearest integer?\nAnswer: 20321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11014610 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -366 + 366. Let g(q) be the second derivative of 1\/48*q**4 + 0 - 1\/12*q**3 + y*q**2 - 9*q. Let g(z) = 0. Calculate z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 160343437?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -82 in 1, 1\/18, -7\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-31)\/(-55)*(-90)\/12 and -13\/30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 + 65 = -s. Let p be (1 - 4\/2)\/(s\/3059). Solve 14*q = p*q + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u - u)*(7 - 13 - 11) + 2*u - 2 + 2.\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(0 - 9\/5). Let v = t + -10. Let c = -63 - -58. What is the closest to 0.1 in 0.1, v, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(13) - (sqrt(1300)*2 + sqrt(1300) + sqrt(1300))**2) + sqrt(13) + sqrt(208)*-3).\nAnswer: 30*sqrt(13) + 62400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3022 (base 15) to base 7.\nAnswer: -41420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**5\/7 - 186*o**4 + 148863*o**3\/7 - 1648428*o**2\/7 + 4848780*o\/7 - 4274016\/7 = 0.\nAnswer: 2, 8, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16062466 - -1?\nAnswer: 16062500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 944.\nAnswer: 4720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g*t**5 + 3*g*t**2 + 2*g*t + g + 68*t**5 - 2*t - 260 wrt t?\nAnswer: -60*g*t**3 + 6*g + 1360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 730440628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9968.58 decades in centuries?\nAnswer: 996.858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(4 + -3)*-4. Let a = 6 + z. Let g(x) = 4*x**2 - 3*x**2 - 2 - a. Determine g(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1186 divided by 2?\nAnswer: -593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**4 - t**4 - 5*t**4)*(-116 - 358 - 164).\nAnswer: 1914*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) + 2*-2*sqrt(66) + -3*2*sqrt(66))\/((sqrt(96)*2 + sqrt(96) + sqrt(96))*-4))**2 + 4)*-6.\nAnswer: -51825\/2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 209776?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*s + 3. Let j(n) = n + 1. Suppose 4 = r - 3*r. Let x be j(r). Sort x, s, 0 in decreasing order.\nAnswer: s, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1751728 and 18292?\nAnswer: 29779376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+753663\nAnswer: 753663.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -20461b (base 13) to base 11\nAnswer: -474331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f + 7*f**2 - 5*f**2 + 91*f + 70*f - 139*f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -25*x**2 + 6*x. Let b(v) = -v**2. What is b(p(s))?\nAnswer: -625*s**4 + 300*s**3 - 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 18 + 13. Let k = g - 20. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 10:20 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - (-7079)\/(-4))*(13 - (-282)\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*i + 3*i. Let g be 1\/(2\/(6 + -2)). Let w(h) = i*h + 0*h - g*h**2 + h - 2. Determine w(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjjggggjjgggjjjggjj. Give prob of picking 1 g and 1 j.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14.463 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 - -8. Suppose 3*m - 4*j - q = m, 5*m = -5*j + 255. Suppose 0 = 5*r - 4*y - m, 3*r + 2*r + 3*y = 26. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 6*a - 5. Let w be g(8). Suppose -w*r = 25*r - 180. Solve c + 15 = -d + r*c, 3*c = 5*d - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.3 (b) 7.32 (c) 1\/2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1474666*z**2 + 15170?\nAnswer: 2949332*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -1 - (84 - 45 - 23).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:57 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - o = -276492, 289*p = 293*p + 2*o - 221190. What are the prime factors of p?\nAnswer: 3, 18433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**3 - 25*c**2 - 20*c - 20. Let g be n(-17). Let q = g + 2443. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + (-28 - -21) + 40.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59189*a**2 + 233*a - 593 wrt a?\nAnswer: -118378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t - 3*a + 9, 5*t + 2*a = 15. Let k(w) = -t + 38*w + 23*w + 28*w. Is k(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -8. Suppose 2*t - 10 = -y. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2510229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + z = -2, 16 = -2*o - 0*z + 2*z. Suppose 2*h = -2*p + 5*h + 22, 3*p - 30 = 3*h. Let y be (p\/6)\/(2\/(-6)). Put y, o, 0 in decreasing order.\nAnswer: 0, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/9)\/(6\/45). Which is the closest to 0.1? (a) 1 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 1. Let p(a) = -1. Let f(b) = -b + 5. Let o be f(6). Determine o*p(t) - y(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 0, 14912 in increasing order.\nAnswer: -2, 0, 4, 14912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4)*t**4*(t\/(t**(2\/7)\/t*t)*t)**(2\/5)*(t*t**(-7))\/(t**(3\/2)\/t)*(t**(-2\/3))**(-20\/3) assuming t is positive.\nAnswer: t**(-863\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - (-6048)\/(-120))\/((-1)\/5) is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 589 = 3*m, -6*v + 2*v = -2*m - 392. Let y be (-38)\/(-6) - (-4)\/6. Calculate the remainder when 12\/(-42) - m\/y is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -0.9, 55, -5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 4*n - 36 + 27 = 0, 3*g + 7 = 2*n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 101400.708 to the nearest one hundred.\nAnswer: 101400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.042 in 1\/28, 0.2, 2\/6491?\nAnswer: 2\/6491","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 531 = 4*x - 555, 0 = -3*x + 2*o + 13 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*j + 5*x, -4 = -3*j - 4*x - 0. Suppose -5*g - 6*s + 4*s = -9, 2*g - 2*s + 2 = j. Solve -3*t - g - 11 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + -441?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 15*q**2 + 21*q - 8. Is t(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 17*w**2 + 2*w. Let m(f) = -4*f**3 + 51*f**2 - 7*f. Let s = 5544 - 5546. What is s*m(b) - 7*k(b)?\nAnswer: b**3 + 17*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 + 3*x**2 - 17*x**2.\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 480, 964, 1448, 1932?\nAnswer: 2416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 4 + 4)*(5 - 3 - 3)*(-4 - 1 + 1)*(2 - 3 - 1)*(11676 - 4055*a - 11676) as s + r*a + k*a**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20105 (base 10) to base 7.\nAnswer: 112421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(325)*-3 + (sqrt(325)*-1*-2 - sqrt(325)) + 4)*1)**2.\nAnswer: -320*sqrt(13) + 20816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1703 and 262?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*c = -18*c - 504. Solve c*j + 54 = 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16776 - 16542. Calculate the remainder when 1117 is divided by t.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.929 plus 321762?\nAnswer: 321764.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6 + 7*g**2 - 2*g**3 + 4*g**3 - 2*g - g**3. Let d = 101 + -108. Let y be q(d). Solve -3*n + y = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427*u - 180 = -432*u. Let y(w) = -54*w. Let o(j) = 55*j + 1. Let h(f) = 3*o(f) + 4*y(f). Let s be h(-7). What is the highest common factor of s and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 22. Let n(q) be the third derivative of q**4\/24 - 5*q**3\/2 + 260*q**2 + 2*q. What is 5*j(i) + 7*n(i)?\nAnswer: 2*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 + 5 = -14*z. Suppose -15*w = z*w - 311448. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 19*f - 13*f. What is the remainder when 51 is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 533, 550, 571, 596?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n + 110. Let i be c(10). Suppose 7*d + i = 12*d. Solve -9 + d = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 7:44 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 + -4. Let r = -2.6 - t. Which is the third biggest value? (a) r (b) -0.1 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -9. Let d = j - 11. Let y(u) = -2*u - 3. Let p(v) = v + 1. Let z(g) = -3*p(g) - 3*y(g). What is z(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -153. Let d be (-17 - -15)*(-138)\/(-4). Let j = r + d. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2020339 is divided by 366?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11102 divided by -2\nAnswer: 5551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -62173*j - 186565. Determine a(-3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/91)\/((18\/14)\/3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -54092 + 637375.4\nAnswer: 583283.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203019?\nAnswer: 3, 31, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 675298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + m**2 - 10*m + 7. What is the hundreds digit of x(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = l + 14, 4*l + 6*b = 3*b - 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.15 and -1139.3?\nAnswer: 1139.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 5*f + 1415, f - 859 = -3*m + 3*f. Let x = m - 248. What is the remainder when 221 is divided by x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeqnpqpfneqne. What is prob of sequence fpe?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 - -40. Let n = s - -59. Let q = -24.9851 + n. Round q to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138404 and 27713.\nAnswer: 547941436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Let j be ((-8294)\/154 + 53)\/((-6)\/14). Which is the closest to j? (a) 2\/11 (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2250 divided by -225?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -15*o + 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11421, 1, 2.4, 2\/7, -2\/17?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -313 in 4, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**15*l**(-2\/5))\/(((l\/(l**(-1\/5)\/l)*l)\/l*l)\/l*l**(1\/6)))**(-22) assuming l is positive.\nAnswer: l**(-4037\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.92 + -0.08. Let q be (-1)\/(-3)*15\/(-10). Which is the nearest to -3? (a) 3 (b) l (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29281333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7056\/96 - 69 - 329\/(-14)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-2120)\/1590*90\/(-32).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124125773483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.07752 to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6848084 a multiple of 1238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 5 = -6*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1238 and 4191868?\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - (-53 + 29 + -17).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18 (b) 0.2 (c) 0.07813\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 68 - 56. Let w = -15 + d. Suppose -25*p + w = -21*p. Calculate the least common multiple of 7 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - 6662671?\nAnswer: -6662685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109601410*k**2 + 382777449*k wrt k.\nAnswer: -219202820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6441 and 0.01?\nAnswer: 64.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -67*q. Let p(z) = 188*z. Let t(a) = -17*k(a) - 6*p(a). Let i(x) = -36*x**2 + 1. Calculate i(t(f)).\nAnswer: -4356*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 8*y - 312. Let i(x) = -13*x + y*x - 10*x + 0 + 7*x**2 + 5. Let k(b) = 11*b**2 + 5*b + 8. Calculate 8*i(w) - 5*k(w).\nAnswer: w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 5*n - 5*n)*(-2 - 2 + 5)*(-5*n + 287 - n**2 - 21648*n**3 + 21650*n**3 + 0*n**2).\nAnswer: 2*n**4 - n**3 - 5*n**2 + 287*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8028977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*v - 9*n + 160, -4*v - 4*n = -312. What is the remainder when v is divided by 6\/(-9)*30\/(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -5*z + 76. Let v be (-13)\/(-5) - 2\/(-5). What is the tens digit of -3*(-4)\/v*z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 151 - 160 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 a factor of 211887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 961962.8 weeks?\nAnswer: 9696585024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 15312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*h - 28, -r - 5*h + 19 = 0. Solve 0 = 4*i - r*d - 12, -5*i + 0*d + 4*d = -14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -36. Find the third derivative of -198 + 41*r**3 + 225 - y*r + 2*r + 2*r**2 wrt r.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 1144.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49194.4 and 4?\nAnswer: 196777.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 58974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - 15. Suppose -18*v = -14*v - 28. What is the tens digit of (-645)\/d - (-2)\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z + z - 2821*z**2 + 7625*z**2 - 2967*z**2 - 2613*z**2 in the form b*z + m + t*z**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29009 + 50847. List the prime factors of x.\nAnswer: 2, 61, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 0*w + 1\/72*w**4 + 0*w**3 + 1\/45*w**5 + 0 + 4*w**2. Find l, given that n(l) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 80*a**2 + 8*a + 6. Let c(n) = 4*n**3 + 319*n**2 - 33*n - 25. Calculate 6*c(y) + 25*w(y).\nAnswer: -y**3 - 86*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 94.7 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(3\/4)*k*k**(1\/3))\/(k\/((k\/((k*(k*k*k**(1\/5)\/k)\/k)\/k))\/k)*k**(2\/3)))**(1\/21))**(-2\/5) assuming k is positive.\nAnswer: k**(-13\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggut when four letters picked without replacement from gtwpgpgpwup.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1272 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -730290 divided by 2.\nAnswer: -365145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from sqbqsbon?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a day in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 42. Suppose 5*n - 2*n = 5*w + 32, 8 = 5*n + 3*w. Suppose 52 = 4*f + 4*j, -f = -n*f - 5*j + 47. Calculate the remainder when y is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 165*o**2 + 19968*o + 355. Give a(-121).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.774283?\nAnswer: 3.871415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/(x**1\/x))*x*x)\/(x*(x\/(x*x*((x**(1\/11)\/x)\/x)\/x*x))\/x) assuming x is positive.\nAnswer: x**(23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2757 is divided by 337.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11804, 11809, 11824, 11855, 11908, 11989?\nAnswer: 12104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 5:59 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 4*n + 8. Let y(u) = 5*u + 61. Let r be -3 - (-3 - -1) - 11. Let h be y(r). Let g(x) = x - 1. Give h*o(p) + 5*g(p).\nAnswer: p**2 + p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -521892 or -521891?\nAnswer: -521892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -8\/13, -1?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**2 - 24 - 14*h**2 + 17*h**2 + 159*h**3 wrt h.\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + z = 5, 0 = -3*y - y + 4*z + 4. Suppose 0 = 3*g - 2*s - 1701 + 68, -5*s - 1639 = -y*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/((sqrt(33) + sqrt(99)\/sqrt(3))\/sqrt(3))*-4.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26594 + 26578. Let p be 14\/56 + 22\/(-56). Which is the nearest to 0.1? (a) p (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.4 - 0.6. What is the third smallest value in -0.5, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 5, -644895 in decreasing order.\nAnswer: 5, 4, -2, -644895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/31197 and -2\/10737?\nAnswer: 111654063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 - 62474*f\/7 - 51835104\/7.\nAnswer: -2*(f + 853)*(f + 30384)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1863 + 1871. Let n(o) = -o**3 - o**2 + 85. Calculate the remainder when n(0) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 4*a**2 + 77*a + 368. Calculate h(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 593 - i - 593. Let p(m) be the second derivative of -m**3\/3 - m. What is a(p(f))?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-7))\/((-9)\/7)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*(1 + -6 + -84).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 2484*g + 2488.\nAnswer: -4*(g - 622)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 < 163322479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 389 divide 791218891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168795 and 164145?\nAnswer: 59584635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -5 + 35*g**2 - 30*g + 53*g - 22*g. Differentiate i(j) with respect to j.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/12)\/((-1)\/28). Let n be (u\/4)\/((-2)\/12). Suppose 0 = 4*y - 5 + n. Sort -5, y, 3 in descending order.\nAnswer: 3, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + x + 0)*(4*x + 2*x - 4*x + (-2 - 1 + 1)*(-6*x - x + 0*x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 5, -1\/2, 5\/6, -3.49?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {f: 5, g: 8}?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, -1\/2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -82*p + 413. Let g be r(-30). Calculate the highest common divisor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/2816 and -111\/169064.\nAnswer: 59510528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/9*(-147)\/98\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75509 + 130576. Is m a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 1218 = 23*l - 5*j + 344, -13*j - 276 = 4*l - 17*j for l.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2910?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/174 and -70\/87.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112 - 105. Which is bigger: 95 or u?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 817875 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (69 + -69)\/((-1)\/(-1)). Let v(r) = r - 5*r - 4 - r**2 + 5*r. What is v(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 17, c: 3}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((2*sqrt(168) + sqrt(168))\/sqrt(4))\/((sqrt(66)*-2)\/sqrt(11)))**2*2.\nAnswer: 69\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h - 10. Suppose -5*q = 4*s + 19 - 0, 29 = -4*s + 5*q. Let c(u) = 3*u - 5. Let v(l) = s*a(l) + 13*c(l). Determine v(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 448 divided by 112\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, z: 12}. Give prob of picking 4 z.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 138\/(-414) + 1486\/3. Calculate the greatest common factor of 90 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-37)\/26*-2 + 112\/728. Let k(d) = 5*d**2 - 13*d - 4. Let n(h) = -6*h**2 + 14*h + 5. What is b*n(r) + 4*k(r)?\nAnswer: 2*r**2 - 10*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2 - 1. Let j(h) = -h**2 + 17*h - 49. Let x be j(9). What is the highest common divisor of d and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(1\/4)*i)*i)**0*i**(1\/12)\/i**(5\/3) assuming i is positive.\nAnswer: i**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3619 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 11*f**2 - 6*f. Let y be c(10). Suppose a + y = -3*a. Let n = a + 16. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 1. Let i(b) = -3*b + 1. Let h(t) = 39*t - 57. Let s be h(2). Let d be 35\/s*6\/10. Determine d*l(k) + i(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**3 - 4*h**2 + 7*h + 1. Give s(-3).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 23, 126, -4, 8 in descending order.\nAnswer: 126, 23, 8, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6250.065 centimeters to meters.\nAnswer: 62.50065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*u**5 - 101280*u**4 + 72105*u**3 + 636400*u**2 + 173580*u = 0.\nAnswer: -2, -2\/7, 0, 3, 2893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**4 + 0 - t**4 - 3*t**2 + 1 to j*t**3 + y*t**4 + x + a*t + h*t**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181967081\/283206 - 23\/13486. Let j = t + -643. Let d = j - 1\/42. Sort 5\/3, d, 5, -2\/11 in ascending order.\nAnswer: d, -2\/11, 5\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (220\/55)\/(3*(-4)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 0) + 3 + -12. Let c(n) = -n**3 - 10*n**2 + 9*n - 11. Calculate the lowest common multiple of 4 and c(g).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846 divided by -103024?\nAnswer: -923\/51512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1248*x + 42428. Give f(34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*x**5 + 16106*x**4 - 28131*x - 4 wrt x.\nAnswer: -320*x**3 + 193272*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 36 = 9*u. Let g be (171\/38)\/(u\/(6\/63)). Which is the third biggest value? (a) -3 (b) -0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -260349875.334 from 0.14.\nAnswer: 260349875.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 359\/198 - 35\/22. What is the closest to 0.27 in -2\/9, 1\/6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*f - 16 = -c, 0 = -5*f. Solve -4*p = -x - c*x - 27, 0 = p + x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 202\/53 - 457\/106. Suppose 5*u = u + 5*s - 21, 2*u + 2*s = 12. What is the closest to u in h, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -82. Suppose 3*m + j = 2*a, -m - 27 = 3*a - 136. Find the common denominator of 83\/84 and (-2)\/a*((-4)\/2 - -151).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 427.58 to the nearest ten.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.2207 + -150.4783. Let c = u - 0.301. Let p = c + 163.9862. What is p rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (454\/12 - 3) + (-460)\/(-24) + -18.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16941*g**3 - 33893*g**3 + 57 + 16951*g**3 - 57.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 333, 335, 339, 345, 353, 363, 375?\n\"Answer: g**2 - g + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5055 * 243.96\nAnswer: -1233217.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 49*q. Let b(v) = v**3 + 55*v**2 + 51*v - 156. Let p be b(-54). What is the remainder when d(1) is divided by (459\/(-68))\/(p\/(-16))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4391811 to the nearest integer?\nAnswer: 2096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1443 - -4658. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*c - 7*w + 9204, -2 = 2*w. Let n(k) = -k + 2. Let a be n(6). Is (c\/a - 0)\/((-6)\/(-12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -120206.907 to the nearest 100.\nAnswer: -120200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d. Suppose 0*x + 3*x - 45 = d. What is the remainder when x is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1596 at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 + 55. What is the lowest common multiple of 3*5*2\/3 and 3 + j + 3 - (-2 + 1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/20)*k)**(-24) assuming k is positive.\nAnswer: k**(-246\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1\/4, -22?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + -3*(0 + sqrt(4032)) + (sqrt(196)*-2*-3)\/(sqrt(28)\/sqrt(4)*6)))**2.\nAnswer: 7000*sqrt(7) + 857600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {d: 2, c: 2, l: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4570)\/1828)\/((-5)\/(-12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*t**2 - 162*t**2 - 80*t**2)*(2*t**3 + 5*t**3 - 3*t**3).\nAnswer: -920*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*p + 37*p + 16*p**2)*(-5 + 3 - 2).\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -34 - (10\/(-5) + 4). What are the prime factors of (-5262)\/f - (-1)\/(-6)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -19, -4, 2\/7, 31, -1.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.7000079 + 7.7. What is y rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*w - 26, -s - 24*w = -26*w - 8. Sort s, 0.1, -3, -0.5, -5 in increasing order.\nAnswer: -5, -3, -0.5, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 6:06 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64.4 + 64. Let d = 0.4 + 0.1. Which is the second smallest value? (a) s (b) d (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222312258 a multiple of 4578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (166\/30)\/(0 + 1) and (1\/(-8))\/((-902)\/(-920) + (-26)\/26)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.578 (b) 29\/7 (c) -3\/25 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.1 and 1961097787168?\nAnswer: 1961097787170.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3.01*-16\nAnswer: 48.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -p - 27, 4*x - 4*p + 27 = -9 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11812256?\nAnswer: 2, 369133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + 3*sqrt(125) + 1))**2.\nAnswer: -120*sqrt(5) + 4504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(931) + (-5 + 2 + sqrt(931) - sqrt(931)) + (sqrt(931)*-1)**2 + 2 + -5)*-4.\nAnswer: -22200 - 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 10:52 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -26, -25, -22, -17?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, j: 6, i: 5, u: 4}. What is prob of sequence ju?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-10 - 4 - -12) + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.1 + 5.35. Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) -0.03 (c) -1.7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*m = 41, 36 = -2*w + 4*w + 2*m. Suppose 15 = 3*o, -2*f - 175 = -7*f - 5*o. Let v = f - w. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*c + 36*c + 910 = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a + 6. Let i(v) = 5*v**3 + v**2 - 2. Let d be i(-1). Let b(o) = -13*o + 11. Let q(y) = d*b(y) + 11*l(y). Let z(f) = -6*f**2 + 3*f. Give q(z(m)).\nAnswer: -6*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztttttzttzttttttttzt. Give prob of picking 1 t and 2 z.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*y - 4 = 0, 4*j - 24 = -6*y + 10*y. Suppose 2*a + 22 = 4*d, 15 = -d - 5*a + j. Solve -2*r = -d*r + 3*w + 17, 0 = -3*r - 4*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16011c (base 13) to base 7\nAnswer: -4420443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2016 is divided by 1651?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -11 + 1 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130200 - -112?\nAnswer: -130022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 d, 1 p, and 1 b when four letters picked without replacement from {d: 2, p: 1, b: 7, o: 1, h: 3}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(2 + (-3 - -3)). Suppose -u*t = -2*t. Solve t*c + 12 = 3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 5*t**2 + 5. Let u(m) = m**2 - 1. Suppose 4*g + 25 = -g, 0 = -4*w - 5*g - 1. Let b be 9\/w - (3 - (-21)\/(-6)). Give b*k(n) + 10*u(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 296 + 5216. Suppose -5*j + h = -207. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38001 + -9.\nAnswer: 37992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 0 - 1\/10*z**6 + 0*z**4 + 1\/2*z**3 + 3*z + 0*z**2 + 0*z**5. What is the second derivative of a(r) wrt r?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(2 + 2 + 1)*(2*w**2 + 0*w**2 - 4*w**2).\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 246675329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**3\/4 - 1. Find s such that t(s) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19740017699 + 0\nAnswer: 19740017699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*105\/18*(-3)\/(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 87575.7544?\nAnswer: 87574.7544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1))**(-44) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 50, 15, 11652?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = d + 4*j, -5*d + 19 = 4*j + 32 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 887107927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 70343?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 55*g**2 + 45*g + 619. What is x(56)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -4, -12663, 5, -5 in decreasing order.\nAnswer: 16, 5, -4, -5, -12663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t - 2*t - 9*t + 0*t. Let g(y) = 90*y. Suppose -3*q = 5*a + 50, -3*q + 4*q = -5*a. Let j(v) = q*d(v) - 4*g(v). Let r(c) = -c. Calculate r(j(s)).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(200) + -1)*4)**2 + 3).\nAnswer: -960*sqrt(2) + 9657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 + 2 + -2 + 2 + 28 + -26?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 1)\/(2 + 28\/(-10)). Let o be q - (8 + 2747993 + (-12)\/(-3)). Round o to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*((6*(4*(sqrt(2448) - (3 + sqrt(2448))) - (4 + 1*sqrt(2448))))**2 + 1).\nAnswer: 55296*sqrt(17) + 389381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5, 5*a - 14 = -76*k - 0*a - 19 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**3 + 19116*k**2 - 16513176*k + 3746375312 = 0.\nAnswer: 466, 8626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*v + 253*v - 163*v - 30*v - 391 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -18. Let p = -22160.7 - -22161. Put p, 3, h in decreasing order.\nAnswer: h, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**2\/4 - 355*t\/2 + 3675\/4 = 0?\nAnswer: -147, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/375 and 33\/2305?\nAnswer: 172875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19463.\nAnswer: 19463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h - 11*h + 16*h + (-h + 2*h + h)*(-18 - 7 + 12) to c*h + x and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -22*b - 2987. What is the remainder when 581 is divided by m(-144)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u - 2. Let o be a(-2). Let l(r) = -r + 12. Let i be l(-4). Let m = o + i. Calculate the lowest common multiple of 5 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 5*o + 628 - 671 = 0, 0 = 5*y + o + 50 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 35, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j - 59. Let b be d(6). Solve a - 2*h = 1, a + b - 2 = -5*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343 + 103 = -6*s. Suppose -5*f + 4*b = -220, -5*f + 107 = b - 113. Suppose f = 4*a - s. Solve 6*j - 2*j - a = -y, -5*j - 2*y = -27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5947 + -6086. Which is the third smallest value? (a) 1\/5 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13624, -18445, -23266, -28087, -32908, -37729?\n\"Answer: -4821*s - 8803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 1962, -362 in increasing order.\nAnswer: -362, -3, 0, 1962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 3\/2, -2\/35, 3 in ascending order.\nAnswer: -3, -2\/35, 3\/2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30\/61 + -1676\/183. Let f = u + 8. Which is the nearest to -1\/2? (a) -3 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9210799 nanograms in micrograms?\nAnswer: 0.0009210799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 501046.7ms to nanoseconds.\nAnswer: 501046700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35217.42285809 - -2.\nAnswer: -35215.42285809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/10 + 5\/(125\/10865). Suppose n - y - u = -2*n, 0 = 4*n + y - 567. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 167284353 and 97.\nAnswer: 167284450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 92314\/6 + 940\/282 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569 a factor of 315748083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -5*14\/(-35)*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*q - 4*l + 21, 3*q - 17 = -4*l. Let x(k) = -8*k + 1. Let r be x(q). Let 17*j**3 + 18*j - 4*j**5 - 22*j - r*j**3 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + k**4 + 14*k**3 - 5*k**3 - 8*k**3)*(-4 + 5 + 1).\nAnswer: 2*k**4 + 2*k**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 299*a + 1. Let q(c) = 1498*c + 6. What is 3*q(u) - 16*t(u)?\nAnswer: -290*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*a - 4*a, 2*v = 2*a - 8. Let t(g) = -7*g**2 + 6*g**2 + v*g**2. Let f(y) = 8*y**2. Determine t(f(l)).\nAnswer: -64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 154\/21 - (-9379)\/26103.\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*g + 120*g + 1360 = 0 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -8, 2\/13 in increasing order.\nAnswer: -8, 2\/13, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(32\/3)*m)\/m**(-4\/3))\/(m**9*(m\/(m*m*m**(-7\/9)))\/m) assuming m is positive.\nAnswer: m**(65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.04 - 0.04. Let x = 136 + -136.06. Which is the nearest to -1\/4? (a) x (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 16*l + 15. Let b be q(23). Let f = 557 - b. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 - 21*p + 14. Give j(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107017027 or 107017023?\nAnswer: 107017023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38573486 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 20 (b) -0.1 (c) -45 (d) 0.3 (e) 3\/4 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351571 and 14663.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 933698009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -13.7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a*c**2*q**2 + 48*a*c**2*q - 5*a*c**2 - 2*a*c + 2 wrt q?\nAnswer: -2*a*c**2*q + 48*a*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5, -1, -19, -55, -115, -205, -331, -499?\n\"Answer: -p**3 + p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5382 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: b\"What is the fth term of -54906, -109816, -164730, -219648, -274570, -329496?\n\"Answer: -2*f**2 - 54904*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33592 and 260787293?\nAnswer: 4199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2551979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2 - 7*l - 6. Let s be o(-1). Solve 0 = s*r - 0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fftvwvwvpfrwfvt. What is prob of picking 1 t, 1 f, and 1 v?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 - p**2 + 1. Let y be k(-2). Let x = y + 35. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(2\/3))\/k)\/k)\/k*k**0)\/(k**(-2\/3)\/k**(-2\/11))*(k**(-1)*k*k*k*k**0*k*k*k*k*k)\/(k*k**1*k*k**(-4\/7)\/k) assuming k is positive.\nAnswer: k**(1091\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-1*(-1 - 2). Let v(m) be the third derivative of 1\/120*m**6 + 1\/2*m**3 + 0 + 0*m - 1\/6*m**4 - 1\/20*m**5 - 18*m**2. What is v(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110000 + -1001000101001100?\nAnswer: -1000111010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231473, 220711, 209937, 199145, 188329, 177483, 166601?\nAnswer: 155677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/53, 1\/10, -3\/2, 0.01, -1 in descending order.\nAnswer: 1\/10, 0.01, -2\/53, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*k - 25. Suppose 3*t - k*i - i = -602, -i + 392 = -2*t. Let l = t - -275. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -734*r = -787*r + 370364. List the prime factors of r.\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/11)\/(284\/1562).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -814 + 814 + 141088*a**2 + 118787*a**2.\nAnswer: 259875*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + w + 4 = -w, -4*w = 0. Let v = 3 - t. List the prime factors of (-3)\/(-2*v - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u**2 + 20 - u + 6 - 9.\nAnswer: 26*u**2 - u + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 10*d - 5. Let r(n) = 29*n - 14. What is 4*r(h) - 11*t(h)?\nAnswer: 6*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -5\/7, 8?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*o + 7, 0 = -s - 0*o + 2*o + 5. Suppose -q = 0, 2*y - s*y + 3 = 5*q. Let u(d) = -3*d**y + 2*d**3 - d**2 - 2 - 2. Determine u(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -5167, -134, -3, 0.5 in descending order.\nAnswer: 0.5, -1\/3, -3, -134, -5167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 86 + 35)*(-2*n + 5*n - 9*n).\nAnswer: 168*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 + 4*o - 4. Let g(s) = -s**2 + 9*s + 21. Let y be g(9). Let n(k) = 8*k + 15 - 35*k - y*k**2 + 12. Give -4*n(f) - 27*w(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 12, 15, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/28028 and 93\/5230148.\nAnswer: 475943468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2.5126 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 284565 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28872 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, -15, 4.\nAnswer: -15, -3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -24682879 divided by -137?\nAnswer: 180167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6 - 288)\/(-3))\/((-6)\/(-69)).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265127 is divided by 1657.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -133333351 (base 6) in base 2?\nAnswer: -1010010000000110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.11 (b) 1 (c) -4\/5 (d) 7 (e) 3 (f) 102 (g) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*s + 11*s + 31*s + 108*s.\nAnswer: 179*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/((-1)\/(-3)). Let o(b) = -b + 25. Let r be o(16). Suppose 17*q - r = 14*q. Put 6, q, j, 2 in decreasing order.\nAnswer: 6, q, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87487480 and 3852.\nAnswer: 787387320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 603 = 9*w + 189. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87169076.\nAnswer: 2, 1567, 13907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 147660213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 7*g**4\/6 + g**2 + 20*g. Differentiate k(n) with respect to n.\nAnswer: 28*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6.3 and -387\/161 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 9:20 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19459892?\nAnswer: 2, 311, 15643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -18. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 + 4*x - 16*x**3 + 2*x**2 - 1 + 17*x**3. Let r be t(-5). Suppose r*d - 4*j = -3*j + 123, -3*d + 81 = 3*j. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17888 < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -k - a, -4 = -2*k - 4*a - a. Let p be (6\/4)\/(3\/(-6)). Let b(f) = -f**3 - f**2 + 3*f - 4. Let s be b(p). Solve -k = s*i + 3*d, -6 = -3*d - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/5 - -1)\/(40\/(-646800)*-231)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3864 and 11674432?\nAnswer: 35023296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 738*b. Let k(q) = 300*q. Calculate k(m(g)).\nAnswer: 221400*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**5\/60 + 37*u**2. Let q = 2 + 1. Let n(c) = 6*c - 3 + q. Give b(n(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*i + 101*i + 189 + 219*i wrt i.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20, 1, 18, 31?\n\"Answer: -2*q**2 + 27*q - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211179 is divided by 23361.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -126*5\/50 + 21\/(945\/(-18))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 270 = -108. Let c be (p\/(-10) - -2)*(-1 + 7). What is the closest to -2\/5 in -2\/9, -5, -1\/5, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 + (11 - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -8) + 11 + (9 + -10 - (-3 + 0)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44469 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3107 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(56) - sqrt(56)*-1) - (sqrt(896) + sqrt(896) + (sqrt(896) - (sqrt(896)*3 + sqrt(896) + sqrt(896))) - sqrt(56)))\/(-6*1*sqrt(128)*1))**2.\nAnswer: 2023\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*k + 4*l - 179, 3*k = 3*l - 582. Let z = k - -201. Sort z, 4, 5, 0 in decreasing order.\nAnswer: 5, 4, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320269 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, o: 8, w: 3, m: 3}. Give prob of sequence mom.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**2 - 4. Let z(n) = -7*n**2 + 3. Let j = -14 + 8. Let g(d) = j*z(d) - 5*p(d). What is the first derivative of g(o) wrt o?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 2. Let d(f) = 2*f**3 + 4. Suppose t - 5*a = -10, -2*a + 7*a = 2*t + 5. Calculate t*j(g) + 2*d(g).\nAnswer: -g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000069469 to seven dps.\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 4*r + 4*r + (0*r + r - 3*r)*(2 - 4 + 4) + (-11 - r + 11)*(6 - 3 - 2).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 986210, 986022, 985708, 985268?\n\"Answer: -63*g**2 + g + 986272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 33250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5068 - 3538. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 306 + 5?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9738216 + -4?\nAnswer: -9738220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 110241016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 497.286 rounded to the nearest 10?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 2 (b) 3\/2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 288849 >= 288039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3 + l - 2*l - 3. Let b(s) = 3*s**2. What is r(b(c))?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54758274602 - -66.\nAnswer: 54758274668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-2) - 11470\/(-1550)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.74 plus 0.04663735?\nAnswer: 17.78663735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.93 to 0 decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -3\/8, 76\/77, -4\/13?\nAnswer: 76\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzzzzzzzzzzppz. Give prob of picking 4 z.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -22*61\/(12749\/(-114))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144214 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z + 110. Let b be p(11). Let d(x) = 28*x - 3. Let l be d(4). Suppose 21 - l = -u. Calculate the greatest common factor of b and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 638687 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1 - 7*j**2 + 9*j**2 - j**2. Let o be m(1). Suppose 4 = p + 5*u, -5*u + 8 + 0 = 2*p. Solve -2*y - 6 = -o*b, -4*b + 24 = -p*y - 6*b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 646 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/4)*s*s**(-7)*s**5*s*s*s\/(s**0\/s)*s assuming s is positive.\nAnswer: s**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -3745 + 12117. Suppose 5*r - d - 724 = 0. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 14 = -9*p + 5*l, 4*p + 3*l = -5. Do 2\/55 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23713 by -3.\nAnswer: 23713\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppvzfnfnnyfn. Give prob of picking 2 f and 2 p.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 57597809 to the power of 1\/3, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5469860 divided by 23782?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000926398987 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23132949.\nAnswer: 3, 7, 22481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**3 - 1195*b**2 + 72280*b - 983580 = 0.\nAnswer: -291, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a - 5. Let d be u(-4). Let h = 32 - d. Calculate the smallest common multiple of 2 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -31\/3*w**3 - 8 + 43\/2*w**2 + 0*w. What is the second derivative of x(a) wrt a?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 368050799?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 87073, 87072, 87071, 87070, 87069, 87068?\n\"Answer: -i + 87074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 - 2688*d**2 - 5382*d - 1. Let r be h(-2). Let i = -0.8 + -0.2. Let y = 0.01 - 0.07. Sort r, i, y in decreasing order.\nAnswer: y, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(70)\/(sqrt(490)*-1)*4 + ((sqrt(14)*-3 + sqrt(14))*4)\/(sqrt(200) + sqrt(200)*4).\nAnswer: 572*sqrt(7)\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-2*7*5\/140*2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l + 132066 - 132066 + 4*l - 2*l + 17*l.\nAnswer: 33*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 8 = 2*s. Suppose -15*d + 24*d - 108 = 0. Suppose 5*c + 2*v - 14 = 0, -5*c - 3*v + d = -s*v. Solve -16 = 2*i + i + c*m, 4*m = -8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142 and 3479.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6*q = 2*q + 136, -4*y + q + 317 = 0. What is the remainder when y is divided by 66?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -97*g - 61. Let n be t(5). Let w = -410 - n. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(3\/3 - -1). Let n = 5 + j. Suppose 5*w - 5 = l + 9, -3*l + 6 = -3*w. Calculate the remainder when n is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a century in years?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 510*i**3\/23 - 524*i**2\/23 + 14*i\/23.\nAnswer: 2*i*(i - 1)*(255*i - 7)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.061 in -3, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((1*sqrt(96) + sqrt(96))\/sqrt(8))\/(1*sqrt(54)))*-2.\nAnswer: -4 - 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-21)*u)**5\/(u**(-16\/9)*u\/(u**(7\/2)\/u)) assuming u is positive.\nAnswer: u**(-1741\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 - 5*a + 8. Let y = -1 - -7. Does 18 divide n(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 3*v - 4, 165*a - 156*a - 12 = -3*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83 and 10541.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 627286623 to the power of 1\/2, to the nearest integer?\nAnswer: 25046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 11*w + 2871 = -5*o, 2*w + 4*o = 2826. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 11:27 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 + 66. What is the remainder when s is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 + -24. Calculate the smallest common multiple of a and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - h = -11, 5*o = -2*h - 0*h - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*k - 2 = 17, -5*b = 3*k - 134. Suppose b*i - 31*i = -1284. List the prime factors of i.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8651.076 micrograms to kilograms.\nAnswer: 0.000008651076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8151 and 63422?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -2, 431, 2, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/12))\/(c\/c**(-1\/12)))\/(c\/(c*c*c\/(((c\/c**(1\/20))\/c)\/c)*c)*c*(c\/((c*c**6\/c*c)\/c))\/c) assuming c is positive.\nAnswer: c**(533\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27\/4 - -7. Let l = 53 - 55. Which is the third biggest value? (a) r (b) 0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 5*y**3\/3 - 5*y**2\/2 - y - 2467. Let h(b) = -24*b**2 + 24*b + 4. Suppose 7 + 2 = 3*z. What is z*h(f) + 14*u(f)?\nAnswer: -2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4491 is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -185072 (base 9) to base 11.\nAnswer: -79650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -704.5 - 1?\nAnswer: -705.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2084.45 + 2084.4. What is the closest to -2 in -2\/9, -24, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**6 - 44755265*a**5 + 24074764*a**2 wrt a?\nAnswer: -120*a**3 - 2685315900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -0.3, 1\/6, -4\/9, -21\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 9339\nAnswer: 4\/9339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 545329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (84184\/16 + -3)*(-20 + 22). Calculate the highest common factor of z and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - 42*k**2 + 401*k - 8426. What is l(21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*a + 40 - 29. Solve -5*r + 0*p = -2*p + a, -5 = -5*r + 5*p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 t, and 1 k when three letters picked without replacement from tpbbmmpbpbtpmfptmpkp.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1984\/(-1116))\/((-8)\/144)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(504)\/sqrt(2) + 5.\nAnswer: 5 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -332*l + 478. Determine g(8).\nAnswer: -2178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-7)\/2)\/(14\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -4. Let d = r + 17. Calculate the remainder when 13 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -1*sqrt(171) + sqrt(171) + 1 + -2 + -5 + -3*1*sqrt(931))**2*-6.\nAnswer: -37152 - 1296*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*o**3*s**5 + 502*o**3*s**2 - 9*o**3 + 679*s wrt s?\nAnswer: -500*o**3*s**3 + 1004*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4723365 to the power of 1\/2, to the nearest integer?\nAnswer: 2173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8633078 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51192868*a**5 - 32281373*a.\nAnswer: -1023857360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 - 31*y - 2. Let x(o) = -o**2 - o + 1. Give -p(h) - 2*x(h).\nAnswer: -h**2 + 33*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 10:35 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3110, -3, -5 in descending order.\nAnswer: -3, -5, -3110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4682469 and 4512.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1219892601?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 3\/4, 1\/3, 0.03.\nAnswer: -89, 0.03, 1\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 a factor of 137886939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.248635\nAnswer: 0.049727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - -6*2*sqrt(152))\/(1*sqrt(8)*-4).\nAnswer: -13*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjccjsjimjjc. Give prob of picking 1 j, 1 i, and 1 c.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q - 585 = -68*q. Solve 0 = 3*a + 3*i + 30, 3*i + 2 + q = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 6*s - 5. Let r be p(-7). Let n = r + -2. Suppose n = -0*d + 5*d - 315000. Round d to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -21*a + 65. Let o be n(3). Suppose -2*y + o*g = -60, -3*g = 5*y - 4*g - 150. Calculate the greatest common factor of y and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 < 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*w - 375090 + 50503 = 532997. List the prime factors of w.\nAnswer: 2, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 2*v**3 - 8*v + 8*v**2 + 2 - v**2 - 3*v**3. Let g be z(4). Solve 0 = n + y + 4, 5*n - 11 = -g*y - 31 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*z + 0*z - 2)*(0*z**2 + 3*z**2 - 2*z**2 + (z**2 + 0*z**2 - 2*z**2)*(-2 + 6 - 2)).\nAnswer: 2*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 973, 1104, 1223, 1324, 1401?\n\"Answer: -v**3 + 138*v + 836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45275 - 11909 + 47245 - 9138 + 6629 + 27961)*(2*g + 3 - 3).\nAnswer: 212126*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l - 4 = 0. Suppose s = 9 - l. Let z = -1705 - -1702. Sort s, 2, z in decreasing order.\nAnswer: s, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 12:40 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(7)*-1 + -4 + 1*sqrt(7))**2.\nAnswer: -16*sqrt(7) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgqkkgqgqg. What is prob of sequence kkgg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-15)*363\/121.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2334 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 105 = -2*n. Suppose 3*u - n = 39. Suppose 2*v = -0*v, 5*v = -2*a + u. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.64 + -0.93. Let x = -339642 - -339642.290034. Let o = x + d. What is o rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o - 14. Let u be (-2)\/o - 48\/(-56). Let k(x) = -5*x - 6*x**2 - x**3 + 7*x + u - 6*x. Calculate k(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -14 + 54. Let n be 4\/t*5*(-314)\/5. Suppose n = 6*g - 119. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*p - 279\/2*p**3 - 1\/2*p**5 + 51\/2*p**4 + 405\/2*p**2.\nAnswer: -p**2*(p - 45)*(p - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26240600 and 4?\nAnswer: 26240600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9\/2))**(3\/5) assuming i is positive.\nAnswer: i**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -25156.4 and -1.2349.\nAnswer: -25157.6349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**4\/4 - 21*h**3\/2 - 69*h**2 + 914*h. Determine q, given that p(q) = 0.\nAnswer: -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oorrjror. What is prob of sequence rjro?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 290*i - 287*i = -6*q - 12, -2*q + 1 = -7*i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - 18*w + 6. Suppose 9*p = 8*p + 7. Let f be q(p). Suppose -7*h = f - 6. Sort h, 9, -1, 5.\nAnswer: h, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10\/31 - -89\/372. Suppose 0 = 2*d - 7 - 17. Suppose 4*p - 21 = -5*w, 2*p + w = 3*w - d. Which is greater: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.6, -5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 + 355d?\nAnswer: 3539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - -0.7. Suppose -3*o - 4*q + 22 = 7, 0 = -q. What is the third biggest value in v, o, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-2)\/81)\/(8\/12).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (0 - -3) - -7. Let i be (-2)\/((-6)\/519) - (-35 + 32). Calculate the greatest common divisor of x and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -158*b**7\/105 + 3*b**5\/4 + 119*b**2 - 2*b. What is the third derivative of v(h) wrt h?\nAnswer: -7584*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 7*o**2 - 8*o + 2. Suppose 5*m + 3*a = -3 - 3, -3*a = 3*m + 6. Suppose m = -c - 11*c. Let u be (1 - c) + 27\/(-3). What is l(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -5, -2, 35, 5, 21 in ascending order.\nAnswer: -14, -5, -2, 5, 21, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/54)\/(-3*24\/1764).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/40 - 60\/100?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -924 + 928. Factor -35\/2*b**3 - 25\/4*b**p - 11*b**2 + 0 - 2*b.\nAnswer: -b*(b + 2)*(5*b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1210*n - 1212*n - 12 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 8:14 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117597784?\nAnswer: 2, 29, 506887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r. Determine z(-11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose -232*u + 236*u = 256. Suppose -5*i - 3*b = -202, b = r*i - 2*b - u. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0 - 4. Suppose -m = -4*y + 4*m + 19, -p*m = -2*y + 10. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -46329*i. Let r(d) = -751*d**2. What is r(k(z))?\nAnswer: -1611928556991*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22316943?\nAnswer: 3, 11, 599, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 0 - 41\/60*a**5 + 0*a**7 + 0*a**3 + 0*a**4 + 15\/112*a**8 + 15*a**2 + 0*a + 0*a**6. Find the third derivative of r(j) wrt j.\nAnswer: 2700*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*l, -l = -4*l + 3*o. Suppose -4*q = -l*q + 64. Let x = q + 19. Solve -x*y + 2 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -7. Suppose 0 = -s*h + 15 + 12. Suppose x = 3*i - 10, -5*x + 4*i - h*i = -30. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492425?\nAnswer: 5, 19697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*n**4\/21 - 22981818*n**3\/7 + 5553160849702*n**2\/21 - 1885629330246*n\/7 + 103796086276\/21 = 0.\nAnswer: 2\/107, 1, 161087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151286 + -100342. Is i a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -1\/20*k**5 + 0*k - k**2 + 1\/3*k**3 + 0 + 0*k**4. What is the first derivative of p(s) wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 393, 1478, 3277, 5784, 8993, 12898?\nAnswer: 17493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 21 - 9 = -16*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151211, -303268, -455325?\nAnswer: -607382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 270*u + 281. What is the remainder when s(6) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8082 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -167972482 + 85\nAnswer: -167972397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 17) + -13 + (-12 - -4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 5*d + 6. Let g be n(2). Is g greater than -21\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 10*x**2 + 24*x - 11. Let t be z(12). Let s(o) = 3*o + 9. Let k(y) = -y - 3. Give t*k(a) - 4*s(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.003 - -1.997. Let x = b - -13. Let g = x - 15. Is 0.11 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390429.8 kilometers in centimeters?\nAnswer: 39042980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 109*b**2. Let c(y) = -1647*y**2 - 5*y. Calculate c(n(w)).\nAnswer: -19568007*w**4 - 545*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4) + (-6)\/(-3))\/(1570\/(-28260))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -15*y**2 + 5*y - 5. Let l(o) = 7*o**2 - 2*o + 2. Let s(n) = 5*l(n) + 2*t(n). Let f(d) = -9*d**2. Determine s(f(b)).\nAnswer: 405*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375371259.\nAnswer: 3, 125123753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4985*n**4 - 7580902*n**3 + 7580902*n**3 + (n - 2*n**3 - n)*(0*n - n + 2*n) to m + s*n + y*n**4 + c*n**2 + z*n**3 and give y.\nAnswer: 4983","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 196616.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 62503794 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 2. Let a be d(-5). Let v = 8 + 8. Suppose 5*r = -4*i - v, 2*i - r - 2*r = -8. Sort i, -5, a.\nAnswer: a, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1549052 times -1?\nAnswer: -0.1549052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 39*c - 1226. List the prime factors of d(75).\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -15*f**3 - 5*f**2 + 5*f - 5. Suppose m = 5*h + 37, 7*m - 2*m - 10 = 0. Let n(d) = 22*d**3 + 7*d**2 - 7*d + 7. What is h*r(w) - 5*n(w)?\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2487696 = v, 2*v = 7*v - 2*u - 12438467. Let t = v - 1360693. Round t to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.04.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 99 - 105. Let y be m\/(-56) + (-6)\/4. Let h be (-6)\/(-8) + 93\/36. Which is the nearest to h? (a) y (b) -1\/2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -5*c**4\/24 + 7*c**3\/6 + 2*c**2 + 31*c + 5. Determine u(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 7 + 9. Let o be 3 + 0 + h*6. Sort 1, o, 2 in ascending order.\nAnswer: o, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -19. Which is the nearest to q? (a) -0.5 (b) -4 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = 11*j + 368. Solve 0 = -0*f + 4*f + 2*c + 10, c = -5*f - j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(136)*1 - sqrt(136))*4 + sqrt(136)))\/(sqrt(288)*-3*-3).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 246551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -650 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 583.5 and 75.\nAnswer: 43762.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 - 8?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(35) + sqrt(35)*-3*1))\/(-5*-5*sqrt(500)).\nAnswer: -6*sqrt(7)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*n + 4 = -7, 0 = n + 3. Let h(k) be the third derivative of 0*k**3 + 0*k**r - 1\/20*k**6 + 0*k - 1\/15*k**5 + 0 + k**2. Factor h(d).\nAnswer: -2*d**2*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t - 1. Let f be l(1). Suppose f*c + 7 = 22. Solve -4*r + c*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + sqrt(847)*1*2 + sqrt(847)*1 + 3) + 2)**2.\nAnswer: 9240*sqrt(7) + 191359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**12*p*p*(p\/p**(-7))\/p*p)**(-9)\/((p**(-2\/15))**(-24))**(-13\/3) assuming p is positive.\nAnswer: p**(-2762\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24781 is divided by 1185?\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190854847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*m = 2 - 9, 17 = -3*i - 4*m. Suppose 2*h + 3*s - i = h, 0 = -3*h - 5*s + 7. Sort h, 3, -4 in increasing order.\nAnswer: -4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 + 523*d + 892*d - 1.\nAnswer: 1415*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 868*q**2*s**2 - 2*q*s - 483*s**2 wrt q?\nAnswer: 1736*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116 and 232?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 17288 = 19*x - 964. Let o(i) = i**2 + 4*i - 8. Let v be o(-6). Suppose v*u + 5*l - x = 1815, -u = -5*l - 809. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-8)*q*q**6)\/(q**(-2))**(-32))\/(q\/(q*q*(q\/q**(1\/6))\/q)*q*q\/(q\/q**1)*q)**(3\/4) assuming q is positive.\nAnswer: q**(-389\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 330314499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4361373 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 4. Let z = 12 - d. Suppose -3*u - 4*i + 17 = -0*u, -5*i = -z*u + 2. Solve 3*y = -3*g - 15, g = 2*y + u*y + 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39366 + -22.\nAnswer: 39344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - 2 - 294535*v + 294535*v - 2*v**2 + 25*v**3 in the form q*v + c*v**2 + w*v**3 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from {w: 2, y: 1, q: 4, f: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247989043 to the power of 1\/2, to the nearest integer?\nAnswer: 35327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -y - 5*s, -41 = 3*y - 4*y + 2*s. Let l be (3\/(-4) + 1)*(y - 33). Suppose -l*o + 0 + 10\/3*o**2 - 14*o**4 + 38\/3*o**3 = 0. What is o?\nAnswer: -3\/7, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2953 - -2957. Suppose -2*p + 43 + 1 = 3*c, 144 = 5*p - c. Suppose -12 = q - 4*r, -3*r + 11 = -4*q + p. Put q, -1, z, -1\/5 in descending order.\nAnswer: q, z, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/7 + 7\/98*-164?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4 = x - 6, -5*x - 3*h + 16 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -5*h**5\/2 + 1125*h**4\/2 + 382785*h**3\/2 - 87190865*h**2\/2 - 87762780*h - 43976520 = 0.\nAnswer: -277, -1, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**2 + 25002963*s\/5 + 5000592\/5 = 0.\nAnswer: -1666864, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-13)*10*(-30)\/14250.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 2*p - 7*p + 0*p - 3*p + 5*p - 2*p + 0*p + 3*p + (-2 + 2 + 2*p)*(6 - 2 - 3) - 3*p + 4*p + 0*p - 3 - 3*p + 3 - 2*p + 2*p - 2*p + 12*p + 282 - 282.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 150, 581, 1300, 2307, 3602?\n\"Answer: 144*r**2 - r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.083 * -0.0554.\nAnswer: -0.0045982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116 - -467\/4. Let a = 0.9 + -0.4. Sort 3, -0.5, f, a in descending order.\nAnswer: 3, f, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5877 + 17508. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2665)\/(-39) + 4\/6. Suppose -b = -5*t + 4*b + 80, -4*t + 3*b + j = 0. Let d be 3\/(t*1\/3). Which is smaller: -2\/3 or d?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 49, 639, 1627, 3013, 4797, 6979, 9559?\n\"Answer: 199*r**2 - 7*r - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 - 300 = 4*s. Solve -s*i - 3*l + 11 = -0*l, -l = -2*i + 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-10) - (-18)\/10. Suppose -8 = 2*y - 2*m - s*m, 0 = 4*y + 4*m + 4. What are the prime factors of ((-11)\/2)\/(y\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**5\/20 + v**3\/2 - 2*v**2 + 4*v. Let n be q(-3). What is the highest common divisor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1539, 1576, 1613, 1650, 1687, 1724?\nAnswer: 1761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2792*3\nAnswer: 0.8376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 + 0*a**4 + a**4 + (12*a**3 - 7*a**2 + 7*a**2)*(-a + 6*a - 3*a) + 4*a**4 + 2*a**3 - 2*a**3.\nAnswer: 29*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 236142 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 12. Suppose g*k = -0*k - 5*p + 30, -2*k + 30 = -p. Calculate the highest common divisor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 41\nAnswer: 9\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/329, -1\/7, -58.68?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106\/13 + -638\/91. What is the smallest value in -2\/17, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008984173 to six dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2151 - 2147. Solve -5*m + 16 = -0*m - 3*r, -k*m + 3*r + 11 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 207760, 415519, 623278, 831037?\n\"Answer: 207759*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051754437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*j + 12. Suppose 0 = 5*i - j*i. Solve 4*h - 2*h - 3*m - 14 = i, 8 = h - 2*m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*w - 133.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 6 = k, -484971 + 484983 = 2*k + 4*h for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 2108 = -7*x - 5*h, 4156 = 2*x - 5*h. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 164 + -165. Let n(g) = -4*g**2 - 8*g + 8. Let h(i) = -i**2 - i + 1. Determine l*n(u) + 8*h(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 22. Which is smaller: -14 or r?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -1076*s**5\/15 - s**4\/24 + 63*s**3 - 142*s**2 - 3*s + 4. What is the second derivative of z(b) wrt b?\nAnswer: -8608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2772 - 3?\nAnswer: 2769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.97211924 rounded to 1 decimal place?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + w - 6. Let a(q) = -2*q + 22. Let n be a(9). Let m(j) = 1. Give n*m(y) + t(y).\nAnswer: y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 2. Let i(r) = r + 1. What is 2*i(y) - u(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45816329 and 5486?\nAnswer: 2743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 1:27 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654 is divided by 319?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 4:57 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 - 27*p**3 + 17*p**2 - 7*p**2 + 0*p**3 + 3*p**2.\nAnswer: -31*p**3 + 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48294, -96749, -145204?\nAnswer: -193659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + (4 - -1) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1593*x - 12 = -1588*x + r, 2*x + 4*r + 12 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -192? (a) 0 (b) 5 (c) 2765 (d) -2\/11 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.3 (b) 1\/11 (c) -5 (d) -0.8 (e) -22.3 (f) 65\/2 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -144812*i**3 - 123*i**2 + 246*i. Let o(q) = 2374*q**3 + 2*q**2 - 4*q. Calculate -2*c(r) - 123*o(r).\nAnswer: -2378*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72198111 is divided by 218?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122127742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10675 = -211*b - 21819 for b.\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 825797228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1888 - 17017\/9. Let s = -3 - j. Let t = -0.16 - -4.16. Which is the third smallest value? (a) s (b) 1 (c) -1\/5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2934 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133\/3 - -43. Let t = 0.5 - 0.2. Let o = -0.9 - -4.9. What is the smallest value in t, o, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.59 + -53.41. Let m = 49.4 + u. Let x = m - -4.7. What is the nearest to -9 in 0.3, x, 5\/6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 914 and 0.4.\nAnswer: 365.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -86, -45, 10, 85, 186, 319, 490, 705?\n\"Answer: u**3 + u**2 + 31*u - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 13 - (-2 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + 1 + 5 + 29 + -39?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2070528 and -7352700.\nAnswer: -7352700.2070528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56572244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.9 + 18. Which is the closest to 0? (a) 2 (b) -1\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 - j + 1. Is g(17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31245 - 526726\/17. Suppose 20*u = 18*u - 522. Let h = f + u. Put -0.2, h, 0 in increasing order.\nAnswer: -0.2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 9. Let p be a(4). Let w(j) = -1. Let g(q) = q + 14. Suppose -4*z + 3*r - 36 = 0, 5*z - 2*r + 46 = 2*r. Let l(u) = z*w(u) - g(u). Calculate l(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -42 + 25*z - 1\/3*z**3 - 8\/3*z**2 = 0?\nAnswer: -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(228))\/sqrt(12)*-3.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, i: 8}. What is prob of sequence ii?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 9 + 1. Suppose j*p - 55 = -3*p. Let r = -87 - p. Round r to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1303410.\nAnswer: 2, 3, 5, 23, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s**3 - 2*s**2 - 2*s - 1. Calculate f(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 7:59 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 185 + 188 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31106 at least as big as 31107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 902\/8589 - 4\/409. Which is the second biggest value? (a) z (b) -1\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -16. Suppose c - 35 = -2*i. Let p be 32*9\/(-60)*-5. Calculate the highest common factor of p and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**6\/720 - 199*g**4\/12 + 4*g - 7. Let v(x) be the third derivative of u(x). Let z(t) = -64*t. Calculate v(z(a)).\nAnswer: -64*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139 - -199. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 16) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 462404437 and 6.\nAnswer: 462404443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from illiiiliii. Give prob of sequence lil.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-7) - (-24)\/(-56). Let h = z - -9. Let i(x) = -x**3 + 5*x**2 + 4*x - 3. What is i(h)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p + c + 12 = 0, -4*c + 15 = p. Let r be p\/3 + (-14)\/(-21). Is 21 a factor of (-6)\/r*(-63)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1 - 4 - 32*f + 2. Is u(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5*z + 56. Let o = -39 - z. Calculate the greatest common divisor of 136 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.19795878 rounded to 2 decimal places?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 564*i**2 + 3*i**3 + 0*i**3 - 564*i**2.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 1:47 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -494*d*n - 1055*n wrt d.\nAnswer: -494*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 248360615 a multiple of 3229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 + 27*g - 6. Let h be d(13). Solve -2*j - h = 3*l, 8*j = -2*l + 4*j - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -0.4 (b) 3 (c) 3\/671 (d) -2\/601 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/2002 and -8\/15812797?\nAnswer: 31625594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = z - 1. Let i be 1 - (-2 - -1) - z. Solve 3*x - 7 = -i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 750*p + 26250. Determine g(-35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -417, -59793 in increasing order.\nAnswer: -59793, -417, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 55455, -2, 8, -1 in decreasing order.\nAnswer: 55455, 8, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 8*n. Let q be (-10 + -2)\/(-1 - (-3)\/(-3)). Let z be w(q). What is the closest to 0.1 in -5, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482235 is divided by 219.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/17 in -2, 0.057, 2\/5?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.2, 4, -2.559, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 - 1.3. Let h = -91 + 83.8. Let i = h + 7. What is the nearest to i in 5, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*p**3 - p**2 + 9733*p + 36 + 5*p**4 + 0*p**3 - 9733*p + 14*p**6 wrt p?\nAnswer: 1680*p**3 + 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -398.457537 rounded to 2 decimal places?\nAnswer: -398.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3192\/133 - (-3 + 13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-70)*3\/9*25\/(-20).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4*v + 55 = 33, -5*i = v + 55 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -342.2 + 354. Let d = -7.8 + h. Which is the nearest to 0.3? (a) 2\/9 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 593\/1460 + 21\/146. Let a(g) be the second derivative of 0*g**3 - x*g**5 + 5*g + 0 + 0*g**2 - 4\/3*g**4. Find the third derivative of a(c) wrt c.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -326 - f**2 + 696 - 352. Let i be b(-4). Does i = -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102020021 (base 3) in base 2?\nAnswer: -1111111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*m*r - 3041132*m + 16045*r**4 - 3*r**3 wrt r.\nAnswer: -5*m + 64180*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2360 + 2345. Which is the biggest value? (a) x (b) -7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7281 + 1426 = 3*k, -4 = 2*b. Let t(w) = -1047*w - 15. Let r be t(-3). Let a = k + r. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*p - 238*p + 477*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -384*p**3 + 436*p**3 + 587*p**3 + (5 - 5 + 3*p)*(-3*p**2 + 2*p**2 + 2*p**2) - 2*p**3 + 0*p + 0*p.\nAnswer: 640*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 783*s + 788*s = -16458, -8227 = -d + 3*s. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 10*s = 9855. Calculate the common denominator of (16\/6)\/(-4)*s\/(-5220) and 71\/18.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848053215.\nAnswer: 3, 5, 18845627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 7. Let a be w(7). Suppose -5*k + 6 + 12 = 2*r, a = -4*r - k. What are the prime factors of (r\/(-2))\/((-1)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -46*f**3 - 16*f**2 - 44*f - 271. What is the hundreds digit of h(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2092206 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 0*x + 1 + 12*x + 8*x - 5*x. Let c be k(0). Let v be ((-1)\/3)\/((-14)\/(-6)). Which is smaller: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2 - 3*h - 14. Let u(c) = -c**2 - c - 5. Suppose -30 = v - 6*v. What is v*f(t) - 17*u(t)?\nAnswer: -t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111002123 + 220?\nAnswer: -111001303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 = 4*b - 24, -3*b + c + 13 = 0. Suppose 0 = b*l + 5*l. Which is smaller: 3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12203215901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 2:43 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 less than -0.074772?\nAnswer: -16.074772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - -1212?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1898068925 to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 9:07 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 + 2*p**2 - 5*p**2 + (125*p - 768 + 768)*(-1 - p + 1)*(-1 + 0 + 0) to t*p + w + v*p**2 and give v.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17951, 17952, 17953?\n\"Answer: s + 17950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*n + 5*n - s, 144*s + 144*s - 287*s = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24609 - 20711 = -10*n. Suppose -n = -5*c + w, 3*w - 4544 = -4*c - c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2030033 (base 5) to base 8\nAnswer: 100567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32 - 24578?\nAnswer: -245aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2 + 1870*k + 80100 = 0 for k.\nAnswer: -890, -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from faaakyaaaypypa. Give prob of picking 1 a and 1 f.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36432283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1375997 and -16.\nAnswer: 22015952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)*v**(1\/6)*v)\/(v**(1\/3)*(v\/((v\/(v*(v*v\/(v*v**(5\/2)*v))\/v))\/v))\/v) assuming v is positive.\nAnswer: v**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 11*q - 17. Let b be p(7). Solve b*r - 7 - 2*r**2 - 11 - 16*r = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 97*x. Let s(g) = -6*g**2. What is j(s(c))?\nAnswer: -582*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 71*z**2 + 471*z - 698. What is f(77)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8, 31, 58, 89?\n\"Answer: 2*v**2 + 17*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1698*o**3 + 6727*o**3 - 1696*o**3 - 1700*o**3 - 1635*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -6, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 826\/1180*5\/14\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 712337501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 + 4*k - 1. Let q(n) = 6*n**2 + 5*n - 1. Determine -4*q(s) + 5*u(s).\nAnswer: s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:44 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1372507255?\nAnswer: 5, 7, 1361, 28813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 478?\nAnswer: -1\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 426057 rounded to the nearest one thousand?\nAnswer: 426000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3824494?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4192.719 micrometers to centimeters.\nAnswer: 0.4192719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 424240\/1650 - (-1)\/15. Let y = 257758\/1001 - f. Calculate the common denominator of -34\/39 and y.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(1900) + -3 + 2 - sqrt(190)\/((sqrt(160)\/sqrt(4))\/sqrt(4))*3).\nAnswer: -2 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + (6 - (40 + -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4\/3, -4, 4.4 in decreasing order.\nAnswer: 4.4, 4\/3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + u. Let m = 52 + -52. Let l be f(m). Do 0.01 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 6:52 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 618098395129 and -2.7?\nAnswer: 618098395131.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2903837\/42 + 69143. Find the common denominator of -19\/132 and y.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -8*j. Let q(p) = -140*p**2 + 1. Determine q(v(t)).\nAnswer: -8960*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-713)\/(-6) + (-8)\/(-48). What is the highest common divisor of u and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149720 to the power of 1\/2, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24500)\/(-1625)*(-884)\/(-119)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 417 and 1535533?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1767761+-2\nAnswer: -1767763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39739942?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27195 + -18301. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - k. Let r(c) = 2*c**2 - 10*c + 7. Let u(h) = -r(h) + 4*z(h). List the prime factors of u(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 + 37. What is the units digit of (-68)\/b + (-1)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*t = 134*t + 82 + 175 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2576957.54 to the nearest 1000.\nAnswer: -2577000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u - 73. Let a be p(-26). Let d(i) = 128*i + 48. Is 52 a factor of d(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38946534 greater than -38946535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1004*i. Let u(w) = 141*w. Give u(t(x)).\nAnswer: 141564*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12526329 + 5*o**2 + 12526329.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4317, 7645, 10903, 14055, 17065?\n\"Answer: -6*s**3 + s**2 + 3367*s + 955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 + -59. Suppose -a = 0, -w = -6*a + 3*a - 6. What is the third derivative of -2 - z**w + b*z**2 - z**2 + 2 wrt z?\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = 7 - 19 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 5\/2*p**2 + 0*p**3 - 4\/15*p**6 + 0*p**5 + 0 - 3*p + 0*p**4. Find the first derivative of b(u) wrt u.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*p + 6, 5*p - 2 = r - 5. Let q be 3416828*(-1)\/3*r. Let t = q - -1846828. Round t to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + 3 + 5 + (35 - 34).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8*d**2. Let c(n) = -274 + 274 - 2*n. Determine c(j(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392338 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a + 60. Calculate j(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = 0, -2*u - 9255 = 2*n + 3*u. What is n rounded to the nearest one hundred?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*i + 96*i - 8. Suppose 4*n + 316 = 4*a, -n + 7 = i. Suppose -19*h = -26*h + a. Solve 4*s + h = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014746 rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Let b(j) be the second derivative of -j**3\/6 - 4*j**2 - 468*j + 1. What is b(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579622331 less than -263.27?\nAnswer: -579622594.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 1996*u + 2000.\nAnswer: -4*(u - 1)*(u + 500)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2*d**2 - d)*(-3*d + d + 0*d) + (-3*d - d**2 + 3*d)*(0*d - 2*d + 0*d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, -2, 8 in increasing order.\nAnswer: -7, -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/1*10751\/86008\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1453*s. Let k(o) = o**2 - 30. Let a(t) = -t**2 + 40. Let v(f) = 3*a(f) + 4*k(f). What is n(v(m))?\nAnswer: 1453*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 12*u**2 - 1 - 7.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkg when three letters picked without replacement from kaakkaagkaakgkkkkkk.\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0049183 times 5.1?\nAnswer: -5.12508333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.066922ml to litres.\nAnswer: 0.000066922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8\/317 - 530\/4121. What is the smallest value in -2.6, 2\/9, 1\/2, c, 0.4?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2, 96, 5, -51?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 b, and 1 o when four letters picked without replacement from gbfgbobggffgf.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*sqrt(1216) + sqrt(1216)*1 + -5 + sqrt(475)*1 + -4 + -2*sqrt(475))**2 + -3.\nAnswer: 378*sqrt(19) + 8455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/147)\/(3\/3) - (-23690)\/483\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 5 - 474*a + 5 - 2 + 1356*a as b + y*a and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.355? (a) 0.5 (b) 5 (c) -4443\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 393 or -1.29949?\nAnswer: 393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1 - (0 + 3) - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352805561.\nAnswer: 29, 12165709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24999*p*x**5 - 4*p*x**2 + 5*p*x - 3*x**2 + 123 wrt x.\nAnswer: 1499940*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3670 divided by -3670?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 3 (b) 1\/3 (c) -24 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w = 4460 - 5372 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7))**(16\/5)*i*i**(-1\/14)\/i*i**(5\/2) assuming i is positive.\nAnswer: i**(117\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.7 + -16. Which is the fourth biggest value? (a) o (b) 2\/11 (c) 6 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x - 1. What is u(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 3)*(-2*h + 19 - 19)*(3526*h - 54*h**2 - 3526*h) in the form z*h**3 + w + k*h**2 + g*h and give z.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -1822, 4 in decreasing order.\nAnswer: 4, 3, 2, -1822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 69 + 14 = 0. Let w(u) be the first derivative of 0*u**2 + 0*u**4 + 7 + 8\/5*u**c - 3*u + 0*u**3. Differentiate w(i) wrt i.\nAnswer: 32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 5:33 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + 2*b + 1. Let r be m(-1). Let s = -1648 + 1765. Suppose 2*p = n - 54, -r*n - 8*p + s = -3*p. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(44)\/sqrt(4))*-3 + sqrt(11) + 5*1*sqrt(11) - (sqrt(44)\/sqrt(4)*6 + (sqrt(11) - 1*sqrt(275)))) + 5*sqrt(22)\/(2*sqrt(2)*6)*6 + -2.\nAnswer: -2 + 13*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 6*x**2 + 7*x + 5. Let j be a(-7). Suppose 4*y + 4 = j*y. Factor 6*o**3 - 3*o**y - 3*o**3 + 6*o**4.\nAnswer: 3*o**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 161844?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - (-62)\/(-2))*6\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 1. Let z be (-4)\/(-6)*((-918)\/126)\/17. Which is the third biggest value? (a) -4 (b) z (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*c = 176, 0*t - 2*c - 133 = -3*t. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 3*x, -14*m - 4*x + 5*x + 914 = -0*x + 929 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/10)\/(9\/30). Let w(d) be the first derivative of -5*d**2 - d - 37. Is 21 a factor of w(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 2\/9, -104, 1 in ascending order.\nAnswer: -104, 2\/9, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22830*q**3*z**3 - 67*q**3 + 201*q*z**2 - 2*z**3 wrt z.\nAnswer: 136980*q**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 6 = 4*t, -5*t + 0*t = 5*s + 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -12*f**3 - 3*f**2 - f + 1. Let b(l) = l**3 - l**2. Let y(q) = -a(q) + 3*b(q). Is 6 a factor of y(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 55717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of (924\/(-60) + 15)\/(1\/(-4680))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1353\/2 - -663. Which is the third biggest value? (a) 1 (b) i (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2. Let a(f) = -4*f + 4*f + 5 - f. Let r be a(6). Is v at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d - 1. Let g(r) be the third derivative of -r**3\/6 + 954*r**2. Let s be (-2 + 26\/10)*5. Calculate s*g(p) - h(p).\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 8, -5*a - 28 = -5*m - 773. What is the greatest common factor of 336 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35730, 71461, 107192, 142923, 178654?\n\"Answer: 35731*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*513 - 42\/56. Let b = -2581 + p. Find the common denominator of b and (2\/(-12))\/(5\/605).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -58*v + 1475. Let z be n(25). Calculate the highest common factor of z and 3275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 7. Let b be a(-8). Let k be (-32)\/b + -1 + 1. Suppose 2*p - 7 - 3 = 0, -3*m + k = p. Calculate the highest common factor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**9\/1008 - q**8\/140 + q**7\/70 - 5*q**3\/6 + 9*q**2. Let g(b) be the first derivative of a(b). Find x such that g(x) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 1 - 1)*(15*c + 2*c + 5*c) + 46 - 16 - c - 72)*(4*c - c - 4*c) to b + a*c**2 + z*c and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, -4, 958, -2, 3 in ascending order.\nAnswer: -10, -4, -3, -2, 3, 958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r = -2*z + 22, 31 = 2*r + 5*z. Let h be r\/2*16\/6. What is the common denominator of (2\/h)\/((-6)\/208) and -29\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*z - 4*z - 5, 3*h + 5*z = -17. Suppose 20 = -5*u - g, 0 = 3*u - 4*g - 7 - 4. Put 2, u, h in decreasing order.\nAnswer: 2, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - m - 34, 0*q - 3*m = 5*q + 42 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2156 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1690 - -1691.1. Let q be 0*((-1)\/2 - 0). Which is the second smallest value? (a) t (b) q (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 415263 + 1210463. What is i rounded to the nearest 1000?\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5436)\/12684*((-28)\/(-12))\/(-7).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94175707?\nAnswer: 127, 741541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 31*m**3 + 4*m**2 - 3*m. Let p be g(1). Let f be 2*2 - (0 + 0). Suppose 0*u + p = f*u. What is the highest common divisor of u and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/27262 and -67\/1312.\nAnswer: 17883872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*o**3 - 57940*o**2 + 150445*o + 69450.\nAnswer: 5*(o - 2315)*(o - 3)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/4*(-10)\/240*-24?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = m - 0. Is -1\/5 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, y: 12}. Give prob of sequence tyyy.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 301550*a**3*h**4 + 33*a**3*h**2 - 9*a*h**4 - 4816*h**2 wrt h.\nAnswer: 7237200*a**3*h - 216*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 9*l**2 + 14*l + 8. Let t be x(-11). What is the greatest common divisor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5256\/(-2044))\/((1*3)\/((-28)\/(-2)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 12:09 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*u + 250 = 0, 0 = 2*f + 3*f + 2*u - 565. Suppose -22*b + 1496 = -3*b - 36*b. Let p = f + b. Calculate the highest common divisor of 216 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.371 - 0.029. What is the second biggest value in -1, 2, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18278 and 7956554?\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*i + 7 = -0, -3*i = 4*r - 6. Let l be 30 - 22 - 60\/8. Which is the nearest to l? (a) r (b) 0 (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4388 = 21*h + 18*h - 1931 for h.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011364 rounded to 7 dps?\nAnswer: -0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3895991 is divided by 1108.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-21)*14\/30. Let w be (-154)\/3 + 1 + (-19)\/(-57). Let m be 120\/w + (-8)\/(-2) + -1. Sort m, -2, d in descending order.\nAnswer: m, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50410788 divided by 1578.\nAnswer: 31946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -203625534.\nAnswer: -203625537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r = -2*b + 48, 2*b - 5*r - 75 = 0. Let h = -28 + b. Does 12 divide (6 - -140)*h\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 47?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**2. Let x(d) = -d**2 + 1. Let t(h) = 12*h**2 - 14. Let o(q) = 2*q - 30. Let j be o(-6). Let r(l) = j*x(l) - 3*t(l). Determine w(r(z)).\nAnswer: -108*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = -9*x - 60 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 - -0.46. Let j = -7.4 - -24. Let x = j - 17. What is the third smallest value in 0.5, m, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-399)\/357)*(-2)\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*n - 178. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/45)*b**(3\/10)*b*(b\/b**(-2\/3))**(-4\/15) assuming b is positive.\nAnswer: b**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -17*m**3 - 9*m**2 + 3*m + 2. Let i be p(8). Let o = i + 39254. Round o to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1918, 15, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*t - 220*t = -472*t - 609 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -8. Let t(j) = -13*j**2 + 8*j - 16. Let x(r) = 3*r**2 - 2*r + 4. Give d*x(y) + 2*t(y).\nAnswer: y**2 - 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12493141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18751 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -8*q. Let x(c) = -19*c + 0 + 16*c + 0. Determine o(x(b)).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*s + 1, -29 = -3*i - 4*s. Suppose 2*g + 4 = 2*m, -10 = -i*m + 5. Solve 5*a - 14 = -3*z, -g*z = -0 + 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 884240 to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 94*b + 2052. Give p(31).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2*r - 32, -3*c + 0*r = -4*r + 44. Let h = c + 30. Let x be h\/40 - 9\/36. What is the third smallest value in x, 2, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 32 - 8. Let s = j - 8. Suppose -2*v + 1131 = u, s*u = -u - 4*v + 5667. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 * 0.0547.\nAnswer: 0.08205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-141 - (-80 + -4))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160 + -150. Let r(o) = -o**3 + 11*o**2 + 0*o**2 - 2*o - 8*o. Let j be r(g). Which is greater: j or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -231103?\nAnswer: -231103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 - 6*o**2 - 3*o - 7. Let n be l(-3). Suppose 4 = -r, -t + 0*r = -n*r - 416. Is t a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**4 - 143*n**3 - 119*n?\nAnswer: 12*n**2 - 858*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 48 + 24 = -3*i, 55 = 5*n + 5*i. Suppose -x + 8 = -2*j, -n = -x + 3*j - 4. Let s = -1 - -1. Sort s, -3, x in descending order.\nAnswer: x, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 + -16 - ((-3 - -2) + -1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/32? (a) 0.1 (b) -1\/1325 (c) -3 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 6 + -27 - (-35 + 12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 2*r + 2*n - 34, 2*r + 5*n - 1 = 0. Let q be (-102)\/(-48) + (2 - 17\/r). Calculate the remainder when 69 is divided by 7 + q + 3 + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -105186?\nAnswer: -105186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2612?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 570819, 1141709, 1712609, 2283525, 2854463?\nAnswer: 3425429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -m + 5*p + 3, -29 = 3*m + p. List the prime factors of (m\/2)\/(15\/(-320)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 9 and 1014.57521.\nAnswer: 1023.57521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(1 - -1))\/(-1). Let v = 1 + h. Suppose -s + 6 = v. Calculate the remainder when 12 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1150 + 1149.9. What is the second biggest value in 2, j, 0.2, 0.41?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32816.65 to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 4\/5 (c) -1\/2 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(3) + sqrt(108) - sqrt(36)\/(1*sqrt(1452)) - ((2*sqrt(21))\/sqrt(7) - sqrt(3) - (2*sqrt(27))\/sqrt(9) - sqrt(33)\/(1*sqrt(11))*-6))**2.\nAnswer: 8748\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 8 = 4*g, g - 3*a - 6 = 2*g. Suppose g = -j + 7 + 3. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -246 + 784. Let z = -499 + f. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4044 + -4044. What is the closest to 0.1 in 31, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -55. Let b be 2\/1 + i + 3. Suppose -4*r = -b*r - 5*h - 316, -h = 3*r - 491. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 11:35 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*n**2 + 3 - 168*n**2 + 81*n**2 - 3.\nAnswer: -359*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-39)\/(-6) - 2)*(-2)\/(-3). Let o be 3\/(7\/(14\/r)). Let i be ((-1)\/o)\/(13\/(-156)). Solve 4*c = -2*a + i, 4 - 1 = c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/45)\/(2\/(-57))*6. Calculate the remainder when 170 is divided by ((-5)\/5)\/((-1)\/k).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -283710923 and -283710921 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(320) + -1)**2 + 2 + sqrt(35)\/sqrt(7)*-6.\nAnswer: -22*sqrt(5) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from lzqqqllqlpl.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**2 + 4*x**2 - x**2 + 2*x)*(1 + x - 1) as d*x**2 + o*x + i*x**3 + k and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + -4 + (1 - 2). Let v be (6 - 5)*(g + 0). Suppose b - 5 = v, 0*b + 6 = -i + 4*b. What is the greatest common divisor of 42 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 9 + -8 + 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/30 + (-6)\/45)*-635. What is the remainder when 1\/(-2) + p\/6 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v - 11. Let l be n(3). Let i(z) be the second derivative of 1\/2*z**3 + 0 - 2*z - 1\/4*z**l + 0*z**2. What is the second derivative of i(p) wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 17*z**2 + 0 - 4 - 11*z - 3 - 13*z**2. What is the remainder when 42 is divided by f(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4864105.\nAnswer: 5, 149, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: a0adb (base 14) to base 12\nAnswer: 167689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t**2 + 4*t - 2. Give f(4).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.56 - -0.36. Let w be 2\/(-7) - 3\/(-378)*57. Which is bigger: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.65 - 52.79?\nAnswer: -65.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 3*q + 1. What is the units digit of v(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -8. Suppose 0 = -4*q + 5*u + 169, d*q - 7*u + 3*u = 128. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 6440 (b) 5\/6 (c) 15\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-7) - 52\/91?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 6308.27145.\nAnswer: 6307.77145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 14*z. Let h(k) = 3704*k**2 + 1. What is g(h(f))?\nAnswer: 51856*f**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1531*f**4 + 770*f**4 + 3*f**2 + 736*f**4 + (-4*f**2 + 3*f**2 - 3*f**2)*(2*f**2 + f**2 - f**2).\nAnswer: -33*f**4 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 845582\/(-4063) + 190 - (30\/34 + -1)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5777 is divided by 1189.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 33 = 1. Let j be (1\/a)\/(12\/(-24)). Let d be j*((-4)\/(-8) + 1\/(-2)). Solve -2*z - 3 - 1 = d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -636 + 641. Suppose 2*l = 5*k - 3614 - 1449, 3*k - n*l - 3034 = 0. List the prime factors of k.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 8736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -46720 and -342339357?\nAnswer: 342292637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -20*m. Let f(n) be the first derivative of -2*n**2 - 4. Calculate q(f(v)).\nAnswer: 80*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 916*u = 911*u + 90. Calculate the remainder when 255 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - 4*k + 4*k)*(-10*k - k - 4*k) + 4*k**2 - 5*k**2 + 0*k**2 to d + n*k + o*k**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13352 and 35049?\nAnswer: 280392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 1:35 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 1:36 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70.94 + 70. Let k = 3.14 + a. Let r = -2.1999992 + k. What is r rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20524 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 230 or 1901433?\nAnswer: 230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 3\/8 (c) 0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 16*g. Let k(m) = -6*m + 6. Let j(l) = -17*l + 16. Let a(v) = 3*j(v) - 8*k(v). Give u(a(x)).\nAnswer: -48*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7846 divided by 38?\nAnswer: 3923\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20c (base 14) to base 9\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2005145 (base 8) to base 2.\nAnswer: -10000000101001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -146, 113\/22, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -25275015.\nAnswer: -5\/5055003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -43*r + 27. Let n be h(3). Let q = n + 107. Suppose -z + 141 = 3*u, -z + 50 = u + q. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 18 = -2*u, 0 = -u + k + k + 11. Calculate the remainder when 13 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - 3*i + 2*i + (-3*i - 3*i + 4*i)*(6 - 1 - 3) - 2*i + i + 0*i - 2*i - 1 + 1)*(-15 - 8 + 15)*(i - 3*i + i) to x*i + l + w*i**2 and give w.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3*(2 - 1812\/936)*(-7)\/((-350)\/(-180))\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204064 (base 9) to base 5.\nAnswer: -12333242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.41744338 rounded to one decimal place?\nAnswer: 24.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 179792164 to the power of 1\/3, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14146, -10187, -6240, -2311, 1594?\n\"Answer: -y**3 + 3966*y - 18111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**3\/3 - 5*g**2\/2 - 227*g. Determine s(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (10 - 3) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10900)\/9810 + 646\/576\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 194568 and 201?\nAnswer: 194568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 16*x**2 + 5*x + 1. Let o be r(-3). Let y = o + -126. Which is the second smallest value? (a) 2 (b) 5 (c) -2\/15 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729571517?\nAnswer: 729571517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 2591.1022?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22787*f**3 + 10583*f**3 + 12186*f**3.\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus -2.44785?\nAnswer: 2.46785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 320821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-64 + 79)\/(3\/2). Suppose 11*c = a*c + 169. What is the highest common factor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-164)\/(-56) - 3 - (-8)\/14. What is z in -1\/4*z**3 - 1\/4*z + y*z**2 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*1*sqrt(243))**2 - (-2*(sqrt(243) + 0) + sqrt(243))**2) + -3*(-1*sqrt(243) + sqrt(243) + -5) + -4.\nAnswer: -1447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1401, 3, -223 in decreasing order.\nAnswer: 3, -223, -1401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 124*i**2 + 24*i + 11. What is u(-2)?\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -12352?\nAnswer: -988.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 229036826 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*f - 20, -2*f + 16 = f + 4*z. Suppose -f*c = -18 + 2. Suppose -c = 2*j - 0. Let d(s) = 4*s**2 + 2*s - 1. Give d(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 16*x - 20. Let q be h(-5). Let k be (-1)\/3 - (-113)\/(-3). Let o = 2 - k. Calculate the highest common divisor of q and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c. Let j(r) = r - 14. Let i be j(12). Let g(s) = 2*s - 1. Determine i*g(a) + 5*z(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.337 + 0.267. What is the fourth biggest value in l, -0.03, -5, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.54 and -0.1.\nAnswer: 0.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31800285?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -236874628.1 to the nearest 1000000.\nAnswer: -237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, g: 2, a: 2, d: 1, w: 1, l: 1}. Give prob of picking 1 a, 1 g, and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(9\/((-18)\/(-4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/5 + 8*c**2\/5 - 6*c\/5 = 0. Calculate c.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 14. Let v(d) = 4*d**2 + 57. Give 26*j(p) + 6*v(p).\nAnswer: -2*p**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 8*c + 3*c = 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + q + 8. Suppose 0 = 8*m - q*m - 68. Calculate the remainder when 33 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 360548?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16b6e + 1ed9?\nAnswer: -14b85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/179)\/((-6)\/(-12)). Let g = a + 93\/7697. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1680*q + 3. Let l(a) = -2*a**2. Determine l(o(z)).\nAnswer: -5644800*z**2 + 20160*z - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 12*w**2 + w - 11. Let n be v(12). Calculate the highest common factor of 11 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*4*sqrt(171)*-3*4)**2*-5 + 2.\nAnswer: -1772927998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.8567?\nAnswer: -1.7134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1027.119376034 - -0.7.\nAnswer: 1027.819376034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 16*a**2 - 5*a - 2. Suppose -2*b - 3*b = -2*y - 19, 4*b - 8 = -2*y. List the prime factors of g(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/282 and 151\/780.\nAnswer: 36660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.20216 centuries to months.\nAnswer: 75842.592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3270 and 1962?\nAnswer: 9810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -25. Calculate the remainder when 18 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 4*l**2 + 2*l - 6. Let a be y(-5). Let r = a - 17. Let z be -4*(-6)\/r*-1. Solve -z = t + 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081.\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*v + 2929 = 8950 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7390*t + 27. Let i(l) = 7390*l + 26. Let a(y) = -3*i(y) + 4*s(y). Let u be a(-7). What is u rounded to the nearest one thousand?\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m + 189 = 0. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28345033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pop. Give prob of sequence pop.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2632 and 89159.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -2\/3 (c) 0.08 (d) 5 (e) -519 (f) 2\/5 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1770 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 + 0 - 5)*(4*v**2 - v**2 - 5*v**2) as s + r*v + y*v**2 and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p - 1 + p**2 - 6*p + 3*p. Let n be j(4). Let m(x) = x**2 - 6*x - 3. Let b be m(n). What is the greatest common factor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 413*b - 3. Let k(j) = 2*j. What is k(w(f))?\nAnswer: 826*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-9))\/((-1)\/30). Solve 5*d + w = -4*w - k, -32 = 5*d + 3*w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*k**4*w + 166025*k**3*w**2 - 2*k**2*w**2 + 18*k**2 - 50915*k - w**2 wrt k.\nAnswer: -552*k*w + 996150*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**5\/90 + 2*c**4\/27 + 5*c**3\/27 - c - 19. Factor q(g).\nAnswer: -2*g*(g - 5)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 - 106. Let v = 51.0037 + u. What is v rounded to four decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k. Let i(y) = 43*y + 17*y - 59*y. Calculate b(i(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*v - 61*v + 36*v)*(-3 + 3 + 1)*(44 - 18 + 11)*(-3 - 2 + 4 + 2 - 2 - 2 + (-3 + 3 + 2)*(-3 - 2 + 3) - 5 - 1 + 4 - 2 - 5 + 6).\nAnswer: 26640*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 11 = x, -3*x - 26 = -4*x + 5*o. Let p be ((-357)\/(-34))\/(x\/(-10)). Let k be 0 + 2 - p\/7. What is the highest common factor of 68 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 0.2, -0.11, 251\/2, 0.1?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 4*y - 7*y)*(2 + 1 - 1)*(y + 1 - 1).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 8 = 5*o + 3, -12 = 2*k + o. Let j be k\/(1 + 2\/(-1)). Find the first derivative of -3*u**3 - 1 - 3 + j wrt u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 2162336224?\nAnswer: -2162336216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38379 - -115136\/3. What is the biggest value in t, 3, -50, 2\/7, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 4*u = z - 29, -3*z + 5*u - 20 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-41))**(-12\/7)\/(k**25)**20 assuming k is positive.\nAnswer: k**(-3008\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.79977 - 3.8. What is t rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 293 + -121. Let h = x - 146. What is the remainder when 51 is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b - 629. Let t(u) = -45*u - 5740. Give 55*a(k) - 6*t(k).\nAnswer: -5*k - 155","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59548*n - 1 + 1 + 59546*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004293 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**4 - 189597*m**3 - 9852795*m**2 - 117638487*m + 276204978 = 0.\nAnswer: -63147, -27, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 2695.8155261005?\nAnswer: 2694.8155261005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*l + 0*l + 22 = 0, 3*s + 2*l = 48. Suppose -2*j + 361*v = 364*v - 241, -j + 140 = -5*v. What is the remainder when j is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*s + 2501, -u - 14*s = -18*s + 617. Which is the biggest value? (a) u (b) 4 (c) -1\/7 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(4\/7)*m\/m**(-5))**13*((m**(2\/11))**(-2\/9))**29 assuming m is positive.\nAnswer: m**(57103\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2344 - -35013?\nAnswer: 32225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554890 is divided by 11234?\nAnswer: 4424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70012158, 70012161, 70012164?\nAnswer: 70012167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39438062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.3, -1\/58, -1\/2?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-1 + 0 + 2 - 3 + 3 + 1 + 4 - 2 + 1 + (-3 + 2 + 0)*(-2 + 3 + 1))*(-3*a - 5*a + 4*a).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4\/13 + 68*d**3\/13 + 392*d**2\/13 - 68*d\/13 - 30 = 0.\nAnswer: -5, -1, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) 28 (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -387*h + 346. Let i(u) = 193*u - 172. Let a(g) = 9*i(g) + 4*l(g). What is the first derivative of a(w) wrt w?\nAnswer: 189","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**6\/24 - g**5\/4 + 10*g**3\/3 - 6*g**2. Let d(m) = 0. Calculate m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74192 (base 10) in base 7?\nAnswer: -426206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2949973 (b) -2\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020329 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 4, -2\/5, -5, -1\/3, 1\/674, 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 155\/10 + 1\/(-2). Let d = 25 - z. What is the remainder when 28 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -23*f**4\/12 + 2*f**3 + 20*f**2. Let q be r(3). Let t = 291 + q. Does 30 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 576\/(-216)*2*1\/8\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335770*i**2 + 283400*i**2 + 766189*i**2 + 663199*i**2.\nAnswer: 1377018*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493405221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 79, 84, 89?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 129193981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/sqrt(150))\/sqrt(3))**2.\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d - 2*d + 5*d)*((-3 + 0 + 5)*(3 + 1 - 1) + 3 - 5 - 1)*(38 - 16 - 15) in the form z + j*d and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4*x - 81, 0*g + 2*x = g - 79. What is the highest common factor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 3*d**2 + 6*d + 2. Let p(r) = r + 4*r**2 - 2*r - 4*r - 3 - r**3 - 2*r. Let v(z) = -7*k(z) - 6*p(z). Factor v(h).\nAnswer: -(h - 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25396 and 24.\nAnswer: 152376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -120\/581, 138 in descending order.\nAnswer: 138, -120\/581, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/5 + 0*o**3 + 1\/5*o**4 + 0*o - 2\/5*o**2 = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333*x - 13 = 320*x. Let t be 2052\/3240 + (x - (-5)\/(-6)). Which is the second smallest value? (a) -4\/5 (b) t (c) 5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 25 - 15 - 6 - 15 + 212*j - 53*j. What is the units digit of s(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55522170 by 1870.\nAnswer: 29691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9597244 is divided by 96?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1574214706.\nAnswer: 2, 26839, 29327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + 4 + -9 + (8 - -4) + -4 + 2?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 683. Let v(x) = 1935. Let f(d) = -6*v(d) + 17*y(d). Let k(a) = -2*a**2 + 3*a + 1. Calculate -2*f(b) + k(b).\nAnswer: -2*b**2 + 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/390)\/(1\/6*-3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 35. Let n(d) = j*d**2 - 58*d**3 - 5*d**2 + 60*d**3. Let o(h) = 6*h**3 - 5*h**3 + 4*h**3 + 5*h**2. Determine -14*n(a) + 6*o(a).\nAnswer: 2*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -255 + 260 + 1 + -1 + (1 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/32*8\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468421*l**2 + 468407*l**2 - 441*l + 441*l.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/16)\/(665\/(-110) + 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-9)\/(-14)*((-60)\/(-36) + 18\/27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13082771 by -4.\nAnswer: 13082771\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 2*i**7\/147 - 8*i**6\/105 + 4*i**5\/35 + 2*i**4\/21 - 10*i**3\/21 + 4*i**2\/7 - 22*i. Factor p(o).\nAnswer: 4*(o - 2)*(o - 1)**3*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3760*j**2. Let o(n) = -2*n. Determine i(o(f)).\nAnswer: -15040*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 31525006 (base 7) to base 4\nAnswer: 22032000310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414834.\nAnswer: 2, 3, 7, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*i - 0*j, 0 = -5*i - 3*j. Suppose 42 = b + 2*f + 13, 5*b - 2*f - 121 = i. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5\/4, -1\/20, -0.2, -7, 5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 1, -s + 6*s - 3*i - 3 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 190, 270, 392, 562, 786, 1070?\nAnswer: 1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 53612?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - 3*u - 3. Let v(t) = -27*t**2 - 39*t - 19. Let b(n) = 40*n**2 + 58*n + 30. Let k(x) = -5*b(x) - 7*v(x). Calculate -6*k(w) + 34*s(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8151*m**2 - 8502*m**2 + 16628*m**2.\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 8*t. Let o(r) be the second derivative of -r - 1\/6*r**3 + 1\/20*r**5 + t + 0*r**4 + 0*r**2. What is the second derivative of o(a) wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*k - 142, 0 = -3*u + 58*k - 54*k - 82. Does 20 divide (-12)\/u - (-10194)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 642983428393+-1707\nAnswer: 642983426686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 11457*g + 137462. Calculate o(-12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 4*b**2 + 22*b - 24.\nAnswer: -2*(b - 4)*(b - 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3299 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48010 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -663 by -221.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 230617 + 649373 = 0. Let h be -1 + 0 + (-18)\/(-2). Let y be (-3)\/(-12) - m\/h. Round y to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 + 10*g + 7. Let n be r(-6). Let u = 148 - n. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6*b. Let d(x) = x**3 - 6*x**2 - 6*x - 2. Let l be d(7). Let o(f) = 2*f**2 + l - 5. Calculate o(u(m)).\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0.33904608\nAnswer: -1.33904608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 26*n - 7*n + 1, 5*n - 15*x = -20*x + 55 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6 = -0*n - 2*t, 0 = -2*n - t + 13. Suppose 0*h - 2*h = -3*x + 5, 0 = -4*h - n*x + 20. Let w = 3.93 + -0.93. Put h, w, -0.1 in ascending order.\nAnswer: -0.1, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -867 + 912. Solve -46*z - 1 = -t*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7105042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 2*z**2 - 6*z + 38. Let w(n) = n**3 + 2*n**2 - 5*n + 38. Give 5*g(a) - 6*w(a).\nAnswer: -a**3 - 2*a**2 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 6*z**2 + 5*z. Let x be 0 + 2 - (-2 - 1). Give h(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85144, -340466, -765964, -1361638, -2127488, -3063514?\nAnswer: -4169716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2737\/19 + -144. Is 1 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/54)\/((-184)\/(-736)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 98 = -5*q, -531*n = -527*n - 164 + 148 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + 18 - (-6791 + -64).\nAnswer: 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 18*c**4\/11 - 15366*c**3\/11 + 3438278*c**2\/11 - 232321434*c\/11 + 228898504\/11 = 0.\nAnswer: 1, 457\/3, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -539 (base 11) to base 7\nAnswer: -1613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15015806 is divided by 98?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2)\/3*6. Suppose 0 = -5*q, -3*z - l*q + 10 + 20 = 0. Suppose -7*n + 5*n = -z. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1048733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3507044 - 25?\nAnswer: -3507071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**0\/s*s)\/s)\/s*s)**(2\/3)\/(s**(4\/17))**(-1\/6) assuming s is positive.\nAnswer: s**(2\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 138\/13*i**2 - 32\/13*i - 157 - 34\/39*i**3. Let d(h) = 0. Calculate h.\nAnswer: 2\/17, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719 = -i + 715, 5*x - 1 = -i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7265 divide 759869491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1386443809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times 1494511\nAnswer: -119560.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 90590682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - (40 + -42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.1 - -14.3. Let s = 0.05 + -5.05. Which is the second smallest value? (a) t (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2181)\/(-23264)*(-64)\/(-822).\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 0 - (-38 + (-47 - -34)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**6\/30 + 28*l**5\/5 - 265*l**4\/6 - 232*l**3 - 142*l**2 + 11*l. Determine n, given that h(n) = 0.