diff --git "a/data/dm_maths/full_data/1652_11255.jsonl" "b/data/dm_maths/full_data/1652_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1652_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the remainder when 1211 is divided by 391.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -5\/7, -2, 0.5?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30377 divided by -2076?\nAnswer: 30377\/2076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.37 + -12.451. Round k to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 9*k - 12. Let c be a(10). Let b = -3 - c. Let d be -2 + b - -4 - 1901. What is d rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111021 + -11?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*i*x - 505807*i + 2358*x - 20882 with respect to i.\nAnswer: 27*x - 505807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01686 * 0.2.\nAnswer: -0.003372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*l + l. Suppose -5*m - 23 = -2*n - 0*m, 0 = 4*n - l*m - 22. Suppose -4*s + 6 = -2*p + 2, 0 = -2*s - n*p - 8. Solve s = o + o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001430675 rounded to six dps?\nAnswer: 0.001431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 10. Suppose 3*x - 6 = 0, r*i + 13 = -4*x + 132. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.33 + 20.33. Let l = 19.1 - m. Let n = l + 1. What is the nearest to 0 in 2, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 478957?\nAnswer: 478957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 3*c - 3 + 3 - 9*c**3 + 1 - 4*c. Let u(t) = -8*t**3 - t**2 - t + 1. Let h(f) = -6*s(f) + 7*u(f). Give h(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64316796283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((330\/11)\/(-3)*(-8)\/(-96))\/5.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**3 - 6*x**3 - 17*x**3)*(-3*x + 3*x - x) - 70*x**2 + 144*x**2 + 85*x**4 - 76*x**2.\nAnswer: 103*x**4 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from mmymygmmggmxmgymxm.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) 0.1 (c) 21 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -64350?\nAnswer: -64347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m - 45. Suppose 2*h + m = 5*h. Find the second derivative of y**h - 4*y**2 + 3*y - 5*y + 4*y**2 wrt y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(5*sqrt(8)) + sqrt(19) + 0 + -5.\nAnswer: -5 + 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76825, -76826, -76827, -76828?\nAnswer: -76829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*c = -3*w + 21, -c = -w + 3. Let k be (-2 - -1) + 8*1\/c. Solve 25 = 2*s + k*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**7 - 2*r**3\/3 - 3. Find the third derivative of y(b) wrt b.\nAnswer: -840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/13)\/(m*m**(2\/19)\/m))\/(m**0)**16)\/(m**(-2)\/((m\/(m*m*((m**(1\/7)*m)\/m)\/m))\/m)*(m*m*m**3)\/m**(-4\/3)) assuming m is positive.\nAnswer: m**(-28153\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-340)\/(-42) + 92\/(-966). Let t(g) = 3 + 5 + 1 - 2*g. Determine t(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7, -7, 1, 23, 65?\n\"Answer: c**3 - 2*c**2 - c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 808, -17 in increasing order.\nAnswer: -17, -5, 808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 1100101001011001111011?\nAnswer: 1100101001011001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 34*h**2\/5 + 28*h\/5 + 16\/5.\nAnswer: -2*(h - 1)*(h + 4)*(5*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**5\/60 - g**2. Let a(o) = -2*o**2. Let d(c) = 5*c**2. Let v(n) = 14*a(n) + 6*d(n). Calculate x(v(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58159308?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 130, -4, -0.24, -2\/3 in increasing order.\nAnswer: -4, -2\/3, -0.24, 4, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 14*z + 21. List the prime factors of t(0).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + (sqrt(833)*3)**2) + -1 - (-4 + (-4 + sqrt(833) + 5)*1).\nAnswer: -44968 - 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-3)*((-16)\/(-196))\/((-4)\/(-14))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7258281, -7258278, -7258275, -7258272, -7258269, -7258266?\n\"Answer: 3*h - 7258284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 6*g + 800 - 863.\nAnswer: -5*g - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2644 minus -408.223?\nAnswer: 408.4874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**3 + 456*k**2 + 103*k + 15646. Give d(-152).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 124\/6 + -1 + 5\/15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-21) - (-52)\/14. Suppose 2*l - 4*w - 18 = 0, 0 = 3*w - q + 13. Solve l*h - 10 = -1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900 is divided by 88.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 553*a + 557*a = -5, -5*t + a - 30 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/13 - 57662*l**2\/13 + 230624*l\/13 - 230616\/13.\nAnswer: 2*(l - 28827)*(l - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-555) - (-153145733)\/(-2041845).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -203 - -336. List the prime factors of z.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2506*c + 5102*c - 2474*c to o + g*c and give g.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**4 + 2527*v**3 - 36672*v**2 - 2523668*v - 21171136 = 0.\nAnswer: -14, 43, 2512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-44) - (-26667184)\/352.\nAnswer: 3, 25253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**5\/60 + 7*x**4\/24 + x**3\/3 - 16*x**2 + 2. What is w(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 10*p + 17. Suppose 4*l - 1 - 31 = 0. Let u be o(l). Let t(c) = c**2 - 2*c + 1. Let d be t(4). What is the greatest common divisor of d and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2775654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 40335535 (base 6) to base 10\nAnswer: 1148243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 1\/2*2. Suppose -d - 4*d = -5*b, -4 = b - 2*d. Solve -b*c - 21 = -r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-60))\/((-2)\/(-9)*-3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40792 = -18*d + 153940. What is the thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n*o*q**3 + n*o - 19*n*q - 473*n - 22*o*q**3 + 9*o*q + 2*q**3 wrt o?\nAnswer: -n*q**3 + n - 22*q**3 + 9*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 + 42 - 23)*(2*l - l - 5*l)*(5 - 1 + 5) as a + w*l and give w.\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1053) + 0 + 0) + sqrt(1053)*2 + -2 + sqrt(1053) + -5 + -1*sqrt(1053) + 1)**2.\nAnswer: 324*sqrt(13) + 9513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d\/d**(-5))\/(d\/(d**(-6\/11)\/d)))**(2\/51)*(d**(-2)*d)\/d**(4\/7)*((d\/(d*d**7))\/d)\/((d*d**(-3\/5)*d)\/d) assuming d is positive.\nAnswer: d**(-63863\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 160 and -0.0811.\nAnswer: -12.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.0618 (b) -10 (c) -3\/2 (d) 60 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*d*v**2 - 337*d*v - 30644*d + 3*v**2 wrt v.\nAnswer: 10*d*v - 337*d + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 3*f - 39*f**2.\nAnswer: -39*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16055, 32110, 48165, 64220, 80275, 96330?\n\"Answer: 16055*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - d + 2*d = -102, 0 = -17*c - d + 4*d - 710 - 157 for c.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 divided by 66015?\nAnswer: -58\/22005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - 552 + 4892 = 2*k. Which is smaller: 321 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l = -20*l - 1399 + 519 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13752 and 155934.\nAnswer: 119133576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 958986624?\nAnswer: 2, 3, 2497361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(0*w - w + 2*w) - 2 - 2*w + 2 + (-2*w - 3 + 3)*(0 - 4 + 2) + 8119 - 8119 - 52*w.\nAnswer: -49*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -a887 (base 11) in base 3?\nAnswer: -201201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18924 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*r - 30. Calculate the lowest common multiple of 44 and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/2 - 296376*d**2 + 3556593*d\/2 - 2667465.\nAnswer: -3*(d - 3)**2*(d + 197590)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 1822 in increasing order.\nAnswer: -1, 5, 1822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 - 2*k**2 - 4*k**2. Let g(r) be the first derivative of -3*r**3 - r - 467. Calculate g(b(x)).\nAnswer: -36*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**5 + 0*a**5 + 3*a**5 + (-7 + 6 + 4)*(2*a**5 - 6*a + 6*a).\nAnswer: 5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -5 (c) -3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2*q**3 - m**2*q - 159*m**2 - 3*m*q**4 + 328*q**2 - 2*q - 2 wrt q.\nAnswer: 6*m**2*q - 36*m*q**2 + 656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 22*r + 2. Let f be b(22). Let t be 33\/((5 + -8)\/(f\/(-2))). Solve 3*w = -4 - t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, e: 1, k: 14}. What is prob of sequence te?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**(-1\/2)\/t)))\/t**2*(t**(-1)\/t*t)**22*(t**(3\/2)*((t**(-7)*t)\/t*t*t*t*t)\/t)**(-2\/9) assuming t is positive.\nAnswer: t**(-449\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (345\/2300 - 1\/4)*(-70)\/(-4)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*j + 29, -4*m - 2*j = -24 - 14. Let g = -12 + m. Let f(y) = y + 9. Let n be f(g). Solve q = -n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3800*q = 5*g - 3795*q - 45, -4*q = -2*g - 36. Let s(u) be the third derivative of -1\/60*u**5 + g - 7\/12*u**4 - 49\/6*u**3 + 0*u + 11*u**2. Factor s(c).\nAnswer: -(c + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634850 divided by -18?\nAnswer: -90825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*a - 31, -2*a + 9 = 4*m - 13. Suppose -3*n + m*f = -270, -4*n = 3*f - 147 - 199. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**2 - 12*d**2 + 32*d**2 - 6*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1533082.3818 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -10*k + 10. Let w be g(2). Which is smaller: -34\/3 or w?\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16467942 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*h + 4. Let s(t) = -6*t**3 + 3*t**2 - 2*t + 6. Let y(c) = 1. Let r(d) = -s(d) + 6*y(d). What is the units digit of r(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 49. Let d(f) = 2*f - 74. Calculate 5*d(w) - 8*v(w).\nAnswer: 2*w + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 263 + -155. Suppose -43*l + b = -41*l. Calculate the greatest common divisor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < -14230\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-3 + 4) - -3. Let q(t) = 2 + 1 + 3*t**2 - 5 + 5*t. Let z(n) = -2*n**2 - 4*n + 1. Determine r*z(a) + 3*q(a).\nAnswer: a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 27127770\nAnswer: 2\/13563885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9962231.\nAnswer: 271, 36761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 415\/4 (c) -0.7 (d) -3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -124966, -124919, -124840, -124729?\n\"Answer: 16*m**2 - m - 124981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 715.638 nanograms?\nAnswer: 0.000000000715638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 443, -3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531539402 is divided by 2998.\nAnswer: 2996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -8 (b) -6 (c) 1475 (d) 1\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, t: 7, r: 1, u: 4, v: 3}. Give prob of sequence tt.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 8)*((1 + 0 - 3)*(m + 2*m - 4*m) + 1286*m - 1444*m + 646*m).\nAnswer: -1470*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -1574.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166 + 179.8. Let r = -367.8 + b. Let u = 350.81 + r. What is u rounded to 1 decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -27. Let y(u) = -9*u**3 + 16*u - 11. Let a(v) = -2*v**3 + 3*v - 2. Let j(c) = d*a(c) - 2*y(c). Find the second derivative of j(i) wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a meter in millimeters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 5\/6*d**4 - 5\/6*d**3 - 26*d - 31 + 0*d**2 + 1\/4*d**5 - 1\/3*d**6. Let m(n) be the first derivative of f(n). Factor m(g).\nAnswer: -5*g*(g - 1)*(g + 1)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 10:22 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*c + 3257 - 30905 = 0 for c.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.098071um to centimeters.\nAnswer: 0.0003098071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 + 7*x + 5. Let t be l(4). Suppose -4*d + 5*n - t = 0, 1 = 3*d - n + 10. Put -18, d, 4 in descending order.\nAnswer: 4, d, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.08 + -4.92. Let r = -15252 + 30501\/2. What is the second biggest value in c, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -173, -264, -357?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 17 = -82. Solve 4*v + 21 = z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 4*a + 1. Let l be y(-5). What is the common denominator of (404\/24)\/((-2)\/l) and 39\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -4\/7, -22, 12, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49a3 + -1?\nAnswer: 49a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75, -76, -75, -72, -67?\n\"Answer: d**2 - 4*d - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**4 + 6 - 10*f**4 + 2*f**3 + 0*f**3 + 0*f**2 - f - f**2 as b*f + u*f**3 + a*f**4 + l*f**2 + i and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2959?\nAnswer: 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(7) - (2*sqrt(7) - sqrt(7))) + 4)**2 + -1 - (4 + (sqrt(189)\/sqrt(3)*5)\/sqrt(9)).\nAnswer: -5*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2171?\nAnswer: 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, t: 5, o: 4}. Give prob of sequence gt.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(-22)*(-549)\/81 and -49\/39?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14546 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5171.2 - -5171. Which is the closest to x? (a) -11 (b) 2 (c) -1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 29*x + 11. Let b(j) = -2*j + 1. Let m(u) = 5*b(u) - y(u). Let s be m(-9). Let w = 29 - s. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by -19\nAnswer: -240\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/37461843 and 12\/4631.\nAnswer: 412080273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 12, 32, 54, 78, 104?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 - 14 = 0. Suppose n = -5*l - 9, -3*l = a*n - 2*n + 2. Let v be 12\/(-9)*3\/l. Solve i - x = 4, -15 = 3*i + v*x - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1301 = -106*f - 79*f - 4816 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8045858 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.94 + -12.06. Let u = 179.1 - 179. What is the nearest to u in -0.4, -5, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d. Let l(t) = -455*t. Determine i(l(j)).\nAnswer: 910*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9*c. Let a be (12\/42)\/(1\/7). Let b(p) = -2*p**2 + p**2 + a*p**2 - 2*p**2. Give b(n(d)).\nAnswer: -81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 30*v - 147. Let u be y(5). Sort -3, u, 107 in increasing order.\nAnswer: -3, u, 107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 11814165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*p = 113*p - 703. Suppose 15*a = p + 11687. What are the prime factors of a?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -17)*-1 + 2. Let g be (2\/d)\/(1\/3). Let x = 0.1 - 0.2. Which is the nearest to x? (a) g (b) -0.1 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-4) + 3\/(-6). Factor -10 + l - 15 + 12*w - 2*w**2.\nAnswer: -2*(w - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/3)\/(6\/36). Let j = m + 10. Suppose -6*u = -3*u - j. Solve 3*g - 12 = -3*f, 0 = u*g - 5*f + 2*f - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*n = j + 5, -13 = -3*j - 4*n. Suppose -2*u - 5 + 13 = 3*a, a + 23 = j*u. Suppose 12*q - 60 = u*q. Solve -q = 2*m - y - y, 0 = 3*m + 3*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 4*i - 1320. Let q = 3430\/13 + i. What is the second biggest value in 5, q, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**3 - 554*k**2 - 170*k + 1302. Give n(-92).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + -52. Which is bigger: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 2*q**2 - 8*q + 3. What is c(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - -7*(-948)\/168)\/105.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3844996?\nAnswer: 2, 67, 14347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42 and -3274?\nAnswer: 137508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 7*k**2 - 259*k + 39. Let v be b(-20). Solve -15*y = -v*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.8 and 9376.86.\nAnswer: 9378.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9478 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 + 13*f + 6. List the prime factors of j(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358633 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 7. Let l be i(-6). Suppose -1073*p - 69 = -1050*p. Put l, p, 0, 2 in descending order.\nAnswer: 2, l, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3651 - 2055. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146041\/36 - 4056. Let c = -14 + 56. Find the common denominator of ((-38)\/(-12))\/((-56)\/c) and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -21. Suppose -t = -4*k - 0. Suppose -r = -4*v + v + 4, k*v = 8. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 20 = 0, -48 - 499 = x + 7*j. Let k be (-14)\/(112\/(-24)) - (-1561)\/x. Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20350982*t**3 - 21832718.\nAnswer: -61052946*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 24 = -t. Let l(c) = 2 - 7*c + 10 + 2 + c - c**2. What is the tens digit of l(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 2. List the prime factors of h(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -5 (c) 1\/5 (d) -1341 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 8. Let s = 8 - 8.7. Let l = s - 4.3. Put l, p, -4\/3 in ascending order.\nAnswer: l, p, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -0.4 (b) 5 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 1275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (179 + -174 - (2 + 23))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**4 + 8*q**3\/3 + 2*q**2 - 17. Factor z(t).\nAnswer: 4*t*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -5)*(-535)\/214. Suppose 2*n = -8 - 2. What is the units digit of n\/y*-1*24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4266 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428607142.\nAnswer: 2, 149, 1438279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-37 + 1)\/(5 - 78\/12). Let n be ((-18)\/(-4) - 0)\/(3\/k). Let o = 145 - n. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2. Let a(b) = -39744*b. Let l(f) = 24*f. Let y(i) = a(i) + 1728*l(i). What is o(y(w))?\nAnswer: -5971968*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 + 1 - 4*h**3 - 7 in the form u*h**2 + f + k*h**3 + s*h and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 406164, 20 in decreasing order.\nAnswer: 406164, 20, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + -2)*6 - sqrt(1100) - (-1 + sqrt(1100) + -1))**2.\nAnswer: -800*sqrt(11) + 17700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -35*i**2 - 16*i + 10. Let k be p(2). Do -153 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 - -96. Suppose 2 = 4*g - 4*v - 6, -2*v - 4 = -5*g. Sort h, -12, g in decreasing order.\nAnswer: g, h, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161877378?\nAnswer: 2, 3, 13, 19, 109229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qts when three letters picked without replacement from {q: 1, v: 4, s: 1, t: 1, h: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 180\/10 - (4 + (-4)\/4). Calculate the highest common divisor of h and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*12\/14)\/(12\/(-56))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*k - 18*k + 4*k**4 + 3*k**2 - 3*k**2 + 3*k**4 + (0*k + 0*k - k)*(0*k**2 + 0*k**2 - k**3) + 2*k**4 + k**4 - 5*k**4 + 0*k**2 + 0*k**2 + k**4.\nAnswer: 7*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.4589 and 0.976?\nAnswer: -9.2318864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 123*j**2 - 8*j - 1004. Is d(43) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -2 (c) -3\/13 (d) -0.174 (e) 3\/5 (f) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 34 = -6. Let h(s) = -s**2 + 9*s - 15. Let p be h(n). Let x be p\/(-5*(-4)\/60). Which is the biggest value? (a) x (b) 1 (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 909 is divided by 0 - (-5)\/2 - (-109865)\/730.