\nAnswer: -87, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -51?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4941 and 29762.\nAnswer: 24821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, g: 9}. What is prob of picking 2 a and 2 g?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373245696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from {a: 5, y: 5}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 481661.8 days in nanoseconds?\nAnswer: 41615579520000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/6)\/((-12)\/16). Let m be (n\/10)\/(-1 - 12\/(-15)). Which is smaller: 6\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4301 (base 6) to base 3\nAnswer: 1100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 6*l**2 + 60*l + 24. Calculate w(-7).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5070, 0.3 in descending order.\nAnswer: 6, 0.3, -5070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**5\/2 + 10*p**4\/3 - 8*p**3 + 8*p**2 - 8*p\/3 = 0.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164274 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - 0.1. Which is the closest to 1\/2? (a) 2\/13 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -10 + 10 + 3 + 22 + -11?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-3*i + 4*i + 0*i) + i + 14*i - 18*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 9. Is 25 a factor of ((-58)\/(-3))\/(b\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20449 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 11*p**2 + 6. Let b be s(11). Let y = 50 + -2. Calculate the greatest common divisor of y and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 226 - 4 = 0. What is the remainder when 516 is divided by f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 94*j**2 + 0*j + j + 5*j - 3*j. Let u be x(-1). Suppose f - 3*m = 41, -2*f + 3*m = -0*m - u. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h. Let t(l) be the second derivative of -l**3\/3 + l. Let z(o) = 6*n(o) + 14*t(o). Let k(p) = 4*p**2. What is z(k(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*y - 1922, 12*y = 4*o + 10*y - 3850. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10794?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -232?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 83237 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 52. Let f be c(27). Let m = 41 - f. What is the first derivative of m*h + 26 + 12*h - 43 wrt h?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5122 + 0*o**2 + 10249 + 42*o**2 - 5127.\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1033161 and 387.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from woouuuyuuooouyuuoo. What is prob of picking 4 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + (-40 - ((-31 - 29) + -23)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*y + 28, -4*b - 11 = -3*b + 5*y. Let l(n) = n**2 + 3*n - 1. Let f(h) = -1. Let i(j) = -3*f(j) + l(j). List the prime factors of i(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhvhv. Give prob of sequence hh.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 49472*c. Let l(v) = v**2. What is l(i(z))?\nAnswer: 2447478784*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, w: 1, c: 1, y: 2, g: 1}. Give prob of sequence fw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-10) + 42\/(-140)*-56. Suppose 75 = 4*u + b, -10*u - 45 = -12*u - 3*b. Solve y*k = u*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*d**3 - 2*d**2*g - 312*d*g - 44071*g wrt d?\nAnswer: 21*d**2 - 4*d*g - 312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100100101011000 + 100?\nAnswer: -1101100100101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 7*v + 18 = 3*t, 2 = v + t. Let u = -2.5 - -7.5. Let h = 508\/5 + -102. Which is the third biggest value? (a) u (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-351 - 88*y**2 + 351)*(y + 0*y + 0*y - 3 + 3 - 2*y + (-1 + 1 + 1)*(4*y - 4*y + y) - 2*y + 5*y - 5*y).\nAnswer: 176*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -57, -40, -5, 54, 143, 268, 435?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -466, -454, -444, -436, -430?\n\"Answer: -s**2 + 15*s - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57535391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 819*g**2 + 10*g + 15. Let x be m(-6). Is -1 + (-10)\/(-14) - x\/(-63) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 - 255 = -12*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -11. What is the least common multiple of i and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8788 is divided by 803.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 h when three letters picked without replacement from {o: 3, h: 2, n: 3, v: 5}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.7 (b) 0.4 (c) 11 (d) -15\/2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**(-20)\/k*k)\/k*k*k*k*k\/(k\/(k\/k**(7\/2)*k)))\/((k*k*k**(-23\/4))\/k**(-14)) assuming k is positive.\nAnswer: k**(-115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 951\/265369?\nAnswer: 951\/265369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 11 = -5*w + 17, 40*a + 29*a = 4*w + 913 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and 10219.\nAnswer: 112409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*z - 1. Suppose -5*g - 2*f + 25 = f, -g = -f - 5. Suppose g*r - z*a - 50 = -6*a, 4*r = -5*a + 40. What is the greatest common factor of 80 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 1 = -5*w - d, 5899*d = -2*w + 5894*d + 31 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26659*h**3 + 51636*h.\nAnswer: -159954*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b + 5*b + 0*b + (-111 - 107 - 128 + 388)*(-17*b + 13*b - 17*b).\nAnswer: -883*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -18*c - 33*c - 200 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - 1. Let m(h) = -59*h**3 + 106*h**2 + 6. Let c = -150 - -149. Let j(z) = c*m(z) - 6*l(z). What is the third derivative of j(n) wrt n?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2893268270 to the nearest integer?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - 1. Let w = f - -7.5. Which is the third smallest value? (a) -1\/5 (b) w (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**5 + 9258*l**4 - 43*l**2 + 34026633*l?\nAnswer: 60*l**3 + 111096*l**2 - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**3\/3 - 11*l**2\/2 + 24*l + 13. What is the tens digit of g(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 + 186. Let z = p + -114.6. Let u = -60 + 60.5. Which is the third smallest value? (a) z (b) 1\/10 (c) 14 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 5 + 0 - 6)*(5 - 5*w**2 - 5).\nAnswer: 10*w**3 + 55*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 17\/7 - 4\/(4 - 2)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 136*g + 9 = 133*g, -r - 11 = 3*g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 4707452770777\nAnswer: 4707452770781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*q**3 - 20*q**3 - 15*q**3)*(0 + 0 + q**2) - 5*q**5 + 6*q**5 - 2*q**5.\nAnswer: -65*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.48 - -52.12. Let u = d - 53.5. What is the nearest to u in 0, -0.2, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1752947002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/15))**(-36)*(s\/s**(-2\/15))\/s**19 assuming s is positive.\nAnswer: s**(-196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and 0.29094.\nAnswer: 0.0378222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -109*v + 289. Which is the nearest to -2? (a) 0 (b) 2\/7 (c) v (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1413*i - 6924 = 10032 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 4*o - 18, -s + 30 = 4*s - 5*o. Suppose 5*n - b = 36, s*b = -2*n + 2*b + 10. What is the lowest common multiple of n and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q + 311477 = -1280619. What is the hundreds digit of -1 - ((-4)\/10 + q\/110)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-15) - 32\/20. Let k be 3 - (388\/148 - c). Let u = k - -4\/185. Is u less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n**2 - 6*n**2 - 4*n**4 + (-11*n + 2*n**2 + 11*n)*(3*n**2 - 5*n**2 - 7*n**2) to o*n + s*n**4 + t + f*n**2 + j*n**3 and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**6\/10 - a**4\/6 + 2*a + 3. Let c(j) be the first derivative of y(j). What is the third derivative of c(z) wrt z?\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 62*n + 26. Let k be f(-26). Let g = k + 238. Solve 2*a = -2*a - g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 604 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -457998877 + 40\nAnswer: -457998837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280563448, -561126897, -841690344, -1122253789?\nAnswer: -1402817232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 425582712 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 42. Let x be d\/(-18) + (-4)\/18. Calculate the lowest common multiple of 3\/(-3)*(-1 - x) and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/6 - 62*x\/3 - 650.\nAnswer: (x - 150)*(x + 26)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.153 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28495.1 rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -436 greater than -2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**4\/3 + 2*o**3 - 4*o**2 + 9*o. Factor x(c).\nAnswer: -4*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/16*(1 - -15). Factor -38*h**2 + 84*h**2 - 22*h**2 - 3*h**3 - u*h.\nAnswer: -3*h*(h - 6)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -156 + 271. Round k to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1235 and 117?\nAnswer: 11115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.039571 and 1?\nAnswer: -0.039571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156 + 155. Let p(v) = -1891*v + 15. Is p(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15582483 to the power of 1\/2, to the nearest integer?\nAnswer: 3947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 divided by 9?\nAnswer: 664\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i + 23 + 19 = 0. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-280)*(-1)\/3*4\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + p**2 + p - 2. Let s be m(2). Suppose -s = 2*y - 78. Does 12 divide (2 - 1)*11\/(y\/108)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31100 or -31102?\nAnswer: -31100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18405 is divided by 1167.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 8*n + 63. Let w be f(-14). Suppose -13*l = -6*l - w. Solve 5*o = -5*q + 5, -l = o - 2*o - 5*q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*a + l, 105 = 3*a - 5*l + 70 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0063058 and -3.\nAnswer: -0.0189174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 24. Suppose 3*t = -12, c*t - t - 132 = -5*i. What is the remainder when i is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l - 8*l + 8*l - 3 + (l + 2 - 2)*(5 - 3 + 0).\nAnswer: 6*l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-15)*1290\/(-172)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 393\/(-21) + (-1683)\/(-357)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*r - 16 + 7*r - 23*r + 14*r)*(66*r - 20*r + 77*r) to c*r + t + s*r**2 and give s.\nAnswer: 861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 253\/10, 2\/7, -0.3, -5.\nAnswer: -5, -0.3, 2\/7, 253\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + z**2 + 2*z - 2. Let c be k(2). Let t(n) = -2*n - 4. Let q be t(-4). Put q, c, 0 in ascending order.\nAnswer: c, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 69*c**2 - 4854*c - 4267. Determine d(-112).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 900 divide 157851041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 4:34 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 3*c + 4. Let u = 3 - 5. Let m = u - 5. List the prime factors of h(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*s = -16, -2*s - 4 = -j - s. Suppose -z + 0*z + 43 = j. Let o = z - 20. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1383 + -1346. Calculate the highest common factor of 1961 and s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 7*h**2 + 6*h - 3. Suppose -n = m - 2, 2*n + 2*m = 6*n - 32. What is g(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825182393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7901 >= -7901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from {z: 4, y: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yywa when four letters picked without replacement from {a: 2, w: 3, y: 7}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -27*s**2 + 150*s - 123. Let x(z) = 16*z**2 - 77*z + 60. Let a(m) = 3*p(m) + 5*x(m). Determine a(64).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oymm when four letters picked without replacement from ymmofymfyomym.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 4*z**2 + 6. Suppose 14*u = 5*x + 19*u - 35, -25 = -4*x - 3*u. Calculate r(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4*(-16866)\/48)\/(3\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182060 + 75008 - 100435 = -5294*g - 256299 for g.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1216 + 1216 + 49*t)*(t**3 - t**3 + 2*t**4) + (3*t**4 + 2*t**4 - 3*t**4)*(-t - 5*t + 2*t).\nAnswer: 90*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/13 + (-3210)\/312. Which is the biggest value? (a) z (b) 0.5 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98 - 96. Suppose -6 = -2*a, 3*q - 6 - 9 = r*a. Let w be (-5 - -1)*(-6 + q). Let g(l) = l**3 + 6*l**2 + 5*l + 5. Calculate g(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrfffrrfrfrrrr. What is prob of picking 4 r?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 3*b**4\/4 - 171*b**3 + 29241*b**2\/2 - 555579*b - 141. Find w, given that l(w) = 0.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*n + 21 = 0, -30 + 9 = -5*g - 2*n. Calculate the remainder when 4\/(-2)*(-272)\/(g - -1) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 21*g**2 + 18*g - 17. Let d be u(4). Let w = -133 + d. Does 43 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 11*m + 7*m = 780, -i = 5*m - 390. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -10*c - 288. Let i(g) = -g**3 + 22*g**2 - 25*g + 55. Let y be i(21). What is the lowest common multiple of m(y) and 347?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -19, -2, 1\/6, 2240.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4271*b**2 - 44*b + 11. Let j(c) = 1068*c**2 - 11*c + 3. Let p(f) = -9*j(f) + 2*z(f). Let v be p(5). What is v rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13520 and 4.\nAnswer: -54080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0.8. Let l = -0.3 + h. Let d = -6 - -5.7. Which is the smallest value? (a) l (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*f)*(-3*f + 3*f - 8*f) + (0 + 0 + 1)*(1 + 2*f**2 - 1) + 3*f**2 + 0*f**2 - 2*f**2.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 6*d**2 + 2*d + 45. Let n be w(-7). Suppose 0 = -34*s + 38*s - n. What is the least common multiple of 5 and s?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 27 + 0*h + 29*h + 31.\nAnswer: 29*h + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 12*s. Let v(f) be the first derivative of f**4\/4 - 5*f + 5. Let y(d) be the first derivative of v(d). Determine n(y(t)).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 4*u**2 + 4*u - 1. Calculate t(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -21\/8, -4.88, -5, -64, -4, -1\/11?\nAnswer: -4.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**1\/b)\/b)**(26\/3)*b**6\/(b**(-1\/5)\/b) assuming b is positive.\nAnswer: b**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 446, 654, 846, 1016, 1158, 1266?\nAnswer: 1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.9 - -0.1. Let m be -2 - (2 + 0) - (4 - 8). Let a = 0.0605 - -0.9395. What is the closest to m in 0, a, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -404 (b) 0 (c) 2\/9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-4)\/72*(42\/4)\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/8 - (-2)\/4. Let p = a + 0. Let l = -12123 + 12125. Which is bigger: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 h, 1 a, and 1 m when four letters picked without replacement from bahsjmb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 525\/(-140) + (-234)\/72.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218 - 218 + 6*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/13645 and 61\/35.\nAnswer: 95515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m**3 + 1338*m**2\/5 - 108*m.\nAnswer: 6*m*(m + 45)*(5*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, -127, 4, 1869 in increasing order.\nAnswer: -127, 4, 5, 9, 1869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y. Let g be 30\/(-8)*2*20\/(-25). Let t(b) = 2*b**2 - 5*b**2 + 8 + 6*b**2 - g. Let i(h) = -10*o(h) + 2*t(h). Determine k, given that i(k) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83181 - 152666368\nAnswer: -152583187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300988, -300989, -300990, -300991, -300992?\nAnswer: -300993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -5, -1\/3, -7, -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2. Suppose -5*i = -4*s - 75, -2*s - 2*i - 4 = 20. Let f be ((-78)\/s)\/1*5. Let m(j) = j + 26 - f. What is c(m(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-315)\/(-420))\/(10\/136*(-27)\/(-45))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.79591 to one decimal place.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.197 + 0.097. Are 5\/8 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1070 and 838.\nAnswer: 448330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, x: 7, k: 1, y: 2}. What is prob of sequence txt?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48967?\nAnswer: 23, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 198.23\nAnswer: -198.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**4\/4 + 2*b**3\/3 - 4*b**2 + 2*b + 31. Let u(t) = t**3 - t**2 + 5*t - 1. Determine 5*q(n) + 8*u(n).\nAnswer: 3*n**3 + 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 13*f**8\/336 - 11*f**4\/12 - 28*f**2. What is the second derivative of h(y) wrt y?\nAnswer: 260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1909)\/13 + 2\/(-13). What is u rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33\/12 + 2\/8. Let p(x) be the third derivative of -1\/8*x**4 + 0 + x**2 + 0*x + 0*x**i. Let g(n) = 2*n. Give p(g(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/2 - 175869*o\/2.\nAnswer: 3*o*(o - 58623)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.0632 and -187?\nAnswer: 194.0632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498329087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2757 is divided by 1334?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + u - 1. Let g(n) = -5*n**2 + n - 1. Let h(z) = -g(z) + o(z). Suppose 16 = i - 177. Let r(m) = -m**2 + i - 193. What is r(h(f))?\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i - 24. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-208)\/40)\/(3\/6 + 21\/(-210)))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12123 by 75.\nAnswer: -4041\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.805 and -4.\nAnswer: 71.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((1650\/20)\/(-33))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -1 - (3 - 1). Suppose i = -2*p + 5*s - 2*s + 2, -p = -5*s - 8. Which is the nearest to 1\/2? (a) -4 (b) p (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-63)\/(-56))\/9 + 1965\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + d - 5. Let u(w) = -2*w**2 - 2*w + 6. Suppose 73 = 13*y + 21. Determine y*v(t) + 3*u(t).\nAnswer: -2*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3 = -1. Let k be -3 - (7504\/(-749) - -7). Which is bigger: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10754491199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138806141?\nAnswer: 1637, 84793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0181, 0, -2\/185, 0.3?\nAnswer: 0.0181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -4, -20, -38, -58, -80?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -526*j - 24810. What is g(-49)?\nAnswer: 964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 159 + 381. Suppose -5*z + 15 = 0, -3*s + 0*z = z - a. What is the remainder when s is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6*i = -10. Let f = 1137.1 - 1137. Let p = -65 - -41. Which is the nearest to 0.1? (a) f (b) p (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*w - 142*w - 186 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*s**5 + 6\/5*s**3 + 0 + 0*s + 2*s**4 - 18\/5*s**2.\nAnswer: 2*s**2*(s - 1)*(s + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227784277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310041591?\nAnswer: 3, 103347197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.18 - -4.82. Let l = 2 + -1. Let p = 0 - -0.1. Which is the nearest to l? (a) d (b) 2\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -593\/2 - -290. What is the common denominator of q and 25\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683414?\nAnswer: 2, 29, 11783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 9 = 17*n - 14*n, l - 19 = 4*n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/81 and -115\/42.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 9 + 7. Let f be ((-695)\/150)\/(-1) - (-4)\/(-30). Which is greater: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2535*k + 12 - 20 + 8 + 2599*k.\nAnswer: 64*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/28*1*77\/(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*o = 5*b - 50, 38 = 3*b + 4*o. Suppose 0 = -5*n + 23*n - 162. Calculate the smallest common multiple of b and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 5*x + 4. Let z(i) be the first derivative of i**2\/2 + 5*i + 5. Let d = -8 - 0. Let a be z(d). Determine g(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(45) + sqrt(5))*-2)**2 + -5 + ((sqrt(25) - sqrt(625) - sqrt(25))\/sqrt(5) - sqrt(20)\/(sqrt(28)\/sqrt(7) + sqrt(4)))**2.\nAnswer: 5705\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.68 + 0.18. What is the nearest to -2\/11 in -1, 1\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1744 - 3629*i**2 + 1796 - 3540 - 2777*i wrt i.\nAnswer: -7258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 5*k**2 + 6*k. Let s be f(6). Let i = s - 6. What is the third smallest value in -3, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/528698 and 9\/22.\nAnswer: 5815678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -335, -504, -673?\nAnswer: -842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 9. Is 327 - ((j - 1) + -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 7*t - 8. Let k be v(8). Suppose 0 = -k*o - o + 7. What is the highest common divisor of o and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + y**2 + 2*y. Let w be h(0). Do w and -1\/8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + -14. Find the common denominator of 2618\/(-2420) - 4\/(-22) and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 16 = -5*m - 0, -6*i + 4 = -5*m. Suppose -i*w = -5*y + 225 - 61, -4*w + 156 = 5*y. What is the greatest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**3 - 30*n**2 - 28*n + 31. List the prime factors of u(10).\nAnswer: 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001121493 rounded to six decimal places?\nAnswer: -0.001121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*a - 69518 - 15528. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + -6 + -82 + -16?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 72.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 534758, 2\/7 in ascending order.\nAnswer: 2\/7, 4, 534758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -2039*m**5\/20 - 136*m**3\/3 - 7*m**2\/2 - 3468*m. What is the second derivative of i(w) wrt w?\nAnswer: -12234*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -347, -487, -609, -707, -775?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 780513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b2 - -63?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0367 - 238.0367. Let q = h - -237.9998914. What is q rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 632\/(-1106)*1\/((-2)\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from {e: 3, a: 1, z: 6, b: 4}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**3 - 2*o + 730. Let q(k) = -69*k**2. Calculate j(q(p)).\nAnswer: 414*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50763677\/363 + 139845. Calculate the common denominator of 149\/528 and s.\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17447 - -17567. Calculate the greatest common factor of 1240 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25050917.1540203394 + -2727.8458816606. Let i = -25053692 - v. Let g = 47 + i. Round g to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 7*p - 3*p)*(-933 + 933 + 83*p**3) + 5*p**4 - 4*p**4 - 2*p**4.\nAnswer: 165*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -16*m**2 - 18*m. Let q(c) = -c. Let i(h) = 3*q(h) - r(h). What is the second derivative of i(o) wrt o?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 233 + (-10)\/(-15)*9. Let n = 175 + w. What is the greatest common divisor of n and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w - 26. Calculate the highest common divisor of 39 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/25588848 and 38\/1599303.\nAnswer: 25588848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2814 = 16*x - 2*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 99503*g + 1393137. Give f(-14).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*f + 6 - 380669*f**2 + 380667*f**2 + 2 - 8.\nAnswer: -2*f**2 + 203*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 11675286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -31 + 42 - 794*-1. Is 804 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 44.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*7\/(-14)*4\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4 + 306*p**3 - 25720*p**2 + 352350*p - 1156375 = 0.\nAnswer: 5, 11, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-21)\/(-6) - (9 - 8). What is the closest to 1 in -3, r, 0, 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -8*f + 10. Differentiate -1 + 10*x**2 - x**f - 4*x**2 with respect to x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 175589716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113.7219 + 825.031.\nAnswer: 938.7529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*x + 21, -5*g + 5*x - 2*x = -127. Suppose g + 14 = -5*j. Let y(v) = -v**3 - 8*v**2 - 5*v - 5. Let c be y(j). Solve 5*i - 10 = -c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-13)\/5 - 2\/5)\/(-1). Suppose 0 = -v*t - 2*t + 180. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 6*y. Let s be r(-6). Let l = 32 - 36. Let f be (1\/2)\/(l\/(-184)). Solve -5*v + 3 - f = s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 438309*h*j**2 + 164*h*j + 3*h - 7*j + 5 wrt j?\nAnswer: 876618*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kckmxrkkr. What is prob of sequence kkm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.8. Let l = 16 + -20. Which is the second smallest value? (a) l (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/80 + 121\/80. Which is the closest to 0.06? (a) 0.5 (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -9*q**3 - 13*q**2 - 5*q - 5. Let f(t) = 14*t**3 + 20*t**2 + 8*t + 8. Let g(p) = 8*d(p) + 5*f(p). Factor g(b).\nAnswer: -2*b**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512 (base 15) to base 3.\nAnswer: 1120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/28)\/((-1)\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -77969.8 to the nearest 1000.\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-5))\/((-61)\/366). Let t(v) be the first derivative of -5\/2*v**2 - 3 + 0*v**4 + 0*v**3 + k*v**5 + 0*v. What is the second derivative of t(o) wrt o?\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + -2 + 19 + -2. Suppose -3*r + j + o = -2*r, 2*r - 27 = 3*j. Let t(y) = -y**2 + 18*y - 1. List the prime factors of t(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 + 2*v**2. Let l be p(2). Let a = -3 + l. Let k = -576 - -660. Calculate the highest common divisor of k and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 61105, 60985, 60785, 60505, 60145?\n\"Answer: -40*i**2 + 61145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -37470.8079 rounded to the nearest one thousand?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(2 - 2 - 2) + 4 + 5 - 6)*(-2*j**3 - 4*j**3 + 3*j**3)*(-2*j - 5*j + 4*j).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 40*f + 16. Let x be o(4). Suppose z + 7*z = x. What is the highest common factor of 55 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42638 (base 9) to base 14.\nAnswer: a3dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -3. Suppose -d*j + 22 = -5. Let n(x) = -x**2 + 8*x + 13. Let i be n(j). Sort -3\/5, i, 0 in decreasing order.\nAnswer: i, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 533, 560, 587?\n\"Answer: 27*w + 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in minutes?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -7a80b08?\nAnswer: -7a80b0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-187)*2\/(498\/(-913))?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -381 - 1473 + 128 - 45*k**4 - 5*k wrt k.\nAnswer: -180*k**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 270389 + 5760.\nAnswer: 276149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -12.1. Which is the nearest to -1\/4? (a) 1\/2 (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 120 = 2*h. Let o = -71 + h. What is the units digit of (-3)\/4*(-1 + 5) - o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000064281 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 9*i = -5*i + 106, -16 = -2*d - 5*i. Solve 2*w = d - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000792448 rounded to seven dps?\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 6566984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 + 3*g**2 + 6*g**2 to i*g**2 + w + y*g and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.12 + 83.52. Let i = 79.9 - j. Suppose 5*p = 20, 0 = 4*q + p + p + 12. Which is the nearest to -1? (a) i (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 35*d. Let u(m) = 12*m**2 + 11*m + 25. Let p be u(-2). Let g(k) = -p*k**2 + 32*k**2 + 22*k**2. Determine f(g(t)).\nAnswer: 105*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -9, -3*b + f - 117 = 2*b. Find the common denominator of 0 - ((-190)\/b + (3 - 1)) and -163\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**4\/12 - p**3\/6 + 33*p**2\/2 + 2*p. Let a be y(0). What is the highest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1679674 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 1. Let o(y) = -104*y**3 + 2*y**2 + 2*y + 1. Let c be o(j). Let p = c + -66. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.2, -0.3, 1, -5\/212 in increasing order.\nAnswer: -0.3, -0.2, -5\/212, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18441*r**3 - 18491*r**3 - 18499*r**3 - 18501*r**3 + 73937*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5978117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*a + 44*a. Is a smaller than -9\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 8:55 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -130 - -214. Let c = -89 - n. Let x = c + 308. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69709374 > -69709376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/8890 and -29\/3931795?\nAnswer: 998675930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1014)\/(-1690))\/(4\/(240\/9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j - 18*j - 6*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*(n\/n**(2\/9))\/n*n))\/((n**4*n)\/n)*n**(-2\/9)*n*n**(4\/9))**(4\/17) assuming n is positive.\nAnswer: n**(-128\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-7 - -1 - -8) + 0 + 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2072 (base 9) to base 13\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 3*p + 34, -2*p - 19 = -3*x + 9. Let a(j) = 9*j**2 + 6*j. Let n(m) = -3*m**2 - 2*m. Give x*n(o) + 3*a(o).\nAnswer: 3*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1825937?\nAnswer: 1825937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 273554682 to the power of 1\/3, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -93, -20, 1 in decreasing order.\nAnswer: 2, 1, -20, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 4*x - 15, x + 8*n = 10*n - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 27*z + 43. Let u be f(-6). Let j = u + 119. Solve 4*l = -j*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 14 = 74*i - 76*i, -2*n = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 7*j**2 + 8*j + 5. Calculate g(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 383639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215836, 215832, 215828?\nAnswer: 215824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7395 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5311332 - -5?\nAnswer: -5311323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007077 to seven decimal places.\nAnswer: 0.0000708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5 - 1. Let m(f) = -18*f - 123. Let g be m(-7). Find the second derivative of x*r**3 + 0*r**g + 4*r**3 + 11*r + r**3 wrt r.\nAnswer: 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -14*s - 102. Determine v(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.89 + 27.39. Let q = 21 - m. Round q to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/(-12))\/(1720\/1376))\/(-16).\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u + 1220 - 3404. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 55 - 64 = 0. Solve 0 = h - o*h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 22*j**2 - 43*j + 14. Let l(w) = -w + 1. Let o(k) = 5*l(k) - y(k). Is 3 a factor of o(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 29840 = -5*s, r + 7583 + 4352 = 2*s. What are the prime factors of s?\nAnswer: 2, 3, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - s. Let z(i) = -i**2 + i. Let t be z(s). Suppose t = -2*r - 5*j + 45, 2*r + 5*j = j + 40. Solve -4*b = b + r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 381 + 995. Is l a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3331 or 3336?\nAnswer: 3336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1438 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4*x = 11, n - 5*x = -6 - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 1.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -305*k**4 + 4*k**2 - 4*k + 274. Let q(o) = 1830*o**4 - 25*o**2 + 27*o - 1643. Let t(v) = 2*q(v) + 13*u(v). Find the second derivative of t(i) wrt i.\nAnswer: -3660*i**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*f + 20 = -5*f, -5*h - 5*f = 20. Suppose -b - 3*b - 20 = 4*c, -5*c - 9 = -3*b. Which is greater: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 + 1. Let x be n(-1). Calculate the remainder when 57 is divided by (-92)\/(-4) - 0 - x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2543\/25916 + -20\/341. Is y < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-265)\/(-33072)*8*(-27)\/30.\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - -2) + (-53 - (-15 + 4)) - 123.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4370)\/27531)\/(5\/(-7)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 174 and 146.0916.\nAnswer: 320.0916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 - -322?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z - 3*z - 2*z - z + 97. Let p = 7 + -7. Is a(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**4\/24 - 2*o**3\/3 - 8*o**2. Let t be x(4). Solve v + t = 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**0*x**(1\/2))\/(x**(-5\/3)\/(x**(-8)*x)))\/(((x*x**(-1\/7)*x)\/x)\/(x*x**(-4)*x*x)*x*x**5*x**(-5)\/x) assuming x is positive.\nAnswer: x**(-239\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 2. Let z be f(0). Let w be (3\/(-4))\/3 + (-19491)\/356. Let p = 221\/4 + w. Which is the third smallest value? (a) z (b) 5 (c) 0 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -140328534.\nAnswer: 42098560.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 22545331 (base 7) to base 3\nAnswer: 10201111011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 12) to base 7\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612597125 + 18*n - 5*n**2 + 612597125.\nAnswer: -5*n**2 + 18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtwwtqtw. Give prob of picking 2 t and 1 w.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8396836851 to the power of 1\/9, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 10. Let x be w(10). Let n be (-24)\/(-27)*(-3)\/x. Sort n, 0, 0.2 in decreasing order.\nAnswer: 0.2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0043195492 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.364422 millennia to centuries.\nAnswer: 33.64422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 0*i**3 + 2*i**2 + 1\/30*i**5 + 0*i**4 - 1\/20*i**6 + 0 + 0*i. What is the third derivative of w(t) wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**5\/40 - 9*l**4\/16 + 5*l**3\/2 - 107*l**2. Solve h(k) = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9109 + 9114. Let m(y) be the third derivative of 0 + 7\/8*y**4 + 1\/30*y**6 + 18*y**2 + 0*y + 2\/5*y**p + 5\/6*y**3. Factor m(n).\nAnswer: (n + 5)*(2*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*m + 1)*(3*m - 3*m - 12*m).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133502*h**3*u**2 + 11*h**3 - h*u**2 + 3034769*u**2 wrt h?\nAnswer: 801012*h*u**2 + 66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 381 + 168 = -171 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 1 = -t - 2, 0 = 2*t - 4*q - 4. Let x be 9\/18 - (-30)\/4. Let b be x\/(-32) + 22\/24. Is b != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26821.26 centimeters in kilometers?\nAnswer: 0.2682126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 128, 105, 46, -49, -180?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 - (-31)\/((-186)\/90). Let x(l) = 6*l + 2. Let q be x(1). Sort -1, z, -0.3, q.\nAnswer: z, -1, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 383684 - 1.51247725\nAnswer: 383682.48752275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkeekek. What is prob of picking 3 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263746.\nAnswer: 2, 7, 18839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3 - 2 + 2*k + 6*k - 7*k. Let x = 41 + -59. Let d(p) = 4*p + 4. Determine x*s(b) + 4*d(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 205, 408, 611?\n\"Answer: 203*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -1\/15*l**5 - l**2 + 0*l**3 - 1\/3*l**4 - 24 + 7\/30*l**6 + 0*l. What is the third derivative of b(t) wrt t?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 9*o + 9*o + 8*o + o + 3*o - 6*o + (-1 + 2 - 4)*(2*o + 3*o - 4*o) in the form v*o + k and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) - (-4*sqrt(18) + sqrt(2))) + (sqrt(24)*-1 - sqrt(24))\/sqrt(12) + -2.\nAnswer: -2 + 58*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 15345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0721 and -133453715689.\nAnswer: -133453715688.9279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2370612 minutes in hours?\nAnswer: 0.00395102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14287 + 1?\nAnswer: 14288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16230 - -19686. What are the prime factors of p?\nAnswer: 2, 3, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 75*t**2 + 89*t - 100*t - 1 + 4*t**3 + 1. Let r(g) = -g**3 - 15*g**2 + 2*g. Let m(a) = 11*r(a) + 2*y(a). Solve m(q) = 0 for q.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 314\/369 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - 6*a + 45 - 2*a**3 - 45 as s + j*a + n*a**3 + h*a**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1870 and -13\/306.\nAnswer: 16830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - m - 3*g + 10, 5*g + 2 = m. Let t = -1\/91 - -2\/13. Which is the smallest value? (a) t (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 3*b = 145*v - 348, v - 31*b + 34*b = -28 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i - 2. Calculate the least common multiple of 1*-2*((-7)\/2 + 2) and y(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v. Let x(n) = -2*n. Let h(p) = 9*b(p) + 4*x(p). Let y(c) = c**3 - 16*c**2 - 15*c + 4. Let d be y(17). Let t(j) = d - 38 - 16*j**2. Calculate h(t(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 406169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1116 and 13764?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105341?\nAnswer: 105341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n. Let b(j) = 1184*j - 1. Give b(v(s)).\nAnswer: 2368*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**4 - i**3 - 44*i**2 + 70*i - 2538045.\nAnswer: -4*i**3 - 3*i**2 - 88*i + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 370597699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 22*n**3 + 9*n**2 + 11*n - 11. Let q(g) = 7*g**3 + 3*g**2 + 4*g - 4. Determine -11*q(p) + 4*u(p).\nAnswer: 11*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 22. Let x = 20 - -2. Let z = x - 13. Calculate the remainder when f is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51526883?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 25*j**2 + 84*j + 1515. What is n(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 2*a + a)*(3*a - 6*a + 0*a) + (-1 + a + 1)*(3*a - 2*a + 0*a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32183062 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -226.9 + 227. Which is the nearest to -0.1? (a) u (b) 0.03 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 17*n**5\/12 - 2*n**2 - 2*n. Let d(f) be the first derivative of i(f). Is d(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 + 464*f\/7 + 466\/7.\nAnswer: -2*(f - 233)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8. Let t(u) = -15*u - 49. Calculate -t(c) - 4*y(c).\nAnswer: 15*c + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/4 + 72*z - 1728.\nAnswer: -3*(z - 48)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - -55. Let r = j - 5. Which is the nearest to -1\/5? (a) r (b) -2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22164, 22158, 22124, 22044, 21900, 21674?\nAnswer: 21348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/407? (a) 3\/5 (b) 10 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 5*y**9\/126 + 5*y**5\/3 + 9*y**2 - 2. What is the third derivative of l(w) wrt w?\nAnswer: 2400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**2 + 5*m - 5. Let v(b) = 5*b**2 + 2*b - 4*b**2 - 2 - 3*b**2. Let x be (-8)\/4 - (-4)\/1. Give x*c(u) - 5*v(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -283665 by -18911.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 2*t**2 + 0*t**2 + (2*t + 3 - 3)*(0 - 8*t + 0).\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**4\/24 - 5*s**3\/6 + 2*s**2. Let p be u(8). Let k(c) = -c. Calculate k(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 33 + -37 + -10 - 27.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/3 - 76956*u**2 + 6776000*u - 447301184\/3.\nAnswer: -2*(u - 44)**2*(u + 115522)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 70*i**2 + 24*i + 144. What are the prime factors of l(-34)?\nAnswer: 2, 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.3 - -0.7. Let o = 33 - b. Is 0.2 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.43 - -562885065\nAnswer: 562885066.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 2678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4 - -1.6. What is the biggest value in m, -0.5, -0.8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -b - 22. Suppose 5183*w = 5324*w - 1692. Calculate the least common multiple of w and b.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32104763 and 123?\nAnswer: 96314289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-9)\/6)*4. Suppose 4*x = -5*a + 3 + 184, -x = f. Let d = a - 23. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/(33\/(-180)) - -2. Let c = 61 + q. Suppose 77 = w - 4*t, -30 = -w + c*t + 44. What are the prime factors of w?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1841 + 368. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, p: 5, a: 3, m: 3, j: 2}. What is prob of picking 2 a and 1 j?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d = 1160. Suppose 0 = -8*c + 4*c + d. Is -1 - (-5)\/(5\/c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 4*i - 13 = 0, -f + 2 - 7 = -2*i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96522 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s - 212. What is z(29)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 + 22 = -8*b - 7 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 481.209 millennia?\nAnswer: 48120.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**2*y + 2*b**2 - 2*b*y - 8632*b + 710053*y + 10 wrt b?\nAnswer: 4*b*y + 4*b - 2*y - 8632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37453187 by 383.\nAnswer: -97789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0, 3, 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 135495096 to the power of 1\/2, to the nearest integer?\nAnswer: 11640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2467, 2468, 2469, 2470, 2471?\n\"Answer: q + 2466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -571233 (base 8) to base 3\nAnswer: -100210222210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + -2*(sqrt(99) + 0) + (-2*sqrt(99)*4 - sqrt(99)))**2.\nAnswer: 132*sqrt(11) + 11983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05252 to 3 decimal places.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110001000001011 (base 2) in base 7?\nAnswer: -1612243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*d + 9123 + 19681 = 0. Does 29 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z**2 + 10*z**2 + 14*z**2 in the form c*z**2 + m*z + j and give c.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = -4*t + 3, 4*t = 3*h + 9. Let d be t\/7 - (-1 + -3). Let u = -1.97 - -2. Which is the biggest value? (a) u (b) d (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*i - 29. Suppose -10*h + i*h = -1. Solve -4*b = -3*b + h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 3909.\nAnswer: 3909.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u. Let z(d) = -d. Let y(a) = -2*n(a) - 11*z(a). Let h(p) = p. Calculate -2*h(q) + y(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -11*c + 2. Determine i(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t + 6. Let x be t + (26 + 1)*1. Solve 8*a = 3*a - x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12382523 greater than 12382548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o - 57*o - 35*o - 12*o.\nAnswer: -85*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1\/3, -12, -0.1495, 2, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 3\/32*o**4 - 3\/160*o**5 + 0 + 12*o + 0*o**2 - 1\/8*o**3. Factor j(v).\nAnswer: -3*v*(v - 2)*(v - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3\/7)*c)\/c)**(-43))**10 assuming c is positive.\nAnswer: c**(1290\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2005 + 2897. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/3, 2423\/237, 3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-77 - -40 - -13)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 695 and 121347.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57996*d**6 - 2*d**2 + 3*d - 6985?\nAnswer: 6959520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 13856 = -2*o + 5571, -5*q - 5*o = -8320. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129 - -471. Let h = 7 - 1. Suppose -h*g - 4*a = -2*g - s, 3*g - 430 = a. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219977 + 47188 = 45*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**9*s)**20*s**13\/s*s*s**(-1\/5)*s)**(-29\/4) assuming s is positive.\nAnswer: s**(-31001\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -345 and -0.6.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 379. Let k = -1967\/6 - w. Calculate the common denominator of k and 107\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43 + -6?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q**3*v*w - 4*q**3*v - 4*q**2*w + 309*v*w - 320*v with respect to w.\nAnswer: -3*q**3*v - 4*q**2 + 309*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 14546016.\nAnswer: 14546016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210492336.\nAnswer: 2, 3, 19, 443, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 67 - 17 = 0. Let k be 9\/30*(1 + h\/(-9)). Which is the second biggest value? (a) -5 (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 20 = -2*z + 4*m, -4*m - 16 = -4*z. Let r be 0 + ((-60)\/3)\/(-5). Solve a = -a - z*l + 2, -r*a + 4 = 5*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -y - 2*f, 354*y = 388*y - f + 340 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 1)*(3*b - 3*b + b**3 - b**2) to i + d*b**2 + c*b + j*b**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/4)\/((-11)\/(-18)) + 24\/132?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 3:30 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.047 - 0.357. Let q = 0.09 - v. Sort -1\/3, q, -2\/3 in ascending order.\nAnswer: -2\/3, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008428 rounded to six dps?\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**3\/2 - 4*a. Suppose -11*s + 110 = -s. Let x(p) = 9*p + s - 11. What is b(x(o))?\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 282767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -59 (c) 3\/8 (d) -12954\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**3 - 1. Let j be y(-1). Suppose -7 = 3*q + d - j*d, q + 1 = -d. Let o be q\/1 + 3 + 3699. Round o to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 45, 56, 67, 78?\n\"Answer: 11*j + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8*x - 2 + 0 - 6*x + 12*x. Let z be b(0). Let a(w) = -2 + 81*w - 168*w + 84*w. Determine a(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 23\/3*i**3 + 1\/2*i**2 + 7*i - 8. Is j(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4169 + 4170. Is 4522 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805564021?\nAnswer: 43, 18734047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*l + 5*k - 786 = 83*l, -4035 = -5*l - 4*k. Suppose 538 - l = -a. List the prime factors of a.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24270211?\nAnswer: 7, 89, 163, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1896 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 62*b - 62. Let d be j(-32). Suppose -d*r = 6, 11*r + 15 = g + 6*r. Solve g = -5*k + 10 - 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -203 (c) 0.5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q + 0 + 117*q**2 + 4 + 7*q - 126*q**2. Suppose 4*m = -2*p - 24, -2*m + p - 4*p - 20 = 0. Let d(l) = l**2 - l - 1. What is m*d(v) - o(v)?\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-45192)\/(-10))\/((-2)\/(-20)). Suppose 0 = 12*s - 10*s + t. Let k be (4 - s)\/(-1) + 0. Round k to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 619\/4 + (-27)\/(-108). Let b(j) = 2 - j**3 + 2*j**3 + 158*j - y*j - 5. Let r(p) = -8*p**3 - 26*p + 26. Calculate -52*b(s) - 6*r(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 154703173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - 36 - -12) + 26?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*k**2*m**3 - 275*k*m**3 - 4098*m**3 with respect to k.\nAnswer: -20*k*m**3 - 275*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - h + 3*h = 28, -4*h + 8 = 0. Let u be ((-2)\/l)\/(5\/20). Let b be 1*-4 + -1 + u. Round b to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*j - 2416 = 76 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25332681 to the power of 1\/2, to the nearest integer?\nAnswer: 5033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + t = 9602, -5*l - 4*t = -1572 + 13564. What is l rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4996949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 2:01 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1094 and 179732713?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76787 by -485.\nAnswer: -76787\/485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -1337, -2 in increasing order.\nAnswer: -1337, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4349170 to the nearest one hundred thousand.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 1 + 2 + 52\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55\/2 - -109\/4. Let n = 527\/130 + -39\/10. What is the closest to -0.21 in n, h, 1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1989 and 0.4.\nAnswer: -0.07956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**2 + 20*q + 450141 = 0.\nAnswer: -661, 681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - (-32 + (-21)\/(-7)). Let b be 4\/10 + x\/220. Sort -0.5, b, -5, 1 in increasing order.\nAnswer: -5, -0.5, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o + 3*o**2 + 0*o + 6*o + 2*o to c + b*o + t*o**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 631*f - 1713. Let u be y(3). Which is smaller: 184 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 41*z**2 + 81*z**2 - 36*z**2 - z. What is the tens digit of f(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10808 and 18?\nAnswer: 97272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 + (8 - 2) - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5633 is divided by 405?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 3*h + 1. Let c be w(2). Solve c*g = g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28268774 is divided by 236?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 + 62 + 13*x)*(1 - 1 + x)*(1 + x - 1)*(-1 + 1 - 1).\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 706143 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.028 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -0.5, -3, -85.3 in ascending order.\nAnswer: -85.3, -3, -0.5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 539 and 241.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**4 - 5248*d**3 - 30738*d**2 - d + 1?\nAnswer: -96*d - 31488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -0.3. Let k = -26.9 + 25. Let h = 0.1 - k. What is the third smallest value in x, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153 - 54. Let x = k - 104.36. Let y = x - -0.36. Which is the smallest value? (a) -1\/4 (b) y (c) -0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 189351.99558 + -189260. Let u = -92 + a. Round u to four dps.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u - 63. Let k be y(12). Let a(r) = -9*r - 12. Give a(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(-1*sqrt(9) + sqrt(9) + sqrt(9)) - -3*sqrt(19)*1)*4*-4.\nAnswer: -64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/8)\/z**(1\/2))**(1\/15) assuming z is positive.\nAnswer: z**(-1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 5.4. Suppose 3*y - 5*y - 3*l = -45, -2*y + 2*l = -20. Let f = y - 19. What is the smallest value in f, -0.5, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*d + 3*d**2 - 17*d - d**2 wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 45*f**2 - 2. Let l(a) = 3*a**3 - 225*a**2 + 11. Calculate 2*l(s) + 11*u(s).\nAnswer: -5*s**3 + 45*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.2 (c) -198 (d) -176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 z when three letters picked without replacement from {k: 2, o: 1, j: 1, w: 2, z: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 5)\/((-9)\/48). Let n = 14 + w. Suppose 7*o + 18 - 39 = 0. Put o, 5, n in descending order.\nAnswer: 5, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -33*r**2 - 1036*r + 18299. Calculate h(-44).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*g**2 - 11 + 11 + g**2.\nAnswer: 194*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-54)\/15 - -3) + 4\/(-10). Let q be (3\/3 + -1)\/(-2). Put q, a, -3 in increasing order.\nAnswer: -3, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -624 - -636. Calculate the lowest common multiple of o and 30\/4 - (-1)\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 564*t - 6081. What is k(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 21 = -0*v - v, 3*o = 3*v - 9. Let x(k) be the third derivative of 7\/6*k**3 - 25*k**2 + 1\/60*k**5 + 0 + 1\/6*k**4 + k. Calculate x(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rryryusuyrrusrdyyr. Give prob of sequence uys.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -128\/31?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -630, -1286, -1964, -2664, -3386, -4130, -4896?\nAnswer: -5684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 + 8*r**2 + 2*r - 3. Let b be x(-7). Let j be (-2)\/12 - b\/(-6). Find the common denominator of -1\/14 and (2\/20)\/(j\/110).\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.408 - -0.282. Let l = 2.69 - p. Which is greater: l or 0.0605?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 341894? (a) 0.2 (b) -3 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a2c - 5ba?\nAnswer: -3208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Suppose -22*c + 7*p + 56 = -19*c, 0 = 2*c - p - 19. Sort c, o, -9 in increasing order.\nAnswer: -9, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 422000 = 2*u. Round u to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-14) - (-1197)\/(-147)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t + 12. Let x be q(12). Calculate the greatest common factor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 18*f**2 - 38*f + 12. Is 21 a factor of l(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.021 + 0.087. Let h = q - 1.106. What is h rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 32*l**2 + 2*l - 23. Is v(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51068*f**5 + 2634*f**3 + 270152105*f wrt f?\nAnswer: 1021360*f**3 + 15804*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tupn when four letters picked without replacement from {n: 1, u: 1, p: 1, t: 1, m: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 483 + 165 = 0. Is 22 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-82)\/(-164)*6*-3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 421, 815, 1187, 1531, 1841, 2111, 2335?\n\"Answer: -u**3 - 5*u**2 + 416*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 50526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.052, -3, -52\/7?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.15 + -4.85. What is the biggest value in 4, j, -0.6, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by 139.\nAnswer: -73\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 + -43. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*x**5 + 2*x**4 + 2*x**2 - 47*x?\nAnswer: -6480*x**2 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + a = 2*t + 31, 3*t = -4*a - 47. Let h be 6\/t - 70\/(-6). Let f(n) = -n + 6. Let s be f(5). Calculate the highest common divisor of h and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.7 + -4. Let d = x + -0.8. What is d rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0568045 rounded to four decimal places?\nAnswer: 0.0568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 256*d - 2583. Let p be f(10). Put p, -3, 2, -2, 0 in increasing order.\nAnswer: p, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12675 divided by -169.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13045 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 12*n. Let z(v) = -3*v**2 + 8*v - 76. Let f(r) = -2*o(r) - z(r). What is f(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -13. Suppose 0 = 2*v - 0*v - 52. Let k = v + -6. Solve -y*c - c + k = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -48637 = -48635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/30 - -4)\/(((-3)\/(-70))\/(20610\/3206)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -191 - -200. Let y(k) = k**3 - 10*k**2 + 7*k + 20. Let b be y(f). Solve 0*i = b*o - 3*i - 25, -5 = -3*o - 2*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m**(-2\/27)*m*((m**17*m)\/m*m)\/m assuming m is positive.\nAnswer: m**(538\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h + 3\/2*h**2 - 9\/2 = 0. Calculate h.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1426b (base 12) to base 10\nAnswer: -28019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1309 = -1315. Solve h = -4*y + 4, -2*h - x*h = 3*y + 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-23))*m)**(-49)\/(m*m**23*m)**25)**(1\/15) assuming m is positive.\nAnswer: m**(-1801\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -q - 13, 0 = -5*k - 5*q - 4 - 1. What is the third derivative of 79237 + i**2 - 79237 + 235*i**k wrt i?\nAnswer: 1410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (130\/(-39))\/((-11)\/((-198)\/(-12)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b4 - 255?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(10*-1 - 0). Let u = 290.8 + -291. Which is smaller: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 21 + p**2 - 19 + 82 + 0*p**2.\nAnswer: p**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 345436615 and 3.\nAnswer: 345436618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*u - 331*u - 2 = 2*o, -u - 5 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -20*g**2 - 135*g - 21. Calculate x(-7).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlcl when four letters picked without replacement from {c: 2, l: 2, n: 3, k: 2, d: 6}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(sqrt(136) + 1*sqrt(136)))\/(-2*sqrt(16)\/sqrt(2))*-2.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455 and 715.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + -2)**2 + sqrt(125))*-4.\nAnswer: -516 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3058\/66*(-6)\/80. Let o = 31\/8 + s. Which is the smallest value? (a) 0.3 (b) -2 (c) o (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-640)*6\/4)\/(2\/8)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 1. Let k be (8\/3)\/((-6)\/(-9)). Suppose -k*m + 3*m + 18 = 0. Let x be (-208)\/36 + (-4)\/m. Determine a(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + m + 23, -j + 9 = 3*m + 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:51 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -26*n + 860. Let j be t(33). Solve 0 = -17*l + 14*l - 3*q - 12, 5*l - j*q = -20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 19*i - 2. Let o(p) = 201*p - 21. Let v(j) = 2*o(j) - 21*r(j). Let n(z) = -15*z**2 + 8. Determine v(n(b)).\nAnswer: -45*b**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -916*s - 49436 = -933*s. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 21*r - 142795 = -4*x, 5*x - 178498 = -2*r. Round x to the nearest 1000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -4 + (2 - -4). What are the prime factors of -255*2\/(-18)*m?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5 + 25. Let b = 5 - m. What is the lowest common multiple of (-2)\/4*(0 + -36) and b?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138 and 414?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2099?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4054*i - 550 = 4076*i for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/105387 - 780285341\/737709. Let h = s - -1058. Factor h*k**3 + 2\/7*k**2 - 2\/7 - 2\/7*k.\nAnswer: 2*(k - 1)*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50343 take away -2?\nAnswer: -50341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*k + 3)*(79 + 0 + 1 - 4 + 3 + 3 + (-3 - 1 + 2)*(3 - 5 + 4)).\nAnswer: 156*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 351212, 351229, 351248, 351269, 351292, 351317, 351344?\n\"Answer: d**2 + 14*d + 351197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2000725341 + -60.2000751841. Let f = -60 - w. What is f rounded to 7 decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*a - 20 = 0. Is a at most 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 22 = w, 12*u - 16*u = w + 14. Let i(r) = -2*r - 2. Let y(p) = -3*p - 2. Calculate u*y(t) + 5*i(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npqnnqpqganpqqpq. What is prob of sequence qnpa?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4321 is divided by 1153.\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 5*j**2. Let r be w(5). Suppose r = 5*v - 237 - 253. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-10)*30\/(-4). Suppose -g = 4*v + 11, -v - z = -4*g + g. Let w = v + 7. Are -1 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j + 7*j - 2*j)*(7 + 16 + 17) as y*j + c and give y.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 9 = -7. Calculate the common denominator of g\/((-1)\/(-76)*-10) and 29\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1869 or -20544\/11?\nAnswer: -20544\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) + 13 + (-2)\/(-6). Solve p*a = -174 + 96 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2\/(i*i\/(i*i\/i**(1\/6))))\/(i**(-2\/5)*i**3))\/(i\/(i*i*i**3)*i\/i**(-2\/3))**(-27) assuming i is positive.\nAnswer: i**(-1913\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2. Let s(n) = -2*n**2 - n + 1. Let o(z) be the first derivative of -5*z - 3*z**2 - 33 - 11\/3*z**3. Let d(x) = -o(x) + 6*s(x). What is d(q(y))?\nAnswer: -y**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -3028*g**3\/3 - 3480*g - 1759. What is the derivative of r(m) wrt m?\nAnswer: -6056*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/193412369 and -13\/6.\nAnswer: 1160474214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(9)*1) - ((2 + sqrt(500))**2 + sqrt(5)).\nAnswer: -504 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*h - 17884, 15*b + 3*h - 8952 = 13*b. What are the prime factors of b?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 31, -1\/2?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18758406 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 0 + 17)*(f - f + 2*f)*(4*f**2 - 6*f**2 - 10*f**2) + 2 + 6*f**3 - 2 in the form k + d*f**3 + p*f**2 + n*f and give d.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + n - 13. Let m be a(0). Let g be -3*m\/3 + -2. Solve -3*b - g = -y, -4*b - 11 = -y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6\/5)*b**5 assuming b is positive.\nAnswer: b**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w - w + 3*w)*(11 - 72 - 49 + 23) to x + v*w and give v.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5950.7 - -0.6.\nAnswer: -5950.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62.8 - 63. Let r = 0.24 - 0.43. Let h = 0.23 + r. Which is the second smallest value? (a) 0.2 (b) h (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/4 + 21225*h**4 + 450585517*h**3 + 3603665400*h**2 + 7206651664*h = 0. What is h?\nAnswer: -42446, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v\/(v**(-4\/5)\/v)*v)))**(2\/9) assuming v is positive.\nAnswer: v**(28\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38096871 is divided by 1810?\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-420)\/(-18)*(-12)\/(-10). Let c = -75 + 128. Let y = c - z. Solve x - y = -4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8168 a factor of 1047125998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -165 - 156 + 321 + c. Suppose d - 6 = -d. Let b(g) = d - 3 + 0 + 32*g. Calculate a(b(i)).\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 - 3*t**3 + 3*t**3 + (-1 - 2 + 5)*(2*t**2 - 2*t**2 - t**4) + t**4 + t**4 - t**4.\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2966*a + 2964*a + 17 = 3 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*j - 5 = 8, 3*j = 5*c - 34. Suppose 4*q + c*x + 0*x - 72 = 0, 2*q - 36 = -3*x. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i = -12, p = 5*i + 31. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 144520316*o*w - 369692823*w + 2 wrt o.\nAnswer: 144520316*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 r when three letters picked without replacement from {r: 1, z: 1, i: 1, a: 1, m: 2, n: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -463.1 - -498. Let u = 50.9 - y. Do u and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 0.5 (b) 3\/4 (c) -0.04 (d) -0.76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*x**3 - 661246 + 661246 - 4*x**3 + 2*x - 6584*x**2 as u*x**2 + o + w*x + f*x**3 and give u.\nAnswer: -6584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -28*g**4 - 120*g**5 + 33*g**5 + 25*g**5 + 34*g**5 + 32*g**5 + 48*g**2 + 16*g**3 = 0.\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.960386ug in kilograms?\nAnswer: 0.000000003960386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1782, 4, -4, -83 in descending order.\nAnswer: 4, 0.1782, -4, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*g + 2*g**2 - 3*g)*(g**2 + 3*g - 3*g) + 3*g**4 + 31 - 31)*(3 + 2*g - 3).\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + q**2 + 3*q + 8. Let s be i(0). Calculate the greatest common factor of 56 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42282 and 61934382.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 - 2. Let k(o) = -2*o**3 - 12*o**2 - 2*o - 280. Let j(x) = -6*g(x) + k(x). Differentiate j(f) with respect to f.\nAnswer: -6*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143 + -58. Suppose -2*s - 12 = -76. Let j = h - s. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (6 + -11 + 7 - -21).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -24*k**3 - 10*k**2 - 12*k - 10. Let c(v) = v**3 + v**2 + v + 1. Determine -10*c(h) - u(h).\nAnswer: 14*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or 21397?\nAnswer: 21397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/7 in 0.4, -56.6, 1\/6, -0.11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 232*j**2 + 42*j + 11\/2*j**3.\nAnswer: j*(j + 42)*(11*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 157, 678, 1933, 4288, 8109, 13762?\n\"Answer: 61*i**3 + i**2 + 91*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33204421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23504\/(-4407) + 10*1?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -74 + 13 - z**2 + 8*z**2 - 3*z**2. Give a(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*p**2 + 214 - 214.\nAnswer: 41*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in -1\/2, -1\/3, 1\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 963 + 508. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.41 - 1.21. Let j = 0.5 - 1. What is the second smallest value in -4, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 58\/(-10))*(-10)\/(-3). Let v be 3\/15 + (s\/(-20) - 1). Suppose v = 25*m - 23*m - 1418. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 195*u + 45*u - 23*u - 651 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -11\/6*n**3 + 5*n**2 - 1\/12*n**4 + 0 + 9*n. Is w(-10) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 3. Let u be h(-7). Suppose k - 19 = 2*r, -3*r - 3 + 2 = u*k. Let x = -6576 + 6574. Sort x, r, 1\/3 in descending order.\nAnswer: 1\/3, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37346 to the nearest one hundred.\nAnswer: 37300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2. Let x(t) = 2720*t**2 - 2*t - 1. Give x(w(a)).\nAnswer: 2720*a**4 + 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Let u(x) = -x**2 + 9*x - 8. Let z be u(8). Sort z, 1, k in ascending order.\nAnswer: z, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 64*y - 64. Suppose 29*f = 32*f - 6. Calculate the remainder when 80 is divided by g(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -8. Let g = l - 6. Let v = -0.002 + -1.998. Which is the nearest to 0.1? (a) -1 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 1:22 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43911?\nAnswer: 3, 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(432)*-3*-5)**2*6.\nAnswer: 5248800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3608 + 1586. What is the hundreds digit of 24\/(-120) - (g\/10)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/3, -10, 1 in increasing order.\nAnswer: -10, -5, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0811411 milligrams in micrograms?\nAnswer: 81.1411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005060364 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 p when three letters picked without replacement from dxbjxdxxdppx.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6358835, 6358818, 6358775, 6358694, 6358563, 6358370, 6358103?\n\"Answer: -2*j**3 - j**2 + 6358838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = c + 4 - 1, 3*d + 6 = 4*c. Let i(o) be the second derivative of -o**2 + 0 - 1\/6*o**3 - c*o. What is i(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -328 + 328.01. Is o at least -79\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/218520 and 163\/30.\nAnswer: 218520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -9 - -11 - 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*y - 19 + 2, -2*u - 4*y = -22. Suppose 4*g = -4*d + 24, 0 = -5*g + 5*d - 4*d + 30. Differentiate -g*c**3 + 8 - 9*c**u + 5 wrt c.\nAnswer: -45*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, u: 6, f: 2}. What is prob of sequence uf?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.103 - 0.103. Suppose 0*s + 13 = 2*s - 5*t, -5*s - 3*t = -17. Which is the closest to -1? (a) s (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.5 - -2.1. Put -0.3, t, -1 in ascending order.\nAnswer: -1, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 36*k - 4. Let q be v(3). Let u be ((-12)\/q)\/(6\/(-8)). What is the nearest to 0.3 in -1\/8, u, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 - 10260 + 10260.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/9)\/(3 + 92\/(-24)). Find the third derivative of 470*m - 188*m**4 - 9*m**t - 15*m**2 - 471*m wrt m.\nAnswer: -4512*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596258 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -9067 != -36263\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d**(-2\/3)*d))\/d)\/d**(-8))\/(d\/d**(6\/11)*d\/((d*(d**(-8)*d)\/d)\/d*d)*d))**(-49) assuming d is positive.\nAnswer: d**(2891\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 117772 = -413128. Suppose 4*a - d = d - s, -d + 1 = 0. What is the units digit of ((-2)\/(-6))\/((-28)\/a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 17*f**2 - 6*f. Let x(k) = -4*k - 7*k + 30*k**2 + 3*k**2. Suppose 0 = 29*n + 261*n - 628 - 1112. Calculate n*x(t) - 11*r(t).\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 357450.67 and 997.03.\nAnswer: 358447.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) - ((sqrt(16) - -5*sqrt(256)) + sqrt(16)))\/(3*(-1*sqrt(8) - sqrt(8))) - ((3*sqrt(2)*2 - sqrt(128)*2) + 2))**2.\nAnswer: -54*sqrt(2) + 737\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289245 divided by 3.\nAnswer: -96415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*i + 616 = -707*i + 303*i - 239 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 4*c - 6, -24*c + 28*c + 1 = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17769*w**3 + 5632779*w**2 - 5616906*w + 1896 = 0. Calculate w.\nAnswer: 2\/5923, 1, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 4*c - 186200 = -11*f, f - 46568 = -5*c. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2 + 20 - 55*a + 49*a. Let c(k) = -11*k + 36. Let g(z) = 3*c(z) - 5*u(z). What is the units digit of g(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 12*f**2 + 6*f - 12. Let k = 8 - -4. Is r(k) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -42. Let f = 38 - c. Let u = -0.032 + -0.968. What is the nearest to -2\/7 in -2, f, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 24 = 4*q, -4*x = -5*q - 7*x + 30. Let h be 12\/8*40\/q. Let s = -8 + h. Solve 5 = 3*d + 3*w + s*w, 0 = -3*d - 3*w + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 5*i**2 - 3*i + 3. Is y(3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 834 bigger than 834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -164*p - 548 + 101 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-16)\/(7 + -15). Let s(t) = t**3 - 4*t**2 - 4. Let j be s(l). Sort j, 3, 45 in increasing order.\nAnswer: j, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 2*p + 19*p + 7*p - 7*p + (-2 + 8 - 2)*(3*p + p - 5*p))*(-2*p + p**4 + 2*p).\nAnswer: 17*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6 - 3 + 12*q**2 - 4 - 1 wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-12)*a**(1\/7))**(31\/3))**0)**(-39) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*c**3 - 119*c**3 + 240*c**3.\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a kilometer in meters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5 = -3, 3*a = 4*d - 63308. Round a to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*f + 3*q, 23*f - 2*q = 20*f + 8. Solve 6 = 3*y, 8*c = 4*c - y + f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -104773*r**4 - 681*r**3 + 122*r**2 + 57576*r?\nAnswer: -2514552*r - 4086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -104*h + 628. Calculate y(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d - 2. Let o be m(-2). Solve -4*l = -0*l - o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24368526 a multiple of 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/((-31306)\/199220)?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(4*sqrt(3)) + 1.\nAnswer: sqrt(5)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14608218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keejjekgekjjhhkgk. Give prob of sequence jg.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*t + 7 - 74*t**2 + 238*t**2 - 78*t**2 - 78*t**2.\nAnswer: 8*t**2 + 88*t + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 61238946 to the power of 1\/2, to the nearest integer?\nAnswer: 7826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (-4 + sqrt(128)))*5 - (sqrt(128) + sqrt(128) + -4 + sqrt(128) + 3))**2.\nAnswer: -1008*sqrt(2) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -4217.\nAnswer: -1\/4217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 0.046\nAnswer: -0.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 + y**2 + 3*y - 3. Let h(l) = l**3 + 7*l**2 - 114*l - 652. Calculate the remainder when h(-6) is divided by s(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r = -15*r - j + 9, -2*r + 10*j = 66 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wipie. What is prob of picking 1 e, 1 w, and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1801\/5 + -359. Let w = -5 + 1. Let x = -5 - w. What is the smallest value in x, 2, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 450 (b) -32\/7 (c) 251\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, x: 5, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 200390175*d**3 + 3*d**2 + 75*d + 80786 wrt d.\nAnswer: 1202341050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115682 to the power of 1\/2, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqqjqqljqqqqoqqllol. Give prob of sequence oojj.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from iciiyiycc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*(sqrt(130)*-1 + sqrt(130)))\/sqrt(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 + 152. Calculate the highest common factor of i and 792.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**3 + 4*s**3 + s - s**3)*(-572*s - 483*s - 54*s).\nAnswer: 2218*s**4 - 1109*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7440 * 0.1\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 518939*w + 2 + 507351*w.\nAnswer: -11588*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -19, 5, 6, -126, -1 in decreasing order.\nAnswer: 6, 5, 4, -1, -3, -19, -126","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**4\/b*b**(-5)*b*(b*b\/(b**8*b)*b)\/(b**7\/b) assuming b is positive.\nAnswer: b**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 326*x**5 + 206*x.\nAnswer: 6520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let w(c) = 51*c**2 - 151805. Calculate a(w(m)).\nAnswer: -51*m**2 + 151805","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 388387 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1184?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -39592700 rounded to the nearest one hundred thousand?\nAnswer: -39600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505 = 78*i + 204 - 1721 - 474 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -63*h + 61*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52563 + 53183 = 37*k. What are the prime factors of k?\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 86*14\/8*4\/14. Factor k**4 - k + 85*k**3 - k**2 - 41*k**3 - j*k**3.\nAnswer: k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**5\/2 + 8*y**4 + 29*y**3\/2 + 10*y**2 + 2*y = 0?\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (6 + -4 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -522, -3137, -7390, -13287, -20834?\nAnswer: -30037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-10 + 1568\/80)) + 6\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-210)\/24*(-92)\/2070*-252\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1\/((l*l**(1\/7))\/l*l))**(-1\/50)*(l*(l*l\/(l*l**(-1)*l*l))\/l)**32\/((l\/l**6*l)\/l**(-1\/2)) assuming l is positive.\nAnswer: l**(613\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11953, -23958, -35951, -47932, -59901, -71858, -83803?\nAnswer: -95736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-1 + (-2 - -4)). Let s be h\/1*-6 - -2. Solve 4*v = -r - 11, 0 = 4*r + v - 3*v + s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -101*s**2 - 28*s - 1. Calculate k(-2).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139333.3 weeks to milliseconds.\nAnswer: 84268779840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*p - 24 = 0, -4*p = 4*q - 2*p - 24. Let c(u) = q*u**2 - u - 5*u**2 + u. Let i(w) = -w**2. What is i(c(d))?\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*f + 257*f - 32*f + 179*f)*(-12 + 9 + 29*f - 4*f).\nAnswer: 11900*f**2 - 1428*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 - 3*f**3 + f**3 + (f**2 + f**2 - f**2)*(-f - 4 + 4) + 493*f - 493*f + 88*f**3 as w + u*f + k*f**2 + b*f**3 and give b.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3589860 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*k + 5*c - 27, 38 = 3*k - 5*c. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 69\/21 - (-8)\/(-28). Calculate the greatest common divisor of 6 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 8 = 18*p. Let v(g) = -34*g + 3. List the prime factors of v(p).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002654996 to seven dps.\nAnswer: 0.0000265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 69*a + 1625. Calculate x(-24).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 24. Let r = 4 + h. Is 7\/7 + 254 + r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-45) + 16\/9. What is the third derivative of -h*c**3 + 5*c - 5*c - 3*c**2 wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1460 - 1453. Solve o - 5*z = -15, 0 = -2*z + d + 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 6 - 5 - 17 + 3*d + 13*d. Let i = -36 - -62. Calculate the remainder when l(-13) is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*y = 154 + 101, 5*y = -5*v + 320. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*p = -72*p - 1680. Let n = 338 - p. Let k(f) be the third derivative of f**5\/60 + 5*f**4\/24 - f**2. Let r(h) = 2*h. Give n*k(t) - 5*r(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 26*v - 51*v + 23*v. Let a(j) = 2*j + 28. Determine p(a(z)).\nAnswer: -4*z - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71.2? (a) -3\/17 (b) 0.3 (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6008727 and 6831?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 82, 9\/4, 4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 11*p**3 + 5*p**2 - 3*p - 1. Let t be n(1). Suppose t*z = -2*z + 5306. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 39 + 37)*(5*k - k - 2 + 4*k).\nAnswer: -160*k + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3\/7, 0.429, 0.1, -35, -1 in descending order.\nAnswer: 2, 0.429, 3\/7, 0.1, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46604 rounded to two dps?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 83 - 66 - (-1 + 13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 2. Let m(d) = 0*d + 5 - 3*d + 2*d - 8*d + d**2. Let o be m(9). Solve -o*v + j + 10 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a + 180 + 150 = -32*a for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m - 114. What is k(38)?\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -3)\/(21\/9 - 2). Let r(q) be the second derivative of 5*q**4\/12 - q**3\/2 - 5*q**2\/2 - q. Is r(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.9 and -461.\nAnswer: -459.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 66 - (-1146 - -1040)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.2, -0.067, -0.3, 4?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 0 + 3 + 2 - 65*u. Let p(f) = f**3 + 3*f**2 - 3*f. Let s be p(-4). Is l(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164973 and 97282?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 26. Suppose -v*h - 12 = -8*h. Let z be 3 + (3 + 1)*h. What is the highest common factor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1743 - -2731. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -48*q**2 - 866*q - 35. Let p be c(-18). Let l(r) be the second derivative of 5*r**3\/6 - 3*r**2\/2 - r. Give l(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (0 + sqrt(7))) + sqrt(7) + 0 + -3)*-2.\nAnswer: -2*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1505*g + 2336?\nAnswer: 1505","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 + 39*m**2 - 17*m - 116. What is t(-20)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l**2 + 73*l + 37. Let h(q) = 212*q. Give u(h(s)).\nAnswer: 359552*s**2 + 15476*s + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202315715.\nAnswer: 5, 7, 173, 33413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (7 - 4)) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -304*f**2*q**2*z - 26*f**2*q*z**2 - 6*f**2 - 2*f*q**2*z - 2*f*z**2 - 385949*q**2*z**2 + 191*q**2*z wrt z.\nAnswer: -52*f**2*q - 4*f - 771898*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73*v**2 - 596 - 272 - 26028*v + 26033*v wrt v.\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1242.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/786 and -71\/66?\nAnswer: 8646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 858026786*-1.\nAnswer: -858026786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1075*g**2 - 845046*g + 845046*g)*((3 - g - 3)*(2*g - 2*g**2 - 2*g) + 2 - 2 - g**3).\nAnswer: 1075*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7127 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -6.4. Let p(u) = u**3 + u**2 + 2*u + 3. Let j be p(-2). Let l = -13 - -14. Which is the nearest to y? (a) 1\/3 (b) j (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 4 - 11)*(g + 13*g - g).\nAnswer: 130*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.5 (c) -1 (d) -4.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 380082 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-143))\/((-15)\/55)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 6849. Let d(l) = 2*l + 134. What is d(m(g))?\nAnswer: 2*g**2 + 13832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00273465826 rounded to 6 decimal places?\nAnswer: -0.002735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 98696 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -6*j + 178. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*h**3 - 8456513*d**3*h + 2*d**3 + 39*d**2*h**3 + 2*d**2*h**2 - d**2*h + 10*d**2 - 12820 wrt d.\nAnswer: -6*h**3 - 50739078*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30325305.\nAnswer: 3, 5, 409, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -425.122 (b) 2 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 25*i)*(2 - 5 + 2)*(0*i - 2*i + 0*i).\nAnswer: -50*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/((b\/b**12)\/b*b)*b**7*b**(-8)\/b**(-1\/2) assuming b is positive.\nAnswer: b**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-7))\/t**(-2)*(t**1)**(-6\/25) assuming t is positive.\nAnswer: t**(269\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 27*x + 54.\nAnswer: 3*(x + 3)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 c, and 1 n when four letters picked without replacement from {c: 1, f: 3, u: 1, t: 3, i: 3, n: 2}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w\/(w\/(w\/w**(-1\/19)))*((w*w**(-1\/2))\/w)\/w*(w**(1\/3))**(-3\/8) assuming w is positive.\nAnswer: w**(217\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 753228365 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 162\/(18\/(-2))*-3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 12:36 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adwlall. Give prob of sequence law.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1587b (base 14) to base 15\nAnswer: -10e28","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 52, 184, 430, 826, 1408?\nAnswer: 2212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*v + 10, -3*x = v + 69 - 94. Solve -x*z + 0*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72526?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1 - a + 3*a - a. Let p be 40\/(-8) + (-4)\/(-1) + 2. Let z(g) = -2*g**2 - 7*g - 4. What is p*z(r) + 6*h(r)?\nAnswer: -2*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 89, 4.28 in decreasing order.\nAnswer: 89, 4.28, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z. Let d(o) be the first derivative of -o**4\/12 + 35*o**2 - 59. Let b(c) be the second derivative of d(c). Determine -3*b(l) + 8*g(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 2:25 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -227 - -226.9. Let a = 23.3 - 23. What is the nearest to s in 5, a, 10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 4304832.\nAnswer: 4304832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-102) - (-49721)\/119. Calculate the greatest common factor of z and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4))**48 assuming s is positive.\nAnswer: s**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3041 is divided by 338.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1832*b**2 - 357*b**2 - 19788*b**2 - 1289*b**2 as a*b + l*b**2 + u and give l.\nAnswer: -19602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 4*a + 4*a)*(-173 - 50 + 49).\nAnswer: -348*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/(-21) + (-8)\/(-28). Find the common denominator of (m\/(-192))\/((-2)\/((-24)\/(-9))) and (111\/18)\/((-7)\/9).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.034 in -0.1, -2, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 4)\/(1\/2*-3). Calculate the remainder when 6 is divided by z\/(-4)*(-6 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147961, -30, 4 in decreasing order.\nAnswer: 4, -30, -147961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 7:28 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14786 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2110010232 (base 4) to base 2\nAnswer: 10010100000100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/(-56)*35\/((-2450)\/1512)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/7 - -1*((-568)\/(-56) - 10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 37 = -g + 536, -2*g + 3*z = -977. Calculate the highest common factor of g and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 20\/9 (b) -2 (c) -0.69 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -2*l - 2*v, -13 = -3*l - 5*v. What are the prime factors of 80 - -485 - (l + -1)?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 744804 and 396?\nAnswer: 8192844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + 24)\/((-2)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.1048 and -1.\nAnswer: -6.1048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15046073 is divided by 373.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-6 - (-4 - (6 - 10)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r**2 + 2*r**2 - 6*r**2)*(0*r + r + 0*r) + 8 - 9*r**3 - 8 + 983 - 42*r**3 - 983 + 4*r - 2*r**2 as d + h*r**3 + i*r**2 + g*r and give h.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - j, 14*j = 12*j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 14\/85, -0.4, 5?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = b - 51. Suppose 0 = b*t - 21 + 3. Solve -4*w - 21 = t*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23611001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = 2*y - 193. Let r(f) be the first derivative of -6*f + 3\/2*f**2 + f**y - 8. Let r(d) = 0. Calculate d.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 0)\/(18\/(-12828)). Let l = t - -1227. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30078\/3803 + 2984223\/3498760. Let r = l - -13\/115. What is the common denominator of ((-36)\/(-264))\/((-20)\/14 + 2\/2) and r?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -14 + 2. What is the common denominator of 2 + 1 + (220\/l - -3) and 43\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 4. Let f(b) = b - 6. Let y be f(-4). What is the units digit of a(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-309)\/(2*(2 + (-20)\/8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v - 8 = 0. Suppose -a - 2*g - v = 0, 0 + 3 = -3*g. Let f(r) = 3 - 4 + 1 - 2*r**2. What is f(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -79*o - 75*o - 72*o + 69*o**2 - 79*o - 2 + 302*o. Give m(-1).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqjz when four letters picked without replacement from jqzqz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.0312677us?\nAnswer: 0.000000017187795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h = -16*h - 1818. What is the remainder when h is divided by 59?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 123099 = 4*t, -w - 2*t + 14514 = -10101. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-98)\/(-1))\/((-266)\/(-133)). Is b != 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14.276601 and -2266754.\nAnswer: -2266768.276601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 0*r + 31\/3*r**3 - 41\/2*r**2 + 32. Find the second derivative of q(o) wrt o.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 768 = 2*m - 8*m. Let h = -1153\/9 - m. Let p be 10\/12 + (-1)\/6. What is the second smallest value in h, p, 15\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**2 + 77 - 36 - 41.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.715 + -81.\nAnswer: -80.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165557810 and 30305.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((15 + -23)\/(10\/3))\/(30\/(-5175)). Calculate the highest common factor of 54 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqiqqqqqqqqqqqqqqq. What is prob of picking 1 i and 1 q?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**4 - 76*m**3 - 336*m**2 = 0?\nAnswer: -12, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 3*w**2\/2 + 10. Let p(u) = 5*u. What is a(p(r))?\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**4 + 3*u - u**4 - 4*u - 2*u**2 - 1 to c*u + d + v*u**2 + n*u**4 + t*u**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182222829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 581515314 to the power of 1\/2, to the nearest integer?\nAnswer: 24115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let z(w) = 30*w**2 - 23. Calculate z(q(g)).\nAnswer: 30*g**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25084.22ms to microseconds.\nAnswer: 25084220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1540, -6116, -13740, -24406, -38108, -54840, -74596?\nAnswer: -97370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 534260592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 + 76*v - 29. Let z be k(-20). Suppose -z*h = -19*h - 9344. Are 293 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 38 - (-23 - (-11 - 8))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 10 - 10. Suppose v = 4*s - s - 12. Suppose -732 - 544 = -s*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three twentieths of a meter?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 19 = -31. Does 2 divide (15\/3)\/(207\/(-105) + k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13020 + 120?\nAnswer: 13200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 7 = -p, p - 66 = -3*p - o. Solve 18 - 15 = 5*d - 2*c, d + 4*c + p = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 569\/9 - 3167\/36. Let k = 9 + -13. Let r(a) = a**2 + 4*a - 1. What is the common denominator of u and r(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -9*p - 18. Let x be y(-2). Let v = -1002 - -1002.3. Let u be 7\/1 - 4\/2. What is the smallest value in v, -5, x, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84487.54m in kilometers?\nAnswer: 84.48754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -5*m**2 + 0*m - 13*m**5 - 5\/2*m**6 - 55\/3*m**3 - 95\/4*m**4 - 19. Let q(k) = 0. Calculate k.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**4\/30 - 4*x**3\/5 - 36*x**2\/5 - 22*x - 3. Factor q(r).\nAnswer: -2*(r + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l\/l**(-21))\/l)**16 assuming l is positive.\nAnswer: l**368","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 5*l - 26 = 0, -5*f + 23 = -1592*l + 1595*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 6:40 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3464*v - 3466*v - 93*v**2 + 313*v**2 - v**3 + 1858*v**4 wrt v.\nAnswer: 44592*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 4, -5\/3, -7620 in decreasing order.\nAnswer: 4, 2, -5\/3, -4, -7620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2133 is divided by 2127?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = -7*w + 5*w. Suppose 5*y - 1928839 - 15821161 = w. What is y rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q + 48. Let w be s(-4). Sort 114, -1, w in decreasing order.\nAnswer: 114, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g. Suppose 4*m - 14 = -2*j, -2*m + 0*j - 18 = -4*j. What is the units digit of p(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846 is divided by 39?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1688\/192 - 6\/2 and 13\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a - 1. Suppose 5*f + f - 180 = 0. Suppose -3*b + 6*b - n = 10, -a*b = 3*n - f. Sort -5, b, 4.\nAnswer: -5, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 52*l + 84. Let f be ((-8)\/(-1))\/((-4)\/16). Let q(k) = 8*k + 13. Let c(s) = f*q(s) + 5*a(s). What is the derivative of c(z) wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 0.3, 180, -3\/4.\nAnswer: -3\/4, 0.3, 1, 2, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29585517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 - 36\/(-24). Let p(r) = 12*r**2 - 80*r**3 - 24 + 23*r + 79*r**3 - 4*r**a. Let z be p(10). Solve -c - c - z = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -458 + 468. Solve x + f = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 - 26*h - 13. What is s(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 62. Which is the closest to d? (a) 1\/2 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (14 + (-37 - -14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 102\/17)\/((-14)\/(-196))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 436662 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 906 - 1813\/2. Is t equal to 2\/561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1753 (base 8) in base 10?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 13*x + 5. Let n be u(13). Let r = -256 + 1531\/6. Which is the closest to n? (a) 0 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17627519751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1485 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 222, 360, 532, 750, 1026?\nAnswer: 1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*o**3 - 8*o - 8*o**3 + 6*o - 11*o wrt o?\nAnswer: 90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u + 3*u - u**2. Let y(j) = -28093 + 28093 - 3*j. What is g(y(w))?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 39*l**3 + 4*l**2 - 2*l - 5. Calculate the remainder when m(2) is divided by 47.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341013223 to the power of 1\/4, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -846 + 8401\/10. Calculate the common denominator of w and (2\/12)\/((-4)\/105).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8\/4155 - -11887\/12465. Calculate the common denominator of y and -43\/99.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 7*p - 3. Let s(c) = 8*c. Let h be s(-2). Let m = 22 + h. Let g be n(m). Solve -g*o = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqhyqyqqqhqq. Give prob of picking 3 q and 1 h.\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1101450307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(8) + sqrt(32) + sqrt(8))*1 + (sqrt(8) - (-1*sqrt(96))\/sqrt(12)))\/((sqrt(396)*-1*4)\/sqrt(11)))**2 + -3.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 0*h**7 - 1\/168*h**8 + 0*h**6 + 0*h**4 + 0*h + h**2 + 0*h**3 + 0 + 1\/30*h**5. Find the third derivative of v(t) wrt t.\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31993 + -22722. What are the prime factors of w?\nAnswer: 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y\/(y*y*y**9)*y))*y\/(y*y*y\/y**(-5)*y))**(-2\/35))**4 assuming y is positive.\nAnswer: y**(128\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 1. Let r be v(-2). Suppose 3*k - o - 2*o = -45, -2*o + 72 = -r*k. Let m be 111\/21 - (-4)\/k. Let d(s) = -s**2 + 4*s + 3. Determine d(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 + 8*a**2 + 2*a - 4. Let z be n(4). Solve -z*w + 15 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 18 + 24 + (6 - -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18271, 7, -164.\nAnswer: -164, 7, 18271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 12*o**3 - 9*o**3 + 3*o**3.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -214 - 276. Let c = 178 + r. Calculate the highest common divisor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18886, -18882, -18878, -18874?\nAnswer: -18870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5409493 is divided by 49.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpy when three letters picked without replacement from {v: 3, s: 2, y: 3, q: 3, p: 5}.\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -b + 3*r, -20 = -b - 8*r + 3*r. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 31\/11 - (-20)\/110. Let o be (12\/8 + -2)*0. Sort o, w, 1 in increasing order.\nAnswer: o, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -14 - 7, 86*h - 26 = 87*h + 4*f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 7 + 3 = 0, -5*p = 2*u - 2827. Let b = 4975 - 2827. Suppose -b = -11*d + u. Is 42 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*q = 0, -2*b + q - 6 = -4*q. Let 54*z - 6*z**3 + 47*z**b + 44*z**2 + 2*z - 83*z**2 + 32 = 0. Calculate z.\nAnswer: -2, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2\/79, -15, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, k: 1, d: 3, l: 4}. Give prob of picking 1 l and 1 k.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1 = -4*y + 16, 2*y - 4*o = 14. Suppose 5*v + 5*f = -0*f + 430, y*v - 3*f = 470. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/51)\/(8\/(-36)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3*1)\/((-30)\/60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 = 3*u - 787. Is 8\/(-24) + u\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 3*x**2 + 4*x + 3. Let o be -3 - (4 - (3 + 0)). Does 2 divide z(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -137, -200, -261, -320, -377, -432, -485?\n\"Answer: c**2 - 66*c - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 7*c**2 - 2*c + 2. Let k be y(7). Let s = -79 - -47. Let b = k - s. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 0*x + 4*t, 0 = 3*x - 2*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 16. Let t be u(-12). Let z be (1 - t) + -3 + 12945. Is (-4)\/18 - z\/(-27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - 29. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 16. Sort -1, y, 5.\nAnswer: -1, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/9)*w)\/(w**(4\/7)\/w))\/((w*w**(-1\/4)\/w*w)\/(w\/w**(-3\/10))))\/(w**(-2\/7)*w*w\/(w*w**(2\/5)*w)*(w\/(w*w**(-2\/7)))**(-2\/97)) assuming w is positive.\nAnswer: w**(475729\/122220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -48, -95, -142, -189, -236?\n\"Answer: -47*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 5, 9, -5, 3 in descending order.\nAnswer: 9, 5, 3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 24 = i - 0*v, 5*i - 123 = -2*v. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 = 5*b - 352. What is the remainder when b is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + ((-2)\/6 - 10\/15). Let k be 5 - (-6)\/8*c. Suppose 3*n - 12 = -4*z, -k*n - 15 = -0*n - 5*z. Round n to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42028000 to the nearest one million.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35671.34 millennia in years?\nAnswer: 35671340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, u: 1, g: 1, j: 5, w: 3, p: 1}. What is prob of picking 1 u and 1 w?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**2 + 91*s + 31. Let q be u(-23). Let x be ((-32)\/1)\/((-1)\/27). What is the greatest common factor of q and x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 2913521220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 89*h**3 - 6*h**2 - 5. Let x(f) = 268*f**3 - 16*f**2 - 14. Determine -8*r(j) + 3*x(j).\nAnswer: 92*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 97657 and 1680.\nAnswer: 23437680","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.1, 3\/2, 1 in descending order.\nAnswer: 3\/2, 1, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67544 - 39936. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -2*a**2 - 3\/20*a**5 + 0*a**4 + 0 + 0*a + 0*a**3. Let w(g) be the third derivative of g**5\/30 - 5*g**2 + 2*g. Give w(i(d)).\nAnswer: 162*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 7*s + 4. Let i be b(7). Suppose 0*q - 2*q = 3*a - 29, 0 = 5*q + 3*a - 50. Which is greater: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2815247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-980)\/560)\/(-14*1)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 226, -4, -3, 3, -1, -2.\nAnswer: -4, -3, -2, -1, 3, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3508.168 hours in milliseconds?\nAnswer: 12629404800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -536, -534, -528, -518, -504, -486, -464?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3962)\/3396 - (1 + 6\/(-4)). Is i > -279\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-5))\/((-2)\/(-10)). Let x = 26 + -41. Let v = x - w. Solve -o - o = -8, o = -v*z + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -16 + (-1 - -10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a century?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*c**2 + 138*c**2 - c + 4*c**2 + c.\nAnswer: 193*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -38, -317, -1084, -2585, -5066?\n\"Answer: -41*w**3 + 2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1167.39 + 1271.3978. Let z = j + -104. What is z rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + 2*k + 2*k)*(0*k**2 + 4*k**2 - 2*k**2)*(1 + 3 + 9)*(230 - 230 + 25*k) in the form r*k + g*k**4 + d*k**3 + z + f*k**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 46*o**3 + 6800*o**2 - 10984*o - 5464. Let y(q) = -30*q**3 - 4533*q**2 + 7322*q + 3643. Let l(j) = -5*p(j) - 8*y(j). Factor l(s).\nAnswer: 2*(s - 2)*(s + 228)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -112, 2\/9, -1.85, -5, 1?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 246367238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) 5524 (b) 0.4 (c) 35.5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, -4, -1, 4 in ascending order.\nAnswer: -7, -4, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -236 + 49 + 44*n + 7*n - 63. What is the hundreds digit of w(26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49376 is divided by 1404?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 11849648.\nAnswer: -11849648.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -5*b**3\/6 + 34*b. Let t(x) = x + 2. Let z be t(5). Suppose -z - 9 = 2*g. Let u(c) = -14*c. What is g*d(q) + 3*u(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40*(3 + 0 + (-7 - -3)). What is the common denominator of 1\/(-3)*474\/f and -109\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 1 + 2 + (0 - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7*a - 4536 = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n*n*n*(n**(5\/12)*n)\/n*n*n*n*n*n*n)\/n)\/n)**(-5\/18)\/(n**(-29)*n**14\/n))**(-1\/27) assuming n is positive.\nAnswer: n**(-2951\/5832)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147539.104169 + 2.\nAnswer: 147541.104169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 175649*k**6 - 20184*k**2 - 2*k - 5 wrt k.\nAnswer: 21077880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 43, 50, 45, 22, -25, -102, -215, -370?\n\"Answer: -f**3 + 14*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 8*18\/(-3)*(-6)\/9.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a6 + -1?\nAnswer: 3a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, -3, 831, -2, -4, 12 in descending order.\nAnswer: 831, 12, 2, -2, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -240 * -12.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 14. Let h be c(-8). Sort h, 3, -2 in increasing order.\nAnswer: -2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aed when three letters picked without replacement from hlhfhfhfdfddfefaffdf.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 2*t**2 - 6*t + 4. What is h(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s + 67 = -5*b, -3*s + b = 36. Let m be (1\/(-3))\/(6\/(-270)). Let n = s + m. Calculate the highest common divisor of 14 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9537*b + 28519*b + 46 - 9491*b - 9494*b.\nAnswer: -3*b + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4\/7 - 4390*q**3\/7 - 3052758*q**2\/7 - 650276570*q\/7 - 647228200\/7 = 0 for q.\nAnswer: -895, -404, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2 = -22. Let q(l) = 3 + 2*l + 5*l - i*l. Let o(h) = -2*h + 5. Give -3*o(p) + 5*q(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01455 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 1. Let o(z) = -40*z - 35. Calculate -2*o(q) - 70*p(q).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**4\/24 - 5*m**3\/6 - 5*m**2. Let u = -4 + 15. What is the units digit of c(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.337 + 0.063. What is the second biggest value in l, 3, 5, -358?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/2 of a meter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4339 + -13?\nAnswer: -14.4339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2*n + 10, h + h - 6 = -2*n. Let v = -10.13 + -8.87. Which is the second smallest value? (a) 3 (b) h (c) -4\/3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**4 + 147405*r**3 - 221*r**2 - 48*r + 1?\nAnswer: -72*r + 884430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 6:58 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 23.\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -21. Let a(z) = -z**3 - 5*z**2 + 14*z + 4. Let v be a(-6). Let x = 40 + v. Which is smaller: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*l**3*o*p + 7*h*l**3*o - 2*h*l*o + 9*h*o*p - 28*l**3*o*p + 30*l*o wrt p.\nAnswer: -h*l**3*o + 9*h*o - 28*l**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 11*j + 12. Let m(o) = -1. Let u(w) = h(w) - 5*m(w). Let t(n) be the first derivative of u(n). Let b be t(-5). Which is smaller: b or -3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1876 + 2965. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 120481 (b) 0.59 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -8 + (-5 - 12) + 22?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 575178 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49.6 - 50. Sort 4, 4\/3, 1, l.\nAnswer: l, 1, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, d: 2, h: 1, t: 6, o: 2, v: 3}. Give prob of sequence vt.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.35288505 from 0.2.\nAnswer: 0.55288505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 4*v = -55. Solve -c = -2*c + 5*g + 16, 5*c = v*g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5274 is divided by 1755?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3465*p + 306 = -3499*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -355 - 0?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4382*r + 79*r**4 - 4358*r + 172*r**4 - 5 + 5)*(2*r + 0*r - 3*r).\nAnswer: -251*r**5 - 24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v + 65 = 0. Let x = -46 + v. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1820 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-4)\/(-12))\/((-2)\/30)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) -46 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*n + 196 = -206 - 713 + 145 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 10. Let c be j(7). Let m be 2\/(c*(-2)\/(-12)). Sort 1, m, 7 in increasing order.\nAnswer: m, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**3\/(j\/j**(3\/8))*(j\/((j\/(j**(2\/7)\/j))\/j))**8 assuming j is positive.\nAnswer: j**(261\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 9:14 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - (-5 - (1 - 8)) - 105. Let r = i - -332. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2127, -4279, -6467, -8697, -10975, -13307?\nAnswer: -15699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*((sqrt(25)*-4)\/sqrt(5) + sqrt(5) + -1 + 1 + sqrt(35)\/(sqrt(7) + sqrt(175)))*-1.\nAnswer: -68*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**2 + b - 5*b**2 - 4*b + 35*b**2.\nAnswer: 40*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13 - 17)\/(24\/30)*(-9 - -3). Solve 4*o + 3*z - 230 = -227, 5*o - 5*z - b = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k + 660. Suppose -33 = -3*a + 3. What is the greatest common factor of k and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 203, -2572 in decreasing order.\nAnswer: 203, 1, -2572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 21. What is the remainder when (4\/3)\/(w\/(-54)) is divided by 3 - (-1 + (0 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 1\/360*k**6 + 0 + 0*k - 1\/1008*k**8 - 1\/315*k**7 + 0*k**3 + 3*k**2 + 0*k**4 + 1\/90*k**5. Let t(c) = 0. What is c?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuuuiuuiiuuiu. Give prob of picking 1 u and 1 i.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a = -8801 + 14849. What is the highest common factor of 4736 and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5859 by 837.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.181101ns in minutes?\nAnswer: 0.00000000015301835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - -180. Suppose 6*x = 13*x - 4*x. Suppose 245*y - k*y - 520 = x. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from {a: 3, g: 7}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-25))\/((-212)\/530). What is the biggest value in 5, v, -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 - -59.89. Let i = 0.11 + u. Let h = 1.6 - 0.6. What is the nearest to h in i, 1, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/10 and -107\/1600.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*z - 12, 9 = 4*j - 4*z - 7. Suppose -2*f + m = -j*f - 582, 3*m = f - 301. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a day in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*t**(-1)*t*t)*t)\/t)**(1\/3)\/(t*t**2)**2)**(-2\/67))**(-3\/23) assuming t is positive.\nAnswer: t**(-38\/1541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 5*d = -27, -2 = -74*l + 76*l - 2*d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.17 - -1.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**4 - 75294*k**3 - 472432191*k**2 + 301176*k + 1889728812 = 0. Calculate k.\nAnswer: -12549, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**5 + 54*u**4 - 282*u**3 + 144*u**2 + 1365*u + 882 = 0.\nAnswer: -1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u**3 - u**2 - u. Suppose 4 = 4*n, n + 143 = -4*l - 0*n. Calculate the lowest common multiple of (4\/2)\/2 - l\/4 and m(-1).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 811 + -920. Let r be ((-17199)\/(-420))\/((-9)\/24). Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1447 or -1445?\nAnswer: -1447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a + 25. Calculate y(7).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -171 - 0?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12055689 divided by -31.\nAnswer: -12055689\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (1 + -1 - (135 + -150)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/9*-3)\/((-504)\/6131916). Round w to the nearest one hundred.\nAnswer: -40600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 + 5*c**3 + c**3 + 6*c**3 + c**2 - c**2 + 8*c**3 - 18*c**3 - 8*c**3 + (-3*c + 3*c + 2*c**2)*(c - c + 2*c) - 3*c**3 + 3*c**3 + 2*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2096848 by -221.\nAnswer: 9488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -499, -2.\nAnswer: -499, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5195670773 + -5195670769.499999893. Let x = 3.71 + -0.21. Let p = l - x. Round p to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 14. Let k = 0 - b. Sort -2, 3, k in ascending order.\nAnswer: -2, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 252914.\nAnswer: 2782054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 68\/17 + (1 - 1). Let m be ((-72)\/15)\/(-6)*10\/z. Let l be 4\/(136\/(-30)) + 1. Which is greater: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7))**50\/(q\/q**(-2\/9))**42*(q**(-3)*q)\/(q**(-9)\/q)*q*q\/(q\/q**6)*q\/q**(-2\/3) assuming q is positive.\nAnswer: q**(-1028\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48862*j**3*r**2 + 3993*j**2*r**2 + 3*j*r**2 wrt j.\nAnswer: -293172*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5910329 to the power of 1\/2, to the nearest integer?\nAnswer: 2431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/43? (a) 1 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 5*o = -m - 109995, 4*o + 21996 = m. Round m to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 - 35. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(104)*6)\/sqrt(8)*1)**2 + (3 + (sqrt(1053) + -2)*1)**2.\nAnswer: 18*sqrt(13) + 5266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by 8578\nAnswer: -26\/4289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4 = 2*b. Let w(h) be the second derivative of 0 + 1\/20*h**5 - 1\/3*h**4 + 1\/6*h**3 + 0*h**2 - 89*h. What is w(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51 or -2.6?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 2*j + j)*(3 + 5 + 4) + (-2 - 1 + 1)*(-5*j + 4*j - j).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 12 = -48*y. Let o(r) = 109*r**2 - 4*r - 2. Calculate o(y).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 3*n = 85. Suppose 2*j - 4*j + 3*u = -377, 4*j + 5*u - 743 = 0. Calculate the highest common factor of j and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8697674 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**3 - 2*o**2 + 3*o - 1. Let q be u(2). Suppose -4*s = -7 - q. Suppose -2*n + 30 = n. Calculate the highest common divisor of n and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q*q**(4\/3))**17*q**(-7)*q*q*((q\/(((q**(-2\/43)\/q)\/q)\/q*q))\/q)\/q)**19 assuming q is positive.\nAnswer: q**(212534\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*l + 54*l - 182*l + 14 + 61*l - 14.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.65 or -40?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 6.86833.\nAnswer: 6.86833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1496166 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119370 by -23874.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2 + 33*i - 2*i**2 - 33*i. Let p(t) = -1030*t**2. Calculate p(k(z)).\nAnswer: -1030*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*f + 4*f, -3*f + 7 = -2*m. Solve 5*p = m*a + 4, -3*p + 5*a + 3 = 2*a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 3024*g + 12045*g - 2992*g - 3021*g - 3008*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c = 8. Solve -3*k - 9 = g, -g - c = 3*g + 4*k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**3 + 7*o**2 - 15*o. Differentiate k(r) wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**5 - 414*v**3 + 31*v + 20 wrt v.\nAnswer: -20*v**3 - 2484*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k. Let d(i) = -3*i + 42. Suppose -n + u = 6, -2*n + 13 = 5*u - 10. Let l(v) = n*p(v) + d(v). Let s be l(17). Solve -4 + s = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 20*x - 5. Let c be n(-13). Let g = -71 + c. Solve 3*u = 5*a - g, 0*u + 2*a = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442894399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*j - 267 - 414, 0 = 5*j + m - 673. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 11*g + 5. Let p be f(5). Suppose 1808 = -27*d + p*d. What are the prime factors of d?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4*z - 4, 4*z - 1 = 2*r + 31. Let t be 4\/10*(81 + r). Solve 2*h + t = 5*j, -3*h + 2*j + 0*j - 23 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 13, u: 1, c: 1, g: 2}. What is prob of sequence gjg?\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(2 - 5*d + 4*d + 3*d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z - 6. Let p be w(-4). Suppose -5*g - 1 + p = 4*r, -4*r = -g + 25. What is the smallest common multiple of 3 + r\/1 - -3 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*r = -184, -317 = -5*a - 2*r + 11. What is the remainder when 446 is divided by a?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 333*w**2 + 23. Let o(i) = -111*i**2 - 8. Give -6*h(c) - 17*o(c).\nAnswer: -111*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 352947 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + b**2 + 3*b**4 + (29 - 29 + 6*b**2)*(6*b**2 - 6*b**2 + 6*b**2) as g*b**3 + q*b**4 + d + p*b + a*b**2 and give q.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11861.\nAnswer: 29, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35242*n - 23459 with respect to n.\nAnswer: -35242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 9*i**2 + 13*i + 111. Give d(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15392)\/(-74980) - 10\/25. Let h = -74016309\/37490 - v. Let c = h + 1967. Find the common denominator of -109\/20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35785.\nAnswer: 5, 17, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-75))\/((1968\/(-60))\/4).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 2*m + 3. Let y be l(-2). Suppose 15 = -0*k + 5*k. Let n(r) = -r - y*r + k*r. Let f(u) = 2*u. What is f(n(v))?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10847 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1481583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, 847, 8, 4 in decreasing order.\nAnswer: 847, 10, 8, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 = 5*f - 2*s, -f + 3*s - 65 = -s. Let k = -22 - f. Find c, given that -2*c**3 - c + 38 + c**4 - k + 3*c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 248, 390, 542, 704, 876, 1058?\nAnswer: 1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13555367 is divided by 380.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in minutes?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 35, 28, -13, -100, -245, -460, -757?\nAnswer: -1148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5 + 200737?\nAnswer: 200742.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -666, -649, -632, -615?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 820*k - 824.\nAnswer: 4*(k - 206)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 9*d**2 + 9*d - 14. Determine r(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -60. Let h be 3 - (-1)\/(2\/254). What is the greatest common factor of h and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19))*3 + sqrt(133)\/(sqrt(28)\/sqrt(4)).\nAnswer: 3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 73*a**9\/60480 - a**8\/10080 + a**6\/720 + 17*a**5\/60 + 18*a**2. Let k(c) be the third derivative of x(c). Does 9 divide k(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*r - 14 = 310*r - 3*p, 2*r + 4*p - 14 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10*3\/(-3) + -4. Let h(d) = -d**2 + 8*d - 9. Determine h(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -131.18, -2.66, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.07056322 to 3 decimal places.\nAnswer: 9.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-180)*8\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204 - -206 - (-2 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1800 + -1794. What is the closest to -14 in -1, g, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 3*o**2 + 9*o + 12. Let t be q(-5). Let c(r) = -2*r + 36. Let f be c(t). Solve -l - 2*l = -f*i - 8, 0 = -i + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/6 and 73\/47550?\nAnswer: 47550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*u - 0*o - o, 3*u - 39 = 3*o. Solve 0 = -u*f + 6*f - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-12)\/840*-5\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -28. Let p(l) = -17 + 2*l + j. Let v(n) = -8*n**2 - 32*n - 32. Let g(b) = b + 1. Let u(t) = -32*g(t) - v(t). Give p(u(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.59 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2. Suppose 1 - 9 = -f. Let x(i) = -2*i + f*i - 7*i. Determine y(x(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412 = 2*w + 4*y, 4*w + 0*y = -4*y + 808. Suppose 3*s - f + w = 6*s, 4*f - 272 = -4*s. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 474 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -0.08061?\nAnswer: 4.08061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -3. Let a = 9 + -8.95. Let r = -5.05 + a. What is the nearest to -0.1 in r, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 2:34 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3879 divided by 8.\nAnswer: -3879\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 173*l**3*n**2*s - 12*l**3*n**2 + 3*l**3*s*t + 4*l**3 - l*t - n**2*t + 147*n*s*t - 2*n*t wrt n?\nAnswer: 346*l**3*s - 24*l**3 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 474, 1754, 3886, 6870, 10706, 15394?\n\"Answer: 426*h**2 + 2*h + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-27)\/12 - -3)*45\/(-27). Which is the nearest to -4\/9? (a) -4 (b) 2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 - -11) + (3 - 1). Let t = n + -13. Solve -5*z - 3*k = -10, -2*k = 4*z + 3*k - t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(63) - sqrt(378)\/sqrt(6)*2) + 5)*-2 - (3 + 4 + ((sqrt(6300) + -4 - sqrt(6300)) + sqrt(6300) - sqrt(6300))))**2.\nAnswer: -156*sqrt(7) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 761*p = -8*z + 758*p + 91, -5*z = -p - 54 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 72816, -16, -0.1.\nAnswer: -16, -0.1, 4, 5, 72816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 2214*z + 24488. Calculate l(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -35. Let p = -10 + a. What is the biggest value in p, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**13\/z*z)*z*z\/(z\/z**(-8)) assuming z is positive.\nAnswer: z**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05109km in meters?\nAnswer: 51.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + -1. Suppose 4*t = -4*b + 4, -4*t - t = 0. Suppose -2*q - 5*d = -3*q + 6, 4*q - 5*d = -6. Sort a, b, q in decreasing order.\nAnswer: b, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -7*v - 22, -62*k + 4*v = -67*k - 29 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 2016156.\nAnswer: 2016153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**7\/1960 + q**6\/280 + 5*q**3\/3 - 11. Let i(m) be the third derivative of n(m). Factor i(a).\nAnswer: -3*a**2*(a - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3, -36, -99, -186, -297?\n\"Answer: -12*n**2 - 3*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 - 8*j**2 + 11*j. Suppose 4*w - 45 = 7*y - 8, 32 = 5*w - 4*y. Give v(w).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122989555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83958877 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6069*m - 397392 = 21369 for m.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 11) + (-16 - -51). Solve 25*g = s*g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*r = 10330 - 9754 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45980*m + 45985*m + g + 19, 76 = -9*m - 4*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137074 is divided by 341.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30272.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + -1 - 0) + (100 + -35 - 45)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 179086 and 5506668.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 1. Let o(r) = r**3 - 9*r**2 + 7*r - 9. Let i(z) = -2*c(z) - o(z). Determine i(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 + 8 = 0. Suppose -6*k = -w*k + 44. Let j = k - -39. What is the common denominator of j and -29\/17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from {x: 2, h: 3, p: 5}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5034 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.72 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375.96 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1378600 rounded to the nearest ten thousand?\nAnswer: -1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 2*w**2 + 2*w + 1. Let v(s) = -4*s**3 - 15*s**2 + 5*s - 2. Let x(q) = -v(q) + 3*z(q). Determine x(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1248.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 9. Suppose 18 = x*c - 0*c. Suppose 5*r - c = v - 0*v, -v = -3*r - 4. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, b: 9}. Give prob of picking 3 b.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000079487581 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -2\/3 (b) 1\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 12. What is the nearest to n in 0.4, -0.1, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from tttttrrr?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 592 divided by -8.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 q, and 2 e when four letters picked without replacement from eejjreeeeteqehh.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 280 + -1657\/6. Calculate the common denominator of y and -15\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 9:59 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + 41 + -4 + -20.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4139 + -117.1?\nAnswer: -4256.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2 = -58. Suppose 3*w = -3*y + y - h, -3*w - 28 = 4*y. Is (-82)\/w + (-9)\/18 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 474181?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -14*c**3 + 16*c + 16. Let y(r) = -r**3 + r + 1. What is -80*y(s) + 5*z(s)?\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 19*u**3 - 4 + 2.\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9ed9 (base 16) to base 10.\nAnswer: 40665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2637*l. Let o(q) = -1186*q + 2. Calculate a(o(s)).\nAnswer: -3127482*s + 5274","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 191.0025 nanograms?\nAnswer: 0.1910025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 2:47 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 241, 4, -3, 1943.\nAnswer: -3, 4, 241, 1943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1222393?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -439*j**2 - 466*j**2 - 144 - 531*j**2 + j + 144 to c*j + k + t*j**2 and give t.\nAnswer: -1436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 - w**4 - 2*w**3 + (0 + w + 0)*(19*w**3 + 230*w**3 + 14*w**3) to z + x*w + f*w**4 + t*w**3 + m*w**2 and give f.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -27. Let b be 2 + (-2 - (-8 + 5)). Let c(q) = -7*q**2 + 2 + q**b - o*q + 32*q. What is c(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 0 + 0*a**3 + 0*a**2 - 26*a - 1\/12*a**4. Let z(w) = 80*w**2. Calculate z(t(p)).\nAnswer: 80*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32128 or 32133?\nAnswer: 32133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -218 in 0, 0.2, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 23. Which is the closest to 3? (a) -3 (b) x (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.2. Let x = 20.5 + -21. Which is the nearest to p? (a) x (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 21157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**7*l*l*l**(-6))\/(l**(4\/9)*l**(1\/2)))**(-10\/13) assuming l is positive.\nAnswer: l**(-365\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2 = -2. Let d(h) = h**2 - 2 + 6*h - 4*h - 1. List the prime factors of d(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + i - 8 = 0, 5*n + 7 = i + 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2698514.9 * 5\nAnswer: 13492574.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*c**2 - 4*c**4 - 29*c + 135*c - 8*c**3 - 51*c - 23*c = 0. What is c?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**2\/9 + 35438*j\/9 - 35440\/9 = 0.\nAnswer: -17720, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, 6 in descending order.\nAnswer: 6, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*j**2\/3 - 1134164*j\/3 + 486078.\nAnswer: -2*(j + 81013)*(7*j - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 7*p - 28. Suppose 0 = -4*d + p, 2*i - d + 10102412 = -i. Let o = -7267470 - i. What is o rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1906034201?\nAnswer: 269, 7085629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1973 divided by 6\nAnswer: -1973\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 945 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*l + 13*l, 17*r - 2*l = -34 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2. Let w(h) = 19*h - 29. What is j(w(d))?\nAnswer: 722*d**2 - 2204*d + 1682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 519.3 - 496. Let q = -26 + s. Let m = -2.26 - q. Round m to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3.1. Let a = -0.101 - 0.299. Do a and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 627*t**2 - 6 + 5.\nAnswer: 627*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/45243 and 49\/361944.\nAnswer: 361944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + 2*p**4 + 0*p**3)*(-2*p + 3*p - 4*p) + 2*p**4 - 2*p**4 - 5*p**5.\nAnswer: -11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 311 times 32\nAnswer: 9952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.541333us to seconds.\nAnswer: 0.000003541333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 5664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/45 + 1276\/330. Solve -m = -2*t + 4, b*m + 0*t - 2*t + 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -4424.\nAnswer: 17696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1741726.9 and -0.5.\nAnswer: 870863.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 28*j - 23*j. Let m(n) be the first derivative of n**j - n + 4 - 8\/3*n**3. Give m(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27\/13 + 991\/546. Find the common denominator of 127\/60 + -13 + 136\/10 and a.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 159*i - 159*i + 30*i**2 + 16 wrt i?\nAnswer: 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**4 + 2*j**3 - 1580539*j**2 - 141269*j - 3?\nAnswer: 24*j**2 + 12*j - 3161078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r**2. Let w(m) = -6*m**2 - m. Calculate w(t(n)).\nAnswer: -294*n**4 - 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-222786)\/(-78))\/((-88)\/(-1144))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -736 - -737. Let n(r) = -r**2 + 3*r - 3. Let j be n(4). Let h = 5 + j. Which is the biggest value? (a) 5 (b) f (c) 0.5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 138 - ((-26)\/(-78) - 14\/(-3)). Is (-14)\/4*(-36746)\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2*i**2 + 14 - 8 + 1.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -62106 divided by 1007\nAnswer: -62106\/1007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttthth. What is prob of picking 2 t and 1 h?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/646710 and 31\/35?\nAnswer: 4526970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-6))\/(4\/18). Suppose v - 5*v = -48. What is the remainder when (36\/2 - 0) + w is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3 = 0, 2*a + 10*m + 0*m - 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z. Let s(r) = -26*r**2. Give o(s(y)).\nAnswer: -52*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j**2 + 2 - 2)*(24*j**2 - 20*j**2 - 77*j**2) as d*j + r*j**2 + i*j**4 + b*j**3 + y and give i.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + a + 13. Let p(m) = -2*m**2 + 2*m + 26. Let c(q) = 3*p(q) - 5*v(q). What is the remainder when 1*5\/2*20 is divided by c(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 12?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 335899, 335888, 335869, 335842, 335807, 335764, 335713?\n\"Answer: -4*b**2 + b + 335902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152 + 54. Let r = 106 + g. Find the common denominator of 29\/r + 23\/(-184) and 10\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 934 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(209)*-2*-2)\/(4*sqrt(22)\/sqrt(2) - ((sqrt(275) - ((1*sqrt(275) - sqrt(275)) + sqrt(275) + sqrt(275))) + sqrt(275) - sqrt(275))))**2.\nAnswer: 1216\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 51.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*w + 21 = 3*w, 0 = -s + w + 9. Suppose 2*z - 25 = -p, z - 3*p - 13 = -s*p. Solve 0 = y + 2*y + 3, -3*q - z = 3*y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**2 - 2449*m + 2070446. Calculate r(-1088).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37.4 or 19421?\nAnswer: 37.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756 is divided by 87.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-4)*(-1224)\/6 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + n + 6*n + (-1 - 4 + 3)*(-5*n + 4*n + 3*n) + 9*n - 3*n + 0*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -296667*-2\nAnswer: 593334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10221 (base 7) to base 15\nAnswer: -b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l**2 + 260 - 260 in the form o*l**2 + v*l + g and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110.999866 - 111. Round x to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/141*1167\/17505?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 556*z**3 + 11122*z**2 - 27*z + 81. What is o(-20)?\nAnswer: 1421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41552 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d25 (base 14) in base 8?\nAnswer: -17605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**3 + 3*p**2 - 2*p - 4. Let u(w) = -11*w**3 + 7*w**2 - 4*w - 10. Give -5*i(m) + 2*u(m).\nAnswer: 3*m**3 - m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*o = -1856813, -3*o + 2320970 = 20*g - 15*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 11*w - 29. What is y(-14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**4\/8 + 13*q**3\/6 - 77*q**2\/4 - 1089*q\/2 - 355. Factor j(k).\nAnswer: (k - 9)*(k + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -2*z**3\/3 - z**2\/2 + 12*z. Let m(o) = 9*o + 2. Let y(w) = -13*d(w) - 6*m(w). Let n = -563 + 566. Determine y(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**4\/2 - 8*t**3\/3 + 11*t**2 - 14. Let w(n) be the second derivative of p(n). Does 8 divide w(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 2\/3*i**3 + 4*i + 0*i**4 + 0 + 0*i**5 + 1\/2*i**6 + 0*i**2. Find the second derivative of b(s) wrt s.\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66010 and 223230?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 2*v - 3. Let l be h(-3). Let s(n) = 5*n - 1. Let r be s(1). What are the prime factors of r + 0 + l + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -6 - (0 + 2 - 22)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12471 - -36677878.3\nAnswer: 36665407.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8335 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -147, -622, -1411, -2508, -3907, -5602?\n\"Answer: x**3 - 163*x**2 + 7*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1544 - 913. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y*y**(3\/11))\/y)*(y\/(y\/(y**5*y)))\/y)**(3\/4) assuming y is positive.\nAnswer: y**(39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-3\/8))\/(k\/k**(-14\/5)))\/(k**(-3))**38 assuming k is positive.\nAnswer: k**(4433\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4*(-9)\/72*-2382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(-2*sqrt(20)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37, 227, 551, 997, 1553, 2207, 2947?\n\"Answer: -2*q**3 + 79*q**2 - 33*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -591 = -58*w + 87*w - 127 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -3)\/(3\/(-27)). Suppose w = -2*i + 15. Suppose 0 = -45*z + 43*z - 5*g - 15, 3*z = -3*g. Solve 3*k + i = -2*f, z*f + k + 1 = -0*k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38847 and 7571787?\nAnswer: 1689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*(sqrt(209)*-2)\/sqrt(11))**2.\nAnswer: 68400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 7565*v = 7568*v + 12, -250*v - 1765 = -5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 85.\nAnswer: -4\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 8*t**3 - 30*t**3 + 11*t**3.\nAnswer: -11*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2251207 and -151\/275658.\nAnswer: 13507242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 w when three letters picked without replacement from {w: 5, r: 1, l: 3, a: 3}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/3*2\/35*7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1479*z - 33172 = -111559 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -431 or -1297\/3?\nAnswer: -1297\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25468, -47572, -69676?\nAnswer: -91780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 9. Which is smaller: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/77*(-343)\/(-49)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/2933 and 83\/472632?\nAnswer: 3308424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 144*j - 3405. Determine x(-100).\nAnswer: 995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -311 (c) -2\/19 (d) 0.3 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m**2 - 2*m. Let w(f) = 27*f**2 + 96*f - 2. Give a(y) - w(y).\nAnswer: -21*y**2 - 98*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -77. Suppose 3*n + 10 = -y. Is 11 a factor of (-4)\/n - (-912)\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6160.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19 (b) 1 (c) -5 (d) -1\/4 (e) -24\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208542 is divided by 224?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - a**2 - a + 2. Let q be v(0). Suppose 0 + 8 = q*r. What are the prime factors of r\/(8\/(-6))*-7?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 123.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/6)\/(12\/(-1872)*-108)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 31 = d + 4*d, 0 = -d + l - 1. Solve 13*n**d - 7*n**3 + 2*n**2 - 2*n**3 = 0 for n.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/4)\/(94025\/(-15044)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8753585 millilitres in litres?\nAnswer: 0.0008753585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 57*x**2 + 251*x + 433. Suppose -p + u + 15 = -3*u, 3*u + 9 = 0. What is the smallest common multiple of p and y(-61)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1701525 and 34\/231?\nAnswer: 18716775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + 1010100000001010?\nAnswer: 1010100000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 29 = -5*q, 5*q + 1 = 5*d + 21. Suppose h + q = 2*h. Suppose -3 = 2*u - h*u. Calculate the highest common divisor of u and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 677.0491mg to nanograms.\nAnswer: 677049100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2174 - 1533. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 314*a**2. Let c(p) = 10*p**2. Determine c(d(y)).\nAnswer: 985960*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2354, -8345, -18330, -32309, -50282?\n\"Answer: -1997*n**2 - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -67, -54?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 213714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(5)*-4*6.\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2532*f**5 - 12*f**4 - f**2 - 91951*f.\nAnswer: -50640*f**3 - 144*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0835 and -0.1?\nAnswer: -0.00835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 465*q**2.\nAnswer: -5*q**2*(q + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -22*t**4 - 151*t**3\/2 - 147*t**2\/2 - 22*t - 2 = 0.\nAnswer: -2, -1, -1\/4, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6565107 divided by 3837.\nAnswer: -1711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + i**2 - 2*i - 2. Suppose -2*w - 17 + 1 = -3*s, 2*w + 4*s = -2. What is the hundreds digit of v(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.8 + 11.8. Which is bigger: a or 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-1)\/((-6)\/4))*5\/((-660)\/484)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 6*i**2\/5 + 1414*i\/5 - 2440 = 0.\nAnswer: -244, 25\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2687559 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.3. Let r be 1\/(-5)*160030\/104. Let u = r - -308. Which is the nearest to m? (a) -3\/4 (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -27*s**3 - 4*s. Let b(d) = 3*d**2. Let r(l) = -7*l**3 + 15*l**2 - l. Let a(h) = 5*b(h) - r(h). Give 22*a(k) + 6*v(k).\nAnswer: -8*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 37*l - 66. Let t be z(35). Let s = 572 + t. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 24912*m + 1260108.\nAnswer: 4*(m - 6177)*(m - 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16, -58, -98, -136, -172, -206?\n\"Answer: y**2 - 45*y + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 95537.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1402 and 2.\nAnswer: 2804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/706008 and 62\/794259.\nAnswer: 6354072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 at least -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 14*q - 256. Determine u(24).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b + 61. Let p be i(8). Let v(k) be the first derivative of 2\/15*k**3 - p - 2\/5*k**2 + 0*k. Factor v(r).\nAnswer: 2*r*(r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 2 - 5 + 2 + 4. Let p be b(6). Suppose 60 - 15 = p*o. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyoydyyyoekddkyey. What is prob of picking 2 e and 1 y?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/23)\/g**(-3\/4)*(g*g**(-3\/4))**(-31) assuming g is positive.\nAnswer: g**(-163\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 c when four letters picked without replacement from ccqcffwc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - v - 1. Let m(w) = -16*w**3 - 10*w - 12. What is -12*h(r) + m(r)?\nAnswer: -4*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m - 6*m + m**2 + 384 + 21*m - 384 + 3*m**2 + (0 + 0 - 3*m)*(-2*m + 4*m + 0*m).\nAnswer: -2*m**2 + 21*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3625*l - 64913. What is z(18)?\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.378 + 13.368. Round z to 1 dp.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10798563 is divided by 331?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from vvvvvvvevvvvvvvvvvvv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24002 and 72006.\nAnswer: 72006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16666620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/1 - (-39 - -28). Let x = 5 - 2. Suppose 0*s = x*s - 24. What is the highest common divisor of s and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*c - h, -c = -5*c + h + 13. Suppose -3*j + 47 = -5*l, 2*j + 2*j - 76 = c*l. What is the highest common divisor of j and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308 and 1236872?\nAnswer: 13605592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oeoteqqto. What is prob of sequence qeo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 969?\nAnswer: 15504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 3 - 5*g)*(6*g**2 + g**2 - 2*g**2) as u*g**2 + m + v*g + q*g**3 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - o - 3*o + 2144, -3*o - 5308 = -5*t. What is the units digit of t\/72 - (-2)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) -3 (c) 24 (d) 1 (e) 0.2 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 0 + 1\/540*n**6 + 1\/36*n**4 - 3\/2*n**2 + 2*n - 1\/27*n**3 - 1\/90*n**5. Let j(o) be the first derivative of d(o). Factor j(z).\nAnswer: 2*(z - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 1. Let p(o) = 5*o + 15. Let i = 0 - 1. Let q(f) = i*p(f) + 4*b(f). Determine q(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 704 (b) -1\/5 (c) 0.58 (d) -120\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1701*b + 2 + 83*b - 1 + 2 - b**3.\nAnswer: -b**3 - 1618*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -5, -7 in descending order.\nAnswer: 1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 1:32 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzd when three letters picked without replacement from {d: 2, o: 1, u: 2, z: 1, x: 1, y: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 441*y**3 + 174*y wrt y?\nAnswer: 2646*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q + 136 = 3*p, 2*p = -5*q + 84. Suppose -4*g = 2*w - p, -3*g - 5*w = -19 - 6. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19\/((-2394)\/12) - (-187)\/(-21). What is the least common multiple of (-140)\/(-63) - (-2)\/l and 19?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1928185 divided by 21665.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/o*o)**(-31)\/(o\/(o*o**(2\/7)*o*o))**14 assuming o is positive.\nAnswer: o**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) 0.13 (c) 95 (d) 1\/7 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*(4*sqrt(132)\/sqrt(6))\/(sqrt(96)\/sqrt(3)))**2.\nAnswer: 60*sqrt(11) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2377*l - 2383*l - 2377*l - 2377*l - 2386*l - 2367*l + 14269*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -5 in descending order.\nAnswer: 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*q - 62*q + 12 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-24) + (-2)\/6*-1. Solve 5*p - q = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12499*q - 12645*q + 25162*q - 7.\nAnswer: 18*q - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -198 + 201. Sort 13, u, 1\/3, 1 in decreasing order.\nAnswer: 13, u, 1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, n: 1, t: 10}. Give prob of sequence qqt.\nAnswer: 280\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*z. Suppose 53 = 7*x + 25. Suppose -3*j + 7 = x*k, -6*k + 2*j + 26 = -k. Solve 20 = -k*b - z*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215072 divided by 4136.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9962*b**4 - 2*b**3 - 20*b**2 + b - 594388 wrt b.\nAnswer: -119544*b**2 - 12*b - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {i: 3, z: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1217 - 2491\/2. Calculate the common denominator of v and 121\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**5 - 1710086*y**3 - 4064640*y + 2.\nAnswer: 40*y**3 - 10260516*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.23, -10, 0.3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 13*d**2 + 10*d + 138. Determine y(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*h - 1213*h = 49057 + 21014 + 63451 for h.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 14*k + 7*k = 0. Suppose 8 = 2*v, 7*u - 2*u + 16 = 4*v. Solve 4*g = -5*o - 8, k = o - u*g + g + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r = 5*a - 25, 4*r = 3*a - 17. Let z(q) = q**2 - 3*q. Let p be z(a). Suppose p = -g - 0 + 1. Put -1, 0, g in ascending order.\nAnswer: -1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -11*t**3\/6 + 10*t - 4. Let f(o) = 2*o + 12. Calculate c(f(p)).\nAnswer: -22*p - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431*y**3 - 1292 - 1290 + 5152 - 1279 - 1291.\nAnswer: -431*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -3 - (3 + -1) - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5054 + -5061. Let p(w) = -w**3 - 6*w**2 + 6*w + 7. Give p(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/25)*f)**(9\/5))**(-2) assuming f is positive.\nAnswer: f**(-414\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 27 = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + ((-1 + 0)*1)\/(-1). Let v be (6\/(-8))\/(((-1)\/i)\/4). Suppose 2*l + 2 = -3*y - 4, -12 = 4*l + v*y. Which is bigger: -11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2956 = -3*a, 8*a + 3*u + 3933 = 12*a. Suppose -981*q + a*q - 8781 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v - 10*v + 11*v**2 - 17*v + 4*v - 12*v in the form f*v + g*v**2 + j and give f.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 38*m + 1519. Let s be u(-40). Put -0.5, -598, s in decreasing order.\nAnswer: -0.5, s, -598","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25264500 - -25264500.19000083. Let g = 0.19 - u. Round g to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*t - 199, -4*y + 2*t + 60 = -326. Let p be ((-228)\/y)\/(2\/(-5)). Solve 6 = -2*x + p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-8)*b)\/b*b)**(-12)*(b\/((b*(b**1*b)\/b)\/b))**(-19) assuming b is positive.\nAnswer: b**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 2*c + 1 + 3*c + 0*c. Suppose -5*b + 1 = 3*y - 0, 0 = -y + 2. What is q(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = -3*k + 139. Let s = k + -72. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 8:00 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -508 plus 4179?\nAnswer: 3671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 8*j - 8. Let l be r(6). Let d be l\/(8\/(-5))*-2. Let z = 25 - d. Calculate the least common multiple of z and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-39)*1\/1. Let q be (-1)\/((4\/(-6))\/(-2)) + -5. Let n be (-2)\/q*0\/24. Which is bigger: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -110, -112, -114, -116, -118?\n\"Answer: -2*c - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16766 divided by 166\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 6*h**2 - 2*h + 2. Suppose 5*y + 25 = -25. Let p be (-2)\/y + (-38)\/(-10). Suppose -4*o + 19 = 3*q - p*q, 0 = 2*o + 4*q - 32. Give g(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**5\/60 + h**4\/24 - h**3 - 3*h**2. Let g be b(6). Suppose -2*t - g = -140. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from hndnd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2) + (-59763)\/(-22). Let k = v - 1368. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 1 - 5. Suppose c + 4*c = 2*y - 15, 4*y = 5*c + 15. Suppose -11 = -3*x + a, -x = -3*a - y + 7. Calculate the remainder when x is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13102 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 69. Let z(p) = -p**2 - 3*p. Let b be z(v). Suppose 3*c - 750 - 507 = b. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 16*o - 18*o - 1356 = 0, 15 = -3*o. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-4))\/(9\/(-12)). Suppose 4*r - i*u - 42 = -r, 3*r - 5*u = 29. Suppose r*l - 832 = 32. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -100, 2\/15, 0.1, 0.819, 2\/19, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15846, -15845, -15844, -15843, -15842, -15841?\nAnswer: -15840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1260.1 - 1227.037. Let c = b - 33. Let r = c - 0.0630326. What is r rounded to six decimal places?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, m: 13}. What is prob of sequence oom?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(162) + -1 + sqrt(162)*2 + sqrt(162) - sqrt(162)) - (5 + (sqrt(72) + sqrt(18))\/sqrt(9))*2)**2.\nAnswer: 1218*sqrt(2) + 15187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/556 - 1393\/1668. Let d = 8 + 6. Let w be d\/(-6) + 2\/6. Which is smaller: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366836.\nAnswer: 2, 293, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/(-100))\/(-18)*(-390)\/104.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 3. Find the second derivative of -3*z**5 - 16*z - 3*z**t + 7*z + 3*z**5 wrt z.\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34563208 is divided by 42?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5\/2 - 4343*d**4\/2 + 2281004*d**3 + 167892042*d**2.\nAnswer: d**2*(d - 2206)**2*(d + 69)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -297*k**4 - 17794*k**2 + 3292496?\nAnswer: -1188*k**3 - 35588*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 3560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 621 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 3*o**2 + 46*o - 179. Give k(-9).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1016 - 6167\/6. Let m = -5083 - -40729\/8. What is the common denominator of m and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4263*t + 26*t**2 - 3*t**2 - 18*t**2.\nAnswer: 5*t**2 + 4263*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 952271029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 14. Let v be d(6). Suppose -4*g + 24 = -v*g. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 2:51 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2.5, 485, -3\/4, -45?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(192))**2*4 + (sqrt(3) + sqrt(36)\/(sqrt(24)\/sqrt(2)) + (sqrt(60)\/sqrt(2) + sqrt(30))\/sqrt(10))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -21.58649068468.\nAnswer: 24.58649068468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 13631999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k + 5. Let x be c(1). Suppose -x*y + 48593 = y - 2*w, -y + 4*w = -16201. Let v = y - 4197. Round v to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a9b3 (base 14) to base 6.\nAnswer: -1241441","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(-72) + ((-1288630)\/(-24) - -16).\nAnswer: 3, 17903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((12\/264)\/(2\/(-4)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + h + h)*(0*h - h - 4*h) + 2 - 2*h**2 - 2 + (25*h**2 - 22*h**2 - 16*h**2)*(-3 + 4 + 0) - 1 + 4*h**2 - 9*h + 9*h.\nAnswer: -h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -1342516?\nAnswer: -1342522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7336042 years to months.\nAnswer: 8.8032504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -269\/4 not equal to 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 + -84 + 60 + 65?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -38506656 and -38506663 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umnoaaajnoaoaoa. What is prob of sequence aj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/5 + 260032554*l\/5 - 16904232284940729\/5.\nAnswer: -(l - 130016277)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 252 - 246. Suppose c*l + 5*l = 46937. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 a, 1 s, and 1 q when four letters picked without replacement from ssbbazbzaabqzszasaz.\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -45 - 5?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 15*x. Let k be t(-15). Solve 2*n - 12 = -3*j, 2*j + 4*n + n - 8 = k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -852, -1679, -2506, -3333, -4160?\n\"Answer: -827*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 5a30b4?\nAnswer: -5a30b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269770783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.174 + -1.774. What is the nearest to 1 in -2\/7, -5, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2045277 is divided by 2417?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -19*p - 159. Let v = 9591 - 9599. Give a(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-10) - 12\/(-20))\/(-1). Let c(i) be the second derivative of -5\/12*i**4 + 0*i**3 + 3*i + 0 + y*i**2. Let g(u) = 2*u**2. Calculate g(c(o)).\nAnswer: 50*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/8, 2, -4, -0.1 in decreasing order.\nAnswer: 2, 3\/8, 0, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1333 divide 18960592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88 + 88.147. Let y = l - 0.047. Which is the nearest to y? (a) 3 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + n + 3. Let p = 17 - 17. What is c(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1019 + 669. What is p rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/7))**(-43)*n**(-15)*n*n*n\/(n*n\/((n\/((n*n**(-2\/27))\/n))\/n)*n)*n)**(-1\/68) assuming n is positive.\nAnswer: n**(6115\/12852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 8, 4\/5, -11, -1.02?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1 (c) -16 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1897, 3896, 5967, 8146, 10469?\nAnswer: 12972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o**2 + 3*o)*(-2 + o**2 + 2) + o**4 + 2*o**4 - o**4 + 90*o**2 - 38*o**4 - 90*o**2 + (-2 + o**3 + 2)*(0*o - 3*o + 2*o).\nAnswer: -35*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 20*a**2 + 4. Let n(z) = 1. Let u(i) = -m(i) + 4*n(i). What is the third derivative of u(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1\/7 (b) 4 (c) -10695 (d) -0.1 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 164, 362, 560, 758?\n\"Answer: 198*y - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - u**2 - 3*u**2 + 0 + 0 + (2 + 0 + 0)*(u**2 + 2*u - 2*u))*(-u + 3 - 3).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 325 - 317. Is x smaller than 80\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(((z*z**(-3\/14))\/z)\/z)*z**(-20)*(z\/z**(3\/4))\/(z**(-38)\/z))**(-49) assuming z is positive.\nAnswer: z**(-4403\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18227098?\nAnswer: 2, 43, 211943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 + 15*c - 19. Let a be u(-6). Let s be (-15)\/(-7 - (-7 - a)). Solve -5*h = -10*h + s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(2\/21)\/l*l*l*(l*l*l\/(l\/((l\/(l\/l**13))\/l*l*l*l))*l)\/l assuming l is positive.\nAnswer: l**(401\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122 - w + 155 - 219)*(-w + w - w**4 + (3*w**2 - w**3 - 3*w**2)*(-w + 3*w + 0*w) + 0 - 2*w**4 + 0).\nAnswer: 5*w**5 - 290*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 295891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 42*m**2 + 52*m - 360. What is the remainder when 27 is divided by v(43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) -2 (b) -1\/4 (c) 3\/1226 (d) -7 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1178 divided by -31\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24.1 or 92\/7955?\nAnswer: 24.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 311 - 120. Let c = 196 - b. What is the third biggest value in 0.84, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/11))**(2\/13))**(3\/13) assuming a is positive.\nAnswer: a**(-12\/1859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1130716 is divided by 75.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 681\/7 - 97. What is the third smallest value in -5, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*x = -9, 2*r + x + 0*x + 1 = 0. Which is bigger: r or -31?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2147734 and -107\/50728.\nAnswer: 146045912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*j - 3 = -4, -4 = -4*b + 5*j. Let x be b\/((1 + -4)\/(-3)). Solve -1 - x = -2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 1595 = 2*c - 17*c + 3*c for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1980)\/3*(15\/2 - (-1 + 9)). What is the greatest common divisor of 1485 and s?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -141, -456, -1073, -2094, -3621, -5756, -8601?\nAnswer: -12258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w + 2*w**2)*(3*w + 3 - 3) + 4*w**2 + 5*w**2 - 4*w**2 + 2*w**3.\nAnswer: 8*w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 11*n + 14. Let b be x(12). Let a(s) = -s + 8. Let z be a(6). What is the derivative of 0*r**z - 6*r**4 + 0*r**b + r**4 + 2 wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1088 - 1243. Is 0.1 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453201 (base 7) in base 16?\nAnswer: 3057a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = -16*w - 7*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(8) + sqrt(64)\/(sqrt(8) + sqrt(56)\/sqrt(7)))\/sqrt(4).\nAnswer: -3 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3122198734?\nAnswer: 2, 127, 12292121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262 - 3*q + q + q - 262.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 21*j + 8. Let x be g(-9). Suppose 6*d = 2*d + 3*h + x, -14 = -d - 3*h. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/3 + 184*d\/3 = 0. Calculate d.\nAnswer: 0, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.12 (c) -1 (d) 2 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 2. Let t(m) = -m - 11. Let d(b) = 2*b + 21. Let y(i) = -3*d(i) - 5*t(i). Let g be y(-7). Let j(f) = -2*f + 1. Let v be j(g). Determine h(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134*-143\nAnswer: 19162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32 + f1?\nAnswer: bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 8 = -3*q. Let p be q*(-3)\/(15\/2). Which is smaller: p or -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -589*h + 594*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4.758057ug?\nAnswer: 0.000000000004758057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 36*p**2 - 69*p + 464. What is the remainder when s(38) is divided by 150?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90 * 11.277\nAnswer: 1014.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2646 + 5360. Does 19 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2055*r**3 - 3 - 2575*r**3 - r**2.\nAnswer: -4630*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7093*u - 1000124. Calculate c(-141).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*x = -361*x + 52 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4\/8 - 3*k**3\/2 - 75*k**2\/8 + 21*k\/2 = 0. Calculate k.\nAnswer: -4, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6704, -8664, -11910, -16436, -22236, -29304?\nAnswer: -37634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 4*n**2 - 3*n + 2. Let x be j(3). Suppose -5*z = -x*c - 434 - 2167, -5*c + 10 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3*x*(x*x\/((x**(-2)\/x)\/x)*x)\/x)\/(x**(1\/4))**49)**(-15) assuming x is positive.\nAnswer: x**(135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2*(-3)\/(-2). Let q(s) = -v*s - s + 2*s. Let t(h) = -4*h + 1. Let l(a) = 23*a - 135. Let p be l(6). What is p*q(i) - 2*t(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c. Let w be i(3). Let g(q) = q**3 + 2*q**2 - 5*q - 2. Let t be g(w). Suppose -t*u = -3*u - 191. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 + 0*d**2 + 9*d**2 + 0*d + d**2 + 0*d + (-3*d**2 + 4*d**2 - 3*d**2)*(-1 + 0 + 0).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50246\/24859 or 2?\nAnswer: 50246\/24859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 - 1528219*v - 4584666 = 0. Calculate v.\nAnswer: -3, 1528222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 d when four letters picked without replacement from xxdjddxddddw.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -2. Let k = -3 - t. Let c = -22 + 22. Is c at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-4))\/((-21)\/((-1596)\/95))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 11*i + 11*i + 21.\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 + -12 - (1 - (-1 - -16))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2 - 21854*s + 45004355 = 0. What is s?\nAnswer: -23749, 1895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25935, 103790, 233567, 415266, 648887?\n\"Answer: 25961*r**2 - 28*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + (sqrt(112)*1 + 3 - (2 + -2*sqrt(112) + sqrt(112))))**2 + 3.\nAnswer: -64*sqrt(7) + 462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2640)\/(-7260))\/(2\/(-88)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1297*k*v + 136867*k + 211102*v + 743 wrt k?\nAnswer: 1297*v + 136867","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z - 17228 - 26188. Let y(m) = -z*m**3 - 2*m**2 + 4*m**2 + 9*m**2 + 3*m**2 + 8. Let q be y(-6). Round q to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -220 - 5?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjjjjss. What is prob of sequence jss?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 82017295 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -15 (c) 32.8 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nynynngnngnjjngnnj. What is prob of sequence ng?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5765*k + 272*k + 105*k - 37716 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 4*x, -6*n - 8*x = -3*n + n - 64 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 26 = -g, -3*g - 4 = -2*l + g. Let u be 10\/l*2\/(-10). Which is the nearest to 1? (a) -0.5 (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 5:36 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*f + 23 = -f, -20 = 5*f. Let j be -4*(4\/(-8) - x\/12). What is the highest common divisor of j and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 4*k**5\/5 - 28*k**4 + 1048*k**3\/3 - 1848*k**2 + 4356*k + 88. Find z such that r(z) = 0.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 1, o: 7, b: 5}. Give prob of picking 2 o.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3434637905 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: 0 divided by 41226\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.06 + 166.06. Let f = m + -164.4. What is the second biggest value in -17, 2, 2\/3, f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 30\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-21)\/6*(-9500)\/35?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 11*t - 528. Find the second derivative of 2*p + 11 - t*p**3 + 90*p**2 - 43*p**2 - 47*p**2 wrt p.\nAnswer: -216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -560 + 559.9442. What is n rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -31. Let n = c - 26. Let p = -1 + n. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 203493, 203510, 203525, 203538, 203549, 203558, 203565?\n\"Answer: -w**2 + 20*w + 203474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3436 + 3446. Solve -4*c + y*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44893 * -0.4\nAnswer: -17957.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.956703 rounded to 0 dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 795 - -266. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/4 + 5\/((-100)\/(-215)). Suppose 4*l = 4*q + 6 - s, 0 = 5*q. Let b(o) = o. Determine b(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 1772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-2)\/(-2)))\/((-1472)\/(-5520))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 14 - 6)*(x - 3*x + x + (-2*x - 2*x + 2*x)*(-2 + 1 + 3) + 2*x - 2*x - 2*x + 3 - 3 + 2*x - 287*x + 469*x - 242*x) as t*x + y and give t.\nAnswer: -845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofofo. Give prob of sequence oo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*z + 12 + 32*z - 51 to the form f*z + y and give y.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 37*x - 67. Let m be b(2). Suppose j - 1888 = -m*j. Calculate the remainder when j is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 80975296 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qeq when three letters picked without replacement from keqkqkqqkkkkkkqkqk?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 211693329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7756?\nAnswer: 2, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f + 24 = -96. Solve 2*n = n - f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 16) to base 12.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7160111?\nAnswer: 7, 17, 60169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 12:46 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3797\/7600*2 - 1. Let l be (31623\/(-410020))\/((-20)\/(-838)). Let x = l - z. Is x < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*v - 1498 - 499 - 1037 - 2125 for v.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -180405719*a**3*k**3 - 2*a**2*k**3 + a**2*k + 130*a*k**3 - 17*a*k + 7*k**2 + 29 wrt a.\nAnswer: -1082434314*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -837077, -1674159, -2511243, -3348329, -4185417, -5022507?\nAnswer: -5859599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 + -344. Let w = -255 - z. What is the fourth smallest value in -2\/13, 5, w, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 48 = -15. Suppose -12 = 7*b - q*b. List the prime factors of (3483\/12)\/b - (-15)\/(-20).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140*l**2 - 570*l**4 - 2780*l - 2*l**3 + 293*l**2 + 2*l**3 - 156*l**2 wrt l.\nAnswer: -6840*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3202*l**2 + 8*l - 4. Let z(y) = 3835994*y**2 - 9582*y + 4791. Determine 4791*c(h) + 4*z(h).\nAnswer: 3194*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17710 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 584256889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*h - 2*h + 76 = 0, -5*h + 100 = 2*w. Suppose 0 = 5*a - 10*a + w. What is the greatest common factor of a and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*r**3*y**3 - 2*r**3*y**2 - 50*r**2*y - 2*y**3 wrt r.\nAnswer: -132*y**3 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m = -25. Suppose -m*h + 3*h + 82 = 0. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from nntnt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i**(1\/4)\/i)*i)\/i)**(-3\/13)*i\/i**(-14)*((i\/(i**(2\/15)*i))\/i)\/i)**(15\/4))**20 assuming i is positive.\nAnswer: i**(48605\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/r**2*r*r)\/r)**(-7\/9)*(r*r**(-2\/5))\/r*r**(-2\/19) assuming r is positive.\nAnswer: r**(-1097\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 0*b**2 - 22 + 11 - b**2 - 16 - 13*b. Let s be d(-11). Is -46\/11 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 times -63.964?\nAnswer: -13560.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -29278.32 + -1661?\nAnswer: -30939.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(77)*-3 + sqrt(77))\/(sqrt(28)\/sqrt(36)).\nAnswer: 39*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 7 - 2 + 20*l + (2*l - 2 + 2)*(2 - 1 + 2) + l + l - 3*l + (3 + 0 - 5)*(-4*l + 4*l + 2*l) as n + b*l and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11332370 divided by 34.\nAnswer: 333305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -114362, -457450, -1029262, -1829798, -2859058, -4117042?\n\"Answer: -114362*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 times 451934?\nAnswer: -19885096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25632109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 28912321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (108\/42 + 1)*-1. Let h = 6 - 2. What is the biggest value in -0.5, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = -27*k + 26 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 18 = -u. Let o = 17 - u. Calculate the greatest common factor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10846, 21918, 33112, 44422, 55842, 67366, 78988, 90702?\n\"Answer: -a**3 + 67*a**2 + 10878*a - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124704486 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 o, and 1 l when three letters picked without replacement from flhooplfoooloooy?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 252803\/6990 + 1\/3495. Which is smaller: 36 or i?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1252226 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**2 - 6 + 4*p**2 - 107*p + 94*p. What are the prime factors of t(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from edkdkjzsz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 175 - 133 = -2*n, n + w = -6. Suppose -2*r**2 - 52\/3*r**5 - 4 + 6*r**n + 134\/3*r**3 - 82\/3*r = 0. Calculate r.\nAnswer: -1, -2\/13, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 5:59 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 2*l**3 + l**2 + 3\/8*l**4 + 7 + 0*l. Let v(x) be the second derivative of h(x). What is the derivative of v(u) wrt u?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34445551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/133 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/103688 and 61\/936.\nAnswer: 933192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**10)**(7\/5)\/(v**(1\/9)\/v)**42 assuming v is positive.\nAnswer: v**(154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 222960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -239*q + 4. Let a be f(-1). Suppose -a = -4*u + 269. Suppose 4*b = 3*j + 467, b + 5*j - 2*j = u. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10541332 (base 6) to base 16.\nAnswer: -4f2f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 17*c**2 + 2*c + 33. What is y(-17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*p - 25, -35*p + 2*w = -38*p + 25. Sort 9, -1, p, 2 in increasing order.\nAnswer: -1, 2, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 48150218.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6356.\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 8, w: 3}.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1099001*b**2 - 6282. Let h(m) = 700*m**2 + 4. Calculate 3141*h(a) + 2*z(a).\nAnswer: 698*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2629136?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -11427*u - 167. Let x be j(5). Let r = x + 33902. What is r rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 122 - 22. Let z = p + 13. Let t = 3 - z. Calculate the remainder when 18 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrgrgrrrrrrtrrgrtdr. What is prob of sequence rdr?\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 270\/12*(-3)\/(27\/(-6)). Suppose -5*r + 20 = g, -4*r = -4*g - q - 1. Solve r*z = -4*s + 12, -2*z - 13 = 2*z - s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 10:23 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 14. Suppose -167 = -4*d - f. Suppose -5*x + 3897 = -d. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48\/29 + 307\/203. What is the biggest value in -4, u, -19\/5, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1439 (b) 4\/7 (c) -2 (d) -4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*((-42)\/(-63))\/(1 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19701 and 4378?\nAnswer: 39402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1211343 (base 7) to base 2\nAnswer: 100101101001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 2. Let f be d(-7). What is the closest to -1 in 0.4, 1\/7, f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14917 is divided by 4969.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 12:50 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z - z**4)*(5*z - 6*z - 6 + 1)*(-10 - 13 - 4).\nAnswer: -27*z**5 - 135*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202 (base 3) to base 10.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1478 - -211. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4277*t + 4277*t + t**2 + 73 + (4 + 1 - 3)*(5*t - 5*t - t**2).\nAnswer: -t**2 + 73","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576122635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -5170 (c) 1 (d) -0.2 (e) 2 (f) -22\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1908 divided by 954\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16.1, 0, -13\/21, 5, -4?\nAnswer: -13\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 49.82309.\nAnswer: -99.64618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 330 and 2490?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 836772\nAnswer: 5\/836772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + 1)**2*1.\nAnswer: 10*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -27, -6.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104*l**3 - 2588*l + 2588*l)*(-2 - 3 + 7).\nAnswer: 208*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 91*b - 92*b - 2*z, -2*b = z + 22 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3724 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 6*u**2 - 6*u + 7. Let o be p(5). Suppose 12 = o*d + d, 2*x - 796 = -2*d. Let a = x - 279. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*d - f - 16, 0 = 2*d + 4*f + 2. Let h be (-3)\/12 - (-30)\/(-8). Let j(n) = -4*n**3 - 3*n - 2. Let c(b) = -3*b**3 - 2*b - 2. What is d*c(s) + h*j(s)?\nAnswer: s**3 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-6 - -9) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/14*0)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18035921?\nAnswer: 19, 47, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/11 (b) -1\/4 (c) 4\/3 (d) 117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -16. Let l = g - 9. Let m = l + 36. Which is the second smallest value? (a) 2 (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 122*q**2 - 582*q - 165. Give b(117).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 736495016 to the nearest integer?\nAnswer: 27138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*d + 24*d + 25. What is the closest to -1 in 1, -4, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*h**2 + 33*h**2 + 10*h**2 - 64*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 - 2011086.\nAnswer: -2011086.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l - 4. Let d be f(25). Calculate the common denominator of (d\/4)\/(-114*4\/32) and -19*10*2\/16.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -578960 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176863, -176862, -176861?\nAnswer: -176860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 4. Let r be -1 + k\/(-1) - 4. Let u = 1299 + -1299. What is the nearest to r in u, 0.4, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1, -4, 55, -3, -27 in ascending order.\nAnswer: -27, -4, -3, -1, 13, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15999735 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*x + 300, u + 4*u = -2*x + 469. Is (54\/(-30))\/((-1)\/u) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0.2. Let f = 62 + -188\/3. Let k = -0.3 + 0.2. Which is the closest to k? (a) -2\/7 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15613\/20 + -3077\/4. Let 28\/5*m**4 - q*m**3 - 2\/5 + 3\/5*m + 28\/5*m**2 = 0. What is m?\nAnswer: -1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -754*z - 2957 - 6845 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -21. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**4\/2 - 4*a**3\/3 - 3*a**2\/2 - 53. Let z = -7 - -12. Suppose 0 = z*b - 2*b + 6. Give s(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 25*v - 96. Let m(w) = -w**2 + 12*w + 48. Let j(i) = -4*f(i) - 9*m(i). Let q be j(12). Is 7\/9 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89971\/8 - -11284. Let w = t - 7161\/200. What is the common denominator of -17\/5 and w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*d + 32255*d**2 - 27*d + 32271*d**2 - 64552*d**2.\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1168 + 1201. Solve l - 37 = -q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37507 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/56 and -79\/1044309.\nAnswer: 8354472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -347 + 871. Suppose -k + 407 = -4*k + 2*t, -2*t - d = 4*k. Is (k\/(-21) - 6)\/(2\/246) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*((-5)\/20 + 0) + (-11 - -11))\/16\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 at most 126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -25, -32, -41?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/3, 3, -1.7, 0.1, 2\/5, -0.1488?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -521?\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -340887\/34 - -10026. Find the common denominator of -79\/2116 and k.\nAnswer: 35972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 77. Let b = 37 - k. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1638 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19690514 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: What is the greatest common factor of 18780 and 228918?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2538, 6054, 9570?\n\"Answer: 3516*w - 978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**4 + p**3 + p**2 + p + 1. Let n(y) = 6*y**4 - 15*y**3 - 6*y**2 - 3*y - 9. Let i(o) = 9*d(o) + n(o). Determine z so that i(z) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -0.3, 3, -2\/11, -2.975 in descending order.\nAnswer: 3, -2\/17, -2\/11, -0.3, -2.975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a millennium in centuries?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -3 in ascending order.\nAnswer: -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 8*q**2 + 5194*q + 35280.\nAnswer: -2*(q - 56)*(q + 7)*(q + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Let c(g) = 690715*g. Calculate r(c(q)).\nAnswer: -690715*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**6)\/x)\/x**(-4))\/(x**(1\/3))**27 assuming x is positive.\nAnswer: x**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17521*h**2*i*z**4 - h**2*i*z + 5*h**2*z**2 - 16*h**2*z - 2*h*i*z**2 + 11*h*i + 3*i*z**6 wrt z?\nAnswer: -420504*h**2*i*z + 360*i*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22084 and -51.43.\nAnswer: 1135780.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 35*b = -10*b + 32 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 20 - (0 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**3 + 67*n**2 + 3*n - 76 wrt n?\nAnswer: -6*n + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20462 (base 9) in base 3?\nAnswer: 200112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 22. Suppose 345 = 37*j - 22*j. Calculate the remainder when j is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*l + 293 = 5*z, 3*l - z - 287 = 0. Let b = 58 - 112. Let v = b + l. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 515.257?\nAnswer: 515.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-7)\/d*d**(1\/4)*d**(1\/9)*d**(4\/9) assuming d is positive.\nAnswer: d**(-259\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(200) - (sqrt(200) + 1))**2 - (sqrt(64)\/(sqrt(8) + (3*sqrt(8) - sqrt(8))))**2))*-2.\nAnswer: 70\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-12)\/(-216))\/((-9)\/(-6))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**4\/8 + 3*d**2. Let i(g) = 3*g. Determine r(i(y)).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 30.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -276785 divided by 5\nAnswer: -55357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**3 - l + 1. Let x be (-3)\/((-24)\/(-10) + -3). Suppose 3*y = x*y - 12. What is the remainder when y is divided by n(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(175)*2)**2 + (sqrt(700) - (sqrt(700) + 3*sqrt(700))) + sqrt(112) + sqrt(112) + sqrt(112)*3.\nAnswer: -10*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 15 = -11*i. Suppose -3*b = v - i, 5*b - 4 = -3*v - v. Suppose 4*f + 5*x - 36 = x, b = f - 3*x + 3. What is the second biggest value in f, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 38598.\nAnswer: 115794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 8920 = 4*d, -5*d - 2*b + 14005 = 2854. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-243.1.\nAnswer: 243.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*h - 6*h, 0 = -4*i + 5*h - 12. Let u(y) = y**2 - 9*y + 6. Let a be u(8). What is the remainder when i is divided by (-3)\/(-2) + a\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + 0.1. Let z = 6\/157 - 175\/471. Which is the nearest to z? (a) 0 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67235375*d*w**2 - 406634966*d*w wrt w?\nAnswer: -134470750*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/80 + (-16)\/(-40). Let f(m) = -m**2 - 7*m - 1. Let d be f(-6). Which is the closest to -1\/3? (a) r (b) -0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.34042 millimeters in meters?\nAnswer: 0.00234042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 + 0.1. Let i = -3\/17 - -29\/68. Which is greater: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5114*a + 5137*a - 69. Sort a, -14, -10.\nAnswer: -14, -10, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54964126883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -149 - -52. Let d = 96.942 + c. Round d to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 5:25 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2\/311, 2, -3, -51\/2, 0.1?\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**3 - 2*k**2 + 2*k - 2. Let d be y(2). Let g = d + -20. What is the units digit of g\/2 + (-3 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 263796 or 2110365\/8?\nAnswer: 263796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**6\/120 - z**5\/60 + z**4\/12 - 7*z**3\/6 - 430*z**2. Let i(x) = -3*x**3 - 3*x**2 + 5*x - 15. Determine 2*i(o) - 5*k(o).\nAnswer: -o**3 - o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10784 by 2696.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 299*d - 4. Let f(m) = 1495*m - 24. What is 2*f(c) - 11*g(c)?\nAnswer: -299*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + y. Let m be c(3). Let g = 0 - m. Suppose -1 - 2 + 2*z**3 - 3 - g*z**2 + 6*z + 4 = 0. Calculate z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16990 divided by -2\nAnswer: 8495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5511, -11021, -16529, -22035, -27539?\nAnswer: -33041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/5 + 30*o - 375.\nAnswer: -3*(o - 25)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 437839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - s - 9672 = -0*s, 0 = -4*h + 5*s + 9656. Round h to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2. Let d(p) = 8*p**2. Suppose 0 = -2*u - 14 + 12. Let s(f) = u*d(f) + 10*l(f). Let r(a) = -35*a. Determine s(r(z)).\nAnswer: 2450*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, -85, -321, -791, -1573?\n\"Answer: -13*z**3 + 11*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - -6. Suppose 6*d - 15 = d, -2*d + 81 = -5*s. Let h = -11 - s. What is the least common multiple of n and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 = -0*f. Suppose f*r = -2*r + 12. Let b = r + 0. Solve 0 = -b*o + 2*o + v - 2, -4 = -o - 5*v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991747500 a multiple of 2125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 136747 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -3*n**7\/14 - 22*n**6\/5 - 261*n**5\/10 - 45*n**4 + 81*n**3\/2 - 58*n. Suppose w(v) = 0. What is v?\nAnswer: -9, -3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 + 5*j + 2*j + 0*j + 5 + 10*j**2 - j**3. Let d be t(7). Which is the second smallest value? (a) -0.3 (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7720868, -7720870, -7720872, -7720874, -7720876, -7720878?\n\"Answer: -2*c - 7720866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 9 = 17*s. Let p be 33\/(-11) + (2 - s). Let j = -116 + 172. Calculate the greatest common divisor of p and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -108*i**3 + 12*i**2 - i\/3.\nAnswer: -i*(18*i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 242 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 23 (c) 325 (d) -16 (e) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -20*x - 37. Let a be y(-2). Suppose a*o + o - 17 = -5*d, d + 2*o = 7. Which is smaller: 2\/679 or d?\nAnswer: 2\/679","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q + 3. Suppose d + 4 = -d. Let h be f(d). Let c = h - -1. Solve c = -5*b + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270614?\nAnswer: 2, 269, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9218140 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47655 is divided by 64?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 831407 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 11*j**2\/2 + 5*j - 4. Let l(m) = m + 1. Give c(o) - 5*l(o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -18b6?\nAnswer: -18b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 2*u - 3. Let q be k(5). Let w = q - 22. Let i = w - 5. Let c(a) = a**3 - 4*a**2 - 5*a. Calculate c(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from {c: 1, o: 2, z: 1, u: 4, m: 4, p: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -14. Suppose i*r - 27 = 3*r + 4*p, 2*p = r - 11. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -873.9 - -873.2. Is s greater than 0.296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + -3 + 9 + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*l - 4*g, -4*l + 34 = 5*g + 9. Suppose -2*c - 2*k = 3*c - 719, -15 = l*k. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 9 (c) 0.6 (d) -19 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w - 546. Calculate p(44).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123300921 by -625893.\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 11*l = 27. Let q = l + -6. Factor -86*j**q + 4*j**2 + 4*j**5 + 6*j**4 + 98*j**3 + 6*j**4.\nAnswer: 4*j**2*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l**3 - 4*l**2 - 55*l - 18. What is d(-4)?\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2975.21 rounded to the nearest 10?\nAnswer: -2980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14675510 rounded to the nearest one hundred thousand?\nAnswer: 14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3\/5 + 81*q**2\/5 + 366*q\/5 - 216 = 0. What is q?\nAnswer: -20, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y = -425. Suppose y = 6*f - 5*f. Is f 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 5:18 PM and 11:56 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27449944 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.4 - -0.6. Let v = 10 + -18. Let w = v + 8. Which is the closest to w? (a) -4\/3 (b) 0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8698 + -17395\/2. Factor 0*w**2 + 0 - 1\/4*w**4 + x*w**3 + 0*w.\nAnswer: -w**3*(w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k = -33*k + 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 14*u - 2. Let s(c) = -13*c + 2. Determine 6*b(z) + 7*s(z).\nAnswer: -7*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800692 is divided by 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-187)\/(-136)*6\/(-11)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n + 8. Suppose 0 = -n*p + 3*p + 4*x - 44, 120 = -5*p - 5*x. Let f = 63 + p. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8 = m - 0, 4*m - 36 = -5*j. Let u(s) = -j*s**2 - 7*s**2 + 15*s**2 - 5*s**2. Let d(h) = -2*h - h + 3*h + 12*h**2. Determine u(d(y)).\nAnswer: -144*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 310992?\nAnswer: 1554960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9191609 + 24.2?\nAnswer: 23.2808391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -2\/5, -4, -2.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1308868 is divided by 2121?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 24*i = -2345. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 2. Let f be a(0). Suppose -17*l = -18*l + f. Let h(x) = 0 + 6 - 7*x**l + 5*x**2 + x + x**2. What is h(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - r - 11 = -2*r, -2*u = r - 5. Suppose -64 = -u*z - z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -66, -227, -506, -909, -1442, -2111?\n\"Answer: -t**3 - 53*t**2 + 5*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7960)\/(-796)*(-1)\/10*2\/(-66)\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(320)*5 - (1 + -1*sqrt(320))) + -5 + (-2*(-5 + sqrt(320)))**2 + -4.\nAnswer: -272*sqrt(5) + 1366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)\/(sqrt(27)\/sqrt(3)) - -4*(sqrt(1008) - sqrt(63))) + 2.\nAnswer: 2 + 39*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -542*a. Let m(c) = -24*c. What is x(m(g))?\nAnswer: 13008*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 12 = -2*d, 391*d - 390*d + 2*u + 7 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 151 - 23 = -32 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 786663816 a multiple of 3415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18465343 divided by 4.\nAnswer: 18465343\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 20290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 79*b**4 - 7*b - 111. Let m(z) = 39*z**4 - 4*z - 56. Let v(c) = -7*m(c) + 4*p(c). Differentiate v(a) with respect to a.\nAnswer: 172*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) -47 (c) -4\/7 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14661 from -4.\nAnswer: -14665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + -3 + 2 + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8351402734?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -2.5023538718728.\nAnswer: -7.5023538718728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, m: 2, o: 6, u: 3, g: 2}. What is prob of picking 3 o and 1 c?\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1077 + 1062 + (71 - (7 - 11))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -366 - -1?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i. Let p(y) be the first derivative of -2*y**2 + 328*y + 123. Calculate p(d(o)).\nAnswer: 8*o + 328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -123, -22, 89, 216, 365?\n\"Answer: h**3 - h**2 + 97*h - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34 - 3 - 2)*(84 - 31 - 21)*(7*k + 6*k - 11*k) to c + v*k and give v.\nAnswer: 1856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -31\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1266667 to the nearest 10000.\nAnswer: -1270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 38*p**3 + 6*p**2 + 14*p + 32. Let b(u) = 14*u**3 + 2*u**2 + 5*u + 11. Calculate 11*b(n) - 4*z(n).\nAnswer: 2*n**3 - 2*n**2 - n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -339 and -2.83 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105884834 to the nearest integer?\nAnswer: 10290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 5 - 16 - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvhfvhfffvfv. What is prob of picking 2 h and 1 f?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3585 - 3268. Calculate the remainder when i is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.1, 3\/248347?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/14 - 111\/(-21). Let w(c) be the first derivative of 3*c**2\/2 + 5*c - 17. Let i(t) = -4 - 2 - 2*t - 2*t. Calculate d*w(x) + 4*i(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -22. What is the closest to d in -1\/2, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 4*g, -4107*f + 3*g + 70 = -4109*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 2*z + 6, 3*l - 3*z = -8*z + 15. Let i(q) be the first derivative of q**2\/2 + 4*q + 12. Let x be i(-4). Solve l = -x*p + p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*m = -70, 0*m = 2*s - 3*m + 36. Let h = s + 24. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/10*(-120)\/(-12). Suppose 3*w + 15 = -0. Let o = w - -9. Solve 0 = o*s - 6*s - z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(6\/22) + 2. Suppose -11*w + 0 - 99 = 0. Let t = w - g. Solve t = -2*x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1409, 2777, 4131, 5471, 6797?\nAnswer: 8109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7752 is divided by 565.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.05 + -5.1. Let v = u - -0.05. Put -3\/2, 0.2, v in decreasing order.\nAnswer: v, 0.2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 137*r - 133*r - 13 = 0, 0 = 5*r - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + h + 0 + 5)*(-3 - 9 - 5) in the form y*h + l and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38971.\nAnswer: 38971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123*2.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66.3465 + 397626.\nAnswer: 397559.6535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 811, 72, -5, 5, 7 in descending order.\nAnswer: 811, 72, 7, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1120.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3152 = -4*h, -24*h + 26*h = -10*l + 1540. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(((-2)\/(-36))\/(304\/1824)*-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 1692 = 62*f - 31997. What is the highest common divisor of 38 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2929 - -2.1.\nAnswer: 1.8071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 8 = -3*j - s, -8 = -4*s. Let t be -4 + (-4)\/j*9. Solve -t*f = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -u + 332, 19*y - 338 = 17*y + 2*u. Calculate the remainder when y is divided by 60.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 117163*d**3 + 7*d - 6. Let x be b(4). Suppose 5*k - 17501546 = x. What is k rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/35 + 54\/10. Let u = 18 - 11. Suppose -1 = -s - 4*t + u, 0 = 3*t - 3. Solve -z + v*l = 4, 5*l = l + s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 28 = -5*y, -j + 3*y = -3*j + 21. Suppose -b + 5*b + 4*g = 0, 2*b + g = j. Solve b*n - 2 = 4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 26*g + 5. Let t(v) = -9*v - 2. Calculate -6*n(f) - 17*t(f).\nAnswer: -3*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -219117478 times 0.4\nAnswer: -87646991.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8488 divided by 4.\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 4*s - 2 = -4, -s = 5*b - 23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 8, 8 = -4*y + k - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 13*w**2 + 38*w - 37. Suppose -5*m - b = -71, -4*m - m - 4*b = -59. Is 3 a factor of p(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -17, 4 in increasing order.\nAnswer: -17, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 818*g + 9 - 9 + 9 - g + 4 - 4 + (1 + 1 - 1)*(2*g + 2 - 2) as v + l*g and give l.\nAnswer: 819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -42. Calculate the smallest common multiple of p and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -268, 685, -121, 2, 0 in increasing order.\nAnswer: -268, -121, 0, 2, 5, 685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*q**3 + 11 + 16*q**2 + 8 - 28 + q.\nAnswer: -92*q**3 + 16*q**2 + q - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5032*a*r + 2894*r with respect to a.\nAnswer: 5032*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14352777 and 52626849?\nAnswer: 157880547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1 - 0 - (-102000)\/60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -29*f**3 - 27*f**2 + 96. Let s be o(41). Round s to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3378 + -121733\/36. Calculate the common denominator of 103\/156 and q.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021212200 + -1022202010?\nAnswer: -2121121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 34 = 2*p - 0*p, -3*p + 51 = 4*u. Is (u\/8)\/((-9)\/(-348)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 + 77. Let v(x) = -x**2. Let q(u) = 2*u**2. Give m*v(a) - 5*q(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 33237*l - 299138. What is q(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (177\/(-15) - -13)*5. Calculate the greatest common divisor of 352 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1))\/((-20)\/40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 14*c - 4. Suppose 4*t - 124 = -5*q, 0 = 3*q + q - c*t - 120. Let g be (-589)\/(-3) - 3\/9. Calculate the greatest common factor of q and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8855 + -8852. Let k be ((-45)\/(-5))\/((-1)\/(-16)). What is the highest common factor of k and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 93.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 7.3. Let i = 4 + c. Let r = i + 3.2. Which is bigger: 1\/4 or r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -45*x**2 + 5*x**4 + 214*x + 122*x**3 - 110*x**2 - 230*x + 18*x**3 - 274*x = 0.\nAnswer: -29, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20997342, -41994685, -62992028, -83989371, -104986714, -125984057?\nAnswer: -146981400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 1\/(2\/(-12)). Let g = -5 - f. Calculate the remainder when 2 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, e: 6, b: 2}. Give prob of picking 1 o and 1 e.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 0.5. Let i = l - -0.5. Put -0.4, -1, i in decreasing order.\nAnswer: -0.4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 = k. Let c = k + -2. Suppose u**3 + c*u**3 + 2*u**2 + u**3 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2. Let x(k) = -107741*k**2. Determine o(x(u)).\nAnswer: -34824369243*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6379.506 meters in millimeters?\nAnswer: 6379506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0269 + 37.281\nAnswer: 37.2541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/44 - 3591*9\/693?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let f be ((-1)\/2)\/(6\/189). Let m = f - -16. Which is bigger: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2 = -2*k, 2*k + 51*m = 46*m + 22. Let j be 122\/5 - 2\/5. What is the greatest common factor of k and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/7? (a) 1 (b) -60 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 2*z = -12, -6*u + 28 = -3*u - 4*z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - -1. Which is the third smallest value? (a) z (b) 4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 1 + 1\/2*x**4 + 0*x**2 + 2\/3*x**3 + 0*x. Find the third derivative of c(a) wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -235.36128132 - -233.88561. Let q = i + 5.4756696. Let a = 4 - q. What is a rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22621*k**2 - 13279*k wrt k.\nAnswer: 45242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n*s**2 - 9*n*s - 7*s**2 - 36*s + 2 wrt s.\nAnswer: 2*n - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.0565 - 2.695. Let z = x + -1.47. What is z rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 930 and 449430?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12580 divided by -5.\nAnswer: 2516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16872 + 2565. Is 33 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**5 + 292*b**4 - b**3 + 21*b + 120.\nAnswer: -60*b**3 + 3504*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1314 and 1095.\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2685103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 282, -1, 5\/6, -3, 3.\nAnswer: -3, -1, 5\/6, 3, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 51 = 5*y - 22, 3*g - 61 = y. Find the first derivative of -g + 32 - 47 + 89*n**2 wrt n.\nAnswer: 178*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 765690 - 494227. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + sqrt(192))**2 + 3 + sqrt(192) - (2 + 1 + sqrt(192))**2).\nAnswer: 36 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l + 6. Let h be ((-492)\/(-20))\/3 - 5\/25. Suppose 17 = h*q - 31. Let z(r) = r + 1. Calculate q*z(o) - b(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1556 divided by -9\nAnswer: 1556\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 44556 and 44674 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02376 and 0.2768.\nAnswer: 0.25304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 6:51 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.15 at most as big as -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -283?\nAnswer: -3\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -0.16 (b) -1\/3 (c) -5 (d) 2 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (101\/9 + -13)\/((-51)\/459)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 6*q + 18. Let g(t) = -5*t - 15. What is the units digit of g(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63030 and 1320.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**13*(a*(a\/a**(3\/8))\/a)\/a*a**11*a**(6\/11) assuming a is positive.\nAnswer: a**(2127\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 554301.62 and 5.\nAnswer: 554306.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -249 - -245. Which is the nearest to 1? (a) -29 (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -331 + 635. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 19. Suppose -2*w - 2*k + 6 - 2 = 0, -4 = 3*w - 2*k. Suppose 4*b - 12 - 4 = w. Solve -g = -b*t + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1650)\/200*(-12)\/(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3 = 18*g - 19*g, 5*k - 15 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.749 + -3.549. What is the smallest value in 3, -118, s?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 245 - 277. Let z be 52*2*(-4)\/n*28. Calculate the greatest common factor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3 - 2*b**3 - 2 + 24*b**2 + 389*b - 393*b + b**3. Let r be p(20). Let j = r + -15133\/10. Calculate the common denominator of 65\/6 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124427 is divided by 61883?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -147385 + -3165.4054.\nAnswer: -150550.4054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w = 2*m - 3042, -m - 5*w + 1525 = 0. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10*4)\/(((-30)\/(-21))\/((-11725)\/(-141169))).\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -9. Suppose 20*a = 18*a + 38. Suppose 15*d - a*d + 20 = 0. Solve d*n - r + 0 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-279)\/(-155))\/((-36)\/(-8)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (7 - (2 - -3)). Let l(n) be the third derivative of g + 3*n**2 + 0*n + 1\/24*n**3 - 1\/240*n**5 + 0*n**4. Factor l(d).\nAnswer: -(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6214.688 to the nearest ten.\nAnswer: -6210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 125 and 22?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3*p = -17, -d + 9 = -2*d - 4*p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101032201 (base 5) to base 2.\nAnswer: 1100011101101101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 66*o + 535. Calculate v(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1674860 and 414?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 12 - 1)*(-3 + 3 + 7*s).\nAnswer: -84*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69334 and 44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*c**2 - 180*c**2 + 86*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-380)\/(-16) - (-2)\/8. Let j = w + -14. Let a be j\/(-5)*1\/9. Sort a, -0.4, 2 in increasing order.\nAnswer: -0.4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 112*k + 2*k**2 + 56*k + 55*k + 3*k**3.\nAnswer: -k*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d*f**3 + d*f**2*u - 42792*d*f + 15*f**3*u - 8*f**2*u + 2*u wrt u?\nAnswer: d*f**2 + 15*f**3 - 8*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, q: 3}. What is prob of sequence qqn?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89070873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*p + 251*p = -5*t + 20, -5*t - p = -12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 253.35 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -1)\/((-2)\/(-6)). Suppose -16 = -5*f - t. Suppose f*n - 1905 = -n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -384\/7 + 55. Let z = 758 + -754. Which is the biggest value? (a) y (b) 0.2 (c) z (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-1 + sqrt(12) + sqrt(12))\/(sqrt(486)*3 - sqrt(6)).\nAnswer: -sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2*-13*(-5)\/390 - 124\/(-12)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 633 and 422.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -19. What is the remainder when (-2 + (-24)\/(-10))\/((-3)\/(-195)) is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h. Let n(c) = 0 - 26*c + 19*c + 1. Let m = 203 - 191. Let g be ((-20)\/m)\/5*3. What is g*n(k) - 5*x(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -12116*k - 104. Let r(x) = 1154*x + 10. Determine -5*h(i) - 52*r(i).\nAnswer: 572*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 20, 51, 98, 161, 240?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -123.951 + 124. What is d rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*sqrt(200)\/sqrt(4)*5*-5*6 + 0) + 0.\nAnswer: 22500*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000148576 rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3, 2, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o - 162. Let m be r(-9). Let k be (4\/(-3))\/(24\/m). Let g be (-2)\/(-8)*12\/27. What is the third smallest value in g, k, 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, 4, -15 in decreasing order.\nAnswer: 9, 4, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -447 - 21.26\nAnswer: -468.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2164 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, x: 6}. What is prob of sequence xx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 140260 - 5?\nAnswer: 140253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*k - 215*k - 12*k = 2328 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11575 + -7a18?\nAnswer: 4658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (561*t - 4177676 - 233*t + 4177684)*(4 - 2 - 4).\nAnswer: -656*t - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-9) + (-4)\/(-6). Let y be ((-8)\/6)\/((-42)\/(49\/7)). Which is the closest to 1? (a) -2\/9 (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 3:56 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253319 and 1419.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 699495, 699494, 699493, 699492?\n\"Answer: -t + 699496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 + 856*s + 457960.\nAnswer: 2*(s + 1070)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-16) - 28\/224.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (0 + -7 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 705, 2049, 4677, 9231, 16353, 26685, 40869, 59547?\nAnswer: 83361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 12*m + 21*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6195*q = 5986*q - 5033 + 3661 - 6988 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) -2 (c) -17 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 6 - (-8 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 553486 or 1660462\/3?\nAnswer: 1660462\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 239887716*n. Let p(i) = -i. Give j(p(c)).\nAnswer: -239887716*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2*-9*(-6)\/324*9\/19).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhggghhhhh. What is prob of sequence gg?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1315*b**4 - 9*b**3 + 44*b + 342 wrt b.\nAnswer: -15780*b**2 - 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 152*t - 5 + 1318*t - 108*t + (4*t - 2*t + 0*t)*(1 + 1 + 0) + (-3 + 4 + 1)*(2 - 2 + 2*t).\nAnswer: 1370*t - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -25 - 53. Let i(s) = 9*s - 4. List the prime factors of i(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tcxc when four letters picked without replacement from txhccohx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 655 = 16*c - 145. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k - 3. Let b be (0 + 2)\/(2\/24). Suppose -2*p = -4*j - 5*p + 38, -b = -2*j - 4*p. Let v(u) = -11*u + 5. Give j*r(z) + 5*v(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2902\nAnswer: -1\/1451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**4 - 31*p**2 - 4 + 2 + 29*p**2 - 9*p**4 in the form t*p**3 + s*p**2 + l*p + w + n*p**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392493 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -2*k - 65. Let d = 113 + k. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 876 divide 45421476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-1320))\/(3\/(-11))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, r: 12, a: 1, l: 2, s: 1}. What is prob of picking 2 x?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 132\/((-166)\/(-20) - 8). Let u be 9 - x\/50 - (-36)\/(-5). Let i(l) = 3*l**2 - 3*l - 6. Let w(j) = 5*j**2 - 5*j - 11. Determine u*i(f) + 4*w(f).\nAnswer: -f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -9 + -12 + 4 + -1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 208. Let b(l) = l - 211. Calculate 3*b(d) - 2*z(d).\nAnswer: d - 217","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**2. Let y(d) = 15*d**2 - 33. Let b(r) = -2*r**2 + 4. Let z(v) = 33*b(v) + 4*y(v). Give z(x(f)).\nAnswer: -96*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 + 1 - 3 - 3*a**3 + 3*a**2. Let c = -1 - -4. Suppose -3*z = c*k - 0*z + 3, 0 = -3*k - 5*z - 9. What is i(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/2090914 and -29\/1014.\nAnswer: 1060093398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 - 85. What is the third derivative of 4*p**4 - 6*p**4 - 5*p**2 - 6*p**b + 7*p**2 wrt p?\nAnswer: -192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -1. Let c(v) = -3. Let u(m) = -8*b(m) + 3*c(m). Let d(x) = 8*x**2 + 5*x - 4. Let k(a) = d(a) - 4*u(a). What is the second derivative of k(q) wrt q?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-92)\/(-16) - (-3 + -6)\/36)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (8 + -4) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + 196. Suppose m + 8 = -3*m, -n = -3*z + m. Suppose 36*t + 4*q - 26 = 34*t, -q + 1 = 0. What is the greatest common factor of z and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-11) - (1071\/(-99) + -5). Suppose 2 = 2*m, 12 = 5*s + 18*m - o*m. Factor -4\/9 - 2\/9*d**s - 2\/3*d.\nAnswer: -2*(d + 1)*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*m + 227*m**2 - 150*m + 76*m.\nAnswer: 227*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, v: 1, h: 2}. What is prob of picking 2 p and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = -49*o + 99. Do -3\/668 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 101*w - 102*w - 7 + 14. Is w at least -2\/1261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097349?\nAnswer: 3, 11, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5*5\/9*-3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**4 + c**2 + 12*c**3 - 13*c**3 + 0*c**4 + c to w*c**2 + a*c**4 + y*c**3 + q*c + t and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -13*y - 3. Let d(k) = 13*k + 2. Give 3*d(i) + 2*z(i).\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*f = -4*y + 2, -2*y + 3*f = -3. Solve y*q + q = -4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 570018, 1140032, 1710046, 2280060, 2850074?\n\"Answer: 570014*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) 2\/95 (c) -0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, w: 2, b: 5, h: 7}. What is prob of sequence bh?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 + -48. Suppose -4*y = -3*a + 146, -o = -a + 2*y + 9. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -225?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.76 + 165.76. Let u = 163 - x. Let y = 2.7 - 3. Which is the nearest to u? (a) y (b) 1 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 9:50 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 819 - 815. What is the nearest to -1 in q, 6, -0.07, -3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.03 + -0.03. Let s be ((-18)\/8 - 1) + 3. Let p = -3.8409 + -0.1591. What is the biggest value in s, -5, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 22*m**2 - 46*m + 431. Give r(21).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20793526 is divided by 313?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(832)*-2*-5*-2)**2.\nAnswer: 11980800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 14*o + 10*o = 7, b = o + 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/112 and -19\/2674?\nAnswer: 21392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 821? (a) 351 (b) 8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -143, -216?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46*b**4*l**3 + 12*b**4*l**2 + 41*l**3 - 8*l**2 wrt b.\nAnswer: -184*b**3*l**3 + 48*b**3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 0*g**2 + 17\/4*g**4 - 7 - 19\/3*g**3 + 0*g. What is the third derivative of b(l) wrt l?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 24293*j**2. Let s(x) = 2*x. Calculate s(p(u)).\nAnswer: 48586*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(363) + -1))**2 + (sqrt(363)*2*-5)**2.\nAnswer: -352*sqrt(3) + 42124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 1. Let c(q) = -q**3 - 2*q**2 + 5*q + 6. Let k be c(-3). Calculate j(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298728412.\nAnswer: 2, 19, 3930637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10 = -3*b, -2*b - 3*q = 3*b - 22. Suppose 9 = 26*o - 23*o. Let m(i) = 3*i + o*i - b*i - 13. Give m(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -499 + 505. What is the highest common factor of 462 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -91*k - 510. Let m(a) = -92*a - 612. Let o(b) = -5*m(b) + 6*p(b). Let i(n) = 3*n - 3*n - 2*n. Determine o(i(r)).\nAnswer: 172*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 495, -24.\nAnswer: -24, -2, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -171*s**2 + 336*s**2 - 166*s**2. Let o(i) = -9*i**2 + i. Calculate j(o(w)).\nAnswer: -81*w**4 + 18*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**4\/20 + 2*s**3\/5 - 6*s**2\/5 + 8*s\/5 - 231. Find c, given that r(c) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**3 + 15*n**2 - 40*n - 5. What is the remainder when s(6) is divided by 576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10, -0.2, -6, -0.2407, 12\/17?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 40*c**2 + 158*c - 6. Determine o(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2028298*x**2 + 941282 wrt x.\nAnswer: 4056596*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.3 - 0.1?\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 11 = 3*o - f, -3*o - 13 = f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/44 and -43\/6688.\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 52 = 11*b, 4*b - 9*r + 6*r - 26 = 0. What is n in -10\/3*n**3 + 10\/3*n - 4 + 2\/3*n**4 + 10\/3*n**b = 0?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157826371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 136491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 18 + 2. Suppose -q - 4*u = -14 + 2, -3*q - 4*u = -x. Let p(m) = 0 - 4 + 4 - q*m**2. Let b(r) = -r. Determine b(p(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 10\/59458057 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62975 or -63062?\nAnswer: -63062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvvkvvvv. Give prob of sequence vv.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 5:21 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -329909884*p**3 + 98894975?\nAnswer: -989729652*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 188 + 230*k**2 + 194 - 382 in the form r*k**2 + s + p*k and give r.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -11. Suppose -w*n + n - 16 = 0. Let l be n\/(-12)*(-6)\/1. Sort 0, 7, l in decreasing order.\nAnswer: 7, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725 + 6\/((-30)\/5).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from gguuugwwg?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**5\/70 - 13*d**4\/42 + 23*d**3\/21 - 11*d**2\/7 - 2*d + 1077. Let v(i) = 0. What is i?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 10*q - 7*q - 2*b, -4*q + 4*b - 88 = 0. Let z be (-3)\/q + -5 + (-287)\/(-49). Solve n - 4 = -z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (2 - (0 + 4 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 890, 3587, 8082, 14375, 22466?\n\"Answer: 899*z**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -172, -195, -236, -301, -396, -527?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -173, -265, -371, -497, -649, -833, -1055?\nAnswer: -1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2532022\/175 + 14469. Find the common denominator of -28\/25 and n.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**3 + 3*p**2 + 17*p + 5. Let f be o(-7). Is 37 a factor of 3\/(-2) + f\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1890?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.4321279 meters?\nAnswer: 0.0004321279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 44*g - 542. Determine u(9).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -943*h + 5660 + 16084 + 4660 = 0 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4125 - 6969 = 129*u. What is u rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 3*f = -9, 3*f = 5*s + 269 - 292 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 275.4613624 less than -94?\nAnswer: -369.4613624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**3 - 1485*a**2 + 1485*a**2.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*d + 19 = 0, -5*d + 2*d + 33 = 3*p. Which is bigger: p or -53?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -12*v + 60. Let o be y(4). Let t be ((-1)\/1)\/((-6)\/78). Solve 5*w = o + t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -85, -178, -327, -538, -817, -1170, -1603?\nAnswer: -2122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -s + 162388*s**2 - 162388*s**2 + 2026*s**3 + 0*s as n*s**2 + j*s + g + f*s**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 11560 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(0*h + h - 2*h + (-4 + 4 + 2)*(0 + 0 - 2*h) - 2*h + 4 - 4 + 0*h - 2*h + h).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5633817 and 1468?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -3b5a4a (base 14) in base 6?\nAnswer: -111551014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -39, -61, -91, -129?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c. Let r = 16 - 16. Let m(i) = -i + 2*i + r*i - 3*i. Determine u(m(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 9*a = 6*a, 0 = -5*z + 2*a - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2415 + 2333111?\nAnswer: 2330252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 293946.4l in millilitres?\nAnswer: 293946400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 41*o - 29. Let h(w) = 7*w - 5. Let s(v) = -6*f(v) + 34*h(v). Suppose 109*m - 4 = 111*m. Let l be s(m). Solve 4*c + l = -0*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, 148, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 42*u**3 - u**2 + 2*u - 1. Let t be j(1). Suppose t - 52 = 5*i. Let x be -3 + (2 - i) + -4. Which is smaller: 2\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = -24*y + 9070. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rarxarar. Give prob of picking 3 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-420)\/45)\/((-46)\/69)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 8. Let l = 121930 + -121915. What is the lowest common multiple of o and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 11:35 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 565 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 534126 by -178042.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = -3*z. Solve z*y - 4*b = 10 - 4, 2*b = -5*y + 27 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -9*y + 64. Does 6 divide q(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3478214*d**3*f - 11978674*d**3 - d*f wrt f.\nAnswer: 3478214*d**3 - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 13. Let b(l) = -2*l**2 + 20*l - 16. Let p be b(9). Suppose o + 3 = -2*i, -3 = o + 4*o - p*i. Sort 4, o, k in decreasing order.\nAnswer: 4, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 15) to base 3.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 2*g - 174, 3*s = -2*s + 3*g - 190. Calculate the common denominator of s and 63\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*m + 12 = 0, 3*t + 2 = 5*t - 2*m. Suppose 3*o + t = 14. Find the second derivative of 3*d + 7*d**5 - 5*d**5 - o*d wrt d.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62 in 9318, -0.05, -1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)*y*y**5)\/(y**(-1\/2)\/y**(-3\/5)) assuming y is positive.\nAnswer: y**(167\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 342\/20*(1315\/(-45) - (-32 + 3))?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 37, 5, -2.\nAnswer: -2, 0, 4, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 19*b**2 + 60*b - 15. Determine x(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6132 - -6151. Solve -i - 18 + d = 4*o, -4*i - o = -4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20495090*r**2 - 16926840*r.\nAnswer: 40990180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130288 is divided by 26053.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (662 - 155 + 414 - 9)*(-61 + 103 - 61)*(l + 3 - 3) to c*l + j and give c.\nAnswer: -17328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77\/580056 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2634*i**4 + 8*i - 42.\nAnswer: 31608*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -161 + 226. Suppose 8*j = 2 + 14. Suppose 0 = r - 2*k - 25, r - j*k = -3*r + 76. Calculate the remainder when g is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 24 = -109. Let j = 34 + h. Calculate the greatest common factor of j and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, 0, 5, -9 in decreasing order.\nAnswer: 5, 0, -9, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*1*(-9)\/27*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 5, -1, -76, 139.\nAnswer: -76, -20, -1, 5, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*z = -5*c - 20 + 582, 52*z + 24 = -3*c + 54*z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3683241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12020002201000 (base 3) to base 6\nAnswer: 135305430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2604836?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71\/90 + 7\/18. Let q = -1\/10 + p. Let z = -1.8 - -2. Which is the closest to q? (a) 1\/2 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - v - 29 = 0, 650 = 4*o - 12*v + 458 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5553.\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 13385424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 456352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 - 27*w**2 - 98*w - 2. List the prime factors of r(-17).\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = -5*x - 8*f - 17, 5*x + 3*f - 7 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*(b\/(b**(2\/9)\/b))\/b*b)\/b)\/b*b*(b*b**(2\/17)*b*b)\/b*b)\/((b**21\/b)\/b**(-7\/9)) assuming b is positive.\nAnswer: b**(-253\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 185 or 174?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*f + 310 = 0. Let m = f + 10. Let a = 74 + m. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 356*j**5*n**2 + 1014*j**2*n**3 + 604876*j*n**3 + 5*j wrt j.\nAnswer: 7120*j**3*n**2 + 2028*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3 + 385786*i**2 + 385792*i - 771576 = 0 for i.\nAnswer: -2, 1, 192894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-40)*0 + 213. What is the second derivative of 77*z + 79*z - 286*z - b*z**4 wrt z?\nAnswer: -2556*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 150043*w**3 + 149787*w**3 + 0.\nAnswer: -256*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbm when three letters picked without replacement from {g: 7, b: 2, i: 5, x: 1, m: 3}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ltllllttlll?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p**2 + 1\/3*p**3 - 1\/6 - 16\/3*p + 61\/6*p**4 + 5*p**5 = 0. Calculate p.\nAnswer: -1, -1\/30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l**2 - 14*l + 2. Let q = 2372 - 2368. Let a(d) = -2*d**2 - 5*d + 1. Determine q*x(z) - 11*a(z).\nAnswer: -2*z**2 - z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(1539) + sqrt(1539) - sqrt(1539))*5 + -5 + -2 + 5)**2.\nAnswer: 17280*sqrt(19) + 1386124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*((-8)\/6)\/(-2). Let s = 0.3 + -0.5. Let j = 0.2 + s. Which is the nearest to q? (a) 5 (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 12. Let p(z) = f + 0 + z**3 + 0 + 2*z + 2*z**2 - 1. Let n be p(-1). Solve 3*o - 4*o + 2 = n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*j**3 + 45*j**2 + 54*j + 21.\nAnswer: 3*(j + 1)**2*(4*j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4101072 by -54.\nAnswer: -683512\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 49222, 49219, 49214, 49207, 49198?\n\"Answer: -p**2 + 49223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d + 3. Let q(g) = -6*g - 5. Let v(j) = 4*q(j) + 10*z(j). Let o be v(-1). What is the nearest to -0.2 in o, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3759469.\nAnswer: 7, 537067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5 + 820*j**4 + 167278*j**3 - 337020*j**2 + 168921*j = 0. Calculate j.\nAnswer: -411, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) -28 (c) -101 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 1724145?\nAnswer: 15517305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42\/4 - (-4)\/8. Calculate the highest common factor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 - (4 + -2) - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116 + -582\/5. Is -5\/9 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-2 + 0 - (1 + -3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 5*v + 3. Suppose -3*u + l = 2*l - 12, 17 = u - 4*l. What is w(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 713043, 1426187, 2139331, 2852475, 3565619, 4278763?\nAnswer: 4991907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562882.\nAnswer: 2, 229, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 1, 3, 4 in ascending order.\nAnswer: -3, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(-2\/61))**(5\/6) assuming l is positive.\nAnswer: l**(-5\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -24*s - 166. What is l(-13)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 377?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3572*((-410)\/(-40) + -10). Is j greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31390 is divided by 436.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*w + 109*w = 176. Let g(j) = -4*j - 65. What is the remainder when 97 is divided by g(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1086 - -2249\/2. Suppose n - f - 11 = 0, n = -f + 3 + 6. Calculate the common denominator of u and (1 + 0)*155\/n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + -1 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5878475nm in kilometers?\nAnswer: 0.0000000000005878475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -117*a**3 + 30*a**3 + 96*a + 12 + 135*a**2 - 129*a**3 - 27*a**3.\nAnswer: -3*(a - 1)*(9*a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 + 10 = 0. Solve -4*t + 3 = -5*o - l*t, -3*t = -3*o - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 9*v - 14. What is h(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 - 595084562523?\nAnswer: -595084562340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 6*y**2 - 67*y + 409. Let c be n(6). What is the greatest common divisor of c and 4487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-8 - (-5 + 5 + -10) - (1 - 54))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -2390751?\nAnswer: -2390746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/31? (a) 0.02 (b) -0.2 (c) 2\/5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 108. Let f = v + 653. Round f to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 4:48 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(522\/129 - (13 - (6 - -3))).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*(sqrt(171) + -1) + 5)**2.\nAnswer: -66*sqrt(19) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 144.7663.\nAnswer: -1737.1956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*l + 9*l + 38*l)*(1 - 1 + 1) - 2*l + 0 + 0 - 3 + 3 - l + (4 - 1 - 1)*(l - l - 2*l).\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 892 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: What is the second biggest value in -4, -1\/3, -0.5, -145.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 0. Let f = a + 8. Suppose -3*n = -v + f*v + 569996, -2*n - 379994 = 3*v. Round n to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*v**3 + 5*v**3 + v**3.\nAnswer: 30*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.3 - -11.3. Let r(n) = n**3 + 2*n**2 - 2*n + 2. Let q be r(-3). Which is the smallest value? (a) 1 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110887.\nAnswer: 7, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from {l: 1, a: 5, g: 1, e: 2, c: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t - t - t)*(3*t**3 + 5*t - 5*t) - 55*t**4 - 35*t**4 + 157*t**4)*(-3 + 3 + 2)*(6 - 4 + 0).\nAnswer: 244*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6116 is divided by 118?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -493 + 461 + 54 + -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48095087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 s when three letters picked without replacement from gggsssggggg?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.08 + 10. Let p = t - -0.48. Let j = 0 - 3. Which is the closest to 0? (a) j (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*(sqrt(931) + 6*sqrt(931)*-1 + (sqrt(931) - 4*(sqrt(931) + 1 + sqrt(931))) - (sqrt(931) - (sqrt(931) + 3 + sqrt(931))*5)*-1))**2.\nAnswer: 88200*sqrt(19) + 6574761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 832?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -836529 by -3.\nAnswer: 278843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1254 and 70955918.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (1*1\/3)\/(68\/(-612)). Sort -283, q, 4 in ascending order.\nAnswer: -283, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9610 and -3605774153?\nAnswer: 3605764543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 7 + 2\/9*g**3 - 2\/3*g**2 + 0*g. Factor h(i).\nAnswer: 2*i*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6))**48)**(1\/10) assuming i is positive.\nAnswer: i**(-144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v - 16. Let f(g) = -1. Let i be (10 - 2)*((-22)\/8 + 2). Let k(p) = i*f(p) - h(p). Does 34 divide k(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 - -907284.\nAnswer: 907320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1837, 1846, 1855, 1864?\n\"Answer: 9*b + 1828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s + 1. Let i be u(-2). Let x = 7 - i. Is x > -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.411279 minutes?\nAnswer: 324.67674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 3)*(-2)\/4. Let k(q) = -3*q + 8*q**a + 11*q**2 - 16*q**2 - 2. Calculate the remainder when k(-3) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**5 - 3*y**4 - 3*y**3 + 3*y**2.\nAnswer: 3*y**2*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*j**2 + 121*j - 121*j)*(-1 + 3 - 4) as g*j + x + v*j**2 and give v.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 405 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-93)\/4)\/((-1)\/((-96)\/36)). Which is greater: y or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 12. Let a be m(0). Let d(h) = -h**2 + 14*h - 36. Let j be d(a). Suppose 0*l = 3*l - 6. Which is bigger: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n + 24. Let m be q(-3). Let f be (90\/54)\/(1\/3). Suppose 5*i - 3*a - 107 = 0, -f*a + 2*a + 3 = 0. Calculate the highest common factor of i and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 87, 139, 193, 249, 307, 367?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4*x - 32 = -0*x, 5*p = -5*x - 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) - (-20)\/12. Let j(p) = p - 3. Let v be j(3). Let t be v + 1 + s\/(-2). Which is smaller: t or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/30 and 16\/93.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-12))\/((-11)\/(495\/(-15)))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - 7dc0b?\nAnswer: -7dc1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1694400 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 222+3544\nAnswer: 3766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t = -8. Let m be 30\/7 - t\/7. Solve m*n - n = -6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 27. Put 6, 2, d in decreasing order.\nAnswer: 6, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1511 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-29)*r\/r**(3\/14)*r**(-1\/24)*r*(((r**6*r*r)\/r*r)\/r)\/r*r)**(1\/3) assuming r is positive.\nAnswer: r**(-3403\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1004?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/13))**(2\/5)*(r*r**(-2\/9))**(-39) assuming r is positive.