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25044 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -47, -64, -89, -128, -187, -272?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (4 + sqrt(275) + -1)) + -5 + -4)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024785 rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101111001001 - -1000110011?\nAnswer: 110110111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10824 + -10806. What is the smallest common multiple of s and 1026?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q - 12 = 0. Sort 1, -9, q.\nAnswer: -9, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 10*u**2 - 4*u + 10. Let i be x(-9). Calculate the lowest common multiple of (-21)\/i - 514\/(-10) and 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 6*p - 55. What is the remainder when p is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 78.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1460 and 2920?\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 53.\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y - 12. Sort y, -3, 5.\nAnswer: y, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 + 190 + 188 = -39*w - 522 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 132*b**4 - 69*b**4 + 29*b**4 + (2*b**3 + b**3 - 2*b**3)*(4*b + 3*b - 5*b + b + 3*b - 6*b + (5 - 1 - 3)*(-5*b + b + 2*b) + 5 + b - 5 - 3 + 3 - 5*b).\nAnswer: 86*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -12. Suppose 0 = c + f*t + 6 - 4, -3*t = 5*c - 12. Let a(y) = 57*y - 106*y + 2*y**2 - 1 - y**3 + 47*y. Calculate a(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 604805638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, 7, -1, 5.\nAnswer: -1, 5, 7, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 13966*q = -13969*q + 9, -2*j - 5*q + 19 = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5*-866.43\nAnswer: -4332.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 181 + 184 = 5*n, -5*p = 3*n - 211. Solve -67*x + 6 = -n*x - 3*y, 5*x = 5*y + 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-260)*-26 - (-14)\/(-36).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*c + 3*s = 56*c + 3, 0 = 2*c + 5*s - 33 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2981409 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: Simplify (5 + (sqrt(475) - ((sqrt(475) - sqrt(475)*1) + -4)))**2.\nAnswer: 90*sqrt(19) + 556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) 202 (b) -5 (c) 2\/13 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 4. Let h be j(4). Let o(x) = -15*x + 5*x + h*x. Let i(u) = -u + 1. Let z(c) = -42*c + 36. Let d(s) = -36*i(s) + z(s). Calculate o(d(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -37779.54 to the nearest one hundred.\nAnswer: -37800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 + b. Let j(g) = 15*g**3 - 3*g**2 + 120*g - 248. What is the lowest common multiple of j(2) and n(2)?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -6. Suppose 2*k - 4*z + 4 = -8*z, -2*z = 4. Let y(o) = -o**k - 1 + o**3 - 2 - 4*o + 3*o. Determine y(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75400066 is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 53 times 2.146\nAnswer: 113.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -310*z + 10931. Calculate b(35).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1268.342227 - -1456.\nAnswer: 2724.342227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 660, 1322, 1986, 2652, 3320?\n\"Answer: y**2 + 659*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 + 10*s**2 - 19*s**2 + 0*s**2 + 4*s**2 - 120*s.\nAnswer: 3*s**2 - 120*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 983236, 1966466, 2949696, 3932926?\nAnswer: 4916156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 13*o + 18. Let i be u(8). What is the greatest common factor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 152 + 9 + -9 - 1*-4. Let p = w + -154. What is s in 4\/7*s**p + 2\/7*s**3 + 0*s + 0 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 211?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 16758?\nAnswer: 67032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157212 is divided by 1529?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62820)\/(-7329)*1008\/80.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 2*l**2 - 4*l - 2. Let u = -1 - 2. Let z be t(u). Solve 4*n - 3*j + z = 0, 3*j = 5*n - 2*j + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17603 is divided by 1352.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y - 3*y = 0. Let h(t) be the third derivative of 0*t**3 - 1\/60*t**4 + 0*t**6 + y + 1\/1050*t**7 + 0*t - 1\/100*t**5 + 2*t**2. Factor h(o).\nAnswer: o*(o - 2)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/30*(35\/90)\/7?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124.000183 - -124. Round s to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5436.1 * -0.19.\nAnswer: 1032.859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(4)\/sqrt(2))*1)**2*-3.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28383041?\nAnswer: 79, 359279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -0.142065?\nAnswer: 1.142065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 58823.\nAnswer: 2\/58823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = 3. Let s(d) = 3 - 5*d - 15*d - 5*d**2 - d**q + 14*d. Let w be s(-3). Solve -4*a + w = -1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 972236 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18714, -18719, -18726, -18735?\n\"Answer: -l**2 - 2*l - 18711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 17, z: 2}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -826 divided by -27797\nAnswer: 118\/3971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(1\/((-27)\/18))*(-2)\/66\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -1.601006?\nAnswer: 8.00503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01577878 rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1158 to two dps.\nAnswer: 1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2146050\/521 or 4119?\nAnswer: 2146050\/521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4099522*a**2 + 3*a + 65623.\nAnswer: 8199044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 - 5*z**2 + 5*z**2 - 7*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2677 - 2594. Calculate the remainder when s is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -8, 4, 72\/5, -226 in ascending order.\nAnswer: -226, -8, -0.2, 4, 72\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1111*f - 1117*f + 30. Which is the third smallest value? (a) -2\/13 (b) -0.3 (c) -1\/6 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7694.79g to kilograms.\nAnswer: 7.69479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 13 - -10) + -42 + -2 - 6.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i - 3. Let c = -673 + 669. Let s(l) = 27*l - 8. Calculate c*s(v) + 11*g(v).\nAnswer: -9*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m - 18. Let h(g) = g - 4. Let q(p) = -9*h(p) + 2*o(p). Let i(y) = 7*y**2. Calculate i(q(a)).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 + -51. Suppose -4*c = 4*r - 20, 0 = c - 8*r + o*r. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 706, 705, 702, 697?\n\"Answer: -n**2 + 2*n + 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10209*l**2 - 94*l**3 - 10480*l**2 + 97*l**3 to k*l**2 + u + w*l + a*l**3 and give k.\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -5*b**4\/2 + 2*b**3\/3 - 3*b**2 - 3*b + 37. List the prime factors of m(-4).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 - 75. Let n be 12\/(-20) - (-152)\/f. Solve 0 = -n*u + 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -6*n + 59. Let c be (-5)\/45*n - -3. Sort -3, 22, c, 4 in descending order.\nAnswer: 22, 4, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.7677464 months to centuries.\nAnswer: 0.001473122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + d**2 - 7*d - 19. Suppose m + 4 = 0, 5*q - 24 = 3*m + 58. Calculate the remainder when i(5) is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h + 29*h + 27 = 7*h - 3*a, 136 = 4*h - 26*a for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2643 - 6?\nAnswer: 2635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26903351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 2:28 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 28. Solve 2 = s + t - h*t, -s - 2*t = -2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 0*g + 2*g**3 + (-3*g**3 - 3*g**3 + 4*g**3)*(1 + 3 - 5) + 17*g**3 - 50 + 50 + 6*g**3 - 4*g**3 + g**3.\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.73 + -6.3. Let m = f + -0.03. Let x = -200 + 197. Which is the smallest value? (a) x (b) -0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-4)\/8*10. Let u(c) = 2*c**2 - 2*c - 2. What is the lowest common multiple of 16 and u(s)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -2 + 1 - (-2464 - -2499) - 14?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3076 and 0.9128474333.\nAnswer: 3076.9128474333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2177032 in -1, 2\/3, -4\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.237 to zero decimal places.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, 37, 84, 149, 232, 333, 452?\n\"Answer: 9*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16694 = 29*n - 8833 - 3328. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26635026 rounded to the nearest one hundred thousand?\nAnswer: 26600000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*(60\/8)\/(-15)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 849699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 7. Suppose j*g = -2*x - 10, x + g = -2*g - 10. Suppose 4*b = -s + 50, b + 3*s = x*s + 8. Calculate the smallest common multiple of b and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 40*x**3 - 17*x**2 - 17*x - 31. Let f(b) = 13*b**3 - 6*b**2 - 6*b - 12. Determine 6*c(i) - 17*f(i).\nAnswer: 19*i**3 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, j: 2, z: 1, e: 4, o: 1, k: 2}. Give prob of picking 1 c, 1 z, and 1 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**3 + 2*p**2 + 3*p. Let s(n) = -10*n**3 - 7*n**2 - 10*n. Let d(c) = 7*j(c) + 2*s(c). Let f(k) = 3*k**3 + k. Let t(v) = -d(v) + f(v). Factor t(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210000469 - -0.1?\nAnswer: 210000469.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -271 - -276. Solve s = u*l + 7, s - 4*s - 15 = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11717\/5 - -2327. Are p and -15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x = -240. Let b be 2\/(12\/(-18)) - 55\/(-5). Suppose -b*z + 3*z + x = 0. Solve -4*f = z, 7 - 37 = -5*m + 5*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from {z: 6, v: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/23 + 10987352*v\/23 + 43949440\/23.\nAnswer: -2*(v - 5493680)*(v + 4)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 + -5 - (5 + 9 + -21)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/6 + 108789*i - 1305444.\nAnswer: -(i - 652722)*(i - 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3*v + 5*v + 268, -4 = -4*v. Is (2 - (p - -1))*1 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -52*n**4 - 19626*n**3 - 1904126*n**2 - 9841632*n - 7957080 = 0?\nAnswer: -186, -115\/26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15224 is divided by 127?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 55644, 55323, 55002, 54681, 54360?\n\"Answer: -321*n + 55965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -12*r + 299. Let q be 54\/(-513) - (0 + (-23)\/r). Factor -5\/2 + 5\/2*a**2 - q*a**3 + 1\/2*a.\nAnswer: -(a - 5)*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -11*b + 9. Let a = -70 - -48. Let c be q(a). Let y = -12 + c. What are the prime factors of y?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 192*q**4 + 49680*q**3 + 3182475*q**2 - 4036500*q + 1267500.\nAnswer: 3*(q + 130)**2*(8*q - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 5*u + 5. Let b be s(-5). Suppose -11 = -4*h + 1, 0 = -b*l + 3*h - 39. Let i = 3 + l. Is i < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5519 - -5380 - (-3 - 39)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 31. Let z be s(0). Let a be 2 + (z\/55 - 0). Let h = a + -26\/11. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a day?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25866 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-2*f - f + 6*f) + (-4 + 4 - 1)*(-3*f - f + 3*f) + 0*f - f + 3*f - 1 - 415*f + 3 + 624*f.\nAnswer: 206*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/6 - 2\/4. Suppose 13 = -v*i - 5*b, -2*i + 22 = -4*b - 4. Suppose i = -4*r + 35. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1090, 0, -21, -83, -2.\nAnswer: -83, -21, -2, 0, 1090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g - 27. Let p be x(-11). Let r = 37 - p. Solve 3*l - r = -0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 134150*k. Let y(p) = 4*p. Calculate y(x(q)).\nAnswer: 536600*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2066*o**4 + 3*o**2 - 9955*o wrt o?\nAnswer: -49584*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125220269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28626156.\nAnswer: 2, 3, 13, 20389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-13 + 29 + 21 - -7)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*k + 3*k - 2*k - 1 + 1 - k + (3 - 7 + 3)*(k - 2*k + 3*k) + 3 - 3 - k - 1 + 1 - k to d + x*k and give x.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1044741?\nAnswer: 3, 348247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, q: 4, k: 2}. What is prob of sequence qc?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, j: 2, l: 2, k: 1, x: 1}. Give prob of picking 3 j and 1 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*n**2 + 12 - 5*n - n**3 - 6 + 59*n**2 - 27*n**2 to a*n + j + p*n**3 + b*n**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -1 + 98 + -84?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/4 - 8151*v**3\/2 - 16303*v**2\/4 = 0.\nAnswer: -1, 0, 16303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from {u: 2, j: 11, h: 7}?\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.7 (c) 45.991\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/7, -1, -27 in descending order.\nAnswer: -1\/7, -0.5, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6229917.\nAnswer: 3, 157, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 11052, -0.1, -2\/117?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 5:35 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/961 + 15398\/10571. Is a at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + 17517 - -2) + -4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9339 divided by 13114?\nAnswer: -9339\/13114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = 5*h - 4*m - 25, -h - 4*m = -11. Solve -3*u + 3 = -4*j, j - u - h = u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 5. Suppose 4*j + i - 13 = -2*i, -3 = -i. Put -2, q, j, -5 in decreasing order.\nAnswer: j, -2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*(4 - 10\/35 - 3). Let z be j\/(6\/(96\/40)). Solve -z*p + 15 = 5*n, 2*n = -2*n - 4*p + 24 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44571\/(-9129) + 2\/(-17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -4*z - 5*r, 0*r = -2*z + 5*r + 20. Suppose -4*g = 3*i + g + z, 5*i - 3*g - 9 = 0. Differentiate 0*d**2 - 1 - 2*d**3 + i*d**2 wrt d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43103894.\nAnswer: 2, 19, 1134313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -7. Sort -0.4, i, 3.\nAnswer: -0.4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -803, -907, -1011, -1115?\nAnswer: -1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 6*g + 1. Let v(j) = 1. Let h(u) = 5*u**2 + 5*u - 9. Let p(l) = g*v(l) + h(l). Suppose p(c) = 0. What is c?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3921 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/943879 - 10136316713\/31148007. Let v = 979\/3 + s. What is the common denominator of v and -32\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 2*f - 3. Let b be h(-3). Let v = b + 2. Let w be 1 + 0*2\/(-4). Is w bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkkkykyyyyy. Give prob of sequence ykyy.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148310136 + -131.\nAnswer: 148310005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*w - 2050 - 2855. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20123 - 10100230?\nAnswer: -10020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.15 greater than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 256*f**3 + f**2 + f - 1. Let w(a) = -a**3 - a**2 - a. Give -w(d) - y(d).\nAnswer: -255*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -52. Calculate the highest common divisor of 520 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nupqj. What is prob of sequence jqn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63788700 divided by -1028850.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -a44?\nAnswer: a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.242, 52, 65.9 in decreasing order.\nAnswer: 65.9, 52, 0.242, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x - 20. Let y be m(-9). Let g be (-21)\/(-42)*(89 + -1). Let l = g - y. Let p(k) = -14*k**2 + 2*k - 1. Give p(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 37, 13251\/11 in descending order.\nAnswer: 13251\/11, 37, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1\/20, 8, 5, 0.3?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1475569863?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3148.98248 to the nearest 10.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12602506?\nAnswer: 2, 7, 18371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196951 is divided by 1060.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8484 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i + 2*i + 2*i - 7*i. Let z(a) = 2*a**2 - 4*a - 4. Let l(f) = -5*f**2 + 11*f + 11. Let k(h) = 4*l(h) + 11*z(h). Calculate b(k(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwcp when four letters picked without replacement from {p: 3, w: 11, c: 1}?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14921 + -5388. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7535040 by 48.\nAnswer: 156980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - u**2 + u - 1. Suppose -392 - 979 + 195 = 14*s. Let v(i) = -18*i**3 - 42*i**2 + 42*i - 42. Calculate s*l(f) + 2*v(f).\nAnswer: 48*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16351898491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003231925 rounded to 6 dps?\nAnswer: -0.003232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21152869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 534 and 2916?\nAnswer: 259524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 5 (c) -2\/9 (d) 0.31 (e) 3 (f) -529\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -7*o + 2*o. Suppose 17 = -8*f + 1. Let r be (f\/(-4))\/(o\/(-104)). Calculate the highest common divisor of 65 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4 = -3*v, 0*v + 3*v = -4*s - 1. Let y = v + 9. Solve -3*i - y*i + 2*u = -10, 0 = -i + 3*u + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5\/3 - 2768*h**4\/3 + 448654*h**3\/3 - 17689364*h**2\/3 + 34043848*h\/3 - 16800368\/3 = 0. Calculate h.\nAnswer: -1534, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1424 + 1427. Sort o, 2\/5, 164, 4\/3.\nAnswer: 2\/5, 4\/3, o, 164","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 51*m + 1162. What is l(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1913 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51 - 53 - 1912*x**2 - 2048*x**2 - 12*x**2 to the form i*x**2 + l + u*x and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1007*t**2 + 122*t - 59*t - 63*t.\nAnswer: -1007*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2446, -4 in increasing order.\nAnswer: -4, -0.2446, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.377 + -0.077. Let n be 12\/27 - 4\/18. What is the nearest to 2\/3 in z, n, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 965 and 5211?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + k - 4 = 3*u, -5*k = -4*u - 2. Let z = u - -47. Suppose -3*r + 2*r = -z. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -29*p**5\/5 - 73*p**2\/2 + 40. Find the second derivative of q(f) wrt f.\nAnswer: -348*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 2 - -3) + -10 + -3. Let g = a + 21. Let f = 8 - g. Solve f = -2*c + 3 + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j - 3*j - 3*j + (2*j + 3 - 3)*(-99 + 5 + 25 - 4 + 0 + 2 + (-5 + 2 + 1)*(1 + 1 - 4) - 4 - 1 + 4 + 5 - 1 - 2).\nAnswer: -134*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 4 - (4 - 8)) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -322 - -10?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 10*b + 145, 32 + 85 = 5*b - 4*v + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -1\/86 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*f + 42 = 58*f. Suppose -2*r = -790 + 174. Sort r, 4, 1, f in decreasing order.