\nAnswer: r**(-5849\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.34 - -3.8. Let m = u + 137.64. What is m rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -dd (base 14) in base 16?\nAnswer: -c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 y when three letters picked without replacement from mmsyymsymcyycyyysy.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 11 = 17*d + 93 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 879 + -870. Let c be 3*8\/s*(-45)\/(-60). Solve 3*b = y - c*b + 4, -y = 5*b - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220 divided by 44\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**3 + 4*a + 3. Suppose 4*b - 13 = -h + 5, -5*b = 5*h - 30. Let g(w) = -3*w**3 + 3*w + 2. Determine b*g(t) - 3*y(t).\nAnswer: -3*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59080 by 4.\nAnswer: -14770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5*p - 23 + 8, 3*n + 2*p - 15 = 0. Let w = -6 - -6. Suppose -10 = 4*r + 10, w = n*y + 3*r. Solve -3*l + 4*l + 4 = -q, y*l + 12 = 4*q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -137.31 - -139.31. Which is the smallest value? (a) -308 (b) -0.7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + -1. Let t = u + 5. Let i = 29\/333 + 5\/37. Which is the second smallest value? (a) -2\/13 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 237 (b) -3 (c) 2\/9 (d) 295 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 - 56. Suppose -6*h + n = -12. Suppose 770 = h*m + m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5304\/65)\/(-17)*6\/((-84)\/(-35))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 greater than -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.52407 (b) 6\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -273 + 187. Let l = -40 - r. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a + 139*a**3 - 8*a - 137*a**3 in the form h*a + g*a**3 + p + k*a**2 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(2 - 7\/2). Suppose -6*z = -u*z + 28. Let m(r) = 3*r**2 + 6 - 2*r**2 - 13*r + 3*r**2. Let y(n) = -3*n**2 + 9*n - 4. Calculate z*y(c) - 5*m(c).\nAnswer: c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n**3 - 6*n - 5. Let s be p(-1). Let l(w) = -9*w**2 - 7*w + 5. Let j(z) = -8*z**2 - 6*z + 4. Give s*l(x) + 7*j(x).\nAnswer: -2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15673 to 3 dps.\nAnswer: 0.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 + 3094?\nAnswer: 3093.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9547 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(1*(-3)\/12). Let h be (-16)\/q - (-48)\/(-4). Let d = h - -12. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2*n + 4, -4*n = -2*a + 3 - 1. Suppose -4*q + 806 = -a*l, -2*l + 1009 = 5*q - 5*l. Does 31 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) -0.1 (b) 15 (c) 0.3 (d) -4\/3 (e) 8.4 (f) 1\/30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 a, and 1 s when three letters picked without replacement from sookoaskeoeokoe.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.19 + -0.09. Which is the nearest to -3? (a) -0.2 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 97701 and 22242.\nAnswer: 724355214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -642 - -647. Factor -56*p + 6*p**3 - 3*p**q + 0*p**5 + 25*p + 28*p.\nAnswer: -3*p*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 83\/2? (a) 2\/13 (b) -4\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 65*f - 1153*f**3 - 2 - 125*f + 60*f. Is a(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**4 - 3*w**3 + 2824*w**2 - 11*w + 17585.\nAnswer: 8*w**3 - 9*w**2 + 5648*w - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1447 - -1447. What is the nearest to u in -0.4, 5, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 356 and 37196.\nAnswer: 3310444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 107 = 3*p + 23, p - 50 = -4*x. What is the highest common divisor of 3484 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 554*v**2 + 3758*v - 648. Calculate s(-7).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((441\/(-24))\/49)\/((-354)\/(-1180))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 6*d - 6. Suppose 0 = -23*x + 27*x - 28. Let a be o(x). Let y = a - -24. Solve 29 = -5*z - b + 5*b, -5*b + y = -4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 20*r**3 + 3845*r**2 - 22695*r + 14850.\nAnswer: 5*(r - 5)*(r + 198)*(4*r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 16*z - 264. Give k(-17).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 3*a. Let c be ((-8)\/10)\/((-10)\/25). Let b be m(c). Suppose 87 = h + b*h. Solve 0 = 4*d - 2*o + h - 3, -4*d - 3*o - 1 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 (base 12) in base 15?\nAnswer: 17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.55 + 0.519. Let i = g - -1.031. Let r = -1\/30 - 2\/165. Which is the third smallest value? (a) -2\/7 (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1127020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1614.3971 to the nearest integer.\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(0 + 4\/(-380)). Let u = d + -65. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-2) - (-2 + 0). Let u = w + 3. Suppose 3*i = -u*i + 50. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**3)**1)**(-44))**(-13\/2) assuming u is positive.\nAnswer: u**858","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n + 3*n + 6*n)*(3 - 3 - 3) + (-2 + 1 - 1)*(-n + 4*n - 2*n) - 16*n + 127 - 127.\nAnswer: -72*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 11*d**3 - 14*d**2 + 11*d - 39. Let x(l) = -8*l**3 + 9*l**2 - 8*l + 26. Let j(o) = 5*f(o) + 7*x(o). Give j(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1776572 by -28.\nAnswer: 63449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8099348*j**4 + 7*j**3 - j**2 - 296*j - 8683 wrt j.\nAnswer: -194384352*j + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -4 - 2)\/((-106)\/(-2014))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2746 = 7*w - 9*w, 4*u = 5*w + 6799. Let b = -686 - w. Round b to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29, 24, 17, 8?\n\"Answer: -o**2 - 2*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.065? (a) -1\/2 (b) -0.0141 (c) 1\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1396916 and 928.\nAnswer: 324084512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1547*g + 37277 = 139379 for g.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5256562 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/8 + 7851*l\/8 - 756945.\nAnswer: 3*(l - 623)*(l + 3240)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k**2 + 10*k**2 - 33*k**2 - 3*k**2 + 2*k**3.\nAnswer: 2*k**3 - 49*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 38. Let j(h) be the third derivative of 0*h + 5\/126*h**7 + 7\/18*h**4 + 7\/36*h**6 + o + 23\/60*h**5 + 2\/9*h**3 + 2*h**2. Factor j(d).\nAnswer: (d + 1)**2*(5*d + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from {r: 6, m: 1, c: 2, n: 3, z: 2, b: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 250 = 6*i + 4*i for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24570290?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f. Let s be l(-3). Let t = 5 - s. Suppose -329*g = -2749 - 6463. Calculate the remainder when g is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) -1\/6 (b) -3 (c) -7.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 8*r - 1032 = 0. What are the prime factors of r?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (40 - -29) - -29.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3103, 6214, 9337, 12472, 15619, 18778?\nAnswer: 21949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 61*h**2 - 20*h - 41. Is d(56) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 224877954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -25*d - 5. Let c be i(-2). Suppose -c = -q + 5. Calculate the highest common divisor of q and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5645612 is divided by 521?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 49855.08mm?\nAnswer: 0.04985508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 21*z**2 + 21*z - 24. Let c be l(-22). Let m = 2.7 + -6.7. Sort 1, m, 0.4, c in descending order.\nAnswer: 1, 0.4, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -187 and -155.66.\nAnswer: 29108.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, s: 1, y: 1}. Give prob of picking 1 l and 1 y.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2\/2 + 51*v\/2 - 25 = 0. Calculate v.\nAnswer: 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 160 - 1 = -m, 0 = 5*m - d - 773. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99 - 127) + (3 - -20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 1:32 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + -3*sqrt(64))\/(sqrt(8)\/sqrt(16)) + (sqrt(288) - (sqrt(288)*1)**2)*-6.\nAnswer: -94*sqrt(2) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44242087 to the power of 1\/3, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 6. Let w(u) = 4*u + 3. Let i(m) = m + 1. Let t(p) = 9*i(p) - 2*w(p). Let a(l) = 3*b(l) + 5*t(l). What is a(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14427.6912 - -14427. What is w rounded to 2 dps?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 6. What is the smallest value in j, 0.2, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1494 + 3507. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 307\/322 - 57\/46. Put 2\/5, 0.104, c, -1 in decreasing order.\nAnswer: 2\/5, 0.104, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.019 (b) 0.2 (c) 0.9 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -437*i**3 - 6*i**2 - 6*i + 6. Let j(w) = 438*w**3 + 7*w**2 + 7*w - 7. Give -7*h(d) - 6*j(d).\nAnswer: 431*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (30\/108)\/(35\/28)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 12:56 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10)*85\/(-68). Which is the nearest to 1? (a) j (b) -3\/5 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/7)*v)\/(v*v**(-16)*v))\/((v*v**1)\/(v\/(v*v**9))) assuming v is positive.\nAnswer: v**(29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -17*p**2 - 21 + 4*p - 14 + 9 + 3 + p**3. Let m be y(17). Calculate the highest common factor of 60 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -48746033, -1.\nAnswer: -48746033, -1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3041583741.\nAnswer: 3, 7, 48279107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + a + 6 = 0, 11*p + 3*a = 10*p - 16 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -466, 1, 2 in increasing order.\nAnswer: -466, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l. Let j(a) = -a**2 + 3*a - 11. Let f be j(7). Let z = -38 - f. Let d(w) = 19*w**2 + z - 1 - 21*w**2. What is d(v(k))?\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3686 is divided by 1841.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 297, 299, 301, 303?\n\"Answer: 2*w + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*k**2 - 2*k**3 - k**4 - 30*k**4 - 191*k**2 - 1 + 5*k**4 + 96*k**2 - 2*k as u + w*k**3 + f*k**4 + s*k**2 + y*k and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 37782621 divided by -361?\nAnswer: -104661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 196200 to the nearest one thousand.\nAnswer: 196000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 620*z = 574*z - 1472 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -4*n**7\/21 - 5*n**6\/6 - 11*n**5\/8 - 15*n**4\/16 + 71*n**2. Suppose k(w) = 0. Calculate w.\nAnswer: -1, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 12*c**2 - 126*c + 809. Calculate u(8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507.14 rounded to the nearest ten?\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**2 - 1 + i - 2*i - i. Let c be t(-1). Suppose c*g = 3*g + 16. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1083 greater than -1085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 = -2*r - 2*b, -r = 3*b + 2. Solve -2*z = -0*z + r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*m - 60*m - 62*m - 89*m + 55*m.\nAnswer: -183*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - ((-7)\/1 - 1). Let c(h) be the first derivative of 0*h**4 + 0*h + 2*h**a + 0*h**2 - 4 + 1\/5*h**5. Find the third derivative of c(k) wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 2*j**5\/5 - j**4 + 142*j**3\/3 + 3*j**2\/2 - 199*j + 299. What is the second derivative of l(v) wrt v?\nAnswer: 24*v**2 - 24*v + 284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137345 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2. Let a = -202 - -204. Let s(k) = -18*k**a + 63*k**2 - 25*k**2 - 23*k**2. Determine s(o(f)).\nAnswer: -27*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4522 is divided by 4403?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -24*l**5\/7 - 26*l**4\/7 + 202*l**3\/7 + 316*l**2\/7 - 72*l\/7 - 144\/7 = 0.\nAnswer: -2, -3\/4, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36537345 - 17343651. Let j = u + 53881012.0000036. Let x = j - 16. Round x to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(76) - sqrt(76)) + sqrt(76))*-2)\/((2*sqrt(40))\/sqrt(10)))**2 - ((-3*6*(sqrt(684) - 1*sqrt(684)))**2 + 4).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w - 46708 = -37*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - 6*sqrt(88)*-1 - sqrt(88))\/sqrt(11)*-5)\/(((-1*sqrt(180))\/sqrt(5))\/(sqrt(99)\/(sqrt(11) - sqrt(176) - sqrt(11)))).\nAnswer: -15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2649381.\nAnswer: 3, 7, 67, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16475729.1 rounded to the nearest 10000?\nAnswer: 16480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 + 504*h - 51695\/3.\nAnswer: -(h - 1477)*(h - 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 6*i - 85. Calculate the smallest common multiple of i and 58.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:21 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 12 = -q, -3*w + 9 = -0*q - q. Let y(u) = -2*u - 4*u + w*u + 6*u. Suppose 2*r + 1885 = 1887. What is y(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9078420 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 105 + -47. Let g be n*(-3 - (3 - 8)). Suppose -4*t + g - 28 = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 17*v**2 - 11*v. Let p(c) = -6*c**2 + 4*c. Let q(x) = 11*p(x) + 4*s(x). Let u(m) = 2*m**2. Calculate u(q(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in 3\/8, 241, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -55024\/9 greater than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from {z: 3, v: 2, m: 2, t: 3, f: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = -4*o + 1, 0 = -5*o - 2*w. Suppose -15*h + 17*h = 8. Sort o, h, 5 in descending order.\nAnswer: 5, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3641 times -7.97\nAnswer: -29018.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 3, 2\/5, -0.101, -5, 4, -75?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 87558) + (28\/(-294) - (-19)\/(-21)). Round x to the nearest one thousand.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 902 + -4642e?\nAnswer: -45a2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -160 divided by 40\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33620727 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.69 - -0.31. Let t = y - 14. Let f = 1 + -0.8. Which is the nearest to t? (a) f (b) 2\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*m - 1999*g**3 + 3*g**2*m + 3*g*m + 59*g - 2*m - 4 wrt g?\nAnswer: -6*g*m - 11994*g + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 - -2. Let r = p - -3.4. Let d = 119 - 119. Which is the closest to d? (a) 0.2 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21377582011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**3\/6 - 1681*f**2. Let w(p) = p + 3. Let m be 1 - 0*2\/4. What is m*w(k) + 2*d(k)?\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 8*w + 66. Let d(h) = h + 10. Let l(p) = 6*d(p) - r(p). Determine l(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 34*t**2 - 168*t + 7. Let w(m) = -28*m**2 + 171*m - 6. Calculate -6*u(j) - 7*w(j).\nAnswer: -8*j**2 - 189*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, e: 1, q: 2, i: 2, y: 1}. What is prob of picking 2 q?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 62, -1, -186, -529?\nAnswer: -1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4*p**2)**11 assuming p is positive.\nAnswer: p**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 41539 + 14131 = 0. Is t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84632?\nAnswer: 2, 71, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**4 + 440*d**3 - 2300*d**2 = 0. What is d?\nAnswer: -115, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -217551 and -5.\nAnswer: 1087755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11938 is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14533 - 2064?\nAnswer: -16630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.71756*-1491.3\nAnswer: 1070.097228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*v**2 + 7126*v - 12506?\nAnswer: -8*v + 7126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 10*t**2 - 10*t - 9. Let z be q(11). Let f be (-1)\/z*2*-122. Suppose -5*w + f = 27. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*x + 21*x + 228. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = 31*q - 186 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 10:06 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 3*k**2 + 9*k - 8. Let h be a(-5). What is the units digit of h\/(6\/10)*566\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*2\/1 - 1. Suppose 8*l - 30 = b*l. What is the third derivative of 3*f**2 - 3*f**l - 5*f**2 + f**2 wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -26.3 and -0.071822.\nAnswer: -26.371822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*v**2 - 25*v**2 - 22*v**2)*(-8 - 6*v + 8)*(-5*v**2 + 0*v**2 + 4*v**2).\nAnswer: -168*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -352, -363, -380, -403, -432, -467?\n\"Answer: -3*k**2 - 2*k - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 102 * -172541\nAnswer: -17599182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-20)\/12)\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 9*p + 40. Let i be (396\/p)\/(((-8)\/(-130))\/(-2)). Does 18 divide (-12)\/18*(-5)\/(30\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38209458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1029)*-2*2 - sqrt(1029))*4)\/(2*sqrt(42)\/sqrt(6) + sqrt(448) + sqrt(7)).\nAnswer: -140*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -206*n**5 - 5 + 163*n**5 + 5 + 541*n**2 - 3*n**4 wrt n?\nAnswer: -2580*n**2 - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 306, 300, 294, 288, 282?\n\"Answer: -6*w + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(2\/105))\/i)\/(i\/i**14))\/(i*i**(-9))**41 assuming i is positive.\nAnswer: i**(35807\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 29*s**3 + 13*s + 34*s**3 - 61*s**3.\nAnswer: 2*s**3 + 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:09 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 + 117*t**3 + 5685*t**2 + 61883*t + 56316.\nAnswer: -(t - 156)*(t + 1)*(t + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 73889 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 11*r**4\/6 + 13*r**3\/6 - 3*r**2 + 2*r - 163. Let y(g) = -7*g**2 - 4*g + 2. Determine 2*v(n) + 7*y(n).\nAnswer: -5*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -81, -169, -263, -363, -469?\n\"Answer: -3*x**2 - 79*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 23. Let g = 3 - h. Suppose -3*v - 2*s + 162 = s, 3*s = -g*v + 221. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = 2*m + 2*m, 0 = 5*m + l - 15. Let u(t) = 17 + 17 + 250*t - 31. Is u(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95897.3ns in microseconds?\nAnswer: 95.8973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 9*t**2 + 10*t - 14. Let y be s(8). Suppose y = -q + 114. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111221200 - 100?\nAnswer: -2111222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l**2. Let z(k) = -7*k. What is z(w(g))?\nAnswer: 56*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1530 and 10973925.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5583790 by -13619.\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, t: 2}. Give prob of picking 2 x.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -489, -1967, -4431, -7881, -12317, -17739, -24147?\n\"Answer: -493*n**2 + n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14126777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(121) + sqrt(121) + sqrt(121)) - sqrt(121) - (sqrt(121) - (sqrt(121) + -3*sqrt(121)))*-3)\/(-6*(4*(sqrt(132)*1 + sqrt(132)))\/sqrt(12)).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-1) - (5 + (3 - 120)). Which is smaller: 110 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 8*k - 20. Let v be r(-10). Suppose v = l + 3 - 7. Solve 0 = -t + l*w - 13, -5*w + 15 = t - 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 332 - 332. What is the nearest to 0 in s, -3\/4, -15, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -11. Suppose -r - t*j = -8, r + 3*j - 9 = -0*j. Find the third derivative of 5*n**6 + n**2 - 3*n**2 + 2*n**r wrt n.\nAnswer: 840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 423 and 94.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -161523445930 and -370.\nAnswer: -161523446300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9663 - -19108. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 12, -0.1848 in descending order.\nAnswer: 12, 3\/5, -0.1848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1049 at least -1088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 679796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 113408*c**2 + 36*c + 9. Is p(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*x - 167*x = 4*v - 143, 3*v = x + 86 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6*p**3 + 2)*(3 - 1 - 4) + (-2*p - p**2 + 2*p)*(0*p + p - 2*p).\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 152087 = 4*h, 152*h - 156*h + 760371 = 5*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(576)*1)\/sqrt(12) - (3*sqrt(12)\/sqrt(4) + 1)))**2.\nAnswer: -6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12890522*t**4 - 233326*t**2 + 7*t + 2.\nAnswer: 309372528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 585224855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1567 + -0.16. What is z rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(300))\/(sqrt(605)*-2))\/(sqrt(768)*2*3*3).\nAnswer: sqrt(5)\/528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 96*m**2 - 904*m - 576. Calculate c(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/2 + 2)*-6. Suppose -5 = -4*t + z*q, -5*t - 5*q + 58 = 8. Let y(x) = -x**3 + 6*x**2 - 3*x - 4. Determine y(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*1 - -2)*(59 - 1). Suppose -x - 222 = -4*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + o. Suppose 5*u = -0*u - m - 24, 2*u - 12 = 5*m. Let g(f) = -3*f**2 + 3*f - 1. Determine u*h(a) + g(a).\nAnswer: a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/5 + 42*a\/5 = 0. What is a?\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1138 and (12\/10)\/((-32)\/(-10) + -3).\nAnswer: 3414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -674.3 + 720.89. Let a = q + -0.59. Let b = a - 46.0000285. Round b to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 2*i + 4. Let j = 424 + -417. Let g(s) = s**2 - 2*s + 5. Calculate j*z(n) - 6*g(n).\nAnswer: n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m**5\/9 + 7016*m**4\/9 - 451*m**3\/3 - 49178*m**2\/9 - 33164*m\/9 + 2552\/3 = 0.\nAnswer: -638, -2, -1, 2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 128*o + 16647. Give s(-130).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2552.709 hours?\nAnswer: 106.362875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3629502 and 3285?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + x + 8 = -0*h, -2 + 22 = -2*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q + 23*q - 9*q + 15 - 7*q + 19. Let m be w(9). Calculate the highest common factor of 38 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08723, 2, 3\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000972598328 to 7 decimal places.\nAnswer: -0.0009726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 7, -4, -14 in decreasing order.\nAnswer: 7, 5, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - -0.9. Let c be 8\/3 - (-4)\/12. Suppose x = 1, -2*x + 10 = -5*t + c*t. What is the nearest to m in 0.4, t, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/22*(-17)\/408.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.2. Let q = 4115581\/13 - 316116. Let d = q - 467. What is the fourth smallest value in i, -0.2, 2\/3, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-1*2 - 0). Let z = 4 - 5. Suppose 2*k - 5*c = -18, -5*c = 5*k + 4 + 6. Sort h, z, k in ascending order.\nAnswer: k, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 1055*z + 1057. Let d be g(-1). Let b(l) be the second derivative of 0 + 13\/12*l**4 + 0*l**3 + 43*l + 11\/2*l**d. What is the derivative of b(m) wrt m?\nAnswer: 26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -837 - 38*b + 235*b + 837 to the form f + i*b and give i.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -5*w + 11. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*y - 91*y = 1173. Let s = y + -387. Sort s, -3, 13, -1 in decreasing order.\nAnswer: 13, s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -332222103 (base 4) to base 13\nAnswer: -8ca90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 9*f + 6 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/100650 and 179\/3317790?\nAnswer: 182478450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**4\/6 - 3*b**3\/2 - 13*b**2. What are the prime factors of i(10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - g + 3 = k, -k - 9 = -3*g. Suppose k = 4*z - 5*p - 5, 3*z - 31 = -2*z - 2*p. Factor 0*v + 0 + 0*v**2 + 0*v**4 - 2\/5*v**3 + 2\/5*v**z.\nAnswer: 2*v**3*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 15. Let c = m - 4.9. What is the smallest value in c, 0.4, 10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 3*j**5\/5 - 89*j**4\/2 + 1708*j**3\/9 - 788*j**2\/3 + 448*j\/3 - 9991. Solve a(h) = 0 for h.\nAnswer: 2\/3, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 3\/(-6))*8. Let k(q) = 1 + 2*q - 8*q + 17 + h*q. What is the remainder when 87 is divided by k(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 + 137. Calculate the greatest common divisor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4083420492.\nAnswer: 2, 3, 19, 37, 53783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79909 is divided by 122?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, v: 7}. Give prob of sequence vrr.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y**4\/15 - 1435298*y**3\/15 + 28612266936*y**2\/5 - 1711142317914208*y\/15 + 427780214700928\/15 = 0 for y.\nAnswer: 1\/4, 59804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19084769.\nAnswer: 11, 197, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49285308*q**3*u - 46*q**2*u - q**2 + 208*q + u + 4 wrt q.\nAnswer: -295711848*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11363 - 3093 = -2599*t - 1461 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69224 is divided by 34582?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -369950\/289 >= -1279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 4*h**2 - 2*h - 3. Let m(d) = 2*d**3 - 4*d**2 - 8*d + 25. Let p be m(6). Let u = p - 268. What is y(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 7:43 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 11*a + 3*g + 7 = 0, -4*g = -5*a - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1760848 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-29\/4)\/g**36 assuming g is positive.\nAnswer: g**(-173\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**6\/60 - b**4\/12 + 68*b**2 - 2*b + 122. Let a(v) be the first derivative of q(v). Solve a(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 203*z**2 - 102*z + 104. Determine i(1).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000154773469 rounded to 6 decimal places?\nAnswer: 0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y - 6. Let u be 1*18\/3*1. Let d be 6 - (-3)\/u*-4. Let r(a) be the first derivative of a**2\/2 - a + 1. Calculate d*r(k) - b(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 44) + (13 - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/((-2)\/44). Suppose 5*t - 35 = -0*b - 4*b, 0 = 3*t - 3*b - 48. Let k = o + t. Solve 11 = 2*u + f, 0 = u - k*u + 3*f - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8056 (base 9) in base 11?\nAnswer: -4469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 l when three letters picked without replacement from alaxxaaaaabaabbba?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b + 77. Let u = -114 - -132. Let m be p(u). What is the nearest to -70 in 0.5, m, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 102740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54929 or -2?\nAnswer: -54929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 + -112.7772857.\nAnswer: -112.7572857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 4116055.\nAnswer: 4116055","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is (5\/6)\/(21\/((-882)\/(-28)))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87258\/7 < 12466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 4*b + 1. Let g(z) = z**2 - z - 1. Let p(a) = -3*g(a) + x(a). Suppose -25*f = -2*o - 22*f + 15, -5*o - 4*f + 3 = 0. Determine p(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 655064 and 13096.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39879 and 42.\nAnswer: 79758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*h = -128, -61 = -3*w - 3*h + 71. Let z = 197 + w. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**5\/25 - 2*f**4\/3 - 22*f**3\/15 + 190*f + 1. Factor d(k).\nAnswer: 4*k*(k - 11)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 70 = 11*l. Suppose -l*r = 13*r + 190. Is 4 a factor of r\/(-14) + -1 + 792\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6700 - 44193 + 221934 + 104784 = 5015*p for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860154692?\nAnswer: 2, 215038673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -199, -201, -211, -235, -279, -349?\n\"Answer: -s**3 + 2*s**2 - s - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*u - 2*n = 99*u + 23, n = -3*u - 22 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490159.\nAnswer: 490159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9817806.\nAnswer: 2, 3, 17, 101, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -2\/5, -3\/5, 11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 26*g - 3107. Determine v(69).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -31 in ascending order.\nAnswer: -31, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 936 + 33 = 0. Let v(x) = x**3 + 13*x**2 - 59*x - 748. Let z be v(-13). Calculate the highest common factor of y and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = h + 3*h + 2, -5*h - 55 = -5*w. Suppose -4 = 2*b - w. Suppose -484 + 720 = 118*r. Solve -b*k - 19 = r*s, 2*s + 10 = -k - k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1919903?\nAnswer: 47, 40849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1197a (base 11) to base 4\nAnswer: -10023330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 10:41 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*v = -28276, -10*i + 8*i = 5*v - 14154. What are the prime factors of i?\nAnswer: 37, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88269583 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 9*o**2 + 4*o - 38. Let y be k(9). Let m be 1\/(y\/(-13)) + -4. Factor 25\/4 + m*f + 1\/4*f**2.\nAnswer: (f + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/(-204)*(0 + (-12)\/10)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + 17*x**2 - 7*x**2 - 4*x + 9*x**2 in the form g*x + h + y*x**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 10*j**3 - j**3 + 0*j**3 - 8*j**3 - 11 + 8*j. Let q(u) = u**3 + 5*u - 11. Give 6*q(v) - 5*z(v).\nAnswer: v**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + 112981088?\nAnswer: 112981116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*x - 120 = 0, -1 = x + 2. Let z = w + -25. Suppose a = -z + 41. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 18 = -g, -5*o - 17 - 11 = -g. Solve -3 = 4*s - g*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 1863*o**2 + 1867*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*n + 1112, -884 = -26*d + 22*d - 3*n. Is 28 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 7) in base 16?\nAnswer: 3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 7, 1727, -122, 0, 4 in decreasing order.\nAnswer: 1727, 7, 4, 2, 0, -5, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 1:39 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381865279?\nAnswer: 199, 1918921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 219029 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -49*u + 250. Let i be p(5). Suppose -8*l + 6 = -10*l, -i*j = -2*l - 71. Are j and -0.21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 9:52 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 14 + 9)*(-7*y + 2*y + 2*y) + 0*y - y + 0*y + (6 - 2 - 3)*(-2*y + y + 3*y) - y + 0*y + 0*y + y + y - y.\nAnswer: -35*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s - 3*y = 18*s, -y = -3*s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 33. Suppose u*w + 4*w + 60 = 5*o, 25 = 5*o + 3*w. Calculate the remainder when o is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12*(-10)\/90)\/(2\/(-36)). Let c be (6 + (-8 - -4))\/((-2)\/l). Solve -s - 8 = 2*b - 3*s, -5*b = -s + c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d6bdd (base 15) in base 9?\nAnswer: 1247211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 5*b - 4. Find the third derivative of v**3 - 2*v**4 - 10*v**b - v**3 + 3*v**4 wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3 = -f + 8, -5*f - 4*s - 21 = 0. What is the units digit of 28*(f + 9\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 153 in 0, -347\/4, 0.09, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-10)\/4)*-2. Let v be (2\/(4\/g))\/3. Let u be (6\/(-52))\/(28\/(-182)). Which is the smallest value? (a) u (b) -2\/25 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, z: 2, x: 2, s: 1, a: 3, h: 7}. Give prob of picking 2 a and 2 x.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, m: 6, s: 1, x: 1}. What is prob of picking 4 m?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 17.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(25\/10*8\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 10 = -2*h, -5*o + 383*h - 384*h - 9 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -353 (base 7) to base 2\nAnswer: -10111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*q = 63, 3*c = 7*q - 0*q + 23. Sort c, -13, -1, 0, -3 in decreasing order.\nAnswer: c, 0, -1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 3?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-6) + (-5)\/15. What is the second derivative of 2*l - 2*l - x*l + 5*l + 2*l**3 wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.39 and -300442.8.\nAnswer: -300444.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 + -70. Let t = d - 79. Let q = -17 - t. Calculate the remainder when q is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2226.2 rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 23?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*n**2 - 497*n**2 + 337*n**2.\nAnswer: -89*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 less than 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (0 + 4 - (-1 + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + 3. Let a = -1 + 2. Suppose -3*q + 10 = a. Let c(n) = q + 2*n - 2*n + 3*n**2 + 1. Calculate -3*c(h) + 4*v(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.4+-8544\nAnswer: -8545.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1123*h**3 - 7 - 1 + 1 + 1096*h**3.\nAnswer: -27*h**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v + 128. Let o(r) = 9*r + 98. Let n(a) = 3*b(a) - 4*o(a). Determine n(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43746539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 257 = 272 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(540) + sqrt(540))*2)\/((-2*sqrt(120))\/(sqrt(294) - (sqrt(294) + sqrt(294)*2))).\nAnswer: -378*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2359720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 8 - 2)*((v + 0 + 0)*(-3 + 3 + 2) + 5*v - 11*v - 2*v)*(-5*v**2 + 3*v + 2*v**2 + 2*v**2) in the form h*v**3 + u*v + g*v**2 + z and give g.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-18)\/12 + 3. What is the nearest to -2 in j, 0, 1\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 678*k + 385. Let h(w) = 1362*w + 771. Let n(q) = -4*h(q) + 7*l(q). What is the first derivative of n(y) wrt y?\nAnswer: -702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39866 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/2 + 39*n**4 + 779*n**3\/2 + 1441*n**2 + 2298*n + 1340.\nAnswer: (n + 2)**3*(n + 5)*(n + 67)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 1:59 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15965997*d*g**2*v + d*g**2 + 581*d*g*v + 14044*d*g - 2*d*v + 1 wrt g.\nAnswer: -31931994*d*v + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -344429 - -344608.0077. Let t = h - 179. Round t to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/15006 and 63\/637676.\nAnswer: 4784483028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -29545 >= -29544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 29 and 144\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4397 and 0.22093.\nAnswer: 971.42921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1080786990472921359.00000089 - -1080786972425766744. Let s = -18047154523 - p. Let j = 92 - s. Round j to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*z = -439 + 247. Let v be ((-20)\/(-6))\/((-4)\/30). Sort -3, z, v.\nAnswer: v, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -47, -6\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) 44 (b) -1\/13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03925 + 0.04075. Which is the fifth smallest value? (a) -3 (b) -0.6 (c) y (d) 2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 12, -c - 16 + 105 = -h. Let s = 98 - c. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37831967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17419876 - -0.77.\nAnswer: -17419875.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 1. Let i be t(-1). Suppose -2*f - 20 = -7*f. Solve -q + f*q - 9 = i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1051*y + 570*y + 537*y = 280 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*b - b = 42, -4*j + 26 = 2*b. Let z(p) = p**3 - 9*p**2 - 4*p + 10. Determine z(j).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11, -50, -101, -164, -239, -326?\n\"Answer: -6*s**2 - 21*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1800 and 53544744?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 150\/(-18))*(-192)\/(-112).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6 - 4 = 2*p, 0 = -p + 4. Suppose -j*s + 1 + 5 = 0. List the prime factors of 2 - (-2 - s)*3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 + 124. Let s(h) = 6*h**3 - 3*h**2 - 9*h + 22. Calculate the lowest common multiple of j and s(2).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -503*m**4\/6 - 2*m + 204. Let r(u) = 5*u**2. What is r(h(q))?\nAnswer: 5060180*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 440*p*v**3 + p*v - 267*p with respect to v.\nAnswer: 1320*p*v**2 + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 33\/(-15))*(1666\/(-28))\/17?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 - 10?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*m - 37*m + 11*m)*(2 - 1 - 2) + m + 0*m + 2*m + 14*m + 14*m - 10*m as j + h*m and give h.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1338000 is divided by 6756?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - u - 6*u - 3*u + 2 + 0 - 4 - u + 4 - 4 + (-4 + 2 - 1)*(-1 + u + 1).\nAnswer: -11*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.364091 and -20689?\nAnswer: 20689.364091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-6*11\/(-66))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -t - 4*n, 0 = -4*n - 20 + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.013 + -0.013. Which is the fourth smallest value? (a) 3\/2 (b) 1\/5 (c) -1 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8213 and 185029?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/31 or -19736.6?\nAnswer: -19736.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4317362 (base 8) in base 15?\nAnswer: -17c26c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {q: 2, z: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*w + 37*w**5 - 79*w**5 + 28*w**5 + 82*w**5 wrt w?\nAnswer: 1360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, l: 4, o: 1, b: 1}. Give prob of picking 3 l.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = x - 1306, -7*x - 77 = -42. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*l + 1129*l - 49390 = 0. Suppose 4*q - 1925 = -q. What is the highest common factor of l and q?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.4, -57\/5?\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 70*b**3 - 3*b**2 + 6*b - 3. Let y be c(2). Suppose y - 116 = 3*z. Calculate the remainder when z is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -52*k - 55*k - 55*k + 149*k. Let j(s) = -5*s**2. Determine j(l(i)).\nAnswer: -845*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 - 7.3. Let x = j + 5.3. Which is the third smallest value? (a) -2\/3 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 0 + -205*176\/(-55). Calculate the greatest common divisor of 32 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by ((-2120)\/(-32))\/(35\/56)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 488 - 275. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*l + 28*l - 89*l**2 - 18*l - 5*l to w*l**2 + h + a*l and give w.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*y + 3, 5*y + 3*w - w = 6. Suppose 0 = 4*s - y*s - 88. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2 + 1 = 3*k, -w = k - 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72106250287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4154 - -29080\/7. Let j be -1 - -2 - 5\/25. Sort j, 2, 1\/5, h.\nAnswer: 1\/5, h, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence luuj when four letters picked without replacement from xxllljuxuux?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7427000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1852.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 4664130?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c**2 + 9*c + 21. What is the tens digit of m(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 47.5697 centuries?\nAnswer: 57083.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g. Suppose 2*k = 3*k + 1, 0 = 4*r + 3*k + 15. Let b be d(r). Round b to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48777 is divided by 12050?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/3))**0\/(u**(3\/8)*u*u*u*u\/(u\/u**(3\/5))) assuming u is positive.\nAnswer: u**(-159\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642253294 to the power of 1\/2, to the nearest integer?\nAnswer: 40525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3204075002.\nAnswer: 2, 23279, 68819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b - 7. Let q(w) = -w - 2. Let y(l) = -3*j(l) + 8*q(l). Let p be y(-4). Let k be ((-1)\/(-33))\/p*-3. Which is greater: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -21*m**2 - 79*m + 29*m**2 + 85*m - 2 - 1. Let s(z) = 3*z**2 + 2*z - 1. Give 6*d(o) - 17*s(o).\nAnswer: -3*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, u: 1, o: 2, z: 6, d: 3}. What is prob of sequence zodo?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1062, 7618, 25350, 59826, 116614, 201282, 319398?\nAnswer: 476530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 0)\/(6\/(-12)). What is the third derivative of 0*n**2 - 2*n**i + 0*n**2 - 2*n**3 + n**3 wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6704, 6705, 6706?\n\"Answer: n + 6703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/5 + 174*k**2\/5 + 5904*k\/5.\nAnswer: -3*k*(k - 82)*(k + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 10:16 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 7 - -13 - 6) + (3 - 14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -29. Let k(r) = 2*r - 19. Let n(l) = 3*l - 22. Let w(t) = -2*k(t) + n(t). Give w(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 a factor of 1163304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3609490 - 7219016 + 15*s**2 + 3609526.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1650 = 3*i + 8*i. Is 50 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7231 by -18178.\nAnswer: -7231\/18178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 25*o - 44. Let d be x(23). Let r = 0.02 + -0.02. Let u be 4\/(-14) + (-6)\/28. Which is the closest to r? (a) d (b) -4\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 567*r**3\/2 + 334425555*r**2\/2 + 74316769*r\/2 + 4128709\/2.\nAnswer: (7*r + 4128709)*(9*r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7309 + 7306. Which is the closest to -38? (a) 0.1 (b) f (c) 0.6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**4\/12 - 6*k**3 + 37*k**2\/2 - 2*k + 11. List the prime factors of q(-26).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 893 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.8314 - -2.83. Let x = -0.00689 + h. Round x to 4 dps.\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 11:59 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1408)\/462*(-12)\/(-16).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22, 66, 144, 262, 426?\n\"Answer: w**3 + 11*w**2 + 4*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*t = -848, -557 + 1622 = 5*a - 4*t. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/3522 and 55\/191616.\nAnswer: 112478592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3 - 9883823*j**2 + 24422484331920*j + 24422494215744 = 0.\nAnswer: -1, 4941912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in -1\/2, 1\/2, -1, 5\/1157, -3?\nAnswer: 5\/1157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxaa when four letters picked without replacement from {d: 1, a: 2, l: 5, x: 1}.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(78) + (sqrt(78)*1*6 - sqrt(78)))\/(sqrt(294) - -4*(sqrt(294) + (sqrt(294)*3 - sqrt(294)) - sqrt(294)) - sqrt(294)).\nAnswer: -3*sqrt(13)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.37\nAnswer: 1.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11 >= 3886452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403818.\nAnswer: 2, 3, 17, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**5\/10 + 23*z**4\/6 - 7*z**3\/3 - 29*z**2\/2 - 27*z. Is t(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**3 + s**2 + 2*s - 1. Let b = 2438 + -2433. Let u(y) = 11*y**3 + 2*y**2 + 5*y - 2. Determine b*a(z) - 2*u(z).\nAnswer: 8*z**3 + z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**2\/7 - 24*d\/7 + 20\/7 = 0. Calculate d.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01013347441 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(40)*-5)\/(sqrt(100)\/sqrt(2)))**2.\nAnswer: -20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1933547*d**4 + 2*d*g - 2602626*g - 2 with respect to d.\nAnswer: 7734188*d**3 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**5 + 162942*x**4 + 4416018112*x**3 + 39567526746304*x**2 - 6648868372345344*x + 6609296429417984 = 0.\nAnswer: -27212, 1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 71086031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.062 + -0.038. Suppose s - 6 = 3*s. Let l = -1\/3 - -1. What is the nearest to l in s, -2\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5382)\/(-468) - (-484)\/40) + -28?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d = 4, 3*j = -5*d - 11589010. Round j to the nearest 100000.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112 - 108. Which is bigger: 3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -3113.655.\nAnswer: -3117.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2008 (base 12) in base 4?\nAnswer: -312020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -319 + b24?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(7) + sqrt(56)\/sqrt(2) - -2*(sqrt(847) + 1)) + -4.\nAnswer: -2 + 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5))**(2\/15)\/((s**(-1)*s*s)\/s**0) assuming s is positive.\nAnswer: s**(-79\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -333.7 and 483.\nAnswer: -161177.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 12:16 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 2*d**6\/15 + 2*d**5\/5 - 2*d**3 - d**2\/2 + 58*d. What is the second derivative of s(b) wrt b?\nAnswer: 48*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 2:45 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27471 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 253 - 272 = -n, -2*n + 26 = 2*j. Solve 2*g = -4*a - 16, 0 = -a - g + 1 - n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.7, -378, -9, -2?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -129.9 + 127.9. What is the fourth biggest value in -1, -155\/4, q, 4\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*x + w - 2*w, -5*x + 15 = -4*w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1048 is divided by -5 - (-8 - -4)\/4 - -16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85806712?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Suppose 1206*f = 1196*f + 20. Which is the closest to t? (a) -0.3 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783456?\nAnswer: 2, 3, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -177874 - -378207. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 8:04 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 44019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -584.7 + 580.7. Sort 0.3, -0.5, w, -2\/21, -2\/9.\nAnswer: w, -0.5, -2\/9, -2\/21, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 3*v = 19*q + 1424, v - 1432 = -5*q. Let y be (1 + 0)*-1 - -27. What is the greatest common divisor of q and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -180206.53484 to the nearest integer.\nAnswer: -180207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2330 - 6065*a - 2332 - 5927*a.\nAnswer: -11992*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*o = 152*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(2*4\/(-8)). Suppose -3*w = v*w - 680. What is the smallest common multiple of w and 5?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + 2 + -35 + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -1)\/2 - 1. Let v = h + 5. Find the first derivative of -1 - v*m**2 + 3*m**2 - m**3 wrt m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4003 + 4003.000138. What is n rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/3 and 11929\/56 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.16, 4, -223?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55.2 + -773.2. Let o = -718.001687 - m. What is o rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - q + 1. Let x(a) = a - 1. Let y(b) = r(b) + x(b). Let k(m) = -m**2. Calculate k(y(h)).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*a + 5*w + 8, -5*w + 4 = a. Let t = a - 4. Solve -5 - 5 = -5*s - 2*h, 5*s - 5*h - 45 = t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -770 divided by 5?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -703731, -703737, -703747, -703761, -703779, -703801?\nAnswer: -703827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 288319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 255*o. Let f(j) be the second derivative of -j**5\/60 + 11*j**3 - 10*j. Let z(t) be the second derivative of f(t). What is z(l(a))?\nAnswer: 2*a**2 - 510*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 18793\/121496?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djddjjjj. What is prob of sequence ddd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 108.9, -5, 29, 1.13, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33152 and 49728.\nAnswer: 99456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 4:31 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f - 12. Suppose -t**2 + t**3 - 3*t + f*t = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -10*w. Give l(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7379073.\nAnswer: 3, 13, 21023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -164*b + 350. Let q(u) = -29*u + 58. Let a(c) = 3*h(c) - 17*q(c). Let y(v) = -3*v. Calculate y(a(s)).\nAnswer: -3*s - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 6:23 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8412266, 8412269, 8412274, 8412281?\nAnswer: 8412290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 8:49 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131461623?\nAnswer: 3, 439, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, y: 2, n: 1, g: 1, f: 1}. What is prob of picking 2 n, 1 y, and 1 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6b7ca - -26?\nAnswer: 6b7f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3373866 to the nearest integer?\nAnswer: 1837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -964, -5, 0, -3, 11 in increasing order.\nAnswer: -964, -5, -3, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/4 of a minute?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -25 + 0 + -16 + 26\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*z - 0*t + 2, 16 = 5*z - 3*t. Suppose 0 = -2*i - q + 1, -3*q + 13 = 5*i + 11. Solve -4*m - 5 = 5*v, -z*m + v + i = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*v + 504 = -431, -2*v + 10 = 0. What are the prime factors of j?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47919759 + 38*s**3 + 47919759.\nAnswer: 38*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -5, -3, -1, 0.04?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -176659274.\nAnswer: 176659273.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 47*b**2 - 33*b + 1115. Calculate p(47).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193951 divided by -2.\nAnswer: -193951\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -3, 7, 17, 27?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296162*r = 296164*r - 390. Calculate the remainder when r is divided by 10\/(-65) - (-82)\/26.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 8*s + 43. Let c(o) be the second derivative of 16*o + 0 - 1\/6*o**4 - o**2 + 2\/3*o**s. Let c(t) = 0. Calculate t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0*j**5 + 0 + 1\/3*j**3 - 1\/8*j**4 + 1\/40*j**6 + 0*j + 2*j**2. Is 20 a factor of i(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41407 is divided by 79?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6010385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*3\/(-3) - -3. Suppose 25 = 3*k + q*k. Suppose -5*p = -2*c - 21, 4*p + 1 = k*c + 11. Solve 3*r + n = 4 - 1, 5*r + 2*n - p = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 2\/5 (c) 29 (d) 5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 5*o**2 + 2. Let x(g) = -g**2 + 4*g**3 - 6*g**3 - 3*g**3 + g. Let b be 4\/2*(-2)\/(-4). Let s be x(b). What is p(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 10:58 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 3*t**4 - 3*t + 80*t**3 + 0*t**2 + 0*t**2 - 79*t**3 - t**2 - 4 to the form f*t**4 + q*t**3 + k*t + v + c*t**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2676938*t**2 + 9*t - 16165887.\nAnswer: 5353876*t + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 39995.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*f + 77*f + 206*f as z*f + w and give z.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -j - 0. Let k = -1 + 3. Let g(f) = -3*f - f**2 + 6*f**k + 0*f**2 - 4 - j*f**2. Calculate g(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6570*z + 210 = 6573*z. Solve z*s - 74*s = 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.979687 days to hours.\nAnswer: 119.512488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 + 7*t**2 - 7. Let z(n) = -6 + 3*n**3 - 2*n**3 - 3 + 6 + 3*n**2. Suppose 45 = 3*o + 2*o. What is o*z(h) - 4*c(h)?\nAnswer: h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*k = -0*k + 288, 120 = 2*j + 4*k. Suppose 4*v - 1 = 3*v. Suppose 17 = 2*b + v. Calculate the greatest common factor of b and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 805601 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (0 + 0)) + (-65 - -63)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 8*z + z + 4*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**4 + 11*y**3 - 26*y + 2 wrt y?\nAnswer: -12*y**2 + 66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-4))\/((-538)\/136 + 4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3\/2 (b) 2\/7 (c) -4 (d) -2\/31 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10726, -21454, -32182, -42910, -53638?\nAnswer: -64366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/4*275\/275*68\/(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15313676?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -2*u - 4, n = 5*u + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 7*a + 11*a = -4, -8*r + 3*a + 9 + 0 = -5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 1310 = i. Let x = 71 - i. Let n = 61 + x. Solve 3*p - u - n = 11, u + 22 = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -59. What is the third biggest value in w, 0.04, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5 = 3*u, -4*i + 5*u - 4*u + 15 = 0. Let d be (12\/(-72))\/((-1)\/i). Determine k so that 0 + d*k**3 + 0*k + 2\/3*k**5 + 4\/3*k**4 + 0*k**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 - -58.844. Let s = c - -6.156. Is s less than or equal to 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/55, 0.3, -2, 3.\nAnswer: -2, 0, 2\/55, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -145 - -170. Calculate the remainder when ((-108)\/a)\/((-26)\/65)*25 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5 = 5. What is the third derivative of -6*c**2 + 0 + v*c**2 + 0 - c**3 wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*k**2 + 250*k - 250*k)*(0 + 0 - 2 - 7*k**2) in the form o + u*k**4 + s*k**2 + x*k**3 + m*k and give u.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.2, 5, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**3 - 41*s**2 - 7*s. Let v be g(7). Let h be (-2)\/3 + 5\/(-9). Which is bigger: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 3*n - 3. Suppose 13*z - 9*z - 1 = -r, 10 = -5*r - 5*z. Calculate t(r).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -0*v - 5*v, 5*i - 5*v + 25 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285368003?\nAnswer: 285368003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4\/2 + 48*q**3 + 159*q**2 - 48*q - 315\/2 = 0. Calculate q.\nAnswer: -3, -1, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 49\/4 of a microsecond?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*60\/(-4)*-2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 474946 - 474946 + 37*s**2 + 17*s**2. Let d(v) = -7*v. Calculate d(r(f)).\nAnswer: -378*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 - b - 1. Let c(g) = -4*g**2 + g + 1. Let a(h) = 2*c(h) + 3*u(h). What is the smallest common multiple of a(2) and (1\/(-4))\/((-4)\/48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 18. Let p be -1 - (-4 + 3 - 18). Let m be b(p). Let l be m + (-1)\/((-4)\/16). Solve -t + l*x + 2 = 12, x - 9 = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuyywz. What is prob of sequence uwz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.9108038 months?\nAnswer: 0.00015923365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/193368 and -143\/24.\nAnswer: 193368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -854 + 979. What is the greatest common factor of s and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000327636229 rounded to 7 dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -639, -2147, -5091, -9951?\nAnswer: -17207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 678 divide 247439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.05, -30, 2\/9, -2\/47, -5 in ascending order.\nAnswer: -30, -5, -2, -0.05, -2\/47, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.278, 18, -0.06, -5?\nAnswer: 0.278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -2\/5*n**5 + 0*n**2 + 0*n**4 - 4*n + 0*n**3 + 3. Differentiate r(w) wrt w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/11)\/k**(6\/11))**(-5\/2) assuming k is positive.\nAnswer: k**(15\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15700 + -15700. Let m = -10 - -15. Sort x, m, 12 in decreasing order.\nAnswer: 12, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Suppose 4*z + 1 + 15 = 4*q, -3*q + 2*z + 11 = 0. Let o(w) = -q*w**2 + 11*w**2 + w**2. Calculate m(o(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 34 = -12*c + 11*c, -m - 8 = 0. Let r = 0.07 + -0.23. Which is smaller: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2053 is divided by 121.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12)*(-6612)\/87.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11953367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2231 + -1801. Sort 0.4, -2\/15, i in decreasing order.\nAnswer: i, 0.4, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9771007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*s - 125 = 0, 0 = 3*s - 5*s - 10. Let x be g\/6 + 2\/3. Let n be ((-2)\/(-24))\/(-11 + (-238)\/(-21)). What is the nearest to -1 in x, 0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6515, 12994, 19473?\n\"Answer: 6479*l + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -16*h - 1. Let a(g) = 270510*g + 17040. What is a(v) + 17040*k(v)?\nAnswer: -2130*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -566655 (base 7) to base 13\nAnswer: -36b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1180.1 + 1180.10008774. Round y to 6 decimal places.\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 153171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201766.\nAnswer: 2, 600883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 + 35*n**2 - 66*n**2 + 31*n**2.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/2 (b) 0.2 (c) -2 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27692 or 193852\/7?\nAnswer: 193852\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3 - 319944*v**2 + 8530346928*v = 0. What is v?\nAnswer: 0, 53324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2237 by 16.\nAnswer: 2237\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000245637094 to seven dps.\nAnswer: -0.0002456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54692, 54330, 53982, 53654, 53352, 53082, 52850, 52662?\nAnswer: 52524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7871 = 1261*s - 52657 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 7*x**2 - 9)*(3*x**3 - 5*x**3 + 3*x**3 + (0 + 0 + x**2)*(3*x - 3*x + x) + x**3 - 4*x + 4*x + 4*x**3 + 2*x**3 - 4*x**3).\nAnswer: 35*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 439211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 703 + -702.9663. What is x rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 8, -26 in ascending order.\nAnswer: -26, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/56)\/((-1682)\/(-612248))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/2*(-3)\/(-30)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - 2*(sqrt(567) + 0) - (sqrt(567) - (0 + sqrt(567) + -3))) + -4 + (sqrt(567) + 0)*-3)**2.\nAnswer: 504*sqrt(7) + 9121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723245 to the power of 1\/2, to the nearest integer?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 4:35 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2*w + 3046, -2*l + 4*w + 1165 = -1887. List the prime factors of l.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4531\/9 - -701882\/1395. Let l = d - 3\/31. Sort -1\/15, l, 5\/4, 3.\nAnswer: l, -1\/15, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14473, 58260, 131231, 233380, 364701?\n\"Answer: -d**3 + 14598*d**2 - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 3:55 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 612, 1535, 2834, 4569, 6800, 9587?\n\"Answer: 10*t**3 + 128*t**2 + 469*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2655820 is divided by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/(-6)*(-996)\/1162.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1825 + 1826.391. Let f = u + -1.35112. Let y = f - 0.04. What is y rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0 = 8. Suppose -16 = 3*i + 3*c + 8, 17 = i - n*c. Sort 1, -2, i in increasing order.\nAnswer: i, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77750927 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -57c + -3?\nAnswer: -57f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 + 52 - 35*j**4 - 25 + (-4 + 2 + 0)*(2*j**4 - 3*j**2 + 3*j**2) to q*j**3 + p*j**4 + a*j + h*j**2 + u and give p.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174*s**3 + 28*s**2 + 2*s?\nAnswer: 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**4\/4 + 7*f**3\/6 + 19*f. Let c(m) = 2*m**2 + 5*m. Let n(y) = -7*c(y) + 5*r(y). Let l(w) = -11*w**2. Determine l(n(p)).\nAnswer: -11*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 280344498 a multiple of 831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140639 - -140521. Let j be ((-24)\/(-14) - 1) + -1. Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 1\/1)\/1. Suppose -y + v + 7 = 0, -8 - 3 = -y + 2*v. Suppose z = u + y*u - 24. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 47, 5 in descending order.\nAnswer: 47, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 24*m + 3. Let h(x) = -x**2 + 23*x + 4. Let d be (4\/(-7))\/((-11)\/77). Let k(u) = d*f(u) - 5*h(u). What are the prime factors of k(22)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 4*q + 2. Let w = -10 + 6. Let y be j(w). Solve -3*h = -y*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 17*c**2 - 372*c - 41. Let z be s(22). What is the closest to -0.1 in z, -5\/3, -0.7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25.19? (a) -0.3 (b) -20 (c) 9 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*y - 13. Suppose 2*h - 5752 = -y*w + 18548, 0 = 3*h - 2*w - 36450. What is h rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = -4*r, 3*f + 0*f = -4*r + 89. Suppose 5*x + f = 3*m - 4*m, 4*x + 22 = m. Which is the nearest to -2\/5? (a) m (b) -0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -500363500*h**3 + 141400659*h?\nAnswer: -3002181000*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13120110 (base 4) to base 12\nAnswer: 155b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 10*n - 2. Let p(t) = -10*t - 4. Give p(h(r)).\nAnswer: -100*r + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -5. Suppose 8 = -3*s - 2*t, -5*t - m - 2 = 2*s. Let v = -6 - s. Let r(y) = -y**3 - 6*y**2 - 4*y - 3. Give r(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -109154622 and -11.\nAnswer: -109154633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-7))*f**(2\/13))**(3\/40)*f\/((f**(2\/17)\/f)\/f*f)*f\/f**(-4)*(f**(-1))**(8\/3) assuming f is positive.\nAnswer: f**(98183\/26520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 0. Let p = 1480.66 - 1516. Let j = p - r. Round j to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0\/(0 + -1) - (126 - 117)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x - 3 = -2*g - 16*x, 2*g = x - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1024 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3*-8.992621\nAnswer: -26.977863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -404 divided by 101.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -255 (base 9) to base 2.\nAnswer: -11010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**3 - 17*s**2\/2 - 7*s + 5. Is u(7) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12112033322 (base 4) in base 8?\nAnswer: 6261772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 - 5.3. Let r = 9.2 - 0.2. Let u = r - 14. What is the second smallest value in v, u, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 5\/(20\/(-16)) + 2. Suppose 4*o - 12 = -x*o. Suppose 2*c = -o*q + 7800, 0 = -2*q - q. Round c to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73241 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 133 (b) 2 (c) -0.1 (d) -0.13 (e) 3 (f) -10 (g) -2\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122132024 - -13?\nAnswer: 122132042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1121*c*r*v + c*r - 2774*c*v**3 - r*v**3 - 2*r*v**2 + 2*v wrt v?\nAnswer: -16644*c - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -64 - 65. Suppose 5*u + 4*b + m = 11, 2*b + 2 = u. Find the common denominator of 58\/u*(-2)\/(-22) and -83\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -466450 divided by -50?\nAnswer: 9329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -17340 divided by -4?\nAnswer: 4335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 4*t + t)*(-2*t - t**2 + 2*t) - t**3 - 4*t**3 - t**3 + (3*t - 3*t + 2*t)*(-t**2 - t + t) + t**3 + 2*t**3 + 0*t**3 + 5*t**3 + 2*t**3 - 6*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -22 - (-10 - 0)) + 1 - -9.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -2, -0.1, -0.13, 0.02, 9.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 478561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 9 = y, 3*o = 3*y + 9. Solve 22*w - 20*w - 6 = o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-15)*(-78)\/221.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2847.8701 + -2848. What is i rounded to three dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-20)\/(q\/(q**(29\/4)\/q)) assuming q is positive.\nAnswer: q**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8*((-76)\/(-190))\/((-72)\/(-10)). What is the third biggest value in 2, r, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19884, -19892, -19900, -19908?\n\"Answer: -8*q - 19876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5119, 10238, 15357, 20476, 25595?\n\"Answer: 5119*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*i**2 - 186\/5*i - 364\/5.\nAnswer: -2*(i + 2)*(i + 91)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/(-50) + (-116)\/(-340))*(-12)\/246. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmg when three letters picked without replacement from {n: 1, g: 2, q: 3, m: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2371806 is divided by 2133?\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 69?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (276\/2622)\/((-6)\/(-969)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19998*u**5 + 1256*u**4 - 2*u**3 + 2441*u**2 + 1360*u wrt u?\nAnswer: -1199880*u**2 + 30144*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Let o(v) = -v**x + 0*v**2 + 0*v**2. Let g(p) = 6*p**2 - 8*p. Let a(q) = 2*q**2 - 3*q. Let r(h) = -8*a(h) + 3*g(h). Calculate r(o(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 2:29 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 6983845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.2, -19956543, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -81, 6, 81, 144, 195, 234?\n\"Answer: -6*n**2 + 105*n - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6165 is divided by 176?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1053282434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*x - 155 = -263*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**2 - 646*r + 7557. Calculate g(-140).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**6 - q**4 - 316*q**3 + 8090*q**2 - 10*q + 2 wrt q?\nAnswer: -480*q**3 - 24*q - 1896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 1. Let o(f) = -4. Let w(z) = 2*i(z) + o(z). Let p be w(4). Let k(u) = -u + 2. Let r be k(p). Put r, -1, -0.5 in decreasing order.\nAnswer: r, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + -3 - (-1890 + -15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5401 - -5400.9999998519. Round q to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**4 + 46*c**3 - 216 wrt c.\nAnswer: 12*c**3 + 138*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 2123301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10696.9996892 + -10697. What is j rounded to five decimal places?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352499 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -24 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 14*f**2 + 10*f - 38. Let c be b(-13). Let d = 24 + -12. Let y = d - 17. What is the third smallest value in 0, y, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**4 + 3 - 3 + (-2*a**3 + 59*a**3 + 11*a**3)*(-3*a + 4 - 4) + a**4 - 2*a**4 - 2*a**4 in the form h*a**4 + o + c*a**2 + z*a**3 + b*a and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2227 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 5*d**4\/12 + 1310*d**3 + 1544490*d**2 + 5168*d. Factor o(k).\nAnswer: 5*(k + 786)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/3540 and 87\/14?\nAnswer: 24780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -37 + (0 - (7 - (-3 + 3)) - (40 - 36))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**6\/120 + z**5\/12 - z**4\/24 + 5*z**2\/2 + 5. Let d(s) be the second derivative of m(s). Calculate d(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*a**2 - 40*a**2 - 11*a**2 + 1 - 1.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) -32172\/5 (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(325) + (-2 + sqrt(325))*-5)**2 - sqrt(325) - (2*sqrt(325) + 5) - (1 + -4*-4*sqrt(325))).\nAnswer: -495*sqrt(13) + 5297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 21 + 4*b**3 - 19 - b + 41. Let z be (-14)\/(560\/(-24)) + (-4)\/(-10). Determine y(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 864 = -4*n, 0 = -4*n - 2*d + 772 + 82. Let j be (-74)\/(-14) + 8\/(-28). Suppose 0 = -o + 5*c + 37, c - n = -j*o + o. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1115 - 4?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k - 13. Let v be r(-5). Let t = v + -22. Suppose -19 - 33 = -4*p + 3*n, n = -t*p + 84. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.28, 218, 3\/4, -2\/39 in ascending order.\nAnswer: -3, -0.28, -2\/39, 3\/4, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 132300516 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**5 + 2*m**5 - m**5 + (2*m + m - m)*(-2*m**2 + 2*m**2 + m**4) - 2 - 7*m**5 - m**4 + 69666*m**2 - 69666*m**2.\nAnswer: -4*m**5 - m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*n - 2*t, 4*t + 9 = 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -m + 3*m + 20, -3*f = 3*m + 6. Let t = 1036 - 1042. Is 79*m*2\/t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**3 + 1598330 - 1598330 + 2*n - 2*n.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p + 3*p)*(0 - 1 + 0)*(-3*p + 7*p + 0*p + (1 + 1 + 0)*(-2 + 2 - p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/3962380 and -22\/6141689.\nAnswer: 122833780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2 + 3*m. Give g(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 902 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - b - 36 = 0, -419*h - 4*b - 18 = -417*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6579*v - 7610*v + 15465 = 0 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -558*c - 10750 = 337*c + 607*c - 72332 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*d = 0, 6*d = 5*d. Find the common denominator of 25*(-2)\/22 + (-2 - t) and 44\/13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5596 - 1388. Calculate the greatest common divisor of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(360\/(-84))\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13964190 - -516740046\/37. Let a = s - 1757. Let p = -151\/407 + a. What is the third biggest value in p, -0.1, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 13*x - 14. Calculate r(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28 times -227\nAnswer: -6356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 - w + 0*w**4 - 106 + w**2 + 3*w**4 + 108 in the form l + k*w**3 + q*w + s*w**4 + h*w**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15426 is divided by 3713.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-10))\/((-1)\/(-5)). Suppose -5*f - 3 = g, -2*f = -3*q + 35. Let n = q + -5. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-230)\/(-315) + -1 - 8\/336*12.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200.05546 rounded to 1 decimal place?\nAnswer: 1200.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + x. Let h(z) = z**2 - z - 1. Let s = -4 - -4. Let v be h(s). Let m(i) = -i**2 + i. Calculate v*m(o) + q(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.00676 + -0.00676. Which is the second smallest value? (a) 5\/3 (b) 0 (c) t (d) -0.3 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 94, 198, 314, 448, 606, 794, 1018?\n\"Answer: x**3 + 97*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w + 8*w + 11*w)*(-2 - 4 + 3)*(-7*w - w + w) - 2*w**2 + w**2 + 5*w**2.\nAnswer: 235*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 3*v**2 + 3*v**2)*(2*v + 2*v - 2*v)*(459 + 907 + 366)*(-5 + 5 - 4).\nAnswer: 13856*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530977 is divided by 58951.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -18. Is ((-1)\/w)\/(6 + (-7001)\/1167) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.05 - -0.15. Let z = b - -1.4. Put z, -0.1, -1 in ascending order.\nAnswer: -1, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 774*g**2 + 777*g**2 + 243*g**2.\nAnswer: 1794*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15504 + 38459 = 3224*f - 73*f - 43718 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -77\/2. What is the nearest to -15 in u, 2\/5, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/85 in -2\/7, 3, -2\/5, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 2:48 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3357 = 14*n + 2341. Let x = n + 428. What is the greatest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-83220)\/(-80) + -7 + (3\/(-12) - -2) is divided by 86?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 6)*(6*s**4 - 14*s**3 + 14*s**3) to the form h*s + j + d*s**3 + x*s**2 + t*s**4 and give t.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grhrrgttggdrrghihdrr. What is prob of sequence gr?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/5 + 22883\/3015. Let z be (-9)\/30 - ((-22239)\/6030 + 3). Let o = z + i. What is the common denominator of -97\/4 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -7\/5*y**5 - y**2 + 0*y + 8 + 0*y**3 + 0*y**4 + 13\/60*y**6. Find the third derivative of x(k) wrt k.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 0 + 16 - (2 + -34)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2 + 303*z + 10 - 301*z. Determine i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - ((-36)\/30)\/((-3)\/(-30)). Solve -2*v - 8 = 0, -2*j + g*j + 2*v + 14 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**5 + 1845*h**4\/4 + 143009*h**3\/4 - 255007*h**2\/4 + 73587*h\/4 + 18281\/2 = 0.\nAnswer: -362, -101, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 4. Suppose n + 2 = -4*t - 6, 0 = -3*n + 5*t + 27. Let s = n + -9. What is the units digit of r(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5\/2 - 29707*y**4 + 594315*y**3\/2 + 2228150*y**2 - 14857250*y - 74280000 = 0.\nAnswer: -59424, -5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24028 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1103 (base 4) to base 16.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2746 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 209234.4ml?\nAnswer: 209.2344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 673345*c**4*r**2 + 395574*r**2 + 5*r wrt c.\nAnswer: 2693380*c**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*r - 12 = 0, 18*r - 8 = 16*r. Suppose 8*h - 180 + 44 = 0. Solve p*x = x - 2*v - 10, -5*x - v = -h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -18\/7, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 22 = 12, -d + 4*x - 759 = 0. Let i = 1328 + d. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138793, -277610, -416437, -555274, -694121, -832978?\nAnswer: -971845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13937764*i**3 - 2*i**2 + 35907*i - 339.\nAnswer: -83626584*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 6, 2*f = -f + d + 45. What is the highest common divisor of 567 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3838232 is divided by 961.\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 348 - 276. Suppose 0 = -2*n + 56 + 48. Suppose n = s - 3*r, s - 2*r = 3*s - b. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 105\/4 (b) -27\/7 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4)\/((-9)\/12). What is the third derivative of 110*k**2 - 16*k**3 + 4*k - 11*k**3 - 98*k**u wrt k?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84\/5 - -914\/55. Which is the third smallest value? (a) -5\/4 (b) -17 (c) q (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2. Suppose 115 = 3*v + 76. Let b be (-4)\/14 - 216\/(-21). Let a(u) = -b*u + 3*u + v*u. What is k(a(g))?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 282997733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (4*(-1 + sqrt(637))*-1 - (sqrt(637) + -6*(0 + sqrt(637)) + 3)))**2.\nAnswer: 14*sqrt(13) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h**2*o + 2*h**2 - 29*h*o**2 - 14*h + o**2 + 21*o + 75 wrt o?\nAnswer: 3*h**2 - 58*h*o + 2*o + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o**3 - 6*o**2 - 2*o - 7. Let w(b) = -17*b**3 + 13*b**2 + 4*b + 15. What is -13*c(z) - 6*w(z)?\nAnswer: -2*z**3 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 + 5*z - 2. Let u be d(2). Let m(w) = w**3 - 6*w**2 + 2*w. Let f be m(7). Suppose -s = -u*s - f. Does 31 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146544 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s + 1715 = -3085. Let h = -314 - s. Solve 3*u = -3*l, -3*u - 2*u = 2*l + h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82313825, -82313829, -82313833, -82313837, -82313841?\nAnswer: -82313845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 1168 - 5809 = 0. List the prime factors of v.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one sixteenth of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10752*l = -10759*l, 0 = -7*j - 3*l + 112 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 208887376 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -160, -191, -222?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4 = 8*r + 4*a, -5*r + 3 = 3*a. Let y be 144\/(-1008)*42\/16. Are r and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 11. Let o = -13 - t. Let q(l) = 0*l**2 + 0*l**2 - o - 5*l + 0 + l**2. Give q(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3767, 3838, 3899, 3944, 3967, 3962?\nAnswer: 3923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -3*t**2 + 0*t + 0*t**3 - 2\/15*t**5 + 0 + 0*t**4. Let d(w) = -2*w. Calculate l(d(y)).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.096*2439\nAnswer: 234.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*h = 255*h - 2*w - 353, -4*w - 118 = -h - 51 for h.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2822722?\nAnswer: 2, 7, 201623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -4, 54 in increasing order.\nAnswer: -5, -4, 0, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/((133\/266)\/((-2)\/(-4)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 4*o + 9. Determine c(6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -1\/16*h**8 + 0*h**5 + 35\/24*h**4 + 0*h**3 - h**2 + 0*h + 0*h**6 + 0 + 0*h**7. What is the second derivative of v(o) wrt o?\nAnswer: -420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 5*x**2 - 3*x - 17. Determine d(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6614 is divided by 6594?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4\/5)*d*d**(2\/27)*d*d*d*d)**(-30) assuming d is positive.\nAnswer: d**(-1424\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2)*-10*8\/(-100).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 188\/658 - (-465)\/(-84)\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = -208800 - 59600. What is h rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 9*i - 12. Let k = -282 - -435. Let n be (-18)\/15 - k\/(-15). Give q(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 6177 = -6173, -2*q - 3*b + 2*b - b = q + 65 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8111070 and 8820?\nAnswer: 794884860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 778259\/65 + -11973. Find the common denominator of t and 1\/3100.\nAnswer: 40300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 + 106. Let p(k) = -k**2 - 4*k - 3. Let z(w) = w**2 + 4*w. Let g be z(-3). Let u be p(g). Solve -s*t - t + 5 = u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n - 18 = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34 + 101675?\nAnswer: 101731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -15*w**2\/2 + 12*w + 13. Suppose 4008*j = 4010*j + 24. Let g(l) = l - 1. What is j*g(z) - f(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (3 - 6) - 3) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -872 from -797.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2187, 2450, 2725, 3018, 3335, 3682, 4065?\n\"Answer: w**3 + 256*w + 1930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r**2. Let t(o) = 158*o - 180. Let u(n) = -58302*n + 66360. Let z(y) = 2212*t(y) + 6*u(y). Give z(p(m)).\nAnswer: -1896*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -1612, 4 in descending order.\nAnswer: 4, 3, -3, -1612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8063 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 - f**3 + 0*f**2 + 3*f**3 - 3*f**3 - 2*f**3 + 2*f**3 + 0*f**3 - 4*f**3 + (-2*f - f + 5*f)*(-2*f**2 + 3 - 3).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-180)\/(-70))\/((-1)\/(-14)). Suppose -y + z = -24. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 143 + -141. Let z(d) = 44*d**3 + 2*d**2 + 3*d - 12. List the prime factors of z(i).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 5*h - 6, 0 = 206898*s - 206897*s - 4*h - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-3 + -9)*-174. Suppose 5*t = -d + m, -2*t - 4*d - d + 14 = 0. Solve 4*q - 2*v + 0 = -6, 0 = q - 5*v - t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 745 and 40?\nAnswer: 5960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33\/(-9)*-9*-1. Let w = j + 35. Suppose 80 = -w*o + 4*o. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 + 55*j**2 - 125*j + 77. Calculate c(25).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2404 + 1?\nAnswer: 2410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 788 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (12 + (-26 + 15 - -11))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**3 - 8*o**2 + 9*o - 13. Let z(a) = a**3 + 2*a**2 - 2*a + 3. Give 2*w(f) + 9*z(f).\nAnswer: -f**3 + 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 20*k + 53. Let r be m(6). Suppose 0*w - 12 = -3*w. Suppose -w*p - p - 10 = 0. Put r, -4, p in descending order.\nAnswer: r, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -604082 smaller than -604082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 1\/12*f**3 - 209 + f + 1\/2*f**2. Suppose v(d) = 0. Calculate d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 11*p**3\/3 + p**2 + 77*p + 134. Differentiate x(h) with respect to h.\nAnswer: 22*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-555)\/85 - -7)*(-616)\/352?\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(525)*3)\/((sqrt(147) - (sqrt(147) - (sqrt(147) + -1*(1*sqrt(147) - sqrt(147) - sqrt(147))) - sqrt(147))) + sqrt(147)).\nAnswer: -15*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000134924 to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2 - 13780*t - 34684324 = 0.\nAnswer: -10466, -3314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10114*g**2 - 137. Let m(o) = 5*o. Calculate m(y(d)).\nAnswer: 50570*d**2 - 685","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/9 + 1346*s**2 - 72740*s\/9 + 32336\/3.\nAnswer: 2*(s - 4)*(s - 2)*(s + 6063)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2549586*v**3 - 16*v**2 - v - 1 + 2549586*v**3 - 2*v**4 to u*v**2 + f + d*v + p*v**3 + h*v**4 and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(847) - 1*(sqrt(847) + -1 - sqrt(847)) - sqrt(847)))**2 + sqrt(70)\/(sqrt(20)\/sqrt(2)*-3)*-1.\nAnswer: sqrt(7)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*q - 21*q = 46*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60184 less than 120369\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 2*g - 2*d, 2*g + 3*g - 2*d - 160 = 0. What is the smallest common multiple of 124 and g?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28408495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 171077 or 170984?\nAnswer: 171077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 364484451 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4 - 9\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*g - g + 9, -3*g + q = 0. Let d be ((-1)\/2)\/(g\/2). Let x(b) = 41*b**2 + 2*b + 1. Let t be x(d). Calculate the highest common factor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t + 72956 = 3*a + 73109, 0 = -2*t + 5*a - 42 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -484\/17 or 0?\nAnswer: -484\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3677405 divided by 265.\nAnswer: 13877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 8)*(6\/(-9) + 1). Let b(t) = 4*t**2 - 1. Let o be b(-1). Let s = v - o. Are -4 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -119, -341, -765, -1457, -2483, -3909?\nAnswer: -5801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 375\/(-21) + (-10)\/70. Is b not equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1343405 (base 7) to base 2\nAnswer: -101011101011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 20 = -15*j. Let s be ((j - -2) + -1)\/(2\/214). Let b = s + 111. Solve -12 + 4 = b*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 433672, 867350, 1301030, 1734712, 2168396?\nAnswer: 2602082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 34*k + 11 - 15 to the form q + d*k and give d.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 23*f - 19. Let s be p(2). Let w be 3\/10*9\/s. What is the second smallest value in 2\/17, 5, 5\/2, w?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*((sqrt(68)*-2 + sqrt(68) - sqrt(68)) + sqrt(68)).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*l - 281, -l + 185 = 108*q - 106*q. Calculate the greatest common divisor of q and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiyyyyiiiiiiyyyiyyii. What is prob of picking 2 y?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, -475, -933, -1565, -2365, -3327?\nAnswer: -4445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57 - 6) + (-43 - -29) + 23.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330 greater than or equal to 26315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - 0 - 1) + 74 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m**2 + 2*m**2 + 2*m**2)*(4 - 3 - 2) + 5*m**2 - 2*m**2 - 2*m**2 + (5 - 4 + 3 + m)*(4 - 4 + 2*m) to b*m**2 + c + r*m and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 1. Let z(q) = -q**2 + 2*q - 2. Determine g(u) + z(u).\nAnswer: -u**2 + 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 5*g**2 - 3*g. Suppose -8*j = -5*j - 3*f + 9, -2*f - 6 = 4*j. Let h(x) = 3*x**3 - 16*x**2 - 10*x. Calculate j*h(q) + 7*n(q).\nAnswer: q**3 - 3*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 19 = 3*o, -5 = v - 0. Suppose 4*c - 892 = -188. Suppose 5*i + 2*a - c = 0, -3*a = -o*i + 2*a + 118. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3*f + 7 = 0, -29*w = -31*w - 3*f + 22 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8700 = 9*y - 4*y. Let q = y + -10465\/6. Find the common denominator of q and -10\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + -11. Let c(f) = 4*f**2 + 6*f + 6. Let h be c(-4). Let t = j + h. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1 - 5*t**2 + t**3 - 2 + 0. Let b(x) = -4*x - 1. Let p be b(-4). Let i be 3\/(-15) - (-78)\/p. Give r(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 3*i + 0*i)*(2*i**3 + 2*i**3 - 5*i**3) + (-3*i**3 - 3*i**3 + 5*i**3)*(56*i + 5 - 5).\nAnswer: -58*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q**2 + 3*q**2 - q + 3864 + 14*q**2 - 3864. Let n(i) = 2*i**2. What is n(p(o))?\nAnswer: 242*o**4 - 44*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-1))\/(2 + -3). Suppose 7*l = 3*l - 3*g + 7, -2*l - u = -5*g. Which is the second smallest value? (a) -1\/7 (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001201 (base 4) in base 12?\nAnswer: -2515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3844\/3*j + 4\/9*j**3 - 119164\/9 - 124\/3*j**2.\nAnswer: 4*(j - 31)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*p**3 - 90*p**3 + 1 - 1.\nAnswer: -370*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*r - 21 = 0, -4*w - 4*r - 19 + 55 = 0. Which is the biggest value? (a) 3 (b) 213 (c) -5 (d) 3\/5 (e) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of v**3 + 482*v**2 + 2181?\nAnswer: 3*v**2 + 964*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214879.\nAnswer: 7, 30697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*p - 91210 + 134183 = 1019*p for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1356 from 19432.64.\nAnswer: 20788.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298058 = 5*m - 2*h - 81133, 0 = -4*m - 4*h + 303336. What are the prime factors of m?\nAnswer: 3, 17, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 4a695?\nAnswer: 4a69c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2455949*t**5 + 810685*t**2 wrt t.\nAnswer: 147356940*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h - 674 - 3*h + 674 - 9*h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/157, -4, -2\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -11*v + 22. Let o = -90 + 92. Let j be z(o). Differentiate -47*i**2 + 12 + j*i**2 - 1 + 13 with respect to i.\nAnswer: -94*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -1020?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/42 and -2 + 44\/(-27) - (11 - 17).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 885 = 22*g - 19*g. Suppose -3*p = 2*p - g. What are the prime factors of p?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4198550 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -14*x**2 - x - 2. Let r(t) = t + 1. Let v(c) = -q(c) - 2*r(c). Let f(l) = l**2 - 4*l + 3. Let u be f(2). What are the prime factors of v(u)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4\/213, 4, 3, -1\/144?\nAnswer: -4\/213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62569 is divided by 47.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m. Let j(t) = -t**2 + 2*t + 1. Let z(s) = 5*s**2 - 12*s - 6. Let f(a) = 6*j(a) + z(a). Calculate f(v(k)).\nAnswer: -49*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**2. Let w(x) = x**3 + 7*x**2 + 6*x. Let z be w(-6). Let c(g) be the first derivative of 2 + z*g - 1\/2*g**2. What is s(c(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -888*z**4 - 28406*z**3 + z**2 + 3*z - 15797536 wrt z.\nAnswer: -21312*z - 170436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 6. Suppose 0 = i*s - 3*r - 454, -s = -0*s + r - 94. Let j = s + -46. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -177 in ascending order.\nAnswer: -177, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 + 105. Let r be (6\/y)\/(2\/(-12)). Solve 5*x = 6*x + 2*s + 3, 2*s + r = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58050 by -5.\nAnswer: 11610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 348529.1 and 0.1499?\nAnswer: 348528.9501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -56*z - 30*z. Let w = -60 - -184\/3. Let l be -1 - (1 + 1)*-2. Which is the biggest value? (a) 3\/5 (b) w (c) z (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-268)\/(-8) + 3\/6. Suppose 2*g + 8 = q. Suppose 3*t - g + 1 = 0. Let a(k) = -k**3 + 5*k**2 - 5*k + 5. What is a(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 650 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f**(-4)*f)\/f))\/(f**(-2\/3)*f*f*f))\/(f*(f**0\/f*f)\/f*f)**(-5) assuming f is positive.\nAnswer: f**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*h**5*t**2 + h**4*t**2 - 79*h**2*t**2 + 2*h**2*t + 3*h*t**2 wrt h?\nAnswer: -2760*h**2*t**2 + 24*h*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 0.1 (c) -4 (d) 0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382854 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**3 + 3*u**3 - u**3)*(0*u + 2*u - 9*u) + 0*u**4 + 3*u**4 + u**4.\nAnswer: -52*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -79, 1798, -1 in ascending order.\nAnswer: -79, -1, 0, 1798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12505 or 0.3?\nAnswer: 12505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450896 is divided by 112517?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159515 is divided by 159508?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308, -615, -922, -1229, -1536, -1843?\nAnswer: -2150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*s + 136 + 2093, -2*q = s - 1127. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(127 + 128 + 173)*(3*l - 1 - 7*l + 5*l) to the form c + w*l and give c.\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 5:55 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/3 - (-2)\/(-4))*-2. Let n(d) = -2*d**2 + 14*d - 29. Let b be n(4). Let s be (b\/(-9 + -1))\/(3\/6). Solve s = a*m - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 12 - 122*m**4 + 121*m**4 + 0*m**3 + 41*m - 13*m + 19*m**2 + 2*m**3 = 0.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 1:16 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 9. Let j = -7 - w. Solve v = -0*v + j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((t - 2 + 2)*(1 + 1 + 0) + 0*t + 0*t + t + 0 + 0 + 3*t + 2*t + 1165 - 1146 + 1329)*(0 - 2 + 0) to the form u + a*t and give u.\nAnswer: -2696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.42 - -0.542\nAnswer: 0.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (109 - (192 - 50))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 3*z**2 + 4*z + 2. Let q be w(-4). Let y = 59 + q. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**2 - 20*m + 13. Is f(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15768563?\nAnswer: 137, 115099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 25*s**4\/4 - 5*s**3\/3 - 8*s**2 - 4*s - 3. Factor f(o).\nAnswer: (o - 1)*(5*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32409308?\nAnswer: 2, 1381, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 38*y + 6842. Determine a(104).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*g - 128 = 26 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1067440 and 1115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)\/y)\/(y\/(y\/y**(4\/3)))*(y**(-3\/4)*y)**(-29) assuming y is positive.\nAnswer: y**(-551\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from {i: 3, x: 2, c: 2, p: 1, r: 4, m: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*z = z + 14, 3*i = z + 2. Suppose 12 = 5*k + i. Let j = 24 - 24.2. Is j at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3248 divided by -7.\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8046842 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) -61 (c) -0.9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**4\/4 + 5*f**3\/3 + 2*f**2 + 3*f - 1. Let h = 40 + -38. Suppose -h*u = 2*u + 12. What is a(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2\/13*a**3 + 0 + 6\/13*a + 4\/13*a**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 10*j**3 + 3*j.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*x - 6*x - 3*y - 4, 2*x = 2*y + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80310.\nAnswer: 2, 3, 5, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -17. Calculate the least common multiple of 4 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -481 + 481 - u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**2 + 25*c. Let f(y) = 3*y - 60. Calculate m(f(t)).\nAnswer: 36*t**2 - 1365*t + 12900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 2 (b) -0.16 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16419295?\nAnswer: 5, 727, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1098 divided by 6\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21638\/36499 or 2?\nAnswer: 21638\/36499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 13406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - -13. Let o(j) = -j - 10. Let r be o(-13). Suppose 3*w = -4*t + h, -26 = -5*t - r*w + 64. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.3255571 rounded to 1 dp?\nAnswer: -16.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 35 = -5*q - 2*s, 0 = -4*q - 2*s + 26. Let h(n) = -n**2 - q*n + 0 + 3*n + 2 - 9*n. Let c be h(-10). Solve c*k + 3*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1\/66934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15871219 divided by -7\nAnswer: 2267317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*-2 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23755, 23768, 23791, 23824, 23867, 23920?\nAnswer: 23983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*y - 299. Let d = 159 + y. Suppose d = 4*s + i, 0 = -4*s - 2*i + 73 - 3. Solve -c - 9 - 3 = -3*r, 5*r - 3*c - s = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqqqujnjqnqqnnnpq. Give prob of picking 1 u and 1 j.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8662 or 6209?\nAnswer: 8662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k - 35*k**3 - 7*k - 2*k - 3*k.\nAnswer: -35*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3 + 5301*g**2 + 21216*g + 21220 = 0.\nAnswer: -2, 5305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142166558 and 9254.\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + v - 4*v**2. Let f be 2 + 0\/(-4) + 1. Let w(d) = f*d - 2*d - 7 + 7. Calculate b(w(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.4 - 3.29. Let s = 17 + -17.41. Let j = k + s. Which is the fourth biggest value? (a) 4 (b) -3\/5 (c) j (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1227154765.\nAnswer: 5, 23, 37, 288403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 55. What is the remainder when (3 - (-2)\/(-3))*3 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46043 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 34 = 4*w, -x - x - 3*w + 62 = 0. Suppose -4*z + g - 8 + x = 0, 0 = 5*z + 2*g - 18. Solve -n + 3 + 3 = -z*r, 2*r - 2 = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-22)\/(-20548))\/((-3)\/(-3 + 9)). Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-24) + (-2)\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2. Let s(j) = -12883224*j. Calculate x(s(f)).\nAnswer: -331954921268352*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from biiribibbr. Give prob of sequence rr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 37 = -6*h + 29, 3*p + 6 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18458617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, v: 2, a: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - 3. Let h = 121 - y. Suppose -2*f - 3*v + 7 = 0, -v + 1 = 3*f - 27. Calculate the greatest common divisor of h and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**5*o + 690*m**4*o - 547*m**2*o wrt m?\nAnswer: 60*m**2*o + 16560*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.819 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -526\/143?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (2 - 6) - (-44 + 53)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1035, -2104, -3161, -4206, -5239?\nAnswer: -6260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366*q - 367*q + b + 389 = 0, -2*b = -16. Which is smaller: q or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139450.\nAnswer: 2, 5, 13, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1006, -1008, -1010, -1012, -1014, -1016?\n\"Answer: -2*k - 1004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 4*l - 11*l - 12 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -43. Let o = n - -18. Let s = o + 28. Solve -v = -5*y - s - 9, 5*v - 24 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Let n(y) = 160*y + 137*y**2 - 72 - 88 + 43*y**2. Let w(p) = p**2 + p - 1. Let x(q) = 5*n(q) - 800*w(q). Calculate x(z(c)).\nAnswer: 100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/90 and 22\/1107.\nAnswer: 11070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2635, 5271, 7907?\nAnswer: 10543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 2976 = 7*b + 2*p, -4*b + 3*p = -744. What is the highest common divisor of b and 961?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/8)\/(2\/(-48)). Suppose -w = -0*u - 3*u. Let n = u + 25. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-5) + 5\/(-25). Let j be -1 - (m + (-94)\/2). Suppose 5*y - j = y. Solve 2*p - y = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039531 rounded to 7 decimal places?\nAnswer: 0.0000395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -330531 (base 6) in base 3?\nAnswer: -1101121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -35866498 at most -35866497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + t - 789 = 0, 4*a + 0*t = -t + 1053. Suppose 3*z = 7*z - a. Let b be (-360)\/(-11) + (-306)\/(-1122). What is the greatest common divisor of z and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.2884 and -0.07?\nAnswer: 0.440188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(468) - sqrt(468)*-1) + sqrt(468))\/sqrt(9) - (sqrt(52) + -3*sqrt(208)\/sqrt(4)))**2*-4.\nAnswer: -5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + -28. Let l = g - -62. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4333*b - 16 + 16.\nAnswer: -4333*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136527 is divided by 22754?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/7)\/((-2)\/286). Suppose i = -i + k + 596, -2*i = 4*k - 586. Let n = t + i. What are the prime factors of n?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -288 divided by 8.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2222.\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93 - -142. Suppose -3*f + 4*b = -16 - 36, -3*f + b = -u. What is the remainder when f is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80883067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 807326 a multiple of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d + 21 + 15. Find the third derivative of 7*c**d - 3*c**2 + c**3 + 22*c**2 wrt c.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -445646 or -3119525\/7?\nAnswer: -445646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 139484.7 millennia?\nAnswer: 13948470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142661 and 7758?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 68\/657?\nAnswer: 68\/657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (8 - (-1 - (-11 - -5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cttaetececp. What is prob of picking 3 e and 1 t?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004070564 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, 0, -7, 2\/11, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 4 = -2*k - d, 3*k - 26 = -4*d. Let v be (k + -5)*(-8)\/(-6). Is ((-118)\/4)\/(2\/v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7750646862522 plus 2.9?\nAnswer: -7750646862519.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*(-6*sqrt(20)\/sqrt(2))\/(sqrt(180)*3) + 5.\nAnswer: -4*sqrt(2)\/3 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11462?\nAnswer: 2, 11, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4973773ml to litres.\nAnswer: 0.0004973773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2. Let f(c) = -12*c**2. Let q(r) = -13*r**2. Let u(j) = 6*f(j) - 8*q(j). Give i(u(b)).\nAnswer: 2048*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -76 in -0.02, -0.2, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1752, -3548, -8416, -17892, -33512, -56812, -89328?\n\"Answer: -256*f**3 - 4*f - 1492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a + a - 3*a + (a - 2*a + 3*a)*(2 + 0 - 1) + 2 - 2 + 5*a)*(-26*a + 26*a - 13*a**2) as u*a**2 + h*a**3 + b + v*a and give h.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/14 - (-10)\/(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 4*d + 8. Let n be u(-8). Let x be 8\/n*(6 + 0). Let j be (0\/1)\/((-6)\/2). Sort x, 5, j in decreasing order.\nAnswer: 5, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 21. Let a = -7.4 - c. What is the nearest to -0.1 in -4, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01915791155 rounded to 6 dps?\nAnswer: 0.019158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*s, g - s = -g - 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.8980995 to three dps.\nAnswer: -23.898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = -40*o + 6068. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o + 28. Let z(a) = 3*a - 26. Give -5*m(f) - 6*z(f).\nAnswer: 2*f + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -217, -524, -965, -1546, -2273?\nAnswer: -3152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-194)\/(-7) + 6 + (-4)\/(-14). Let d = u + 251. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-176)\/(-12276)*9\/(-6).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -j - 2*z, 5*j + 4*z = j + 52. Let y(p) = 3*p**2 + 3*p + 5. Let i(s) = -4*s**2 - 3*s - 5. Let m(x) = -4*i(x) - 5*y(x). Is m(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 10471.\nAnswer: -7\/10471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*i = -5, -2*z + 4*i - 7 = -i. Let l(q) be the first derivative of -2\/3*q - 6 + 1\/6*q**z + q**2 - 2\/3*q**3. Factor l(m).\nAnswer: 2*(m - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-23 - -4)*-3 - -3. Suppose 2*l - 188 = -o, 5*l + 6*o = 2*o + 473. Let z = c + l. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*d + 14. Let j(h) = -h - d + 6. Let n(o) be the second derivative of -o**4\/4 + o. What is n(j(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8 = -4. Suppose -523 = -53*g - 152. Differentiate z*t + t + 6*t - 3*t - g wrt t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.2 and -14.8?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + 0*d - 5*d)*(-7*d - 3*d - 6*d + (0 + 0 - d)*(1 + 0 + 0)) to z + n*d + v*d**2 and give v.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 544 + (2 - 30\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4988434 litres to millilitres.\nAnswer: 498.8434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/25 in 6\/19, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -117 + 1185*r**3 - 593*r**3 - 2*r**2 - 581*r**3 + r**3 + 2*r**3 - r**3 + (-4 + 3 + 2)*(r**3 - 3*r**3 + 3*r**3).\nAnswer: 14*r**3 - 2*r**2 - 117","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527354?\nAnswer: 2, 263677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from dbbbwwbdswbdwwb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1321 is divided by 190.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/89 in 0.2, -7\/5, -1004?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 9*x**2 - 10*x - 3. Give i(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5 = -1. Suppose -m + u = 12, m + 24 = 2*u + j*u. List the prime factors of (-5 - m)*10\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -657 + -48886?\nAnswer: -49543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*20\/15*(-2)\/(-8))\/10.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 153*l**3 - 11*l**2 - 39*l - 29. Calculate q(-1).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 42, 298, 1100, 2448, 4342, 6782, 9768?\n\"Answer: 273*z**2 - 563*z + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2717636084?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 2\/7 (b) -229 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 12:52 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*w - 4*p - 2483 = -211*w, 4*w = -p + 1957. Solve 446 = -9*n + w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 239\/6, -0.2, -56, 51?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -53.\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*z + 3. Suppose 2*w - z*w = 2. Let t = 17 - w. What is the remainder when 34 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2762, 3006, 3470, 4154?\nAnswer: 5058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -91. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-2)\/a))\/((a\/(a\/(a\/a**(-11))*a))\/a))**18*(a**2*a**(-3))\/((a\/(a\/(a*a**(-3\/2)\/a)))\/((a\/(a**(-2\/7)*a)*a)\/a)) assuming a is positive.\nAnswer: a**(-1501\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1010*u + 1010*u + 406*u**2 + 189*u**2 as b*u**2 + c*u + t and give b.\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198572145, 198572153, 198572161, 198572169?\nAnswer: 198572177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 85. Let a = -4164092781 + 4164092744.99999874. Let z = t - a. What is z rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 0. Suppose -p = -a + 1. Solve -4*r = -20, -3*h - 2*r - r = -a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 31.3.\nAnswer: 10.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 96. Suppose -3234 = -g*y + 2041. List the prime factors of y.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1851.\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) + (609\/(-6) - 3). Let a = r - -106. Calculate the least common multiple of a and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**5\/4 + g**4\/24 + 5*g**2\/2 + 10. Let j(w) be the second derivative of o(w). Determine j(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 119*n - 18 + 8 + 97*n. Let j be u(-5). Round j to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 32.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.2058\nAnswer: 0.06174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {l: 6, e: 6, d: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 840*n - 536*n + 4 + 7.\nAnswer: 304*n + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 105.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0036757 rounded to 4 decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + i + 2. Let b(a) = -a**2 + 8*a + 6. Let r(t) = b(t) + 2*o(t). Calculate r(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/10*(-595)\/(-357)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 400 and 45600?\nAnswer: 45600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/6)\/((-1)\/6). Find the second derivative of 3 + c**3 - 2*c - s wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from dezzrdledd?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-17))**(-1\/17)*(((a**(-11)*a)\/a)\/a)**(-1\/3) assuming a is positive.\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -11833?\nAnswer: -11835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2560*f - 738885 = 7752*f + 2753*f for f.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -971 or -317?\nAnswer: -317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 14) to base 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/(35\/(-98)*63\/(-30))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 24. Let h be 15\/v - (-2 + 4). What is the second smallest value in -2, h, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8343 at most 8342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-12)*((-21)\/3 - -1). Calculate the remainder when (0 + -1)\/(0 - t\/(-80)) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19935 and 675?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*a*d*g**2 - 67*a*g + 14*d*g**2 + 3*g**2 with respect to d.\nAnswer: -8*a*g**2 + 14*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -261919*-0.9\nAnswer: 235727.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.565 + 0.035. Let n = -23 + h. Sort 3, 5, n in ascending order.\nAnswer: n, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1291, -1289, -1277, -1249, -1199, -1121, -1009, -857?\nAnswer: -659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + -40 - (-37 - -2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 148*f**2*t**2 + 2*f**2 + f*t**2 + 3412*t**2 wrt f.\nAnswer: 296*f*t**2 + 4*f + t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49679103 and 1423470.\nAnswer: 496791030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/((q\/(q*q*q\/q**0*q*q))\/q)*q))**0*(q\/(q*q**(-1\/8)*q*q))\/(q**0\/q))**(-29) assuming q is positive.\nAnswer: q**(203\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/27)\/(t**(10\/3)\/t))**(-21\/4) assuming t is positive.\nAnswer: t**(427\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18285 divided by 6095?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2059635 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-22)\/792*-924\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.589 - 4.411. Put m, 12, 0.2, 2 in decreasing order.\nAnswer: 12, 2, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15, -62, -157, -312, -539, -850?\n\"Answer: -2*m**3 - 12*m**2 + 3*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4.9 (b) 0.05 (c) -0.2 (d) -0.4 (e) -3 (f) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 + 180. Let j be (0 + 1)\/(0 - 1). Let z be -1 - j\/(2\/26). Calculate the greatest common factor of h and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 10. Let s = -18 + b. Solve -7*d + 16 = -s*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -26. Is -4\/9 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17498050 * 3.\nAnswer: 52494150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, k: 2, z: 3, d: 2, h: 2, r: 2}. Give prob of picking 2 d.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 30 = -d - y, -4*d + 2*y + 10 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5\/2, -3479, 4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 0.844.\nAnswer: 6.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -3, 3\/4, 0.5, 2, 2\/5 in ascending order.\nAnswer: -3, 2\/5, 0.5, 3\/4, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/(-2)*(-29)\/(6612\/72)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 11) to base 7\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)\/(sqrt(4)*2) + sqrt(468)*-1 - (sqrt(208) + sqrt(208) + -1 + 3)*6) + 5)**2 + 0.\nAnswer: 749*sqrt(13) + 149033\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 (base 10) in base 7?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16728? (a) -3 (b) -1 (c) -2\/21 (d) -4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 4*o**2 - 5*o + 4. Suppose 2*k = 5*k + 6, -2*v = -4*k - 18. Let j be d(v). Put j, -2, -4 in descending order.\nAnswer: j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 3 - 2 + (0 - 2 + 3)*(-1 + 6 - 4) - 4 + 0 + 3 + 4 - 1 + 0)*(-2 + 4 - 3)*(-2 - q - 1 + 1) in the form w*q + v and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -26*w**2 + 3*w + 3. Let z(f) = 2*f - 3 - 14*f + 27*f - 14*f + 4. Determine -r(v) + 3*z(v).\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s - 10. Let o(n) = 7*n - 20. Give 3*o(h) - 5*x(h).\nAnswer: h - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(((-60)\/(-9))\/(-10))*-2. Calculate the greatest common divisor of n and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 191 = p - 12, 5*l - 4*p = 221. What are the prime factors of ((-92)\/6)\/((-6)\/l)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24, -55, -100, -153, -208, -259, -300?\n\"Answer: z**3 - 13*z**2 + z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126 + 224. Suppose 0 = 5*r - 302 - i. Let n(l) = l**2 - 2*l - 3. Let a be n(7). Calculate the greatest common divisor of r and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381068 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6576, 13147, 19714, 26277?\nAnswer: 32836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 - 0) - (-31 - -30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 4*s**7\/105 + s**4\/24 - 9*s**2. Find the second derivative of o(v) wrt v.\nAnswer: 96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 14 = 5*t + 41, 65 = 3*u + 5*t. Let k = 147 - 104. Calculate the remainder when k is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.46 - 20.46. Let p = -439.4 + 419. Let b = z - p. What is b rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307531949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-6) - 1\/1. Let y = -2736.7 - -2736.2. Which is the closest to -2? (a) 4 (b) y (c) -10 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/((-5)\/((-20)\/(-8))). Let w(d) = d**2 - 2*d - 13. What is the tens digit of w(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -11. Suppose -5*w = -3*q - 3*w + 157, -5*q = r*w - 267. Suppose -2*k + q = -1. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5813 + 11 - 16)*(0 + 2)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n - 40. What is the smallest common multiple of t(-9) and 11?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 8, 19, 30, 41?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(405\/(-20)))\/((-4)\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672 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: Expand -3*a**5 + a**5 + 0*a**5 + a - a + 2*a**5 + (-4*a**3 + 4*a**3 + 2*a**4)*(2 + 2*a - 2) + 400*a**5 - 53*a**5 - 41*a**5.\nAnswer: 310*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -80801 + 0*y**3 + 80801 + y**2 + y**3 - 1532*y in the form z*y + p*y**3 + w*y**2 + m and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1891.935 - -1892. Which is bigger: -9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 11 in increasing order.\nAnswer: 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, b: 6, r: 6, t: 2}. Give prob of picking 1 b and 1 q.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 147817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1673461 (base 9) to base 8\nAnswer: -3440524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 0*m**2 - 15\/2*m**3 - 74*m + 0. Let o(i) = 4*i**2. Determine o(a(y)).\nAnswer: 8100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + p**2 - 2*p - 1. Let m be d(-2). Let u be (-3 - 8\/(-4))\/m. Let k = 6 - u. Solve -k*y + 5 = 0, 3*r + y = -0*r + 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -82?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001307474 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35, 40, 53, 80, 127, 200?\n\"Answer: k**3 - 2*k**2 + 4*k + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z - 3*m = 54, 2*m + 10 = 0. Let l = -8 + z. Suppose 1070 = -l*c - 5630. What is c rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1722 - 1169. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -337*s**2. Let a(n) = 11*n**2 + 39*n + 13. Let g(p) = -5*p**2 - 18*p - 6. Let w(x) = 6*a(x) + 13*g(x). Calculate c(w(y)).\nAnswer: -337*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 316, 1004, 2328, 4492, 7700, 12156?\nAnswer: 18064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (3\/(-21))\/((-4)\/364)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(2*sqrt(108)))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 8*s - 3. Let f be k(8). Let t be 3*(1\/3 + -2). Which is bigger: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 163*z - 157*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.749 - -18.8. Which is greater: f or -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/317299 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -745*y**2 + 4*y - 5. Let s(k) = 2*k**2 + 13*k - 5. Let r be s(-7). Let g be v(r). What are the prime factors of g\/(-39) + 2\/3?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385777 is divided by 4244.\nAnswer: 3817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**3\/3 - 1100458*g**2\/3 - 398169230*g\/3 - 12009461858 = 0.\nAnswer: -549867, -181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/342 and -67\/684.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-1 - 4) - -1. Let d = 11 + -6. Solve d*l = 5*i - i - 4, 5*i - s = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -1025*t**2\/4 + 7*t\/2 = 0.\nAnswer: 0, 14\/1025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/5 (b) -3 (c) -1\/4 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 + 3*t + 3. Let r(n) = -4*n**2 - 2*n - 2. Let d(u) = -6*r(u) - 4*y(u). Let p(a) be the first derivative of 6*a**2 + 51515. Determine d(p(l)).\nAnswer: 576*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*b + 56*b + 87 + 98*b - 378*b - 62.\nAnswer: -246*b + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 389?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8724 divided by -727?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-3))\/((-2)\/(-21)). Let w be -5 - (-23)\/((-138)\/(-240)). What is the greatest common divisor of w and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/14)\/(2\/12*3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 2*n - 2*g + 144, 3*n + g = 106. Let w = -2 + n. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339773446 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3 = 9. What is the units digit of (-13 - r)*(-3)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*z**2 + 3*z**2 - 6*z**2)*(-z + 3*z + z + 2 - 2 + 2*z + (-z - 2 + 2)*(-3 + 1 + 0) - z + z + 2*z) to g + f*z**3 + v*z**2 + t*z and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -0.5, 0.05, -7, 12 in descending order.\nAnswer: 12, 0.05, 0, -0.5, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3789 + -3509. What is the third smallest value in f, -3, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 52*a. Suppose 23 = 2*v + 5. Let o(m) = 2*m + 13 - 4 - v. Give n(o(u)).\nAnswer: 104*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -602d9 (base 16) in base 15?\nAnswer: -7bad0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 326483128 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7.753 * -0.5\nAnswer: -3.8765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 - 6*s**2 - 1 - 2 + s**3 - 1 + 2*s. Let x(z) = -z**3 + 2*z**2 - 2*z + 5. Determine -5*c(n) - 4*x(n).\nAnswer: -n**3 + 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(3\/8)\/l)*l*l**(-1)*l**(-3\/5)*l*l**(-2)*l)\/((l**(-2))**(-35)*((l*l*l**(2\/27))\/l*l)\/(l**(3\/7)\/l*l)) assuming l is positive.\nAnswer: l**(-526331\/7560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 9:10 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/2 and -30\/8133271?\nAnswer: 16266542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 365 + -250. List the prime factors of b.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2031020 - -2211?\nAnswer: 2033231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 824523, 1649048, 2473573, 3298098?\n\"Answer: 824525*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**6\/210 - 3*d**5\/35 - 11*d**4\/84 + 191*d. Find v, given that m(v) = 0.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = -3379*i + 3383*i for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 11:25 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -1cd?\nAnswer: 1d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19a7b (base 13) to base 9.\nAnswer: 75675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2*(4 - (-15)\/(-6)). What is the nearest to 2 in o, -2.6, -3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6844 + -2641. Let o = 7233 - g. Round o to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, 248, -5 in descending order.\nAnswer: 248, -5, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 - 566764?\nAnswer: -566738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/16 and 33\/1409180?\nAnswer: 5636720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2375 + -1044702.6.\nAnswer: -1044702.8375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6050617 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-14)*6\/36*-8.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 61*n**2 - 455*n - 52. What is q(52)?\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-218)\/(-5) + 14\/35. Suppose 0 = -w + 5*d - 78, 0*d + 82 = -w + d. Let s = w + b. Calculate the common denominator of s and 12\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 18 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -494898.82796 - 331\nAnswer: -495229.82796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 1 + 11 + 5 = -2*w, 36 = -5*w - 11*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 5 - 41 - 7*u - 10.\nAnswer: -7*u - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(500)) - ((1 + sqrt(500))**2 - sqrt(500))*3)*-6.\nAnswer: -180*sqrt(5) + 9054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100180 - 103308 = 136*z for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + 1 + 8\/(-20).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - x - 2. Let w be h(3). Suppose 17 + 3 = w*p. Let t(m) = -m**3 + 6*m**2 - 4*m + 7. What is the units digit of t(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2106516 rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p. Let c(a) = 4*a - 1. Let x(n) = -1 - 3*n + 4*n + 1 + 1. Let d(l) = -6*c(l) - 6*x(l). Calculate d(i(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 388 + 174 = 0. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4941*g**3 - 11652 with respect to g.\nAnswer: -14823*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -706413 (base 10) in base 3?\nAnswer: -1022220000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1532 = 5*g + 1517 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35631.79 micrograms in tonnes?\nAnswer: 0.00000003563179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6712641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483 = -32*b + 387 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/202 (b) -567\/4 (c) -0.6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*v + 6. Let g(o) be the second derivative of -o**3 - o**2 - 4*o. Is g(v) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a - -3?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30726 - -30915. Solve -44*m + 207 = -b for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 9. Calculate the lowest common multiple of a and (-2)\/3*9\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - -1. Let q = -7.8 + m. Sort q, 0, 2 in increasing order.\nAnswer: 0, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.7 + -2.6. Let i = k - 3.29. Let g = i - -0.186. What is g rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 14*y + 82. What is t(-12)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p**3 - p**3 + 0*p**3)*(2 + p - 8*p + 0) in the form l + y*p + c*p**3 + m*p**4 + j*p**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**3 - x**3 - 43*x**3 - 121*x**3 + (-1 + 2 + 1)*(-x**2 - x**3 + x**2) to v + q*x**3 + l*x + d*x**2 and give q.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/c**(-3))))\/c**(-2\/45))\/(c**(-3\/8)\/c*c**24) assuming c is positive.\nAnswer: c**(-6689\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4736*b**2. Let m(w) = -59*w. Determine y(m(g)).\nAnswer: 16486016*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31784 - 13684. Round y to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2. Let j(a) = -3183*a + 104. Calculate j(p(t)).\nAnswer: 6366*t**2 + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9589372836 and 1757.\nAnswer: 9589374593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.39864 nanometers in kilometers?\nAnswer: 0.00000000000739864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247 - 121 - 126 + 2*p - 3*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 414 + -188. Let v = 378 - g. Suppose -5*i - 1 = l, 0 = -3*l + 3*i + 2*i + 77. What is the greatest common divisor of l and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 2:55 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3 = -3*c - 24, -21 = 3*a + c. Let v be 312\/42 + a\/14. Suppose t = 53 + v. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 7*t**2 - 7*t - 12. Let u be q(-6). Which is the smallest value? (a) -2 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f. Let v(x) = -32*x**2 + 2*x - 4. Let d(b) = 32*b**2 - 3*b + 6. Let k(p) = 2*d(p) + 3*v(p). What is l(k(t))?\nAnswer: -128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -182 (b) 804 (c) 0.11 (d) -0.5 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - f - 6. Let a(n) = 3*n**2 - 25*n - 12. Let q(v) = -a(v) + 6*z(v). What is q(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4 = 2*c, 114299*r - 4 = 5*c + 114303*r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzet when four letters picked without replacement from {l: 3, t: 3, z: 7, e: 2}?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. Suppose -d + 8 = 2*m, 0*m - m + 2*d = -9. Suppose j + j = -5*z + 36, -m*j = -z - 36. What is the highest common divisor of o and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4216*g + 787*g + 24858 - 25001 wrt g?\nAnswer: -3429","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4118 is divided by 81.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 3*b**6\/40 - 97*b**5\/20 + 51*b**4\/2 + 90*b**3 + 738*b**2. Factor p(w).\nAnswer: 3*(w - 30)*(w - 3)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 6:53 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/50 and 17\/1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 1:31 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*s**2 - 7*s - 83*s**2 - 93*s**2 + 7*s - 100*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 1. Let c(j) = 7*j - 5. Let p be -2 + 2 - (-9 - 1). Suppose 5*t = -25, -13*t = -4*g - p*t + 19. Calculate g*c(i) + 4*l(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 12:23 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 16, -4216, -1\/3 in increasing order.\nAnswer: -4216, -1\/3, 4\/7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36492, 36497, 36512, 36543, 36596, 36677, 36792?\n\"Answer: w**3 - w**2 + w + 36491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + k - 5. Let x = -466 - -471. Give u(x).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154146007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.1 + -1.7. Let q = 3 - y. Let g be (-1 - -4)\/(1*(1 - -2)). Do g and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-9) - 16\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227496, -227495, -227492, -227487?\nAnswer: -227480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 4*l - 10*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 27*y**2 - 26*y - 7. Let s be (-6 - 4\/(-5))\/((-2)\/(-10)). Let j be w(s). Let p(l) = -5*l - 13. What is the units digit of p(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 7075.\nAnswer: 7\/7075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/2 + -1)*(-372)\/(-1302)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*z**4 + 2*z**2 - 144*z?\nAnswer: -420*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5.8*1\nAnswer: 5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -830*p**3 + 8318*p**2 - 20930*p + 450.\nAnswer: -2*(p - 5)**2*(415*p - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide (-5 - -4) + (1467 - -2) + -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2151641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/9)\/(132\/(-99))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59 - 27*a + 59 to i*a + r and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90.86 + -0.86. Let x = u + -90.00229. Round x to four decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.096 in 1\/6, 0, 0.1, -1, 3\/26?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-13) + (-555864)\/(-741). Is (-144)\/10*z\/(-225) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 2*n**5\/5 - n**3 - 17*n**2\/2 - 5849*n + 6239. Differentiate t(f) with respect to f.\nAnswer: 8*f**3 - 6*f - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 - 1085?\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 11, q: 3, v: 3, d: 3}. Give prob of picking 2 d, 1 q, and 1 v.\nAnswer: 9\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 13129.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4775561243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 2 + 1)\/1. Suppose -2*r + 4*i = -k*i - 2, 4*r - 30 = -5*i. Let s be (-1)\/(-2)*(2 - 2). Solve -r*y + 5*n + 17 = 3*n, 4*y - 5*n - 17 = s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 7*i + 3768. Let y be i\/28 + (-6)\/(-21). Let m = y + 130. Does 21 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4785\/21 - 3\/(-21)) + 2. Let j = i + -360. Let q be (0\/(-1*1))\/(j\/(-65)). Solve -p = -q*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 286.016 to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 + -286\/3. Suppose 4*v + 63 = 3*k + 2*v, 0 = 2*v. Suppose -5*y - k = -11. What is the smallest value in u, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2595 + -0.24763. What is w rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -595, -1185, -1769, -2347, -2919, -3485?\nAnswer: -4045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 77*n**4 + n**2 + 0 + 79*n**4 + 2*n + 6*n**3 to k*n**2 + c*n**3 + a*n + v*n**4 + y and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5763 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 13. Solve t = -q - 0*q + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-1\/2))\/c*c)\/(c**(2\/23)*c))\/(c**(-8\/7)*c*(c*c*c**(2\/9)*c*c)\/c) assuming c is positive.\nAnswer: c**(-10625\/2898)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18421199?\nAnswer: 743, 24793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n - n - 3*n)*(-4 + 2 - 4) + (3 - 1 - 3)*(-4*n + 4*n - 2*n) - 3*n - n + 5*n + 3*n - 5*n + 3*n + 0*n - 3*n + 4*n.\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 13*c - 8. Let h be s(-14). Suppose -8*a = -h*a - 794. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 = -f + 5*v + 151, 5*f + 2*v = 103 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 40 = -275. What is the greatest common factor of 56 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83025 = 3470*r - 4577*r for r.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -114120?\nAnswer: 114130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 7*m**2 + 19*m + 13. Let h be x(-9). Solve -2*y - f = 11, -h*y - 3*f + 8 - 33 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5455.2 and 6.\nAnswer: 5461.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-18)*27*(-202)\/59085\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/1035, 4\/7, 6, 2\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -459 - -286. Let n = 193 + m. Calculate the remainder when 215 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 283.21632 minutes?\nAnswer: 0.196678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 1. Let t(p) = 4*p**2 - 21*p - 5. Give -6*a(d) + t(d).\nAnswer: -2*d**2 - 21*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 4*w + 2. Let x be 2\/4 + 5\/(-10). Suppose 3*l + 7 = -4*s, x = 4*l + l - 3*s - 27. What is the remainder when l is divided by g(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11745933 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w**3 - 756*w**2 + 5*w - 2599. Let x(t) = 7*t**3 + 757*t**2 - 6*t + 2553. Let a(h) = 5*x(h) + 6*z(h). Differentiate a(p) with respect to p.\nAnswer: -3*p**2 - 1502*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 10*p + 17. Does 13 divide z(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3\/4 + 2378491*i**2\/4 - 3567741*i\/2 = 0 for i.\nAnswer: -2378494, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40035?\nAnswer: 3, 5, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.56336 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -189*l*r**3 + l - 3*r**2 - 4 wrt r.\nAnswer: -1134*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 281 and 46798583.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 67?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + (-1566)\/(-180))\/((-6)\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-63)*(-133)\/76?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*r + 11 = 69*r. Let m be (12\/20)\/(3\/10). What is the second smallest value in r, m, 16?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -440*k - 353. List the prime factors of v(-62).\nAnswer: 26927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(450) + sqrt(450) - sqrt(450))\/sqrt(10) + sqrt(45) + sqrt(45))\/((sqrt(108)\/(sqrt(24)\/sqrt(2)) + sqrt(9) - sqrt(9)) + sqrt(9)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 12) to base 13.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216*0.3.\nAnswer: 64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -760 or -765?\nAnswer: -760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 - x + 2. Let p be k(4). Let r(f) = 68 + 4*f + 5*f**3 - 3*f**2 - 4*f**2 - 4*f**3 - p. Let d = 5 + 1. Calculate r(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004139 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 726, 1710, 3360, 5682, 8682?\n\"Answer: z**3 + 327*z**2 - 4*z + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90671 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 2349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5315\/23 + 231. Put -2, -0.11, 1, b in decreasing order.\nAnswer: 1, b, -0.11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15590556 - -15590548.999997. Let g = r + 7. What is g rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -2, -7, -4\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.61 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6 and -1565888931.1752?\nAnswer: 1565888937.1752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 2*x**2 + 2*x**2)*(-743*x**2 + 897*x + 3 - 897*x - 3).\nAnswer: -1486*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 195.2 + -195. Which is smaller: 0.074 or n?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 14. Let n be b(-4). Let j(q) = 10*q**n - 1 + 4 - 3. Let i(c) = 4*c. Calculate i(j(m)).\nAnswer: 40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, 0.17, 5, -173784 in ascending order.\nAnswer: -173784, 0.17, 0.3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) 22 (c) 18 (d) -0.293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 9:25 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, -6\/7, 4\/11, 2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-11)\/(((((k\/(k**(6\/13)\/k)*k)\/k)\/k)\/k*k*k*k*k)\/k*k))**(-1\/35) assuming k is positive.\nAnswer: k**(27\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckkc when four letters picked without replacement from ckkkykkkkkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -696, -719, -788, -921, -1136?\nAnswer: -1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by -104556?\nAnswer: 13\/34852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3960674, 7921345, 11882016, 15842687, 19803358?\nAnswer: 23764029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*c + 3 + 2*c - 3 + (2*c - 1 + 1)*(1 - 1 - 2))*((6 + 0 - 3)*(3 - 3 + 2) - 1 - 3 + 6 + 1 + 2 - 5).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -404 + 866. Let q = l - 8776\/19. What is the nearest to 0 in 1, q, 1\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98*b**4 + 5*b**3 - b + 1397 wrt b.\nAnswer: 1176*b**2 + 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 24*m**2 + 43*m - 30. Determine k(-22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by (-2)\/(-6) + 265\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 8140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -18*(6\/9)\/2. Calculate the least common multiple of ((-72)\/10)\/(z + (-58)\/(-10)) and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5313820122?\nAnswer: 2, 3, 13, 22708633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 174 - 74. Let t = 94 - r. Let d(v) = v + 11. What is d(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 v, and 1 w when three letters picked without replacement from {y: 1, v: 2, w: 2, k: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + n**2 + 62. Let b(j) = -2*j**2 - 25*j - 12. Let o = 10 + -22. Let i be b(o). Is g(i) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -208 - -268. Suppose 0 = -10*n + 70 + j. What is the highest common factor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8171063 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2676*z + 10142*z + 1055*z as l*z + v and give l.\nAnswer: 13873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + d**2 - 4*d**2 + d**2 - 1. Let s be (-33)\/(-4) + 3\/(-12). Let q = -6 + 3. Let h(k) = -5*k**2 - 2*k - 2. Calculate q*h(o) + s*n(o).\nAnswer: -o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 6:23 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 122*s + 718. Give g(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 45*j + 100.\nAnswer: 5*(j + 4)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1377 divide 4863564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1011021120022 (base 3) to base 15\nAnswer: c265e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/21)\/4)\/((-3)\/(-6)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 2 = 12*p. Sort p, -4, -2 in ascending order.\nAnswer: -4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 - 27469316*s\/9 - 94320415188482\/9.\nAnswer: -2*(s + 6867329)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*t + 37*t - 3 + 21*t + 22*t + 28*t.\nAnswer: 4*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, 1, -245\/316, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*j - 11 = -0*j, -2*j = 2*p - 16. Let g(a) = 4*a**2 - 3*a + 4. Is g(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 129, 338, 633, 1008, 1457, 1974, 2553?\nAnswer: 3188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -296, -1184, -2660, -4724, -7376, -10616?\n\"Answer: -294*s**2 - 6*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tfpf when four letters picked without replacement from fptffffpttiftttfbt.\nAnswer: 49\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + 20. Let r = v + -16. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00796*-0.1295\nAnswer: 0.00103082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1732 + 2056 = 138*o - 4478 - 1960 for o.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**3 + 12*r**2 - 12*r - 23. Let t be v(-6). Which is the smallest value? (a) -1 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**25)**(-1)*(o**0)**(-12\/19) assuming o is positive.\nAnswer: o**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/3729698 and -37\/56.\nAnswer: 14918792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82\/(21\/(-9) - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4567 - -4570. Suppose 3*l + 0*l = 0. Suppose -u + h*u - 4 = l. Which is smaller: 14\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-44)\/(g**3)**48 assuming g is positive.\nAnswer: g**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 6*r - 15. Suppose 0 = -0*y + 6*y - 24. Let s(u) = 3*u - 15*u + 13*u - y. What is s(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/6 + 203*u**2\/6 + 136*u\/3 - 212704.\nAnswer: -(u - 136)**2*(u + 69)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 80 or -16?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 d, and 1 e when four letters picked without replacement from eedceddeecde?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 149*s - 7653. Calculate j(51).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t + t)*(-t + 2 - 2) + 4*t**2 - t**2 - 5*t**2 + 22*t - 15*t**2 - 22*t.\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -466600051 + 0?\nAnswer: -466600051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**3\/t)\/t**(-5))\/(t**(3\/7)\/(t\/(t\/(t**(7\/3)\/t)))))**(-19))**(-3\/23) assuming t is positive.\nAnswer: t**(3154\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 5*t + t)*(-1 - t + 1 - t + 2*t + 0*t + 0*t - t + 4*t + (-2 - 1 + 1)*(-4*t + 4*t + 2*t) - 334*t - 351*t + 180*t).\nAnswer: -506*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = s - 4*s + 9, 0 = 5*c - 3*s - 3. Suppose w = 2*t + 2, c*t + 5 + 3 = 4*w. Suppose t = 3*i - i - 2. Calculate the smallest common multiple of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/22711 or -5\/3?\nAnswer: 6\/22711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + 84*m + 1435. Calculate h(55).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*z = 5*k - 48*z + 9, k + 3 = -z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 1:33 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q + 14. Determine n(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 27. Let v be t(-8). Let i = 27 + v. Suppose -i*y + 13*y = 0. Solve y = m - 5*o + 20, -8 = -4*m + 3*o - 5*o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 21, -109, -363, -783, -1411, -2289, -3459?\nAnswer: -4963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23 (b) 2 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c - 3. Let a(y) = -7*y. Let h(o) = 5*a(o) + 6*s(o). Let d(k) = -k + 11. Give h(d(m)).\nAnswer: -m - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249, -250, -251, -252, -253?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1045*v + 69726 = 394*v + 10727 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086474057 rounded to four decimal places?\nAnswer: 0.0865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*o**2 + 8*o**2 - 2 - 4 - 5*o**2 wrt o?\nAnswer: 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/15 + 16*r\/15 - 8\/3 = 0 for r.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/9 - (-15)\/(-5). What is the second biggest value in w, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 238589, 238577, 238559, 238535, 238505?\n\"Answer: -3*y**2 - 3*y + 238595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/3, -5\/3 in increasing order.\nAnswer: -5\/3, -2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 + a + 19*a**4 - 19*a**4 - 13*a**2 in the form z*a + m + y*a**2 + s*a**4 + u*a**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000326928 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -13*x**6\/6 - 23*x**4\/4 + 5*x**2 - 33*x - 769. What is the second derivative of g(k) wrt k?\nAnswer: -260*k**3 - 138*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.2, 0.06 in ascending order.\nAnswer: -0.2, 0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 852 and 41109.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*1*-5*3*-6)\/((sqrt(225)\/sqrt(5)*6)\/(sqrt(5) + (sqrt(180)\/sqrt(3))\/sqrt(12))).\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.32 - 0.12. Let s = 305 + -301. Let t(y) = -y**3 - 3*y**2 + 5*y - 3. Let q be t(-4). Which is the third biggest value? (a) q (b) s (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 3*i - 14. Calculate u(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*n - 25089074*d**2 + 184*d*n + 6735*n - 1 wrt d.\nAnswer: 2*n - 50178148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.2509546m?\nAnswer: 250954600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -883, -827, -747, -631, -467?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15118003373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxdd when four letters picked without replacement from {d: 11, x: 5}?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w - 3. Let z(r) = 3*r + 1. Determine -2*m(a) - 5*z(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 504 + 624 = 0 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -133\/6 (b) 0 (c) -0.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4120061 or -4120066?\nAnswer: -4120066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**3 - b + 1. Let t be x(1). Suppose n + 2 - 5 = 0, 0 = t*y + 5*n - 43. Suppose -y*v + 42 = -469. List the prime factors of v.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -6*w - 2 + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 609*w - 43. Let y(l) = 4*l. Calculate i(y(u)).\nAnswer: 2436*u - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*z = -2*i + 42*z - 31, z + 0*z - 5 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**3\/9 + 1020*m**2 - 1560600*m + 795906000 = 0.\nAnswer: 1530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -8. Let m = u + 10. Find the second derivative of 4*p**4 + 3*p**4 + 7*p - 4*p - 4*p**m wrt p.\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in -1\/19, -9, 0.7, -1\/5, 3\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2656*c + 1406*c - 11924 = -1521*c for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -616351 or -616347?\nAnswer: -616347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 70. Let d = n - 13.43. Round d to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28726459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:10 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132445200 + -13?\nAnswer: 132445143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**3 - a**2 + a + 2. Give u(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 12*i + 14 + 44*i + 9 - 27.\nAnswer: 32*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/37, 5, -4, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154370866 is divided by 209743.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 944 and 34227316?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -36*s + 167. Let h(i) = -i**3 + 4*i**2 - 76*i + 309. Let x be h(4). Give b(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 8*o - 20 = -4*r, -r + 7 = -2*o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (752618\/(-37014))\/(2\/2)\nAnswer: -61\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 8 - (3 + (1 - 11 - -2))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 10*v + 12*v + 2.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a + 1. Let f be s(1). Suppose 0 = 5*i + 4*y - 16, 2*y = f*i - 0*y - 22. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/8)*s\/(s\/(s**(-2)*s)*s))**17 assuming s is positive.\nAnswer: s**(-255\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u - 9. Let j be w(-6). List the prime factors of 2\/7 + 36\/j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5538 is divided by 2761.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 - 4*h**2 + 3*h - 2. Let l be -1*(-2 - -4)*-1. Let f be n(l). Suppose y = 2*y - f. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 876 - 876. Let c(d) be the third derivative of 1\/25*d**5 + 0 + k*d - 1\/16*d**4 + 1\/75*d**6 - 9*d**2 + 1\/30*d**3. Factor c(v).\nAnswer: (v + 2)*(4*v - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 3:10 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.38 * -1.468.\nAnswer: -0.55784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8329322 micrometers in kilometers?\nAnswer: 0.0000000008329322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13*83\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 4)*(2*s - s - 3*s) + 387 + 25*s - 387 in the form i*s + q and give i.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*r + 4*b = 170, -4*r + 2*b = -212. Calculate the lowest common multiple of (0 - (9 - 70)) + -1 + 0 and r.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/8)\/d**(-6)*d\/(d**4\/d)*d\/(d*(d*d**(2\/3))\/d) assuming d is positive.\nAnswer: d**(77\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -26 and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - 4*(sqrt(245) - 3*sqrt(245)))**2*-3*-2.\nAnswer: 119070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 0) + -6 + (-10)\/(-2). Suppose r + 2*f = g + 109, -2*r - 5*f + 224 = 0. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7537 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47515 is divided by 135.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v + 17. Let y(z) = -2*z - 4. Let x(n) = n + 4. Let d(l) = 3*x(l) + 2*y(l). Let w be (-52)\/(-5)*(-235)\/(-94). Calculate w*d(h) - 6*k(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.07 (c) 0.19 (d) 495\/16 (e) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*r**4 + 392*r**3 + 368*r**2 - 32*r.\nAnswer: 4*r*(r + 2)**2*(25*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 412541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + w**2 - 3*w**2)*(5*w + 11*w**2 - 5*w).\nAnswer: 11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-10 + 15 + -83 - 15) + -20?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8122 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: Calculate prob of sequence xae when three letters picked without replacement from {x: 3, e: 1, a: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 46. Let l be h(8). Let x = l - -41. Let b(i) = 4*i**2 - i - 2. Let p(s) = -5*s**2 + s + 3. Give x*b(w) + 2*p(w).\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 17 = 28422*f - 28423*f, a + 17 = -9*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1418*h = -1425*h - 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16019853 is divided by 12624?\nAnswer: 12621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = -31 + 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 369278 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 33?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j - 3. Let g(s) = -s**3 - 2*s**2 + s - 2. Let c be g(-2). Let u be n(c). Suppose u = 2*a + 3*a. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q - 1. Let v be 2\/((-10)\/(-2) + -4). Let z be (0 - v) + 1 - 0\/(-5). Calculate s(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1840371, 7361499, 16563377, 29446005, 46009383, 66253511?\nAnswer: 90178389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t. Let n(y) be the third derivative of -y**4\/12 - y**2. Calculate n(q(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 159.71896 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(7) + sqrt(14)\/sqrt(2) + -4.\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/13 + 1790*u\/13 - 5388\/13.\nAnswer: 2*(u - 3)*(u + 898)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 + 10*g**2 + 13*g - 7. List the prime factors of u(5).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1691\/1015680?\nAnswer: -1691\/1015680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*w + 11875 = -12791 + 25434 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19169 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*q = -36, -3*m + 4*q + 31 = -23. Let w be 5\/((-20)\/(-116))*1. Let c = w - m. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 8:31 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-6) - (-20)\/30. Let q = -2.5 - -3. Let k = 0.57 + -0.67. What is the nearest to -1\/4 in k, p, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4\/5, 5, 47, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-234)\/(-52)*8\/(-6). Let u(t) be the first derivative of t**4\/4 + 2*t**3 - 3*t**2 + 2*t - 2. Let c be u(-7). Which is smaller: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4103 and 75911.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371447 is divided by 53.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a + 10 = 0. Let n(c) = -4*c - 9*c - 2 + 13*c - a*c. Calculate the remainder when n(-9) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8132\/266 + -22)*(-2 - 48\/4)\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10102201 (base 3) to base 16.\nAnswer: -9c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + f + f to t*f + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -563, -563, -559, -551?\n\"Answer: 2*m**2 - 6*m - 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 366641422 - 3?\nAnswer: 366641416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1937, 2108, 2279?\n\"Answer: 171*q + 1766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*q + 3 = 0, 8 = -q + 4. Let b(c) = 3*c + 9. Let s(d) = -1 - 7 - 6 - 5*d. Let a(u) = -8*b(u) - 5*s(u). Give a(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -31*h + 2. Let y be o(2). Let a be (-4)\/(-30) + (-52)\/y. Solve -2 - a = 3*m, -2*u + 2*m = 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c + 2892 + 876. Let q = c + 630. What is the smallest value in 0, 0.7, q, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 110\/8*(1 - 25\/5). Is s greater than or equal to -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3264334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*f - 67, -2 = i - 2*f + 5. Let x = i - -15. Solve x = -3*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from {l: 1, w: 2, f: 3, i: 12, r: 2}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 0.5, -241, 238, 7, 2\/5 in decreasing order.\nAnswer: 238, 7, 4, 0.5, 2\/5, -3, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 14, -3 in descending order.\nAnswer: 14, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 204 or 82331\/403?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d + 24 = -g, 0 = 4*d + g - 21. Suppose d = s + 4*s. Suppose -3*q + 16 = -p + 5, p - 1 = -q. Sort p, s, -0.4.\nAnswer: p, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3156 is divided by 196.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**4 - 151724*q**3 - 1438684896*q**2 + 1438836624*q = 0. What is q?\nAnswer: -18966, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*(sqrt(147) + -3*sqrt(147)) + 1*sqrt(147) + -4 + (sqrt(147) - (sqrt(147) - sqrt(147)*1*6)))**2*-3.\nAnswer: -127452 - 714*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 7. Let y be h(-5). Sort 1, y, 4\/9 in increasing order.\nAnswer: y, 4\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 246 in -2010, 2, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = -y + 16740. Let x = -714 + y. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4 + 9492*x**3 + 161760*x**2 + 866572*x + 1400322 = 0. Calculate x.\nAnswer: -7, -3, 4763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -1\/3 (c) 12 (d) 0.1529 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2791*b**2 + 1343*b**2 + 1423*b**2.\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2626 - 2625.999995815. Round s to 7 dps.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g**3 - 22*g**2 - 40*g. Give r(-2).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 3*u**5\/20 + 4*u**4 + 9*u**3\/2 - 135*u**2 + 4373*u. Factor l(j).\nAnswer: 3*(j - 2)*(j + 3)*(j + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2. Let r(h) = 14024*h**2. Determine r(q(l)).\nAnswer: 56096*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -r + 67, 2*r - 6*r = -d + 38. What is the highest common factor of 18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-21 + 11 + (7 - (2 - (-3 + 10))))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(-4*i + 4*i - 3*i) + (4 - 3 - 3)*(4 - 3*i + 3*i - 2*i).\nAnswer: 10*i - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 43 - 94 - 4*k + 31 + 39 + 8*k**2. Determine g(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*t**2 + 13*t**2 + 5*t**5 + 9*t**2 wrt t.\nAnswer: 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 3105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25462 - 76334\/3. Which is smaller: -3.2 or o?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - -0.8. Let r = -1 + h. What is the third biggest value in 1\/6, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 + 106. Let x = o - 4. Suppose -x*f + 6553 = -8223. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/6 + 4\/12. Suppose 5*j - 5 = 5*i - 20, x*i - 13 = 5*j. Let t(l) = 112501*l**2 + 2*l. Let w be t(j). Round w to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/309973 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116359 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118 and 18172.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 + 2538*a - 17686. Calculate f(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*x + 3*b, 154*b - 155*b = 5*x - 23. Calculate the common denominator of 41\/25 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11 + (4 - -1))*(-1)\/2. Solve -3*c + 5*h = 10, -c - 3*c + t*h = -5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 3:32 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2633, 5326, 8019, 10712?\n\"Answer: 2693*q - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/(-165))\/(225\/570 + 2\/4*-1)?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = -3*s - 20, 5*r = 5*s + 10. Let y(x) = -r + 5*x + 10*x + 7. Let v(g) = -2*g**2. What is y(v(j))?\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13392 = -r + 7*r. Suppose q - r = -2*o, -2*o = 3*q + 1124 - 3352. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*i = 7812, -4*i = 3*d - 3995 - 697. Does 47 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142441 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5143837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1219 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u - 35. Let t(b) = 6*b**2 + 9*b - 3. Let k(o) = -7*o**2 - 12*o + 4. Let d(z) = 3*k(z) + 4*t(z). Determine d(v(m)).\nAnswer: 27*m**2 - 630*m + 3675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 y when three letters picked without replacement from {h: 2, y: 10}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -71b2 + a512?\nAnswer: 3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -65? (a) 4 (b) -3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006502 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4121096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 22*q - 1. Let j(p) = -2*p**2 + 51*p - 11. Give -4*b(a) + j(a).\nAnswer: 2*a**2 + 139*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 315.\nAnswer: 4\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 154*p + 5. Let k be y(6). Let z = 883 + k. Suppose 0 = -2*a + z - 58. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2. Let t be -5*-27*(-1)\/(-5). Let h = t + -4. Let i(q) = -11 - 12 + h + 14*q. Calculate i(d(u)).\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2 + 1076861*k - 1076862 = 0.\nAnswer: -1076862, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -65 (b) 0.2 (c) -0.06 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 3 (c) 0 (d) -1\/8 (e) 147 (f) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -305 + 304.8. Let i = -7 + 7.15. Let x = i + -0.1. Which is the biggest value? (a) x (b) -0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -341 + 350. Solve 4*g - f - 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -152*j**2 - 53*j + 6. Let h(n) = 455*n**2 + 160*n - 20. Let f(d) = -3*h(d) - 10*z(d). What is the second derivative of f(x) wrt x?\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + v + 30. Solve -5*z = -0*z + v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 142.518 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 - 6 + 21 - 15. Let r(n) = 5*n. What is r(s(k))?\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 60 - -3?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*t**5 - 30*t**5 - 246*t**5)*(-2 + 0 + 4)*(-2 - 1 + 5).\nAnswer: -1524*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, -0.4, 1.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 945 = 5*v, -4*y = -6*y - 3*v - 373. Let a = y + 208. Suppose -2*c + 5*c = 12. Calculate the smallest common multiple of c and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**4\/12 + 7*f**3\/6 - f. Let c be -2*2\/(32\/40). Calculate j(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 - (43 - 1265668\/10292).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3874 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 l when three letters picked without replacement from wlbauauuaawwaaawa?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 232?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*r + 43*r + 95*r + 193*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25503 times -5?\nAnswer: -127515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/8)*o*o**(2\/13)*o**(-3)\/o*(o**(-3\/4)\/o)\/o)\/((o**6\/o**(1\/4))\/(o\/o**(1\/3))**(2\/47)) assuming o is positive.\nAnswer: o**(-160465\/14664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 1. Let r(i) be the third derivative of i**6\/60 - 5*i**4\/24 + i**3\/6 + i**2. Suppose 25*d - 9*d - 1 = -17. Give d*r(k) + m(k).\nAnswer: -2*k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and -60 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 35 + (-320 - -302) - -26.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 8:55 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/3)*i*i*i**(-8)*i)\/((i*i**(-2\/3))\/i**(-1\/4)))\/(i**3\/(i**(-1\/6)*i)*i**(-3\/4)*i*i*i\/i**3) assuming i is positive.\nAnswer: i**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = f. Let t = -12 + 7. Put t, 3, f in descending order.\nAnswer: 3, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q. Let w(j) = 1. Let s(u) = -18*u - 10. Let x(h) = -s(h) - 10*w(h). Calculate x(m(n)).\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.552 - 27.552. Let h = 0.1 + -0.3. Which is the third biggest value? (a) h (b) s (c) -3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**3 - 3*l**2 - 4*l + 1. Let d(w) = -7*w**3 + 6*w**2 + 8*w - 3. Let m(f) = 2*d(f) + 5*u(f). Give m(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2 + 3*q + 7. Suppose -3*x - 5 = -4*t - 33, 0 = -5*t + 2*x - 28. Let s(c) = 3*c**2 + 2*c + 4. Calculate t*g(r) + 7*s(r).\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 141*l - 12*l - 1231 - 2381 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**3\/3 - 5*w**2\/2 - 6*w - 3. Factor t(g).\nAnswer: (g - 6)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 12 = z. Are z and -2 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22868 less than or equal to 22868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(162) + sqrt(162)*-1))*-4.\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + i + 19. Suppose 5*v = -w - 0*w - 26, 3*v + 4*w + 19 = 0. Let n be j(v). Which is smaller: n or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -10*f + 312. What are the prime factors of p(23)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26, -54, -118, -224, -378, -586, -854?\n\"Answer: -g**3 - 12*g**2 + 15*g - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152 + -140. Suppose -2*l = -0*t + 5*t - o, 0 = 3*t + 3*l - 9. What is the lowest common multiple of (3 - (1 - -1)) + 1 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**3 - 8*p**3 - 34*p**2 + 13*p**2 + 19*p**2 - 2 to the form d*p + l*p**3 + s*p**2 + j and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*d - 167, -6*d - 208 = -3*c - 2*d. Calculate the remainder when c is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from {a: 2, x: 3, c: 7, n: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u + 4. Let w(x) = -3*x - 3. Suppose 7*f + 5 = 33. Calculate f*j(g) + 5*w(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-102)\/(-2) + (3 - 8).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28153719 * -2\nAnswer: -56307438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60485 - -91954. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7\/6)\/t**(-5\/7) assuming t is positive.\nAnswer: t**(-19\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (6 - 2) - -6 - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3216 by 3.\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/50)\/(14\/(-30))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/30 and -19\/10920.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - i = -69 - 113, u + 2*i + 71 = 0. Suppose 146 = -2*y + 482. Let n = u + y. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273429571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**3 + 35*r**2 - 20*r - 60 = 0.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -2 - -3 - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*v**4 - v**3 - 6951*v**2 - 484291*v.\nAnswer: -180*v**2 - 6*v - 13902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22435338*d**4 + 2*d**3 - 34248541*d**2 wrt d.\nAnswer: -538448112*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -6. What is the lowest common multiple of 36 and q?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 v, and 1 o when four letters picked without replacement from {e: 2, y: 3, i: 1, v: 7, o: 4, t: 1}?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - (-78)\/12)\/(6\/16). Let c be 3*((-20)\/6 + o). Solve 4*w - 5*g - 4 = 0, -3*w - 8 = -c*g - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 278, 535, 804, 1091, 1402, 1743, 2120, 2539?\n\"Answer: r**3 + 250*r + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.6 + -1.4. Let o = -150 + 156.9. Let j = b + o. What is the closest to 1\/2 in 0.5, j, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6090000 rounded to the nearest one hundred thousand?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 241?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4972 - 4400 = -22*h. Suppose 1088 = 430*b - h*b. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/4 + k**2\/2 + 7*k\/4 + 1 = 0. What is k?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 441\/((-140)\/((-12180)\/(-783)))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -43*l**6\/6 - l**2\/2 - 8*l + 12. Find the second derivative of y(j) wrt j.\nAnswer: -860*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -176, -78, 4, 2 in increasing order.\nAnswer: -176, -78, -17, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5072, 10142, 15212, 20282, 25352?\nAnswer: 30422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6243141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -10*f - 39. Let i be t(-6). Let a = i - 19. Factor 0*j**3 + 0*j**a + 0*j - 1\/4*j**4 + 0.\nAnswer: -j**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.000946 - 16. What is g rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 986 - 981. Solve 3*j - 5 - 10 = -3*v, 0 = a*j - 4*v + 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13232461?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -608522.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*m - 10*m**2 + 10*m**3 - 5\/2*m**4.\nAnswer: -5*m**2*(m - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3623 divided by 6.\nAnswer: -3623\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 18536, 4 in decreasing order.\nAnswer: 18536, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95 and 2145?\nAnswer: 40755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686851311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7*m*m**(-3\/7))\/(m*m*m**(-7\/4)*(((m\/(m\/m**0))\/m)\/m)\/m*m*m) assuming m is positive.\nAnswer: m**(233\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7130 + -4?\nAnswer: 7125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 8. What is the nearest to 2\/5 in -1\/8, -1\/2, u?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - 1*sqrt(432) - sqrt(432))*-4 + sqrt(432) + 2*sqrt(432) + sqrt(432) + 5)**2.\nAnswer: 960*sqrt(3) + 27673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27227 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*m - 1673 - 1403 - 927 + 1117 = 0 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 - 1 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-25))\/((-2)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29188 is divided by 153.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1287)\/26)\/11 - 90\/(-4)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 11) + 8442 + -8504\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1275621281?\nAnswer: 11, 5869, 19759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**4 + 2027*a**3 - 6*a**2 - 8*a + 3 wrt a.\nAnswer: -24*a + 12162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -8. Let t be (-42)\/(-28)*(-4)\/(-3)*1. Let y(q) = 1 - q + 0*q**t + 5 + 0 - q**2. What is y(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 475956076 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (0 + 3)*-1. Suppose -v - 3*v + 24 = 3*a, -5*v = -15. Solve 2*o = a*p + 10, -g*o - 2 = 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l - 4. Let k(x) = -6*x + 5. Let f(o) = 3*j(o) + 2*k(o). Let p be f(6). Calculate the highest common factor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyettetttttem. What is prob of sequence eym?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**4 + 22*c**3 - 12*c**2 - 58*c + 45. Let w(b) = -11*b**4 - 89*b**3 + 49*b**2 + 231*b - 180. Let h(q) = 2*w(q) + 9*z(q). Factor h(l).\nAnswer: 5*(l - 1)**2*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -111 and 726429.\nAnswer: 726318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4*k = w - 4, 163*k - 166*k - 9 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7192.\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**5\/60 + q**4\/12 - q**3 + 17*q**2. Let k be n(3). Suppose 3*s + k = 0, -3*a + 6*s - 9 = s. Is a at most -20\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from iyiiyiiy.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -761 + 766. Suppose -2*u + 4*w = 2*u - 19916012, -z*u - 3*w = -24894991. What is u rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3812098*r - 5188106 wrt r.\nAnswer: 3812098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*0.556354.\nAnswer: -0.00556354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 0 - 5 - 4*v + 0*v + v. Is 7 a factor of q(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 4*v = -2*k + 8, -2*k = -3*v + 22. Suppose v*x + 6 = 9*x. What is the least common multiple of x and 1\/(-2) + 42\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1632 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 4) in base 9?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 504, 20, 1, -3, -4, -1 in descending order.\nAnswer: 504, 20, 1, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -43.1. Let d = n + -1.9. Let h be (-2)\/(-5) - (-4)\/(-5). What is the third smallest value in h, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4362802.\nAnswer: 2, 337, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-23)\/(g\/(g\/(((g*g*g**(-1)*g)\/g)\/g))))**(-2\/105))**29 assuming g is positive.\nAnswer: g**(1334\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/22 and (0 - -2*29)*(-2)\/(-20).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 1 - (-26 - 3). Let w(i) = 5*i**2 + 2*i - 1. Let x be w(1). Let t = x + o. What is the remainder when t is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 108311 and 236062.36.\nAnswer: 344373.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31356*o**5 - 1209*o**2 - 2*o wrt o?\nAnswer: -1881360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3\/5 + 20\/150*17838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a minute in milliseconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345906557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*h**2 + 99*h**2 - 180*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5513220 divided by 3.\nAnswer: 1837740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30456 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96239 is divided by 49?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d. Let i(t) = -t**2 - 5*t + 24. Let q be i(3). Let g(w) be the third derivative of 0*w**3 + q + 8*w**2 - 1\/4*w**4 + 0*w. What is g(b(a))?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-469)\/(-11792)*44)\/((-1)\/(-8))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1592)\/(-40) - (1104\/(-3220) - -8*2\/14)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 = 4*y, 2*h - 5*y - 6 = -2*y. Let g be h*(8\/28)\/(2\/14). Which is bigger: 5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -460127, -920232, -1380335, -1840436, -2300535, -2760632, -3220727?\nAnswer: -3680820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 68205826\nAnswer: -1\/68205826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**5\/4 + 14*d**4 - 87*d**3\/4 + 17*d**2\/2 = 0?\nAnswer: 0, 2\/3, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 2. Let v be j(2). Let p(d) = 0 + d + 1 - v*d**3 + d**3. Suppose -3 = -3*s - 6. Let k(w) = 2*w**3 + 2*w**2 - w + 1. What is s*k(a) - p(a)?\nAnswer: -a**3 - 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 16*j + 7. Let f(u) = -2*u**2 + 17*u - 8. Let s(g) = -3*a(g) - 2*f(g). What is the lowest common multiple of s(-15) and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 270529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j + 298 = -758. Let g = j - -68. What is the lowest common multiple of 44 and g\/(-4)*-1*48 + 4?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3 + 70636*i**2 + 282916*i - 5440204 = 0. What is i?\nAnswer: -11, 7, 17663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684001 is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1888 and 608054.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 451179 >= 451180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000074975 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 at least 477\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1496 = -4*o, -o + 203 = x - 170. Calculate the remainder when o is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**5 - 26366*u**3 - 446444*u - 2.\nAnswer: -40*u**3 - 158196*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**2 + 2*n**5 - 257*n - 503 + 257*n + 458*n**6 wrt n.\nAnswer: 54960*n**3 + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 322 + -182. Let n = -723234 + 723360. Calculate the lowest common multiple of z and n.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 24*c**2 + 2*c - 44. Let w be o(24). Suppose 4*r - 3*m - 116 = 7, w*m = 2*r - 64. Calculate the highest common factor of 105 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 9. Suppose -4*q + w = 5*f, 5*f = -q - 2*q + 9. Suppose b - 5*j - 48 = f, -2*b = 4*j + j - 21. Calculate the remainder when b is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85219662 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/7))\/y**4*(y**(1\/2))**(26\/9) assuming y is positive.\nAnswer: y**(-80\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -58.\nAnswer: -58.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 = -23*f - 41*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 3*f**3 - 4*f**3 + 3*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -10850, 5 in descending order.\nAnswer: 5, 2\/9, -10850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + h + 47, 113*x - 114*x + 2*h - 5 = 0 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -2*o**2 - 24*o + 3. Suppose -10 = 4*d + 22. What is the remainder when 62 is divided by u(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38219320, 76438638, 114657956, 152877274?\nAnswer: 191096592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -445*s. Let r(u) be the first derivative of u**2 + 715. Calculate r(b(g)).\nAnswer: -890*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**5\/60 + 5*l**4\/24 + 5*l**3\/3 - 2*l**2 - 54*l. Determine d(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 51436?\nAnswer: 257180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30287192 and 9676.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165 + -155. Suppose -c*o + 45 = -o. Solve o*p = -0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15, 178, 617, 1398, 2617, 4370, 6753, 9862?\n\"Answer: 16*z**3 + 27*z**2 - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**3\/3 - x**2 - 964. Calculate a(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**3 + 4*t**2 + 2*t - 8. Let z = -18 - -24. Let u(f) = 5*f**3 + 9*f**2 + 3*f - 16. Let r(v) = z*u(v) - 11*b(v). Factor r(d).\nAnswer: -(d - 2)**2*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.8297821 months?\nAnswer: 0.0235815175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 23163 = -58980. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -100606 + 2?\nAnswer: -100604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m. Let v be x(4). Let j = v + -1. Let l(g) = -2*g - j*g + 0*g. Let n(y) = 4*y. Determine 5*l(z) + 6*n(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*z + 2*c + 23, 4*z - 4*c = 20. Suppose -5*g = -z*g - 186. Let h = -24 + g. What are the prime factors of h?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 32780*s - 149. Let c(x) = -443*x + 2. Let y(a) = -149*c(a) - 2*t(a). Let k(l) = l - 18 + 18. Calculate y(k(d)).\nAnswer: 447*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 10 = 2. Calculate the remainder when (-123)\/(-6) + 5\/10 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1397, -2801, -4205, -5609, -7013?\n\"Answer: -1404*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 - 97*t**2 - 43*t + 245. Let p be i(-48). Solve 2*q - 12*m = -13*m - p, q + 3*m = -15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -675 divided by -27\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 19*l**2 - 21*l - 27. Let g be (-16 + -2)\/(-1 + 2). Let o be r(g). Let b = o - 51\/2. What is the third smallest value in 4, b, -1\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 853\/1974 + -1\/282. Is b greater than or equal to -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 5 (c) -0.3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p. Let g(k) = -k - 5. What is -g(l) + 2*u(l)?\nAnswer: 3*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i + 16. Let f(b) = -b - 3. Let j(x) = 11*f(x) + 2*p(x). Let y(t) = t + 1. Let a(r) = -3*r - 11. Let l(v) = -a(v) - 6*y(v). What is -4*j(c) - l(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**4*l)**(-2\/19)*(l*l**(-8\/9))\/((l\/((l*l\/(l**10*l*l))\/l*l))\/l) assuming l is positive.\nAnswer: l**(-1673\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 76721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -31*g - 77. Calculate s(-7).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1849*a - 316*a + 73*a)*(-1 + 2 + 0) + (-4 + 5 - 3)*(2*a + 1 - 1).\nAnswer: 1602*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12 + 39.88. Let r = 35 - f. Which is the biggest value? (a) r (b) 3 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 + 4 - (2 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 534*d**4 - 15*d + 17770.\nAnswer: 2136*d**3 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 4*s - 149. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*b - 1742, -8*l - 577 = b - 6*l. Let t = 1498 + b. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2869952\/11 or -260906?\nAnswer: -2869952\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*g**3*l - 5461*g**3*m + g**2*l*m + 10569*g*l*m - g*l + 2*g*m - 3*g + 2*l*m wrt g?\nAnswer: -342*g*l - 32766*g*m + 2*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - (1 - (-3 - -2)). Suppose s*k = k + 16. Let m = 0.01 - -0.39. What is the third biggest value in m, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -519129 divided by -3.\nAnswer: 173043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 24\/49?\nAnswer: 24\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**3\/3 + 4*r - 2. What are the prime factors of j(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 8. Let x = z + 17. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, o: 2, r: 2, z: 6, u: 3}. What is prob of picking 2 u, 1 z, and 1 o?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.45026 millilitres in litres?\nAnswer: 0.07245026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 132.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v + 8*v + 107*v = -6803 + 789 for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71295 - 47355 = 318*n + 81*n for n.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 633*i + 634.\nAnswer: -(i - 634)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21842.\nAnswer: 2, 67, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 1. Let q = 6 + -9. Let j = q - -2. Let p be x(j). Solve -a + p = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1290\/(-1161) - (-8)\/9. What is the closest to -2 in 5, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4045631 is divided by 84.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o = -31*o + 48. Let n(r) = r + 1. Give n(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3456913 is divided by 2409.\nAnswer: 2407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1970 = 230. Let d = -330 + y. What is the remainder when 33 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t + 205. Let j be r(32). Suppose -j*i = -290*i - 12430. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from ohoh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(77) + -2*sqrt(77)))\/(sqrt(704)*-1).\nAnswer: 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 5*w**2 + 5. Let r be d(5). Suppose y + 3*z = -2*y + 3165, r*y - 5*z = 5315. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56826\/7749*(-27)\/11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5001 + 5468. Calculate the remainder when w is divided by 91.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -383 - -733. Let q = 349.59 - b. Sort -1\/5, -1, q in decreasing order.\nAnswer: -1\/5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46620438 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2533\/780 + -1\/390. Let v = -146629\/7820 + 1\/1955. Find the common denominator of v and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 428024, 856054, 1284084?\n\"Answer: 428030*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (35 + 23)*(-1)\/(-2)*37. Which is bigger: 5371\/5 or p?\nAnswer: 5371\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -3063b5?\nAnswer: -3063ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 + y**2 + 3*y + 3. Let i(p) = 4*p**3 - 4*p - 4. Let u(v) = -2*i(v) - 3*n(v). Determine u(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23955039 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 n, and 1 d when four letters picked without replacement from qddndnnndnqq.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230 and 19398545.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f**2 - 1285*f + 204. Determine l(-142).\nAnswer: 1198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 1 - 2*-1. Let t(x) = -x + 10. Let p be t(5). Suppose -10 = -2*u - 2*c - 2, p*u - 5*c = -10. Solve -u = f - 3*b, 0*f = f + 3*b - m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdjdmmdmmrrrdm. Give prob of sequence dr.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 52 + 12. Let w = 610 + -400. Calculate the remainder when (-2)\/8 - w\/t is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -948 <= -955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20695 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 l, and 1 r when three letters picked without replacement from rlrbmmibmmmm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -746.1641 rounded to 1 dp?\nAnswer: -746.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-5))\/2)\/(7901\/1050833).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*3\/9)\/(105\/(-600)*1).\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*i = 8*b - 248, -4*i - 168 = -3*b. Let k = -6 + b. Suppose 19 + 50 = y. What is the highest common divisor of y and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25f (base 16) to base 5\nAnswer: 4412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 3)\/4 + (-17)\/(-4). Find the second derivative of -18*h**2 - j*h**2 + 2*h - 8 + 26 wrt h.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-506886)\/117*2\/(-4). Let g = d + -6331\/3. Let p = -56 + g. Sort -2, p, -3 in descending order.\nAnswer: p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.683 - 0.317. Sort 2, -5, -1\/15, c in decreasing order.\nAnswer: 2, -1\/15, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, v: 5}. Give prob of picking 2 v and 1 t.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1312*y**2 + 5*y - 23. Let k be j(2). Is k at most as big as 5235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3904391 + 544391. Round g to the nearest 100000.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -235, -358, -481?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 3:20 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -133*s*z**4 + 2*s*z**2 + 72*s*z + 7755889*s wrt z?\nAnswer: -532*s*z**3 + 4*s*z + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001052352303 to five dps.\nAnswer: 0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3)**29 assuming b is positive.\nAnswer: b**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - 2*w + 2*w + (-4*w - 2*w + 4*w)*(1 - 1 + 2*w) + w**2 - w + w - 3*w**2 + 6 - 2*w**2 + 3*w**2.\nAnswer: -3*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -15, -0.0793, -3, -2?\nAnswer: -0.0793","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18.53 and 19.3.\nAnswer: 37.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 37*v - 36.\nAnswer: -(v - 36)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -232 + 229. Let v(r) = -r**2 + 7*r - 5. Let w be v(2). Put w, 1, j in decreasing order.\nAnswer: w, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.32 (b) 0.1 (c) 11 (d) -4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9501714 to three decimal places.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**5\/5 + 3*t**4 + 9*t**3\/5 - 51*t**2\/5 + 6*t = 0. Calculate t.\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1072096268 or -1072096267?\nAnswer: -1072096268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 32*v**2 - 3*v**2)*(8*v**2 - 5*v**2 - v**2) - 4*v**3 + 2*v**4 + 4*v**3.\nAnswer: -62*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1418331 and 50\/26649693.\nAnswer: 506344167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1078*m - 6. Let l(o) = 51742*o - 287. Determine 6*l(u) - 287*n(u).\nAnswer: 1066*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7*r = 216. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104.88 + -1.88. Let v = -9177492.256 + 9177389.25600061. Let t = v + i. What is t rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) - 1\/(-3). Suppose s = -5*j - 2*j - 14. Let m = 91\/114 - 12\/19. Which is the closest to j? (a) m (b) 1\/4 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4238, -8464, -12736, -17060, -21442, -25888, -30404?\nAnswer: -34996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4894.84 meters in micrometers?\nAnswer: 4894840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/(-35))\/((-1)\/10). Let c be (4 - 2)\/(1*b). Sort -5, c, 4.\nAnswer: -5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5313625.\nAnswer: 5, 42509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1331) + (-5 + sqrt(1331) + sqrt(1331)*-1 + sqrt(1331) - sqrt(1331)) + sqrt(1331)) + 0.\nAnswer: -132*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10608151 to the power of 1\/2, to the nearest integer?\nAnswer: 3257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {f: 3, c: 1, t: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**7\/2520 + 7*r**6\/720 + r**5\/24 + 5*r**4\/24 + 2*r**2. Let z(c) be the second derivative of b(c). What is z(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + d - 108. Let s be y(0). Let z = s + 53. Find the common denominator of 1966\/(-44) - 10\/z and -17\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 50*a - 32. Let v(u) be the third derivative of -u**4\/8 + 222*u**2 - u + 1. What is q(v(z))?\nAnswer: -150*z - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -142 and -17258.\nAnswer: 2450636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516466?\nAnswer: 2, 258233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 14. Let n be g(-6). Sort n, 3, -1, 18 in decreasing order.\nAnswer: 18, 3, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**3 + 3*k**2 - 2*k + 3. Suppose -35 = 7*d - 2*d. Let o be 8\/(-28) + (-16)\/d. Does 19 divide g(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s + 1. Let w be x(-3). Let m be -1 + -2 + (1 - -12). Solve 12 = w*n - m*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*p - 10, 0*s - 4*s = p + 2. Let w be ((-10)\/4)\/(7 - (-198)\/(-24)). Let f be -1 - (-14 - -18 - (w + -1)). Put s, f, 2 in decreasing order.\nAnswer: 2, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (43\/301*84)\/((-72)\/32)\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-11)\/((-220)\/(-30)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3917 divided by 343.\nAnswer: 3917\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 16\/7 of a week?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2760.6186 rounded to 0 dps?\nAnswer: -2761","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 15*v + 75 = g, -g + 227 = -2*g - 3*v + 212 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*o + 1577*i + 1634*o**4 - 2 wrt o.\nAnswer: 2*i + 6536*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/12, -2\/3, 88.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -12*m - 34. Is g(-9) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d - -12734?\nAnswer: 12751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 5.4, 7\/246, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5204?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5452, -160, 0, -5 in decreasing order.\nAnswer: 0, -5, -160, -5452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**5 + 54 + 20881078*w**3 - 20881078*w**3 + (-3*w + 3*w + 2*w**5)*(2 - 3 + 3).\nAnswer: 9*w**5 + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-21)*(-72)\/48.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3*l - 18*l + 8 - 3.\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2660963633?\nAnswer: 23, 53, 107, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 - -90. Let -16\/3*m**k - m**3 + 16\/3*m**2 + 7\/3*m**5 - 4\/3*m + 0 = 0. What is m?\nAnswer: -1, 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*k - 4*b, 3*k - 505*b + 1 = -503*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {q: 7, z: 2, v: 1, y: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.6 + 30. Let m = -6 + 6.1. What is the closest to m in 5, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 222272\/966 - -40 - (-4)\/(-42). What is the highest common factor of j and 486?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4539 divided by 496.\nAnswer: 4539\/496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/15)\/v)**(-34)\/((v**6*v)\/v*v*v**(4\/3)*v) assuming v is positive.\nAnswer: v**(146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5983 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 (base 8) in base 7?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/3946 and -145\/16452?\nAnswer: 32459796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -3, 6, 7, -2448, 1 in descending order.\nAnswer: 7, 6, 5, 4, 1, -3, -2448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 11) to base 9\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/156618 and 89\/199332.\nAnswer: 2192652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137800050 to the nearest integer?\nAnswer: 11739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.1525?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8\/7 + -9\/7. Let m be 2\/6 + 0 - 1. Let t = -1970 - -1969.7. Put m, t, v, -0.5 in descending order.\nAnswer: v, t, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -6. Let y = 0.007 - b. What is y rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/320 and -107\/88?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -174a9 - 2ba?\nAnswer: -177a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2803\/38 or 73?\nAnswer: 2803\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2230002031 (base 4) to base 2\nAnswer: 10101100000010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u - 8. Calculate b(-11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f + 1370 = -5079 - 6031. Calculate the least common multiple of 135 and f.\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9226 + 9227.6062. Let i = -1.6 + u. What is i rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9335?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2 + 6. Let v be 2 + 0\/m - 0. Suppose -7 - v = -s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 12208.86 millilitres?\nAnswer: 12.20886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 553 = 5*w - 4*l, -3*w - l + 335 = -5*l. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**4 - 5*k**3 - 41*k**2 - 130*k.\nAnswer: -24*k - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 1 = m - 4, -165 + 39 = -33*m + 6*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2462*b**3 + 15*b**2 - 11*b + 46. Let i be 15 - (2 + 4)\/(-3). Let t be c(i). Round t to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 278625239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(78) - 6*(sqrt(78) + sqrt(78)*-1))\/(sqrt(24)\/sqrt(100) - sqrt(24)*5).\nAnswer: 25*sqrt(13)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 732*n + 1563*n = -264014 + 6974 for n.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -631\/5 - -126. What is the biggest value in 7, -1\/3, j, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-2) + -5 - -1. Let x be ((-4)\/c)\/(2\/111). Suppose -3*n = -0*t - 2*t + x, 5*n = 5*t - 90. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 + 47*w + 67. Let t be s(25). What is the nearest to -0.6 in t, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 7*j**3\/3 - 1. Let m(l) = -193 + 193 - 3*l + 5*l. Determine g(m(o)).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 17*f**2 + f + 2. Give a(-17).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 21504024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2776 + 2857. Calculate the remainder when 99 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.4, 13, -284, -3\/2, -5 in descending order.\nAnswer: 13, 1\/2, 0.4, -3\/2, -5, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2011*t = 2012*t - 4*j + 41, t = j - 32 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23371, 46682, 69935, 93142, 116315?\nAnswer: 139466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/1051 (b) 9 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2152 and 48958?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5251, 5251, 5253, 5257, 5263, 5271, 5281?\n\"Answer: g**2 - 3*g + 5253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -788.27 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2699 + 3833. What is the greatest common factor of 42 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -7, 31, -1 in decreasing order.\nAnswer: 31, 8, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1499*l**3*x + 3*l**3 - 3224*l**2 - x wrt x?\nAnswer: -1499*l**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 14) to base 8\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60913*v - 61150*v = -13746 for v.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1091 + -1090.9994013. What is t rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1565, 3090, 4623, 6170, 7737?\nAnswer: 9330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.5 take away 11073173210?\nAnswer: -11073173297.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**5\/6 + 53*u**4\/3 + 31*u**3\/2 - 53*u**2\/3 - 44*u\/3 = 0 for u.\nAnswer: -1, -4\/5, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 0 + 5*v**3 - 2 + 5*v**2 - 5*v. Let o(r) = 6*r**3 + 6*r**2 - 5*r - 2. Let j be ((-15)\/(-10))\/((-3)\/(-8)). Give j*o(y) - 5*m(y).\nAnswer: -y**3 - y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3943\/1836 + 31\/17. Calculate the common denominator of s and 13\/96.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15784672 is divided by 7892325.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 614*o + 31307. What is r(-51)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 777300.\nAnswer: 3109200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/196 and 117\/2027018.\nAnswer: 28378252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4055763 divided by 1351921.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 250716803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/195 and 8634\/(-11960) + ((-280)\/112)\/((-30)\/9).\nAnswer: 4485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 430289369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -62.788\nAnswer: -2.51152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 + -63. Suppose 14 = r + s*g, 3*r + 4*g = r + 8. Sort -4, -1, r in descending order.\nAnswer: -1, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 6 + 19. Let l(w) = -5*w**2 - 2*w + 1. Let h(m) = -4*m**2 - 3*m. Let b be (-2)\/8*-4 - -3. Let q(a) = b*h(a) - 3*l(a). Calculate q(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 4 (b) 29 (c) 2 (d) 3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 + 45 = 2*d. What are the prime factors of d?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -339998*m - 18. Let l be v(9). Round l to the nearest 100000.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/79, -0.25, 4, 1.8 in decreasing order.\nAnswer: 4, 1.8, -12\/79, -0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**6\/4 - 9*h**5\/10 - 3*h**4\/4 + h**3 + 9*h**2\/4 + 3*h\/2 - 4. Find k, given that n(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91118.183 rounded to the nearest one thousand?\nAnswer: 91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/3 - 1 - 4)*-13. Let d = -8 + 11. Suppose -d*m + 260 = m. What is the greatest common factor of x and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131323 - -102?\nAnswer: -131221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/6 (b) -3\/80 (c) 1\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -17, 3, -3\/382?\nAnswer: -3\/382","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4103515 and -5.\nAnswer: -20517575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 + 74. Let j = y - 14.2. What is the nearest to j in 2, -2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*z + 3*s, -3*z + 0*s - s = -5. Let u(l) = l**2 - 2 + 28 - l + z*l - 4. Is u(0) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 137756?\nAnswer: -137755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - -3*(-1)\/(-1). Suppose -3*d + p = 10. Is -3 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/14)\/((-4)\/10)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -714637, -714636, -714635?\n\"Answer: c - 714638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q**4 - 591789*q**3 - 38910718489*q**2\/8 + 16214032285*q\/4 - 6756018025\/8 = 0. What is q?\nAnswer: -16439, 5\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - 1*sqrt(99))*-6)\/(3*sqrt(225)) - (1 + sqrt(44)\/sqrt(4) + sqrt(121)\/(sqrt(11) - sqrt(11)*-1)))**2.\nAnswer: 3*sqrt(11) + 103\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*y + 14 = 0, f + 142*y = 145*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*z)*(-7 + 10 + 4)*(-693*z**2 + 493*z**2 - 2 + 2) to the form h*z**2 + n*z + t*z**3 + j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9 (b) 124 (c) 2 (d) 298\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 48. Let t be 34\/(-10) + 2 - -1. Let c(r) = r - 8. Let u be c(13). What is the closest to t in u, v, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101 + -100100011011110001011?\nAnswer: -100100011011101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(1584) + -1 + 2)*5 + -5 + -3) + 0)**2.\nAnswer: -9000*sqrt(11) + 990225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22991 divided by 3\nAnswer: -22991\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 670017786 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 240, 5, -55 in decreasing order.\nAnswer: 240, 5, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 504 and 4?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*c**3*p**3 + c**3*p + 27*c**2*p**2 + 2*p**3 wrt c?\nAnswer: 252*p**3 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*k - 1788. Suppose 0 = 4*f - 0*f - k. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 296 - 275. Suppose -20644 = 8*q - i*q. What are the prime factors of q?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5844 and 186528.\nAnswer: 90839136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1339\/18188 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -22\/748619?\nAnswer: -22\/748619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 418 divide 198332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -287 - -439. What is the remainder when p is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 9:27 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -4491.\nAnswer: -4\/4491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3376*w**2. Let g(n) = n**2. Calculate a(g(m)).\nAnswer: -3376*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t - 260 - 38 - 314 = 0. Solve -t*m - 238 = 16*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3590657.\nAnswer: 7, 41, 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.036848*0.4.\nAnswer: 0.0147392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-6\/5)\/a*a))\/a)**(-8)*((a**(-2)*a)\/a)\/(a*a**6) assuming a is positive.\nAnswer: a**(-93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 162*l - 4046. Give g(26).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20631547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 8:31 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 314854 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -57. Let c(y) = -26*y**3 - 4*y - 5. Is c(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**3\/3 + l**2\/2 + 4*l + 46. Let n be g(2). Factor -54\/13*f**n - 18\/13*f**4 + 0*f + 0 + 54\/13*f**3 + 2\/13*f**5.\nAnswer: 2*f**2*(f - 3)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1474 - 943. Suppose 2*y = -3*j + q, -10*y - 2*j + 1050 = -6*y. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*a + 66, 7*j = 26*a - 21*a - 285. Suppose 3*s + 5*p - 9 = 0, 5*s + 0 = 3*p + 15. Sort 0, s, j in decreasing order.\nAnswer: s, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-6 - (13 - 19))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 54 + 22 = 0. Let x be 8*(10\/s)\/5. Solve 0 = n + n - x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14287 and 28?\nAnswer: 57148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11192097?\nAnswer: 3, 7, 61, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooot when four letters picked without replacement from {o: 12, t: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1584) + 0)*1 - sqrt(1584)) + 3*(sqrt(1584)*-2)**2.\nAnswer: 19008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2 + 7760*h + 257064808 = 0. What is h?\nAnswer: -9562, 13442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 12*p**2 + 4*p + 5. Let h(c) = -18*c**2 - 6*c - 7. Let v(s) = -5*h(s) - 7*r(s). Let t be v(-2). Let i = -13 + t. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36076 is divided by 7160?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1787 + -1786. Let x(o) = 47*o + 1. Determine x(a).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -937721\/30 - -31253. Find the common denominator of 5 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -9*v**2. Let z(k) be the first derivative of -7*k**2\/2 - 144. Give z(p(a)).\nAnswer: 63*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 22, -3.\nAnswer: -3, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2135 + 2750. Calculate the remainder when x is divided by 156.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcf when three letters picked without replacement from rcnuf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 8*u**2 + 12*u + 2. Give f(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195\/525 + (-36)\/(-630).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442 (base 6) to base 15.\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-190)\/22 - (-11)\/22*20. Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 16*w - 3. Let d(n) = 15*n - 4. Let r(t) = -3*d(t) + 4*j(t). Let z(k) = 3*k. What is z(r(v))?\nAnswer: 57*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d + 5723 = 15271. Suppose -o - 207 + 31 = -4*u, -u - 4*o = -44. Calculate the highest common factor of d and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**4\/72 + 13*c**3\/36 - c**2 - c + 32. Determine u, given that h(u) = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/7)\/(21\/14))\/(-9).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46053)\/(-4515) - (-1)\/((-4)\/52).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 5 + 3 + -7 + (26 - 6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1557 divided by 1.\nAnswer: -1557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-45)\/35 + 2 + 441\/343. Let x(i) be the second derivative of -i**j + 1\/18*i**4 + 0 + 33*i + 2\/9*i**3. Suppose x(o) = 0. Calculate o.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/39815 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, i: 4, h: 4}. What is prob of picking 4 i?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1050*y + 2*y**2 - 695*y + 602*y.\nAnswer: 2*y**2 - 1143*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10 + 4 - -5 - (-3 - 12). Round r to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**5\/4 - o**2. Let b(k) = -121 + k**2 + 145 - 24. Calculate p(b(m)).\nAnswer: -15*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 835*f + 1937. Does 10 divide q(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -46*b - 555. Determine m(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21103 - 2?\nAnswer: -21111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 3*w + 107, -5*t - 6432 = -2*w - 6569. What is the closest to -0.1 in 6, 2\/9, t, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -177.14, 3, -0.5, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0*462\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6415 - 4539. Is v\/(-8)*-2 - 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z - 27*z + 62*z - 32 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11212102211 (base 3) to base 10.\nAnswer: 95818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42245598607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 - 31*x - 101. Suppose 6912*w + 36 = 6903*w. Determine a(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.6 + 4.6. Which is the fourth smallest value? (a) 2 (b) -3 (c) 0.1 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543286.3 litres in millilitres?\nAnswer: 543286300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2) + sqrt(162) + 1) - (sqrt(98) + 2 + sqrt(98))*-6)**2.\nAnswer: 5184*sqrt(2) + 41796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000011011101101 (base 2) in base 11?\nAnswer: 90899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 1:19 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 7. Suppose 0 = 4*q - 7 - 1. Which is the third smallest value? (a) 0.4 (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 239, 359?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 2:17 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.076 * -769402.\nAnswer: 58474.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 5*d - 5*d - 7*d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 30*d - 26. Give i(-9).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**5\/30 + a**4\/3 + a**3 + 8*a**2. Factor b(w).\nAnswer: 2*(w + 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 9*y + 11. Calculate o(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044 divided by -4?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*3*3)\/(2*sqrt(5)*3 - sqrt(5)).\nAnswer: 9*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/29148 and 37\/2846094.\nAnswer: 39845316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/40)\/((-636)\/(-171688)). Let x = -2\/265 + s. Find the common denominator of 73\/10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 197 - 164. Calculate the common denominator of 137\/120 and 42\/(-80)*(q - 45).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001971969 rounded to 6 dps?\nAnswer: 0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -7*v + 15. Suppose 356 = v*y + 106. Suppose 5*j + 7*w - 2*w - y = 0, 0 = 3*j + w - 20. Solve 11 = j*d - 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -500 divided by -323233\nAnswer: 500\/323233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*o = 13*o - 1272 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b - 35. Let d be i(15). Put -15, 1, d in descending order.\nAnswer: 1, d, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22*(-15 - 396\/(-24)) and 2871.\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 6*z**2 + 2*z - 5. Determine b(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 80371, 80400, 80429, 80458, 80487, 80516?\n\"Answer: 29*b + 80342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**2 + 2*v - 8. Calculate k(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -907979*-47\nAnswer: 42675013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + k + (0 + 1 + 1)*(3*k + 2*k - 7*k) + 0*k + 3*k - 4*k + 3*k + 1 - 1 - k + 0 + 0.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**6\/360 + 11*t**5\/120 - t**4\/2 + 37*t**3\/2 + 63*t + 1. Let a(m) be the second derivative of c(m). What is a(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 0.1, 2\/203 in decreasing order.\nAnswer: 0.1, 2\/21, 2\/203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 2*c + 4. Let g be m(6). Let x be 2\/(-5) - 38\/g. Let a = 262078 + -262080. Sort 2, a, x, -1\/4 in ascending order.\nAnswer: a, -1\/4, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 8 + 0 + 10 - 40*u - 5*u in the form i + h*u and give h.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 0.5, 2, 0.3527?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 15*u + 39. Suppose 0*r - 5*a = -5*r - 110, -4*r - 43 = 5*a. Let l be v(r). Solve -2 = -5*i - 27, i = -3*c - l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**(-10\/7)*u*u)*u**12*u assuming u is positive.\nAnswer: u**(87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -5, -0.216, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, k: 4, r: 2, c: 2}. What is prob of sequence kc?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 145*a + 10361. Calculate o(-76).\nAnswer: -659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 0 + 0 + (3 + 0*u + 4*u - 5*u)*(0 - 1 + 2)*(5 + 15 + 43)*(1 - 3 + 3).\nAnswer: -65*u + 189","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b - 8. Let v(n) = -2*n**2 + 3*n - 2. Let s be v(2). Let f be t(s). Solve i = f - 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(1053) + sqrt(1053) + 1 + 0 + (4*sqrt(1053) + -4)**2).\nAnswer: -1350*sqrt(13) + 84315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*w = -9, 6*w - 20 = w. Solve z*d - 5 = 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/312 and (-1135)\/(-195) + (-23)\/(-92) - (0 + 6).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494847 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**5\/90 + 55*n**4\/36 - 56*n**3\/9 - n**2 - 332. Factor i(y).\nAnswer: 2*(y - 1)*(y + 56)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47.067 + -46.28638. Let n = 32.22 - 33. Let b = u + n. Round b to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -107448.9662 to the nearest ten.\nAnswer: -107450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -0 + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115848 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -14*k**2 - 17*k + 16. Let r(v) = -43*v**2 - 58*v + 49. What is -7*f(z) + 2*r(z)?\nAnswer: 12*z**2 + 3*z - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 10 = 15*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*l - 8*l + 4*l. Solve l = 3*f + 12, 5*x - f = -6*f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 430, 862, 1294, 1726, 2158?\n\"Answer: 432*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (3 - (-14 + 5)) - (-1 - 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 64 times 0.09\nAnswer: 5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18417 is divided by 197.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 4. Let s be x(-3). Let a = s + -3. Let n(i) = -3*i**2 - 2*i. What is n(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-163 + 0 - 2). Let n = -43 - -51. Suppose -3*u - s = -n*u. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115 - 163. What is the remainder when 80 is divided by (2 - (-50)\/8)\/((-18)\/x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/5212632 and -79\/5212632.\nAnswer: 5212632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43144 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -280 - -278. Let m(y) = 3*y**3 + 3*y**2 + 3*y. What is m(s)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6 + 2*v**2 - 2*v**2 - v + 2*v**2 + 1. Let r be g(-11). Round r to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - -4*(-1 + 53\/4). Suppose -5 - 42 = -x. Let r = w - x. What is the remainder when 12 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-362 - -331) + 18*(-8)\/(-12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 5*q**2 + 5*q + 6. Let s be j(6). Suppose u + 0*u + 18 = s. Let r = -12 - u. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 21 = 9*x. Suppose 0 = l + 5*r - 9, -2*l - 1 = -x*l - 3*r. Let a(v) = -3*v**2 - v - 1. Calculate a(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38 and 0.2294823.\nAnswer: 38.2294823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10387981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 16. Let o = 55 + -45. Suppose o*s = 7*s - 12. Let m be s\/6 - 138\/(-18). Determine h(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i - 23. Let v be a(3). Suppose 5*z = z - x + 11934, -v*z + 11942 = 5*x. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + 0*r + 3*r**4 + (7*r**3 + 23 - 23)*(-r - r + 3*r) - 2*r**4 - 2*r**4 + 5*r**4 + (-6*r + 4*r + 3*r)*(-2 + 2 - 2*r**2)*(-15*r + 2 - 2).\nAnswer: 41*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.3546 rounded to one decimal place?\nAnswer: -26.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103587541\/105 - -986569. Let r = 146\/7 - l. What is the third smallest value in r, -0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 5:42 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3248, -3323, -3400, -3479, -3560?\n\"Answer: -u**2 - 72*u - 3175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**4 - 44082*a**3 - 176361*a**2 - 220464*a - 88188 = 0.\nAnswer: -2, -1, 14698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 7*f - 3. Let x be d(5). Suppose -3*p + 25 = x. Let a = p - 3. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 16529054682940.\nAnswer: 16529054682940.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 6 - 3*j - 5 - 2*j - 4 + 4 - j - 3*j + 2*j + (0 + 0 + 2)*(-2 + 2 + 3*j).\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192574?\nAnswer: 2, 73, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*w + 69, -5*c = 2*w - 35 - 128. Let b = 38 - c. Suppose -4*y + 2*y + 4*f + 8 = 0, 0 = 5*f + b. Solve 0 = -y*t + 2*h - 5 - 1, 3*h = 15 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.61 - -1.81. Let y = 3.88 + 0.12. What is the closest to 1\/5 in y, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -5. Let p = r + -2. What is the nearest to 0.2 in 0.5, p, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/(-99) - (-14)\/77. Suppose -24*y = -6*y + 90. What is the nearest to 0 in y, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19587019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 34*c - 16. Let y(w) be the first derivative of -65 - 11\/2*w**2 + 5*w. Give 5*n(a) + 16*y(a).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-51)\/39 + (-244)\/(-793). Let h = -80\/323 + 6\/17. What is the closest to 2\/7 in h, -30, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/16 (b) 2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1826 and 92213?\nAnswer: 184426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 19*h**3 + 37 - 37.\nAnswer: -19*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12 - 119\/(-14))\/((-9)\/56142)?\nAnswer: 7, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40991025 divided by -2732735.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-25)\/60 + 0)\/(44\/(-264)). Let u = 0 + 0. Which is the closest to u? (a) -0.8 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.80975ng in kilograms?\nAnswer: 0.00000000003280975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.06 and -2663367.\nAnswer: -2663367.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 79 = -3*l + 117 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -12 - 33. Solve 2*m + 5*h - z + 2 = 0, h - 1 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 1. Let o(c) = -1. Suppose 15 = 5*y + d, -3*y + 12 = y + 3*d. Let u be (y*4\/(-12))\/(-1). What is u*o(t) + q(t)?\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 - 5*k**2 + 62*k + 178. Let h be m(-3). Let a = 12 + -5. Suppose -3*c = -a*c. Sort 2, -1, c, h in decreasing order.\nAnswer: 2, h, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 317\/5 (b) 4 (c) 323.4 (d) -4 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 - 32*y**2 + 4*y + 2. Let n(v) = -v**3 - v**2 - 7*v - 1. What is n(z) + x(z)?\nAnswer: 2*z**3 - 33*z**2 - 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/(-1)*(0 + 617). Let k = r - -209727\/20. What is the common denominator of 4\/48 + -6 + 2 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 18 + 27. Let w(b) be the third derivative of 0 + 0*b**3 - 1\/12*b**4 + 0*b - 6*b**2 - 1\/60*b**y. Find the second derivative of w(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 2) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(252) + sqrt(252))**2 - 2*(sqrt(252) - sqrt(252)*2))*2.\nAnswer: 24*sqrt(7) + 2520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 65 = 3*u. What is the closest to -0.2 in 0, u, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/2)*i**(-5\/4)*((i**(2\/7)*i)\/i)**(-2\/25) assuming i is positive.\nAnswer: i**(-1941\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 65970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64665?\nAnswer: 3, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34\/163 + -17807\/2934. Let k = 9\/217 - 10343\/3472. Find the common denominator of k and j.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 4*a - 3. Calculate j(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**4 - 4*m**4 + 2*m**4 + 4*m**4 - 3*m**4 - 3*m**4 + (-m + m + m)*(-m**3 + 0*m**3 + 2*m**3) + 0*m**2 + m**4 + 0*m**2.\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**2 - 2*k - 1. Let r(n) = 401*n - 4. Let x be r(1). Suppose -x*s + 401*s = 8. Give t(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-6)\/(90\/25) + -70*703\/(-1554)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -8 - 2) + (-5 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 60, 4, -4 in decreasing order.\nAnswer: 60, 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p + 44. Let k(x) = -3*x + 24. What is 7*k(z) - 3*m(z)?\nAnswer: -3*z + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -943.97 times -0.502?\nAnswer: 473.87294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**4\/8 + j**3 + 7*j**2. Let v(q) = 2*q - 5. Let i(k) = 5*u(k) + 6*v(k). Let n(h) = 2*h. Give i(n(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32945427.\nAnswer: 3, 41, 29761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*t - 12 = 0. Factor 4*n**4 + 0*n**t - 3*n**3 - n**4.\nAnswer: 3*n**3*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 5*k = -6*n, 2*k - 8 = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p = -18*p. Let u(x) = -2*x + 30. Let r be u(p). Find the second derivative of -r*v - 17*v + 56*v + 5*v**2 wrt v.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 483, 2253, 5187, 9273, 14499, 20853, 28323, 36897?\n\"Answer: -2*o**3 + 594*o**2 + 2*o - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**2 + 212. Let u(f) = 4*f**2. Determine d(u(s)).\nAnswer: -80*s**4 + 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -246612 or -75?\nAnswer: -246612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3780 (base 13) in base 14?\nAnswer: -2c2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 - 135*z**2 + 265*z - 13281. Determine s(67).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.7, 2\/7, 2\/9, -4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1442.306*-3.\nAnswer: -4326.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12125402 (base 6) to base 7\nAnswer: -3161663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1899 and -25\/1688.\nAnswer: 15192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1460 + 2567. Let i = f - -542. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -1\/2*l**3 + l**2 + 13 - 1\/2*l**4 - 1\/10*l**5 + 2*l. Factor j(u).\nAnswer: -(u - 1)*(u + 1)*(u + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2. Let k(v) = -5*v**2 + v - 3. Let u(s) = -k(s) + 4*w(s). What is u(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/45)\/(o\/o**(2\/145))*(o*o**27)\/((o*o\/(o**(-9)\/o))\/o) assuming o is positive.\nAnswer: o**(20956\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -3*p**5\/10 + 7*p**4\/12 + 4*p. What is the third derivative of o(y) wrt y?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {c: 1, o: 2, x: 11, e: 1, h: 1, m: 2}.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*p - 5*n, -73 + 53 = -p + 4*n. Which is smaller: p or 201\/56?\nAnswer: 201\/56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48533599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6510177, 6510177, 6510167, 6510141, 6510093?\n\"Answer: -x**3 + x**2 + 4*x + 6510173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, q: 9}. Give prob of sequence nqn.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**2 + 2*o. Let p(v) = v + v**2 + v**2 - v**2. Suppose 4*d - 2*j = 71 - 65, -3*d - 3*j + 9 = 0. What is d*p(s) - a(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-64521)\/(-2996))\/201*1*2\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -48*k + 4800. Let n be h(100). Solve -29*j + 8*j - 20*j = n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**4 - 8*d - 3*d**3 + 854*d**2 + 14*d**4 + 13*d - 850*d**2 - 2*d**4 to t*d + j + l*d**3 + f*d**4 + q*d**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 24. Let g(f) = 14*f + 176. Let z(o) = 3*g(o) + 22*m(o). Let k(n) = -168*n**2 - 4*n. What is k(z(i))?\nAnswer: -672*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -36.6. What is the second smallest value in f, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 0*c + 3*c. Let x(v) = v**2 + 3*v - 2. Let z be x(-4). Let p(i) = 6*i**2 - 5*i**2 - z*i**2. Determine p(d(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (38 - 24 - -15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 6*g**2 + 15*g - 6. Let a be f(-8). Solve -a + 0 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/132*-4 + 26\/22. Let n = -0.6 + 1.6. Is n at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**5\/3 - 64*p**4\/3 - 26*p**3\/3 + 856*p**2\/3 - 256*p = 0.\nAnswer: -4, 0, 1, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zknzknzzznkn. What is prob of picking 2 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-2) - 2\/4. Let j be (-2)\/10 - 51\/p. Solve -4*b = h - 8, 4*b = -5*h - j + 34 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 9210?\nAnswer: -9208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 616961 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1427\/355 - 17\/142. Let d = -884\/9 - -1741\/18. Find the common denominator of o and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6781*m - 6668*m + 5198 = 0 for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 2076926.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 17*h**2 - 9*h + 14. What is the hundreds digit of z(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 663 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9275, 18541, 27805, 37067, 46327, 55585, 64841?\nAnswer: 74095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1470 is divided by 343?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 70*t**3 - 60*t**2 + 60*t. Let g(u) = -u**3 + u**2 - u. Give 60*g(j) + z(j).\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 45 and 70.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2122555591 to the nearest integer?\nAnswer: 46071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -194*k*y**3 + 2*k + 146*y**3 - 3214*y**2 wrt y.\nAnswer: -1164*k + 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 985 and 0.125212.\nAnswer: 123.33382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h + 57*h - 7 + 7.\nAnswer: 47*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/21, -23, -12, 1\/3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*u + 56. Suppose 0 = -2*q + 6. What is the smallest common multiple of q and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 105502, 105659, 105816, 105973?\n\"Answer: 157*l + 105345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 150545012 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8652 and 511164?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujupuujkjjjuuu. What is prob of picking 1 p and 1 u?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1201349 divided by 116\nAnswer: 1201349\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (459\/(-12))\/((-9)\/48). Suppose -o = t - 3*t. Suppose -t = -5*w + 48. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55942082387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*i - 1503 = -218, -3*u + 5*i + 740 = 0. Let n = u - -116. Let y = -258 + n. Is y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2, -33, -98, -209, -378, -617, -938, -1353?\n\"Answer: -2*p**3 - 5*p**2 - 2*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - (3 + 1)) - -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 13*z - 31515. What is the third derivative of -v**2 - v**4 + 2*v**2 + z*v - 2076*v + 7*v**3 wrt v?\nAnswer: -24*v + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 3*v + 0*v)*(-13 - 3 - 14) + (-v + 1 - 1)*(3 - 4 + 3)*(1 - 2 + 3).\nAnswer: 56*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -4*n + 159. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -543.23872 to the nearest ten.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -7 (c) -2\/10887\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -19*i**7\/42 + i**6\/3 - 83*i**3\/6 - 295*i. Find the second derivative of s(b) wrt b.\nAnswer: -380*b**3 + 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 + -57. What is the closest to -5 in 0.3, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -2245?\nAnswer: -2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.73 - 34.73. Let v = -0.1047 - -36.1047. Let n = h + v. What is the second biggest value in 0.1, n, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -23. Suppose 4*k - 2*h - s = 0, k + 2*h + 10 = -0*k. Solve -3*t + 7*t - 20 = k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 281, -2 in descending order.\nAnswer: 281, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -30?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1792835 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0*t*t**17)**(-17\/4))**(1\/14) assuming t is positive.\nAnswer: t**(-153\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1870.91 + -1919. Let h = o + 48. Which is the closest to 0? (a) 0.1 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 1578196?\nAnswer: 4734588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from reeeeeeepee. Give prob of sequence eep.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -3101 (c) -7 (d) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 at least as big as -246\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r**3 + 2*r**2 + 2*r - 3. Let f be n(-3). Suppose 0 = t - 7*t + f. Calculate the highest common divisor of t and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-2)*(-2)\/27*(-237)\/(-158)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406862190 divided by 3?\nAnswer: 135620730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 629 + 462d?\nAnswer: 4c58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 j, and 1 k when four letters picked without replacement from jwwwldjkwkk.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**4 - 10*b**2 + b - 3*b**4 + 11*b**2 - b**3 to v*b**2 + m + o*b**3 + r*b**4 + s*b and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 122663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 11*q**2 - 10*q + 3. Let h be x(10). Suppose -50 = h*i - 8*i. Suppose 0 = -l + i + 39. What is the common denominator of l and -21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3 - 534*s**2 - 59673*s - 59136 = 0.\nAnswer: -77, -1, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.06 + -1.14. Let y = s - -19.2. Are y and -4\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70331995 minus 0.5?\nAnswer: -70331995.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -78*i - 544. Give x(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 63\/4. Is 12 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2833, -5665, -8495, -11323, -14149?\n\"Answer: c**2 - 2835*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 28*p - 54. Give a(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831 (base 9) in base 5?\nAnswer: 21110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5650 + -3669. Suppose -309 = -5*o + t. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 583655475?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/134717 and -43\/302203.\nAnswer: 11181511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 8\/3 (b) 1.1 (c) -4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 n when four letters picked without replacement from vonggvvgop.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 4. Let d be p(-2). Is -4 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*j + 3*j. Suppose -3*k + 4 = m, -k + 23 = -2*m - 2*m. What is the remainder when j is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 0*p**2 + 3*p**2)*(-5*p + 2*p + p) + p - p + 3*p**3 + 0*p**3 - 3*p**3 + p**3 + (2 - 2 + 3)*(3*p**3 - 2*p**3 + 2*p**3).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91333 and 1771?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*w = -w + 32 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 - 168*s**3 - 716*s**2 + 888*s.\nAnswer: -4*s*(s - 1)*(s + 6)*(s + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 23 = 2*k, k + 3*k - 2*d - 38 = 0. What is the greatest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + f + 1. Suppose 4*c + n + n = 12, -4*n + 12 = 2*c. Suppose -c*j + 4*j = -4. Let w = 1 + j. Let y(b) = -7*b**2 - 4*b - 6. Give w*y(m) - 6*q(m).\nAnswer: m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 6:56 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/((-70)\/21))\/((-1)\/(-12)). Let l = c - 14. Suppose 5*o + l*n = 980, 137 = o - n - 68. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, s: 3, v: 2}. Give prob of sequence hvss.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 12, -4\/3, 0 in decreasing order.\nAnswer: 12, 0, -4\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4715, -9421, -14129, -18839?\nAnswer: -23551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4 + 14*v**2 + 19*v**2 - 10*v**2 - 3*v + 18*v**2. Let o be a(3). Let q = o + -213. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -92, -143, -234, -371, -560, -807, -1118?\n\"Answer: -i**3 - 14*i**2 - 2*i - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 2678*s - 5352.\nAnswer: -(s + 2)*(s + 2676)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 595 + -596. Which is the nearest to g? (a) -2\/7 (b) 0 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4088797?\nAnswer: 29, 277, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - u**2 + 5*u**2 - u**2 + (0*u - 2*u + 3*u)*(-2*u + 4*u + 0*u) as r + q*u + x*u**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-79)*1808\/(-6328)?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-180))\/(736\/6624).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113 + -109. Let i(b) = b**3 - 3*b**2 - 3*b + 3. Determine i(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**2 + 30*r - 6. Let y(m) = 2*m**2 + 10*m - 2. Let l(k) = 3*u(k) - 8*y(k). Let h be l(10). Which is the closest to 0.1? (a) -4\/7 (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 5*v. Let a be i(-4). Find the second derivative of 18*s**a - s - 3*s**5 - 18*s**4 wrt s.\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -67*p**3 - 3*p**2 + 3*p + 23. Let x(j) = -25*j**3 - j**2 + j + 8. Determine 8*x(d) - 3*y(d).\nAnswer: d**3 + d**2 - d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, v: 2, y: 13}. What is prob of picking 2 v?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18.09156 litres?\nAnswer: 18091.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 22002021102?\nAnswer: -22002021112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 793427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 5, -214\/203, 0.1, -3?\nAnswer: -214\/203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**5 + 3*t**4 - 5*t**3 + t**2. Let b(q) = -2*q**5 - 2*q**4 + q**3 + q. Let n(r) = 2*b(r) + s(r). What is x in n(x) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -777 + 1626. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2746\/1828 - 21\/14. Suppose 43 = 23*i + 102 - 36. Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -68\/478617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 544 and 16048?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**4 - 4 - 5*p**3 + p**2 + 2*p**3 + p**3 - 6*p**4 as y + m*p**4 + z*p + b*p**3 + a*p**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/9*1 + 112. Let z = -110 + g. Let -3*v**3 + v**2 - z + 8\/3*v = 0. Calculate v.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + n + n - 18403.\nAnswer: 3*n - 18403","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -133\/3. Let a = 51 - 155\/3. Which is greater: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62238 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*r + 2*d - 21, 4*r - 18 = 2*d. Suppose -6*t + 4*t = -r. Suppose 24 = 3*m - 24. Solve 0 = -l - t*l - m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/6075 and 17\/16200?\nAnswer: 48600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 259720 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 383.68 + -383.72. Let i = -3.06 + 3. Let q = i + t. Sort 0.2, -8, q in increasing order.\nAnswer: -8, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18544 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 4*h - 18. Let u = -6 - h. Suppose 0 = -4*n + x + 9, 91*x - 4 = -4*n + 87*x. Put -5, n, u in descending order.\nAnswer: n, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/6)\/(((-27251)\/357)\/229))\/(54\/8).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124.69 + 123. Let f = 0.69 + g. What is the nearest to -1\/2 in -0.3, f, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 5*q - 1. Let s = 85 - 82. Let a be h(s). Suppose -40 = -a*t - 10. Sort 3, t, -4.\nAnswer: -4, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4181 + 4198. Suppose 5*x - 21 = -2*a + 390, -66 = -x + 5*a. What is the remainder when x is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*q = 2011 - 107 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 14. Let z be k(14). Suppose j - 2*j + 6 = z. Suppose 9*g - j*g = 63. What is the highest common factor of 168 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (3 - (2 - 1) - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/1170 and -73\/3900?