\nAnswer: r, 4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4043 by -438.\nAnswer: 4043\/438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 10*y + 7. Let s(g) = 3*g**2 - 20*g + 12. Give -5*q(j) + 3*s(j).\nAnswer: -j**2 - 10*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7450611 by -354791.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20337893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Let c be (-5)\/((((-15)\/12)\/(-5))\/(-1)). Let s = -1 + 3. Solve c = -s*l - v*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/13, 0.9178, -2?\nAnswer: 0.9178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.4 - -3.9. Is c less than or equal to 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 23*b + 124. Let n be y(12). Let g(x) = x**2 - 7*x. Let a(d) = -d. Let k(v) = -6*a(v) + g(v). Does 18 divide k(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57276, -57228, -57150, -57036, -56880?\nAnswer: -56676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13157 and 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 854 = -858. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7297, 0, 8 in decreasing order.\nAnswer: 7297, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17209509 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1155, 2311, 3467, 4623, 5779?\n\"Answer: 1156*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19) + -1*sqrt(19) + 5) - -5*(sqrt(114)\/(sqrt(6)*-2))**2.\nAnswer: 135\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86602270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 3) to base 15\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 181. What is the remainder when w is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1183 is divided by 202.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27606 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1084363, -2168728, -3253093, -4337458?\nAnswer: -5421823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -137.749336 to the nearest integer.\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(1 - (-17)\/(-16)). Let a be 1\/(-3) - h\/3. Suppose 17 = 5*j + 2*i, -11 = -3*j - a*i + 3. Solve o + 0*o + j = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 143, 155, 181, 227, 299, 403, 545?\n\"Answer: s**3 + s**2 + 2*s + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = -9. Let v = j - -5. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745210542?\nAnswer: 2, 3, 3767, 32971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*o + 2. Suppose j = x + 7 + 4, 3*x = -o*j - 3. Solve 3*p - 3*c + 15 = -j*c, 5*c = -p - 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/12, 0.1, -4.54, 2, 423 in descending order.\nAnswer: 423, 2, 0.1, 1\/12, -4.54, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -99*h - 3. Let w(z) = z. Let f(y) = p(y) + 2*w(y). Let c be (-2)\/(2 - 4) + -3. Is f(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -58, -95, -132?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-1))\/((-1)\/(-4))*(-74)\/(21016\/(-426))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 7:29 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 81*x**3 - 11*x**2 + 7*x. Let i(o) = -81*o**3 + 9*o**2 - 6*o. Determine -4*d(l) - 5*i(l).\nAnswer: 81*l**3 - l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6)*x)**(-1\/8))**(-9\/2) assuming x is positive.\nAnswer: x**(-45\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 525\/(-21)*4\/(-10). Solve -6*f = -4*f + t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1\/2, -3\/4, -2, 3 in increasing order.\nAnswer: -2, -3\/4, -1\/2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4 - 1 - t**2 + 4. Let p(o) = 16*o**2 - 3. Let j(i) = 3*b(i) - p(i). Let y(d) be the second derivative of -d**3\/6 - d + 1. Determine j(y(q)).\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n. Let c = -6 - -26. Let j = 9 + c. Let i(p) = 8168*p - j*p**2 - 8168*p. Calculate i(z(x)).\nAnswer: -116*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**2 + 7*w + 6. Let r(g) = 6*g**2 + 6*g + 5. Let x(c) = -c**3 + 7*c**2 + 5. Let u be x(7). Calculate u*s(j) - 6*r(j).\nAnswer: -6*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2024*i + 1004*i + 89538 + 1013*i.\nAnswer: -7*i + 89538","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 12.8. Let h = f - 0.8. Is 6 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000047527 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 106582609*z**2 + 64514469 wrt z?\nAnswer: 213165218*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 + 71 - 32)*(w**2 + w**2 - 333 - 2*w + 353)*(0*w - w + 3*w) in the form t*w + p*w**2 + b*w**3 + c and give p.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2 - 14736*a + 4241205 = 0.\nAnswer: 307, 4605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*c + 70 + 18, -220 = -5*x - 3*c. What is the greatest common factor of x and 990?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 3*b + 6*b)*(-3 + 2 - 2)*(2 + 11 + 1).\nAnswer: -42*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3805*t - 9 + 40 - 3795*t.\nAnswer: 10*t + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-2 - 1\/(-2))*2. Suppose -4*g - w + 4 = l*w, -2*w - 4 = -g. Suppose g*i = 3*i - 141. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 17*l**2 - 14*l - 4. Let f be ((-20)\/(-6))\/((-1)\/(-3)). Let u = f - -6. What is the tens digit of z(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 7007*h**5\/20 - 891*h**2 - 6617*h. Differentiate a(w) wrt w.\nAnswer: 21021*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*t - 119 = 26*t - 17*t - 10169 for t.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = s. Suppose m - 3*m = -26. Let h = m + -7. Solve 3*f - s = -4*j, -j + 2*f = h*f + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t**2 + 13*t. Let v = 2631 - 2628. Let z(u) = 4*u**2 + 7*u. Calculate v*p(h) - 5*z(h).\nAnswer: h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 73281.0645 seconds?\nAnswer: 0.12116578125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p + 22. Let r be l(-3). Let j(o) = -68 + 27 + r. Let n(f) = -f. What is j(i) - 2*n(i)?\nAnswer: 2*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 8 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, e: 1, q: 1, t: 2, h: 1, g: 1}. What is prob of picking 2 t and 1 e?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/36*308\/910*26.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -9204, 5, 0.\nAnswer: -9204, -4, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23.9 or -3071?\nAnswer: -3071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 1. Let s be (1\/2)\/((-9)\/(-90)). Suppose -i = -5*i. Suppose s*k = t + 33, i = -2*t + 6*t + 12. Give p(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 + 2*f**2 - 3*f**2 + 5*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q. Let l be i(-2). Let g(u) = -u + 41. Let j be g(13). What is the highest common factor of j and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - o. Let v(t) = -5*t**2 + t - 5. Let d(h) = -v(h) - 4*x(h). Let l be d(-2). Let z be (-2)\/(-10) - 13\/15. Sort l, z, 0, -0.5 in increasing order.\nAnswer: z, -0.5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffodccfdf. Give prob of picking 1 c, 1 d, 1 f, and 1 o.\nAnswer: 8\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n. Let r(b) = -126*b. Determine r(m(l)).\nAnswer: 126*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57247397 is divided by 3605.\nAnswer: 3602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -366 - -679. Let u = j + -337.7. What is u rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8874329?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = -2*d - 8, -5*l + 55 = -5*d. What is the remainder when l is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -w - 12, 2*w + 21 = 4*o - 9*o. Let k = w + 19. Let h(j) = -2*j**3 - j**2 - j. Let x(p) = -p**3 - p**2 - p. Give k*x(q) - h(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 39 and 285.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**7\/105 - k**6\/12 - 4*k**5\/15 - k**4\/3 + 18*k**2. Find v, given that i(v) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*a**3 + 14*a + 1274?\nAnswer: 57*a**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/4 (b) 9\/23 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, l: 3, m: 2, w: 5}. Give prob of sequence wl.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/5, 2\/49, -1 in increasing order.\nAnswer: -2, -1, -2\/5, 2\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16263\/3490 - 14\/349. What is the common denominator of s and 95\/938?\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5355 divided by -5\nAnswer: -1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (1 - 2) + -3 - -3. Put 2, -4, z, -5 in increasing order.\nAnswer: -5, -4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.29247878 to 3 dps.\nAnswer: -6.292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -882 = -5*z + y + 219, 2*z + 3*y - 454 = 0. Let s be -2*2*(-13)\/4. Calculate the highest common factor of s and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155\/62*14\/63*-1?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 336711, 336698, 336669, 336618, 336539, 336426, 336273, 336074?\n\"Answer: -g**3 - 2*g**2 + 336714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + n + 1. Let f be l(-4). Let o = -8 + 11. Let s be (80\/12)\/(o\/(-9)). Are f and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**3 - 2*d**2 - 3*d + 5. Let n(s) = -14*s**3 - 7*s**2 - 13*s + 21. Let b = 303 - 312. Let r(l) = b*q(l) + 2*n(l). Determine r(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/100 and -83\/80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 2*s + 101. Let p be l(11). Let x = -16 - -9. Which is the second smallest value? (a) p (b) x (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(6\/15)*2. Is 1684 - (0\/(-3) + m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*w - 4*x - 28, -5*w - x = -15. Solve -7 = w*l - 3*b - 2, 0 = -3*l - b - 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002021210 - 11110?\nAnswer: 2002010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 26*p**2 - 2*p. Let o(f) = -2*f**2 - f. What is -2*o(u) + 2*w(u)?\nAnswer: 56*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**3\/3 + 9*o - 1. Let h(m) = 33*m - 623. Let x be h(19). Let f be c(x). Solve -j + b + 1 = -2*j, -5*j + 5*b + f = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -525, 166, 2, 0 in ascending order.\nAnswer: -525, 0, 2, 3, 4, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(136)\/(sqrt(72)\/(sqrt(9)*4)) + 0)*-1 + -4)*1 + -1.\nAnswer: -5 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 8 = -2*s, s + 2 = 4. Let v = 12 + q. Suppose -71 + v = -5*f. Let a(h) = h + 6. Let t(d) = 3*d + 17. Calculate f*a(b) - 4*t(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.136717983 rounded to 3 dps?\nAnswer: 0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3396*a - 8139*a + 3560*a)*(4*a**2 - 4*a**2 + 3*a**3) as y*a**3 + n*a**4 + d + i*a + t*a**2 and give n.\nAnswer: -3549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**4 + 9*q**3 - 15*q**2 - 25*q = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5660 and 1300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -0.2\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -17*s**3 - 5*s**2 + 48*s - 772. Let y(k) = 26*k**3 + 7*k**2 - 71*k + 1158. Let m(n) = 7*b(n) + 5*y(n). What is the first derivative of m(v) wrt v?\nAnswer: 33*v**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*u**3 + 885*u**2 - 1200*u + 340.\nAnswer: -5*(u - 34)*(u - 1)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7*x - 11*x - 16*x**2 - 40*x**2 - 12*x + 9*x.\nAnswer: -56*x**2 - 21*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1 - 11*c + 6 - 3. Let l be b(-5). Suppose -4*q - 3*m + l = 0, 4*m = -4*q + 70 - 14. Solve -2*j = j - q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 + 6*g - 128. Let a(x) = -2*x**2 + 5*x - 125. Give 6*a(q) - 5*j(q).\nAnswer: -2*q**2 - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -12*p + 56. Calculate m(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -g - 3*a, a - 13*a = -5*g + 34 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292 and 81468.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4712, 5615, 6630, 7757, 8996, 10347?\n\"Answer: 56*g**2 + 735*g + 3921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8441891, -8441907, -8441923?\n\"Answer: -16*y - 8441875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (3*sqrt(91) - sqrt(91)))\/sqrt(7)*1.\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*n - 0*m + 74, 0 = -n - 2*m + 34. Suppose -5*l + 14 = -p - 5, 0 = -2*l + 5*p + n. Solve l*v = 4*f - 1, 2*v - 5*f - 16 = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -206 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 2:41 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*(40\/(-4))\/5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 0.561.\nAnswer: 0.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -51 (b) 0 (c) 2 (d) -0.2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33482, 36047, 38602, 41141, 43658?\nAnswer: 46147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(880))\/sqrt(5))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 50 = 5*l, c - l = -6*l + 40. What is the remainder when 149 is divided by c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744666 to the power of 1\/2, to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Suppose t + 5 = h. Let r(w) = -3*w**3 + 2*w**2 + 2*w - 1 + 6*w**3 - 3*w - 2*w**3. Determine r(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 8*h - 11*h + 4, -3*h + 3*n - 12 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((k\/(k**(-1\/14)*k))\/k*k)\/k)\/k)\/k)\/k*k*k\/(k**(1\/2)*k))\/(k**(3\/11)*k*k\/(k\/(k**7\/k))) assuming k is positive.\nAnswer: k**(-824\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -0.3. Let f be (792\/(-126))\/4 + 5. Is f at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (sqrt(136)*-1*-1 - sqrt(136)))*-5)\/(-1*sqrt(32)\/sqrt(4) + (sqrt(88)\/(sqrt(22)\/sqrt(2)) - sqrt(8))).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(104) + 1*(sqrt(104) + 1*sqrt(104)) + sqrt(104) + sqrt(104))\/(sqrt(8) + (sqrt(64)*-1 - sqrt(64))\/sqrt(8)).\nAnswer: -5*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -13*s**6 + 27*s**2 + 26. Find the second derivative of x(i) wrt i.\nAnswer: -1560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/12)\/(14\/12). Suppose -2*o + o - 18 = -5*l, -l = -4. Suppose o*z - 2*j + 4 = 0, 1 - 2 = -j. Is z less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {v: 2, q: 10}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 81, 253, 539, 939, 1453, 2081?\n\"Answer: 57*o**2 + o + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.84254*0.4.\nAnswer: -5.937016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -0.2. Let k(d) = -d**3 - 4*d**2 - d - 61. Let f be k(-8). Suppose f = 28*p - 665. Which is bigger: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1350, 5408, 12180, 21672, 33890, 48840?\nAnswer: 66528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 6*r**2 - r - 4. Let g be a(-7). Let p be (-2)\/6 + g\/3. Let f(o) = p - o - 17. Let q(i) = i**2. What is q(f(z))?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10979570 and 495950.\nAnswer: 713672050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1192771500 to the nearest one million.\nAnswer: 1193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**3 + 37*i**2 - 49760*i - 896006. Give t(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 8*l + 10*l + 0 - 17*l - 4. Let m be s(0). Let b(a) = -a**2 + a + 2. Let r(y) = -y**2 + y + 2. What is m*r(d) + 5*b(d)?\nAnswer: -d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515 = 16*d - 9811. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at least as big as -1824287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-3 + (-1 - 2)). Suppose r - 1 = w. Sort r, 2, 0.1 in ascending order.\nAnswer: 0.1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5893225 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: Let n = 0.5 + -0.7. Let d = 0.49 + 0.01. Put d, 3, n in increasing order.\nAnswer: n, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j**2 + 2*j**3 + 0*j**2 - 3*j**2 to w*j**3 + p + s*j**2 + u*j and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 34*o**3 - 4 + 31*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -8. Calculate the remainder when (0 - 1)*(2 - 36) is divided by 36\/(-10)*30\/m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*n = 46*n - 5, 0 = v + n - 1. Solve o + 12 = -5*s + 2*s, -v*s = 3*o + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20081209 and 771.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-822)\/(-39))\/(((-1120)\/(-208))\/(-35)).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3206537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*f - 10*f - 4*f in the form b + i*f and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*z = -12, 4*z = q + 13 - 2. Sort q, 8, 3 in descending order.\nAnswer: 8, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 2*i + 1. Let x be 4*-3*2\/(-6). Let y be h(x). Suppose -5*d + 17 = 2*m, -3*d + 2*m - 4 = -11. Solve 6*z + y = d*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + c. Let k(u) be the first derivative of -5\/3*u**3 - 1\/2*u**2 + 1 - u. Suppose 44*i - 31*i + 13 = 0. Calculate i*k(m) - 3*b(m).\nAnswer: 2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*l - 465*l - 50 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 0*o + 0*o + 8 - 8 + 13*o + 3*o + o - 6*o + (-4 - 1 + 6)*(-6 + 6 - o))*(11 - 29 + 30) to the form j + b*o and give b.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 0*g + 2*g**2 - 1\/8*g**4 - 1\/6*g**3 + 0. Let h be o(-1). Sort -5, h, -3 in descending order.\nAnswer: h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1667229?\nAnswer: 3, 555743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/2)\/(222\/8584). Calculate the highest common factor of 2436 and v.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 502 - 502.01. Which is the second smallest value? (a) 0.21 (b) -1 (c) m (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.804 - -0.704. Which is the smallest value? (a) -4 (b) z (c) -2\/19 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*((-84)\/(-8))\/7. Suppose -5*p + 4*p + j = 0. Suppose 2*a - 29 = p. Is 19 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(4) + 5 - (sqrt(2) - 6*sqrt(8)\/sqrt(4))) + 3.\nAnswer: 8 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 774642179.0384894 + -774642034. Let w = -1.9622406 - h. Let g = w - -147. Round g to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*s + 106*s + k - 24 = 0, 44 = -4*s + 6*k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9113.704 times 2\nAnswer: 18227.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4444\/(-2626))\/(8\/(-26))*18\/(-33)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**7\/360 - j**6\/80 + j**5\/60 + j**4\/4 - 4*j. Let f(x) be the third derivative of q(x). Factor f(c).\nAnswer: (c - 1)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 70*f + 2729. What is n(-39)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -101405a3 + 5?\nAnswer: -1014059d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 4 (c) -0.2199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19511?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 10*q**2 + 9*q + 4. Let r be h(9). Factor 0*j**3 - 2*j**2 + 2 - 2 + r*j**3 - 2*j.\nAnswer: 2*j*(j - 1)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 96 - 9 = 3*n, 3*n = -5*h + 210. Let y = 94 + -60. What is the remainder when h is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - 49. Suppose 9*q - b*q - w - 118 = 0, 5*q - 127 = 4*w. Solve 2*c - 12 = -2*x + 2, 5*c = -x + q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 15 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 423633, 847103, 1270573, 1694043, 2117513?\n\"Answer: 423470*q + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -984*u = -731*u - 3289 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577 is divided by 208?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 77, 302, 679, 1208, 1889?\n\"Answer: 76*c**2 - 3*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 51.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 25\/20*(-1224)\/9945\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10544121.9999888 + 10544112. Let d = -10 - v. Round d to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3203610 is divided by 533933.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11087 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 106*z - 211. Calculate f(-9).\nAnswer: -1165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 295978499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 + -83. Let c(o) = 41*o - 7. Let a(k) = 62*k - 11. What is j*a(x) - 8*c(x)?\nAnswer: -18*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 28. Let v(s) = 0*s - 2*s - 8 + 0. What are the prime factors of v(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 65*b - 8. Let v(t) = 65*t - 9. Calculate -7*f(r) + 6*v(r).\nAnswer: -65*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5118 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/((-25)\/6)*50\/20. Suppose -2 - 4 = b*h. Let r = 65\/6 + -191\/18. What is the nearest to 0.1 in 1, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l - 8. Let y be x(6). Let t = 84 + y. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -150 (b) -1\/6 (c) 1.9 (d) 0 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155 or -3?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7, 32, 87, 178, 311?\n\"Answer: y**3 + 9*y**2 - 9*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42088\/3 + -14030. Which is the nearest to -0.1? (a) v (b) -2 (c) 196 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*f - 517672 = -515224 for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -22 - (6 + 48 + (-11 - -8))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -89. Let p(c) = -6*c + 2*c - 3*c - 7 + 7*c**2 + 0*c. What is the remainder when p(-4) is divided by k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8715 - 8685 - (-79 + -1 + 1).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -897, -3584, -8061, -14328, -22385, -32232, -43869?\n\"Answer: -895*q**2 - 2*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.9 + -15. What is the nearest to 94 in h, -3, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11316, -22632, -33946, -45258?\nAnswer: -56568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 37*k - 43. Solve 7*x - 15*x + 28*x**k - 20*x**2 - 56*x - 16 = 0.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173460013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from yblrryi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 738, 2770, 5802, 9552, 13738, 18078?\nAnswer: 22290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*h - 135. Suppose -6*m + 9 = h. Let y = m - -28. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (477\/(-1590))\/(3*4\/(-120))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 257\/6. Let c = 44 + -45. What is the closest to c in -0.2, -3\/7, s?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 328 - 333. Which is smaller: c or 13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 22?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 (base 5) in base 3?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -238, 4, 0 in ascending order.\nAnswer: -238, -38, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 14 - 487*j + 26 - 3823*j + 10.\nAnswer: -4310*j + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.28 (b) -15\/7 (c) -4 (d) -0.1 (e) -30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98.8 - -85.8. Let b = -29\/16 + 519\/304. What is the smallest value in b, t, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14224601 is divided by 294?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45.5556 - 45.738283. What is t rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y**2 + 48 - 48)*(-y - y + 4*y) - 2*y + 2*y + 2*y**3 + (-2*y**2 - 3*y + 3*y)*(y + 0*y - 2*y) to c + f*y + p*y**2 + r*y**3 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 15) to base 8\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96721*x**3 + 2403719*x**2 + 357121*x + 13225.\nAnswer: -(x - 25)*(311*x + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 2)*(0*f + f + 101 - 86).\nAnswer: -3*f - 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k**2. Let o(c) = 7*c**2 + 2*c + 2. Let g(n) = -8*n**2 - 3*n - 3. Let x(j) = -4*g(j) - 6*o(j). What is x(h(q))?\nAnswer: -640*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3068\/585)\/59*(-15)\/6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d32 (base 14) in base 12?\nAnswer: 4814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 19*b - 20*b - 11, 3*t + 27 = -3*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(1100)) + -5*-2*sqrt(1100))**2*-2*4.\nAnswer: -1724928 - 8960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -31, -12, -4, -2\/273?\nAnswer: -2\/273","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*(-56)\/(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**2 + 0*q**2 - 3*q**2)*(-8 + 3 + 0) + 4 - 4*q**2 - 4 as n*q + o*q**2 + h and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*j - 9*j + 6*j)*(-2*j + j + 3*j) - 4*j**2 + 5*j**2 + j**2.\nAnswer: -54*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 30. Suppose 4*s + m + 2 = 0. Which is the third biggest value? (a) 5 (b) s (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5 = 0, 674 = z + i + 56. Let s = z - 3677\/6. Which is the second biggest value? (a) -2\/9 (b) -0.5 (c) 4 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7811777ml in litres?\nAnswer: 0.0007811777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffq when four letters picked without replacement from qqffqqxqqqqfxqfx?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 136838957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is -6.6022 rounded to one dp?\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnggnnggg. Give prob of picking 2 n.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -15*p - 60. Let y be f(-4). List the prime factors of (3 - y) + (385 - 12).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -390481105 greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2, -29 in decreasing order.\nAnswer: 2, -2, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -33?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 52 = 8. What is the smallest common multiple of (-10 - d)*2\/(-4) and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - ((4 - -4) + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (17 - 7) - 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -8456?\nAnswer: -8456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125705, -125763, -125917, -126215, -126705, -127435, -128453?\nAnswer: -129807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lppj when four letters picked without replacement from dojpppdppodlpo?\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -7. Let r = 5.1 - m. What is the nearest to -0.1 in r, -1, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*a**3*q - 7603*a**2*q**2 + 2*a*q**2 + 3*a*q + 45*q**2 + 2*q + 7 wrt a.\nAnswer: 150*a*q - 15206*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, u: 3}. What is prob of sequence uuu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 38 + 47 = 0. What is the lowest common multiple of (-15)\/25 + (-12)\/20*-236 and o?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2914850 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/49)\/((-20)\/14 + 1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(468\/33)*9\/66.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2298, 4597, 6896, 9195, 11494?\nAnswer: 13793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + (sqrt(170) + sqrt(170) + (sqrt(170) - (sqrt(170)*-4 + sqrt(170) + sqrt(170) - sqrt(170))*2) - sqrt(170)))\/(sqrt(50)\/(-4*sqrt(5))))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532 is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 10*n**2 - 13*n**2 + 71*n**2.\nAnswer: 70*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 226 + -204. Solve 4*o = r - 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -11*s**3 + 45*s**2 - 3*s + 6. Let u(r) = 34*r**3 - 135*r**2 + 8*r - 16. Let p(l) = -3*u(l) - 8*y(l). Find the third derivative of p(n) wrt n.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*k**3*y**2 - 249*a**3*k**3*y - 47*a**2*k**3 - 3*a**2*k**2*y**2 - 2*k*y**2 wrt a?\nAnswer: -6*k**3*y**2 - 1494*k**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o + 1152 + 20*o + 0*o - 359.\nAnswer: 41*o + 793","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3638 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*c**2*j*v**3 - 9*c**2*v**3 + 11675*c**2*v - 13*c*j + 16*c*v**2 - 7*j + 896*v**3 wrt c.\nAnswer: -24*j*v**3 - 18*v**3 + 23350*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002677 to five dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**4\/3 - 815*i. Let w(k) be the third derivative of 17*k**4\/24 - 6*k**2. What is w(u(j))?\nAnswer: -68*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21751 (base 13) to base 11\nAnswer: 41562","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/(-10))\/(9\/(-24)))\/((-1006)\/15090).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.29212 - -0.00788. What is the third smallest value in 2.7, -51, t?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -12*d + 5. What is the remainder when v(-7) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000764585 to six dps.\nAnswer: 0.000765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/6 + 1*(-13 - -9)*-1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 2:45 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) -62 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 57.31. Let q = k + 0.21. Let u = q - 5.9. What is the third smallest value in u, -1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/14 + 8\/(-70). Let t be 7*(6\/14 + 0). Put x, 2, t in ascending order.\nAnswer: x, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90.8 + 90.9. Which is the smallest value? (a) -111 (b) 0.4 (c) 3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*x + 6, 0*x + 3*x + 3 = 3*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*c**2 + 13*c**2 + 3*c**3 + 3*c)*(-3*c - 4*c + 4*c) + (-2*c - c + 4*c)*(3*c**3 + c**3 - 2*c**3).\nAnswer: -7*c**4 - 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 7. Let o be f(0). Let y be (-12)\/(-42) - 253\/(-1155)*-1. Is y smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*k**3\/5 + 29359*k**2\/10 - 63171*k\/10 - 243\/5 = 0.\nAnswer: -27, -9\/1174, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 360?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 41 - 34. Let m = -29 - t. Calculate the least common multiple of 10 and (-7)\/m - 17\/(-2).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -52, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*k**5 - 92*k**4 + 748*k**3 + 828*k**2 + 72*k = 0 for k.\nAnswer: -3, -1, -2\/21, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 + 81. Solve h*o + 1 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2050291 to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 10 - 34)*(2*y - y + 3*y**3 - y**3) - 3*y**3 - 4*y**3 + 5*y**3 to the form i*y**3 + p*y + s + o*y**2 and give p.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-5)*(-120)\/300*-4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17338 (base 14) in base 5?\nAnswer: 3331022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 1159*p**2 + 1165*p**2 + 3 + 1762*p**2 to the form g*p**2 + v + j*p and give g.\nAnswer: 4086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1852*c**3*r**3 + 2*c**3 + 2*c**2*r**3 - 13*c**2*r + 5*c*r wrt c?\nAnswer: 11112*r**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2649 - -1.8.\nAnswer: -2647.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 s when four letters picked without replacement from fffss.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15305 - -15458. What is the highest common factor of z and 5457?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v = -3. Let x(w) = w**3 - 3*w**2 - 3*w - 1. Give x(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7600 times -5?\nAnswer: -38000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126844709?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**3\/6 - 19*x**2\/2 - 105*x. Determine z(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 13*p - 126 = 2*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**4 - 322*h**3 - 28376*h**2 - 498440*h + 527136 = 0.\nAnswer: -34, 1, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -655992 + 5238979\/8. Let z = i + 1120. Let c be (-24)\/(-14)*2\/8. What is the closest to -2\/7 in -1\/6, z, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*h = -18*h - 150 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q**2 - 15*q - 4*q - 75*q**2 + 19*q + 40*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -20033093.4 rounded to the nearest ten thousand?\nAnswer: -20030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (18 - ((-23 - -12 - -28) + 10)) + (1 - 94)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 23481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*y**2 + 189*y - 7*y**2 + 18*y**2.\nAnswer: 60*y**2 + 189*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*w**2 + 17*w**2 + 15*w**2 + 18*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 6)*(-2*r**2 + 5*r**2 - 4*r**2) - 11*r**2 + 3*r**2 + 5*r**2 - 27*r.\nAnswer: -r**2 - 27*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - ((-79 - -38) + 51)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2937*g**2 - 17613*g\/2 + 27\/2.\nAnswer: -3*(g + 3)*(1958*g - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -2.2?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*i**2 - 91*i**2 + 1738 - 451 + 20*i**2 - 15*i + 746 with respect to i.\nAnswer: -230*i - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x. Let j(c) = -3*c**2 - 2*c. Let w(z) = -z**2 - z. Let o(r) = -2*j(r) + 4*w(r). Calculate o(u(k)).\nAnswer: 50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4112.725 and 10.\nAnswer: -4102.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -19, -5, -23, -27?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14531 = -281*j - 2587 + 1663 for j.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f. Let k(i) = -2017*i. Determine k(w(s)).\nAnswer: -12102*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7) - 210\/245\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37.95 + -40. Let x = 0.05 + v. Let d = -1 + 5\/3. What is the closest to d in 5, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 + -368.862889002\nAnswer: -470.862889002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8 - 5)*(12*m**3 - 3475*m + 3475*m).\nAnswer: 36*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - ((-538)\/(-184) + 27\/(-36)). Let q = l - -74\/161. Factor -q*h - 1\/7*h**2 + 0.\nAnswer: -h*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 940*y**2 - 1644 wrt y.\nAnswer: 1880*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 2 (b) 26.2 (c) 9\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 - -7?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l + 1. Let b(w) = -8*w - 1. Give -5*b(n) - 4*v(n).\nAnswer: 12*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(12\/(-93))*(23 - (-85 - -109))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (6 - 3) + 1. Suppose 2*l = -q*l + 36. Let u = 18 - l. What is the highest common factor of u and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.39745 months in millennia?\nAnswer: 0.0069497875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.1 (b) 0.4 (c) 2\/1363\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by -71.\nAnswer: -34\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(432) - sqrt(3))**2 + sqrt(12) + 1 + (sqrt(243) - ((sqrt(243) - (sqrt(243) + (-1*sqrt(243) - sqrt(243)))) + sqrt(243)) - sqrt(243))**2.\nAnswer: 2*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1434 + q**4 - 713 - 720 - 14*q**2 - 4*q**3 to the form i*q**2 + y + t*q**4 + o*q + g*q**3 and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = t - 2*t, -t = 2*a - 121. Does 21 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, t: 1, k: 2, o: 1}. What is prob of sequence kqkt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -16*m + 31. Let t(n) = 3*n - 6. Let v(i) = 2*l(i) + 11*t(i). What is v(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4) + -1)\/((-315)\/140). Which is the biggest value? (a) l (b) 7 (c) -2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1543980148.\nAnswer: 2, 127, 131, 23201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 2 + -34 + 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15242792 rounded to 3 dps?\nAnswer: -0.152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/5 and 302\/(-285) - ((-2090)\/132)\/19.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088 (base 9) in base 6?\nAnswer: 3425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 8:05 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 11*b**3 + 32*b**2 - 5*b - 2. Let k(c) = -c + c**2 + 7*c**3 + 18*c**2 - 1 - 2*c + 2*c**2. Let z(x) = -5*g(x) + 8*k(x). Is z(-7) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 15*d**2 + 14*d + 11. What is s(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.6 (b) 26 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 39, 2 in descending order.\nAnswer: 39, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68 + -46)*3\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 10265?\nAnswer: 3\/10265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 56*s**2 - s + 1. Let b be k(1). Suppose f = -5*z - 8, 7*f - 3*f + 4*z = 32. Let u be (-9)\/f - (-26)\/b. What is the biggest value in 0.1, -0.2, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/12 + 96\/(-144). Solve -3*y + 90 = -5*p + 92, 3*p = -z*y + 24 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149150597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 2.55, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 12970 = -528*d + 456*d - 1398*d + 2687, -d - 21 = 2*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(28) + (sqrt(7) - (-2 + sqrt(7)))*5 + sqrt(7))*6)**2*-2*4.\nAnswer: -52992 - 19008*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**4 - 4495*h**3 + 13515*h**2 - 13525*h + 4510 = 0.\nAnswer: -902, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536554 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 83035832 to the power of 1\/2, to the nearest integer?\nAnswer: 9112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6de9c (base 16) in base 12?\nAnswer: 198650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 89034? (a) -57 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 = i - 2*w, 2*i + w - 435 = 2*w. What is the remainder when 1096 is divided by i?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3 + 1 + 12*t**2 in the form y + b*t**2 + r*t and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 56*l**2 - 45*l + 164. Let y be u(14). Calculate the greatest common factor of 18 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -33, 2\/13, 0.4, 1012, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (106\/(-742))\/((-3)\/(-3)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - f**2 - 2*f - 3. Let o = 19 - 18. Let z = o + -3. Calculate k(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**2 + 12*b**2 + 27*b**2.\nAnswer: 49*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -712481*l**4 - 2*l**3 + 956890*l**2.\nAnswer: -17099544*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -152, -299, -404, -467, -488, -467?\n\"Answer: 21*k**2 - 210*k + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -4)*20\/15. Is 18 a factor of (-6618)\/12*(2 - u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (16\/(-28) - 0) + (-374)\/154?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + z + 3*z + 8*z + 7*z - 4*z - 3 - 2*z + 3 - z - 2 + 2 - 4 - 2*z + 4 + (-1 - 3 + 3)*(-1 + 1 + 2*z) + z + 4 - 4 - 2*z + 4 - 4.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/(1\/((-18)\/(-42))).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 511070.9us in seconds?\nAnswer: 0.5110709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h. Let q(y) = 656*y. Let x(d) = 69*d. Let v(i) = 5*q(i) - 48*x(i). Determine v(f(o)).\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 17*w - 9. Let f be j(11). Let y = 62 - f. Calculate the least common multiple of y and (-3)\/((-6)\/(-4) - 2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*h - 6*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127910.\nAnswer: 2, 5, 12791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 - (-3 + (-4 - 7 - -14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18887, 22632, 26377, 30122, 33867?\n\"Answer: 3745*r + 15142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12, -0.5, 4\/61, -2\/11, -1?\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -672 divided by -7\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 2*w**2 - 3*w - 4. Let v be d(3). Let g = -12 + 34\/3. Which is the nearest to g? (a) v (b) -1 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -166405213\/82 - -2029359. Let y = -15\/41 - d. Let r = -1162\/5 - -9761\/40. Find the common denominator of r and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 + 75. Solve 5*d = -5*j - 20, 0 = 5*j - y*d + 3*d + 22 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 9*u**2 + 11*u - 4. Give h(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and -1 - -2 - (1 + -3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.41569 to the nearest integer.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47.7 - 47.6. What is the nearest to s in 2\/7, 0.5, -9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -92475, -92478, -92483, -92490, -92499?\n\"Answer: -b**2 - 92474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 112 + 48 = -n, -2*n - d = -146. Solve -25*p + 6*p = -n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 6*y - 10, -y + 5*o = 49 - 24 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.17 take away 672?\nAnswer: -670.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10.93081 and -6265.\nAnswer: -6275.93081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -372.02247 + 372. Let h = 0.022 + w. What is h rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -54077, -56432, -60363, -65876, -72977?\n\"Answer: -l**3 - 782*l**2 - 2*l - 53292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 7700\/9.\nAnswer: -5, -1, 7700\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4*q = -0*a + 24, 5*q - 2 = 10*q - 3*q - 7 - 7 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.624 - -0.024. Round w to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3619 to 1 decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4655514 and -0.09?\nAnswer: 0.041899626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42713.03 kilograms to grams.\nAnswer: 42713030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -530, -4, 12 in descending order.\nAnswer: 12, -4, -530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 452.4901 millilitres?\nAnswer: 0.4524901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132 - -130.96. Let i = l + 0.84. What is the nearest to 1 in 0.3, -6, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 482316680*a*g**2*u - 1905*g**2*u - 2*g**2 + 2*g*u + 6*u + 2319 wrt a.\nAnswer: 482316680*g**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 5. What is b(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401719757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-33)\/(-11))\/((-3)\/(-2) + -1). List the prime factors of 208\/6*126\/n.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -9. Suppose 2*c + c - 6 = w. Let x(g) = g**c - 3 + 2 + 6 + 5*g - 3. Calculate x(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(0 - (-2 - -3)). Let u be (-50)\/(-3)*30\/25. Suppose -t + u + 57 = k, -b*k + 5*t = -308. Calculate the highest common factor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -970, -1092, -1214, -1336?\nAnswer: -1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.5*-64769.\nAnswer: 809612.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45329.\nAnswer: 45329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2322244 is divided by 1161121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.17 + -0.02. Let k = x - -2.19. Let w = 4.5 - 0.5. What is the biggest value in w, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -47*m**3 + 93*m**2 - 51*m + 8. Let h(o) = 163*o**2 - 140*o**3 + 29 - 5 + 117*o**2 - 154*o. Let l(j) = -3*h(j) + 10*r(j). Factor l(w).\nAnswer: -2*(w - 1)*(5*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**3 - 4*t**3 - 5*t**2 - 400*t + 395*t. Let b(i) = -4*i**3 - 3*i**2 - 3*i. Give 5*b(n) - 3*p(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 16 - 44. Is 12 a factor of ((-36)\/l)\/(1\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/2327 + -193151\/23270. Calculate the common denominator of -25\/2 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 173.06 - 178. Let o = q - 0.06. Sort o, -0.4, 0.2.\nAnswer: o, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516659 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 13. Let m be a(-9). Suppose -m*l + 5*s + 39 + 211 = 0, 3*l = -2*s + 176. Let y = 67 - 47. What is the greatest common factor of y and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-20))\/1*(-490)\/(-56)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 179272.02493.\nAnswer: 179274.02493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*i**2\/13 + 216*i\/13 - 8\/13 = 0. Calculate i.\nAnswer: -2, 2\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 + -1.390911472?\nAnswer: -1.530911472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*y**4 + 101091*m*y**3 + 3793*m - 9 wrt y.\nAnswer: -8*m*y**3 + 303273*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/11395725 and -17\/93237750.\nAnswer: 1025615250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2470\/29, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2294)\/(2072\/56) - ((2 - 1) + -8)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7 + 17*j + 113*j.\nAnswer: 130*j + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**3 - 5280*n**2 - 1747668*n - 3474248 = 0.\nAnswer: -659, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zue when three letters picked without replacement from zzezezzezzzzzzzuzzzz?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11 - (3 - 2) - 0. Let b(s) be the first derivative of -s**4\/4 + 11*s**3\/3 - 9*s**2\/2 - s + 2. Let t be b(d). Solve i - t = 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -4. Let o = y - 5. Let h = 12 + o. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732822?\nAnswer: 2, 3, 37, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 2349. Let q be w(108). What is the highest common factor of 18 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 3 (c) -12.469492\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - 0. Which is the third biggest value? (a) 0 (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**5\/12 - 5*b**4\/6 - 57*b**2. Solve n(y) = 0 for y.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 4:41 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1517048?\nAnswer: 2, 13, 29, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 8:51 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1597?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 459 divide 1547289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-1 + sqrt(17) + -1 + sqrt(17)))*6*5.\nAnswer: -30*sqrt(17) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**3 - 107*h**2 - 344*h + 14. Determine p(-23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 49*u**2 + 4925*u + 58. What is a(-100)?\nAnswer: -2442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*s + 11. Suppose c - a - 3*a = -335, -1037 = s*c + 4*a. What is the tens digit of (-1)\/(-5) - c\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 12*i - 2. Determine n(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -72495?\nAnswer: -72495.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + 15. What is the remainder when (-16)\/i*(-162)\/4 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5183.955 milligrams?\nAnswer: 0.000005183955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 + -98. Put -1, n, 4, -2 in descending order.\nAnswer: 4, -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**3 - 2166*l**2 + 2166*l**2 + 11*l**3.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, -4, -7 in descending order.\nAnswer: 9, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**2 + h - 13. Let t(z) = -8*z**2 - z + 14. What is 4*t(c) + 6*u(c)?\nAnswer: -2*c**2 + 2*c - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmvvvvvvbmvvbvv. What is prob of picking 1 m and 1 v?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + 2)\/(1\/(-6)). Let q(a) = -13*a**2 - a. Let z be q(-1). What is the units digit of ((-4)\/z)\/(2\/k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3145\/2 or -1573?\nAnswer: -1573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 + -94.2. Which is the nearest to 1? (a) -1 (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - f**2 + 37. What is l(0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.61 + -0.51. Let d = -2405579.89999986 - -2405581. Let k = u - d. What is k rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i + 3. Let f be m(-3). Let h(l) = l**3 + 9*l**2 - 2. Let w be h(f). Let o = 0.3 + -0.3. Which is the closest to 0.1? (a) w (b) o (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 1215.\nAnswer: -364.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10530988?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*((-8)\/4)\/6 - 15\/9. What is the nearest to s in -5\/7, -23, 2?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -130 + 130 + 16*r + (2 - 3 + 2)*(-2*r - r + r) + (-2*r + 1 - 1)*(1 + 2 - 1).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-176 + 31 + 2 - -18)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 - 4*c + 1. Let w be z(2). Let j(i) be the first derivative of 2\/3*i**4 - 1 + 4\/9*i**3 + 4\/9*i**w + 1\/9*i**6 + 0*i + 1\/9*i**2. Factor j(m).\nAnswer: 2*m*(m + 1)**3*(3*m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/257, 4, -3, 2584 in descending order.\nAnswer: 2584, 4, -2\/257, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.4242 to the nearest integer.\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141324674 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14 + (-282)\/9)*(-3)\/2. Let z = 32 - 19. What is the greatest common factor of z and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 217 and 403?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - u - u + 2*u - 4 + 4 + 0*u - 2*u + u + (-4*u + 0*u + 2*u)*(-3 + 1 + 0) - u + 2*u + u)*(9 - u**3 - 9).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 386817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3657 = -1625*s + 70397 + 20140 - 12130 for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -0*n + 2*n + 5*s, 5*s = 3*n + 3. Let z(d) be the first derivative of -2*d**2 - 20*d + 1. What is the units digit of z(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 30. Suppose -3*q - q - 5*h = -22, -5*q - 4*h + k = 0. What is the second biggest value in 5, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -166\/1063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13418 (base 10) in base 4?\nAnswer: -3101222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 141*g - 1596.\nAnswer: -3*(g + 19)*(g + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972351 is divided by 91?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 10*a + 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/8 of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/4, 3, 38\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3550.569t?\nAnswer: 3550569000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1342511.\nAnswer: 307, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 11*f**2 - 10*f + 5. Let m(c) = c**3 - c**2 + c + 3. Let i be m(2). Let a be v(i). What is the highest common factor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*j**2 - 26*j**2 - 22*j**2 - 23*j**2 - 23*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-521 - 2)\/(-7 + 6). Let b(y) be the first derivative of 509*y**2 - 2*y + 15*y**3 - w*y**2 - 29 + 6*y. Suppose b(k) = 0. What is k?\nAnswer: 2\/9, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 811 = s + 805, m + 16 = 3*s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116 (base 13) in base 8?\nAnswer: 4521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1582 - -1586. Solve 16 = -4*w - 4*z, p*w + 10 = 13*z - 11*z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344438.\nAnswer: 2, 172219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-2)*9\/(-9). Is (232 - -1)*(t + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 35.94. Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12)\/((-39)\/(-24))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -122916 and -122881 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/4 of a decade?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746714 is divided by 144.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 75, 11 in decreasing order.\nAnswer: 75, 11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -10 - (4 - 1) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 245*s - 6161. Give d(-34).\nAnswer: 1013","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnwhnhwnhn. Give prob of sequence ww.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 10 = -p - p, 2*v + 6 = p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 10112585*y**2 - 910163025*y + 20478895875.\nAnswer: 5*(y - 45)**2*(y + 2022607)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11460, 11501, 11612, 11829, 12188, 12725?\nAnswer: 13476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2529*l + 17705. Let y be a(-7). Determine c so that 0 + 0*c**y + 1\/3*c**5 + 1\/3*c - 2\/3*c**3 + 0*c**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 20. Let w be k(19). Which is the closest to 1? (a) -1 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1094, -95, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 522. Let v(f) = -2*f + 556. What is 6*m(i) + 5*v(i)?\nAnswer: 2*i - 352","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-1)*t*t\/(t*t**(2\/13)))\/(t\/t**(-17\/5)*t**(-1\/8)) assuming t is positive.\nAnswer: t**(-1263\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 2*i - 420. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in 1\/16, 1270\/19, -7, -0.2?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j = 37*j - 2. Put -5, -3, 0, j in ascending order.\nAnswer: -5, -3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) -0.02 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-6))\/((-1)\/(-12)). Let r = -3 + 3. Suppose 0 = -v*i - r*i + 12. What is the remainder when 7 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c - 5*c**2 + c - c + 5 - c**3. Let f(q) = q**3 + 8*q**2 + 2*q + 10. Let p be f(-8). List the prime factors of k(p).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -14*l - 8. Let k be d(-4). Suppose 4*u - u = k. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 224093 and 3301539.\nAnswer: 3525632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/77 in 25, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/19 - 5034*d**3\/19 - 3098592*d**2\/19 + 87371136*d\/19.\nAnswer: -2*d*(d - 27)*(d + 1272)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-9))\/(y\/(y*y\/((y*y**(-10\/9)*y)\/y))*y)*y**(-4\/3)\/(((((y*y\/((y**(-3\/7)*y)\/y))\/y)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(-482\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/4 + 6\/(-8). Suppose 756 = 7*l - q*l. Suppose 1035 = -2*i - s, -i + s - 714 = -l. Round i to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 36*q**2 - 66*q - 201. Determine j(-38).\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -4*j - 20, -20 = j + 3*j + 3*h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q + 2 - 2*q**2 - 24*q + 5*q + 4 + 7*q. Calculate b(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*x**2 - 7*x**2 - 169*x**2.\nAnswer: -310*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1497.538 and 0.543.\nAnswer: -1496.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -61. Let f be (-1)\/4*-6*22. Suppose -5*p + 2*d = -f - 6, -5*d = 5*p - 25. What is the remainder when h is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/304159 and 11\/2060.\nAnswer: 6083180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8079.99 less than 0.764?\nAnswer: 8080.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -750*k*r - 393*r wrt k.\nAnswer: -750*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -10, 4, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -1, -3, -10 in decreasing order.\nAnswer: 9, 2, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2)*-4 + sqrt(19))*-5.\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452 + 2*s - 452.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 3. Let p be j(-6). Let f(c) = 5*c + 3*c - 3*c - 3*c. Let g(v) = 2*v. Suppose 0 = -3*s, 5*z + 5 = -2*s - 5. Determine p*f(h) + z*g(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2184 + 2181. What is the nearest to -3\/4 in 0, -6, 1\/11, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -407655, -407298, -406717, -405918, -404907, -403690, -402273?\nAnswer: -400662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 2*o**2 + 0*o**2)*(-2*o**3 + 5*o**2 - 5*o**2).\nAnswer: -4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -58, -79, -102, -127, -154, -183?\n\"Answer: -r**2 - 18*r - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 + 9*m - 22 - 2*m + 4*m - 3*m + (1 + 1 - 1)*(0 - m + 0) + 9 - m - 9.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.2355195ug?\nAnswer: 0.0002355195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 680 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a centimeter in millimeters?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2409 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 878107?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2923 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 - 3 + 1)*(k + k + 0*k + k + 0*k + k + k + 0 + 0 + (0 - 5 + 4)*(-3*k + k + 0*k) + 3*k - 3*k + 2*k) to the form v + z*k and give z.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2363 + 26?\nAnswer: -2334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyybbycyyyryyy. What is prob of sequence cr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**3 + 4*g**3 + g**3 + (-10*g**2 + 6*g**2 - 10*g**2)*(-7*g - 7*g - 16*g) as m*g**3 + z*g**2 + v*g + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 6*l**2 - 3*l - 9. Let m be n(5). List the prime factors of (130 - -2) + m + -1.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(2*z - 2*z + 27*z**2).\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -y + 3*l, 0 = -3*y - 2*l + 1 + 8. Solve -y*x + 2 = 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 1. Suppose x + 1 = 2*i - 2, 3*i + 3*x - 27 = 0. Suppose i*k = 47 + 153. Let g be k\/(-14) - (-9)\/(-21). Calculate t(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 25, -2*q - 2*q = 2*x - 2*q - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*a**2 + 156*a**2 - 22*a**2 + 18*a to the form j*a + s + l*a**2 and give l.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*h**2 + 2*h + 16*h**2 + h - 2*h**3 + 3*h**3 as u + g*h**2 + w*h**3 + k*h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 6:30 PM?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30517895?\nAnswer: 5, 19, 23, 13967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(605) + 1*sqrt(605))*-6)\/sqrt(11)*2)\/(-1*sqrt(605)*-1*5))**2.\nAnswer: 576\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -146958999 - -188.\nAnswer: -146958811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849607419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23798787751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 13*q - 363. What is the second derivative of r - 19 + q*r**5 + r - 14 - 9 - 54*r**5 wrt r?\nAnswer: 1340*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1108374960 to the nearest one million.\nAnswer: -1108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (17 - 24 - ((5 - 5) + -10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-533)\/(-65) - -3) + -10\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(5 + (-6 + 5 - 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241803.4l in millilitres?\nAnswer: 241803400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*v**2 - 3*v**3 + 20*v**2 + 4*v**3 - 17.\nAnswer: v**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z + 46. Let l be b(-11). Suppose 4*r = -2*n + 72, -9*n - 108 = -l*n + r. Calculate the highest common factor of 476 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-4)*12*27\/6804)\/(108\/24)\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n + 2. Let k be y(1). Suppose 3*s = k - 49. Let v = s + 30. What is the smallest common multiple of 24 and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p**2 + 10*p + 125. Let w be l(-27). What is w rounded to the nearest 100?\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -870.117 to the nearest integer.\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 49 - 2*u**2 + 24 - 262 + 66 + 67.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Suppose -2*n - 3*k = -3 - 2, -4*n + 22 = q*k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33144 + -230?\nAnswer: -33424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 189019737659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w + 41. Let f(q) = -29*q - 206. What is -11*d(r) - 2*f(r)?\nAnswer: -8*r - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -97074434 rounded to the nearest ten thousand?\nAnswer: -97070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -20*s**2. Let x(a) = 498*a - 1. What is x(t(k))?\nAnswer: -9960*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from {o: 2, x: 1, d: 1, t: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {l: 4, o: 3, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-216632)\/(-10) - 187\/85 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 72517481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/21)\/((15\/(-9))\/(-5))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 1)*(5*t - 4*t + 4*t)*(2 + 1 + 0) in the form n*t + f and give n.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 0*r + 6*r - r**2 + 4 - 2*r. Let o = -35 - -39. Calculate s(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 + -22. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**3*w - 76*h*w - 4*w - 11 wrt h?\nAnswer: 6*h**2*w - 76*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 16*d. Let c(t) = -124*t**2 + 36*t**2 + 45*t**2 + 45*t**2. Give r(c(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606*t + 1133 - 6432 = 18862 - 2951 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11 + 4 + 1)\/(-2). Calculate the greatest common factor of 4 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1135 is divided by 981?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48.317 + 0.183. Let q = z - 157.6. Round q to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17193 is divided by 703?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-2\/5)))\/y)**(-1\/13)*((y\/(y\/(y\/y**(-2\/11))))\/y)\/(y*y*y**(-2\/15)*y*y) assuming y is positive.\nAnswer: y**(-1561\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 - 264 = 2*f. Are -18 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 7:36 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - (47 + -22 + -22)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*h - 10*h + 18707220 = 81*h. What is h rounded to the nearest 1000?