\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*p = 2*p + 2754. Calculate the highest common divisor of p and 1377.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 9*h**2 + 7*h + 14. Let j be -1 + 0 + (-10)\/2. Let u be s(j). Suppose 0*a + 5*a = u. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 1 + (22 - (-27 + 48))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 87*g - 2613. What is c(37)?\nAnswer: 1975","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2441 + 2443. Which is the fourth biggest value? (a) -0.4 (b) 17\/3 (c) z (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-14) - (-40)\/(-22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2961 - 2963.4. Sort -21, i, -2, -0.2 in ascending order.\nAnswer: -21, i, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186567720 + -11054?\nAnswer: 186556666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.36 - -1. Let g = -683.708 + 684.0679883. Let w = g + v. Round w to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6 = 2*r, 2*p + 10 = 5*r - 2*r. Let t(m) = -5 - r + 3 + 3*m. Determine t(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12f959 (base 16) to base 10\nAnswer: -1243481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25888 and 1639034?\nAnswer: 1618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - -94.9. Let m = 150 - l. Which is the nearest to 0.16? (a) m (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44 + 9.2.\nAnswer: 53.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/2 + 489*b**2\/2 + 495*b.\nAnswer: -3*b*(b - 165)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/30 + 475\/3. Suppose -b*i = -150*i - 192. Solve -12 = 2*q + y, -2*q - 2*y + 8 = i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(-6\/13)\/((h\/(h*h**(-2\/3)))\/h)**(-6) assuming h is positive.\nAnswer: h**(-32\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + r**2 + (0*r + 0*r - 2*r)*(5*r + 0*r + r) - 5*r**2 + 2 - 2.\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 529336 - -435948\nAnswer: 965284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23673\/14204 + 1\/42612. Determine d so that -35\/3*d + 50\/3 + c*d**2 = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l = 7*l. Factor -1\/2*q + l - 1\/2*q**3 - q**2.\nAnswer: -q*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -52, -5, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88.3*-1.\nAnswer: -88.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 9*o**2 - 2*o + 8. Let n be u(-9). Let h be -1 + 3 + n + -2. Let q = h + -16. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -17*d**2 - 13067*d - 73240. Give u(-763).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105 + 51. Let h = -660.98 - -714.942. Let j = h + n. What is j rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 0.2 (c) 0.1461 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q + 3 = -3*j, 4*q - 9 = 5*j. Let m = j - -5. Let n = -66 + 68. Solve m*h = -n*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 g when four letters picked without replacement from {g: 5, l: 7}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*d = 3*d + 10, -b - 4 = d. Let t(c) = 4 + 13*c**2 + b + 2*c - 4. Is t(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-60)*435\/(-4640)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.39 and -47.4.\nAnswer: -47.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -20. Let h = u - 32.4. What is h rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 865902759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5689 is divided by 78.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65543 - 19212. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -605972709\/8 or -75746590?\nAnswer: -605972709\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34124567.\nAnswer: 101, 337867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 990262?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*z**2 + 8 - 12*z**2 - 2.\nAnswer: 315*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Let m be ((-351)\/6)\/((-36)\/48). Suppose -76*x + 79*x - m = 0. Put w, -4, x in descending order.\nAnswer: x, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 2. Let z be n(-4). Find the second derivative of -4*m**4 + z*m**5 - 2*m + 4*m**4 wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*m = -10, 0*r + m + 10 = 2*r. Suppose -r*u + 165 = -4*c - c, -c = 0. Put -4, u, -5 in decreasing order.\nAnswer: u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8450514.\nAnswer: 2, 3, 156491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 8*r**2 + 7*r - 4. Let u be x(-9). What is the highest common factor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/20 - 3528\/(-35).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390279 - 18*r + 29*r + 195146 + 195133 - 18*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 17*z + 71. Let v be j(-6). Suppose 0*a + k = -3*a - 7, -2*k = 3*a + 2. Let w(q) = 2*q - 1. Let t(s) = 3*s - 1. Determine a*t(x) + v*w(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 478 - 478.05. Which is the smallest value? (a) -0.3 (b) w (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + c - 3*c = 10, 0 = 3*x + 2*c - 10. Let b be (-12)\/(-4) - (-4)\/(-2). List the prime factors of b\/2*(x + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (1 + 8 - -1 - 10)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 166 + -220.6. Let h = -181.2 + j. Round h to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, b: 4}. What is prob of picking 2 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204191 and 130.\nAnswer: 2041910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -14.4?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3281, 3278, 3275, 3272, 3269?\nAnswer: 3266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0*j**3 + 0 + 107\/60*j**5 + 51*j**2 - 1\/24*j**4 - 11\/12*j**6 + 0*j. What is the third derivative of h(v) wrt v?\nAnswer: -660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173789948 a multiple of 1427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 12388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001132 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j**2*v*x**2 - j**2*v*x - j**2*v + 11*v*x**2 + x**2 + 109*x wrt x.\nAnswer: -8*j**2*v + 22*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*j**3 - 27 + 10*j**3 + 22 in the form x*j**2 + h + m*j**3 + a*j and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**5\/10 - v**4\/2 + v**3 + v**2 - 47*v. Let r(l) = 2*l**3 - 5*l**2 + 5*l + 1. Calculate -5*g(n) + 6*r(n).\nAnswer: 2*n**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4)*n*n**(-9)\/n*(n*n**(1\/2)*n*n)**5)**(-14) assuming n is positive.\nAnswer: n**(-245\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*k - 46*k + 152*k = 44*k - 315 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 7*y + 28. Let j(i) = i**2 - 5*i - 18. Suppose 4*k = 2*s - 32 - 6, 2*k = -10. Calculate the lowest common multiple of j(s) and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -560, -1628, -3228, -5360, -8024?\nAnswer: -11220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 2. Suppose 3*t = -2*g + 118, -5*t - g + 113 = -2*t. Suppose 64 + t = c*i. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3*q + 4)*(5 - 4 + 0) + 6*q + 9*q - 17*q + 3.\nAnswer: -5*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635 a factor of 86913343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -262\/13 - -868\/39. Calculate the common denominator of 70\/27 and j.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 2:51 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 16. Suppose -5*s + 40 = -0*s. What is k(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14447524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104215 by 20843.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3 + (3 - 5 + 4)*(485 - 154 - 160) + 0 + 1 - 3)*(k - 2*k + 2*k + (2*k + k - k)*(3 - 1 + 0) + 0*k + 0*k - k).\nAnswer: 1368*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1413 and 38622?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 791528.2mm?\nAnswer: 791528200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506841999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, 5, 10256, 2 in decreasing order.\nAnswer: 10256, 5, 2, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of x**2 - 310*x - 2567?\nAnswer: 2*x - 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2\/3 + 485099*z\/3 + 2102152 = 0. What is z?\nAnswer: -13, 485112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(1 - (-18)\/(-16))*232\/290.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 5*d + 2*d)*(25108 + 4*d**4 - 25108 + 1488*d**3).\nAnswer: -8*d**5 - 2976*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 23*k**2 - 22*k. Let q be n(-22). Suppose 0 = -q*o + o - 2, 0 = -y - o + 16. Calculate the greatest common factor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooo. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -551*s**3 + 3*s + 5. Let l(u) = -2202*u**3 + 11*u + 18. What is -22*d(b) + 6*l(b)?\nAnswer: -1090*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 3*l**2 + 2*l - 2. Let r be c(-3). Let h(y) = y**2 + 6*y - 5. Is h(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 40. Suppose 5*p = l - 0. Let j be 6 + ((-9)\/p)\/3. Solve -3*q + 2*q - j = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 35\/(-20) + (-261)\/(-12). Suppose a + 2*f = -1, a = v*f - 23*f - 3. Solve 2*s = s - 1, a*p + 5*s + 20 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32608304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4653221 to the power of 1\/2, to the nearest integer?\nAnswer: 2157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(76) - sqrt(57)\/(sqrt(3)*-2) - (sqrt(475) - (-3 + sqrt(475) + 0 - sqrt(475))).\nAnswer: -33*sqrt(19)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -160 + 162. Solve -x - 3 = -p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2219258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 10:53 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 9 - (4 + -1). Solve y - 22 = -5*j + 2*p, 6 = 2*j + p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14482, -28772, -43062, -57352?\n\"Answer: -14290*c - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - (-76 + -36 + 78)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 17*u**3 - 2*u + 3. Let p(l) = l. What is -g(o) - 2*p(o)?\nAnswer: -17*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.5*541.\nAnswer: -7303.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4\/w*w*w\/w**(-2\/21))**(-14\/9)*(w*w\/w**0)\/w**(-7)*(w**1)**(-2\/49) assuming w is positive.\nAnswer: w**(1367\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 546*h**4 - 84*h**3 + 31*h**2 + 318288*h?\nAnswer: 6552*h**2 - 504*h + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-50 + 6 - 25)*(1 - 3 + 0) - 2 - 1 + 0)*(-4*p**3 + 4*p**3 + 2*p**3) to y*p + u*p**2 + s + b*p**3 and give b.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*y - 3670 = 0, 2*y - 7352 = -4*n - 0*y. Suppose -3*z + 4*a + 1381 = 0, n = 4*z - 4*a + 3*a. Suppose -x = -104 - z. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.009 + 10.1658.\nAnswer: 10.1748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.1844\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3374 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and (7\/(3 + -2))\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*z**3 - g**2*z**2 + 3*g**2*z - 298*g**2 - 8097*g*z**3 - 5*z**3 wrt g?\nAnswer: -2*z**3 - 2*z**2 + 6*z - 596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/(-12)*60\/2560*16)\/((-2)\/(-52))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -9, -35, -61, -81, -89?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -19. Let m = -3260 - -3247. Does x = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 25*x**2 - 56*x - 228. Is 4 a factor of m(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccvcr. Give prob of picking 4 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9288 and 540252.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1854 and 2974743.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42\/(-15) + (-1)\/5. Let j be -1*(-6)\/g + 10. Let y = j + 1. Solve -z + y = -4*q - 2*z, -2*z + 6 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/77 - 169\/385. Let l = -3509\/364 + 115\/52. Let m = 8 + l. Which is the closest to f? (a) 5 (b) m (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65543211 is divided by 269.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001569 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-8)*(58 - (15 + -10)) and (-8)\/(-6)*(-109)\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10352\/75 + -138. Suppose -2*h - 6 = -2*t, 5*h = 2*t + 343 - 352. Which is greater: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -306*g + 3511. Calculate f(11).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/3 + 2\/(-2). Suppose q*u = u + 240. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 40.1. Let i = -386\/5 - -77. Which is the nearest to -0.1? (a) i (b) x (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27 + 0.13. Let s = 29.26 - 29.8. Let c = p - s. Sort -0.2, -0.4, c in increasing order.\nAnswer: -0.4, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/2147615 and -37\/5?\nAnswer: 2147615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 11777427.\nAnswer: 1\/3925809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -321\/7, 8, 2\/71, -3\/5, 22 in descending order.\nAnswer: 22, 8, 2\/71, -3\/5, -321\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26670 or -179?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -205*x**2 + 205*x**2 - 14*x**3 + 1 to d + l*x**3 + f*x + r*x**2 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -11*1 - (-1 - -1). Let a(w) = -2*w + 11. Suppose 8*k = 7*k + 6. Let c(n) = -9*n - 3*n - k + 13*n. What is t*c(l) - 6*a(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2614 + 11365. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**7*a)**33\/(a**(7\/4)\/a**(4\/17)) assuming a is positive.\nAnswer: a**(22337\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 27. What is the smallest value in w, -2\/7, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3715855 + 1229480. Let t = s - -2486426.99917. Let r = -52 + t. What is r rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 20114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.64 - 0.34. Let l = -386\/629 + 14\/37. Let v = l + 18\/221. Which is the nearest to 0? (a) v (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10239 - -10189. Let p = 8 + -6. Which is smaller: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 5 + (0 - (-4 + 4)). Let q(u) = -41*u**3 + 5 + 7*u + 11 - 2. Let m be q(d). Round m to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/9 + 12\/(-14). Which is the fourth biggest value? (a) -5 (b) -0.3 (c) -3 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 0 + -4 + 49 + -6. Let h = r - 26. Let q(a) = a**3 + 6*a**2 + 2*a + 6. Calculate the remainder when q(-5) is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 4 (b) -2\/19 (c) -0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**22\/(u*u*u**(2\/29)) assuming u is positive.\nAnswer: u**(578\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**3*i*o**2 - 3*a**3*i*o + a**3*i + 176*a**3*o**2 - 762*a**3*o - 25*a**2*o**2 + 2*a*o wrt o?\nAnswer: -6*a**3*i + 352*a**3 - 50*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 11:08 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10000010111100 (base 2) to base 11\nAnswer: 6329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (42*g - 220*g - 170*g)*(0*g**2 - 2 + 32*g + 5*g**2 - 31*g) + (3*g + 2*g - 2*g)*(-3*g**2 - 2 + 2) as p*g**3 + b + s*g**2 + k*g and give s.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 37 + 31. Let t be 3\/12 + j\/4. Let v = t - -8. Is 2 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((49\/2)\/7)\/((-161)\/(-690)*3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, w: 2, a: 1, m: 3}. What is prob of sequence aw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318120 + 4.7572.\nAnswer: 318124.7572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((-1*sqrt(18))\/sqrt(2))\/(sqrt(192) + -2*sqrt(192)))**2 + (sqrt(75)*1*-5*-5)**2.\nAnswer: 3000195\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (4 - (-2 + 5)) + -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 74 = 26. Let s(w) = -18*w + 47*w - j*w. Let p(l) = -3*l**2. What is s(p(k))?\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5187 divided by -2.\nAnswer: 5187\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1473*d**2 + 1384*d - 6. Let k(l) = -1476*l**2 + 1378*l - 7. Let z(t) = 7*h(t) - 6*k(t). Find the second derivative of z(v) wrt v.\nAnswer: -2910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 6*k - 5. Let a be i(-5). Suppose 3*s - 16555 = 2*u + 5032, a = 2*s - 2*u - 14392. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 2*l**2 + l**2)*(0 + 2*l + 0) - 287*l + 287*l + 36*l**3.\nAnswer: 38*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 582130 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/943480 and 9\/943480?\nAnswer: 943480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/21 + 4\/(-14))\/(-5). Factor -4\/7*r**2 + 0 + c*r - 2\/7*r**3.\nAnswer: -2*r**2*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 4. Let j = -16 + 13. What is u(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98298 and 41022?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 15. Let h be (3\/(-2))\/(15\/(-130)). Let k be u(h). Find the third derivative of -7*s**4 - s**2 - s**k + 6*s**2 - 2*s**2 wrt s.\nAnswer: -168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1844 divide 6166935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 118*r**3 + 2*r**2 + 22*r - 11. Let y(h) = -60*h**3 - h**2 - 12*h + 6. Give 6*v(q) + 11*y(q).\nAnswer: 48*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, h: 1, v: 7, x: 2}. What is prob of sequence vv?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 + 50*l + 13. Let q(g) = 3*g**3 - 103*g - 26. Give -3*q(b) - 5*v(b).\nAnswer: b**3 + 59*b + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.3*-5.\nAnswer: 121.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t**4 - 7980*t**3 - 15993*t**2 - 10002*t - 2001 = 0. Calculate t.\nAnswer: -1, -1\/2, 667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 47850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/495 - (-4)\/18?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2568)\/1391*312\/(-16).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016 times -216?\nAnswer: -435456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)*2)\/(-1*sqrt(108) - sqrt(108))*-6 - (sqrt(10) - (sqrt(90)\/sqrt(3))\/sqrt(3))\/(sqrt(800) - sqrt(2)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -931?\nAnswer: 92a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15970 - 16024. Let c(o) = -o**3 - 53*o**2 + 58*o + 206. What is c(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.062934 to 3 decimal places.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -23 times 820\nAnswer: -18860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + -0.3. Let f = b + 0.7. Which is greater: f or -1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1626.2 + -1626. Let b = 1.96 + -1.7. Let w = -2\/3 - -1\/3. Put 0, w, b, a in descending order.\nAnswer: b, a, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -1 (c) 0.06 (d) -2\/9 (e) 102 (f) 0.087\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 159120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09215 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(0*z + 3*z - 2*z)*(0 - 4 + 1 + (1 + 0 - 2)*(-2 + 0 - 1) + 0 + 3 - 1).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7479 + 4*c + 3*c - 4*c.\nAnswer: 3*c + 7479","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12*t**3 + 2*t**2 + t. Let k be 8\/32 - 5\/4. Is v(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -805 - -621?\nAnswer: -1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 4 (b) 1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2497 = -497*v + 498*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -44.6?\nAnswer: 47.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 8 + o + 35 as q + m*o and give q.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -37401168 divided by 2671512?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3*b + 1200, -4*c - 7*b + 1600 = -6*b. What is the greatest common factor of c and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -239256 + 375587. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2245189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-30))\/((-12)\/(-40))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11749 + 20485. List the prime factors of l.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -12, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2. Let a(k) = 5*k - 5. Let p(c) = 1. Let x(r) = a(r) + 5*p(r). Calculate z(x(w)).\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -5730041\nAnswer: 28650205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 30 = 3*r - 41, 0 = 5*u - 5*r - 80. What is the greatest common factor of u and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 3. Let n be l(3). List the prime factors of -2 + 9 + n\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3099*a*z**2 - 4*a - 13*z**2 + 5*z - 2542316 wrt z?\nAnswer: -6198*a*z - 26*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**2 + 486*r - 484 = 0.\nAnswer: 1, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 11 = -4*u. Suppose 2*o - 21 - 55 = 0. Suppose -2*h + o - 8 = 0. Solve 3*v - h = -2*v - 5*p, 2*v = u*p - 24 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 s, and 1 v when three letters picked without replacement from vssvssj?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122 + 124. Let d = -51 - -56. Suppose d*b - 10*b - 20 = 0. What is the third biggest value in -0.3, -2\/9, f, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58172511 divided by 1\nAnswer: 58172511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16985 and 3950?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 8.9. Let b = d + 0.1. What is the third biggest value in 2\/3, b, 2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -3454122\nAnswer: 3454122.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10711*l**3 - 6*l + 10677*l**3 + 2*l + 4*l.\nAnswer: -34*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 5:51 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -48. Suppose -4*u + 4*f + 1032 = 0, 2*u - 518 = -3*f + 6*f. What is the greatest common divisor of y and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/168*-3*14\/(-20)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 - 47. Calculate the smallest common multiple of 8\/((2 - (1 + 5))\/(-9)) and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66204563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233711973 to the nearest integer?\nAnswer: 15288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18088 is divided by 3000?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25446415, 50892832, 76339249, 101785666?\n\"Answer: 25446417*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r. Let q(z) = -z**2 - 12*z - 13. Let c be q(-10). Let v(u) = -4*u**2 + 0*u**2 + c*u**2. What is v(d(g))?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(567)*-1*-2 + -4*(sqrt(567) + -4*sqrt(567))**2)*-3.\nAnswer: -54*sqrt(7) + 61239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 - 7505*k\/2 - 7507.\nAnswer: (k - 7507)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = -22*m + 84. Solve 82*g = 85*g + m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1026 and 1242?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -51\/202 (c) 14\/3 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 1449?\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -11. Let g(q) = 4*q**2 + 6*q + 13. Is g(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6396\/(-3731))\/((-3)\/28).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -269*m**2 + 42*m - 2. Let l(o) = o**2 - 10*o + 1. What is -4*l(n) - y(n)?\nAnswer: 265*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*i**2 + 1026318 - 357*i**3 + 2*i - 1026318.\nAnswer: -357*i**3 - 57*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 - 6*i - 4. Let c be n(-2). Let a(o) = o**3 + 9*o**2 + 10*o + 23. Let p be a(c). Solve -p*y + 3*y + 12 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/6*6\/(-4). Let n = 5.008 + -0.008. Sort n, -0.5, m.\nAnswer: -0.5, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -91999*x + 10. Suppose 0*o + 40 = -4*o. Let j be f(o). What is j rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -483 + -9?\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, y: 3, s: 5, t: 3, b: 2, w: 1}. What is prob of picking 2 t and 2 b?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 786.9998983 - 787. Round r to six decimal places.\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1661, 3315, 4955, 6575, 8169?\nAnswer: 9731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.45 and -1.1?\nAnswer: 0.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/(-238)*-1*7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z - 2*z)*(5*z**2 - 2*z**2 - z**2 + (-3 - 3 + 4)*(0*z**2 + 2*z**2 + 0*z**2)).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 68423331 to the power of 1\/2, to the nearest integer?\nAnswer: 8272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24871 is divided by 24847?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 70577527 to the power of 1\/2, to the nearest integer?\nAnswer: 8401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2342*s + 4254 wrt s?\nAnswer: -2342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 621 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttjjtttttt. What is prob of picking 1 j and 3 t?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g + 1. Let l(q) = 909*q + 2. Give -l(s) - v(s).\nAnswer: -916*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 5*a - 296. Give c(-21).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**7\/6 - l**4\/12 - 59*l**3\/3 - 55*l. Find the second derivative of r(p) wrt p.\nAnswer: 140*p**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -4 - -8) + 0 + -16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 23 + 1. Let r = 38 - p. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-8 + -2)) + (-4 - 7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20592*b - 951.\nAnswer: -20592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = i - 5*a, i + 7 - 21 = 3*a. Suppose 0 = 3*n + 4*x - i*x + 2, 0 = -4*x - 16. Is 0\/n + 21 + -6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by 25185\nAnswer: 41\/25185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*d**4*j + 15*d**4 + 7*d - 2*j - 4 wrt d?\nAnswer: -336*d**2*j + 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-39)*f)\/(f**(-19)\/f)*f**(1\/48)*f**(12\/11) assuming f is positive.\nAnswer: f**(-8917\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 3*t - 7. Let p be v(3). Let a = -9 + p. Suppose 0 = -a*z + 5*z + 2*d + 2, 3 = -2*z - 3*d. Solve 4*i - 5 + 1 = z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 3, -9\/7, 0, -26, 2?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/v**5*v*v**(-10)\/v*v*((v\/v**(-2\/27))\/v)\/v**(-7) assuming v is positive.\nAnswer: v**(-133\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0342 + 405.0342. Let g = c - 404. Is -83 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1302987*a**2*c - 4*a**2 + a*c + 3*a + 6*c - 4522 wrt a.\nAnswer: 2605974*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152, -651, -1498, -2699, -4260?\nAnswer: -6187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14340369?\nAnswer: 3, 53, 90191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 917394188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = h + 6 + 9, -3*h - 2*m = 10. Which is smaller: 1\/78 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5565325 to the nearest integer?\nAnswer: 2359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 3*d**2 + 5*d - 2. Let j be (-1)\/(0 - (-1)\/(-4)). Let z(u) = -7 + 3*u - 1 + 0. Let t be z(j). Determine b(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + w = -7*c - 7, 11 = 2*c + w for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*(-2 + 1 + sqrt(1331))**2 - (((sqrt(121) - (sqrt(121)*-3 + sqrt(121)))*4)\/(2*sqrt(396)))**2.\nAnswer: -132*sqrt(11) + 7981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 108845 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -0*w + w - 13, 5*y - 4*w + 7 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(2\/1))\/2)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 7 - 3. Solve 3*r - k = -8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42563, 85125, 127687?\nAnswer: 170249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + 57*k = -23*k - 2436 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126517783*c**2*n**2*s**3 - 2*c*n**2*s**3 + 4*c*n**2*s - 18*c*n*s + 55*c*s - 57*n**2 + 10*s**2 wrt c.\nAnswer: -253035566*n**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5\/7 - 2747*n**4\/7 - 16455*n**3\/7 - 24669*n**2\/7.\nAnswer: -n**2*(n + 3)**2*(n + 2741)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 2, -6*v = -3*v + 2*z - 19*z + 4*z + 197 for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 806 = 2*v, 7*i - 4*i - 2*v = 1229. Let h = -298 + i. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + -3 + sqrt(612))**2.\nAnswer: -96*sqrt(17) + 1256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + -1001?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5*w = -29, -5*n + 5 = 6*w - 7*w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (7\/1)\/(-7)*-7) + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t. Let r(p) be the first derivative of 4*p**3\/3 + 2. Determine r(k(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 46*q**2 - 168*q + 94. What is b(42)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7*w = 3*w + 108, 4*p + 98 = 2*w. Let h = -19 - p. Find the second derivative of -13 - h*j**2 + j + 13 + j wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 618379965 and 630.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 163412250 + 4?\nAnswer: 163412254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -18*y**3 + 368*y**2 - 890*y - 26. Let a(i) = -2*i**3 + 41*i**2 - 99*i - 3. Let z(l) = -52*a(l) + 6*v(l). Factor z(o).\nAnswer: -4*o*(o - 16)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*g*j*r + 48*c**2*g*j + c**2*r + 49*c**2 - 2*c*g*j + 89*c*g - c*j*r + 528*c*r wrt c?\nAnswer: 2*g*j*r + 96*g*j + 2*r + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 78 - 14. Let s = -158\/5 + g. Let m = 3\/23 + -59\/276. Sort 0.1, s, m in descending order.\nAnswer: s, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + t**2 - t - 2. Let l(q) = q**2 + 14*q + 3. Let z be l(-14). Calculate i(z).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43775 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 24721947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -13. Suppose -z = -3*t - 4*z - 360, -5*z = -b. Let q = t + 127. Which is smaller: q or 9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129 divided by -1.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(300)\/sqrt(4))**2 - sqrt(6)\/sqrt(32).\nAnswer: 3*sqrt(3)\/4 + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -28685.\nAnswer: -1\/28685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 7:48 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*p**2 - 34*p**2 + 7 + p**3 + 4*p**2 + (2*p + 4*p - 5*p)*(-2*p**2 - 3*p + 3*p).\nAnswer: -p**3 - 4*p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 210*t**2 - 2 + 211*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + 3*o**3 - o**3 + (-2 + 2 - o)*(0*o**2 + 2*o**2 + o**2).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 25 + 7 + 0*g + 55 + 14*g. Let m be r(-7). Suppose -2*x = 2*x + w + 14, -5*x - 21 = 3*w. What is the closest to m in x, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-5) - (-114)\/10. Let j = -7 + c. Find the third derivative of -2*z**j - 2*z**2 - 2*z**6 + 2*z**4 + 0*z**4 wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2 + 998520*x - 83086849200 = 0. What is x?\nAnswer: 166420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.037966\nAnswer: -0.113898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 209036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from {l: 6, y: 13}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8879 = -179*r + 1243 + 6299 + 3269 for r.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -503 - -503. Solve -2*j + 0 + 4 = 5*g, l = -5*g + 4*j - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*t**4 + 41*t**4 - 2*t**3 + 41*t**4 + t**2 - 2*t - 1 + t**2 to s*t**2 + y*t + u*t**4 + x + c*t**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - x**2 + 15*x**2)*(5*x - 31 + 27 + 3*x).\nAnswer: 136*x**3 - 68*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6186008 is divided by 363880?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 213*l*t - 138*l - 36210*t wrt l.\nAnswer: 213*t - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 771379111326.\nAnswer: 771379111329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -615 + 615. Suppose 4 = 3*x + 2*i, -3*i - 2 = -2*x - 4*i. Suppose r = 2*d - x*d - 20. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 20 = 188. Let n = d + 260. Which is bigger: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1257\/2266 + -15\/103. Let x be 7\/21 + (-58)\/(-6). Find the common denominator of (x\/18)\/((-16)\/(-102)) and l.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -14*p + 36. Solve -s + 1 = v - p, v - s + 5 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -303, -609, -935, -1293, -1695, -2153, -2679, -3285?\nAnswer: -3983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -11 + 4 + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (2 + -7 + 2 - -907). Suppose -q = 4*w - 7*w. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6152083 to the power of 1\/2, to the nearest integer?\nAnswer: 2480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**4 - 316428*i**3 - 8344206354*i**2 - 16687463436*i - 8343573507 = 0.\nAnswer: -52737, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1003934, -2007863, -3011792, -4015721, -5019650, -6023579?\n\"Answer: -1003929*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6282*-5\nAnswer: 31410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4\/7 (b) -4\/4685 (c) 0.4 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69541 is divided by 2397?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 34. Suppose d*l = 18*l + 178. Let u = 3 - l. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1715 divided by 34052?\nAnswer: -1715\/34052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 1:18 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31\/84 - 1\/28. Which is the nearest to -2? (a) 0.2 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 96285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 33 - 85)*(-u**3 + 1 - 1).\nAnswer: 101*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14844 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 63*m + 11863. Determine p(-188).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17.8516202 + -79402\nAnswer: -79419.8516202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -899, -653, -423, -215, -35, 111, 217?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -760262.4 rounded to the nearest ten thousand?\nAnswer: -760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 14. Let f = -4.95 - q. Let x = 0.05084 - f. Round x to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 18 + 6 = 2*v, 2*p = 3*v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + 6941*b - 104432. Determine q(15).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 2 + (3 - 3) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = v - 300. Let g = v + 86. Calculate the least common multiple of 3 and g.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90 + 41*r**3 - 47 - 33 - 2*r to z*r**3 + k*r**2 + o*r + l and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-26)\/(t*t\/(t\/t**(10\/7))) assuming t is positive.\nAnswer: t**(-199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y**4\/3 - 1000*y**3\/3 - 1555*y**2 + 10140*y - 7776 = 0. Calculate y.\nAnswer: -8, 12\/13, 3, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 452188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 62592 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 10293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 237 - 31. List the prime factors of g.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1253, 2508, 3763, 5018?\nAnswer: 6273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1*110\/(-110).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73422 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/9 - 76*h**2\/9 - 44*h - 36.\nAnswer: -4*(h + 1)*(h + 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 105 (b) 4 (c) -340 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -38*o - 18. Calculate a(4).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 82*f**2 - 4752*f - 392951. Determine s(-80).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (37 - 62) + 17 + 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1330606578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from {l: 14, c: 4}?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54*0.1.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*l**3 - 5\/2*l**2 + 5\/2 + 1\/2*l.\nAnswer: -(l - 1)*(l + 1)*(l + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308393976 and 1996?\nAnswer: 308393976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2\/7 - 2*l**4 - 4\/7*l + 8\/7*l**5 + 16\/7*l**2 - 4\/7*l**3 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -33 in descending order.\nAnswer: 3, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 292601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 5, v: 15}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -53, -98, -161, -248, -365, -518?\n\"Answer: -r**3 - 26*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302905 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(385))\/sqrt(7) + sqrt(55) + sqrt(2695)*-1)\/(-3*sqrt(55)\/(sqrt(5) - (sqrt(5) - 3*(sqrt(5) - sqrt(20)) - sqrt(5)))).\nAnswer: -16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5255 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 823268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.1. Let f be 6\/21 + (464\/140 - 4). Which is the closest to f? (a) 2\/5 (b) v (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2343 rounded to two decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 374 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -193 + 8*q - 206 + 543 + 7*q - 4*q. Calculate h(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1761\/(-1174)*(-4)\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u + 2. Let k be i(-2). Suppose 0 = a + 5*a - k. Solve -3*o - 5 - a = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25351403 (base 7) to base 6\nAnswer: -121132135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(40)\/((sqrt(800) - sqrt(800)*2) + sqrt(8)))**2.\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -bc53 (base 14) in base 6?\nAnswer: -410545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10214 divided by 55713.\nAnswer: -10214\/55713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*z - 64*z - 255*z - 13*z - 1 - 222*z.\nAnswer: -678*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -392867, -392643, -392035, -390851, -388899?\n\"Answer: 32*q**3 - 392899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38*517\/(-1786)*(3\/(-1))\/((-1)\/1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-390)\/20)\/((-3)\/4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**2\/9 + 4*d\/9 + 32\/3 = 0.\nAnswer: -6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-142)\/10 + 2 - 6\/(-30). Let y be (16\/j)\/(-1 - (-21)\/(-9)). Factor 8\/5 - y*g**3 - 6\/5*g**2 + 0*g.\nAnswer: -2*(g - 1)*(g + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6 = -9. Suppose -v*i + 56 = i. 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: In base 12, what is -5 + -5241?\nAnswer: -5246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 134*j + 1075. Let c be l(-8). Let x(k) = 3*k - 3*k + 5 - 5*k. Let s(p) = -16*p + 14. Let w(g) = c*s(g) - 8*x(g). Give w(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225957 divided by -4?\nAnswer: -225957\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -201.9 and 836.\nAnswer: -168788.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19187185 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4130*n**3 - 6230*n**3 - 900*n**3 + 515*n**3.\nAnswer: -10745*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/6)\/((-1)\/9). Let u = 3153 - 3111. Calculate the highest common divisor of u and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + sqrt(80) + 3)**2 + -1 + (-1*sqrt(245) + -4)**2.\nAnswer: 40*sqrt(5) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 3*r)*(0 - 1 + 2) + (1 + 5 + 0)*(3*r + r - 5*r) + 1258 - 1258 - 1319*r to s*r + l and give s.\nAnswer: -1328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -214 - -214. Let v = 0.21 - -0.09. What is the closest to g in 4, v, 5\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*v + 139 = o, 0 = 2*v + 10. 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: Does 16 divide 7379974846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 6*a - 6*a)*(-4*a + a + a) + 1 + 9*a**2 + 4*a**2 + 4*a**2 to the form u + w*a**2 + o*a and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803000 rounded to the nearest 10000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -19. Solve a = -h*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903335 is divided by 180660?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 296208 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**3 - 9220*b**2 - 9216*b = 0.\nAnswer: -2304, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 58*t**2 + 61*t + 32. Let o(w) = -4*w + 40. Give s(o(a)).\nAnswer: 928*a**2 - 18804*a + 95272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.272673 centuries in decades?\nAnswer: 2.72673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 724 divided by 491?\nAnswer: 724\/491","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:44 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -809, -823, -853, -893, -937, -979, -1013?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 6. Let m be w(10). Suppose -4*d + m = -0. Solve g = -d*g - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 944208968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + v. Let f(j) = -5*j**3 - 5*j**2 - 3*j. Let u(t) = 2*f(t) + 6*l(t). What is the third derivative of u(b) wrt b?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105010 + -0.22\nAnswer: -105010.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1307872 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610*i - 617*i = 0. Suppose v + 8 = -2*t, -3*v - 2*v - t - 13 = i. Let r(x) = 32*x**2 + 9*x + 9. Let u(h) = -8*h**2 - 2*h - 2. Give v*r(a) - 9*u(a).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 0 + (-4)\/(-2). Let m = 1 + -8. Let d be m\/35 + 62\/10. Calculate the highest common divisor of d and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x**2 + 3*x + 3. Let y(i) = i + 8. Let s be -1 + (-8 - (-12)\/3). Let p be y(s). Let u(l) = 34*l**2 - 14*l - 14. Calculate p*u(b) + 14*k(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 6*r - 20. Let p(m) = 45*m + 20. Does 19 divide p(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (1666\/(-70) - 2)*(-3 + -162)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*c - 36*c - 1624 = 0 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u - 97*u - 227 = 151. Which is the nearest to -1\/2? (a) -23 (b) 0.3 (c) u (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 w, and 1 x when four letters picked without replacement from xwppwwpxwxwpw.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 3*o - 4*f = 29, -5*o + 65 = 5*f. Suppose -4*h = -4*d + h + o, 0 = -2*d - h + 15. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149636 > 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34632 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (1 + -1 + -7). Let c be 1 + (7 - i - -10). Solve 2*b = -3*b - c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - j + 40 - 5, j - 14 = -2*l. Solve l*v - 10 - 18 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*f + f + 1490, 0 = 4*f - b - 1491. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -1\/30*y**5 + 0 - 1\/18*y**4 + 0*y - 1\/18*y**3 - 1\/90*y**6 - 1\/630*y**7 - 8*y**2. Factor h(r).\nAnswer: -(r + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 58536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2.5, -1.1, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -5 + 2)*-5. Suppose 0*j - 605 = -w*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 843 + -835. Suppose 0 = u - 5*u + 28. Solve -2 = c*i - u*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 1:15 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 616768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-4))\/(30\/(-8)). Let p = 0 - 6. Let c = p + 11. What is the nearest to a in 0.2, c, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*g - 38, f - 12 = -2*g + 13. What is the greatest common divisor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 3)\/70 + (5640\/560 - 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 23 from 3040.\nAnswer: 3017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.371 and -19.\nAnswer: -18.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -6*k**4 + 195*k**3 - 1800*k**2 + 3375*k = 0.\nAnswer: 0, 5\/2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -0.04 (b) -0.2 (c) 1 (d) -0.01 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -191 + 371. Let u(f) = 3*f**3 - f - 2. Let w be u(2). What is the greatest common divisor of w and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 24*a**2 + 15*a - 3. Let o be p(6). Let d be 3 + -3 - 7\/(-1). Suppose -d*z + o = -1. Is 28 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**4 - 93*x + 26*x + 4 + 6*x - 1 + 2*x**3 as r*x + o*x**2 + k*x**3 + a + s*x**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/(-770) + ((-4)\/10)\/((-3528)\/(-840)) and -151\/180?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jeee when four letters picked without replacement from jejejjjjejee.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 2*d + 0*d + 0 + 0 + d + (2*d + 3 - 3)*(-1 - 1 + 3) + d - d + 2*d - 75 + 758*d - 292*d + 73.\nAnswer: 472*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9497, 9456, 9413, 9368, 9321, 9272, 9221?\n\"Answer: -s**2 - 38*s + 9536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 9 = -f, 0*f - 2*f - g = -33. Let b(a) = -a - 1. Let o be b(-5). Let l = o - -12. What is the smallest common multiple of l and f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i**2 - i - 4. Let l = 3 + -8. Let u(m) = -13*m**2 - 13*m + 7. Let s(o) = -4*o**2 - 5*o + 2. Let a(x) = -8*s(x) + 3*u(x). Give l*a(g) - 6*h(g).\nAnswer: -g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5501564.\nAnswer: 2, 19, 191, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(14) - (sqrt(14) - (sqrt(1694) + sqrt(1694) + sqrt(1694)*-2))) + sqrt(56)\/sqrt(4)*1))\/((3*-2*sqrt(84))\/(sqrt(12)*1*3)).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + l - 4. Is (l\/12)\/(3\/(-6822)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9148424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 - 12*w + 170. Let h be x(-10). Let f(o) = -5*o - 5. Let k be f(-4). Calculate the highest common factor of h and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870914 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 7*y**2 + 2*y - 9. Let p be q(7). Solve -p*s + s = 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41010 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3448957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/187910 and 193\/454080.\nAnswer: 198432960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 27. Calculate the remainder when 117 is divided by q(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 5*j + 33 - 63.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220032 (base 8) to base 9.\nAnswer: 122148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 - (3 + (-2 + 2 - -7)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2238959062 + -379033393. Let b = r + -1859925549.9999939. Let z = 119 - b. Round z to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213179531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v**4\/7 + 1147791*v**3\/7 - 5230687413*v**2 + 179393702187*v = 0.\nAnswer: 0, 103\/3, 63749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1166, 2323, 3480, 4637, 5794?\n\"Answer: 1157*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77821 - -0.1?\nAnswer: 77821.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.216 and -0.2.\nAnswer: -1.4432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a day in minutes?\nAnswer: 14112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 77\/4*s**2 + 0 - 4*s**3 + 1\/4*s**4 - 49\/2*s = 0.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 196717?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1399, 1586, 1849, 2224, 2747, 3454?\n\"Answer: 6*s**3 + 2*s**2 + 139*s + 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pee when three letters picked without replacement from {j: 1, p: 4, b: 6, e: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-26))**(-6\/13) assuming z is positive.\nAnswer: z**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30060 by -1503.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - ((-116)\/(-30) + 0). What is the closest to b in -0.3, 3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*h - 103*h = 43*h + 227*h - 34848 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 0.03, -2, 2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-three quarters of a gram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 18*c**2 - 24*c - 11. Let b be d(-19). What is the highest common divisor of 56 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 21 + 32 + (1 - (0 - 3)) + 18.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-33)*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**3 - 9 - 2*w**4 + 8 + 4*w**3 as c*w + p*w**4 + t*w**3 + g + i*w**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Four letters picked without replacement from tlllgtgxglglxlllolga. Give prob of sequence taxo.\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -5\/9, 3\/5, -0.5, -6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*b - 20 = 0. Suppose -b*l - 4*v - 20 = 0, -v - 7 = 4*l - 2. Let g = -1215 - -1213. What is the closest to l in g, -1\/5, 2\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0.6, -0.05 in descending order.\nAnswer: 11, 0.6, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34.41? (a) -2 (b) -5 (c) 0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 70\/31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30625?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 (base 4) in base 12?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18 from 639.2.\nAnswer: 657.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -7150*x**5 + 345810*x**4 - 6217876*x**3\/11 + 3520348*x**2\/11 - 71190*x + 59486\/11 = 0.\nAnswer: 1\/5, 7\/11, 607\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23355?\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13200*i + 1028863 + 238337 = 0 for i.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.18076 and -1182.\nAnswer: -213.65832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hphdhthhd. What is prob of picking 2 d, 1 h, and 1 t?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(117)*1*-1 - sqrt(117)) + sqrt(117))*-1 - -4*(sqrt(117) + sqrt(117) + sqrt(117) + sqrt(117) + 1 + 3))*3)**2.\nAnswer: 14688*sqrt(13) + 306621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (48\/32)\/(2\/(-88)). Let b = -64 - h. Solve 6 = -b*d - i, -4*d - i = -0*i + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 49660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99155135 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 6*l**2 + 5*l + 6. Give a(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21844423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 572? (a) 4 (b) -1\/2 (c) -0.2 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*a**5*r + 59*a**3*r**3 - a**3 + 8*a**2*r**3 - 27*r**3 wrt a?\nAnswer: -1380*a**2*r + 354*r**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4332 and 798?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 + 159. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 u when three letters picked without replacement from eeefeefeeuffdfeeeeu.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 4\/(-24) - (-5445)\/594?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 5, 13 in ascending order.\nAnswer: 1, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2869 a factor of 287995958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4 + s**2 + 2 - 5*s - 2. Let a(h) = -h**2 + 1. Let k(g) = -6*a(g) - w(g). Find z, given that k(z) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*l = -g + 2, 3*g + l = 16. Solve 2*t + m - g*m = -19, m - 2 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3 = -6*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*t**3 + 23*t**3 + 4*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -10*q**2 + 7*q + 9. Let y be l(-2). Let z = y + 47. Differentiate -18*c**z - 1 - 8 + 3 wrt c.\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 9*h - 10. Let x be s(-5). Let r = -4429\/2950 + -73\/118. Calculate the common denominator of (-14)\/x*(0 - -2) and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 80597868 to the power of 1\/3, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -29) + (-3 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (255 - 7)\/(3\/(-1 + -2)). Let s = -151 - g. Calculate the remainder when s is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 13*a + 254. Determine v(-23).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277270, -277155, -277040?\nAnswer: -276925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) -1.94 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 1\/11, -0.090913, -3 in descending order.\nAnswer: 1\/11, -0.090913, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 30*f + 13. Let v be k(-31). Let g be (-3)\/(-4) - v\/8. Let a(b) = b**3 + 4*b**2 - 4*b + 4. Let c be a(-4). Solve 0 = g*p - 7*p - c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**2*v**4 + 8617*j**2*v**3 + 58*j**2*v**2 + 19*j*v**2 - 9*j - 77*v**3 - 4*v**2 wrt v?\nAnswer: 48*j**2*v + 51702*j**2 - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2901413?\nAnswer: 557, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + 4 - 4)*(7*s - 2*s - 4*s) + 0*s - s**2 + 0*s to t + a*s + i*s**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**4 + 54*v**3 + 219*v**2 + 324*v + 156 = 0.\nAnswer: -13, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/24)\/((-20)\/24*-4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*m - 46006 = 4*m, 0 = -2*m - 10. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 8:00 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-18\/11)*i\/i**(14\/5) assuming i is positive.\nAnswer: i**(-189\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 188322283 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 take away 0.4?\nAnswer: -150.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718452.5us in minutes?\nAnswer: 0.028640875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 6*t + 7*t + 192 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -28*q**2 + 2396*q - 212. What is x(87)?\nAnswer: -3692","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 17 - 0 - -1 - (26 - 5)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-2)*b\/b**(-3\/5)*b**(2\/23)\/b**(-6) assuming b is positive.\nAnswer: b**(769\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/1 - (0 - 1). Let y be 804\/66 - 4\/22. Calculate the greatest common divisor of i and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20*6\/24)\/((-2380)\/(-34))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59726669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9989110 by 1.\nAnswer: 9989110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1314021 + -13?\nAnswer: 1314005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5543 + -5539. Sort d, -132, -3 in increasing order.\nAnswer: -132, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y = 156. Let n be 2\/(-3)*y + -1. Suppose -3*s - n = -8*s. Solve d - 20 = -s*r + 3, -5*d + r + 11 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*o - 104*o - 66*o.\nAnswer: 51*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125181808 to the nearest integer?\nAnswer: 11188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581*n + 580*n + 2 = 0. Suppose -n*p = 4*a - 2586, -a + 482 + 182 = -3*p. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**2. Let x(b) = 32*b - 176. Calculate g(x(v)).\nAnswer: -6144*v**2 + 67584*v - 185856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102.898 - 0.102. Let s = b - -103.00205. What is s rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.35 + -25. Let w = -0.25 + f. What is the third smallest value in w, 2, 0.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 - 1)*(99*t**2 - 4*t + 4*t)*(-10*t**2 + 6*t**2 - 10*t**2).\nAnswer: -5544*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1609, 10, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 - 6*n**2 - 17*n + 6. Let m(i) = -3*i**3 + 13*i**2 + 35*i - 13. Let q(u) = -13*f(u) - 6*m(u). What is the second derivative of q(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 49*j + 246. What is n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3675276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.991 + -0.991. What is the smallest value in c, 1\/2, -1\/27?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25572451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 4*i + 1. Let p be h(-3). Suppose -p*o + t + 18 = 0, -5*o = -0*t - 5*t - 15. What is the remainder when 9 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a24cb (base 13) to base 12.\nAnswer: 8767a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5519?\nAnswer: 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueucvebn. What is prob of picking 1 n and 2 u?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 368819 - 368823. Let s be 29\/28 + (-4)\/14. What is the third smallest value in c, 16, s?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1387 by -19.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(130) - sqrt(130)*-1)*-2)\/(-3*sqrt(1000)*-1).\nAnswer: -2*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 - v**2 + 4*v**2 + 2*v as l*v + f*v**2 + o and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4846, -9727, -14694, -19789, -25054, -30531?\nAnswer: -36262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3433524 divided by 17.\nAnswer: -201972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*v + 4*s + 16, 17*v = 17*v + 4*s + 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5*t - 99 = -74, 4*t = -5*y + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5.4 or -15?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 2. Let d(w) = 4*w - 7. Suppose 24 = 4*v - g, 4*v - 6*g + 9*g = 24. Suppose -p + 98 = v*p. Calculate p*f(o) - 4*d(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*j**4 + 2*j**3 - 320*j**2.\nAnswer: 168*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -1\/4, 114800, -69, 0.2?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 3 - 4297*j + 4289*j + (j - 2 + 2)*(-6 - 2 + 1) + 2*j - 4*j + 0*j.\nAnswer: -17*j + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149048 is divided by 828.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200211101 (base 3) to base 11.\nAnswer: a349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -444, -663?\nAnswer: -882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 1:56 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.54 from 1839.1.\nAnswer: 1840.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*b**4 - 1130*b**3 - 2315*b**2 + 2580*b + 900 = 0. What is b?\nAnswer: -30, -3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.7 + 16.69925. Round j to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7618*y = 21182*y - 1135472 - 1569185 + 1036285 for y.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6*i + 75. Suppose -i = 3*z - f - 61, 0 = -5*z + 5*f + 90. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 - (-6 - 4) - (7 - (-4 - 2))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v - 6. Let f(b) = 11*b + 11. Let c be ((-12)\/(-10))\/(3\/(-10)). Give c*f(k) - 7*o(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 - 584*q + 283. What is the remainder when s(148) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/99*3 + 276\/66. Let a = -89\/120 - -3\/40. What is the smallest value in y, 2\/13, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/14 + 144\/(-14) + 4. Let i(z) = z**2 - 11*z - 14. Let v be i(h). Suppose v = 7*s - 220. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125*f**3 - 4999*f**2 - 1897186*f?\nAnswer: 750*f - 9998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 9:18 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00658 to 4 dps.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**3\/t))**(-31)*t\/(t\/t**(-1))*t*t\/((t*t**(-14)*t)\/t) assuming t is positive.\nAnswer: t**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*f**2 + 510*f**2 - 157*f**2 - 165*f**2.\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + l + 1. Suppose -10 = -3*d - 2*d. Let y be 7*2*d\/14. Give g(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m - 17*m - 5 - 16 + 32 - 3*m**2 + 2*m**2 to the form p*m + z*m**2 + n and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**2)**(-15)*n**(-3\/5)\/(n\/n**(-4\/7)*n))\/(n**(2\/11)*n**5*(n*(n**(-6)*n*n*n)\/n)\/n**4) assuming n is positive.\nAnswer: n**(5254\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 101111?\nAnswer: 110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3\/9 + 2912*l**2\/9 - 5830*l\/9 + 324 = 0. Calculate l.\nAnswer: -1458, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168368 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from bbqnj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79.1 - 73.1. Let v = 0.02 - 0.12. Which is greater: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2. Let m be q(-3). Let y be (-1 + 1)*(-2 - 15\/m). Suppose v + k - 2 = y, -2*v + 5*k = -6 - 19. Solve 5*o + v = -10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 53 = 291. Let n(s) = 118*s - 83*s**2 + 81*s**2 - a*s. Let u(w) = w. What is u(n(t))?\nAnswer: -2*t**2 + 84*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 13. Let x be m(-9). Let h = 6 - x. Suppose 4 = h*v + 2. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87089?\nAnswer: 73, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 758950043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13256 and 728.\nAnswer: 1206296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -100 - -108 - (-1 - (-3 + 6) - -22).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*n = 7105, -3*n = 4*j + 633 - 6344. What are the prime factors of j?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(147) - (-1*sqrt(147) - sqrt(147))) + -5 + sqrt(147) + 1 + -2)**2.\nAnswer: 1428*sqrt(3) + 42519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p**(-10))\/p)\/p**(2\/3)*p*p*p**9*(p**(-1)\/p*p)\/p assuming p is positive.\nAnswer: p**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - s + 24603 = 0, -15*l + 4*s + 6138 = -16*l. Round l to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5752 = -34*f + 13662. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 66 + 95 = -23*s + 118, 0 = -j + s + 23 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/50832 and 53\/7923438.\nAnswer: 63387504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 139579, 139578, 139577, 139576?\n\"Answer: -x + 139580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*c = -6, 4*b + 24 = -2*c + 6*c. Let i(u) be the second derivative of -2*u + 2\/3*u**4 - 1\/6*u**3 + 0*u**2 + 0. What is i(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 31. Let v(r) = -2*r. Calculate v(o(q)).\nAnswer: -2*q + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1005.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25114 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45352, -89429, -133506?\nAnswer: -177583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24312 and 501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 16*h - 93. Let r = h - 25. Which is smaller: r or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10410?\nAnswer: 2, 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l - 792. Let y be p(0). Let h = y + 1943. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -340, -5, -2\/11 in decreasing order.\nAnswer: -2\/11, -5, -340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3432, -3431, -3430, -3429?\n\"Answer: f - 3433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -322 + 414. Let m be d\/230 + 12\/(-55). Factor -2\/11*r**5 + 0 + 0*r + 0*r**3 + m*r**4 + 0*r**2.\nAnswer: -2*r**4*(r - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.75 take away 0.2?\nAnswer: -99.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.1 + 1.1. Let i = -6 + 8. Let u = -2 + i. Which is the nearest to 0.1? (a) u (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = 4*s - 11*g - 40, s - 12 = -3*g. Suppose 21*k = s*k + 36. Suppose -3*q - 1 + 10 = 0. Calculate the remainder when k is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1488 = s. Suppose -3*b + 10 = -y, -3*y + 0*b + 3*b - 6 = 0. Suppose s = y*p + 4*p. List the prime factors of p.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**3 + 5*d**2. Let o(q) = -12*q**3 + 9*q**2 - q + 1. Let f(h) = 5*l(h) - 2*o(h). Calculate the remainder when 15 is divided by f(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.38 + -0.9046. Let f = 15.7 - 17. Let p = f - k. What is p rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((36\/(-345))\/6*495\/99).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 26527380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12212, -24424, -36646, -48884, -61144, -73432, -85754, -98116?\n\"Answer: -i**3 + i**2 - 12208*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 509 - 292. Does 31 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293562 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 601*a - 4369. Give p(9).\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s + 28. Give l(-9).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 294 = -3*z. Let f = z + 144. What is the remainder when f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 39*d**2 - 37*d**2 - 4*d + 4*d. Let v(x) = -24*x**2 + 4231*x - 4231*x - 1. Calculate g(v(r)).\nAnswer: 1152*r**4 + 96*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from mmxxxhmxhm?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517 is divided by 485?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 12*w**2 - 28. Calculate l(12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -0*x + 13*x. Solve -4 = -x*t - 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 f when three letters picked without replacement from xzffkyx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.692 - 39.76. Let f = 0.068 + h. Which is the nearest to 3? (a) f (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10*r + 7. Let f(i) = -i. What is f(d(h))?\nAnswer: 10*h - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103.866 litres to millilitres.\nAnswer: 103866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {o: 5, j: 3, f: 1, a: 5, d: 1, g: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1107, -2212, -3305, -4380, -5431, -6452, -7437, -8380?\n\"Answer: i**3 - 1112*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 44*l + 3637. Let p(v) = -v + 144. Calculate the remainder when p(0) is divided by x(-42).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3756488, -7512978, -11269470, -15025964, -18782460?\nAnswer: -22538958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 120.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -9. Suppose 80 = 5*g + 2*z, 2*z - 26 = 4*g - 6*g. Calculate the remainder when (-1 - h) + 216\/3 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*z**2 - 12854 - 3*z**3 + 12854.\nAnswer: -3*z**3 + 23*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-18)*-2*9*(-6)\/9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6889 and 664.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isnvixe. Give prob of picking 1 x, 1 e, 1 i, and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 times 302812.7?\nAnswer: 11809695.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 1497\/282215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72258555 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1.2 (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 47*a - 38*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*r + 1323 + 311 = -3098 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**7\/1050 + o**6\/600 + o**5\/150 + 10*o**2. Factor v(u).\nAnswer: -u**2*(u - 2)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (525\/(-14) - -38)\/((-27)\/6).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 + -62. Let i = -3 + q. Calculate the highest common factor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 46*t**2 - 42*t - 127. Let o = -13 - -41. What is the remainder when o is divided by d(45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 - 4346399 + 4346399.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1342)\/(-14) - 45\/(-315). What is the units digit of (8 - t\/8) + 919?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z. Let q(n) = 8*n. Let g(i) = -5*q(i) - 6*u(i). Let w(t) = -2*t**2. Determine g(w(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29\/69 - 677\/2760. Is t >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(315\/24))\/(330\/231)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -12*u**2 - 15*u + 4. Let g(z) = -8*z**2 - 10*z + 3. Determine -7*g(t) + 5*s(t).\nAnswer: -4*t**2 - 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 7:12 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2333*r**2 - 295*r**2 + 733*r**2 + 4 + 61*r**2 in the form i*r**2 + m*r + p and give i.\nAnswer: 2832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*l - 54*l + 27*l + 3*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-46)\/(-69))\/(8\/6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/5 + 2 - (-7)\/35. Solve -2*g - 8 = -p*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t**3 + 50*t - 11*t**4 - 45*t**2 - 28*t**5 + 19*t**5 + 10*t**5 - 32*t = 0.\nAnswer: 0, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-3) - (7 - (-115)\/(-15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 3. Let q(s) = -2*s**3 + 8*s - 10. Let t be q(3). Let m be (60\/t)\/(2\/4) + 9. Give o(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 4*h**2 + 9*h - 43. Let s be r(4). Put 19, 3, s in descending order.\nAnswer: 19, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 1862.5473.\nAnswer: 1862.5473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 3 + 0*m**2 + 5\/3*m**3 - 2*m. Does 18 divide h(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*o**6 - 14*o**4 - 35*o**2 - 5*o?\nAnswer: 2040*o**3 - 336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -11 + (-1 - -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**3\/3 - 2*b**2 - b. Let t be m(-6). Suppose 2*z - t = z. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*i - 32 + 18, 5*i = -20. Sort q, -3, -165, -5.\nAnswer: -165, -5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, w: 9, f: 1, t: 4, g: 1}. Give prob of picking 1 w and 1 f.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54.8, 37, -3 in ascending order.\nAnswer: -54.8, -3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45092b - -1?\nAnswer: -45092a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 78. Calculate the highest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 11:14 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 4125\/(-250)*3\/(9\/(-22))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.6542*-0.2\nAnswer: 4.33084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - 0. Let m = -1.9 + 1.7. Let i = 331 - 330. Which is the closest to i? (a) m (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + j**2 - 40*j + 77. Let f be b(2). What is the highest common divisor of f and 1767?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -750*t**3 - t**2 + t + 13. Let m be x(-3). Calculate the remainder when m\/35 - (-8)\/20 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1331881 is divided by 68?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2766 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 422935?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 438794\/55 or 7978?\nAnswer: 7978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12921?\nAnswer: 3, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from {l: 7, j: 2, t: 3, z: 1, u: 4}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13\/(-234))\/(1\/3). Let y be (-4)\/(-2) - 8\/3. What is the closest to 3 in y, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -445 + 444.6. Put -5, z, 11.7 in increasing order.\nAnswer: -5, z, 11.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11883, -23731, -35601, -47505, -59455?\n\"Answer: -2*l**3 + l**2 - 11837*l - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l + 55 + 355 + 489 to t*l + y and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59958, -59962, -59970, -59982, -59998, -60018, -60042?\nAnswer: -60070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/((-2 - -1)\/(-3)). Suppose -p - 22 = -22. Solve p*k = -5*k + n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 472 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166 + -168. What is the nearest to 3 in n, -2\/21, -0.5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -26, -3, -0.5.\nAnswer: -26, -3, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2648 times -99.5\nAnswer: 263476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-6)*(-4)\/15?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/4 and 0.01572 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 331061 and -787.\nAnswer: 330274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -14. Suppose 0*s - r*s + 12 = 0. Differentiate -u**s - u**2 + 128 + u**2 - 131 with respect to u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -434041 (base 7) to base 16\nAnswer: -12838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 5*r - 26, -3*r = -4*r + 4*w + 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 5*h + 2*f + 8, 5*h - 5*f = 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {e: 7, j: 2, b: 4, h: 3, a: 1, v: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 95755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 n when two letters picked without replacement from nxnnnnnnnnnnnnnnnxnx.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 12 (b) -26 (c) 4 (d) 2 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*i**2 + 2*i**4 - 3 + 22*i**2 + 5*i**4 + 0*i**4 - 3*i**4 + 4*i**4 + 2*i**4 - 2*i**4 + (i**4 + 4*i**4 - 3*i**4)*(1 + 2 - 4) + 3*i**3 - i**4 - 3*i**3.\nAnswer: 5*i**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -60*x + 2. Let f be a(1). Let w = f + 60. Suppose -340 = -w*q - 3*q. What is the remainder when q is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24159369, -24159377, -24159391, -24159411, -24159437, -24159469?\n\"Answer: -3*i**2 + i - 24159367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6569649849.\nAnswer: 3, 7, 421, 743089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:30 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -7*z**4\/12 - 7*z**3\/6 - z**2 + 299*z. Let d(w) = 13*w + 4. Let o(v) = v. Let f(y) = d(y) - 6*o(y). What is -7*f(q) - 4*p(q)?\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 654.1455 months?\nAnswer: 0.54512125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.640097 litres?\nAnswer: 3640.097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*z**3 + 191*z**3 - 91*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*q = 284*q + 24*q + 3696 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 189*k - 58*k + 56*k + 3 - 4 + 15*k to the form y + u*k and give u.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = p. Suppose s + p = 5. Let v(c) = c**2 - 1. Let l(m) = -5*m**2 + m + 6. Let i(u) = s*v(u) + l(u). Determine i(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 7*k - 2. Let i = 11 + k. Solve -i + 4 = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6560 divide 3372482880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 3, o: 3}. Give prob of sequence hr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 76626900*o + 73216817 wrt o?\nAnswer: 76626900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.017 + 1.017. Which is the second smallest value? (a) -2\/43 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92454*f**2 - 123456 wrt f?\nAnswer: 184908*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28082918 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6))\/(171\/(-12))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*s = -2*s - 2, -2 = -2*d - s. Let u = d + 1. What are the prime factors of ((-1)\/u)\/(7\/(-126))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(0*r + 0*r - 2*r**2) - r**2 + 0 + 0 + (4 - 2 - 3)*(-4*r + 4*r + 3*r**2) + 354408*r - 354408*r + 66*r**2.\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/69, 98, 65.\nAnswer: 1\/69, 4, 65, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 36 = -5*q + 12, -3*q = 4*s - 82. Suppose -8*l = -s*l - 565400000. What is l rounded to the nearest one million?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 + 1.36. Let m = f + 0.06. What is m rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4015*f + 51 + 1342*f + 1340*f + 1334*f + 14005 to x*f + b and give b.\nAnswer: 14056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -91*v + 680. Calculate t(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 9001?\nAnswer: 630070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2\/9*c**2 + 28\/9*c + 98\/9 = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*d + 5*r - 28, 4*d = 4*r - 16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-3))**(-22\/7)*(l**(-5))**(-25))**10 assuming l is positive.\nAnswer: l**(8970\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - u - u + 390 = 0, 5*u - 15 = 0. Let i be (j\/7)\/((-12)\/336). Calculate the remainder when 6\/(-27) - i\/(-27) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 + 4*o)*(o**2 - 2*o + 2*o) + (2*o**2 - o**2 - 2*o**2)*(-4*o + 3*o - 3*o).\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2561 - -638. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvduducououv. Give prob of picking 1 d, 2 v, and 1 o.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/116 and -2\/11959 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/11 + (-4)\/22. Suppose 0 = -4*m + 2 - 14. Which is smaller: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-14)*(j*j**6\/j)\/j)\/((j\/(j*(j*j\/(j\/(j**14\/j))*j*j)\/j*j))\/(j**(2\/31)\/j)) assuming j is positive.\nAnswer: j**(188\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1948.7 + -1948.643. What is the third biggest value in -2, h, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 29*b**2 + 192*b - 6. Calculate p(-13).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101878, 407623, 917202, 1630621, 2547886, 3669003, 4993978?\nAnswer: 6522817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Let j = -8 + o. Let i = -135 + 135.5. Which is the second biggest value? (a) i (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 3. Let h be n(3). Suppose -45 = -0*f - h*f. Solve 4*t = t - f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13331, -13332, -13335, -13340, -13347, -13356?\n\"Answer: -r**2 + 2*r - 13332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 237 and 213.\nAnswer: 16827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 69, 3 in decreasing order.\nAnswer: 69, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9575, 18893, 27639, 35531, 42287, 47625, 51263?\nAnswer: 52919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p. Let g(x) = -2*x - 21. Suppose -39*h - 41*h = -56*h + 24. Calculate h*g(y) - 3*t(y).\nAnswer: -y + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22110222 (base 3) to base 10.\nAnswer: 6182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6601961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*c + 2*v = -11, -v = 4*c - 17. Suppose -3*u = -4 - 2. Solve c*y + u = z + 6, z + 2 = 3*y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29638200 + 11?\nAnswer: -29638189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15114.\nAnswer: 2, 3, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -104 and 4.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 594707546 * 0.1\nAnswer: 59470754.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 0 = 3*u + 9, 0 = 2*b + 4*u + 18 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.15 - 6.6. Let n = 1.44929 + y. Round n to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 862*z**2 - 151*z**2 - 205*z**2 + 1094*z**2 to the form t*z + j + d*z**2 and give d.\nAnswer: 1600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 426 - 221. Let f = z + -205.0091. What is f rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 3*u + u + 3*u**3 + 2*u in the form z + q*u**3 + j*u**2 + g*u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -1, 13, 35, 65, 103, 149?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 - -295\/4. Which is the nearest to -1\/2? (a) -2 (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w. Let t(r) be the second derivative of 5*r**4\/3 + 11*r**2\/2 + 130*r + 3. Determine t(n(i)).\nAnswer: 320*i**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 22*t**2 + 4*t - 81. Calculate l(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11649, -46564, -104745, -186192, -290905, -418884?\nAnswer: -570129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 14563868 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -20660*a - 223. Is z(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 10) to base 6.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c. Let h be i(6). Let f(s) = s**2 + 7*s + 8. Give f(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -18*k**2. Let h(a) = -17*a. Let n(z) = -9*z. Let b(w) = 6*h(w) - 11*n(w). Calculate p(b(d)).\nAnswer: -162*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11102200012010 + 22120?\nAnswer: 11102200111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011001 (base 2) to base 10.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73\/12 + -65\/6. Is -0.1 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61738 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**5 - 9*m**4 + 11*m**3 + 61*m**2 - 60*m - 100 = 0.\nAnswer: -2, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, n: 5, c: 2}. What is prob of picking 2 u and 1 n?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5828 divided by 1457?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 3357.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sns when three letters picked without replacement from nnssssssssss?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) 348 (c) 7 (d) 3\/73 (e) -4 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Let g(l) = -2*l**3 - 3*l**2 + l + 4. Calculate the lowest common multiple of r and g(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*i - 47*i = -36. Solve 4*m - 1 = -i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/6)\/((-2)\/(-6)). Suppose -3*z - 10 = -d*z. Let l(b) = -z*b + 3*b + 0*b. Let i(v) = -3*v**2. Give i(l(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a millennium in years?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, h: 5, q: 10}. What is prob of picking 2 q and 2 h?\nAnswer: 75\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50.753 + -50.3. Let h = o - -19.447. Let b = 20 - h. Which is smaller: -7 or b?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, t: 2, z: 6, g: 3, w: 1, i: 4}. What is prob of picking 1 t, 1 i, and 1 n?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 69830 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*p - 93, -3*u - 5*p + 4 + 119 = 0. Suppose -103 = -j + 3*f + 42, 0 = 5*j + 4*f - 706. Calculate the remainder when j is divided by u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 160.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -154703432*s + 13438062?\nAnswer: -154703432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 5)*((-4 + 4 - u)*(-2 + 0 + 0) - 3*u - 1 + 1 + 113*u - 160*u + 110*u)*(2 + 3 - 1).\nAnswer: -744*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4236971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103132 - -2?\nAnswer: 103200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 3. Let f be m(0). Let o be f + 4\/(-4) + -2. Let a be 3*(2 + 8\/(-3)). Which is greater: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18401?\nAnswer: 18401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 8*j**2 + 10*j + 13. Let r be n(-9). Suppose -2*d + 2 = r*s - 38, -10 = -5*d. Let b be 12\/s + (-2)\/6. Solve 0 = u + b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 30282*t + 4 - 3.\nAnswer: 30282*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - 4) + -2 - (-2131 + (2 - -4))?\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-20) - (63\/(-180))\/((-5)\/10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3382 - 575 + 653 - 2*g - 5326 - 1142 in the form f + j*g and give f.\nAnswer: -9772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 - -3)\/(-3 - -1). Calculate the greatest common factor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -3\/374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 247 - 491. Let x = -243 - v. Is x < -0.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 322539076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4 + 15*v**3 + 30*v**2 - 140*v + 120 = 0. Calculate v.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 367\/147 + 1 + -14 + 11 and 149\/42.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-1\/3)\/k)\/(k**(2\/9)\/k))\/(k\/k**2*k)**25)**(1\/12))**(-13\/3) assuming k is positive.\nAnswer: k**(-13\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -216 - -257. Let f = 37 + 248. Calculate the remainder when f is divided by d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1838*k**3 - 2*k**2 + 1. Let c be q(1). Suppose 3*w - 2*a = 2*a + 5515, w - 2*a = c. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -252 - -433\/2. Calculate the common denominator of 49\/290 and r.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((2 - 2) + 2)*-1. What is the nearest to p in -4, 0.1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106994 * 3063\nAnswer: -327722622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipexeevve. Give prob of sequence xvei.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2926024\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 97207740 a multiple of 895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8200, 8204, 8210, 8218, 8228, 8240?\n\"Answer: g**2 + g + 8198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.248 + 1927545?\nAnswer: 1927538.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -112 and -69.748.\nAnswer: -181.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 - 3*n - 2. Let q(x) = 6*x**2 + 8*x + 5. Let p(t) = 17*f(t) + 6*q(t). Is 10 a factor of p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 64*o**3 + 2*o**2 + 2*o. Suppose 6*p + 1 = 5*p. Let a be x(p). What is the tens digit of (80\/a)\/(1\/(-116))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-1*sqrt(130) - sqrt(130) - sqrt(130)))\/(sqrt(10) - ((sqrt(1210) - (sqrt(1210) - -2*sqrt(1210))) + sqrt(1210))) + 5)*-4.\nAnswer: -20 - 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -274 + 299. Calculate the greatest common factor of 425 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 4, d: 1, c: 6, v: 3}. What is prob of sequence vvv?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1724, -1727, -1730, -1733?\nAnswer: -1736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94.7 - -95. Let n = 1151\/3 - 383. Which is the third biggest value? (a) n (b) i (c) 1\/3 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 2*z + 7, 11 = 2*q + 3*q - 4*z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1775\/(-1278)*(40\/(-50))\/4?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29\/155 - 2\/155. Which is the closest to 7? (a) 0.4 (b) -1\/2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 46744 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -72\/5 - 2*g**2 - 2\/5*g**3 + 64\/5*g = 0.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-9 - (-1 - 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/2)\/((-68)\/(-272)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -273738192, -4, 3 in descending order.\nAnswer: 3, -4, -273738192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6494*i + 5983*i = 34237 for i.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h - 269 + 1 = 20 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -25307808 divided by -26696\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p*p**(-3)))*p)**(1\/58)\/(((p**(-6)*p)\/p)\/p*(p\/(p\/p**7))\/p) assuming p is positive.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 58208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.65773 - 0.09.\nAnswer: -1.74773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**7\/360 + g**6\/72 - g**5\/20 + 6*g**2. Let z(r) be the third derivative of n(r). Let s(d) = -d - 1. Give 12*s(p) + z(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1062*h + 205*h + 68965 + 47587 = 0 for h.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 985 a factor of 3437790855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g + 241 - 241. Let z(q) = 44*q. What is 24*x(v) - 5*z(v)?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 23331 = 3*y, 5*y = -4*t + 45157 - 6274. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 11*u**2 - 2*u - 1. Calculate the remainder when 21 is divided by z(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -527, -2139, -4863, -8699?\nAnswer: -13647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 20 = -2*a. Let z be a\/(1 + (-4)\/8). Determine l, given that -3\/4 - 9\/4*l + 3*l**z = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94525474 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2923 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q**(-5\/3)\/q)\/q)*(q\/((q\/((q*q**(-3))\/q)*q*q)\/q))\/q)\/(q*q**4*q**(8\/7))*(((q*q**(-3))\/q)**(-17))**(1\/21) assuming q is positive.\nAnswer: q**(-64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6 + 0 = 0. Let b be x*3\/12*2. Find the first derivative of -9*v**3 + 1 + 2 - 2*v**b + 7*v**3 wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-2)\/(-4)*(-12)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -10) + -34 + 3 + 6 + 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {f: 4, h: 2, m: 2, z: 3, e: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 24948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42.4 + -46.4. Sort -0.1, x, 0.3, 5 in decreasing order.\nAnswer: 5, 0.3, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4.1, 4, 6, -0.1?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156823682.\nAnswer: 2, 19, 4126939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9255, -9218, -9163, -9090, -8999, -8890, -8763?\n\"Answer: 9*z**2 + 10*z - 9274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1819, -7, -1 in decreasing order.\nAnswer: 1819, 12, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.0429, -77 in descending order.\nAnswer: -0.0429, -2, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 - 2*l**2 + 3*l**2 + (-54*l - 45 + 45)*(-2*l + l - 2*l) to u*l + q*l**2 + o and give q.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 6*d - 2*d)*(d + 4*d - 6*d) - d**2 + 5*d**2 - 2*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 y, and 2 x when four letters picked without replacement from uxggxgggoxxgoyo?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/492 and -61\/30.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 5:05 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 205494 and 5600302.\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1051*b**3 + 1807*b**2.\nAnswer: -6306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100120002002020 (base 3) in base 6?\nAnswer: -300513140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, -2, -67.58, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 513 = 3*u, -844 = -5*u - 3*m + 35. Suppose -25 = -287*c + 1697. Calculate the greatest common factor of c and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 902 and 22?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-2))\/(18\/24). Let q(b) = -b**2 - 3*b - 3. Let a be q(m). Let n(k) = 3*k**2 - k - 1. What is n(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b - 1\/2*b**3 + 0 + 1\/12*b**4 + 1\/2*b**2. Let q = -2 - -6. What is o(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 14 + 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4 + 84\/60)*10\/(-92) and 47\/1232.\nAnswer: 28336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15789943297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/63*15*(-12)\/(-10). Solve d*q - 7*q = -12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3524040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 116, 226, 346, 476, 616, 766?\n\"Answer: 5*s**2 + 95*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57246 and 2841594.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*k + 31, 5*s - 13362 = 3*k. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744032.\nAnswer: 2, 23251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 14*l**2 - l + 1. Let h be 12\/(-42) - (-23)\/7. Let o = h + -2. Does 12 divide r(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48278088 divided by 2011587\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 + (-3 + (-2 - -3) - 55) - -7.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -4*b + 0 - 1\/24*b**3 + 0*b**2 + 1\/24*b**4 - 1\/80*b**5. Factor f(g).\nAnswer: -g*(g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2006 - 2000 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 11576*h - 11575*h + 16 = 0, -3*a + 4*h = -45 - 7 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 63352.09g?\nAnswer: 63352090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 28*v + 1 + 188\/3*v**3 - 4418*v**2 - 1\/3*v**4. Factor s(i).\nAnswer: -4*(i - 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130038 + 0.12.\nAnswer: -130037.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588 = -143*w + 417 + 1488 + 1940 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 4*j + 2*j)*(3*j - j - 4*j) - j**2 - 2*j**2 + 4*j**2 + (2 - 2 - 3*j)*(19*j + 11*j + 34*j).\nAnswer: -189*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194585, 0, 4 in descending order.\nAnswer: 4, 0, -194585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 1118208?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j. Let r(k) = -3*k. Let s(p) = -13*r(p) + 6*y(p). Let b(d) = 3*d. Calculate s(b(m)).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -496*z**3 - 18*z**2 + 29*z + 5. Let c(s) = 165*s**3 + 6*s**2 - 10*s - 2. Let k(p) = -3*a(p) - 8*c(p). Is 13 a factor of k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.176257 and -83.\nAnswer: 97.629331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/15)\/(13 - (-833)\/(-63)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 7, -15, -47, -89?\n\"Answer: -5*i**2 + 3*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 792.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 5*t**2 - t + 2. Let f = 258 + -254. Give a(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556*v = 558*v - 2*k - 10, 0 = 3*v - 2*k - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 7. Suppose 0 = 7*h - 11*h + 3*f + 16, 2*f = -5*h + 20. What is the smallest common multiple of l(h) and (5\/(-2) + 2)*-24?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9\/8, 13.7, 0.3, 3, -9, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 741762388 to the power of 1\/2, to the nearest integer?\nAnswer: 27235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 5747 = 62880. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814240579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 121202 (base 5) to base 6\nAnswer: 33024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, x: 1, l: 1, f: 1, n: 1}. Give prob of picking 1 f and 1 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 + -0.16. Let g be ((-912)\/40)\/(3\/(-10)). Which is smaller: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*x + 1978191 = 1975100 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19326*a**2 + 3*a - 664?\nAnswer: 38652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6887015?\nAnswer: 5, 1377403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*2*(-1 + 3). Let n be (-2)\/(-3) - (-80)\/(-12). Let z = n - g. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2008*u - 15. Is k(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 26277 in decreasing order.\nAnswer: 26277, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 446*i**2 - 8474*i - 25. Give d(19).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -134207 take away -330079997?\nAnswer: 329945790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0503 and 9.6.\nAnswer: 0.48288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(98))**2.\nAnswer: -99 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -6438\nAnswer: -2\/3219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(4*1))\/((-127)\/(-1270))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154064 and 672?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-45))\/((10\/3)\/5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2946*g**3 - 2319*g.\nAnswer: -17676*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + (-2 + (0 - -3) - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -36. Suppose -4*l = -53 - p. Suppose 7 = -4*r + l. Solve a = -4*v - 4, r*v = 4*a + a + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 2\/9, 1\/250?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 1\/5, -6485, 103 in descending order.\nAnswer: 103, 1\/5, -0.01, -6485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 3:53 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -70, 0, -9 in increasing order.\nAnswer: -70, -9, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17453 = 1426*g + 8215 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5765 + -4856. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 59.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-19 + (0 - -18)\/(-19 - (-980)\/56)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1667 and -1672 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1396560000 to the nearest 1000000.\nAnswer: 1397000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(528\/196) - (-8)\/44. What is the nearest to -2 in g, 0.5, 3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 522, 625, 728, 831?\nAnswer: 934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -29*j**2 + 102*j**2 - 2*j - 42*j**2. What is the tens digit of w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**2 + 8*k + 4. Let p(l) = -5*l**2 + 14*l + 7. Let v(i) = 7*f(i) - 4*p(i). Calculate v(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -14*g**2 + 31*g**2 - 18*g**2 - 1 - 2*g + g. Suppose a = 2*j - 2, -4*j + 3 = -a - 1. Calculate v(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a meter in micrometers?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151430 by 1594.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 174303.9 from 15419940.\nAnswer: 15245636.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 26802cc?\nAnswer: 26802cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 + 11*a + 12. What are the prime factors of b(-7)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*l, -4*i - 91 + 67 = -4*l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - h - 3)*(1 - 3 + 6) - 4*h + 4 - 4 + 2*h - h + 0*h + (1 - 4 + 4)*(h + h - h) to the form t*h + k and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 256528542*f**3 - 3*f**2 + 22618660?\nAnswer: 1539171252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**5 + 5370*k**4 + 5436*k**3 - 112698*k**2 - 241785*k = 0. What is k?\nAnswer: -3, 0, 5, 1791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1869 - 5308 = -1439*g + 31097 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4*g + 20. Suppose -n - 8 = -3*n, -3*n = -g*j. Suppose -7 = -5*z + 3, j*x + 3*z = 96. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7560 and 4040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52493\/6116 + -2\/4587. Find the common denominator of x and -71\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 4:22 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1461, -1458, -1453, -1446, -1437, -1426?\n\"Answer: i**2 - 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4 + 40 = 0. Let l = g + -8. What is the remainder when 10\/l - (-2)\/(-4) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 344249080?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/2))\/(k\/k**(9\/4))*(k**10*k)\/((k\/(k**(-6\/11)*k))\/k) assuming k is positive.\nAnswer: k**(625\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b - 1. Let q(s) = s**3 + 7*s**2 + 2*s - 19. Let h be q(-6). Calculate v(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 2 - -2 - -19 - 7 - 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 2, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321342591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -27612 divided by 767\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1687*-108\nAnswer: 182196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + u. Suppose 2*g = -0*o - 5*o + 195, g + 2*o - 96 = 0. Suppose g - 30 = 20*w. Determine d(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3234490 divided by 490?\nAnswer: -6601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10807 is divided by 675.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 6:59 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -m + 4*s, -4*m - 3*s + 21 = -8. Let x(q) = 9*q**3 - 4*q. Let g(b) = -10*b**3 + 5*b. What is m*x(h) + 4*g(h)?\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 105380 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13892 and 20?\nAnswer: 69460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1641.235 + -1112.762. Let z = 528.942961 - u. Let a = z - 0.47. What is a rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*k = -13, f - 3*f + 2*k - 10 = 0. Let h(d) = -5*d**2 + 23*d + 19. Let j(n) = -2*n**2 + 11*n + 9. Let y(x) = f*h(x) + 9*j(x). What is y(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 684 and 12.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*u - 71, 0 = -q - 3*u + 17 + 16. Let r be -5 + 6 + q*-1. Round r to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -412420 (base 5) to base 4\nAnswer: -3102231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 119\/(-56) - (-2)\/16. List the prime factors of (13\/(-2))\/(l\/12).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258381753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2576 is divided by 231.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from ssssrqsrxsrj?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1964.251 times -0.4?\nAnswer: 785.7004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 r, and 2 d when four letters picked without replacement from rfdrdrdumdhdu?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -86225237.988 take away 0.2?\nAnswer: -86225238.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18e1cf (base 16) to base 11\nAnswer: a14169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51425 is divided by 1977?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7903652*f = -7903771*f + 971 + 814 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 20*h + 3. Let w = -23468 - -23474. Let b(u) = 19*u + 3. What is w*b(a) - 5*t(a)?\nAnswer: 14*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 - 862*s + 55327. Calculate u(54).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -457*t - 8, t = -5*f - 20413 + 20403 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312898583 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00045457 to 6 decimal places.\nAnswer: 0.000455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 0.08?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 3. Let g be (-10)\/15 - 2\/(-3). Let b be r(g). Suppose -b = 2*y - 7. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703534847.\nAnswer: 21559, 32633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -7.08.\nAnswer: -28.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 361648.4 millilitres to litres.\nAnswer: 361.6484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 20*i - 42*i + 71*i + 42*i**2 in the form v + r*i**2 + l*i and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 25*c + 39*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n**2 + 19*n - 5. Let l be (273 - (11 - 2)) + 0. Suppose -55*f + l = 44. Give x(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/(2*sqrt(2)))\/sqrt(4))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3 - 21 = 0. Let p(k) = -k**3 - 8*k**2 + 9*k + 3. What is p(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89 + 5 - 96)*(37*v**4 + 29*v**4 - 12*v**4).\nAnswer: -9720*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, t: 4, q: 10}. Give prob of sequence attq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 11:36 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o - 106 = -3*j, 0 = -3*j + 4*o + 110. Let q be 1\/(-2) + j\/(-4). Let r = -1 - 2. Sort 2, q, r.\nAnswer: q, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4732 = 1516. Suppose s = 6*t - 3704. Let a(l) = t*l + 2 - 792*l + 6*l**2 - 2. Let v(d) = 7*d**2 + 5*d. Calculate 5*a(i) - 4*v(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495982.\nAnswer: 2, 247991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000025928 to seven decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -1, -648, 154, 3 in increasing order.\nAnswer: -648, -5, -1, 3, 4, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -23924685?\nAnswer: -23924685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -706 + 683.52. Let x = s + -71.62. Round x to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10644.43, 0.1, 2\/27 in decreasing order.\nAnswer: 10644.43, 0.1, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 12:09 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 4. Let r(k) = 2*k - 11. Let a(p) = -6*p + 33. Let z(v) = 6*a(v) + 17*r(v). Determine -8*g(m) + 3*z(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 6:37 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3100320100203 + -12?\nAnswer: -3100320100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + (-4 + sqrt(275) + 3 + sqrt(275) + -4 + -5)**2 + 3).\nAnswer: -6015 + 1000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/3, -0.4, 2\/25 in increasing order.\nAnswer: -5, -2\/3, -0.4, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**7\/42 - 13*z**4\/8 + 24*z**2. Find the second derivative of f(t) wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(0 + sqrt(1100))*1)**2.\nAnswer: 17598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12736 (base 12) to base 7.\nAnswer: 133410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 0*y + 0*y + (2*y - y + 10*y)*(-1 - 3 + 2) - 2*y + 2 - 2)*(1 - 5 + 3) to the form w*y + x and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -122, -141, -168, -203, -246, -297?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1563.\nAnswer: 5\/1563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*q - 67282 + 5572. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**3\/3 - n**2 - 4*n + 81. Determine m(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/(-15))\/(-11)*-1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3965162 and 31?\nAnswer: -122920022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.85.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41964263273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -504, 158, 2512, 7404, 15680, 28186?\n\"Answer: 141*r**3 - 325*r - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -2302021032120?\nAnswer: -2302021032102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.0787 years?\nAnswer: 96.9444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a factor of 52522647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**3 + 2*v - 4 + 1 - 2*v**2 + 2. Let h be q(1). Let s(x) = x + 1. Let u be s(h). Solve -u*l + 5 + 7 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22835595 take away 2?\nAnswer: 22835593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49991609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 2:11 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 61*j - 364. What is m(-6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8*((-1)\/2)\/((-26)\/(-13))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8568 by 5608.\nAnswer: 1071\/701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-7)*(20\/(-5))\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 85971436 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 3:06 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*u**2 - 170*u - 9*u**2 + 171*u + (-1 + 2*u + 1)*(3*u + 0*u - 5*u) + (2*u + 2*u - 5*u)*(-11*u + 0*u + u) in the form b*u**2 + k*u + w and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 2*k - 60 = 0. Let s be k + 104\/16 - (1 + 0). Determine t so that 1\/2*t**2 + 0 + s*t**3 - t = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/14 + 52\/35. What is the smallest value in 0.3, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 329.\nAnswer: 65.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 15085613.3 to the nearest 10000.\nAnswer: 15090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2\/3 + 3230*o\/3 = 0. Calculate o.\nAnswer: 0, 3230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 389576110?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35580 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, 29, -0.3.\nAnswer: -0.3, 0, 0.2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 1, l: 1, y: 1, r: 1}. What is prob of picking 1 i and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.17 - -0.17. Let w = 9 + -13. Let i = w + k. Which is the smallest value? (a) 5 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 16*j**2 - 16*j + 17. Let p be d(15). Solve -2*b + b - p*n = -1, 0 = b - 3*n + 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 9 + 1 = 0. Suppose 4*j - 12 = -d + 1, -11 = -3*j - d. Let h be (-9)\/(-6)*(-8)\/(-18). Which is the third smallest value? (a) r (b) h (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 64 = -96. Let y(t) = -2*t - 2. Calculate the lowest common multiple of p and y(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 2680205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 9*y**3 + 2*y**2 - 1. Let i be o(-1). Let p(w) = -10*w + 38. What is the remainder when p(i) is divided by ((-2)\/2)\/1 + 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 364845753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*s - 26. Sort 0, 2, s in increasing order.\nAnswer: s, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = b + m, 2*m = -4*b - 3*m + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 - 129 = -6*h + 4*i - 126, 6*i = -5*h - 51 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 2:26 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 2:18 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and -419.69.\nAnswer: 335.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -178399690 by -296345.\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -85 from 61372594.\nAnswer: 61372679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 42. Which is smaller: i or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 6:05 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 k when four letters picked without replacement from mwmwwkkkk?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(26\/160) + (-6)\/(-39)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6662\/17 - 392. Let p = 83345.5 - 83346. Which is the nearest to -1? (a) n (b) -1\/41 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*f = -65*f - 1650 + 306 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-15)*(-7)\/14.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -7*b**4\/24 - b**3\/2 + 5*b**2 - 9. Let i(c) be the second derivative of s(c). Let k be (-1 + -2)\/((-3)\/(-2)). Determine i(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24, 77, 2\/41, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-612)\/540 + 18\/10. Let z(d) be the second derivative of 0*d**2 + w*d**4 + 1\/6*d**3 - 6*d + 0. Find the second derivative of z(k) wrt k.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3*f + 1 = 5, -2*k + 8 = -3*f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 f when four letters picked without replacement from {z: 3, f: 5, h: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-3))\/(g*g**4)*(g\/(g*g*(g**(-1\/4)\/g)\/g))**39)**(-3\/11))**(35\/2) assuming g is positive.\nAnswer: g**(-20055\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599 - (-11 - (-5 - 1)).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067160569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8603538 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/5)\/(4 - ((-72)\/(-60) + 3)). Factor -2\/3*c**2 + 2\/3*c - 2\/9 + 2\/9*c**l.\nAnswer: 2*(c - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 334 - 444. What is the greatest common divisor of 451 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 6*d**2 - 5*d - 2. What is h(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4 + 14 + 384*c**2 - 13*c - 382*c**2. Let v be i(7). Calculate the highest common divisor of v and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 14 - 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 7*t**2 + 9*t + 4. Let z be q(-8). Let f be ((-6)\/z)\/(3\/8). Suppose -4*n + f*v + 16 = -4, 10 = n - 2*v. Solve n = -4*k + 14 - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4338200528 to 4 decimal places.\nAnswer: 0.4338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5*a - 1 = 0, -2674*a = -2652*a - 22 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 24. What is the tens digit of 1\/(-4) - x*458\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 5048 = -2*y. Let w = 143 - y. Suppose -7*l = -514 - w. What is the highest common factor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43516 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/x**(-19))*x**8)**(-19))**(-46) assuming x is positive.\nAnswer: x**(-8740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8588116 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 1 - 11. Let f be (-1 - 4\/j) + 1. Solve 3*c + 3 = f*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2866971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789225 is divided by 922?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 136618 divided by 136618\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367*s**2 - 1084*s**2 + 356*s**2 - 20*s**3 + 361*s**2 + 69*s**3.\nAnswer: 49*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, d: 2, k: 2, j: 8}. Give prob of picking 1 d, 2 j, and 1 x.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21668 by 2.\nAnswer: 10834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/23)\/(b\/b**6*b))\/(b*b**13*b*b*b*b*b**(-3\/2)) assuming b is positive.\nAnswer: b**(-571\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 12) to base 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgsp when four letters picked without replacement from {l: 5, s: 1, g: 1, p: 12}?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 25 = -d, 16 = -5*d - 4. Which is bigger: -5 or g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 21*g**2 + 14*g + 18. What is the hundreds digit of b(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o + 2. Suppose 0 = 4*f - 4*z + 4, 2*f - f - 5*z - 7 = 0. Let u = f - -6. Give w(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1839169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m + 2*m - 2*m - m**2 + 8*m. What is s(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = 0, 5*i - 75*u + 16 = -79*u. Which is the second biggest value? (a) i (b) -3\/4 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19128925 divided by 1.\nAnswer: -19128925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251443889?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3, n: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19034 and 309194?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2990*w - 115. Let x(n) = 37*n + 1. What is b(t) + 115*x(t)?\nAnswer: 1265*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.13 + 0.1. Let w = 2.03 + c. What is the closest to w in -1, -0.4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -14365, 129.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lelvlllvll. Give prob of sequence lee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2303)\/(-98) + (-7)\/2. Let s = 7 - 2. What is the greatest common factor of t and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -16. Let l = -3 + t. Suppose 29 = 4*j - q, -j - 6*q + l*q + 4 = 0. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, -40, -2, -7, 0 in increasing order.\nAnswer: -40, -7, -6, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c**2 + 4*c. Let z(i) be the second derivative of 5\/6*i**3 + 7\/12*i**4 + 0 - i + 0*i**2. Let k(m) = -6*n(m) + 5*z(m). Suppose k(y) = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-19 + 1)\/(4\/(-10) + 176\/540). What is the highest common factor of 12 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x + 4*x**2 + 4 - 3*x**2 - 3. Let p = 44 - 29. Suppose 6 - p = 3*d. Give y(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*o - 83 = 175 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/10)\/(6\/15). Suppose -9 - 3 = -f*v. Find the second derivative of -i**3 + i**3 + i + v*i**5 + 3*i wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - y = 666, 6*y - 5*y = -3. Let w = -339 + x. Does w = 323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2975 * -29.063\nAnswer: 86462.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 + 3*r**2 - r - 4. Let a(m) = 4*m**3 - 6*m**2 + m + 7. Give -4*a(d) - 7*u(d).\nAnswer: -2*d**3 + 3*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 9.89. Let a = y - -0.41. What is the second biggest value in a, -10, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -321 - -320.9999401. Round i to 6 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let i(k) = -8*k + 59. Let m(p) = -4*p + 30. Let a(v) = 3*i(v) - 5*m(v). Let q be a(t). Calculate the highest common divisor of 54 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.63378 micrometers?\nAnswer: 0.000463378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Suppose 18*p = 22*p - 8. Suppose -5*n = 4*q - 32, p*n + 0*n + 4 = 4*q. What is j(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -2 + 4\/1. Suppose 2*i - 142 = -t*b, -98 = -0*b - 2*b + 2*i. Suppose 0 = h + 3*h - b. What is the smallest common multiple of 14 and h?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 69. Calculate the remainder when 130 is divided by b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2544 divided by -48\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 3 = 7*z. Calculate the remainder when 39 is divided by z\/(-7) + 1805\/133.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1797, 3634, 5517, 7446?\n\"Answer: 23*s**2 + 1768*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8094 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(4\/(-6)*486\/324)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**5\/5 + 7233*r**4 + 36162*r**3\/5 = 0.\nAnswer: -12054, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-18)*2\/(-7)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 799738298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 + 16)\/(56\/16) - 2754\/(-63).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 355534294?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 13*u. Let g(j) be the second derivative of -j**4\/4 + 19*j**3\/3 - 594*j - 1. Calculate 2*g(b) + 7*n(b).\nAnswer: b**2 - 15*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 - 4*n**2 + n - 1. Let m be h(3). What are the prime factors of 12\/m - (-32)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/((-13)\/(-20) - (-12)\/(-30)). Let v = u + 81. Solve -2*o = o + 15, 0 = r + v*o + 28 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 8*k + 10. Let n be s(-8). Let i = 9 - n. Put 2, i, 1 in descending order.\nAnswer: 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 46496?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 151.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 15.2. Let i = p + 0.53. Round i to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -25. Let f(o) = o**2 - o - 2. Let l be f(2). Suppose l*v = 3*y - 3*v - 27, 2*v = y - k. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1490 - 1488. Which is greater: -2\/4053 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/5*-1*(-48)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12513 and 9.\nAnswer: 37539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584820731?\nAnswer: 11, 1091, 48731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 3*s**4\/4 - 12*s**2 + 8*s - 87. Differentiate p(r) with respect to r.\nAnswer: 9*r**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Let j = -44 - -18. Let k = 25 + j. What is the nearest to v in 5, k, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 7*d**6\/120 + 13*d**5\/16 + 41*d**4\/16 - 145*d**3\/24 - 25*d**2\/4 - 41*d - 2. Factor l(k).\nAnswer: (k - 1)*(k + 5)**2*(7*k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 - -9) + 5 + -1. Let j(c) = -5*c + 6. Let r(n) = -6*n + 7. Let v(i) = w*j(i) - 2*r(i). What is the units digit of v(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - m - 4. Calculate z(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*s + 30209*s**3 + 33*s - 103*s - 30302*s**3 + 39*s.\nAnswer: -93*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 9) to base 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*y - y**2 + 24 - 3*y**2 + 2*y**2 + 0*y - 44*y wrt y?\nAnswer: -4*y - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*r + 3*f + 4, 4*f - 4 = -4*r. Suppose -d + 5 = a, r*d - 2 - 4 = 2*a. Solve -3*v - 4*y - a = 4, -5*v - 2*y = 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -132*b**2 + 77*b**2 + 88*b**2 in the form i + k*b**2 + f*b and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 17613141.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 = -3*a, -2*k = -2*a - 1254. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8151 + -8150. Which is the nearest to -2\/5? (a) -2 (b) d (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15452814359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -6717312?\nAnswer: -6717315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**2 + 2*u + 1176655. Let z(l) = -4*l**2. Determine g(z(y)).\nAnswer: -64*y**4 - 8*y**2 + 1176655","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (146*f - 94*f + 148*f)*(-5 - 2 + 5) + 2*f + 2 - 2.\nAnswer: -398*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432277451 a multiple of 990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 + q + 8. Let x be w(-5). Suppose -3*f = 2*m - 70, m - x = -4*f + 6*m. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 7 + -3 - (-3 - (-9 + -3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 2*p**3\/3 + 17*p**2 + 7*p + 113. What is the first derivative of z(d) wrt d?\nAnswer: 4*d + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 548*d**2 + 513 - 513.\nAnswer: 548*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from {m: 6, d: 2, p: 1, b: 1, i: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 223 = -4*q - 5*v, 0 = 4*q - 5*v - 190. What is the remainder when 89 is divided by q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422523119?\nAnswer: 422523119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205474703?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(576)\/(sqrt(36)\/sqrt(3)) + 1 + sqrt(3) + 0 + 5.\nAnswer: 6 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*g + 23*g + 16*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*n + 30 = 103*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 7:45 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11 - 0 - 29725\/2706. Let r(s) be the second derivative of -3\/11*s**2 + 4\/33*s**3 + 0 - 6*s - y*s**4. Solve r(l) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g**2 + 24*g + 254. Determine p(-8).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63830.3 or 2\/19?\nAnswer: 63830.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a - q, 4*a - 16 = -0*q - q. Suppose -c - 3*n + 3 = -6, 2*c + a*n - 13 = 0. Calculate the lowest common multiple of 2 and 45\/6*(-8)\/c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/21 in 7, -0.4, -3.38, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 1152 (b) -12 (c) 0.016\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-12)*r)\/r**(-7) assuming r is positive.\nAnswer: r**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 200?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) 1\/2 (b) -4 (c) 0.7 (d) 4 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.100677402 rounded to 1 decimal place?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -546880097616 and 5.\nAnswer: -546880097611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 391760, 391758, 391754, 391748, 391740, 391730, 391718?\n\"Answer: -f**2 + f + 391760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 3:49 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16879\/8 + 2121. Let a = 17662609\/20 + -883363. Let g = a - -1124\/5. What is the common denominator of g and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*l + 55 - 19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/16 + (-147)\/4. Let v be 1\/4 - (-9)\/n. Suppose v*h = 2*h - 66. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + s = -40. Let m(k) = k**2 + 52. Let i(n) = n**2 + 35. Let o(g) = s*i(g) - 5*m(g). What is the derivative of o(f) wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from {c: 1, x: 4, w: 1, f: 1, o: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u + 587798. Let l(s) = -3*s**2. Give m(l(j)).\nAnswer: 12*j**2 + 587798","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*h - 2, -q - 2*q = -2*h + 13. Suppose 2*w - 2 = 3*f, w = h*w - 5*f + 6. Suppose n = -2*n + 5*z + 1, 0 = -2*z - w. Is n at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22869008 and 34303512.\nAnswer: 68607024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 + 3245*z**2\/2 + 631903*z\/2 + 628659\/2.\nAnswer: (z + 1)*(z + 207)*(z + 3037)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*u**2 - 126*u**2 - 110*u + 263*u**2 wrt u.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 909 and 79689.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -2*d**3\/15 + 144*d**2 + 1442*d\/5 - 3684. Let x(u) = 0. What is u?\nAnswer: -1, 721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 3*g. Let f be s(2). Suppose 5*i = f*x + 2*x + 11, -2*x - 9 = i. Are 2\/35 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 3. What is the units digit of 1*(41\/1 - (16 + d))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5)*t**(-5)*t)\/(((t**(-9)*t)\/t)\/t*t**(-9)\/t))**(-1\/54) assuming t is positive.\nAnswer: t**(-11\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6 + 109.\nAnswer: 110.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30*h**2*y - 7086762*h**2 + 325523*h*y**3 wrt y.\nAnswer: 30*h**2 + 976569*h*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 3\/(-2))*0. Suppose 8*z - 21 - 3 = k. Solve g**3 + 10*g - 10*g - z*g**3 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 925105810 divided by -25310.\nAnswer: -36551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 8918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*m - 126*m = 0. Which is the fourth biggest value? (a) -1\/5 (b) m (c) -3 (d) 1\/3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-142984)\/(-2344)*10\/58255.\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1142*c + 512*c - 6648 = -1184*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 166*h**3 - 5147*h**2 + 32*h - 49. Determine j(31).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -319*s**3 + 103*s**3 + 116*s**4 + 3 + 113*s**3 + 106*s**3 + 108*s**4 as z*s**4 + u*s**3 + m*s + y*s**2 + l and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 807929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 194329544?\nAnswer: 194329541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*i**3*k - 44*i**3 - i**2*k + 6*i*k - 4*i + 3*k + 200 wrt i?\nAnswer: -330*i*k - 264*i - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -i + 26, -28*n + 29*n - 2*i + 3 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 0, 4 in descending order.\nAnswer: 4, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/2))\/(z\/(z\/z**26))*(z*(z\/((z*z*z\/(z\/z**(-2\/11)))\/z*z))\/z)\/(z\/(z*z*z\/(z*z\/(z**18*z))*z)))**(1\/7) assuming z is positive.\nAnswer: z**(-139\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 5. Let d(n) = n - 4. Let v(g) = 4*d(g) - 3*z(g). Let m be v(1). Suppose -2*h = -3*o + 23, -4*h + m - 4 = 0. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(4752) + (-1*sqrt(4752) - sqrt(4752)) - sqrt(4752)))\/(sqrt(1331)*-4 + sqrt(1331)).\nAnswer: 23*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + c - c)*(-1 - 5 + 2)*(0*c**2 + 4*c**2 - 5*c**2).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -175*d**3*g*y + 3*d**3*y + d**3 - 635*d**2*g*y - d - 1632*y + 2 wrt g.\nAnswer: -175*d**3*y - 635*d**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 13. Determine g(-14).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 + -2)*3 - (3 + 0). Suppose 3*o - h = 18. Suppose 4 - o = -7*y. Solve -u + 8 = -5*u - 4*z, 2*z = -3*u - y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 352 (base 8) to base 13\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2982.61 - 2983. Which is the smallest value? (a) -0.4 (b) 0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -562, -18.5, 2\/3, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300839 is divided by 336.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 - 0.16. Let k be (3258\/(-54))\/((-4)\/1). Let r = 55\/4 - k. What is the third biggest value in r, -7, -0.4, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18526568*o - 20137072 wrt o.\nAnswer: 18526568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 10259. Let t(a) = -623*a**2. What is z(t(m))?\nAnswer: -623*m**2 - 10259","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from {m: 7, q: 1, h: 3, r: 1, s: 4, p: 4}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4087015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*z + 111*z + 84 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 - 503*r - 28313. Calculate y(-85).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-154)\/(-66))\/((-1)\/3). Let m be (108\/63)\/(1\/y). Let g be (-1)\/(((-5)\/15)\/((-2)\/m)). Which is smaller: g or 22?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, x: 4, k: 1, r: 2}. What is prob of picking 2 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4896*r. Let a(i) = -2*i**2. What is a(b(k))?\nAnswer: -47941632*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10478597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 7 = f, 3*r - 3*f - 4 - 2 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -72. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 3 (c) -11\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23646994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*d = -144, 248 = 3*i + 4*d + 31. Let y = i + -59. Suppose -3*t - 3 = -y. Sort t, 1, -1 in decreasing order.\nAnswer: t, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -41*v + 29. Let u(k) = -123*k + 95. Calculate -2*u(i) + 7*w(i).\nAnswer: -41*i + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 17, 7, -9?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t + 1. Let y be q(0). Calculate the highest common divisor of y and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9655024 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - d = 9*q + 16, -5*d + 20 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -79718\/9 or 0.095?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 220*h + 118. What is the remainder when 194 is divided by m(0)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*k + 3167 = -85*k - 4548 - 685 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1142*f**3 + 67704*f*i**2 - 138457024*i**2 wrt f?\nAnswer: -3426*f**2 + 67704*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -574*c**3 - 34*c + 34. Determine p(1).\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 7, -2\/13, 2\/15, 1629 in decreasing order.\nAnswer: 1629, 7, 2\/9, 2\/15, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -371356 (base 8) to base 15.\nAnswer: -27ca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 183 = 14*g. Suppose -g = -3*t - 7. Suppose -r - 3*r + 12 = 0. Solve 3*p + t = -r*k, -4*p = k - 3*k + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(48\/(-46)) - 5\/(-30). Solve 0 - s = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 0*d**6 + 0*d**4 - 18\/7*d**7 + 0*d**2 - 16 + 2\/3*d**3 + 0*d + 0*d**5. Find the third derivative of t(p) wrt p.\nAnswer: -2160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -y + 4, -4*y - 3*q + 22 = 6. Solve -y*o + 0*o - 12 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/995 and -2\/3383.\nAnswer: 16915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2. Let g(n) = 4*n + 977. Give g(k(v)).\nAnswer: 8*v**2 + 977","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 16*m**2 + 6*m - 8. Let l(q) = q**2 + q. Let a(t) = -6*l(t) - x(t). Is a(-11) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1227, -2468, -3709, -4950, -6191, -7432?\nAnswer: -8673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -82 - ((-1)\/(-1) - 2). Let c = -36 - q. Is 3*c - (3 + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 111\/4. Suppose 5*r - 9 = 4*c - 3, -3*c + 9 = 3*r. Which is smaller: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 - 363 = -5*c. Suppose -3*l - 2*g = 175, -5*g = -3*l - c - 109. Let j = 126 + l. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/6 and (8\/1328)\/(2\/(-24)).\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 2:05 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1574 - 1573. What is the third biggest value in u, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 326768 and 1079?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10200 and 8142575.\nAnswer: 195421800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 7:39 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 782161?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**33*f**(1\/19)*(f**9)**(-28) assuming f is positive.\nAnswer: f**(-4160\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 71985383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9. Let c be (20\/(-16))\/((-2)\/(-8)). Let p(l) = 2*l**2 + 11*l. Let y be p(c). Put w, y, 4 in ascending order.\nAnswer: y, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -165214, -165180, -165182, -165220?\n\"Answer: -18*o**2 + 88*o - 165284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1 + 1)\/(-3))\/(-2). Let f(n) be the first derivative of 3\/5*n**5 - 1 + 0*n**2 + 0*n**3 + r*n**4 + 3*n. Differentiate f(z) wrt z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2. Suppose 4*y = -16, 2*d - d - 12 = 2*y. Let f be 4\/3 - d\/(-6). Let k(o) = -2*o**2 + o**2 + 2*o**f. Give k(h(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n**3 - 2*n - 5. Let u(t) be the first derivative of 6*t + 1 + t**2 - 7\/4*t**4 + 0*t**3. Calculate 5*d(q) + 4*u(q).\nAnswer: 2*q**3 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t - 3*t + 4*t + (2 - 4 + 1)*(-2 + t + 2) to the form d + g*t and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -121, -181?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t + 2251 - 729 = -766. What is the highest common divisor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-18)*(-126)\/28.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + 21 - 7) + -15\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3 = -3. Suppose a = -2*t + 4407 - 1409. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 4. Let s = -3 + 9. Suppose o - s = 3*r + 9, -4*r - 16 = -o. Calculate the remainder when o is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**3\/3 + d**2\/2 - 23*d - 2. Let n = 3 - 6. Determine p(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -o + 29, -5*o - 7 + 17 = -2*w. Suppose 3*g - 125 = t, -o*t + 175 = 5*g + t. What is the greatest common factor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382109 is divided by 54523?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104 or 207\/2?\nAnswer: 207\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -2\/19, -11?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/318 and 24\/583.\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**2*m - 3*k**2*n - 10*k*m*n*q - 2*k*m*n + k*n*q - k*q wrt m.\nAnswer: -k**2 - 10*k*n*q - 2*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 202311 + -2?\nAnswer: 202304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.037503kg in grams?\nAnswer: 7037.503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4993575562 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/52*((-36)\/(-15))\/(-1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {w: 2, h: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -7. Let t(c) be the third derivative of 6*c**2 + 0 + 0*c + g*c**4 + 0*c**5 - 7\/3*c**3 + 1\/30*c**6. Differentiate t(a) wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36574*y**5 - 43227*y.\nAnswer: 731480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**2*w**2 - 320*a**2*w - 17*a**2 - 76951*w**2 - 1 wrt a.\nAnswer: 2*a*w**2 - 640*a*w - 34*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(112)\/(sqrt(4) - sqrt(4)*3)*6)**2.\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 276, 418?\nAnswer: 560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -13 (c) 26.1 (d) -2 (e) -1\/9 (f) -3\/5 (g) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c**2 + 1. Suppose -5*v = j - 19, 3 + 0 = -3*v + 3*j. Suppose 4*n + v = n. What is g(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-15) + 18\/(-15). Let l(g) be the second derivative of p - 1\/12*g**3 - 8*g + 0*g**4 + 1\/40*g**5 + 0*g**2. Find f, given that l(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 2*s**2 + 0*s**2 + (-1 - 1 + 1)*(-1 + s**2 + 1))*(4 - 4 - 2)*(4 + 0 - 3).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2508*n**4 - 1044*n**2.\nAnswer: -60192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 331049840 to the power of 1\/3, to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-12)*(399 + -1). Let w = a - -172. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 4*p + 2. Let n be y(-2). Let h = n - 0. Put -2, -1, h in descending order.\nAnswer: h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20598, -22360, -24122, -25884, -27646, -29408?\nAnswer: -31170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (15 - 9) - (0 - -5)) + 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -86, -127, -166?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8678 = 5*d - c, 2*d - 5*c = -174 - 3311. Let j be d\/(-40) + 21\/(-56). Solve -j*g = -48*g + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.04 + -8. Let z = 4.98 + -5. Let a = r + z. Round a to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38838.99 - -38579. Round i to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 9, -4*s + p + 27 = s. Solve -2*b = 16 - s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 0.6418.\nAnswer: -3.3582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.279 and -1642.\nAnswer: -8668.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.6376 + -3.28548. Let i = 0.00908 + d. Let y = -0.014 - i. Round y to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1188147.\nAnswer: 3, 17, 23297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-664)\/(-14))\/((-2)\/(-14)) is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0)*(13 - 2) + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 8*n**2 - 5*n - 86. Give s(-10).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**5 - u**4 + 10*u**3 + 10*u**2 - 9*u - 9 = 0.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-5.2903\nAnswer: 0.52903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 12, -5, -5\/6, -283 in decreasing order.\nAnswer: 12, 0, -5\/6, -5, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1394)\/68 - -25)*(-48)\/9.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108511621 divided by 5?\nAnswer: 108511621\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from bbuubbuubbbbu.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 8*g + 1. Let h be l(-3). Suppose h*q + 150 - 570 = 0. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 23*a - 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i - 1. Suppose -3*o = 13*t - 9*t - 36, 0 = -5*o + 5*t + 25. Suppose -2*r + 3*k + o = 0, 13*r + k = 10*r + 12. Give n(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 8 = -4. Suppose o + 3 = 5*c. Solve 0 = -c*p - 9 - 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 - 12*t**2 - 12*t - 12. Let x be g(-8). Let n = x - -408. What is the tens digit of n\/27 - (-2)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13559, -13633, -13757, -13931, -14155?\n\"Answer: -25*u**2 + u - 13535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 3*h**2 + 8*h + 6. Let i be p(-2). Let o = -165 + 164.9. Which is the biggest value? (a) i (b) -4 (c) 4 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m + 3. Let o(r) = r - 5. Let x be o(2). Let s(w) = -5*w - 5. Calculate x*s(a) - 5*g(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (162*g**3 - g - 76*g**3 + 113*g**3)*(2*g - g + 0*g).\nAnswer: 199*g**4 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -7 - -7 - 10) + 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1299, -1029, 19, 2235, 6009, 11731, 19791, 30579?\nAnswer: 44485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.456 - -0.042. Round d to two decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 53326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36671086 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2934*k + 32276. What is g(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 19*x + 17. Calculate s(20).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201116.\nAnswer: 2, 3, 7, 79, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 134807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 842701.506 rounded to the nearest 1000?\nAnswer: 843000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 751 + -749. Let c = -422\/5 + 84. What is the closest to c in -1\/8, -3, g?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -129\/4510 and 101\/146.\nAnswer: 329230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2)*(-2*r - 2*r - r)*(4 + 5*r - 9 - 3*r) to m*r + x*r**2 + y and give m.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5, 4 + 1 = 2*p - 3*o. Suppose -p*w - 4 = -5*w, 43 = h + 5*w. Calculate the remainder when 251 is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 - -35. Let x = 44 - l. Let n = x + -3. List the prime factors of n.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (437 + -434)\/(0 - 1\/(-2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 8*o - 2. Calculate f(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -18*l. Let v(m) = -m. Calculate -g(j) + 12*v(j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**6 - 8*d**3 - 75*d**2?\nAnswer: 120*d**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1 + 7*v - 4*v - 2*v + 0*v. Give o(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 8:19 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8*s + 27. Let t = 116 - 113. Let b be j(t). Solve b*m + 3*k = -15, 17 = -m + 3*k - 7*k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2*j + 4)*(156*j**2 + 303*j**2 + 297*j**2)*(5*j - 2*j + 2*j).\nAnswer: -7560*j**4 + 7560*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-171)*(16 + (-589)\/31).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 6154?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from iiiiiiiil.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Work out -497.03 * -3.\nAnswer: 1491.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 9*t**2 + 4. Suppose 5*i = -72 + 27. What is s(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/18)\/(2\/(1 - 3)) - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 0.114536.\nAnswer: -0.514536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 474018 and 10719.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316834*u**2 + 2 - 2 + 1587507*u**2.\nAnswer: 1270673*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 21, 1 in descending order.\nAnswer: 21, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-164)\/(-30))\/(((-8960)\/175)\/64)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71762846?\nAnswer: 2, 35881423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 8. Let o(w) = -4 + 3*w + 16 - 9 + 20. Let s(m) = 4*o(m) + 11*q(m). Is s(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4\/5 + 888*b**3\/5 - 45718*b**2\/5 + 123840*b = 0?\nAnswer: 0, 25, 32, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.22 + -0.02. Which is the third smallest value? (a) -0.1 (b) -1\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -11. Let p = 53 + m. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = -3*o + 5*p, -o + 371 = 2*o + 2*p. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u - 2*u - 4*u + u - u + 2*u - 3*u + 5*u + 0*u + (7 - 2 - 3)*(u + 0 + 0) + 5*u - 4*u + 0*u + (-4 - 2 - 3)*(u + 1 - 1) to h + t*u and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -46 - (-1 - -3 - 3). Let h = c - -6. Let f = 63 + h. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10630 + 10590. Sort 2\/3, w, 1\/47.\nAnswer: w, 1\/47, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -837 - 939*l + 228*l - 751*l - 830 + 1656 + (l + 2*l - l)*(-2 + 0 + 1).\nAnswer: -1464*l - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/4, -0.027, -1\/3, 0.4, 2\/3, 1062?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328485285?\nAnswer: 3, 5, 7299673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19424 by 2428.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5129 less than 22?\nAnswer: 22.5129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*g + 18, 67 + 3 = 5*v - 5*g. Factor 57 - 4*x**3 - 4*x**4 - 25*x - 32*x - 41 + v*x + 36*x**2.\nAnswer: -4*(x - 1)**3*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53.7000754 - -53.7. What is f rounded to six dps?\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*w - 1596 - 11137, -3*w + 9 = 0. What are the prime factors of z?\nAnswer: 2, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.3 - -4.7. Let t = p + -22. Sort t, -4, 1\/6 in ascending order.\nAnswer: -4, t, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u. Let m be (9\/(-3) - -1)*-1. Let o(c) = -3 - 2*c**m - 2 + 5. What is o(q(f))?\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 g when four letters picked without replacement from ogoxoxgoo.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**6\/120 + n**5\/16 - n**4\/8 - n**3\/6 + n**2 + 17*n. Find s such that x(s) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*n + 372 - 372)*(-3 + 2 - 3) + 3*n - 6*n + 4*n.\nAnswer: 105*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 382025395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -187, -351, -511, -625, -651, -547, -271?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 5 (c) -1.7 (d) 32\/3 (e) 1\/152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0028823149 rounded to five decimal places?\nAnswer: 0.00288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 202*u**3 + u + 990?\nAnswer: 606*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -228 - -1066. Let m = l - 816. What is the third biggest value in -0.2, m, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -8. Do f and -3\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, e: 5, z: 4}. Give prob of picking 1 z and 1 w.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 - (11 + 4 + -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0384, -4\/5, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (1*30\/(-35))\/((-3)\/23184)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*d - 22 = 0, -3*v + 23*d = 21*d - 24. Solve 0 = -5*b + 10, 3*p + v*b - 2*b = 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**3\/3 + 3*p**2\/2 + p - 5. Let l be x(-4). Solve -5*i + l + 0 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**18)*(o*o**(-2\/3)\/o)\/o assuming o is positive.\nAnswer: o**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**8\/840 + o**6\/48 + o**4\/4 + 12*o. Let d(q) be the third derivative of n(q). What is the second derivative of d(c) wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 146*i - 474. Let n be d(5). Solve 52*p + n = -12*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m = -11*m + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 10:34 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-190)\/(-60) + -10*5\/20. Suppose 2*q + 2*q - 12 = 0. Suppose -5 - q = -4*o. Which is bigger: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -13*b - 3. Is 6 a factor of i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, -5, 1\/3, 10 in descending order.\nAnswer: 10, 1\/3, 2\/21, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18192)\/(-60))\/(4\/10) - 2 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 5*d**3\/6 + 4*d + 14. Let o(p) be the first derivative of 3*p**2\/2 - 1. Determine o(b(m)).\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 1. Let s be w(4). Suppose 2*y = -5*z - 20, -3*y + 5 = -5*z - s. Solve -3*n - 2*n = y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -r + 3*h, 3*r = -4802*h + 4803*h + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2085, -2073, -2061, -2049, -2037, -2025?\nAnswer: -2013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -26. Suppose 2*o - 113 = -3*t, o - 152 = -4*t - o. What is the remainder when t is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -2387\nAnswer: 3\/2387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 11*i + 9*i - 2)*(-2 - 2 - 1).\nAnswer: -15*i + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n. Let s(l) = 0*l - 3*l + l. Calculate s(h(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65 and 25.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 24 = 19 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 186569533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**4\/4 + 8*x**3 - 33*x**2\/2 - x + 18. What is the units digit of w(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175 + 181. Let n(q) = 10*q + q - z*q. Give n(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1137*y**4 + 75733*y**3 - 45*y**2 - 1384387?\nAnswer: 27288*y + 454398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*a + 6, -3*a - 4*o - o + 33 = 0. Suppose -5*v = -n + 805, 3296 = a*n - 2*n - v. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -790387, -1580777, -2371167?\n\"Answer: -790390*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2.7, 0.2, -1.1, -0.2 in descending order.\nAnswer: 4, 2.7, 0.2, -0.2, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 20175\/2, -4\/5, -3\/7, 5.\nAnswer: -4\/5, -3\/7, 0, 5, 20175\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110 - -110111111101111110011?\nAnswer: 110111111101101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46993185 by 3921.\nAnswer: 11985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31936010?\nAnswer: 2, 5, 3193601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -263.2565 plus -0.54966896?\nAnswer: -263.80616896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 603 - 791?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 5.029. Sort -0.3, -2, a in descending order.\nAnswer: a, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -67, -88, -107?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000105851 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from {o: 1, y: 1, r: 1, m: 1, w: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -11*j + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39933120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, -8548 in ascending order.\nAnswer: -8548, -5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*c - 20\/9 + 2\/9*c**2.\nAnswer: 2*(c - 2)*(c + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 3*b - 26 = -3*d, -d = 4*b - 2*b - 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314*m - 9 = -317*m. Let c(w) be the first derivative of -3\/5*w - 3\/10*w**4 + 0*w**3 + 3\/25*w**5 + m + 3\/5*w**2. Solve c(g) = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/80 and -97\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8 - 5 = 2*p, w + p = -2. Let l(f) = 2*f - 31. Let m be l(6). Let d = m + 24. Solve 0 = 3*s + w*k, s + 5 = k - d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5011.849 litres?\nAnswer: 5011849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/5, 0.2, -8.\nAnswer: -8, -0.5, -2\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(108)*-1 - sqrt(108)) - 5*sqrt(3)*-2*3)**2 + 2)*-4.\nAnswer: -3932 + 432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2381 and 88?\nAnswer: -209528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 123 = -34*v. Let l = -6 + 8. Solve -l*i = 2*w - 14, -9*i + v*i + 30 = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = r - 101, 13*r - 10*r + 96 = 4*z. Let w = -3564 + 4424. Calculate the remainder when w is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -10277*n + 328772. What is j(32)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2*912\/114)\/(30\/3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -13*a - 127. Let d = 3013 - 3023. What is r(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8*k = 0. Solve 5 = -k*c - 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = q - 6, q + g - 3 = -1. Suppose 3*r + q = 7. Let j be (r + 1)*(6 - 5). Is 1\/2 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 17*o**2 - 10. Let q(i) = -i. Calculate q(x(p)).\nAnswer: -34*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3145, 6292, 9441, 12592, 15745, 18900, 22057?\n\"Answer: u**2 + 3144*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/2 + 3*i**2\/2 + i.\nAnswer: i*(i + 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 8, -4 + 0 = -f + 2*o. Let s = f - -14. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 90a?\nAnswer: -916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 314241 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(-12 - 175\/(-15)). Let y(m) be the third derivative of q*m + 0 - 5\/6*m**3 - 7*m**2 + 1\/60*m**5 + 1\/6*m**4. What is y(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1477 - 1475. Let h be 60\/(-2)*(-4)\/(-10). Let d be ((-9)\/(-6))\/((-9)\/h). Solve f*p + d = 0, 3*p + p = 5*x - 29 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-3 - (3 + -5) - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -133\/4. Let u be (10 + -5)*4\/(-10). Let q be u + 3*8\/12. What is the nearest to k in q, 4\/7, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2200112122 (base 3) in base 7?\nAnswer: -310115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*p**5 + 44*p.\nAnswer: 820*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 4. Let d = l - 15. Suppose -4*b = 2*x - 22, -4*x + 20 = 5*b - 3*x. What is the greatest common factor of b and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - k**2 - k + 5. Let x be r(4). Let z = x + -9. Suppose -z = 3*h + 5*g, 5*g - 10 = -35. Put h, 0.2, -0.4 in descending order.\nAnswer: 0.2, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5921536 milligrams to grams.\nAnswer: 0.0005921536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*l = 7*l - 12, -40 = -5*c - 5*l. Sort c, -1\/5, 2\/5 in ascending order.\nAnswer: -1\/5, 2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*m + 30 = -250*m. Sort 5, -32, 3, m in decreasing order.\nAnswer: 5, 3, m, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348 and 18?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h - 9. Let f be r(7). Suppose 2*s + 0*s - 2*t = 1104, 0 = f*s - 3*t - 2760. Suppose -13*y = -9*y - s. List the prime factors of y.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 86 = -4*c, 0 = -1089*d + 1047*d - 756 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -8*k + 149. Suppose 3*c + k = 30. Which is smaller: 33\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-5 - -9) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tuuuoutootootttot. What is prob of sequence toto?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.24 - -0.04. Let s = v + 0.12. Let p = 0.5 + -4.5. What is the nearest to 0.2 in -3, s, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2630 or -2632?\nAnswer: -2630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 8:49 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1564 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 2*x - 0*x. Let o(d) = -71*d - 97. Let z(j) = 36*j + 47. Let m(t) = 2*o(t) + 5*z(t). Let k be m(-1). Calculate the highest common factor of x and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/31))\/x*x\/x**16)\/((x\/x**(4\/7))\/(x**(-9\/7)\/x)) assuming x is positive.\nAnswer: x**(-3837\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3)*(-2 + 95). Suppose -3*z - n = 4*y, 2*y + 15 = -3*z + 4. List the prime factors of 24\/y*(-10)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 19. Let u be 16 + -3 + (-5 - p). What is the first derivative of -17*w - u*w + 30*w - 11*w - 3 wrt w?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65732 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 259, 54, -515, -1622, -3441, -6146, -9911, -14910?\n\"Answer: -29*o**3 - 8*o**2 + 22*o + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-7 + -1 + 1) - -8 - 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 183*g**2 - 175*g.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -533?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -238.\nAnswer: -166.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.7 - 708.\nAnswer: -690.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -2*o + 12, 2*z - 3 - 5 = -4*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2349892068?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) + 3\/12. Solve -d + j*d**4 - 2*d**4 + d**4 + 0*d**3 + d**3 + d**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14158.\nAnswer: 2, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**6\/60 - d**5\/15 - d**4\/12 + d**2. Let q(r) = -r + 5. Let w = 4 + 3. Let n be q(w). Determine l(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*a**3*f**2*j - a**3 - 2202*a*f**2 + 17677*a*j + 2*j wrt f?\nAnswer: -56*a**3*f*j - 4404*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1680, 3, -3, -0.32 in increasing order.\nAnswer: -1680, -3, -0.32, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((-589)\/(-4712)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**5 + 1863765*i**4 - 1863768*i**3.\nAnswer: 3*i**3*(i - 1)*(i + 621256)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31122320 (base 4) in base 14?\nAnswer: 16064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 137241 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 189037*k - 94523*k - 94518*k - 28. Let c(y) = 5*y + 28. Give -2*c(m) - 3*h(m).\nAnswer: 2*m + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i**(-2\/9))\/i)**(22\/9)*(i\/(i*i\/(i**(2\/11)*i)*i))\/i**5)\/(i**(-4\/5)\/i**(-7)*(i\/(i\/i**(-1\/4))*i)**(1\/19)) assuming i is positive.\nAnswer: i**(-3438761\/338580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 4*k - 2. Let b(j) = -j**3 + 10*j**2 - 4. Let q be b(10). Let a be -1*3 + (q - -12). What is x(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11) + -2 + -2*sqrt(99) + sqrt(99))**2.\nAnswer: 8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -23.02.\nAnswer: -20.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44760 and 29840?\nAnswer: 89520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/5? (a) 16 (b) -0.4674 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -48*y**2 + 52*y. Let w(k) = -22*k - 16*k + 66*k - 25*k. What is w(m(x))?\nAnswer: -144*x**2 + 156*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-2 - 2\/(-2)). Let y(h) be the second derivative of h + 1\/2*h**2 + 1\/6*h**b + 0 + 0*h**3. What is the derivative of y(n) wrt n?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/13)*x)**(-29\/4))**(-36) assuming x is positive.\nAnswer: x**(3915\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12863*i + 12672*i = -12224 for i.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101367121\/10 - -10126467. Let o = 10235 + w. Calculate the common denominator of o and -39\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 55 = 2*n. Let p = 19 - n. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19569 or -371836\/19?\nAnswer: -19569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -3928, 0.5, 2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8 = -4*t, 5*y + 2*t + 0*t = 4. Suppose y = -5*k + j + 27, 0 - 8 = -2*k - j. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/7)\/w**(-6))**(-25)\/(w*w**(-5)*w\/w**(-2\/15)*(w\/(w**1\/w))\/(w*w**(-4))) assuming w is positive.\nAnswer: w**(-16244\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -735*d + 378. Let g be o(0). Calculate the greatest common factor of g and 864.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.0846 + 0.0154. Let i = f - 22. Which is the third biggest value? (a) 0.1 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8814037 to the nearest integer?\nAnswer: 2969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3683\/(-762) - 4223\/(-618)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 9*g + 8*g + 5 to n + k*g and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -170 - -182. Let a be 5 + 6\/(6 - r). Which is bigger: 5 or a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1909*x + 445 wrt x?\nAnswer: -1909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(7163\/(-386802)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in sixty-seven quarters of a micrometer?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 14 = -5*g + g, -5*r + 10 = 4*g. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113 - -115. Let m be (-4956)\/(-1668) + -2*3\/t. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 844 a factor of 1314579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1562110659 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 0*z**6 + 0*z**4 + 0*z**5 + 1\/14*z**7 + 0*z**2 - 2*z - 1\/2*z**3 + 0. What is the second derivative of f(g) wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 27*r - 5*r**3 + 11*r**3 - 19*r + 100*r to the form d*r + f*r**3 + z*r**2 + t and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1158 is divided by 610.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p = 25*p - 822. Let w = -110 - p. What is the remainder when w is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 1107*y - 1062*y. Let i = -2 - -4. Solve -i*b - y = -1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*x + 8 = -0*a, -3*a + 4 = -4*x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1175923654 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 52, 74, 104, 142, 188?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(48\/252*((-45)\/4)\/(-15))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0\/d)\/d)\/(d*(d*d*(d\/(d*d**11*d))\/d)\/d))**39 assuming d is positive.\nAnswer: d**351","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 0*c + 1\/60*c**5 + 4*c**2 + 0 - 1\/6*c**3 + 1\/24*c**4. Does 11 divide p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18696*h**4 + 1604 wrt h?\nAnswer: 74784*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 117978979 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4282.595mg in grams?\nAnswer: 4.282595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(18) - 1*sqrt(3520))\/(sqrt(495)\/(sqrt(176) + sqrt(11) - sqrt(11) - sqrt(11))).\nAnswer: -23*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255243 divided by -1?\nAnswer: -255243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 111 + 104 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, n: 13}. Give prob of picking 4 n.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0, -8 in increasing order.\nAnswer: -8, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.013482 and -0.4?\nAnswer: -0.0053928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 3*h - 7280 = 0. Let d be (h\/(-39))\/((-2)\/(-18)). What is the highest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/10*(7 + -1). Suppose 31 = 4*n + n + 2*f, 0 = 5*f - g. Suppose n*l - l = 508. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*a - 147*a - 7170 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-195)\/5*7\/(-3). Suppose s = 2*s - w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3948130.\nAnswer: 2, 5, 394813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4021231 (base 5) to base 6.\nAnswer: 1212005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 19.188936\nAnswer: 1.9188936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 at most -798\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6965.8 - 6966. Which is the second biggest value? (a) -4 (b) -0.5 (c) -45.9 (d) 4 (e) y\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1696*h - 5385 = 3095 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 336294956 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(176))*-3 - (sqrt(176) + (sqrt(176)*1 - sqrt(176))*-6))**2*-5 - (6*-2*sqrt(1331) + (sqrt(1331) + (1 + sqrt(1331))*1)**2 + sqrt(1331))*-1.\nAnswer: -8800 - 557*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**2 + 205*m - 37. Calculate c(34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 3, 4*q - 219 = -3*s - 210 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssrnrrsr. Give prob of picking 1 s and 2 r.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1\/((1\/(-3))\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183070, 181065, 179058, 177049?\nAnswer: 175038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3139*x + 336*x + 243861 = 0 for x.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4762 + -38021\/8. What is the common denominator of m and 13\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 12, x: 4, c: 2, r: 2}. What is prob of picking 1 x and 1 r?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a + 10 = 26*a. Suppose -2*g = -a*g + 4*z + 36, -3*z = 4*g - 48. Find the first derivative of -20*j - 15*j - g*j + 35*j - 6 wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3783 - -3825. Suppose -m = m - 84. What is the greatest common factor of k and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/351 - -1033\/7020. Let j(u) be the second derivative of -6*u**2 - a*u**5 - 4*u**3 - 5\/4*u**4 - 4*u + 0. Find s such that j(s) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.23406 - -0.304417. What is o rounded to 4 decimal places?\nAnswer: 0.0704","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/5*s**5 + 0*s**2 + 0*s - 2\/5*s**3 + 0 - 13\/5*s**4.\nAnswer: -s**3*(s + 1)*(11*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -552 - -552. Let j be 1*3\/9*6. Let v(m) = 6*m**2 - 4*m**j + m**3 + m - 3*m**2 - 2. Give v(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen eighths of a week?\nAnswer: 16380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 771*d**3 + 2*d**4 + 1 - 26 + 40*d**2 - 395*d**3 - 377*d**3 as t*d**4 + w*d**3 + c*d**2 + b*d + h and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86633 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**5\/60 - 11*m**3 - 105*m**2. Let k(f) be the first derivative of t(f). Let d(x) = x - 10. Calculate d(k(o)).\nAnswer: 2*o - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109018 and 83200.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3564, -3558, -3552, -3546?\nAnswer: -3540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + (-4)\/(-8)*6 + 4. Suppose 17 = d*c - 73. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 24. Suppose -5*x - 52*k - 31 = -50*k, 2*k = 5*x + 19. Let u(f) = -5. Let j(m) = x*u(m) - n(m). Let t(v) = 5*v. What is -3*j(a) + t(a)?\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2 - 336*s - 6956 = 0.\nAnswer: -47, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 11:52 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0 + 0)*(-i + 19*i**2 - i**2 - 21*i**2) + 7 - 5 + 6*i**3 - 3*i**3.\nAnswer: 9*i**3 + 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/37524 and -103\/16735704?\nAnswer: 16735704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/40)\/(((-50)\/(-80))\/5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 16*m**2. Suppose -12 = -21*c + 72. Let k(j) = -c*j**2 - 2739 + 5*j**2 + 2739. Determine k(b(f)).\nAnswer: 256*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -88\/37 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/21 + (-4)\/(-14). Let f(a) be the third derivative of a**5\/12 + a**4\/8 + a**3\/2 + 2*a**2. Is f(q) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 1462 = 56*d - 0*d - 970 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 284 - 282. Let o(s) = -s**3 + 10*s**2 - 21*s - 12. Let n be o(4). Let d = -1 - -5. Solve d*h - i + 22 = n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + i = -111, -2*i = -4*j - 7*i + 83. Suppose j = 4*x - 10. What is the second derivative of 3*c**5 - x*c**3 + 8*c**3 + 3*c wrt c?\nAnswer: 60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 5*v - 4. Let c be s(3). Suppose -c*q + 16*q = 112. Suppose -3*z - q = -5*d + 8, -4*z + 12 = 0. Solve 2*m - d = -1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 20. Let y(q) = -19. Determine 2*r(c) + 3*y(c).\nAnswer: -2*c - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 411743, 823597, 1235451, 1647305?\nAnswer: 2059159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*z - 6*z + 45 = 0, -4*m - 5*z = -60. What is the hundreds digit of (21\/m)\/((-2)\/(-370))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 0. Let z = s + -10. What is the closest to 0.1 in 0.2, 1, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5381 + -5243. Suppose -o = -4 - 14. What is the smallest common multiple of s and o?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/2*-4 - (-451 - -19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a**3 - 6*a**3 + 8*a**3)*((-1 + 2 + 1)*(-3 + 13 - 3) - 2 + 0 + 0).\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1869971 + -743652. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333434993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 11:35 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39698455 + 212.\nAnswer: -39698243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 62?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6276 a factor of 337353085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34731763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -1) + (-93)\/(-3). Is (-3 - -2) + 11*t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212121101001201 (base 3) to base 15\nAnswer: -117c257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nknnnnjnnnnknn. What is prob of picking 1 n and 1 k?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epe when three letters picked without replacement from {z: 1, d: 5, p: 9, e: 4, s: 1}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-162)\/(-4 + (5 - (-25)\/(-10))). Let o = 526 - b. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1001481775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*122\/(-42) - 5 - 4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 7:33 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 369 and 1289901.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16892876551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 - (-89 + -58 + -21)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2\/13 + 118*c\/13 - 244\/13 = 0.\nAnswer: -61, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 + 105.0000002. Round j to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 15 = -5*m, 5*w - 970 = -m - 979 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/109610 and 41\/10170?\nAnswer: 986490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 5 = -21*u. Let o be 4 + u - 309*7411. Round o to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12174710 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 65005096593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 4.2 (c) 0.5 (d) -2 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 13*p**2 - 14*p + 2. What is c(-12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 5*i**2 - 11*i + 19. Suppose 15*s - 616 = 43*s + 60*s. Determine a(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.53897 and 52733.\nAnswer: 52733.53897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 1. Suppose 0 = 3*g + 9 - 87 - 54. Calculate the smallest common multiple of g and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 1\/4*a**4 - 4*a + 1\/14*a**8 + 0*a**2 + 0*a**7 + 0*a**3 + 0 + 0*a**5 + 0*a**6. Find the third derivative of f(b) wrt b.\nAnswer: 480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4293 divided by 664?\nAnswer: -4293\/664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (729\/891)\/((-2)\/(-22)). Solve -2*s - 5*k = -4, 3*s + k = -3 + n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 558 = v + 198. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 72 = -7*s. Let t be 4\/(-18) + 2\/s. What is the nearest to 2 in -0.5, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109064 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4690236 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -6)*15\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.925 rounded to 1 dp?\nAnswer: -43.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3505906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1a0 (base 14) to base 16\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 11 - (0 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - m + 0*m)*(2*m**2 + 2*m**2 - 3*m**2) + 0 + 0 - 2*m**3 + 0*m**3 - 2*m**3 - m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w - 23*w - 10 = 0. Suppose -6 = 3*b - 6*b. Let h(v) = -v + 1 - v - b*v. What is h(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 + s**2 + 21*s. Is 40 a factor of j(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1169049.902 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -4, 3, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 2, h: 4}. What is prob of sequence hcm?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22773436 - 137*m**3 + 22773436.\nAnswer: -137*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 10 = 2*y + 24, 0 = -2*r - 3*y + 9. Calculate the lowest common multiple of 663 and r.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 37.8. What is the biggest value in -5, -2, -7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/6)*g\/((g*g\/(g**4\/g))\/g)*g*g**3*g*g*g**(-5)\/g)\/((g\/(g\/g**(-1\/10)))\/g*g**(-2\/25)*(g**4\/g)\/(g**(-2\/11)\/g)) assuming g is positive.\nAnswer: g**(-689\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 - 2*q + 1. Calculate w(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.72 - -0.08. Let i = g + -0.9. Let t = 13 + -13.2. Which is the third biggest value? (a) t (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 8:36 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -316, -2543, -8578, -20323, -39680, -68551, -108838?\n\"Answer: -317*z**3 - 2*z**2 - 2*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757760.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8 = -3*o + 48, -2*o = 4*m - 20. Suppose -3*r + 5*j + o = -11, 0 = r + 4*j + 18. Solve -4*k - 12 = 0, 0 = -0*i - r*i - 3*k - 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2218838.5 to the nearest ten thousand.\nAnswer: 2220000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*f - 6. Suppose 3*p - 4*c - 17 = 0, f*c = 5*p + 2*c - 17. Solve p*a = 7*a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, l: 11}. What is prob of sequence tt?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 24, 15, -12, -63?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -124, -129?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 3*b. Let y be n(-3). Let i(k) = -k + 5*k + 0 + y. Let f(j) be the second derivative of j**3\/6 + 7*j - 20. What is i(f(s))?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3602555679*m + m**3 - 3602555679*m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/3 (b) 0.06 (c) 1\/3 (d) 26 (e) 2 (f) -0.5 (g) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a + 3*a**3 - 3*a + (3 - 3 - a**2)*(4 + a - 4) - 3*a**3 + 4*a**3 + a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 5*g + 331, -d + 3*d = 3*g + 149. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 467038056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -514830 by 6.\nAnswer: -85805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*w**4 - 147*w**2 + 128*w - 2 wrt w.\nAnswer: -60*w**2 - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, q: 1, c: 3}. Give prob of sequence qcc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + 15. Let m be v(-10). Which is smaller: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10248325 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 441602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-13\/4)*u)\/u)\/(u\/u**(7\/4)))\/(u**(3\/17)\/(u\/u**(-36))) assuming u is positive.\nAnswer: u**(711\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, -70, -240, -572, -1120?\n\"Answer: -9*g**3 + g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1563844646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1011120010022 (base 3) to base 11\nAnswer: -394795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3138 = -5*u + 22. Calculate the greatest common divisor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*j + 8*j + 3*j + 10*j.\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*d - 49, -44 - 42 = -5*q + d. Sort -4, q, -2 in descending order.\nAnswer: q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2)*(-3 - 1). Let n be -2 - (6\/(-2) - b). Find s such that -s**2 + 11 + s + 2*s**5 - 11 - n*s**3 + s**4 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 334246, 1336977, 3008196, 5347903?\nAnswer: 8356098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m - 186 = 0. Let a = -38 - -54. Calculate the smallest common multiple of m\/4 - (-1)\/(-2) and a.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, h: 3, s: 1}. What is prob of sequence hs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2602673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**2*x**(1\/6))\/(x**(-2\/3))**13)\/((x\/x**(-1)*x)**(-3\/31)*x**(-1\/2)\/(x\/x**(-5\/4))) assuming x is positive.\nAnswer: x**(4045\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4*f = 14533 - 14561, -5*f - 33 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -378, -7, 0, 3.\nAnswer: -378, -7, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(13) - (sqrt(832)*2)**2 - (-3 + sqrt(117)*3)**2*5.\nAnswer: -8638 + 272*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 689672, 1379284, 2068874, 2758430, 3447940, 4137392, 4826774?\nAnswer: 5516074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12881 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k + 50. Suppose -k = 4*z - 289. What is the highest common factor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 13*h - 17. Let x be z(8). Solve -x = 4*i - 0*i + v, -4 = -2*i + 2*v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 109*p**2 - 106*p + 10. What is the thousands digit of u(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 1:19 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66 in 1\/7, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -4, 37, 116, 245, 436?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3045 by -609.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2471.822 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 12:24 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*d = 29, -c + 0*c + 5*d = -7. Suppose -2*s + c = -s + 5*n, 0 = 3*s - 4*n + 10. Suppose 2*f + s = 3*f. Solve f*p = -0*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.6 + 17.8. Let x = -43 - -31. Let v = x + 15. Which is the nearest to 2\/3? (a) 2 (b) v (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (342\/4560)\/((-2)\/(-10)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 + 39 + (-74 - -50)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*n + 387 = -629 - 964 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4 + 0)\/(176\/44).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 620866.\nAnswer: -21\/620866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*m + m - 18 = 0, 0 = y + 3*m + 12. Let t(s) = -s**2 + 3*s + 3. Determine t(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*v + 166*v - 187. Let u(y) = -19*y + 1. Let w(k) = -k - 1. What is v*u(c) - w(c)?\nAnswer: -18*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1119 + 1129. Which is the second smallest value? (a) p (b) -0.5 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**3 - 27*c**2 + 15*c + 10. What is n(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 80 - 154*s - 11.\nAnswer: -154*s + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 137 divided by -2488\nAnswer: -137\/2488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 13*j. Let z(a) be the first derivative of -5*a**2\/2 - 111. Calculate z(u(i)).\nAnswer: -65*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - v - 8*v - 32 + 32 + (-5*v + 2*v + v)*(3 + 3 - 4) + v - 4*v + 2*v + 14 - 14 + 7*v - 9*v + 11 - 11 - v + 4*v - 2*v.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*x**5 + 3952*x**4 - 2712288*x**3 - 291245272*x**2 + 333195492*x - 39241944 = 0. Calculate x.\nAnswer: -147, 2\/15, 1, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-45)\/2)\/(20\/(-528000)). What is u rounded to the nearest ten thousand?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0. Suppose 194 = 4*k + 3*h, 5*k + 3*h - 123 = 118. Suppose 64*n - 17*n = k. What is the biggest value in -0.11, n, 0.1, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -116*h - 2*h**2 + 116*h. Let c(x) = -x**2 + 2*x + 1. Let s(k) = -140*k**2 + 112*k + 56. Let g(m) = -56*c(m) + s(m). Give a(g(b)).\nAnswer: -14112*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*n - 19117, -20673 = 2*b - 5*n - 58897. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46992 divided by 264?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 16*g - 13. What are the prime factors of u(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*n**4 - 146.\nAnswer: -132*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.67565 to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3166.979 + -3171. Let q = -28.921 - -28.9. Let j = q - i. Which is the second biggest value? (a) j (b) 2\/15 (c) 0 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -237 + 2?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1452 and 748.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 4*k**5\/35 - 4*k**4\/7 - 4*k**3 + 467. Factor y(n).\nAnswer: 4*n**2*(n - 7)*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 325464*m**2*q*r**4 - m**2*r**4 - m**2*r - 8*m*q*r**2 - 17571*q*r**2 wrt r?\nAnswer: 7811136*m**2*q*r - 24*m**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 11547432.4 to the nearest one hundred thousand.\nAnswer: 11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 5:10 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -40, -148, -334, -604, -964, -1420, -1978, -2644?\n\"Answer: -d**3 - 33*d**2 - 2*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42449 and 3178.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 103 from 796.892.\nAnswer: 693.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -12018*p**2. Let g(s) = -35*s**2 + s**2 + 23*s**2 + 7*s**2 + 3*s**2. Give g(i(o)).\nAnswer: -144432324*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 181542203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 188\/141 - (-65)\/(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 0*r - 11 = r, -5*v + r = 25 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 592, 598, 604, 610?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**4 - 39*q**3 - 125412*q**2 + 525199219*q.\nAnswer: -24*q**2 - 234*q - 250824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/1)\/(3\/27*-39). Let f be 1269\/(-48)*(-2)\/39. Let d = f + u. Find the common denominator of -41\/20 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwwaffwffwfwffffwfwf. What is prob of picking 1 f and 1 a?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of -16142*(-14)\/364 + 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52442095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 20 = 5*a. Let g be (1*3)\/((-2)\/(-10)). Suppose 0 = 5*x - g, 3*d = x - 1 + 4. Solve -d*h - 8 = 2*w + w, -a*h = w + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 54. Suppose -z + 2*z + 4 = 4*n, -2*n = 5*z - h. Calculate the lowest common multiple of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.22, -2, 20.064, 3\/5, -1\/10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 - 19*x**2 - 38*x + 35. What is the units digit of c(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23409)\/(-486) + -45)\/((-1)\/3)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7174 divided by -249.\nAnswer: -7174\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 165\/(-105) - 3\/7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9532932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1300131 - -3?\nAnswer: -1300122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*w - 7. Let l = w + 3. Suppose -u + 1 = -0*z - l*z, 5*u - z = 23. Solve 4*x = -x + u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 8*i**2 - 10*i + 5. Let s be x(-9). What is the common denominator of 133\/6 and (7\/4)\/(s\/35)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140*m**2 - 39*m**2 + 553*m**2 + 198*m**2 - 2 to the form z*m + g*m**2 + t and give g.\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, -2, -11, 22?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 2. Suppose r - 1 = 1. Suppose -2*c - 4*s + 24 = 0, 2*s - 4 = 3*c - r*s. Let j(t) = t + 1. Calculate c*j(p) - 2*l(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -444, -565, -780, -1101, -1540, -2109?\nAnswer: -2820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -824 by 2.\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 - (-23 - (-35 + 55 + -22)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/(-15))\/(6\/(-15)). Suppose 3*w = x - 2, s*w + 11 = -x + 4*x. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*o = 214*o - 9691. List the prime factors of o.\nAnswer: 11, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/648 and 7\/40608.\nAnswer: 121824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 2, d: 1}. Give prob of sequence ld.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s + s**4 - 62*s**2 - 58*s**2 + 121*s**2 - 2*s**3 - 2 in the form o*s**2 + a*s + l + q*s**3 + r*s**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 - 4*a**2 + 297 - 95 - 99.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1279 (base 10) to base 9.\nAnswer: -1671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**3 - 2*c + 3*c - 2*c + 9*c**3 to the form h*c**3 + v + a*c + l*c**2 and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 633?\nAnswer: 1899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 26. Suppose h + d*k = 0, -h = 2*h - 4*k. Let i = 0.01 + 0.06. What is the second smallest value in h, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 190*w**6\/3 - 146*w**4\/3 + w - 396. What is the third derivative of z(m) wrt m?\nAnswer: 45600*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1573922 divided by -1843\nAnswer: -854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537848404.\nAnswer: 2, 6037, 22273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.2 in -4, 5, 0.3, 3, -27148\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -621378, -1242763, -1864162, -2485581, -3107026, -3728503, -4350018, -4971577?\nAnswer: -5593186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9154681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*q**2\/5 + 13428*q\/5 + 84128\/5.\nAnswer: (q + 1912)*(7*q + 44)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37462 - 29011. Calculate the greatest common divisor of 27 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 11:26 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19721, -26923, -34125, -41327, -48529?\n\"Answer: -7202*b - 12519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/5, 3\/278, 1\/3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*p + 664 + 667 - 56*p - 1331.\nAnswer: 153*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3547?\nAnswer: 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + (-1*sqrt(114) + sqrt(114) - sqrt(114) - sqrt(114)))*-5)*6)\/(sqrt(24)\/((sqrt(4) - 2*sqrt(4))*-3)).\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -5212\/985?\nAnswer: -5212\/985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - g - 11. Suppose 14*b - 98 + 12 = -44. What is d(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-316)\/(-10))\/(((-12)\/(-30))\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 17*u. Suppose 3 = 3*r - 4*r. Let f(c) = 3*c**2 + 33*c. Let q(g) = r*f(g) + 7*a(g). Find the second derivative of q(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26990 is divided by 223?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 2.87\nAnswer: -51.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 11) + (-4)\/(-2). Let r = w - -15. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(21)\/(sqrt(3) - -6*sqrt(27)).\nAnswer: 5*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 166 - 209 - (8 + (-3 - 1) + -10)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = -2*o - 20*u + 22*u - 113, -5*o - 38 = -4*u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/20 - 528\/(-160). Let j = -5 + 10. Put u, 12, j in increasing order.\nAnswer: u, j, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -43, -44, -45, -46?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 5.5?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.30000091 - 0.3. Round d to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 54, 68, 96, 144, 218, 324, 468?\n\"Answer: x**3 + x**2 + 4*x + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -13, -1 in descending order.\nAnswer: -1, -13, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33913 is divided by 889?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5795\/8 + 722. Find the common denominator of v and -4 - 2*(-261)\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-4)*((-884)\/65)\/(18\/(-30)). What is the third biggest value in 3\/2, 0.4, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 17*y - 21*y + z, 0 = 6*y + 3*z + 21 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 9:58 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 5*d**2 - 3*d + 3. Let h be o(6). Suppose 0 = -2*x + 1 + h. Suppose -5*u = x - 41. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Is -3 - (3 + -499)\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 - 136\/(-24). Suppose 0 = -r*g - 2*v + 45, 3*v - 8 - 14 = -g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iseisseeosfessiss. What is prob of sequence iif?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*3*3)\/sqrt(12) - ((sqrt(7) - (sqrt(63)\/sqrt(9) + 1)) + 4))**2.\nAnswer: -54*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2.2978172 * -0.5\nAnswer: -1.1489086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((4*sqrt(120)\/sqrt(5))\/((sqrt(72) + sqrt(8))*3))**2*-4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 8*r + 76, -62 = -4*c - 2*r + 62. Solve -5*q - 5*o = -c, 6*q + 4*o - 34 = -0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 483831 * 8.54\nAnswer: 4131916.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*f = 5. Suppose 5*x - 6 = 3*o, -2*x + f*o - 6*o = -9. What is the remainder when (-2)\/(-4) + 62\/4 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -2*o + 4*h + 193, 2*o - 2*h = 262. Suppose 9*j = 30*j - o. What is the least common multiple of j and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 65 - 2f?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -27*k + 13. Let n = -45 + 41. List the prime factors of z(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 - 11?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 1:48 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -53021*b + 424154. Calculate j(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67454*y**2 + 16*y - 450.\nAnswer: -134908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78\/2633551 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5505466 + 4?\nAnswer: -5505462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 370 - 158 = 0. Suppose -37*n + 38 = -35*n. Calculate the remainder when s is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6666 + (0\/(-1)*-1 - -2). Let r(w) = 35*w - k + 6668. Let p(c) = 2*c**2. Calculate p(r(l)).\nAnswer: 2450*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*t + 313*t**3 + 182 - 107*t - 309*t**3.\nAnswer: 4*t**3 + 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182133.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b - 2*b + 0*b)*(-35*b - 14*b - 56*b) as x*b + h + i*b**2 and give i.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3211 + 11?\nAnswer: -3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 205, 303, 439?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 + 0 + -1 + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8359*w. Let j(a) = 8*a**2. Determine j(o(s)).\nAnswer: 558983048*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1*1\/((-4)\/(-16)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 3:18 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d - 23*d - 22682 - 101302 = 0. What are the prime factors of d?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216620 = 6*s + 58802. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-400)\/(-704))*(-5)\/(-8)*4*1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 61. Let p = 0.169 - -6.731. Let j = -7 + p. Which is smaller: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1328 is divided by 332?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 135.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 943549877 to the power of 1\/3, to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -335*w**3 + 2*w**2 - 8*w + 4. Let u be k(3). Let p = -4011 - u. Suppose -2*z + p = 2*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-f - 1 + 1) + (1 - 4 - 7)*(4 + 2 + 0)*(-2*f - 3*f + 2*f).\nAnswer: 179*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98*g**4 - 27*g**4 + 34*g**4)*(13*g + 0*g - 6*g)*(-4 + 0 + 3).\nAnswer: -735*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 526909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 22 = -2*g. Let y be 2\/g + 306\/39. Let s = -5 + y. What is the remainder when 8 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/3 + 2456*m**3\/3 + 114868*m**2\/3 + 568288*m\/3 - 6538560 = 0. Calculate m.\nAnswer: -28, 10, 2502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -2\/63 (c) 5774 (d) 3 (e) 5 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -v - 42. Let d = 102 + v. Let k = -5 + d. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y + 3*y)*(-19*y + 19*y + y**4 + 2*y**3).\nAnswer: 2*y**5 + 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -322, -1319, -2992, -5341, -8366?\n\"Answer: -338*f**2 + 17*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 2.272?\nAnswer: -0.02272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -43 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*u + 16 = 2*c, -4*c = -2*u - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -21*l**3 + 6*l**2 - 7*l - 6. Let b(s) = -s**3 - s**2 + 1. Let z(j) = -6*b(j) - m(j). Find the second derivative of z(w) wrt w.\nAnswer: 162*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b8c - -82a?\nAnswer: 54b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + 0?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/11)*h*h*h*h\/((h*h**(-4\/9))\/h)*h)\/((h\/(h*h**(-2\/5))*h)\/h**(4\/3)) assuming h is positive.\nAnswer: h**(3247\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*d + d. Suppose 0 = -23*u + 20*u + 9. Suppose -t - u*z + 14 = -0, t - 2*z - 24 = 0. What is the highest common factor of d and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 315 = -81. Let d = -25 - a. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4709 and 56.\nAnswer: -263704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -585*a + 3426. What is the remainder when g(0) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -13*o**3 - o**2 - o. Let r be p(-1). Suppose -r = -5*z - 3. Solve 4*a - z*a + 6 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 520*d**4 - 578 wrt d?\nAnswer: 2080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8288 and 6.\nAnswer: 24864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/56*21\/18?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -1610*k**2 + 92*k. Let h(r) = -87*r**2 + 5*r. Give 92*h(g) - 5*y(g).\nAnswer: 46*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*a**4 + 5*a**3 + 973*a**2 + 34*a - 1058*a**2 + 2*a + 14*a = 0 for a.\nAnswer: -2, 0, 5\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84230, -84370, -84510?\nAnswer: -84650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3724245 divided by 1689\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 20 = -4*u, -3*l + 17 = 2*u + 4. Suppose 49*m - 12 = 51*m. Let j be m\/(-14) - ((-59)\/(-7) - 5). Put -1, j, l, 0 in decreasing order.\nAnswer: l, 0, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 5:18 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n + 3*t = 5, 2*t = -2. Suppose 15 = -165*o + 170*o. Let g(x) = -x**3 + x**n + 3*x + x**2 + 3 - o*x**2 + 0*x**3. What is g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07421 - 0.04472. Let x = g + 7.98251. Let b = x + -8. Round b to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 13*g + 10*g - 11, -19 = 2*s - 3*g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1462 and 21998?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/((z**(1\/4)*z)\/z*z)))\/z*z)**(-14)*z**(-2\/13)*z**5*z)\/((z**(-1\/3)\/((((z*z*z*z\/z**(-5))\/z)\/z)\/z))\/(z**6*z**1)) assuming z is positive.\nAnswer: z**(131\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h - 4. Let f(m) = -4*m - 3. Let q(c) = 3*a(c) - 4*f(c). Let l(y) = 2*y. Give l(q(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 5*y - 1220, -956 = 15*s - 19*s + y. Is 21 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l**2 - 6. Let t(z) = -3*z**2 + 2. Let n(k) = -4*b(k) - 11*t(k). Let q be n(-2). What are the prime factors of (-1)\/(-2) + q\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5 - (-53 - (-4 + 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2 (c) -1015 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 - f**2 - f - 1. Let l(g) = -74*g**3 - 21*g**2 - 6*g - 6. Calculate l(n) - 6*u(n).\nAnswer: -62*n**3 - 15*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -51*g + 43 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/((a\/(a*a*a**(3\/7)*a))\/a)*a))\/((a\/(a*a*((a*a**3\/a)\/a)\/a*a))\/a)*a**(4\/7)*a**0\/a)**(-1\/31) assuming a is positive.\nAnswer: a**(6\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -898431*t**2 + 803688*t.\nAnswer: -1796862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 5*h + 144. Let u be 48\/h*(-6)\/4. Is 36 a factor of 10\/20 + 281\/u - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -82, -247, -414, -583, -754, -927, -1102?\n\"Answer: -y**2 - 162*y + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.03 + 0.03. Let b = 2.7 + -1.7. What is the nearest to b in 0, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8*((-4)\/(-4))\/2. Suppose z = -y + 2 - 1, q = -2*z. Which is the biggest value? (a) -2\/7 (b) y (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153) + sqrt(153))*-5 + sqrt(153) + (sqrt(2448) - (sqrt(2448) + (sqrt(2448) - (-3*sqrt(2448) - sqrt(2448)))) - sqrt(2448))**2*4.\nAnswer: -27*sqrt(17) + 352512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68444 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 + 8*w - 10. Let a be v(4). Is 16 a factor of -4 + 13*(-1 - a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 0 + 6 - 45*b + 8*b**2 - b + 2. What is the units digit of n(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 21*p**2 - 33*p**2.\nAnswer: -54*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4286 - -1.9286. Let z = -5 + 0. Which is the closest to -0.3? (a) z (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciccceceeec. Give prob of picking 4 e.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 390190, -3, -5, 4 in increasing order.\nAnswer: -5, -3, 4, 390190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v - 8296 + 8680 = 0 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11001010101100101 (base 2) to base 5\nAnswer: 11310111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h. Let m(p) = 379*p**2 - 4*p + 10. Calculate y(m(q)).\nAnswer: -758*q**2 + 8*q - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 71162 or 71167?\nAnswer: 71167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a - 6*a + 8*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -12*t + 15. Let u be w(5). Let k = u - -40. Sort -4, k, 4.\nAnswer: k, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 20*t**2 + 17*t + 34. Suppose 22 + 16 = 2*n. Let u be x(n). Suppose -4*o - 4*y = -o + 24, -2*o + 4 = -4*y. Is o greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0 = -20. Let v(a) = -3*a**3 - 2*a**2 + 1. Let n be v(1). Is n > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3610 + 11618. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 5*o = -9*p - 18, 5*p + o = -8. Which is the nearest to p? (a) 7 (b) -2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.004 and -680.7678?\nAnswer: 680.7718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -176, -185, -194?\n\"Answer: -9*d - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95644919 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 789787584 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttusuussuy. Give prob of sequence su.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 873356, 873355, 873354, 873353, 873352?\nAnswer: 873351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6)**(-3\/11))**(-1\/44) assuming d is positive.\nAnswer: d**(9\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-1 - (4 - 6)). List the prime factors of (n\/(-9))\/((-1)\/(-87)).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56 - (23 - -23)) + -16.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -342 - d?\nAnswer: -34f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*r = 16. Let x be (r\/6)\/(452\/(-12)). Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4 + 1 + 0*g + g. Let t be c(3). Suppose -2\/7*v**2 + t + 2\/7*v**3 + 0*v = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 15*s + 19*s - 128, -5*c + 124 = 2*s. What is the remainder when 235 is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1366169 by -39.\nAnswer: -1366169\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -8, -57?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/5 (b) -23 (c) 0.3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 7*y + 7. Let n be c(-6). Let j = -11 - n. Let k = 5494\/3 - 1853. Find the common denominator of k and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1962304 and 1024?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2516*l + 0 + 12 + 1 - 2.\nAnswer: 2516*l + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103022 + 223?\nAnswer: 1103311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 651773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 + 18. Let c(p) = -79698 + 79698 - 3*p. Determine c(z(a)).\nAnswer: -6*a**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, u: 6}. What is prob of sequence uu?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 566196.\nAnswer: 7\/283098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5599 is divided by 47?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 207349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 0*c**2 + 4*c**2 - 203*c + 101*c + 5 + 116*c. What is the remainder when y(-7) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2169 - -2196. Let f(x) = -x**3 - 2*x**2 - 3*x + 4. Let l be f(-3). Let t = w - l. Solve 32 = t*z + 4*h, 15 = 3*z - 4*h + 5*h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -190*(-28)\/7840*-28?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/55 + (-27321)\/65. Let z = 421 + s. Let b = -281\/273 + z. Which is smaller: 0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - r - 5 = 0, -2*v - 2*r - 3 = -r. Let b be (5 - (v - -1)) + -2. Which is greater: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*b + 155. Let k(o) = -b*o**2 + 5 + 26*o**2 - 6 + o**3 + 2*o + 9. Does 15 divide k(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**2 + 12*q + 652. Let m(r) = -3*r. What is -4*m(s) - u(s)?\nAnswer: 6*s**2 - 652","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 e when three letters picked without replacement from eededdedddddddddeee?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**2 + 5*q + 428. Let r(g) = -5*g + 9. Let i(n) = n**2 - 8*n - 3. Let b be i(8). What is b*r(f) + 5*o(f)?\nAnswer: 5*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 11*m**2 - 5*m**2.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*x + 78*x + 54 = -3*p, -79 = 4*p - 3*x. Let n be (-38)\/(-9) + (p - (-280)\/12). Factor -2\/9*o**3 - 10\/3*o - 2*o**2 + n.\nAnswer: -2*(o - 1)*(o + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtrddtdxdxddrtr. What is prob of picking 1 t, 1 d, and 2 x?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58000979?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 5*y**2 - 12. Let p = -2272 + 2277. Determine r(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -bbb?\nAnswer: bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 33*n**2 + 68*n + 4. What is the lowest common multiple of 3160 and j(-12)?\nAnswer: 22120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 67*a**4\/12 + 93*a. Let f(r) = 2*r. Give f(o(v)).\nAnswer: 134*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (0 - 3) - (3 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*j**4 - 1 + 2 - 5 - 4*j**2 + 22*j**4 in the form u + z*j**4 + h*j**3 + t*j**2 + b*j and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 1. Let j(m) = -6*m**2 + 8*m - 2. Let s(o) = -8*a(o) + j(o). Suppose s(l) = 0. What is l?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 151c8 + 3?\nAnswer: 151cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 9*g**3 - 3*g**2 - 5. Let c be (-1)\/(2\/(10\/1)). Let a(w) = -2002 - 4*w**3 + 2004 + w**2 + 0*w**2. What is c*a(b) - 2*u(b)?\nAnswer: 2*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 327.59825 - 0.4\nAnswer: 327.19825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (154 - -6) + 2\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.9 - 2.9. What is the closest to 1 in m, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.61223959 to four dps.\nAnswer: -0.6122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*q + 57904, -23 = -5*q - 28. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107158.\nAnswer: 2, 131, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*q + 3*q = -25, -4*q = 20. Let v be (i\/(-3))\/((-10)\/(-15)). Solve 0*o + v*d + 6 = -4*o, o - 4*d - 9 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1388351, 1388350, 1388347, 1388342, 1388335, 1388326?\n\"Answer: -j**2 + 2*j + 1388350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 - -22. Let n(v) = -c*v + 2*v**2 + 75*v. Let w(b) = -b**2. What is w(n(r))?\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 70*u = -69*u + 9818, -39260 = -4*a + u. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q - 14. Let v(i) = -i**2 + 3*i + 10. Let a be v(6). Let g be m(a). Let l be g\/(-36)*1 - 22\/99. What is the closest to l in -1\/6, -0.1, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23235.3 + 22328. Let g = -907 - u. Let f = -391\/6 + 65. What is the fourth smallest value in -2, f, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b + 4. Let z be v(1). Solve z = -3*w + 7*w + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 53*o**2 + 41*o + 2155. Let c be i(-53). Let x(g) = -3*g - 4*g**2 - 5*g**2 + 11 - 7*g**2 - g**3. Is x(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*m - 19 = -146, 3 = -3*m. Solve -13*j + 100 = -d*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14584815?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 6:19 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 444 and 38406.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**3 + 0*p**3 - 2*p**3)*(2*p + p - 6*p) + (-p**2 + p**2 - 2*p**2)*(-2*p**2 + 2*p - 2*p) as u*p**3 + m*p**2 + o + w*p**4 + h*p and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**4\/9 + 4*i**3\/9 - 40*i**2\/9 + 32*i\/9 = 0?\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -18*h**2 - 17930*h + 53952 = 0?\nAnswer: -8992\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -5\/6, -12\/11, -5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*c + 38*c = 5*j - 107890, 64706 = 3*c - 4*j. List the prime factors of c.\nAnswer: 2, 7, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**5*w**(2\/7)\/w*(w*w*w**(-2\/7)\/w*w*w*w*w)**17)\/((w**(-1\/2)\/w)**(-37)*((w**2*w)\/w)\/w**(-2\/9)) assuming w is positive.\nAnswer: w**(3491\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243709683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {y: 6, i: 8, k: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Let w be -2 + (6 - o - -3). Is (-3*1)\/(w\/(-8)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 - 5*w + 2. Let f be b(2). Suppose -f*p = -p - 24. Is 886\/p - (-5)\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5525 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 2. Let t(b) = -b**3 + b**2 - b + 3. Let y(d) = -3*i(d) - 2*t(d). Let x be y(-1). Let o = 13 + x. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 9. Let f = 307 - 3379\/11. What is the closest to 0 in -1\/2, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 7*f - 8. Let d(s) = 3*s**2 + 27*s + 33. Let c(l) = -2*d(l) - 9*p(l). Suppose c(i) = 0. Calculate i.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6319 + 43?\nAnswer: -62d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -799\/4 - -201. Which is the closest to -0.2? (a) p (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 11*f**2 + 86*f + 5. Let v(u) = 5*u**2 + 43*u + 2. Let s(m) = 5*v(m) - 2*w(m). What is the second derivative of s(j) wrt j?\nAnswer: 12*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2 + u. Let q(x) be the first derivative of -4*x**3\/3 - 4. Let j(p) = 6*q(p) + 5*t(p). What is the second derivative of j(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54027 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5212219 by -11.\nAnswer: 5212219\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 - 4*k**2 - 25*k**2)*(-4*k**2 + 5 - 5) - 220*k**3 - 11*k**4 + 220*k**3 + 2*k to v + o*k**4 + f*k**2 + u*k**3 + d*k and give o.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -72, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -175*q**3\/2 + 2543*q**2\/3 - 11485*q\/6 - 2050\/3 = 0.\nAnswer: -164\/525, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 2:02 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourteeen ninths of a day?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011101 - 10?\nAnswer: 1010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -62 - 36\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 146 = 2*d, -2*d + 64 = 3*g - 22. Suppose 5*w - 245 = -3*y, -13*w + 17*w = 16. What is the highest common factor of g and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-3*x**4 - 26898*x**5 + 13329*x**5 + 13396*x**5).\nAnswer: 346*x**5 + 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3446, -16989, -39560, -71159?\n\"Answer: -4514*q**2 - q + 1069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000385783515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*q + 2*j = 55*q - 2, -q + 2 = -j. Solve -q*b - 6*u + 3*u - 22 = 0, -u + 6 = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -12, 19, 4, -721, 5 in descending order.\nAnswer: 19, 5, 4, -12, -16, -721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4355.5 rounded to the nearest 10?\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/7)*i)\/i**(-4\/7)*i**(-6)*i*i**6*((i**0*i)\/(i**(-2\/9)\/i*i))**29 assuming i is positive.\nAnswer: i**(2404\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/6)\/(7\/35). Which is the nearest to 2? (a) f (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409220 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 8. Let v = -0.1 - -0.1. Let f = -0.2 - v. Which is the biggest value? (a) f (b) g (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - c**2 + c. Let o be -8 + 14 + -1*1. Let z(y) = -4*y**3 - 5*y**2 + 4*y + 1. Calculate o*f(a) - z(a).\nAnswer: -a**3 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 903\/2 - 452. Let v be (-15)\/(-30) - (-63)\/(-102). What is the third smallest value in u, v, -15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 0.5, -12874\/71 in descending order.\nAnswer: 0.5, -4, -9, -12874\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**2 - 5. Let v(h) = 7*h**2 - 8. Let k be ((4 - 2) + -5)*24\/9. What is k*a(j) + 5*v(j)?\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/6)\/(1\/(-10)). Let l be n*(2 + 84\/15). Suppose 5*h + 13 = l. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v = -45. Calculate the remainder when 25 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -22. Suppose 0*h + i*h = -16. Are h and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57? (a) 2\/2379 (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -13*v + 8*v + 2*s, 0 = -4*v + 5*s + 65. Let c = -14 + 30. What is the highest common divisor of v and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-181 - -169)\/(3\/2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 3*d**8\/4 - d**4 + d**3\/2 - 61*d. What is the third derivative of c(w) wrt w?\nAnswer: 5040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59 (base 16) to base 9.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 56*i**2 - 115*i - 32. What is the remainder when u(58) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 50404 + 12773 = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(35)\/sqrt(5) + -2)**2.\nAnswer: 2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 371.1 + 37.\nAnswer: 408.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 8*x**2 - 4*x + 8. Suppose 2*r + 5*p = -21, -4 = 3*r - 2*r - 4*p. Let m be v(r). Let k = m - 18. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**2 + 40. Let l(d) = -d**2 + 12. Let b = -451 - -454. Let r(w) = b*i(w) - 10*l(w). Let y(z) = -3*z. Determine r(y(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**0*l\/(l*l\/(l\/(l\/l**15))) assuming l is positive.\nAnswer: l**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 57960 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 9. Suppose -i - 1 = 4. Let l be n(i). Solve -y - 3*y - l = p, 5*p + 20 = -5*y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 3, 2\/3 in decreasing order.\nAnswer: 3, 2\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -187818?\nAnswer: -187820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3586 or -3587?\nAnswer: -3587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257103 = -2253*z + 70104 for z.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -108177574.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 20 + 14 = 4*o, -3*o - 11*r - 432 = -40*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402284855?\nAnswer: 5, 7, 17, 96587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + 1 + -2)*8. Let i be (3\/12)\/(9\/r). What is the smallest value in i, -1\/10, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 8*g + 15. Let b = -34 + 36. Suppose 3*w + b + 16 = 0. What is the units digit of a(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*1\/3*3. Let j(d) be the first derivative of d**2\/2 - 6*d - 2. Let i be j(g). Put -3, i, 2 in ascending order.\nAnswer: -3, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1539) + -1))**2 + 3.\nAnswer: -648*sqrt(19) + 55443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*(sqrt(539) - (sqrt(539) + 2 + sqrt(539)) - sqrt(539))**2 + ((sqrt(396) - sqrt(11)) + -5 - (-3 + sqrt(704) + sqrt(11))).\nAnswer: -25922 - 676*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10306 + -6389.\nAnswer: 3917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -56006 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -920501 and 1.\nAnswer: -920501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -166.2 + 158.07. Let g = 8.1300008816 + v. What is g rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -9*f + 4*y, -f + 20*y - 1 = -70*y + 166*y - 75*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 - 87.47. Let n = u + -0.03. Let b = 13 - 9. Sort n, -2\/11, b in decreasing order.\nAnswer: b, -2\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 1:17 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*o + 5*o - 20446, -10 = 5*o. Let c = -981923\/48 - y. What is the common denominator of c and 56\/15?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121568\/2096 - 1*(1 + 11)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (28 + -32 + 2 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -3 - 8) + -1 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5*d**3 + (-2 + 2*d + 2)*(15*d**2 - 4*d**2 - 3*d**2))*(15*d - 6*d + 26*d).\nAnswer: 735*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4582914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 281, 570, 859, 1148, 1437?\nAnswer: 1726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 34 = o, -5*o + 4*j + 22 = -148. Suppose -g = -5*p + 7 + 39, -3*p - g + o = 0. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 12.134937 months?\nAnswer: 0.00101124475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -205*f**2 - 867*f - 77. What is o(-3)?\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1 + sqrt(448))*3 + -1 - ((sqrt(448) - (sqrt(448) - (sqrt(448) + 1)*-5)) + 0))**2.\nAnswer: 128*sqrt(7) + 28670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 f when four letters picked without replacement from {f: 3, m: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20222 + 102000?\nAnswer: 122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 354 + 431?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572*m - 562*m + 1169*m.\nAnswer: 35*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.0619 and -4.063?\nAnswer: 1.0011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*f + 54 = 42*f + 87*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 - 86*f**2\/3 + 89*f\/3 + 58.\nAnswer: -(f - 2)*(f + 1)*(f + 87)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6835 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 + 0.141. Let h = 2.021 - i. Let f be (-3 + 1)*2\/4. Which is smaller: f or h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {u: 2, h: 7, d: 3, k: 1, a: 5}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001251328 to 6 decimal places.\nAnswer: 0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (1 - 0) - (115 - 115).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 11:42 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((3\/3)\/7)\/(-1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10485, -12843, -16765, -22245, -29277?\n\"Answer: b**3 - 788*b**2 - b - 9697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -176173, 1, 0.5, -0.4, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 5 (c) -2 (d) -1\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0. Let a = -3 + 5. Suppose c*b + 6 = a*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -300148 or -300091?\nAnswer: -300091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1354*y**3 - 7*y**2 + 0 - 196*y**2 + 2 + 1343*y**3 - 62*y**2 to g*y**3 + k + l*y + r*y**2 and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.011, 3\/4, -3, -5 in decreasing order.\nAnswer: 3\/4, -0.011, -2\/9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/18)\/((-4)\/66). Solve 5*v + 25 = 5*w, 0 = 2*w + 5*v - 0*v + x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1053) - (0 + sqrt(1053) + -1)) - ((sqrt(1053)*-2)**2 + 5)*-3)*3.\nAnswer: 37968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30573, 30575, 30577, 30579, 30581?\nAnswer: 30583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -181667 - 0.94.\nAnswer: -181667.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 12:37 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 650 (b) 2351.3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -797752 divided by 3\nAnswer: -797752\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -n + y, 7*n - 12*n + 4*y - 30 = 0. Which is the second smallest value? (a) 0.2 (b) -4 (c) 4 (d) -0.3 (e) n\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415.20938 take away -26?\nAnswer: 2441.20938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 4*w + 5. Let s be k(-3). Let q be (12\/(-5))\/(1\/(-10)). Suppose -8 = -4*r + q. What is the greatest common divisor of r and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p**2 - 6*p. Let o be s(8). Round o to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*g + 1013 + 139, 5*k - 2*g - 1156 = 0. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -1\/60*d**5 + 0 + 0*d - 3\/8*d**4 + 11*d**2 - 7\/6*d**3. Give g(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53295)\/(-7106) - (-6)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 52*d + 98. Let w be i(-2). Let h(y) = -3*y**3 + 6*y. Let j(o) = o - 1. Let q(l) = -1. Let z(u) = j(u) - q(u). Determine w*z(m) + h(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -912800 divided by 5\nAnswer: -182560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/(6\/(-30)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 749 + 91 + 330 = 26*s. Calculate the smallest common multiple of 210 and s.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a7 + 5?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177702038 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0617 and 42839.2917?\nAnswer: 42839.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -824265 or -824359?\nAnswer: -824359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0041795072 rounded to seven decimal places?\nAnswer: -0.0041795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11088, 22178, 33268, 44358, 55448?\n\"Answer: 11090*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**4\/9 + 336*t**3 - 4*t**2\/9 - 336*t = 0.\nAnswer: -756, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {c: 2, q: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 1\/2, 38, -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Expand (0 + 0 + 1)*(-6*t**3 + 2*t**3 - 16*t**3).\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-107)\/((-96621)\/774))\/((-3)\/238)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2672 - 0.5672. Which is the nearest to -2? (a) 5 (b) t (c) -0.4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, 2, 54, 0, -6 in descending order.\nAnswer: 147, 54, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2157, 4405, 6653, 8901, 11149?\nAnswer: 13397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -14*m + 67*m - 50*m. Let l(p) = 42*p**2. Calculate a(l(o)).\nAnswer: 126*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -568 + 65*p + 568 + (4 - 4 + p)*(-2 + 1 + 7) + 4*p + 1 - 1 + (-1 + 2 - 2)*(2*p - 3*p + 3*p) + 4*p - 2*p - p + 3*p + p - 5*p.\nAnswer: 73*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t - 6. What is the lowest common multiple of u(-3) and 33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36737056 and 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0337 * -0.2.\nAnswer: -0.00674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/180005 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*(w\/(w*w*w**(-6)*w))\/w))*w*w)\/(w\/w**(1\/6))*w**(1\/3)*w**(-2\/7) assuming w is positive.\nAnswer: w**(73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/3*(990\/40)\/11. Suppose 0 = -3*o + 6, 0 = h*z + 2*o - 4*o - 2042. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 500 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2926 and 7942?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.103 * -17.1\nAnswer: -1.7613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*v - 21 - 18 + 39 - 47*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 5*t**4\/12 + 5*t**3\/2 - 11*t + 12. Let k(n) be the first derivative of p(n). What is the second derivative of k(w) wrt w?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36*-61.2\nAnswer: -2203.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(2 - (-8)\/(-3)). Let l be (-29060)\/160 + 6\/(-16). List the prime factors of 1 + (2 + u - l).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**3 + 24. Let k(h) = -22*h**2 + 4*h + 4. Let q(p) = 21*p**2 - 3*p - 3. Let b(m) = -3*k(m) - 4*q(m). Determine b(t(r)).\nAnswer: -162*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9970729661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145 + -82. Let n = y + -36. Calculate the highest common divisor of 189 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbbwblbllllsw. What is prob of picking 1 w and 1 b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7*3*(-528)\/(-1232)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2144*s - 1623.\nAnswer: 2144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35\/34 or 0?\nAnswer: 35\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b + 3*b = -4*s + 54*b + 50*b - 713, -2*b = 4*s + 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*u = -16, u - 5 - 18 = -3*q. Calculate the highest common divisor of q and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 367, 1304, 2819, 4912?\n\"Answer: 289*g**2 + 70*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -7. Let p be ((-72)\/(-1170))\/(4\/10). What is the second biggest value in x, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooootoooooooooxooo. What is prob of picking 1 x and 1 o?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 179 + -183. Let h be 6 + 47 - r - -3. Calculate the greatest common factor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = -13*j + 14. Let b be (-3*j)\/(-4 + 150\/42). Let p = 49 - b. Solve p*n = 5*n + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1129 + 145. Let a = 984.000603 + h. What is a rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 - 9. Let p(z) = -z - 4. Let d(t) = -9*t - 28. Let n(s) = d(s) - 7*p(s). Determine n(a(c)).\nAnswer: -6*c**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7 - 1\/(-2)*8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 37 - 582\/(-12) - (-6)\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5827 - 1273*n**3 - 5827.\nAnswer: -1273*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 9. Let i(x) = -2 + f - 2*x + 3*x**2 - x**3 + x - x. Calculate i(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tuttttttttttttttttut?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 342093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121.9 - 121.8948. Round s to 4 decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 6 + 3 + 2 - 18 - 16*q**2.\nAnswer: -16*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -102851a (base 15) in base 10?\nAnswer: -11520025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(2\/5)))\/o)**(-35))**(4\/3) assuming o is positive.\nAnswer: o**(196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -2*d + 5, l - 9 = -2*l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 + 15)*(-113 + 113 + 12*v**3)*(3 - 3 - 3*v).\nAnswer: -288*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105360 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4))\/(305\/732). Determine r, given that 2\/5*r**3 + 2\/5 + 6\/5*r + q*r**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + 0 + sqrt(3).\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1650 = 3*q - 4*x - 30, -15 = 5*x. Is 50 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 + 4*g**2 - 4*g + 2. Let z = -17402 - -17405. Let x(v) = -v**3 - 3*v**2 + 3*v - 1. What is z*j(o) + 4*x(o)?\nAnswer: 2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11360984 (base 10) to base 3.\nAnswer: 210101012100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10 + 29 = 3*d, 4*q + 26 = d. Let x(z) = 5*z - 45. Let h be x(d). Calculate the highest common factor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17603 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/6231330 and 92\/4896045.\nAnswer: 68544630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 337654 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(5\/2)\/x)\/x*x*x)\/x*x**6\/x*x assuming x is positive.\nAnswer: x**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 4, 30 in decreasing order.\nAnswer: 30, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199 - 113 - 27*y**2 + 10*y**2 + 19*y**2 + 366.\nAnswer: 2*y**2 + 452","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 3) to base 5.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4833455.9*-1.4\nAnswer: 6766838.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((2 - -2) + -3). Suppose 2*j + h*j - 6 = 0. Suppose j*i + 2 = -2*p + 10, 0 = p - 2*i + 3. What is the biggest value in p, -1\/6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**3*m*u + 19*l**3 - 122*l**2*m + 2*m*u wrt l.\nAnswer: 6*m*u + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2\/39 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 6, p: 2, l: 2}. What is prob of sequence le?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**5*t + 11*p**3*t - 33*p**2*t - 80*p*t + 3*p - t - 2 wrt p.\nAnswer: 60*p**3*t + 66*p*t - 66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (9\/60)\/(29\/6*(16965\/58)\/(-65))\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-5)**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2*x\/(x**6\/x))\/(x**(-1\/2))**(2\/57) assuming x is positive.\nAnswer: x**(-113\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - sqrt(525))\/sqrt(3) + sqrt(21)\/sqrt(27))**2.\nAnswer: 847\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n - 3*n + 6*n + 2*n + n - n - n + 3*n + 0*n + 4 - 4 + n + (2 - 3 - 1)*(3*n - 3*n + 2*n) - 8*n - 2*n - 10*n - n - 1 + 1.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 24826.29?\nAnswer: 24826.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 >= -5644\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7*b - 17 = -2*f, 9 = 2*f - 3*b. Calculate the greatest common divisor of f and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*580.9\nAnswer: -232.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2*p**2 + 1 - 8 + 6.\nAnswer: 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51459*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 36 = -9*q. Let w = -6 - q. Suppose 4 = 4*f, -w*f + f + 6 = 4*a. Solve 0 = -4*v + a - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -4\/7, -6\/7, 1\/7, -2\/143, -2, 3\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2290095 and 6.\nAnswer: -13740570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3900433.\nAnswer: 3900433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 12, -q - 38 - 13 = 3*i. Let u = i + 21. Solve u = 2*b + n - 5, -b - 14 = -4*n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 6:36 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - q**2 - q + 1. Suppose 5*k + f = 10, 2*k = 3*f - f - 8. Let b(y) = -2*y**3 - y**2 + 1. Let p(l) = k*g(l) + b(l). Determine p(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 11) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34\/21 - 20\/21. Suppose -5 = -3*a + 1. Factor 0 + 2\/3*w - s*w**a.\nAnswer: -2*w*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-387)\/135)*3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 15*q**2 - q - 1. Let r be a(-1). Suppose z + 14 = -r. Let m = z + -741. What is m rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306789*q - 153406*q - 153385*q - 17*q**2.\nAnswer: -17*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, h: 12}. What is prob of picking 2 h and 1 c?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -150 - 2?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*w - g, 4*w + 2*g + 2 = 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (168\/(-24))\/(2\/6). Let s(x) = x - 3. Let a be s(0). Let r be (-8)\/a + (-7)\/c. Put -2, r, -5 in descending order.\nAnswer: r, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -89*n + 2791. What is z(49)?\nAnswer: -1570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 16 = -p - p, 0 = -4*g - p + 12. Suppose g*u = 4*l - 16, 5*l - 10 = 4*u + 9. Suppose -l = 5*v - 13. Solve -z - v*z - 12 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - x**2 + x + 1. Let c(a) = 19*a**3 + 9*a**2 - 7*a - 4. Give c(o) + 6*p(o).\nAnswer: 13*o**3 + 3*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 6*y - 5. Let v(g) = -3*g + 2*g - 2 + 5*g. Suppose 4*q - 6 = 4*s - 7*s, -4*s + 2*q + 8 = 0. Let o be v(s). What is n(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - 2*(sqrt(66) + sqrt(66) + sqrt(66)*-2 + sqrt(66) + sqrt(66)))*5)\/((sqrt(36)\/sqrt(96) + sqrt(6) - sqrt(6))*3))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-8 - (4 + -19)) + 5 + 8\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 < -323\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 + 2*m**2 - 2*m**2 - 31*m**3.\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 1)\/(91 - 94). Solve b + 10 = -5*w, p = 2*b + 3*b + 4*w + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1429509 * 0.13.\nAnswer: 185836.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l + 20. Let c be m(7). Let b be ((-1)\/c)\/((-7)\/(-2555)). Suppose 4*i = 3*p - b, -p - i = -31 - 100. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 5*q**2 - 13*q + 9. Is j(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1749210*j + 520. Let w be s(-12). Round w to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 11*k**2 + 1248*k - 344019. What is r(129)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqtkctl. What is prob of sequence tq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4528 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 k, and 1 t when four letters picked without replacement from uulutllllltlukkklkll.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90433 or -90428?\nAnswer: -90428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1386 - -1388. What is the third smallest value in -1\/5, 8, 3, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 54281420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -33. Let c(f) = f**3 - 5*f**2 - 20. What is the lowest common multiple of 12 and c(p)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138 and 648?\nAnswer: 14904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110101100001 (base 2) to base 14.\nAnswer: -1369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 2 + 12. Suppose -2*c = -3*g + 37, -q*g + 3*c + 48 = 2*g. What is the greatest common factor of g and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7214.878 millimeters in kilometers?\nAnswer: 0.007214878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20045?\nAnswer: 5, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.3 + -5.34. Let w = -8.5 + 3.5. Which is the biggest value? (a) 1\/9 (b) u (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 35*p**2 - 867*p - 14. What is l(-17)?\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*r = r - 5, -3*b + 2*r = -8. Let x(f) = -2*f**2 + 378*f - 16761. Let s be x(71). Sort -1, s, b, -18 in decreasing order.\nAnswer: b, -1, s, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 462 and 330.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/d**11))*d**8*d*d**(-12\/7)*d*d**(2\/11)*d)**(2\/13))**(-3\/11) assuming d is positive.\nAnswer: d**(246\/11011)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -253*j - 68756. Determine t(-272).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 9. Let g = 16 + -7. Let r be b(g). Solve l = 4*z + 18, -4*z - 8 = -r*l + 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-21\/5)\/q*q**(3\/13) assuming q is positive.\nAnswer: q**(-323\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + 10. Let r be (v\/(-1))\/((-8)\/36). What is the highest common factor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(5) + 5*-1*sqrt(5)) - sqrt(30)\/sqrt(6)*-2.\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 1. Let c be v(4). Suppose -11*m + 91 = -228. Let t = 33 - m. Solve t = -c*q + q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1672*j**3*w + 3*j**3 - 13439*w wrt j.\nAnswer: 5016*j**2*w + 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88660841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 26 = -4*n, -2*n - n = 4*b + 35. Let a(f) = f**3 + 9*f**2 + 1. Determine a(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k = 3*n + 16*k - 2, -4*k = -5*n - 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31416530 rounded to the nearest 100000?\nAnswer: 31400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9500 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28188 = -2306*d + 701*d + 100487 + 32026 for d.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {t: 2, f: 1, a: 5, l: 1, z: 6, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**2*h - 4*g**2 + 143*g*h - 3821*h + 1 with respect to g.\nAnswer: -6*g*h - 8*g + 143*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 25 = -4*g. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**9\/a*a))\/a*a*a\/a**(-4)*a*a)**(-4\/13) assuming a is positive.\nAnswer: a**(4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3629275 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: Solve -2*y + 4*d = 8, 0 = -y + d - 0*d - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u - 2. Let l be g(-4). Suppose -3*o = -t - o + l, o = 2*t - 30. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2104*b**4 + 2264 + 1431 + 928 - 1322 - 1084*b**4 wrt b.\nAnswer: -12752*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/39129 and -149\/666?\nAnswer: 8686638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 9*t**2 + 10*t - 10. Let k be g(10). Does 14 divide (k\/(-15))\/(1\/105)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*z = -4. Suppose 3*s = -z*s + 540. Calculate the highest common factor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*d*n**3 - 54*d*n**2 - 31*d + 70*n**3 - 167*n - 2 wrt n?\nAnswer: -54*d*n - 108*d + 420*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -138904 (base 10) to base 11.\nAnswer: -953a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 9 = -0*s. Suppose 0 = 5*j + 25, 6*j = -s*u + j - 1. Suppose -2*h - 24 = -u*h. Solve 4*c = h - 24 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1252941 is divided by 308?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 165258.3 centuries in years?\nAnswer: 16525830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from {s: 2, b: 1, r: 1, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 4827240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -6*j**4\/7 - 1046*j**3\/7 + 19162*j**2\/7 + 11366*j\/7 - 12988 = 0.\nAnswer: -191, -7\/3, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19, -0.12, -4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -10*u - 27. Let j be w(-6). Suppose -y - j = 10*y. What are the prime factors of (-1 - 3\/(-6))*(-1 + y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2*w + 18 = 10, 3 = 4*y + 4*w - 13 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/20 and 85\/61292.\nAnswer: 306460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r + 38 - 2*r + 22 - 43 + 4*r. Give z(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - c**2 + 2*c + 2. Suppose 0 = 2*x - 7 + 11. Let s be n(x). Solve 2*i - 7*i = 10, -6 = 2*d + s*i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715485?\nAnswer: 3, 5, 47699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21490*795.\nAnswer: 17084550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8*f**2 - 4*f + 1. Give n(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10419 - 8571. Calculate the remainder when a is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.6 - 25.6. Let d = 22.9 + z. Sort 0.1, 2, d in decreasing order.\nAnswer: 2, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6757.260995 rounded to the nearest ten?\nAnswer: 6760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 558 and 57288?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h + 2*h**2 - 2*h**2 + 2*h**2 - 4. Let o be i(4). Suppose 90*f + 0 - 4 = -4. Solve -5*m + 4 + o = f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a7a - -698?\nAnswer: 6667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 95909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111*z**2 + 352*z**2 + 3 + 12*z**6 - 1245*z**3 - 7*z**6 - 4*z**6 wrt z.\nAnswer: 120*z**3 - 7470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2141, 10, 0.4 in decreasing order.\nAnswer: 2141, 10, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 5 - 3 + 1)*((2 - 5 + 2)*(v + v + v) - v + 0 + 0).\nAnswer: 4*v**2 - 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/28 and -25\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-12)*(o*o*o\/(o**(-11)\/o)*o)\/o*o*(o**(-4))**(-10))**(-2\/27) assuming o is positive.\nAnswer: o**(-88\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 - (-40 + 6 + 50)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12857\/(-468))\/(-43) - (-4)\/36. Which is the nearest to -0.2? (a) k (b) 1.2 (c) -3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1634 (base 7) to base 13.\nAnswer: -3bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53948, -53947, -53946, -53945, -53944, -53943?\nAnswer: -53942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 18*a**2 + 88*a - 67. Determine s(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 6684?\nAnswer: 33420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1933 is divided by 693.