\nAnswer: 127000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3324826 centuries in decades?\nAnswer: 3.324826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeuue. What is prob of sequence uee?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 60 - 197*l)*(-2*l**2 + 3*l**2 + 2*l**2) + (4*l**2 - 5*l**2 + 3*l**2)*(-l + 0*l - l).\nAnswer: -595*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -168, -2\/15, 3, -0.2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 11:19 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = -19*l - 52 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -3, -1\/5, 1\/5, 110.\nAnswer: -3, -1\/5, 0, 1\/5, 6, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3412 - 1344. What are the prime factors of n?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-15))\/(-3*(-6)\/45). Let m be (s\/4)\/((-13)\/(-156)). Solve 5*z + 4 = -m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 476\nAnswer: -33.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -2*k + 360. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 32 + 2*v**2 + 2\/3*v**3 + 0*v. Factor r(u).\nAnswer: 2*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/17)*r)\/r)\/r)\/r**(1\/4)*(r\/(r*r*(r*r**(1\/4))\/r))**(4\/35) assuming r is positive.\nAnswer: r**(-719\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**4 - 4*r**3\/3 - 10*r**2 - 12*r - 24. Factor t(p).\nAnswer: 4*(p - 3)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/120)\/((-6)\/(-8))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2530 (base 6) to base 11.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 3\/4, 2\/11, -19?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*r - 5*h + 31, -4*r + 5*h = -18. Suppose 3 = -b + r. Let d(v) = -2*v**3 - b*v**2 + 0 + 2 + v**3. Determine d(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6213 times -31?\nAnswer: 192603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 1840?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/(-120))\/(10\/(-18))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 - 241 + 2143727*k**2 + 2768 - 2143725*k**2 - 3*k**4 + k**4 - k**4 + 0 + 2*k**4 + 0 + (-4*k**2 + 4*k**2 - k**4)*(-3 + 0 + 1).\nAnswer: -k**4 + 2*k**2 + 2527","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s - 2120 = -18*s - 7707. What is the least common multiple of s and 5?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*i - d, -4*d = 3*i - 61 - 0. Is i a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9))**(45\/7) assuming x is positive.\nAnswer: x**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 60084 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b (base 12) to base 5.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*w**2 + 26*w**2 - 5*w**2)*(-4 + 2 + 3)*(3 - 1 - 1)*(0 - 2 + 1).\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 4, 0 = 4*d + d - 2*o - 27. Let c(a) = -a - 2 + 4 + 0*a + 3. Determine c(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 3*t - 5. Let k = t + -20. Calculate the remainder when k is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 383947?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 18 = -3*k, -5*k - 48 + 18 = -3*m. Let v = 19 - 25. Do v and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 4*n**2 - 3*n - 6. Let q be a(5). Suppose q*o = -s + 47, 8*o - 9*o + 3*s = -15. Solve o = -4*h, -l - 4*h - 3 - 14 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22707.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 4*a + 6, 2*h + 0*a = a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -0.0881?\nAnswer: -0.005286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3\/5 - 262*g**2\/5 + 9774*g\/5 - 112266\/5 = 0.\nAnswer: 27, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3713670341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 50 = -9*a. Suppose 0 = -4*l - 2*h + a, 4*l - 10 = l + h. Which is smaller: l or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71457.6 to the nearest one thousand.\nAnswer: -71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4. Let t(o) = -o**3 + 17. Suppose 2*u - 62 = -29*u. Suppose 2*q - u*z + 33 = -5*z, 4*q + 5*z + 61 = 0. Give q*k(l) + 2*t(l).\nAnswer: -2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*o*r**3 - o*r**2 - 38795*o*r - 250*r**3 + 182*r**2 + r - 1 with respect to o.\nAnswer: -9*r**3 - r**2 - 38795*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 857855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -71583.207 rounded to the nearest ten?\nAnswer: -71580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 26 - d - 3 + 49*d. Is 19 a factor of b(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -129942004 divided by -64971002?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 - 79. Let p(o) = -o**3 + 9*o**2 - 6*o - 11. Let b be p(8). Solve -3*l - j = b*k, 2*k + 4 = 2*l - 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*z**3 - 2*z + 2*z - 345*z**3.\nAnswer: 92*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -720250, -1440390, -2160440, -2880406, -3600294?\nAnswer: -4320110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 16*m - 136032 = 0. Is (-20)\/6*m\/(-52) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 18, w: 2}. Give prob of sequence wwj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 268*c**2 + 7*c - 22. Is u(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 - 34. Suppose -p + z = 7. Solve -5*l + 0*l = -p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 2*t. Let q be x(-2). Is 819\/2 + ((-10)\/q - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -7636?\nAnswer: -7636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3091*q**2\/6 - 361645*q\/3 + 156 = 0.\nAnswer: -234, 4\/3091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17384 and 15416.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*x - 1072454 + 1072454.\nAnswer: 441*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 8:39 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(3400))\/(sqrt(4)\/sqrt(18)) + 5 + (sqrt(136) + (sqrt(136) - -6*sqrt(136)*-2))\/(sqrt(128)*2))**2.\nAnswer: 1175*sqrt(17)\/2 + 939225\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 36 + 58. Let f = -31 - y. Suppose 5*t + 4 = j + 2, -3*j - 4*t = -44. Calculate the least common multiple of j and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5811.768 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 686 and 196.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + -23)\/(-8)*351\/6 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47\/12 - 25\/6. Let b = 46.4 + -45. Let c = b - 1.2. What is the second smallest value in -4, f, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 0*n**2 - 2*n**2)*(27 - 27 + 3*n).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 8*q - 13. Let h be z(6). Let u = 1 - -4. Sort -4, u, h in decreasing order.\nAnswer: u, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5254*l - 141881. Calculate j(27).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -88, -93, -100, -109, -120, -133, -148?\n\"Answer: -c**2 - 2*c - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 e when three letters picked without replacement from eeddd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 1)*(-7 + 7 - 3*v) - 5*v - 9 + 9 + (-4 + 0 + 0)*(0 + 2*v + 0) + 0*v - 3*v + 5*v to the form a*v + i and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/3 - 166*w**3 + 76981*w**2\/3 - 1243340*w + 56100100\/3.\nAnswer: (w - 214)**2*(w - 35)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 796156313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dccpicffndpcifccfcdc. What is prob of sequence pcnf?\nAnswer: 8\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfwfnfwbwtwwbwnttftn. Give prob of picking 2 t and 1 w.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*g - 7*g + 195, 0 = v + 1. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 68*o + 135. Let u be n(2). Let m(p) = 5*p**2 + 2*p - 3. Give m(u).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -22. Suppose -1 = -q + o. Solve -q*s = -20, 2*s - 3 = n + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 - 2*t + 2. Let r be 2*(-2)\/2*1. Let o be f(r). Let i = 8 + o. Solve i*p = -0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24.89 and -0.2?\nAnswer: -4.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihmtlhmmmhtthitm. Give prob of picking 1 t, 1 l, and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - s + 20. Suppose 4*x = -5*p + 39, 0*x + 5*p = -2*x + 27. Let l = s - x. What is the closest to l in -4, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 10. Let r(t) = t**2 + 122914. Calculate r(y(w)).\nAnswer: w**2 - 20*w + 123014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 10. Let z(v) be the third derivative of v**4\/6 - v**3\/3 + 11*v**2. What is the remainder when z(m) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*n**6 - 99*n**5*w**2 + 3*n**2*w**2 - 17*n**2 + 8*n*w**2 wrt n.\nAnswer: -960*n**3 - 5940*n**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 275489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/3))**(-23\/5)\/(p**6\/((p\/(p**(-9)*p*p))\/p)))\/((p**(-1))**(1\/19)\/((p*p\/(p\/(p\/p**(4\/7))))\/p*p*(p*p\/p**(-5))\/p)) assuming p is positive.\nAnswer: p**(19979\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - -36 - -21 - 55.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 134502 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 82*s - 69. What are the prime factors of o(-55)?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.374 and -0.2?\nAnswer: -0.0748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {p: 10, w: 1, o: 7}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1712\/(-14))\/((-26)\/91). Let f = t + -464. Is -2 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 46914776, 46914769, 46914756, 46914737, 46914712, 46914681?\n\"Answer: -3*j**2 + 2*j + 46914777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 418*s + 4182. Let n be f(-10). Solve 3*k + n*u - 47 + 51 = 0, -5*k = 2*u + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 94 (c) 0.5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/36*-3 - 1616\/(-12). Suppose -5*s + 4*h = -w, 0 = 2*h - 4*h - 2. What is the highest common divisor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3646697, -2 in descending order.\nAnswer: 6, -2, -3646697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + (sqrt(20) - sqrt(500)) - sqrt(20))*-5)\/(sqrt(80)\/(sqrt(40)\/sqrt(5))).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8816919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 10944.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109*m**3 - 73?\nAnswer: -327*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 2. Let u be w(-2). Suppose -r + 90 = -4*r + n, u = r - 3*n + 22. Let j = r + 44. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -139, -138, -137?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/223822 and -2\/783377.\nAnswer: 1566754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/37 in -3\/46, 2, 2\/3, 4, 0.4?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(15)*3 - (sqrt(1500) - (sqrt(1500) + sqrt(1500) + (-3*sqrt(1500) - sqrt(1500))) - sqrt(1500)))\/(-6*sqrt(30)\/(sqrt(40)\/sqrt(4)*-1)) + 3.\nAnswer: -4*sqrt(5)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 143.4 and -40398684.\nAnswer: -40398540.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.3 + 10. Which is the closest to 0.1? (a) -3\/2 (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 142*h - 95. Calculate the greatest common divisor of h and 386.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -55. Let v be (26\/6 - y\/(-6)) + 477. Let b = v - 318. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2230711 and 688?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/3*-6*(-6)\/(-12). Solve 5*r = -3 - m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-seven halves of a kilogram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -3 - 0)*4 + (-32)\/8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w + 5. Let x be 8 + 2*3\/(-2). Let k(g) = -8*g - 6. Let a(b) = x*k(b) + 6*p(b). Let z(q) be the first derivative of 2*q**3\/3 - 2. Give a(z(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -2\/3, -17, -2\/5 in decreasing order.\nAnswer: -2\/13, -2\/5, -2\/3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from gzzzgzzbgzznzgnngg.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 7}. What is prob of sequence ba?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) 10177 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1530323 - 1010?\nAnswer: -1531333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3697 + -5?\nAnswer: 3692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -15*k**2 - 53*k + 40. Let b(l) = -4*l**2 - 13*l + 9. Determine -9*b(h) + 2*v(h).\nAnswer: 6*h**2 + 11*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1668*c + 16409 = 886*c + 1051*c for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -372775416 divided by 3\nAnswer: -124258472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**6\/40 - z**5\/10 + z**3\/2 + 15*z**2. What is the remainder when h(-3) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82796 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*x - 644 = 0, -133*i + 128*i + 1078 = -2*x. What is the remainder when 475 is divided by i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/11479 and 35\/104?\nAnswer: 91832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 8 - 2. Suppose 2*l + 8 = -m*q, 2*q = -0*q + 8. Let k be 5\/6*l*18000. What is k rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1995, -1996, -1997?\nAnswer: -1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 8*b**2 + 11*b + 23. Let g be i(-9). Suppose 2*q = -g*q + 2*q. Solve y + 6*p - p + 15 = q, -12 = 4*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/68)\/(5885\/(-6420)*6\/(-44)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 175.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -11*o + 121, -5*o - t + 0 = -8*o - 0*t - 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i - 2. Let o(s) = -12*s**2 - 18617. Calculate o(f(r)).\nAnswer: -2352*r**2 - 672*r - 18665","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-12))\/h**(2\/11))**(10\/3) assuming h is positive.\nAnswer: h**(470\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*q - q - 3, 5*b = 0. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2466.97 or 83?\nAnswer: -2466.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/7)\/t**(-1\/6))\/((t\/(t*t**(1\/8)))\/(t\/(t*t*(t*t*t**(-2\/3))\/t))) assuming t is positive.\nAnswer: t**(-79\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 77981, 152748, 227515, 302282?\n\"Answer: 74767*o + 3214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 2)*(-24)\/9. Let j be (30\/5 + -7)\/((-2)\/14). Suppose -j*x - 47 = -82. Solve -x*i + n = q - 20, -15 = -5*n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/3*(-21)\/14. Let t(a) be the third derivative of a**3 + 3 + 0*a + 1\/12*a**4 + 4*a**2. Calculate t(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 12*o. Let x(j) be the first derivative of -j**2\/2 - 96. Calculate d(x(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/40 of a microsecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2399566 = -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 13) to base 11\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4084.356cm to millimeters.\nAnswer: 40843.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 443, 673, 903?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.6, -0.2, 2, -2, 3654?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49902858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 11 = -5*t. Suppose -t*h = -3*g - 6, 3 = 4*g - 1. Let -2\/7*x**h + 0*x + 0 + 2\/7*x**2 = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 83 = -143 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -266 - -265.7. What is the closest to n in 2\/11, 2.6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 30934*x**3 + 2*x + 5 + 6 - 30931*x**3 - 5*x**2 - 7. Calculate m(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40475634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/6)\/(1\/(-3)). Let c = h - -36. What is the remainder when 45 is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2770.\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2218050 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5784 - y + 0*y - 5790 + 2*y. Suppose 0 = -f - 4 + 13. What is g(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {j: 5, y: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-7)*(-20)\/(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 54 = 7*w + 2*i, 4*w = -i + 51. Let f be (-48)\/15 + w\/(-15). Let b(v) = -v**3 - 2*v**2 - v + 1. What is b(f)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 11:50 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 32*i + 7392 = 0. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/4, -2, -4, 941 in increasing order.\nAnswer: -5, -4, -2, -1\/4, 941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 227*c**6\/120 - 79*c**3\/2 - 40*c**2. Find the first derivative of v(j) wrt j.\nAnswer: 681*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 12, 2*f = 5*b + 19 - 141. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88\/5*c**2 - 96\/5 - 188\/5*c + 4\/5*c**3 = 0. Calculate c.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-7\/5)*a))\/(a*a*a*(a\/a**12)\/a)*(a**(2\/5))**(-44) assuming a is positive.\nAnswer: a**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -3, -4, 1 in descending order.\nAnswer: 4, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41306 (base 8) to base 3.\nAnswer: 212110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -7. Suppose v*y - 8 = -b, 6*y - 3*y - 1 = 4*b. What is the remainder when 90\/24 - (-3 - (-66)\/24) is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 823600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 47. Which is the second biggest value? (a) 0.4 (b) g (c) -2\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + 11*w**2 - 21*w + 11. Let o be m(6). Suppose 4*n - n = -3*y, -2*n - 5*y = -6. Is (0 + (o - n))\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2. Let o(m) be the third derivative of 0*m + 0 + 0*m**3 + 10*m**2 + 37\/24*m**4. Calculate o(i(u)).\nAnswer: -37*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/49 in 5, 0.2, 2, -1, 118?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 0.5 (c) -0.2 (d) -2 (e) 58 (f) -2260\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1310*u**3 + 22*u. Let y(h) = 262*h**3 + 4*h. Calculate -4*c(r) + 22*y(r).\nAnswer: 524*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -428, -1058, -2434, -4928, -8912, -14758, -22838, -33524?\nAnswer: -47188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3815\/(-3675) - 8\/(-10))\/((-18550)\/(-1860) - 10).\nAnswer: 62\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.52593013 rounded to 1 dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.001 - 13.001. Let g = 15 + y. Let h be (-4)\/(-6)*(93\/18 + -5). Which is the nearest to 2? (a) g (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2430)*-1 - sqrt(2430))\/(-1*-2*sqrt(6)))**2 + -4.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(-28 - (-42592)\/1520)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3dc1 - 41a0?\nAnswer: -1bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -314*l**2 + 687*l**2 - l - 2*l**3 - 1 - 27*l**4 - 373*l**2 to i*l + o + h*l**4 + t*l**3 + p*l**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11856 divided by -156.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2603.\nAnswer: 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iricsrviirrsiyv. Give prob of sequence csir.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u = 0. Let d be 4*(15\/(-14) - -1). Let o = 0.68 + -0.38. What is the closest to d in o, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113 and 2825?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by -1?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 2:36 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.253 - 3.747. Which is the smallest value? (a) y (b) -0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -2*z**3\/3 + 3180. Let o(q) = -1776*q. Calculate d(o(v)).\nAnswer: -6308352*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*v - 34 + 9, -2*v = y - 5. Let x = -5 - -1. Sort -2, x, v.\nAnswer: x, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 7. Let u = -2.9 + q. Let r be 144\/42 + 8\/(-2). Which is the nearest to 0.1? (a) r (b) -0.5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 14*g**2 + 30. What is the lowest common multiple of 99 and k(5)?\nAnswer: 8415","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -58, -2\/7, 3 in increasing order.\nAnswer: -58, -2\/7, -1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2699 and -0.1.\nAnswer: 2698.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -2*r**5\/5 + r**4 - 2*r**3\/3 - 1. Factor p(h).\nAnswer: -2*h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -12 + 4. Suppose -5*f + 4 = n - 2*n, 5*n + 2*f - 7 = 0. Suppose t - u*t = -n. What is the greatest common divisor of 4 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51\/2 - -26. Let t(m) be the first derivative of m**2 - 2 + 4\/3*m**3 - 4*m - a*m**4. Factor t(k).