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/3, 35\/4, 2\/9, 0.4 in increasing order.\nAnswer: -19\/3, 2\/9, 0.4, 35\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 8*q**2 + 7*q - 3. Let a = 5 + -12. Let n be z(a). Suppose -5*b + 8 = -17. Put -5, n, b in descending order.\nAnswer: b, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 0.0381 (c) -24988\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305*v = 775286 + 2974168 - 456979. Calculate the greatest common divisor of 170 and v.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -6.3. Let i = -15.3 + a. Sort 1, i, -0.4 in decreasing order.\nAnswer: 1, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12024, 24100, 36174, 48246, 60316, 72384, 84450?\n\"Answer: -s**2 + 12079*s - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 658 - 160 = -5*a, 5*y - 3*a = 629. What is the remainder when y is divided by 73?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -93 (c) 203111 (d) -0.2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v + 0*v**4 + 4\/3*v**3 + 0 + 0*v**5 - 4\/15*v**6 + 0*v**2. What is the second derivative of x(h) wrt h?\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327136 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141 or 0.0608?\nAnswer: 0.0608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 37, -9, -73?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 24*n**2 - 9*n - 54. Let l be t(-23). Let o = l + 377. Let j(m) = -m + 3. Calculate j(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {c: 1, z: 3, y: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1266.9 - -0.2.\nAnswer: 1267.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 736 - 733. Let f(y) = 3*y. Let m be f(1). Suppose -m*z = -z - 8. Calculate the lowest common multiple of v and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7210936 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2129000 rounded to the nearest ten thousand?\nAnswer: -2130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + n + 4*n - 72, l = 5*n + 18. What is the lowest common multiple of 5 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f + 5. What is t(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282150182 and 358.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 766*m - 10 - m**2 - m**3 - 772*m + 7*m**2. Give z(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/4)\/(22\/132). Let t be (g\/5 + -2)*12. Let c be -2*4\/t - (-44)\/3. Solve 0 = -2*y - 2*n + 2, 0 = -y + 6*n - 2*n - c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16018 + 16023. Sort 4, 0.06, -23.2, h, -4.\nAnswer: -23.2, -4, 0.06, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 - 250*z - 58829\/3.\nAnswer: -(z + 89)*(z + 661)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.534169 hours in seconds?\nAnswer: 34323.0084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 206 or 242?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 4*h**2 - 4*h + 2. Let p be y(2). Let x be p - (-108)\/(-45) - 22\/(-80). Sort -3, x, 0.2 in increasing order.\nAnswer: -3, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/(((-2)\/46)\/((-80)\/(-320)))?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**2 - 80*p + 308. Determine r(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 + 96*p + 71. Let d(g) = -8*g**2 - 160*g - 122. Determine 7*d(q) + 12*w(q).\nAnswer: 4*q**2 + 32*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 12*d**2 - 2*d + 3. Let h be b(-7). Suppose 5*x + h = -4*s + s, -6 = -3*x. Let a = s - -287. Is a a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 11:14 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10) + (-6)\/(-10). Let n = 35 - 35. What is the closest to n in -3, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.046 + -0.146. Let k = -3.35 - -0.25. Let r = m - k. What is the third biggest value in 1\/8, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13 - ((-4)\/(-4))\/1. Suppose -3*h - 4 = -2*y, y = -y - h + j. What are the prime factors of 9\/45 - (-984)\/y?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-4) + -3)*10\/6. Do -14 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + s - 2*s)*(-7*s**2 - s**2 - 3*s**2) + (s + 3*s - 6*s)*(-s**2 - 1 + 1) + 2*s**3 - 2*s**3 + 2*s**3.\nAnswer: -18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 272 and 136.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2518095?\nAnswer: 3, 5, 167873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 72975, 145933, 218887, 291837, 364783, 437725?\n\"Answer: -2*f**2 + 72964*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 - 8*b + 2*b**2 + 2*b**2 + b**2 as i + s*b + o*b**2 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6429, 26715, 47001, 67287, 87573?\nAnswer: 107859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-1\/4)))\/(y\/y**(-2\/63)) assuming y is positive.\nAnswer: y**(-323\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 975.2 rounded to the nearest 10?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, q: 2, s: 2}. Give prob of sequence oqq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2602*b**4*t**2 - 9*b**3*t**2 + 5*b**3 + b**2*t**2 + 7*b*t - 11621*t**2 wrt b?\nAnswer: 62448*b*t**2 - 54*t**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -3\/2*m**2 - 3\/20*m**5 + 0 + 0*m**4 + 2*m + 0*m**3. Differentiate o(c) wrt c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (21 - (15 - 2)) - (-1 + 32)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 100*t**2 - 21*t + 14. List the prime factors of f(-8).\nAnswer: 2, 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, j: 4, f: 4, y: 1, n: 2}. What is prob of sequence fiij?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-16)\/28)\/(62760\/(-10458) + 6) is divided by 166?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -2\/9, -5\/4 in decreasing order.\nAnswer: 0.02, -2\/9, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(147))**2 - sqrt(147))*1 + (sqrt(147)*-1)**2 + sqrt(147) + 3)*-1 - ((sqrt(147) - sqrt(147)*-1)*-3 + (1 + sqrt(147))*-6 + 3)**2.\nAnswer: -21474 - 504*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37912608.\nAnswer: 2, 3, 131641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**4\/24 - 38*c**2. Let b(h) = h**2 - 10*h + 1. Let k(n) = b(n) - 4*w(n). Calculate k(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001101011100110100 - 10001111?\nAnswer: -111001101011111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -98294002*x - 40870730?\nAnswer: -98294002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l**5 + 5516*l**4 - 363420*l**3 - 20307200*l**2 - 5054000*l = 0.\nAnswer: -35, -1\/4, 0, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 181825 and 56?\nAnswer: 1454600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004206 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -776, -777, -778?\nAnswer: -779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.054, 1, -1.79, -118?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 2*r - 9 - 26, 37*f - 26*f - 2*r - 65 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4067*o**3 + 5 - 3 + 14516*o**3.\nAnswer: 18583*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5773, 11537, 17293, 23041?\nAnswer: 28781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52161 and 153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -262*a + 1. Let w(y) = y**2 + 56. Give w(p(c)).\nAnswer: 68644*c**2 - 524*c + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/(((-16)\/(-8))\/(-20)). Solve -12 = -4*s + x, z*x - 15 = 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-240)\/440 - ((-13)\/33)\/((-25)\/(-225)). Solve l*a = -2*n - 4, -77*n + 80*n = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 times 1703118\nAnswer: 45984186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 7*v**2 - v - 4. Let a be o(-7). Solve a*c + 3*q = 18, -4*q + 12 = -c + q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 j, and 2 t when four letters picked without replacement from {j: 3, x: 3, b: 2, t: 2, y: 1, q: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2202 + 3780. Suppose 5*j + 3*a - l + 78 = 0, 2*j - 584 = 2*a. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from {i: 2, z: 3, k: 5, v: 3, f: 1, q: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 - (0 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1295 and 13135?\nAnswer: 91945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, k: 2, u: 2}. What is prob of picking 2 k and 1 u?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 10) to base 6\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1408 and 1584.\nAnswer: 12672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 4 = 28, -6*l + 51 = -3*l + 2*h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2180987 is divided by 385.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 828*s - 29604. What is n(36)?\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1250 = 2*q - 12*q. Is q a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -59*j**2 + 4*j + 7. Let h(p) = -29*p**2 + 2*p + 4. Calculate 11*h(c) - 6*k(c).\nAnswer: 35*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 3. Let m be o(7). Suppose -56 = -m*w - 8. Suppose -w = -8*z + 12. Solve -z*k - 2 = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 170\/91 + -12\/7. Let j be (204\/(-255))\/(17\/(-5)*-2). Sort -3\/2, t, j in descending order.\nAnswer: t, j, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7 = 5. Suppose 0 = -2*u + p*h - 29, 5*h - 4 = -3*u - 0*h. Let m = 15 + u. Calculate the greatest common factor of m and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**3\/3 - 9*x**2\/2 - 5*x - 17. Let w be d(-8). Suppose 0*n - 5*o = -2*n + 307, -5*o = -w*n + 468. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28240 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9 + 5 - (-52)\/14. Let k(t) = t**3 + 8*t**2 - 21*t - 8. Let s be k(-10). Let h be 2 - (s\/(-3) + (-24)\/(-9)). Put h, 5, n in descending order.\nAnswer: 5, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*b + 490, -3*r + 3*b = -0*b - 270. Suppose -274 = -4*i + r. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-66)\/(-27) + 0 + -2. Let v be 9\/(-60) - (-2)\/(-8). Which is the closest to v? (a) g (b) 0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4332 and 451212.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t - 3*t**2 + 6*t)*(-t + t + t**2) - 9*t**4 - 9*t**4 - 27*t**4.\nAnswer: -48*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 8*x - 51 = 0. Let z(y) = y**2 + 6. Let p be z(-5). Let m = x - p. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 7*v - 7. Let i = -3 - -6. Calculate the lowest common multiple of s(-8) and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 354222261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40\/33 - -6\/11. Which is the smallest value? (a) 4 (b) l (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 4. Suppose -m + d = f - 2, -3*f = 0. Let y = 8 + -7. Put m, -4, y in increasing order.\nAnswer: -4, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 3:07 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74 + -37 + -63 - (1 + -16).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, -6, -71, -194, -393, -686?\n\"Answer: -3*t**3 - 2*t**2 + 2*t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/2)\/(b*b\/(b*b*b*b**(4\/9)\/b*b))*b**(-8)*(b**8\/b)\/b assuming b is positive.\nAnswer: b**(-37\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*d**3*t - 3*d**3 + 3*d**2*t + 368*d**2 + d*t + 728*d - t + 9 wrt d?\nAnswer: 102*d*t - 18*d + 6*t + 736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + 8 + -2 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89491.39 hours in milliseconds?\nAnswer: 322169004000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.38 + -9410968546.\nAnswer: -9410968545.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 1. Let o be v(-2). Suppose 3 = -o*q, -p + 0*q = 3*q + 3. Sort -4, 1, p.\nAnswer: -4, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by 2958?\nAnswer: -55\/2958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**5\/4 - 3*i**4\/4 + 9*i**3\/4 + 3*i**2\/4 - 3*i\/2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 59*w + 7. Let r be j(-1). Let p = 54 + r. Suppose 0 - 2*h**p - 4\/7*h = 0. Calculate h.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-4))\/(-1) - (-4100401)\/(-372). Let o = -11048 - b. Calculate the common denominator of o and -133\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4186 and 145352571?\nAnswer: 2093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) 21872\/3 (c) 0.1 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**5\/30 - 783*h**2. Let c(s) = 9*s - 2*s + 25*s. What is m(c(o))?\nAnswer: -2048*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 9*g**3 + g**2 - 5*g. Let r be u(5). Suppose -4*j + 74 = -3*j - 3*m, 4*m = 4*j - r. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 989 (base 10) to base 6\nAnswer: 4325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 41496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -11. Suppose 0 = -a - 3*a + 8. Let x = -3 - -7. Solve -x = -d*t + a*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 352, 37, -8 in decreasing order.\nAnswer: 352, 37, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/6 (b) -5 (c) -6 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -29*z - 216. Let x be p(-8). Let a = 29 + -21. What is the greatest common factor of x and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 1\/18, 7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -53588886 + 0?\nAnswer: -53588886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -p - 0. Let c(y) = 52*y. Let f(g) = 2*g - 1. Let h(q) = -c(q) + 24*f(q). Calculate the remainder when h(-8) is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26851?\nAnswer: 11, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170553 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2023.593ug?\nAnswer: 0.000002023593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**2 + v + 9. Let q be (-2)\/6 - 580\/348. Let w(f) = 7*f**2 - 2*f - 19. Determine q*w(z) - 5*y(z).\nAnswer: z**2 - z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x**2 - 51*x - 7*x**2 - 4*x**2 + 51*x.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 31*l + 2 - 29*l in the form g + k*l and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1410 and -0.3717?\nAnswer: 524.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*1)**2 + 0 + ((sqrt(272)*-1)**2 - (-5 + sqrt(272))).\nAnswer: -4*sqrt(17) + 1654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/30 and ((-603152)\/(-5088))\/23 - (-1 - -6).\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kffftktt. Give prob of picking 1 t and 2 f.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 12 = -2*i + 4*u, -5*u + 5 = 0. Let j = 38 + -35. Suppose j*r = -2*r - 5. Put 4, i, r, 7 in ascending order.\nAnswer: r, 4, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m - 9*m + 20*m - 2*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 21. Let u = 16 - x. Suppose -g - g + 16 = u*r, 4*g - 27 = -3*r. Solve -g*f + 2*f - 3 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppppp. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(21\/5)\/(f**8\/(f**0*f)) assuming f is positive.\nAnswer: f**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 789336 divided by 10386.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 105*n**2 - 12 - 24 to the form v + p*n + y*n**2 and give y.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1928762.8448 - -5757\nAnswer: -1923005.8448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/6 - 1761*d\/2 + 4824242\/3.\nAnswer: -(d - 1436)*(d + 6719)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42189?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035941 less than 184.0339042?\nAnswer: 183.9979632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 0 - (26 + 2420\/(-154))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(12\/(-15)))\/(8\/80). Let f = -5 - x. What is the remainder when 76 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 7*z - 36 = 0. Let u(n) = 95*n**2 + n + 7. List the prime factors of u(z).\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9855 * -0.3\nAnswer: 2956.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123580101 is divided by 466340.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -344, -5, 5, 468 in increasing order.\nAnswer: -344, -5, 5, 468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 10 = -0*p, 161*p - 1067 = -5*c - 105*p + 208 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1278 + 6562. Suppose 5*y + 2059 - b = 0. List the prime factors of y.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6685.\nAnswer: 5, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**9\/60480 + r**8\/5040 - r**7\/1008 + 7*r**6\/720 + r**5\/12 - 9*r**2. Let y(w) be the third derivative of a(w). Give y(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12448?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39327 in -0.1, -5, -6, 0.4, 3\/4, 0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o = -3*r - 105, -3*r + 45 = 46*o - 51*o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3*1026\nAnswer: 3078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 19 - 2 = 3*m, 0 = -3*m - 5*w + 25. Sort m, -1, -5, -4 in descending order.\nAnswer: m, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-6 - -35) + -18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10334334 and 99898562.\nAnswer: 299695686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3 - 17\/(-3). Suppose x*l = l - 31200000. Round l to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43763*x + 44789*x + 1 - 2 to i + l*x and give l.\nAnswer: 1026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.84 - -15.94. Which is greater: -10.97 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7)\/z**(3\/2))\/((z*z\/(z\/(z**(-3\/2)*z)))\/(z*(z*z**(-3))\/z)) assuming z is positive.\nAnswer: z**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((5*(sqrt(891) + 3) - sqrt(891)) + -3 + 1 + sqrt(891))*-1)**2.\nAnswer: 1170*sqrt(11) + 22444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + p**2 - p. Let w be q(0). Suppose 3*j - 42 = -w*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(180) + sqrt(5))**2.\nAnswer: -78*sqrt(5) + 854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 0)\/(1 + (-9)\/12). Let x(c) be the first derivative of -c**4\/4 + 4*c**3\/3 + 2*c**2 - 5*c + 1. What is x(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + ((2 + 1 - 7) + 9 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4618, -11198, -17778, -24358, -30938, -37518?\nAnswer: -44098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*j - 28*j**4 + 30*j**4 + 9*j**3 - 26 + 17 - 7*j**3 to h*j + i*j**2 + t*j**4 + w + d*j**3 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 251, 1832, 6109, 14432, 28151, 48616, 77177, 115184?\nAnswer: 163987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrcrcr. Give prob of sequence crc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 1411*n + 1331. Let v(a) = 5*a - 2. Let p(b) = -4*i(b) - 108*v(b). Find s, given that p(s) = 0.\nAnswer: -1277, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 4)\/(2\/(-4)). Suppose 21 = u*l + 1. Suppose 3*x - 7 = l. Put x, -5, 3 in descending order.\nAnswer: x, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*s + 86 - 134 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 130446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 65011280 to the power of 1\/3, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(3\/7))\/i)**(-2\/55)\/(i\/((((i\/i**(-3\/4))\/i)\/i)\/i*i))**(17\/2) assuming i is positive.\nAnswer: i**(-32789\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 3*h - 3*h)*(12 - 2 - 39)*(-5*h - 71 + 32 + 35).\nAnswer: -145*h**2 - 116*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*w, 5*x + 35 = -0*x - 3*w. What is the remainder when ((-126)\/30 - -4) + (-1052)\/x is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 - 5*t**2 + 5. Let a = 605 + -606. Let z(s) = -1 - 6*s**3 + 3*s**3 + 0*s**3 + s**2 + 2*s**3. What is a*l(j) - 5*z(j)?\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2. Let i(z) be the second derivative of -71*z**4\/12 + 14*z + 9. What is s(i(w))?\nAnswer: -15123*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -20\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113*h**5 + 1733*h**2 + 40*h**2 + 4*h**6 - 83*h**2 + h**6 - 8*h**6 wrt h?\nAnswer: -360*h**3 + 6780*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.545, -0.5 in descending order.\nAnswer: 0.1, -0.5, -0.545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 9:02 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029 times -0.2?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*a - 46 = -y, 3*a - 222 = -4*y. Let t be (-33)\/2*36\/y. Let q(r) = -r**2 - 24*r - 12. What is the tens digit of q(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2760215.\nAnswer: 5, 173, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = -79*k + 272 + 1055 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 1. Let s = 0.5 - 4.1. Let j = s + -0.4. Which is the closest to 0.2? (a) -1 (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 110301907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 7*c**2 - 7*c - 6. Let q be x(8). What is the third derivative of 7*n**3 - q*n**2 - 12*n**2 + 4*n**3 + n**2 - 2*n**4 wrt n?\nAnswer: -48*n + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 88*s + 480.\nAnswer: 4*(s + 10)*(s + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002422 rounded to five dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23\/42 - 3\/14. Solve w*s**2 - 1\/3*s - 2\/3 = 0 for s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*y + 69*y - 6*y**2 - 4*y**2 - 36*y.\nAnswer: -10*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128409, 127637, 126865, 126093, 125321, 124549?\nAnswer: 123777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 4. Let z be (-2 + t)*0\/2. Suppose z = -2*c + 4*n + 12, 5*n + 1 = 5*c - 9. Let w(f) = -2*f**3 - 3*f**2 - 4*f - 3. Calculate w(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 391, 792, 1197, 1606?\n\"Answer: 2*o**2 + 395*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -412 and 31.\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 5*l + 199031 - 199017, 0 = 2*o - 2*l + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 390.45011, -5\/2, -0.2, 0.5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 847522, 847356, 847080, 846694, 846198?\n\"Answer: -55*k**2 - k + 847578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzkzwqkllz. Give prob of picking 1 l and 3 z.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 5*j + 9. Calculate the smallest common multiple of o(-6) and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 289866934 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 3*g + 23, -33*i + 31*i = -4*g - 28 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188649 is divided by 2858?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 10:11 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.94 - 19.\nAnswer: -21.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000012420233 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/(-14)*48\/(-9) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -2 (c) 25.9 (d) -0.5 (e) -3\/7 (f) 5 (g) -74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 3*m + m - 3 + 3*m - m**2. Let a be b(7). Calculate the greatest common divisor of a and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(65)*-2 - sqrt(65)*-2*2)\/(sqrt(500) - (2*sqrt(500)*-2 - sqrt(500)) - (sqrt(500) - (sqrt(500) - 2*sqrt(500) - sqrt(500))*-1 - sqrt(500))).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3107056950 to the nearest integer?\nAnswer: 55741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, v: 2}. What is prob of sequence vg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2035899 is divided by 6007?\nAnswer: 5533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -32*b**2 + 15*b**2 + 11*b + 0*b + 18*b**2. Let p be a(-11). Suppose 30 = -6*i - p*i. Let t(u) = -u**2 - 5*u + 5. Calculate t(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25848 and 19813896.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 18*v + 164. Let j be n(-9). Solve -1 = -0*q + q - 2*c, q + j = c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (544*h**3 - 173*h**3 - 152*h**3)*(-8*h + 0*h + 6*h) as k*h**4 + b*h**2 + v*h + q + s*h**3 and give k.\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -255511*p - 1788594. Determine l(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4814)\/1162*28\/4.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - 32. Let l be -1 + (f - (-9)\/(81\/(-32))). Which is the closest to 2? (a) -0.3 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.0000024 - 16. What is s rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30725946?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 118\/11309?\nAnswer: 118\/11309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-1)\/((-2)\/12). Suppose -3*y = -2*o + 56, 2*o + 0*o - 52 = c*y. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430102 is divided by 2635.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 86\/3*d - 20 - 4\/3*d**5 - 82\/3*d**3 - 22*d**4 + 42*d**2 = 0.\nAnswer: -15, -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88236882852 + 2\nAnswer: -88236882850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) -21 (c) 0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y = 732. What is the units digit of (y\/(-9))\/(1\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1057415, 2114848, 3172281, 4229714, 5287147?\nAnswer: 6344580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8 - 66\/328. Suppose 2*v + 43 = 49. Suppose 0 = -9*i + v*i. Is w at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 9*x**2 + 8*x - 6. Suppose f = 2*o + o + 29, 3*f = -3*o + 51. Suppose 16 = f*j - 22*j. Give z(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**4\/8 - 4*v**3\/3 - v**2. What are the prime factors of w(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -2, -0.019, -43?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 21283*t**2 - 51*t - 16774. Let u(b) = -10641*b**2 + 24*b + 8383. Let p(o) = 8*q(o) + 17*u(o). Differentiate p(i) wrt i.\nAnswer: -21266*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from forqrafqqoqoqqofqrq.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, k: 2, q: 4}. Give prob of picking 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvh when three letters picked without replacement from hvvvvhhvvkhhhvvvv.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -67*y + 35*y + 35*y. Let i(h) = -32*h. Calculate i(j(a)).\nAnswer: -96*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p - 3. Suppose 4*z - j = 19, 2*j - 4*j = -z + 10. Suppose 17 = z*x + 1. Let b(a) = 4 - 3 + 2*a - 3*a. Give x*k(l) + 11*b(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 148*i**2 + 129*i - 532. What is the derivative of g(l) wrt l?\nAnswer: 296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.032 + 4.968. Put -2\/11, d, 1.1 in descending order.\nAnswer: d, 1.1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/3, -0.06 in increasing order.\nAnswer: -3, -0.06, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 i when four letters picked without replacement from iiiiiini.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-288)\/(-42))\/(-8)*(-5586)\/114?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249800.453 rounded to the nearest 1000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -1\/42*a**4 + 1\/21*a**3 + 0*a**2 + 18*a + 27. Let y(j) be the first derivative of i(j). Suppose y(v) = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**4 - y**3 - y**2 + 1. Let h(k) = 6*k**4 - 3*k**3 - 3*k**2 + 11*k + 3. Let z(x) = -3*d(x) + h(x). What is the second derivative of z(f) wrt f?\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 - (2265250\/(-200))\/((-1)\/(-4)).\nAnswer: 3, 15101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1958063*l - 3916127. Determine v(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**4\/4 + 5*a**3\/6 + a**2 + a. Let n(r) = 7*r**2 + 11*r + 5. Suppose 14*b + 14 = -42. Determine b*n(k) + 9*x(k).\nAnswer: -k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 164341, 165567, 166793, 168019, 169245?\n\"Answer: 1226*v + 163115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 11*f + 99 = 0, -2*m - 4531*f = -4528*f - 27 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -1330123003201?\nAnswer: 1330123003220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -457\/42 + 75\/7. Is u at most -1.24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 2 + 1 - u)*(6*u - u + 0*u).\nAnswer: -20*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + b - 243, -r - 2*b + 45 = -0*b. Let u be 8\/(-8) + (-16)\/(-1). Let i be (-19 + -2)*(-5)\/u. What is the greatest common divisor of r and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115437616 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + -4 - sqrt(3)) + 1)**2.\nAnswer: -36*sqrt(3) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j + 1. Suppose -4*r = -r + 3*v - 30, -2*v + 42 = 4*r. Let z(d) = 7*d - 2. Calculate r*q(o) + 6*z(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**5 + 7727*r**4 - r**2 + 1358?\nAnswer: -120*r**2 + 185448*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.12, 5, -0.0342 in ascending order.\nAnswer: -2.12, -0.0342, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m. Let k(f) = 52*f - 24*f - 42*f - 87*f - 34*f. What is k(r(q))?\nAnswer: -270*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45859370, 183437477, 412734322, 733749905, 1146484226, 1650937285, 2247109082?\nAnswer: 2934999617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -2)*(-34)\/(-8). Let n = w - 20. Is (3 - n)*15\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 13*d**2 - d - 12. Let z be l(-13). Let c = 4 - z. Find the common denominator of 5\/12 and -1*(12\/(-88))\/c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 9*x - 19569. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 448327 and 198220.\nAnswer: 152431180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9348, 9342, 9324, 9288, 9228, 9138, 9012, 8844?\nAnswer: 8628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/3)*(q*q**(-12))\/q*(q**(-1\/6)\/q)\/(q*q**27\/q) assuming q is positive.\nAnswer: q**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 79*d**2 - 88*d - 664. Let y = -68 - -92. What is the remainder when l(-78) is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-5)*944\/(-6). Let l(v) = -v**3 - 8*v**2 - v + 4. Let h be l(-9). Let p = q - h. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/1125 and 35\/18.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306000 and 54900?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(850) + -2*sqrt(850) - sqrt(850))*5)\/(sqrt(10)\/(-6*sqrt(25)\/sqrt(5))).\nAnswer: 300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 98 - -33) + -21.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 53*h - 51*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*-2 - ((sqrt(156)*-1)\/sqrt(12) - sqrt(13))) + ((sqrt(468) + sqrt(468) + 0)*6)**2.\nAnswer: -14*sqrt(13) + 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.1 + -35.2. Which is the closest to 1? (a) d (b) 17 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 16*v**2 - 3*v - 1. Let i be u(6). Suppose -5*f + 2*z + i = 0, 0 = -0*z - 3*z - 3. Calculate the greatest common divisor of 74 and f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 9013648.\nAnswer: -9013650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -60240 (base 7) in base 10?\nAnswer: -14532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 5*c + 23, -1 = -2*l - c - 7. Let f(h) = -255*h**3 - h**2 + 2*h + 3. What are the prime factors of f(l)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4)*9\/54*8. Let u = -22 - -5. Sort 1, w, u in decreasing order.\nAnswer: 1, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 640 and 3815400?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 0, 599, -2, -9, -196 in descending order.\nAnswer: 599, 2, 0, -1, -2, -9, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 6*n**2 - n + 8. Let d(a) = 5*a + 8. Let h be d(6). Suppose 3*f - 5*u - h = 0, f + 3*u + 1 = -5. Let q be c(f). Solve q*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p + 6. Let o(b) = 1. Let n(y) = 3*o(y) - r(y). Let j be n(1). What is the first derivative of 6*t**3 - 9*t**4 - j - 6*t**3 wrt t?\nAnswer: -36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 2 (b) -3 (c) 384\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-6)*28\/(-13). Let d = f - -124\/91. Let k = 6 + -3. Which is the second smallest value? (a) d (b) 1\/7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -16. Suppose 5*a - 32 = m. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51316 - -35431?\nAnswer: 120050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 612 and 1569168.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2636537549 and 1051?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 138*i**2 + 141*i**2 - 248*i**2 - 7*i in the form f*i + a*i**2 + l and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31181839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 - 2.94. Let f be 26\/117 - (-2)\/(-9). Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9265 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 4*i**2 + 6*i - 8. Let t be d(-6). Let l be 8\/(-35) + (-16)\/t. Sort 0, 3, l in decreasing order.\nAnswer: 3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1948 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13426657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + 4*k**4 + 0*k**4 + 10*k**4 + 16 - 16 + (3*k**4 + 2 - 7 + 0)*(-2 + 0 + 1).\nAnswer: 9*k**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 4*j + 12 + 17, 0 = 4*l + 24949*j - 24947*j + 22 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(4 + 1 + -6). Let u(h) be the second derivative of 5*h + 1\/35*h**6 - 1\/7*h**2 + 1\/7*h**4 + 0 - 4\/35*h**5 + 0*h**t. Factor u(a).\nAnswer: 2*(a - 1)**3*(3*a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l - 7. Let o be r(-2). Solve o = -c + 6*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-10 + -22596)) + 7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 - 2*b + 2*b)*(-250*b + 123*b + 127*b - 122*b**2).\nAnswer: -366*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 53*i - 26*i)*(2 - 2 - i - 4 + i + 4 + (3 + 1 - 2)*(2*i - 4*i + i) + 0*i + 2*i - i).\nAnswer: 77*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 + 9*v - 6. Calculate g(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 4. Let n(o) = 1 + 3*o + o**2 + 1 - 10*o. Suppose -m - 24 = -5*m. Let h be n(m). Determine k(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 + 37. What is the third smallest value in -2\/7, d, -0.5, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9)\/((-54)\/(-106))*-12 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1299)\/(-9)*(-3 - -6)?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-21 - (-14 - -2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - 22 - (0 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1076998 and 141 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 128.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*k - 232, k - 15*x + 10*x = 109. Let d = 209 - k. Calculate the highest common divisor of d and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(3) + 1).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -l + a, 3*a + 2 = l - 2*a. Suppose l*o = -2*o + 36. Solve 2*j + j = -o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/190398117 and -17\/138?\nAnswer: 380796234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36894 and 421443.\nAnswer: 10957518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 898455289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -7. Suppose r + 0 - y = 0. What is the units digit of 41\/4 - r\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 158*u + 963. Let j be z(-6). Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -453, -918, -1383, -1848?\nAnswer: -2313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 e when three letters picked without replacement from pppppeepuppppy.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, 0.0612, 11, -2\/23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -39.77 times 14\nAnswer: -556.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4492 + 4493. Let t = 6 + -6. Suppose -5 = g - t*g. Which is the closest to -2\/7? (a) q (b) g (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111021 (base 3) to base 5.\nAnswer: 242411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6 times 0.0558606?\nAnswer: 0.48040116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 11*l + 10. List the prime factors of (-2)\/((-1)\/(53 + l)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l - 42. Let u(x) = -2*x. Determine u(q(r)).\nAnswer: -10*r + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -4332509?\nAnswer: -3\/4332509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1722*u**2 - 2*u**3 - 2*u**3 + 17*u**3 + 1722*u**2.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 341 + 520*i - 341 + (2*i + 0*i - 3*i)*(1 + 0 + 1).\nAnswer: 518*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 = -6*d + 4*z, -d - 4*z + 3205 - 3178 = -3*z for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.62930081 + 33653.\nAnswer: 33656.62930081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -604, 1, -85.\nAnswer: -604, -85, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -2. Does 3 divide z*-2*66\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-1)\/(-2 + 1). Let h = 2 + 3. Suppose 3*z - 7 = -5*f, -13 = z + h*f - 2. Calculate the highest common divisor of y and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6091160414 rounded to the nearest 100000?\nAnswer: -6091200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 6*g**2 + 4*g - 3. Let n be r(6). Suppose -19 = 2*o - 95. Let j = o - n. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000228272 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 9:15 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 110375*v + 662192. Calculate r(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 1\/14, -5051182 in increasing order.\nAnswer: -5051182, -1, 1\/14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*3\/18)\/(((-15)\/(-9))\/5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 866 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 89*w**2 + 1375*w + 581. Determine k(-15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**3 + 66*g**2 - 114*g + 87. Let m(t) = -t**3 - 13*t**2 + 23*t - 17. Suppose -2*h + 28 = 24. Let o(x) = h*f(x) + 11*m(x). Let o(l) = 0. What is l?\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67378 (base 10) to base 5.\nAnswer: -4124003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 33*u**2 - 62*u - 1. Give i(31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h - 10. Let q be o(-4). Suppose -l + 330 = q*l. Suppose 0 = n + l - 305. What is n rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13432604, -13432606, -13432608, -13432610?\n\"Answer: -2*p - 13432602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 513, 1067, 1641, 2247, 2897, 3603?\n\"Answer: 2*h**3 - 2*h**2 + 546*h - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.157, -2\/11, 2\/2375, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1075673 (b) 3 (c) 3\/7 (d) -32\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 441, 474, 435, 288, -3, -474?\n\"Answer: -6*j**3 + 75*j + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 8*b + 28, 586306*b = 586303*b + 4*o + 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3937 (base 13) to base 2.\nAnswer: -1111111011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 213013190701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*n**2 + 141*n**2 + 6*n + 39*n**2 to the form l*n + v*n**2 + x and give v.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.6 - -7. What is the closest to 2 in -3, c, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, e: 4, z: 3}. Give prob of picking 1 b and 2 e.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**33\/u)**50 assuming u is positive.\nAnswer: u**1600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1904 - 3*j**4 - 3*j**3 + 4*j**4 - 1907 + 3*j**2 + 2*j - j**2 as p*j**3 + h*j**4 + a*j**2 + k + z*j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 51, 4 in increasing order.\nAnswer: 0.2, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -423, -858, -1309, -1776, -2259, -2758?\n\"Answer: -8*q**2 - 411*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3173.6 and 1172?\nAnswer: -3719459.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 2)*-1)**2.\nAnswer: 32*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16755 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2874690 to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*z, -87 = -5*z - 5*r - 37. Suppose 0 = j - z*j + 364. Suppose -22*g = 212 - 498. Calculate the highest common factor of j and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s + 3. Let j be -3 + 14 + -6 - 1. Let p(b) = 10*b + 9. Let z(i) = 22*i - 344. Let n be z(15). What is j*p(v) + n*q(v)?\nAnswer: -2*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/5*(-15)\/(-3). Let k be (b - 1)*35\/10. Let u(o) = o + 2. What are the prime factors of u(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 3, 5, 3\/7, 12.9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 9:41 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4170335 micrograms?\nAnswer: 0.0000000004170335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.15?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376813282.\nAnswer: 2, 19, 9916139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42774595 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.04745 - -0.04745. What is the closest to 4 in 3\/4, 2\/9, c, -0.04?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from {c: 6, x: 1, f: 1, k: 1, q: 1, l: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2706 and 1\/20.\nAnswer: 27060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3142434 (base 5) to base 10.\nAnswer: 52869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**4 + u**4 - u**4 + (-23*u - 9*u + 7*u)*(4*u**3 - 5*u**3 - u**2 + 4*u**3).\nAnswer: -72*u**4 + 25*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -412*m - 557. Let q(c) = -150*c - 185. Determine -4*b(f) + 11*q(f).\nAnswer: -2*f + 193","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 167*v**2 - 7354*v + 146. What is h(44)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10440515331 - -8\nAnswer: 10440515339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 + -85. Let v = 0.82 + -0.72. Which is the closest to 2\/5? (a) v (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27484528 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 1103 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -184*j + 12. Is s(-1) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34, 49, 78, 127, 202, 309, 454?\n\"Answer: z**3 + z**2 + 5*z + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -2cc?\nAnswer: -2c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 16 = 3*p + 4, 0 = -2*c + 3*p - 1. Suppose c = s + 5. Suppose s*g = -3*u + 199, -2*g - g = -u + 48. What is the greatest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3042 by 1014.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*z - 4*k + 20 = -39*z, 4*k - 20 = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 13 = -2*s - 4, 1 = -2*r + 5*s. Let t be 20\/15*r - -11. Let b(y) be the second derivative of y**4\/12 - 2*y**3\/3 - 5*y**2 + y. Give b(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21021112201222 (base 3) in base 13?\nAnswer: -a55b28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36776368 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -19\/4 (b) 0 (c) 8592.7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -5. Let m(k) = 191*k + 13. Let f(x) = 951*x + 65. Let p(u) = 3*f(u) - 14*m(u). Is p(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 12:52 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1621*b + 1125069. Calculate v(694).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d = 119 - 11 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*o - 279*o + 310 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(1\/6)*(q\/(q*q**(-3\/4)))\/q**(3\/5)*(q*(q**1*q)\/q*q)**(2\/35)*((q\/(q**0*q))\/q)**1 assuming q is positive.\nAnswer: q**(-43\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + q. Let b(d) = 5*d**2 + 11*d - 1. Let g(s) = b(s) - 6*t(s). Calculate g(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 273\/9761 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 13 = 10*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 18\/10)\/((-176)\/(-440))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -1820?\nAnswer: -1815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 321 - 273. Calculate the remainder when b is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-192)\/480 - 3772\/(-5).\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40291517?\nAnswer: 7, 5755931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 5*k**2 - 2*k - 6. Suppose 3*j + z = 19, -12 = 5*z + 13. Suppose t - j = -13. Let a(n) = n**3 - 4*n**2 - 2*n - 5. Calculate t*a(u) + 4*d(u).\nAnswer: -u**3 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5259, -10866, -16473, -22080, -27687?\nAnswer: -33294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**4\/3 - y**3\/6 - y**2\/2 - y. Let w be c(-1). Suppose 2*u - 12 = -2*u. Solve -u*r + w + 8 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(6\/(36\/(-15)))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 141980303 >= 141980304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 438319 + 49902. Let i = -543878153\/1114 + d. Calculate the common denominator of 5\/6 and i.\nAnswer: 3342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzwrywwyrzzrwwrrrz. Give prob of picking 1 w and 1 r.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43120112263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 - 2*h**2 - 5*h**2 + 11*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**4 + 26155*c**3 + 104608*c**2 + 104604*c = 0?\nAnswer: -26151, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/14)\/((-110)\/77)*8?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**5\/7 - 113788*x**4\/7 - 1618349826*x**3\/7 + 462434432*x**2 - 231225344*x = 0.\nAnswer: -28448, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Let v = 80.6 - 81. Which is the second biggest value? (a) d (b) 0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 + 81 = -10*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -12. Let d be 3 - (-1 + 1)\/(-7). Let j = -17 - -17. Sort j, d, 0.4, w in descending order.\nAnswer: d, 0.4, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 + w**2 - 3*w + 2. Let b(h) = h**2 - 24*h + 3. Let j be b(24). Let q(g) = g**3 + g**2 - g + 1. What is j*q(l) - m(l)?\nAnswer: -l**3 + 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + v + 0*v + v - 5*v + 5*v + (v - 1 + 1)*(2 - 2 - 3).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 16.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -543, -499, -367, -141, 185, 617?\nAnswer: 1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 439 = 3*h, -5*h = b - 418 - 321. Calculate the remainder when h is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.893 + -9886243\nAnswer: -9886244.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6665 - 6659. Let x(c) = -4*c + 5. Let z(s) = -s + s + 4*s - 6 - s. Determine r*x(a) + 5*z(a).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.32 - -0.320172. Round z to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3381 + -3381. Solve y = -67*c + 87*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4883662 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/12 - (30\/(-9))\/(-5). Solve 4*t = -2*p + 4*p + 18, 0 = g*t - 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 5 (c) -1\/2 (d) 3\/11 (e) -20.67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 743 = -809. What is the smallest common multiple of 321 and x?\nAnswer: 3531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.05 to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let z(o) = -362*o. Determine -543*w(a) + z(a).\nAnswer: 181*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4 + 339 - 36 + m. Is a(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 14461 = -4435. What are the prime factors of o?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000796183 to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(1053))**2.\nAnswer: 90*sqrt(13) + 1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -72*k - 13. What is g(-1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 2606502?\nAnswer: -2606505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 62 = q - 3*u, -2*u + 298 = 4*q. Calculate the highest common factor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - i - 4*i)*(i - 5*i + 3*i) + (-5*i + 3*i + i)*(-3 - 27*i + 3) in the form j*i**2 + k*i + o and give j.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/2)\/(-2))\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -2\/11, -2\/13, -16.4.\nAnswer: -16.4, -4, -2\/11, -2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/64 + 33\/64. What is the nearest to -5 in -2, -1\/2, -1.4, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 308 - 221. Let h(y) = 7*y**2 - 7*y + 3. Let u be h(-3). Is b not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlmmmmmmllmmmmlllmm. Give prob of sequence ml.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112995 is divided by 3645.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1961 - 1964.334. Let h = p - -3.2. Let w = 0.073 + h. Round w to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 + -1 + 0 + 3 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhljhwwb. What is prob of picking 1 j and 1 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2202010211 (base 3) to base 16\nAnswer: d321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2776172.\nAnswer: 2, 7, 99149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 57*m - 15. Let n be i(5). Suppose 0 = -p - 4*p + n. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19c6 - 2609?\nAnswer: -4302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -19.64 - 1301.7\nAnswer: -1321.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*6*(sqrt(405) + 0 + sqrt(405)) - (1*(sqrt(405) + sqrt(405) + sqrt(405)*2) + -2)) + -5 + 4)**2.\nAnswer: -504*sqrt(5) + 317521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 + 77.1. Which is the nearest to i? (a) 1.4 (b) -3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 13, w: 2, u: 1}. What is prob of picking 1 h and 1 w?\nAnswer: 13\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26 + -151d?\nAnswer: -1545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -711 (base 8) in base 6?\nAnswer: -2041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10189 - 10193. Let y = -6 - -6.6. What is the smallest value in y, -5, n, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4\/2 + 41*s**3 - 1661*s**2\/2 - 164*s + 3330 = 0?\nAnswer: -2, 2, 37, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10101010010101010000001?\nAnswer: 10101010010101010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -1470577?\nAnswer: -1470603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 7:35 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-6))\/((-1)\/(-2)). Let d = 0 - t. Let h(c) = -2*c**3 - 72*c**2 - 3*c - 108. Let g be h(-36). Which is greater: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1.479, -5\/3, -0.1, 0.15?\nAnswer: 1.479","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5291271*o**2*z**2 + 15*o**2*z + o*z + 23963*z wrt z?\nAnswer: 10582542*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 5. Let f = 32 - l. Let o = f - 18.9. Put 0.06, -1\/8, o in descending order.\nAnswer: o, 0.06, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4549*t**3 - 2*t**2 - 266312 wrt t.\nAnswer: -13647*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.275 - -0.19. Let f = 431.759 + -432. Let m = v - f. What is m rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4741367971 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.99483 times 59?\nAnswer: -5132.69497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2421*l + 219*l + 71201 - 128555 = 188166 for l.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 672 by 12.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, 19\/6, 0.3?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4401.756mm?\nAnswer: 4401756000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o - 2*g - 622, -4*g = 4*o - 520. Suppose 0*s = 2*s - o. Suppose 3*q - 34 = -m + s, 3*m - 4*q = 226. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5677792 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 8:45 PM and 6:04 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-95)\/(16245\/76)*2\/(-8)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 29 = 3*s, -2*p + 5*s = 3*p - 110. Solve 5*f = -4*c + p, 10*c = 13*c - 3*f + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 45\/30*8\/14. Let 0 - 8\/7*a - h*a**3 + 16\/7*a**2 = 0. What is a?\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5*v - 2)*(-4*v + 3*v + 2*v) - 3*v**2 + 0*v**2 + 0*v**2 + (6*v - 4*v - v)*(-2 + 2 - v) + 2*v - 2*v**2 - 2*v + (4*v + 2*v - 5*v)*(-3*v - v + 2*v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9766\/11 - 890. Is 2\/5 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 6:17 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/710 and -32\/781?\nAnswer: 7810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 769 and 157.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -21. Suppose 2*w - 3*m = m + 108, 3*m = 3. Suppose -4*f - 2*u + w + q = 0, f - 5 = -5*u. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.566089 rounded to 2 dps?\nAnswer: -4.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9\/73 (b) -51 (c) -61 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a minute in seconds?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3*g - 33, 2*g - 41 = 5*x + 4*g. Suppose 0 = 5*l + 64 - 94. Let h be (x + 14)*l\/10. Solve -11 = 3*c - 2, -3*p - 15 = h*c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 287913, 287911, 287909?\n\"Answer: -2*j + 287915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-22)*(-1353)\/(-246). Solve g*r = -v - 8, -r + 2*v + 2*v + 6 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 45*g**3 + 2*g**2 - 1. Let o be v(-1). Let z = 76 + o. Calculate the remainder when z is divided by ((836\/(-32))\/11)\/((-11)\/88).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170614065 divided by -1065\nAnswer: -160201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4 + 13013*j**3 - 2521585*j**2 + 5004127*j - 2495556 = 0. Calculate j.\nAnswer: -13204, 1, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*g = -0*n - 88, -n = 2*g - 31. What is the third derivative of -n + 301*b**3 - 301*b**3 - 27*b**4 + b**2 wrt b?\nAnswer: -648*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3 - -2) + -6 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from {t: 4, i: 5, f: 10}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*40858.\nAnswer: 4085.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -401016, -401037, -401058?\n\"Answer: -21*k - 400995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 10*z + 16. Let c = -32 - -23. Let i be l(c). What is the hundreds digit of (i\/(-21))\/(2\/(-690))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g + 46 = -2*g - 34 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3 (c) -204 (d) -0.1 (e) -0.2 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + b + 1. Let n be h(-2). Let f(t) = -t**3 - 3*t**2 + 5. Is f(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 171659\/27 + -6360. What is the common denominator of s and 1\/6 + 285\/(-30)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 2*g - l + 51, -2*l - 8 = 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34195, 36428, 38659, 40888, 43115, 45340, 47563?\n\"Answer: -y**2 + 2236*y + 31960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 10. Let s be y(7). Suppose 0 = -h - 2*q, 0 = -3*h - h - s*q + 4. Find the first derivative of -1 - 4 + 0 - 3*o**h + 3 wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/384 and (-9225)\/190080*-22 + 1 + 10\/(-6)?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -657*m**2*w**5 - 12*m**2*w - 855920*m*w**3 - 2571*m*w + 2*m - 34*w - 80 wrt w?\nAnswer: -13140*m**2*w**3 - 5135520*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(8*-1)*-2)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.483 - 26.583. What is the closest to v in -20, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 + -8 + 6 - (-3 - 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 820, 818, 816, 814?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 45. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19275 by 6425.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -15. Let s = -15 + m. List the prime factors of (-124)\/s + 10\/(-25).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**4\/24 + 3*i**2 - 17. Let b(t) = 6*t. Calculate 4*b(l) - 22*v(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92.197 - 92.9. Let z = 0.66 + s. Let u = -5.681 - -5.481. Is z at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((4 + sqrt(80) + (sqrt(80) + 0 - sqrt(80)))**2 + 2)*4*-1.\nAnswer: -392 - 128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-8)\/(-2))\/((24638\/1358)\/(-127)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + -92 + 26 + (27 - 44 - 5)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v - v**4 - 5*v + (0*v - 2*v + 4*v)*(8*v**3 - 3*v**3 - 2*v**3 + 3*v**2) to the form l*v**3 + r*v**2 + u + i*v**4 + k*v and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 11*v**2 + 2394*v - 4789. Determine u(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.65 - -7.75. Let m = -8 - -6. Let j = m - -2. Which is the nearest to 1? (a) j (b) -6\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 20. Let v(w) = 0 - n + w - 6. Let x(d) = -d - 5. Let i be x(-5). What is v(i)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (-76 + 16 - -34) + -5.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 45*w + 650 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549822?\nAnswer: 2, 3, 7, 13, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + sqrt(1584)*-1)**2 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10260 (base 8) to base 7\nAnswer: -15312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 2\/1259 (c) 0.11 (d) -3\/2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 65.31637ml?\nAnswer: 0.06531637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 513883776 to the power of 1\/2, to the nearest integer?\nAnswer: 22669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 668910165 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = -5*r - r. Let s = r - -215. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*-1)\/((-34)\/(-629)*5661\/4284).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204329 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 56533572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*sqrt(425) - (-1*(sqrt(425)*1 - sqrt(425)))**2 - (((sqrt(425) + 1 - sqrt(425)) + 4)**2 - -2*(0 + sqrt(425))**2).\nAnswer: -877 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -129, -305, -569, -939, -1433, -2069, -2865?\nAnswer: -3839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 4*x + 931 - 951, -12 = 4*x - z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 989876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1178?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -11*v**2 + 39*v. Let y(m) = -65636*m. Calculate p(y(i)).\nAnswer: -47388929456*i**2 - 2559804*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 37\/(-74) + (-91)\/36 + 13 + -10\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 6. Let g(k) = -k**3 + 4*k**2 + k. Let b be g(4). Suppose -b*p + 8 = -t*d - 8, -16 = -4*p + d. Calculate the highest common divisor of 16 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1969478 and -508842.\nAnswer: 1460636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12529143 by -813.\nAnswer: -15411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -20. Let o(k) = k**2 + 9*k + 7. Let m be o(-7). What is the remainder when 44*(-3 + m\/(-2)) is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21453185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -701*j. Let k(p) = -205*p - 75. Let u(t) = -33*t - 12. Let o(b) = 4*k(b) - 25*u(b). Calculate w(o(f)).\nAnswer: -3505*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -44700600?\nAnswer: -44700577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b + 7. Let s be t(1). Let n(m) = -6*m + s*m + 10*m. Let q(p) = -7*p. Calculate q(n(r)).\nAnswer: -112*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**(-6)*u))*u**(1\/4))**(-6\/5)*(u**3\/(u**6\/u))\/(u**(-1)\/(u*u*u**(-4\/5)\/u)) assuming u is positive.\nAnswer: u**(49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9000707 or -9000709?\nAnswer: -9000709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 2*m - 2*j + 12, -2*m + 3*j - 2 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - -3*sqrt(605))**2 - ((3 + sqrt(5))**2 + 3).\nAnswer: -6*sqrt(5) + 5763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9*s**2 + 3*s. Let f(t) = -64*t**2 + 20*t. Let l(u) = -3*f(u) + 20*m(u). Let q = -11757 + 11777. Calculate the least common multiple of l(-1) and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4 = 3*o. Suppose 192 = q + o*q. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-9) - 2) + (678\/(-90) - -8)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.361047nm?\nAnswer: 0.000000008361047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/10)\/y)**(-10\/7)\/(y**(-1\/3))**(6\/23) assuming y is positive.\nAnswer: y**(221\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55 + 44 - (-12 - -8)) + -2 + -2 + -35.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -454 + 456. Solve 0 = -6*m + 28 + s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x**2 - 3*x + 5. Is 3 a factor of w(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p + 7*p - 34702974 = -5461764. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -4) + (1 - (4 + -18) - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 25*i = 15*i - 200 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 23*k + 137. Let r be d(-6). Let n(g) = 28*g**3 + 4*g**2 + g - 1. What is n(r)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-160))\/((2\/32)\/((-84)\/144)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**2 + 17744*q - 1376812 = 0.\nAnswer: 79, 4357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -23*a + 26. Let p(w) = -35*w + 40. Let z(u) = -8*o(u) + 5*p(u). Let h be z(0). Is h at least -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 + -0.2. Let y = 3539.1 - 3536.1. Put o, 0.044, y in ascending order.\nAnswer: 0.044, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 10 = 4*i. Suppose 0 = 4*j - n + 33 - 91, -3*j + 46 = -i*n. Calculate the remainder when -3*(-1)\/6*j is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -60, -108, -196, -336, -540?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -17*b + 274. Let d be q(16). Let o(r) = -7*r - 2. Let l(v) = 10*v + 3. Let k(z) = d*l(z) + 3*o(z). Let c(u) = -2*u. Determine 6*c(s) - 4*k(s).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 398913068 a multiple of 5167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*z + 6 = 0, -z + 3*z = -2. Suppose 5*r = d - m, d - 2*d = 3*r. Which is the nearest to d? (a) 1\/8 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 3)*(3 + 1 + 4)*(-2*h**3 - 3*h**2 + 3*h**2) in the form m*h**3 + w*h**2 + u*h + a and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -5 (c) 98 (d) -0.067 (e) 5 (f) 1 (g) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4874550 to the nearest 100000.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 2 + 2 + q**2 + 2*q**2 to z*q + h + n*q**2 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6. Let m(k) = -4*k - 3 + 6*k + 1. Let v(b) = -3*b + 3. Let r(o) = -4*m(o) - 3*v(o). Let z(p) = h(p) + 3*r(p). Differentiate z(c) with respect to c.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -215515 (base 6) to base 13\nAnswer: -832a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -68, 0.3 in increasing order.\nAnswer: -68, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35581\/30 - 1186. Let s(z) be the third derivative of -1\/25*z**5 + 0*z**3 + 1\/120*z**6 + 7*z**2 + 0*z + g*z**4 + 0. Determine r so that s(r) = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1130 and 54045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002930661778 to seven decimal places.\nAnswer: 0.0002931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1685 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2514313 (base 6) in base 16?\nAnswer: 20d45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = 5*l + 365. Let o = l + 816\/7. Factor -2\/7 - o*h - 2\/7*h**2.\nAnswer: -2*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/10)\/((-14)\/(-1050)*(-1215)\/(-54)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 21. Let u be o(-12). What is the second derivative of -110*t**2 - 24*t + 3 + u*t - 6 + 9*t wrt t?\nAnswer: -220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 10:07 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z**2. Let y(u) = 22*u**2 - 2*u - 2. Let s(k) = -47*k**2 + 5*k + 4. Let t(c) = 2*s(c) + 5*y(c). Calculate t(r(x)).\nAnswer: 2304*x**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*v**2 + 2 + 33*v**2 + 639*v**3 - 1277*v**3 + 640*v**3 + 0*v + v in the form a + c*v + i*v**3 + p*v**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6280836 by -12.\nAnswer: -523403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: c17b (base 13) to base 10\nAnswer: 26635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -11*o - 11. Let u(m) = 2. Let j = 0 + -6. Let c(h) = 0 + 1 - 21*h + 1 + 20*h. Let y(z) = j*u(z) + 4*c(z). What is 6*l(i) - 17*y(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -303*v + 148*v - 408*v**2 + 156*v in the form u*v**2 + m*v + w and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 66393700 to the nearest one hundred thousand.\nAnswer: 66400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15884959 is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 11:26 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 25*w**2 + 479*w**2 + 2 - 2 - w + 227*w**2.\nAnswer: 731*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/(-6))\/((-67)\/(80400\/(-700)))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-95)\/(-1615))\/(2\/(-4)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 74495027969.81 and 7.\nAnswer: 74495027976.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 34 - 147*a**3 + 14 + 162*a**3.\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -777 + 1775. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*a**3*f**2*y - 132*a**3*f*g*y**3 - 3*a*f**3*g*y - 7*a*f**3*y**3 - 2*a*f**3 wrt g?\nAnswer: -132*a**3*f*y**3 - 3*a*f**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + sqrt(49)\/(sqrt(21)\/sqrt(3)) + -5.\nAnswer: -14 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -242 + 1441\/2*j**3 - 724*j + 7\/2*j**5 + 1343\/2*j**2 - 859\/2*j**4 = 0. Calculate j.\nAnswer: -1, -2\/7, 1, 2, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170837.\nAnswer: 170837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 194814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 7*a + 9. Let s = -21 + 29. Suppose i - q + 2 = 2*q, -i - s = -5*q. List the prime factors of u(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 + 77. Let y = -14.25 - -0.25. Let d = -18 - y. Which is the nearest to -0.2? (a) d (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1665 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 2\/13, 1\/5, -23?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**6\/120 - n**5\/60 - n**4\/24 - n**3 - 8*n**2 - 1. Calculate b(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-5)*(-40)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 61*g**2 - 25. Let v(n) = -81 - 77 + 59*n**2 + 121 + 33*n**2. Let m(w) = -8*u(w) + 5*v(w). Differentiate m(j) with respect to j.\nAnswer: -56*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 810, 850, 936, 1068, 1246, 1470, 1740?\nAnswer: 2056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + -3.8. Let x be (-12)\/12 - 4\/(-7). Which is the nearest to 0? (a) x (b) 2\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*q - 1)*(23*q**2 - 44 - 25*q**2 - 12).\nAnswer: 6*q**3 + 168*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/17)\/(r\/(r*((r*r*r\/(r\/(r\/(r*(r*r**(-3))\/r)*r*r)))\/r)\/r)))**(-26) assuming r is positive.\nAnswer: r**(-2158\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23986682*q**3 - 35745305 wrt q.\nAnswer: -71960046*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x. Give d(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19684 by -646.\nAnswer: 518\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -42?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27881 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3505)\/3*(-102)\/85. Suppose -7*i = 7793 - t. Round i to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*q - s, 2*q - 5*s = 21. Suppose -l + q*l - 6 = 0. Solve l*p - 1 = 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 95*t**2 - 127*t - 581. Is r(-57) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18229*k - 12 - 18234*k + 98*k**3 - 27.\nAnswer: 98*k**3 - 5*k - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**3 + 12*a**2 - 39*a + 75. What are the prime factors of d(-17)?\nAnswer: 28771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1020 = -530*p + 581*p for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385956 - g + 385956 + 0*g - 834*g**2.\nAnswer: -834*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1239 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-168)\/(-30))\/(((-16)\/130)\/4). Let w = 187 + b. Solve 2*r = 3*r + w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -383 in 22\/15, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, 10667, -0.1, -0.4 in increasing order.\nAnswer: -6\/11, -0.4, -0.1, 10667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319 + 0.2.\nAnswer: -318.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 65 = 5*y - k, 3*k = 3*y - 33. Let m be (-3)\/y + 10\/8. Sort m, -2, 1\/3 in increasing order.\nAnswer: -2, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/13 and -101\/674.\nAnswer: 8762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000981 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, m: 3}. Give prob of sequence jmmm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k\/(k\/k**(8\/5))))\/k**(7\/4)*k*k*(k*k**(7\/2))\/k*k**(-15) assuming k is positive.\nAnswer: k**(-237\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.00419433 * 0.5\nAnswer: 0.002097165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(125)*1 + -4)*5 - (0 + (-5 + -2*sqrt(125) - sqrt(125)))) + 1)**2.\nAnswer: -1120*sqrt(5) + 8196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*h**5\/7 - 22443*h**4\/7 - 72075*h**3 - 302391*h**2 - 2809836*h\/7 - 1175148\/7 = 0.\nAnswer: -186\/11, -3, -1, 702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*k + 12, 2*n + 0*k + 9 = -3*k. Suppose -z = -4*x - 53, n = 7*z - 2*z + 5*x - 340. What is the highest common factor of z and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3823062 by 1258.\nAnswer: -3039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25331835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 638, -4, 1, -2, -3 in decreasing order.\nAnswer: 638, 1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 1)\/1 + (-324)\/(-162). Let i(o) = 7 - 9*o**2 + o**3 - 9*o - 2*o**3 - o**3 + o**3 - 4*o**k. What is i(-12)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39, 30, -1, -66, -177, -346, -585, -906?\n\"Answer: -2*r**3 + r**2 + 2*r + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8523.\nAnswer: 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8018933 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 16. Let z be (-24)\/(-10) - (-2)\/i. Suppose z*l + 36 = 6*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 15*z - 1. Let a be w(5). Let r = a - 35. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 655032 = 743*m - 687*m. Is 100 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + -2*(sqrt(104) - 2*sqrt(104)) + sqrt(104))*1)\/(3*(sqrt(8) + -5*sqrt(128)))*-5.\nAnswer: 20*sqrt(13)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 11*i - 28. Let u be s(-7). Is u smaller than -7\/401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpcp when four letters picked without replacement from {c: 15, p: 4}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**4 + 86145*x**3 + 618284181*x**2 - 1855627929*x = 0?\nAnswer: -14359, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0155521 and 36020.\nAnswer: 36019.9844479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0351 and 204934.8.\nAnswer: 204934.7649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -834110 (base 9) in base 14?\nAnswer: -cc5cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (-14 - -4) + -21 + 3.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k - 12. Let b(d) = 78*d - 176*d + 93*d + 13. What is -5*b(m) - 6*t(m)?\nAnswer: m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(15\/(-195)) + 6\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.32 - -0.3. Let v = -0.28 + q. Suppose -5*t + 29 = -4*j, -j + t = -268 + 274. Which is the closest to -0.1? (a) 4 (b) v (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-814 - 2284 - 203 - 68)*(-p - 3*p + p) to the form a*p + b and give a.\nAnswer: 10107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h + 16. What is j(7)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2939 - -3200. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 138*a**2 + 560*a + 1320. What is f(142)?\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1023052 and 7.\nAnswer: 7161364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/5))\/k*k*k*k**1)**(-50) assuming k is positive.\nAnswer: k**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 10*z**2 + 0*z - 31*z**2 - 51*z - 29. Let d(w) = 4*w**2 + 10*w + 6. Let s(b) = 11*d(b) + 2*x(b). Suppose s(k) = 0. What is k?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 1792*u + 80988.\nAnswer: 4*(u - 397)*(u - 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/67410 and 173\/27090.\nAnswer: 2898630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7154 divided by -2\nAnswer: 3577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/10 - 10\/25. Let w be u + -1 + (-1 - -3). Solve 6 + w = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57*w**4 - 72*w - 11354 wrt w?\nAnswer: 228*w**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d - 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 375.\nAnswer: -2, 3, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -532 - -970. Let a = c + -436. Solve k = -a*k - 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p - 3. Suppose 4*h = -h + 145. Suppose 2 = 9*c + h. Give q(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 220086293.\nAnswer: 110043146.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000105156864 to seven dps.\nAnswer: -0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*f + 35*f - 171 = 29*f. Which is the second smallest value? (a) 0.1 (b) f (c) 0.4 (d) 3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/171 in 32, 3, -3515?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*4 + (-95)\/19. Suppose 0 = 2*h + 2*d - 3074, 2*h = f*h + 3*d - 7681. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.32 + 10. Let v = -0.02 - w. What is the nearest to 1\/3 in 3\/2, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 s, and 1 j when four letters picked without replacement from {j: 2, x: 1, g: 4, p: 9, s: 3}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 5:08 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 400.374113 - 0.1?\nAnswer: 400.274113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.9, -2\/3, -3\/5, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 31 = -496. Let o be (-2)\/(-28) - 40800\/448. Let i = o + b. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.41 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.569334299199 - -0.5.\nAnswer: 3.069334299199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + ((sqrt(288) - (-1 + sqrt(288))) + 3 - 5*sqrt(288)*-5))*-1*-4)**2.\nAnswer: 76800*sqrt(2) + 11520256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*2*5*-3 - ((sqrt(68) + 4)**2 - sqrt(68)\/sqrt(4)*3).\nAnswer: -43*sqrt(17) - 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 9*n + 441. Let i be f(0). Let z = i - 378. What is the remainder when z is divided by 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439142 is divided by 513?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 67068607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 12240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.576596 meters in nanometers?\nAnswer: 2576596000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 2*x - 18, 9 + 14 - 20 = 3*i + 5*x for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0199146 to 3 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 4*l - 13)*(-22*l + 11 - 11 + (0 + 1 + 0)*(0*l - l - l)) in the form y*l**2 + p*l + j and give y.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 18 = -4*q, 23 = -5*q + 530*o - 527*o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w + 43. Calculate i(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**2\/2 + 4*y + 27. Calculate z(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*s + 40. Let y be 84\/s + (-9)\/(-6). Let u(r) = -2*r**2 + 35*r - 99. Let w be u(14). Put 1, y, w in decreasing order.\nAnswer: y, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 2)*(2*s - 2*s + s) - s + 4*s - s)*(-16 + 28*s + 68 - 25*s).\nAnswer: 9*s**2 + 156*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*n - 1. Suppose 0 = -5*v - 25, n*t = 3*t - v - 37. Let r = t - 30. Solve -5*b + 2*q = r, 3*q - 3 = -5*b - 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/5))\/((b\/((((b\/(b\/b**(-1)))\/b*b)\/b)\/b))\/b))**(-37) assuming b is positive.\nAnswer: b**(444\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -33071*f + 22592. Let b(y) = 11015*y - 7531. Let r(m) = 11*b(m) + 4*x(m). Differentiate r(j) with respect to j.\nAnswer: -11119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36, 132, 292, 516, 804, 1156?\n\"Answer: 32*s**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 4*j - 6. Let r be c(-5). Let d be (7\/(-35))\/((-3)\/20). Sort r, d, 6.\nAnswer: r, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -312947157\nAnswer: 938841471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4903 is divided by 224.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2868412 by -9.\nAnswer: -2868412\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9801, -9777, -9731, -9651, -9525?\n\"Answer: 2*u**3 - u**2 + 13*u - 9815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(8\/3))\/(r**(-2\/7)*r*r))\/(r\/(r*r**(1\/7))*r*r**8*r) assuming r is positive.\nAnswer: r**(-145\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 23.05.\nAnswer: -391.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1, -9390?\nAnswer: -9390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1395926 by -102.\nAnswer: 697963\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081799835 a multiple of 3859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188117362.\nAnswer: 2, 31, 3034151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-2 - -8))\/(0 - 1). Let g = -106.9 - -107. Which is the smallest value? (a) l (b) -4\/3 (c) 0 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15939, -31674, -47409, -63144?\n\"Answer: -15735*k - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102320745?\nAnswer: 3, 5, 6821383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 h when three letters picked without replacement from nnuhnhnnnngnhunhghg.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*x = 15*x + 44898383 + 41486344. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19 - (-15)\/(-5) - 2\/(-1). Suppose -2*i + 22 = 5*j, -4*j + a = 4*i - 7*j. Calculate the greatest common divisor of i and 216.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**3 - 9050784*c**2 + 36203184*c - 36203200 = 0.\nAnswer: -2262700, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 199038 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839038.\nAnswer: 2, 103, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9070, 36290, 81654, 145156, 226790, 326550, 444430?\n\"Answer: -g**3 + 9078*g**2 - 7*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2 + 2)*(7 - 7 + 11*l**3) + (-3*l**4 + 2*l**4 + 0*l**4)*(-2 + 1 - 1)*(-1 - 4 + 3).\nAnswer: -26*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 538?\nAnswer: 27976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 439505690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1558*h**2 - 29*h - 1558*h**2 + 29*h - 289*h**3.\nAnswer: -289*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -544 - -460. What is the common denominator of v\/(-2)*38\/(-627) and -15\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*x**3 + 45*x - 22*x - 16*x - 15*x - 20*x**3 - 4*x**2 to the form y*x**3 + q*x + z + b*x**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 42 = -312. Let o(b) = -b**2 - 16*b - 21. Let m be o(-16). Let k = m + u. What is the greatest common factor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 - 106 = -14*n. Suppose -2*o + 9 + 19 = 2*h, 5*o - 10 = h. What is the smallest common multiple of h and n?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j + 3 - 1 - 5. Let f be r(-2). What is the units digit of 7 + (f - (-1 - -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 20. Suppose n + 58 = -43*k + 41*k, -4*k - n = 114. Let d be (0\/k)\/(z\/(-1)). Solve d = -4*c + 8 + 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02966 * 7.2.\nAnswer: 0.213552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3114 and 444186?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 3, 1\/10, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -270400 rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 203\/(-33) + 11\/33 + 6\/1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 1314?\nAnswer: 13140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3615 + -7233\/2. Sort 0.3, p, 889 in decreasing order.\nAnswer: 889, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 11*r**2 - 11*r - 12. Suppose 55 = -6*c - 5. Let v be p(c). Does 10 divide -6 + 47 + 0\/(6\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.23224 grams in micrograms?\nAnswer: 16232240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 38*m**7\/3 + 603*m**3\/2 - 136*m**2 - 6*m. Find the first derivative of g(j) wrt j.\nAnswer: 10640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1183 and 611?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-8))\/((-1)\/52). Let c(a) = -6*a**2 - 7*a + 13. Let m(z) = -z**2 - z + 2. Let u(g) = w*m(g) + 6*c(g). Suppose u(o) = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -418919 - 0.0333\nAnswer: -418919.0333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -q - 5*h, -3174 + 6723 = -4*q - h + 3370 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 1:01 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 273*c**7\/5 - 2142*c**3 + 5853*c**2. What is the first derivative of j(f) wrt f?\nAnswer: 45864*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1104 + -4532065?\nAnswer: -4533171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 + 2 + 106*u**3 - 107*u**3 + 6 + u**2 in the form f + r*u + b*u**3 + n*u**4 + m*u**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 3 + 2\/3*k**3 - 8*k + 9\/2*k**2. Let r be t(-8). What is the highest common divisor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-7)*1\/2*-1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*z = 969, -5*t + 3*z - 2*z - 973 = 0. Let l = t + 1368\/7. Which is the nearest to l? (a) -0.1 (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 - 4*w**2 + 6*w + 3. Let b be n(-3). Let x(z) = -45*z. Let f(m) = -22*m. Calculate b*x(q) - 5*f(q).\nAnswer: -25*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**3 - 1. Let o be z(-1). Suppose t - 5*x = -162, -3*t = 2*x + 101 + 351. Let r = t - -159. Solve o*a = r + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 4. Suppose 0 = -5*u - 0*m - n*m + 13, u + 19 = 5*m. What is the least common multiple of 20 and 32\/(-6)*(-3)\/u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 take away 11058155?\nAnswer: -11058153.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y - 8. Let t(k) = 20*k + 23. Let u(j) = 17*i(j) + 6*t(j). Determine u(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118628287*k**3*o**3 - k**2*o**3 + 28*k**2 + 2*k*o**3 - 74408*k + o**3 + 1 wrt k?\nAnswer: 711769722*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 60 = 46*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 5 + (-8 - -2) + (-47 - -21)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 - 1 - (-28 - -19))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 404118 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60421*j**4 - 137358*j**2?\nAnswer: 1450104*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-346)*-4*(-7)\/(-4). Is s > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 9*f + 35. Determine b(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6028 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 6:20 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1.96. Let o be 14 - 3276\/105 - -17. Which is the nearest to h? (a) 2\/23 (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/67? (a) -3\/4 (b) 3 (c) -5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11800 divided by -2360.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {a: 8, v: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*m + 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10084 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/18 - (-10)\/(-45). Solve w - 3 = 2*w + 4*l, -5*w = 3*l - t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*j + 10 + 14, -2*j = 8. Solve -3*x + 5*n - 4 = 0, -2*n - 4 = h*x + 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4213 and 78898?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 11*n = -12*n + 6, 16 = x + 5*n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 38*p**2 - 55*p - 237. Determine v(-5).\nAnswer: 988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.97162 take away 5793602.1?\nAnswer: -5793598.12838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/21 - -5\/21. Let g = 91\/5 - 18. Let l = 245 + -245.4. What is the closest to d in -2\/21, l, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 6628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/6))\/(m\/m**(-14)) assuming m is positive.\nAnswer: m**(-83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 857*l - 1712*l + 5*l**3 + 854*l - 156 as p*l + x*l**3 + v + h*l**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1712 and 384476?\nAnswer: 164555728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - h**2 - 47*h - 33. Let t(k) = k**3 - k**2 - 25*k - 17. Let f(w) = -4*b(w) + 7*t(w). Calculate f(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**2 + 4. Let j(b) = 14*b**2 + 11. Let g(h) = h - 6. Let c be g(-6). Let r = -8 - c. Give r*j(w) - 11*k(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, 3, -2\/5, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxiizizxizu. Give prob of picking 1 x, 2 z, and 1 i.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*o - 0, 2*w - 3*o - 69 = 0. Let x be (-111)\/(-6) + 7\/(-14). Calculate the highest common divisor of x and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401850, 401848, 401846, 401844, 401842?\nAnswer: 401840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from {f: 2, v: 1, d: 4, u: 1, b: 6, z: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -7*k + 5*k - 525379, -3*k = -z + 175117. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23318399*c**3 - 663474890*c wrt c.\nAnswer: -139910394*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 408*v - 35217. Give s(124).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 238, 613, 988, 1363, 1738?\n\"Answer: 375*a - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/59)\/(29 + (-1653)\/58).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1396202, 2792295, 4188388, 5584481, 6980574?\n\"Answer: 1396093*z + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 17165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 237730 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 9*g**2 + 10*g. Let r be m(10). Let j(c) = -c**2 + c + 2. Let b be j(0). Let p be 0 - -1 - b\/8. Is r smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by 410673.\nAnswer: -43\/410673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 81283773?\nAnswer: 81283766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 16 + 11 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6*b*b**5)\/(b**(-2\/5))**(-1\/4)*b**(-2\/23)\/(b*b**(-1))*(b\/(b**(-3)*b)*b*b)\/b**(2\/3) assuming b is positive.\nAnswer: b**(11141\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88\/91 - 6497\/1092. What is the common denominator of -8\/63 and l?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9659 divided by -75?\nAnswer: 9659\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 170*a + 172*a = 17, 90*a + 42*a - 162 = 6*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5076154 is divided by 1015221?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(0*m + 0*m - 2*m) - 5 + 5 - 2*m - 5*m + m + 3*m - m + 2 - 2 + 3*m - m - m - 18*m + 12*m - 13*m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzyyyz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1 (b) 4\/151 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 11*w - 52. Let n be b(12). Suppose 5*a + 5*u = u + n, a - 4*u = 16. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -0.2 (b) 48\/103 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24951 is divided by 24772?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 577513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0 = -w + 11, -4*j = 3*w - 45. Let l = j + -16. Suppose 0 = -3*q + q + 5*h + 25, 5*q = 3*h + 34. What is the closest to 0.1 in 2\/13, l, q?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4 - 37908*z**3 - 2938572*z**2 - 57183516*z = 0. What is z?\nAnswer: -9399, -39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4785*i + 7*i**3 - 4785*i.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 10*h - 11. Let p be u(-4). What is the remainder when 57 is divided by 3 + (p\/(-3))\/1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3324191 (base 12) to base 8.\nAnswer: 45150775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115753 is divided by 28937?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6887 - -6898. Calculate the lowest common multiple of 477 and l.\nAnswer: 5247","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120847 divided by -275?\nAnswer: -120847\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1736?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3 + 500002*o - 1 - 5 + 3. Let v be c(3). Round v to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -119 + 175. Let z be -6*(1 + 0) - 2. Let b = -1 - z. What is the greatest common divisor of m and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -574\nAnswer: 22.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 847300 to the nearest ten thousand.\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1. Let o(p) = -3*p - 21. Determine -12*f(u) + o(u).\nAnswer: -3*u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3*x + 204 - 5234, y = x + 2513. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 2, 0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**6\/1800 - n**5\/600 - n**3\/3 + 10*n**2 + 2*n. Let d(q) be the second derivative of s(q). Factor d(r).\nAnswer: r*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7443 and 2167.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4815 and 2039400?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 13.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 400 divided by -20\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(10\/(-3) - -4). Let u be i - ((3 - 4) + -2). Let v = 0.1 - 0.2. Put u, 5, v in ascending order.\nAnswer: v, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 0 + -1 - 1. Let j = r + -6. Does 24 divide (4\/10)\/(j\/(-300))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367 - 367 + 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61058.9 years to millennia.\nAnswer: 61.0589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254192 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 61 + -53 + 3 + (4 - 18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -836*t. Let x(i) be the third derivative of -i**5\/30 - 1314*i**2. Give x(g(w)).\nAnswer: -1397792*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4*(1 + sqrt(208) + sqrt(208) - sqrt(208)) - 3*sqrt(208)*-5) + (0 + sqrt(208) + (sqrt(208) - -2*sqrt(208)) + sqrt(208) + 4)*1)**2.\nAnswer: -128*sqrt(13) + 53249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*a**3 + 46*a**2 + 62*a**3 + 52*a**3 - 12 + 2*a - 183*a**3 to s*a**2 + d + c*a**3 + q*a and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -3*h - 5, 11*h + 35 = -2*g + 20*h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18\/1*((-200)\/(-30))\/5 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6 + 10 - 4 - 2*n. Let t(l) = -37*l**2 + 4. Let v(d) = -146*d**2 + 15. Let g(y) = 15*t(y) - 4*v(y). Determine g(r(c)).\nAnswer: 116*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1924.4 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/9 or 99\/64?\nAnswer: 99\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/((-2480)\/96))\/((-9)\/(-75)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4140)\/(-15))\/(822\/7809*3*(-19)\/(-3))?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -3 - 4 - -7 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + (sqrt(315)*2)\/((sqrt(20) - (sqrt(20)*1 - sqrt(20)))\/sqrt(4)).\nAnswer: 7 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 10*o**2 - 20*o - 1. Let t be l(-8). Calculate the highest common factor of t and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-5)*(11\/(-11))\/(-9)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 634*d + 1021*d - 1917*d.\nAnswer: -262*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**8\/24 + 11*t**7\/35 + 13*t**6\/15 - 106*t**5\/15 - 24*t**4 - 64*t**3\/3 + 3*t**2 + 2. Suppose k(v) = 0. What is v?\nAnswer: -2, -1, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1596)\/266)\/((-9)\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 k when four letters picked without replacement from vqvqvqqvkkqvq.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78772, 157421, 235962, 314401, 392744, 470997, 549166?\nAnswer: 627257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*1\/((-6)\/91). Let f = u + -265\/6. Which is greater: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 264 - 263. What is the closest to z in -0.2, -3\/2, -2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 - (-14)\/4. Suppose -5*x - 12 = -k, -s*x = x + 8. Solve -i - 5*b - 10 = 0, -7*i - 23 = -k*i - 2*b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 2*k - 12, -3*b - 31428 = -10*k - 31467 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 13*w. Let d(s) be the second derivative of -77*s**4\/12 + 16*s + 16. What is z(d(m))?\nAnswer: -1001*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -640*k - 15874. What is h(-23)?\nAnswer: -1154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 416 + -367. Solve -r*u - 42 = -56*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1488 - 2788. Round c to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3 + sqrt(1053))**2 + sqrt(1053)).\nAnswer: 252*sqrt(13) + 4248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -592 + 294. Let s = -58 - j. Let i = -117 + s. List the prime factors of i.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251496716 divided by -2\nAnswer: -125748358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence woo when three letters picked without replacement from {h: 2, m: 2, w: 7, o: 7}.\nAnswer: 49\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -38. Suppose -4*q = -9 + p. Let v(n) = n**2 + 4*n - 2. Calculate v(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 799.55352ns in hours?\nAnswer: 0.0000000002220982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -57394, -1, 117 in descending order.\nAnswer: 117, 5, -1, -3, -57394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 - 3*l**4 + l + 3 - 9*l**4 - 2*l**3 + 15*l**4 to p*l**2 + r*l**3 + s*l**4 + a*l + m and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4033 (base 12) in base 6?\nAnswer: -52103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10 + (38\/342 - 2\/(-9))*15. What is the nearest to f in -7, -0.4, 1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -11*h**2. Let i(l) = -9*l**2 + 2*l + 970382. Give i(y(m)).\nAnswer: -1089*m**4 - 22*m**2 + 970382","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + ((-7280)\/2556 - -4). Let q = h + 5\/71. What is the second biggest value in q, 2, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 3. Let r(s) = 4 - 2 + 0 - 3. Let z(d) = -6*r(d) + 2*t(d). Let i(u) = -u. Calculate i(z(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 2) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and -1*(1 + (-25)\/5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -448*n + 3. Let t be y(-3). Let q = 2627\/2 - t. What is the common denominator of q and 45\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416074 less than or equal to 416074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 308623 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/9))**(-2\/41)\/(u**(-9\/2)\/u**(-2\/31)))**(-10\/13) assuming u is positive.\nAnswer: u**(-502415\/148707)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**(4\/7)))\/(w*w\/(w*w**1\/w*w*w)))\/(w**(-2\/7))**(-20))\/((w**(1\/4))**(-8))**(-1\/68) assuming w is positive.\nAnswer: w**(-993\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 36 = 60*l - 56*l, -j = -2*l - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 18.8.\nAnswer: 1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/14)\/((-2)\/14). Suppose 0*d - 3*m = -2*d + 16, 0 = -s*d - 5*m + 10. Put d, -1\/6, -3\/5 in descending order.\nAnswer: d, -1\/6, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -180? (a) 2 (b) -3 (c) 3 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 782263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)*2 + sqrt(128) + 5)*-4 + 1*sqrt(98) + sqrt(12)\/sqrt(6)*1 + 4)*-3.\nAnswer: 48 + 264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**4\/8 + y**3\/6 + 12*y**2. Let t be f(-2). Suppose t*l - 654 = 1117. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b + 13. Let g(q) = 4*q - 25. Let c be 24\/(-34)*1309\/(-154). Give c*g(o) + 13*t(o).\nAnswer: -2*o + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -8 + 8 - (8 + -3 - -5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -94 - (-63 - (-1 + 8))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1332, 2700, 4142, 5694, 7392?\n\"Answer: 6*l**3 + l**2 + 1323*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**5 - 550*k**4 + 16190*k**3 - 58840*k**2 + 71285*k - 28090 = 0.\nAnswer: 1, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110 + -1?\nAnswer: 100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*a + 3320, 2*a + 2*q - 118 = 1522. Is 824 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(325) + -5 + sqrt(325) + 1*sqrt(325)*-3)**2*-5.\nAnswer: -1755 - 250*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -11401?\nAnswer: 11354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16863 and 27.\nAnswer: 151767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2*w*w\/(w**(1\/4)\/w))**(-22))**(2\/73) assuming w is positive.\nAnswer: w**(-209\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 11:12 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5008391.14 rounded to the nearest one thousand?\nAnswer: -5008000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*z + 3*x + 20, 2*x = -5*z + 8. Solve z = -4*n + 68 - 80 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 97, 180, 263?\n\"Answer: 83*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5292 and 54?\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -26 + 6. Suppose -z*n - 6 = -3*v, -6 = -3*v + 15*n - 14*n. Solve 2*j + v + 4 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 5:23 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-5))\/(4\/(-10)). Is (-209)\/(g - (-3)\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7568562 weeks to minutes.\nAnswer: 7629.110496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3*d**3 - 14*d + d**3 + 14*d in the form k*d**3 + r*d + a + f*d**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 6894733.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150739 is divided by 5105.\nAnswer: 2694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02059 rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 27648\/5*j + 1 + 1\/10*j**4 + 48\/5*j**3 + 1728\/5*j**2. Determine q so that l(q) = 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/98 and -85\/84?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/5 and 1\/130412.\nAnswer: 652060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 + -2.6. Let z = -0.3 + 0. Let o = 0.2 - z. Which is the second biggest value? (a) o (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-15))**(-14\/11)\/((a\/a**(-2\/23))\/a*((a\/(a**22*a))\/a*a)\/a) assuming a is positive.\nAnswer: a**(10627\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 8*w - 6. Let n(m) = -1399994*m + 18. Let a be n(w). Round a to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35786959?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h + 1. Let a be q(-1). Let u be 169 + (-2 - (a - -2)). Find the common denominator of 161\/u - 1\/3 and 67\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.43 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-15)*6\/20.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35707*c**3*x**2 - c**2*x**2 + c**2*x + 2*c**2 + 3241*x**2 wrt c.\nAnswer: -214242*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-15)*(-450)\/(-60).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-10)\/w*w)\/w)\/w**(1\/24)*(w**(8\/9)\/w)\/((w\/(w*((w**(-17)*w)\/w)\/w))\/w) assuming w is positive.\nAnswer: w**(-1883\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 4*s**2 + 3*s + 3. Let j be n(-3). Solve 2*o = j*o + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u - 7*v = 16*u + 21*u - 77, 4*v + v - 27 = -4*u + 28 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 2, 64, -5 in increasing order.\nAnswer: -5, 0, 2, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**9\/1512 - v**8\/210 + v**7\/210 + v**6\/45 - v**5\/20 + 19*v**3\/3 + 23. Let h(i) be the third derivative of x(i). Factor h(g).\nAnswer: 2*g*(g - 3)*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 70 = 4*t. Suppose 0 = 3*u - k - 7, u - 12 + t = 3*k. Suppose -8*r**3 + 4*r + 23*r**3 - 19*r**3 - 12*r**4 + 12*r**u = 0. Calculate r.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.07, 1.8, -4568, -4, -0.3?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2099*z + 13970. What is w(-7)?\nAnswer: -723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/12, -1\/2, -2, -0.321?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1 = 4*z + 10, 0 = -5*q + 4*z + 21. Let i = -112 + 118. Suppose i + 0 = -2*p, -2*g - q*p = -21. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 plus -18.9?\nAnswer: 622.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 147160954 a multiple of 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 236 + 0.091.\nAnswer: 236.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(-2\/19)\/g))\/(g**(7\/3)*g*g))\/(g**1)**(3\/17))**(-9\/4) assuming g is positive.\nAnswer: g**(3495\/646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22390, 44779, 67168?\nAnswer: 89557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8.663610239 and -0.5.\nAnswer: 8.163610239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/2*-41 - 0. Let c = -14 + r. Suppose -5*t + 12 = -j + 2, -3*j - 4*t + c = 0. Calculate the least common multiple of 11 and j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-51)\/(-17) + 0\/(-1). Suppose d*a = -0*a + 12. Suppose 2 - 8 = 2*g, w = -2*g - a. What is the biggest value in -2, -4\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.36 - 0.359961. Round j to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from ccuawuax.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12824265?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + v - 3 = -2*c, -c = -4*v + 12. Suppose -o - 4 = c, -4*a - o + 24 = -3*o. Let p be (-3 + a)*(0 - 1). Round p to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 2*w**2 - 8*w**3 - 17 + 46 - 13 as m*w**2 + i*w**3 + a*w + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*f**5 - 11*f**5 + 17*f**5)*(-2 + 2 + 2).\nAnswer: 38*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - -2 - 1 - -2. Let g = -3 + t. Suppose -g*p = -p - 70000. Round p to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -231, 1, 295, -5, -85 in decreasing order.\nAnswer: 295, 1, -3, -5, -85, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 25 - 40. Solve 0 = -4*m + 5 + j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 14440*s - 52128400.\nAnswer: -(s - 7220)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/24*12\/9. Determine y so that -b - 1\/6*y + 1\/6*y**3 + 1\/6*y**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 8:02 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6973 or 6986?\nAnswer: 6986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 14. Calculate the common denominator of 36 and k\/(-9) - (-137)\/24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96 - -287\/3. Suppose 0 = 4*p - p - 54. Which is greater: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/((u**18\/u)\/u)*u*u**8 assuming u is positive.\nAnswer: u**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 607600 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-82)\/1435)\/(1\/(-5)). What is the third smallest value in 2\/13, b, -3\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3718, 3719, 3720, 3721, 3722, 3723?\n\"Answer: f + 3717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jijjijiijj. Give prob of sequence iiij.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 2*p + 3*p - 15*p**2.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/90 and (2 - (-183)\/(-150)) + (-12)\/9.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 5*k**2 - 4*k + 2. Let b = 23 + -11. What is the least common multiple of x(-5) and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 i when three letters picked without replacement from oiiooooaiiaai.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 5*p + 1. Let k(u) = u + 0 - 6*u + 0*u + u**2 - 2. Let y(m) = -5*k(m) - 6*q(m). Let r be (-5)\/3*(-12 + 9). Give y(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/3)\/((-5)\/30). Let f(p) = -4 - 2*p + 7 - o + 0. Give f(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77492772523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 806 and 4238?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3 - 27 = 0. Suppose a*k = 11*k. Suppose 2*d - 10 = -3*d. Solve k = -4*m - 4*b, -2*m - 3*b = 2*m - d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*t + 18 = 8, 26 = 5*z + t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1724 times -146\nAnswer: -251704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3008, 711, -1624, -4015, -6480, -9037, -11704?\n\"Answer: -3*h**3 - h**2 - 2273*h + 5285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294 (base 13) to base 5.\nAnswer: 3314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*3 + ((sqrt(130)*3)\/sqrt(10) - sqrt(13)) + (5 + 0 + sqrt(13) + 0 + sqrt(52)*2)**2)*-3.\nAnswer: -1050 - 174*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 * 4.856.\nAnswer: -131.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-28)*12\/39\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 390*a + 608. Let j(m) = 98*m - 152. Let g(w) = -9*j(w) - 2*q(w). Differentiate g(f) wrt f.\nAnswer: 4*f - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*g*p**3 + 2*g*p**2 - 2*g*p + g + 2232*p**2 + 4034986 wrt p.\nAnswer: 390*g*p + 4*g + 4464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -11*j + 6*j + 115, -9*u - 2*j - 179 = -4*j for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**4\/3 - 2*s**2 - 39*s. Suppose -40 = 9*v + v. Let o(h) = 4*h**2 - 5. Calculate v*o(k) + 5*z(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = k + 5 - 11, -3*k - 3*d = -6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 40*h**2 - 1532*h + 460. Determine c(38).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20778948 or -20778931?\nAnswer: -20778931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13c (base 13) to base 14\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 50, 57, 64, 71, 78?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -7. Suppose 0 = -2*c - b*y + 6, -6*c = -11*c + 3*y + 36. Suppose -f - 2*f = -c. Solve -3*l = f*o - 1, l + 5*o + 8 = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 450*y**2 + 9*y - 226*y**2 - y**3 - 222*y**2 + y**4 - 44*y to the form x*y + f*y**3 + c*y**2 + p*y**4 + m and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = t. Suppose -4 = -4*i - 2*x, 0*i + 3*x = 5*i + t. Solve -3*c - 4*g + 5 = -i, -8 = -4*c - 4*g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*a + 291*a + 1478 + 1892 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 128.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 218 - 358 = 0. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8316 and 1001.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 14 = 5*v + 57, 5*z = 5*v + 75. Let c(i) = -i + 20. Suppose -3*u + 52 = u - w, 4*w = 3*u - 26. Calculate the remainder when z is divided by c(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*n**4 - 657*n**3 + 11804 wrt n?\nAnswer: 12*n**3 - 1971*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-2))\/(-70*225\/(-21000)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-6))\/((-1)\/(-4)). Suppose -475 = -3*l - y*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 0*h + 7*h)*(-7 + 55 + 50) to the form t*h + w and give t.\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17133830 to the nearest integer?\nAnswer: 4139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*b + 140 = 0. Let z = -5484 - -175469\/32. What is the common denominator of ((-45)\/b)\/(4\/(-14)*1) and z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1717254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*c + 150*c = 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.2. Let z = 445805\/44 + -40527\/4. What is the closest to g in 8, z, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from wmmmkmmkmozwkzzo?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbigbuq. Give prob of picking 2 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/4)\/((-34)\/2176*-60))\/((-209)\/(-165)).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/((-2)\/76). Let u = d + 14. Let l = 190.7 + -191. Which is the nearest to 1? (a) 0 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, f: 1, j: 7}. Give prob of sequence jv.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 47.849229s?\nAnswer: 0.0132914525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -10252\/39, 3, 5, 0.4, -1 in decreasing order.\nAnswer: 5, 3, 4\/5, 0.4, -1, -10252\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 7*l**2 + 4*l + 14. Let f be 54\/(3 + -1) + (2 - 1). Let j = f - 21. What is the tens digit of z(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 8 = -3*a. Solve -3*i - 2*r = 20, -3*i + 4*r - a + 5 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*s, 0 = 3*y - 8*s + 9*s - 21373. Let r = 16641 - y. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - -152. Let q = u + -127. Let b = q + -65. Solve -4*m + b = 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1460, -1454, -1446, -1436, -1424?\nAnswer: -1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + -8. Let n = 39 + t. What is the remainder when 7 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 98.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 8671955674474.\nAnswer: 8671955674470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0966199753 rounded to 6 decimal places?\nAnswer: 0.09662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1119 divide 32640961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 47257 (base 9) to base 12\nAnswer: 16321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaa. Give prob of sequence az.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 382 + -427 + 3 + 42\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 178680369 and 24.\nAnswer: 1429442952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - s - 110 = s, -k = 3*s + 15. Let q be 5*((3 - 6) + -1). Let g be (-2)\/(-3) - q\/k. Solve g = -h + 3*h - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffvvfvfvfvff. Give prob of sequence vf.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfmfbfb. What is prob of sequence mfb?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46457587 + 23057587. What is l rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0256736551 rounded to five decimal places?\nAnswer: -0.02567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxexxggxiggg. What is prob of sequence xie?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - -103) + 9 - 5\/1. Let j = 169 + n. What is the remainder when j is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 62, 127, 192, 257, 322?\n\"Answer: 65*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -220, -271, -260, -175, -4, 265, 644?\nAnswer: 1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b. Let h = -4 - -5. Give m(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 8*v**3\/3 + 3*v**2\/2 - 11*v + 5. Is s(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36106871 divided by 457049?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 3*h - 1622 + 1601, 18 = -3*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeurhour. Give prob of picking 1 h, 1 e, and 1 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3422 - -3440. Solve -4*o = -3*x - f, -5*x - 2*o + 6 = -6*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 67.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-10 - -16)*1 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4600*d - 62 = 4595*d + 7*j, -2*d - 3*j + 48 = 0 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4757958?\nAnswer: 2, 3, 264331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1219, -0.5, 6, 5, 3?\nAnswer: -0.1219","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxzzxdzzzd. What is prob of picking 1 d, 1 z, and 2 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-28) + 4\/14)\/(364\/(-3640)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 8*m + 11. What are the prime factors of k(-10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*g - 6, -163*g + 159*g + 5*v = 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -17. Is -2 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 99 - 11\/(-55)*-5. What is the highest common divisor of u and 3626?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7233859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1440*x**4 - 943*x**4 - 847*x**4)*(-2 + 5 - 1).\nAnswer: -6460*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 16109920.\nAnswer: -6443968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 244 - 244. Solve 0 = 4*d - m*d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 847406 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24074954?\nAnswer: 2, 41, 331, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -4b1392?\nAnswer: 4b1390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0108? (a) 2\/7 (b) -4 (c) -3\/206\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 11 + 40 = 0. Let v = k + -4. Let a(j) = -2*j - 3. Let p be a(-8). Calculate the greatest common factor of v and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -10 + -1 + 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 7. Suppose k = -0*j + j - 15. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 39*f**2 + 105*f + 3063. What is c(-40)?\nAnswer: -2737","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*q - 12*q + 105 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + b520?\nAnswer: b518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*a**5\/3 + 290*a**4\/3 + 272*a**3\/3 - 488*a**2\/3 - 32*a = 0. Calculate a.\nAnswer: -12, -2, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j**2 - 3 - j + 2*j + 4. Suppose 0 = -5*g - 3*n + 10 + 34, 2*n + 44 = 4*g. Let i(x) = -x**3 + 9*x**2 + 9*x + 9. Let y be i(g). Give f(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*z = -123*z - 3*c, 4*z - 13 = -c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -47384.598 rounded to the nearest 10?\nAnswer: -47380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 95 and 1372296?\nAnswer: 1372201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*i + 123*i + 145*i - 442*i + 165*i + 75*i.\nAnswer: 192*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - s**2 + 1422*s**3 - 2*s**2 - 5*s**2.\nAnswer: 1422*s**3 - 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/(-15))\/(3\/15). Let g = o + 5. Let a be (26\/g)\/((-2)\/6). What is the highest common divisor of a and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 219 and 579693.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27 + (3 - 2)\/1. Suppose -20 = -4*j, 4*t - 249 = 27*j - 32*j. Calculate the highest common factor of t and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 5*h**2. Let g be z(-5). Suppose 4*r - 21 = -2*n + 31, 5*r - 15 = g. Calculate the lowest common multiple of n and 7*(1 + 0)*2.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2054341744.\nAnswer: 2, 7, 13, 17, 82997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bebepipbb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 1968722532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3 + 25*q**2 + 112*q + 116 = 0. What is q?\nAnswer: -2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 44*b**2 + 2*b - 14. Let w be p(-3). Suppose -27*k = w - 2158. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8308, 8361, 8414, 8467?\n\"Answer: 53*z + 8255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 0*d**2 + 5\/12*d**4 + 0 + 1\/6*d**6 - 1\/2*d**5 + 4*d + 0*d**3. Factor v(o).\nAnswer: 5*o**2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -501 + 501.04. Which is the second biggest value? (a) -2 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. Let p(i) = 10*i - 1. Let q be p(a). Let c(t) = -t**2 + 21*t + 661. Let g be c(-14). Calculate the greatest common factor of g and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 6*l + 7. Let q be o(7). Solve -3*b + q = -3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or -126?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -0.013, -1 in ascending order.\nAnswer: -1, -0.013, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2198, -4128, -5936, -7562, -8946, -10028, -10748?\n\"Answer: 10*a**3 + a**2 - 2003*a - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, z: 2, l: 4, j: 3}. What is prob of picking 1 g and 2 l?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410228?\nAnswer: 2, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 30362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -1.05730581.\nAnswer: -1.25730581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 25*h = -4148. Suppose 243 = 5*j + 2*a, -a + h = 3*j + 2*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-112))\/(2\/4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14167 is divided by 31?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50143?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 0*s = 30. Suppose -84 = -0*p - 3*p. Suppose p = 4*r + 8. What is the remainder when s is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 3*s - 1. Let y be z(4). Solve -4*n + y*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*s, 5*l + 14 - 3 = -3*s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -1307, -3280, -6055, -9638, -14035, -19252, -25295?\nAnswer: -32170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 79865, 1691, -5.\nAnswer: -5, -2, 1691, 79865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.88 - -3. Let d = 0.32 - w. Let y(q) = q + 1. Let c be y(4). What is the closest to 1 in c, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 2*m - 3*m)*(2*m - 2 + 2)*(0*m**2 + 2*m**2 - 3*m**2)*(0*m + 3065 - 2831 - 2*m).\nAnswer: -4*m**5 + 468*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 27*l - 17*l - 96. Suppose t - 2*i - 2 = -51, -i = 5*t + 212. Let h = t - l. Solve p - h = 4*k, 19 = k - 6*k - 3*p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osts when four letters picked without replacement from {o: 3, t: 1, s: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}