\nAnswer: -2*(k - 2)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, 3, -73, 20, 2, -4.\nAnswer: -73, -13, -4, 2, 3, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 6*b - 54115 + 54123, -2*j - 4*b = -0*j + 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnwwwwwnwnww. What is prob of picking 1 w and 3 n?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v + 14 = -14*v. Suppose 0 = 6*w - w + v*r - 29, 2*w = -2*r + 14. Solve -w*f = m + 17, f + 3*f = -4*m - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + -4. Let f(c) = -2 - 3*c - 4 - 1 - 2*c. Is f(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2609 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhhhrhhhhhhhhhhhhhh?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.7, 311, -0.0312?\nAnswer: -0.0312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 7}. What is prob of picking 1 k and 2 h?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 911347574 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 538832453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 27. Suppose -4*b + a*b + 4 = 0, 0 = 2*q - b + 96. Round q to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -501*s + 1626 = -500*s. Is 80 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 408*z + 25360. Determine q(-54).\nAnswer: 3328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b. Let h(u) = -3714970*u. Calculate q(h(p)).\nAnswer: -7429940*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2658 - 7769413.\nAnswer: -7772071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -522007 + 599785985\/1149. What is the common denominator of -32\/15 and g?\nAnswer: 5745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 1\/8, -5\/2, 5196, -2\/11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 13*c - 3. Let a be p(4). Let u = 1479 - a. Round u to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 22 = -r - 3*r, 4*r = -5*a + 26. Solve -22 = -4*h - 5*k, -a*k - 3 = -4*h + 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2563 + 2664. Which is bigger: 498\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**2 - 73*x - 13. Let q(f) = 142*f + 1680. Let r be q(-12). Determine a(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*t = -t + 312, -614 = -4*q + 2*t. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67133406818 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 72\/125545 and 57\/3596495.\nAnswer: 61140415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 1. Let w be (28\/16)\/((-1)\/4). Let d = w + a. Is 4 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38126 divided by 11?\nAnswer: 3466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -i - 4*k, 3*k = -4*i - 0*k - 68. Let q = i - -61. What is the remainder when q is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u**3 - 6*u**2 + 4*u. Let h(j) = -j**4 - j**3 - j. Let x(m) = 4*h(m) + 2*i(m). Factor x(n).\nAnswer: -4*n*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 37 - 5. Suppose s = 5*s - h. Put -4, -3\/4, s in descending order.\nAnswer: s, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 10*t**3 - 28*t**2 + 11*t - 13. Let w(l) = 7*l**3 - 19*l**2 + 7*l - 9. Let m(k) = 5*q(k) - 7*w(k). Suppose -g + 5*g - 24 = 0. Determine m(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3864, -3857, -3852, -3849?\n\"Answer: -t**2 + 10*t - 3873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41.66 + -42. Let s = 341.7690002 - 342.109. Let a = s - y. Round a to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22542400?\nAnswer: 2, 5, 73, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 + 6*-3 + (-149 - -144) + 30.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -6. Calculate the remainder when b is divided by (-8)\/(-5) + (-8)\/(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -27, -0.07, -1, 2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**5\/9 + 4*d**4 - 160*d**3\/9 - 4*d**2 + 18*d = 0.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/117*3*9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 1:43 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 smaller than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*d + 44, 16 = 5*d - 4*z - 37. Let k be ((-5 - 0) + 2)\/((-2)\/((-10)\/(-3))). What is the nearest to d in k, 3, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 0 + 0)*((0*f**2 + 2*f**2 - f**2)*(f + f + 0*f) + 216 - 197 - 3*f**3 + 4*f**3 + f**2) as t + s*f**4 + u*f**3 + y*f + c*f**2 and give y.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.139054 to 4 dps.\nAnswer: -0.1391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -400525, -400468, -400389, -400282, -400141, -399960, -399733?\n\"Answer: l**3 + 5*l**2 + 35*l - 400566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 697, 6355, 21719, 51643, 100981, 174587, 277315, 414019?\nAnswer: 589553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 - 2*o**3)*(0*o - 2*o + 4*o) + 2*o**4 + 3*o - 3*o - o**2 + 0*o**4 + 15*o**4 - 27*o**4.\nAnswer: -14*o**4 - o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/15 + 98*j**4\/15 - 38*j**3\/3 + 94*j**2\/15 = 0 for j.\nAnswer: 0, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12567576095 + 3?\nAnswer: 12567576098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 1 p when three letters picked without replacement from tyztzzqtzypzqzqtyqz.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-3 - 3) + 9 + -17.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4337 > 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.13 - -9.57. Let z = 10 - a. Let q = 1.3 + -0.3. Which is smaller: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 8, -d - 12 = -3*d - 2*j. Let p be 1 + 0*1\/d. Which is the nearest to p? (a) 0.3 (b) -5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 44*u**2 - 5*u. Let k(y) = 22*y**2 - 3*y. Give 5*k(t) - 3*r(t).\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 25, -1, 7, -2, -6.\nAnswer: -7, -6, -2, -1, 7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**2 - 3*u - 3. Let j(r) = -49*r**2 - 35*r - 35. Let q be (-1 - -109)*(-6 - (-150)\/20). Let y be 9\/4*216\/q. What is y*j(l) - 35*z(l)?\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 2. Let i be c(-2). Let r(f) = 1 - 6*f + i*f + f. Let z(g) = g**3 + 4*g**2 - 7*g + 31. Let n be z(-6). What is r(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*q**2 + 74*q**2 - 125*q**2.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/70 + 6 + (-44)\/8. What is the closest to a in 2\/3, 0.1, -0.6, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26495 = -2205*i - 10990 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4 + 1 + 9 - 13 + 5*i**2. Let r(b) = -4*b. What is x(r(m))?\nAnswer: 80*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63918 and 576.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 6*l + 5. Let z = 20 + -14. Let n be d(z). Solve -4*a + 16 = 0, -2*y + 7 + 17 = n*a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8337213?\nAnswer: 3, 926357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -3, 320.26 in increasing order.\nAnswer: -3, 53, 320.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*m + 71*m - 40*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486*o = -481*o - 2*v - 151, -2*o - 4*v + 46 = 0. Let f = -26 - -122. Calculate the remainder when f is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**2 + 33 - 17*g - 9*g**2 + 3*g**2 + 4*g. Let b be v(-15). Calculate the greatest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.20613km to micrometers.\nAnswer: 206130000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -127.443443?\nAnswer: 254.886886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 - -160. What is the remainder when u is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -2)*-3 - (-228)\/38. Let p = -51 - -50.98. What is the closest to p in -3\/2, 1\/2, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*n + 14403 = 0, -j + 3*n - 1625 = -8827. Does 36 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 3)*(-4*q**2 + 3*q**2 + 2*q**2)*(-608*q + 207 - 65 + 323*q + 329*q) as z*q**2 + g + h*q + u*q**3 and give u.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33155 by 7.\nAnswer: 33155\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, 4 in descending order.\nAnswer: 15, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjmjujmmuummummmmmmm. Give prob of picking 2 m and 1 j.\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 737.205 - 710.1. Let o = a + -27. What is o rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 + -128. Let r(h) be the first derivative of -3*h**2 - 4*h + 40. What is r(m)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*r + 15*r = -1288 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3232827cm to micrometers.\nAnswer: 3232.827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 366 divide 340746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b64 + -2?\nAnswer: b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 6*d**2 + 3*d + 2. Suppose -9 + 19 = 2*t. What is x(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3306*r - 13228. Let i be b(4). Let x = 12 + -7. What is the third biggest value in i, x, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 251*k**2 + 6*k + 33. Does 66 divide m(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1207?\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l**2 + 0*l**3 + 3*l - 6 + l**3 + 1 - 4. Let c be o(7). Let k = c - 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 847?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18088 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3 = 3*d + 5, -3*d = 4*z + 23. Calculate the remainder when 5 is divided by 12\/(-30)*(d + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3773 + 0.0682. Let d = h - -0.288. What is d rounded to 3 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/5, 5\/2, -147, 1, -211?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -14*c - 2 + 1 + 0. Let g(k) = 58*k - 36*k - 29*k + k**2 - 1 - k**3. Let i be g(0). Calculate x(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, -22, -67, -138, -241, -382, -567, -802?\n\"Answer: -h**3 - 4*h**2 - 6*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -46.1 (b) -8 (c) -3\/2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/5? (a) 1\/8 (b) -3\/2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011110010010011111 (base 2) in base 3?\nAnswer: -201121202222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**2 + 4*n + 146. What is k(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**4\/4 + 2*h**3\/3 - h**2\/2 - 7. Let j be p(1). Solve -2*n - b = 3*n + 9, -2*n + b + 2 = j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = 10. Suppose 5*q + 4*o - 90 = 3*o, 0 = u*q + 5*o - 76. Calculate the highest common divisor of 136 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2040*b**3 + 1042*b**3 + 1002*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1274 and -51\/1274?\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 22 + 8 = 0. Let l(r) be the third derivative of -1\/120*r**6 - 1\/30*r**o + 2*r**2 + 0*r**3 + 0*r + 0 - 1\/24*r**4. Determine g so that l(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -13 + (-29)\/(203\/(-84)). Let n(d) = -d - 1. Let p(z) = -30*z - 8. Determine x*p(o) + 8*n(o).\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 15*p**2 + 33*p - 10. Let m be v(-17). Let j(r) = -r**3 + 7*r**2 - 6. Let a be j(m). Let o(w) = w - 4 - 2 + 2. Calculate o(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/18 + 357\/27. Suppose -53 = -3*f + u. Let i be (-910)\/(-77) + 4\/f. Solve 3*a - 8 = -a, 0 = 2*d - a + i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4105 a factor of 289665570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 10*w - 16. Let p be c(7). Calculate the greatest common factor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1637, -3154, -11139, -22318, -36691, -54258, -75019?\n\"Answer: -1597*p**2 + 3234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 41227 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/5 - 63*x**4\/5 - 10*x**3 + 744*x**2\/5 = 0. What is x?\nAnswer: -62, -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4361 bigger than 4361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 55640617 a multiple of 464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*i**2 - 85*i**2 + 52*i**2 - 86*i**2 + 222*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/16 and -61*((-5)\/10 + 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10335888 to the power of 1\/2, to the nearest integer?\nAnswer: 3215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -42*y - 318. Give d(-152).\nAnswer: 6066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696014 is divided by 34791.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/30792 and 37\/24?\nAnswer: 30792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-656)\/160)*120\/(-5)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k - 16 = 24*k - 3*g, 0*k = 2*k + 9*g - 118 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*h - 53*h - 54*h = -5*a + 25, 30*h + 4*a - 6*a - 878 = -148*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, e: 5, u: 1, i: 4, m: 1, k: 1}. What is prob of sequence eki?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.61 - -1.61. Let h = 758 + -745. Put -0.5, h, 3, m in decreasing order.\nAnswer: h, 3, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544 = 106*f - 459 - 799 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 8*i**2 + 5*i - 9. Let q be k(-7). Suppose 0*u - 53 = -5*u + 3*d, -12 = -3*d. Let m = 8 - u. Sort m, 0, q in increasing order.\nAnswer: m, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.1 (b) 0.5 (c) 6\/7 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13457*m + 12279 wrt m?\nAnswer: -13457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*j + 162936 - 164576 = 0 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 80*v**2 + v + 7. Let a(b) = -238*b**2 - 3*b - 20. Determine 6*a(h) + 17*p(h).\nAnswer: -68*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhhhvhvvvvvvh. What is prob of sequence hhv?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3277 is divided by 351?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2363400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 413 + 2?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 1:09 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 7. Suppose 14 = x*g - 11. Suppose 0 = 5*j - 0*j - l + 5, j - g*l - 23 = 0. What is the closest to j in -2\/17, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -265, -226, -153, -40, 119?\n\"Answer: p**3 + 11*p**2 - p - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2203692 is divided by 2235.\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**3 - 12*w**2 + 7*w - 34. Let p be k(-5). Solve 0*t + p = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 126\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 6:53 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -35. Suppose -2*k + 4*p = -16, k = -4*k - c*p + 55. Calculate the lowest common multiple of k and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 74268.\nAnswer: 1\/24756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27816 to two decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1000 divided by 2\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 15. What is the greatest common divisor of m and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 3*x + 12 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11783 (base 10) to base 8\nAnswer: -27007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21494 and 428903?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 8*z - 6*z. What is the lowest common multiple of z and 2\/(-4) + (-78)\/(-12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by 55415.\nAnswer: -64\/55415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = q + p, 5*q + 21 = 2*q - 2*p. Let k(u) = -9*u - 36. Let y be k(q). Let n = 12 - y. Calculate the remainder when 5 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*p = -41*p - 17052. List the prime factors of p.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/11))**(-2\/53)\/(((p\/p**15)\/p)\/p)**27 assuming p is positive.\nAnswer: p**(251860\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-59)\/((-6018)\/68)*15\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0408+-8\nAnswer: -7.9592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 680793?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 g when three letters picked without replacement from {g: 3, b: 9}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1275 - -635. Round x to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 13*h + 12. Give b(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18211207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-36)*0*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -50701, -50879, -51057, -51235, -51413, -51591?\n\"Answer: -178*q - 50523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 0 + 8*q**2 + 2\/45*q**6 + 0*q - 8\/9*q**3 + 1\/45*q**5 - 8\/9*q**4. Factor n(z).\nAnswer: 4*(z - 2)*(z + 2)*(4*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqqeqqqqqqqe. What is prob of picking 3 q?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*v - 5*v + 91, -63 = -3*s + 3*v. Let l be 37 - ((s - -1)\/4 - 3). Is 37 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 18*c - 6. Let x be k(-3). Let j = -59 - x. Let n(b) = -b - 4 - 18 - j. Let y(p) = -p**2. Give n(y(o)).\nAnswer: o**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -37\/18 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/6 and -70\/369.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395 + 36*t - 511*t - 392.\nAnswer: -475*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.14, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83*h*j**2*o**3 - 9*h*j**2*o - 6*h*j*o**2 - 8*h*j*o - 3*h*o + j**2*o**3 + j*o**3 wrt j.\nAnswer: -166*h*o**3 - 18*h*o + 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35602152 (base 7) to base 2.\nAnswer: 1100000011100110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4390, -4253, -4132, -4027?\n\"Answer: -8*j**2 + 161*j - 4543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uunhahuvquhu. Give prob of picking 1 u and 1 h.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 373 - 445. Calculate the common denominator of -41\/6 and (-92)\/p*63\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let a(q) be the third derivative of q**6\/360 + q**4\/12 - q**2. Let w(s) be the second derivative of a(s). Calculate w(n(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9599 + 28796\/3. Which is the closest to w? (a) 1\/2 (b) 0.4 (c) 2.97 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8755 - 401 = 2*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + 4\/(0 - 2). Suppose -t*z = -4*b - 26, -6*z + 20 = -2*z - 3*b. Solve -3*k - z*k = -15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 119*z - 3298. Let n be l(74). Solve 15*k - 77 = -n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - 2*z + 5*z - 4*z + 2*z + z + 4*z - 2*z - z + (4 - z - 4)*(-6 + 3 + 1) + (-1 + 7 - 4)*(4*z - 2*z - 3*z) + 5 - 5*z - 5.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*85825\nAnswer: -51495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 16. Let k be a(-7). Suppose d = -d + 6. Suppose 2 + d = k*w. Solve -2*b + 2*n + w = 3, 4*n = b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -10*t + 13*t. Suppose 3*b - 6 = -t. Solve b = -2*w + 3*p - 18, 4*w = -0*p + 3*p - 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + 19. Let c be s(-11). Let d be (6 + c - -3) + -3. Suppose d*u - 124 = -5*k, -4*u + 5*k + 220 = u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.486063651 to four decimal places.\nAnswer: 1.4861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5167985.\nAnswer: 5, 23, 44939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-52) - (-10)\/(-65).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1316*p = -1313*p + 24 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 10) to base 4\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-18 + (-25 - (-62 - -4)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124346, 248570, 372794?\nAnswer: 497018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 6:45 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526781099.\nAnswer: 13, 19, 37, 57641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 3) in base 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*b - 3*r - 0, -2*r = -4*b + 16. Suppose 2*x - 3*x + 6 = 0. Is b < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 8:36 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 20, 4*h - 20 = 6*n - n. Let p be 6\/(-8) - (-1)\/2. Are h and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.42 + -1.02. What is the third smallest value in -1, h, -1.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + 5. Is (-6)\/b - (-824)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*w + 4. Let g be (w\/5)\/(1\/(-5)). Let c = g + 6. Solve -c + 3 = 3*v - 2*f, 4*v = 2*f - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 1400.\nAnswer: 9\/1400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 2634 = -3*n + 2643, 0 = 3*n - 4*w + 15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.8 and 0.05441265422.\nAnswer: -2.74558734578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -11*v**5\/4 + 115*v**4\/3 + 335*v**3\/6 - 90*v**2 - 56*v - 2. Let t(m) = 0. Calculate m.\nAnswer: -1, 4\/11, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i - 9. Calculate s(-4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2721867403 minus 0.09?\nAnswer: -2721867403.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 26 = -p + 5, -3*y + 1 = 4*p. Let a(z) = -10*z**2 + 38 - p*z - 20 - 31 + 8*z**2. Let j(m) = -m**2 - 2*m - 6. What is 3*a(r) - 7*j(r)?\nAnswer: r**2 + 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-1) + 40\/4. Let n be (8\/2)\/((-6)\/(-27)*6). Let k = s - n. Solve 11 + k = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -6\/7, -9\/377, -2\/3 in descending order.\nAnswer: -9\/377, -1\/6, -2\/3, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -276*u - 710. List the prime factors of a(-44).\nAnswer: 2, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3168))\/(2*sqrt(396)) + 3.\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.85 + 11.75. Let r = 4 - 3.5. Put 0, i, r, -2 in descending order.\nAnswer: r, 0, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 q, and 1 k when three letters picked without replacement from pvqppfpkk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 2 + 0)*(n - 3*n + 3*n) - 46*n + 85 - 85)*(3 - 3 - 1 + (-1 + 3 + 0)*(0 + 1 - 2))*(4 - 3 - 2) to f*n + x and give f.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1929.\nAnswer: 192.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -1\/60*j**5 + 2*j**2 - j**3 + 11\/24*j**4 + 0*j + 0. Let b be u(5). Calculate the highest common divisor of 36 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36834, -5, 5.\nAnswer: -36834, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + g - 9, -5*h = -2*g - 5 - 12. Factor -2\/5*j**2 + 3\/5*j - 1\/5*j**h - 1\/5 - 2\/5*j**3 + 3\/5*j**4.\nAnswer: -(j - 1)**4*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v**2 + 8*v**2 + 7*v**2)*(-52*v - 203 + 203) + 3*v**3 - 4*v**3 + 2*v**3.\nAnswer: -259*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 168. Let d = -12 - n. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104883536669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110 + -102. Factor -2*p**3 + 22*p + 42*p**2 + 7*p**3 + d*p - 7*p**2.\nAnswer: 5*p*(p + 1)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/6)\/(2\/(-3)). Suppose -k = -n + 5, 0 = -5*n + k + 13 + z. Suppose -d = a - 6, -4*a + 0*a = -n*d + 25. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5*r - 865, -2*s - r + 485 - 142 = 0. Calculate the remainder when s is divided by 95.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4354\/(-2562) - (-2)\/3 - -1. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37)\/((-7400)\/(-1280)))\/((-2)\/(-5)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a factor of 596976074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-105))\/((-111)\/(-370))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from vvmmbvvvvmbvvmmv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 53.2. Which is the nearest to -1? (a) -0.1 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7822, 15740, 28938, 47416, 71174?\n\"Answer: 2640*u**2 - 2*u + 5184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -31 (b) -3\/4 (c) -4 (d) 6 (e) -1\/98\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324059 and 4193?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + p + 215. Let j(k) = 5*k + 87. Let s be j(-8). Let f = p + s. Solve f*b = -2 - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 36.0000029. Round p to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1356 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*h**2*o**3 + 500*a**2*h**2*o**2 + 160*a*h**2*o - a*h*o**3 wrt a.\nAnswer: -2*h**2*o**3 + 1000*h**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) -3\/4 (c) -1 (d) -23\/4 (e) 0.05 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -27, 4.\nAnswer: -27, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - -0.7.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*i + 15, -3*i + 69 - 60 = 0. Let h(v) be the first derivative of z*v + 5\/3*v**3 - 22 - 7\/15*v**5 + 1\/3*v**2 + 1\/2*v**4. Factor h(s).\nAnswer: -s*(s - 2)*(s + 1)*(7*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235432802?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -806 (b) -833\/6 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*x - 260010, -2*x + 259975 = -2*w + 7*w. Round x to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37380774 - -8387.\nAnswer: 37389161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6167968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 4:39 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*(sqrt(320) + sqrt(320)*-1)*-3*3)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2 - 144*z - 2234. Let i(x) = 7*x**2 + 298*x + 4469. Let a(t) = 6*i(t) + 11*m(t). Let a(j) = 0. Calculate j.\nAnswer: -10, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 9607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/3)\/y*y)\/y*y**10)**(32\/7)\/((y\/y**(-2\/5))**(-46))**42 assuming y is positive.\nAnswer: y**(41212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-2)*3\/90?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(22\/5)*y**(-10)\/y assuming y is positive.\nAnswer: y**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-23)\/(-138))\/((-1)\/2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 7*f**2 + 6*f - 15. What is s(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.2 - -12. Which is the third smallest value? (a) 2\/9 (b) q (c) -4 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 7*d**2 - 2*d + 6. What is h(-5)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/13)*n\/n**(2\/15)*(n**0)**(-42))\/(((n\/n**(5\/3))\/n)\/(n*n\/n**(-6))*(n*n*n**2\/n*n)\/(n*n*n**(-5)\/n)) assuming n is positive.\nAnswer: n**(524\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-213292)\/80)\/(1\/(4\/(-2452))). Let b = p - -2\/3065. What is the common denominator of b and 133\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2588 = 78*n + 1780 for n.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 3*k - 3*v, v + 12 = -k + 2. List the prime factors of 3 + -1 + 0 - k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - 5)*(0 + (3 - 2)). Factor -1\/4*i**4 + 1\/4*i**z - 1\/4*i + 0 + 1\/4*i**3.\nAnswer: -i*(i - 1)**2*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 105, -12962?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/13 - 198722*p\/13 + 596148\/13 = 0. What is p?\nAnswer: 3, 99358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*-1*sqrt(117) - 6*1*sqrt(117))*-2)\/((-5*(sqrt(81) - sqrt(81)*-2) + sqrt(81) - sqrt(81)) + 2*sqrt(81)*2 + sqrt(81)))**2.\nAnswer: 637\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*g, 0 = -5*n + 4*n + 4*g + 1098. What are the prime factors of n?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3460, -3415, -3382, -3367, -3376, -3415, -3490, -3607?\nAnswer: -3772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n*n**(2\/7))\/n))**(2\/37)*n**(2\/9)*n**(-2)\/n)\/((n**(-2\/5)\/n)**(-11\/2)*n\/(n\/n**(-2))*n**(-2\/23)*n) assuming n is positive.\nAnswer: n**(-4985021\/536130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72.1 - 73. Let b = -0.1 + m. Let q be 10\/4*8\/70. Sort 2\/9, 2\/5, b, q in increasing order.\nAnswer: b, 2\/9, q, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4635*x**5 - 311*x**2 + 3 wrt x?\nAnswer: 278100*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 3 + 3. Suppose -4*p - 218 - 1695 = -3*b, c*b - 1247 = -3*p. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 71*b**2 - 7*b**5 + 20*b**4 + 5*b**5 + 68*b**2 + (2*b**3 - 4*b**2 + 4*b**2)*(b**2 - b**2 + 2*b**2) + 5*b**5 - 9*b**5 + b**5.\nAnswer: -b**5 + 20*b**4 - 3*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - i + 2. Suppose 3*x + 10 = -2*x. Let v be n(x). Calculate the greatest common divisor of 12 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = 4*l + 77 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.45059ml to litres.\nAnswer: 0.01645059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = -23*b + 144. Solve v = -b*w + 5, 2*v - 1 = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqi. What is prob of sequence ii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4194 rounded to two dps?\nAnswer: -5.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.92 - -14. Put -0.5, 3, g in increasing order.\nAnswer: -0.5, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2482 + -2487. Sort 0.01, -1, m, 5, 8.\nAnswer: m, -1, 0.01, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllzzzlzlzlvlzzz. Give prob of picking 2 l.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**3 + d**2 + 20*d + 41. Calculate p(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 4*d + 0*d)*(d**2 + 0*d**2 - 3*d**2) - 3*d**3 + 2 - 2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102 and 14144?\nAnswer: 42432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2147*m**2*s**3 - m**2 + 3*m*s**2 + 62*m - 2*s**3 wrt s?\nAnswer: 12882*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 19*c. Let z be h(-18). Let w = -77 - -80. Solve -p - 3*p + 4*g = -28, w*p - 2*g - z = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*sqrt(13) + 1)**2.\nAnswer: 16*sqrt(13) + 418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -185481389000 to the nearest 1000000.\nAnswer: -185481000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118896105 divided by 7926407.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 112 = -284. Let o be (-4)\/14 - h\/315. What is the smallest value in o, 5, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -972 = -13*r + 10*r + 3*m, 3*m = -3*r + 966. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let o(n) = 4*n**2 + 5*n - 13. What is the remainder when o(3) is divided by l(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*v**3 - 74*v**3 - 1126*v**2 + 150*v**3 + 1126*v**2.\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - i = i + 430, 5*u - 2*i = 1063. Let w = 115 - 239. Let z = w + u. What are the prime factors of z?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36912 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 386936 divided by 96734.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-5))\/((-6)\/285). Suppose -385 + 7225 = 90*l. Calculate the greatest common factor of f and l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-225)\/(-5) + 2\/(-2). Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1106 rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 549 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/16*40\/6. Calculate the greatest common divisor of g and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 3*r + 4. Let x(l) = 2*l**2 + 29*l + 30. Calculate the lowest common multiple of m(-4) and x(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(119)*-1 + (sqrt(119) - (1*sqrt(119) - sqrt(119)) - sqrt(119))*6)\/(5*(-2*sqrt(1008) + sqrt(1008))*2).\nAnswer: -sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1609160726.\nAnswer: 2, 804580363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f**2 - 3*f - 6. Let n be u(-4). Let h = -95 + n. Let m = h - 12. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11448 (base 11) to base 13\nAnswer: 768b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -11*p**2 - 39*p - 18 = 0.\nAnswer: -3, -6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 130903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 n, and 1 s when three letters picked without replacement from xsaxnxxsshh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*q - 152*q + 738 = 296 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 0 - (18 - 15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -p - 4*k, p = 4*k + 47 + 73. What is the remainder when p is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000206 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -12*f - 46. Let s(a) = -8*a - 30. Let v(d) = -8*s(d) + 5*t(d). Let c = 88 + -55. What is the remainder when c is divided by v(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26 from -44134618.\nAnswer: -44134592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/14*7\/2. Suppose -b*u + 16 = -0*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -787 - -785. Sort -4, v, 6.\nAnswer: -4, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -345*v**3 + 248*v**3 - 1034*v**3 + (v + 0*v + 0*v)*(-v**2 - v + v).\nAnswer: -1132*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/11*y**2 - 36\/11*y - 38\/11 = 0. Calculate y.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {m: 2, p: 1, g: 3, r: 5, a: 8}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1217 + -1217. What is the closest to -149 in c, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -664 + 668. Let k(s) be the second derivative of s**5\/20 - s**4\/4 - s**3\/3 - 3*s**2\/2 + 2*s. Calculate k(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -7 - (-17 + 1) - (15 + (76 - 14))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 859.4078m in centimeters?\nAnswer: 85940.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -23. Suppose -5*b = -1 - o. Suppose -3*i - 7 = -2*k - 61, b*i = -k + 63. Calculate the remainder when 59 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -262, -519, -774, -1027, -1278?\n\"Answer: q**2 - 260*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 1. Suppose -4*m = -3*m. Let h = m - -1. Let c(f) = -2*f**2 - 4. Let z(i) = h*b(i) + c(i). Differentiate z(q) with respect to q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0*c - 2, 0 = -2*t + 5*c. Calculate the common denominator of 29 and (t\/(-10))\/((-4)\/166).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, 0.2, -43\/24, 0.1, 189?\nAnswer: -43\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1076 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 1. Let q = 5 + -8. Let l be (-30)\/(-9) - (-2)\/(-6). Let y(w) = -1. Determine l*y(v) + q*r(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30347*x + 149 - 251930*x - 149.\nAnswer: -282277*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1011 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2 - 3*k - 196. Calculate the remainder when p(-10) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4 + 1290*f**3 + 62997*f**2 + 61710*f = 0. What is f?\nAnswer: -374, -55, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 229 = -34*b + 31*b, 90 = 2*g - 2*b. Suppose -3*r + 2*r + 290 = 0. Let y = r - g. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75388 + 75489.0152. Let r = -101 + m. Round r to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -4 - -1)\/(18\/6). Solve k = 2*j + 3*j + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) 187\/5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + sqrt(704)*-1 - ((sqrt(704) - (sqrt(704) - (-2 + sqrt(704) + sqrt(704)) - sqrt(704))) + sqrt(704) + sqrt(704))*2))**2.\nAnswer: 340736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161136?\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(7488) - ((sqrt(7488) - (sqrt(7488) - (-2 + sqrt(7488) - sqrt(7488)))) + 2)) + 1 + -5*sqrt(7488)*-2*-2 + -5)**2.\nAnswer: 7296*sqrt(13) + 2703232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*2 + -2 + 6. Suppose -y*j = -3 - 7. Solve j*u - 1 = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 0)*3*2\/1. Suppose -3*d + q*n + 47 = n, 0 = -d - 5*n - 11. Let b be 76\/2 + 2\/(-1). What is the highest common factor of d and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140 (base 5) in base 7?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 9\/50*x**6 + 0*x**3 + 0*x - 1\/50*x**5 - 32*x**2 + 9\/175*x**7 - 1\/10*x**4 + 0. Solve q(w) = 0 for w.\nAnswer: -2, -1\/3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 40091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -3)\/4 + 276\/12. Suppose 5*u - 12 = k, u - 4*k = 5*u - m. Solve -r = -u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3801\/20 + 186. Calculate the common denominator of 9\/16 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -329*z - 1244. What is the thousands digit of h(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*r - 1305 = -120*r + 25*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 304 + -195. What is the remainder when u is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*w = 2003 - 2105 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18553900 rounded to the nearest one hundred thousand?\nAnswer: 18600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 55 = q, -q - q - 101 = -3*s. Let a = q - -49. Suppose 7*d = a*u + 8*d - 429, 2*u - 285 = -d. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 204 - 199. Put -5, v, 6 in ascending order.\nAnswer: -5, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28.7 + -19.46. Let b = 9.239339 - a. Round b to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4588 or -4589?\nAnswer: -4588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2. Let q(u) = -2*u + 56. Determine m(q(x)).\nAnswer: 8*x**2 - 448*x + 6272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 p when three letters picked without replacement from {f: 5, z: 2, p: 7}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**2 - 1906. Let i(j) = 32*j. Give y(i(s)).\nAnswer: -7168*s**2 - 1906","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33446 and 224566.\nAnswer: 4778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 22 = -4*k, -4*k + 0*o = 3*o + 3. Let f(i) = -50 + 52 - i - k*i. Let z be f(-2). Solve -5*c + x = z, -3*c + 2*c - 4*x + 19 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 + 17*y**2 - 38*y + 13. Let w be g(5). Which is the second smallest value? (a) w (b) 22 (c) -4 (d) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**4\/42 - 76*w**3\/21 + 1444*w**2\/7 - 3*w - 34. Factor o(d).\nAnswer: 2*(d - 38)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -2\/7 (c) -301 (d) -1 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 3*u**2 - 4*u + 2. Let s be n(-4). Suppose 38*j = 49*j - 66. Solve -4*w - j = -s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - ((-14 - -12) + 3)) + 10 + -14 - -91\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.25 - 1.189. What is x rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/3)\/(6\/(-3)) - -1. Suppose -12 = 3*l - 0*l, -3*m - 4 = 4*l. Which is the biggest value? (a) m (b) -9 (c) y (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 55 = 13. Let s be (-2)\/4 + c\/12. Let g(t) = t + 1. Let z be g(3). Which is smaller: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3*s = 100, 0 = -3*a - 2996*s + 3013*s - 193 for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1790336531 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = 4*n - 19. Let s = 7 - n. What is the remainder when 15 is divided by (2 + -1)\/(7\/s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104 - -103. Let d be w - (-3)\/(-3)*-23. What is the highest common factor of 22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)\/sqrt(7) + 0)*4)**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2560.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7364*j + 29776 = 7380*j. List the prime factors of j.\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 21*a + 56. Is 5 a factor of x(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2626 in 0.5, 16, 2, 3, -1\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 0*r - 5*r + 4*r - 5*r + 0*r - 2*r - 2*r + 2*r + (-5 + 1 + 3)*(-2*r + 4 - 4) + 2*r - r - 2*r - 4 - r + 4)*(-176 + 248 - 56 - 119).\nAnswer: 515*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o - 90. Does 2 divide x(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1049\/5 - 7333\/35. Suppose -g = -2*y + 8, -2*g = 2*y + y - 12. Which is bigger: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1215)\/75 - (-8)\/(-10). Let j = k - -19. What is the least common multiple of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15678704 divided by -3\nAnswer: -15678704\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -12 - 0, 0 = -i + 2*d - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*o + 1. What is the highest common factor of 6 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -44, 4, -8, 42, 23\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7 (b) -1\/5 (c) 269 (d) 2\/817 (e) -5 (f) -4 (g) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7 (b) 5\/9 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/(2\/(-20))*1*(-105)\/(-56)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**2\/2 + j + 15. Let g(b) = -2*b - 1. Suppose -5 = 2*q - 1. Give q*g(u) - 3*d(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300 take away -0.03?\nAnswer: -1299.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-40)\/2 + (355 - -33889)?\nAnswer: 2, 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -180*a + 105*a - 4*a**2 + 3*a**2 to n + z*a + f*a**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 0 - (1 + (-350)\/85)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2666 - 541*o + 2670 - 1669*o - 5335 to the form k*o + m and give k.\nAnswer: -2210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 e, 1 l, and 1 k when four letters picked without replacement from hhlhklkhhhhhhhhe.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 5*h - 43, -o - 16*h = 19*h + 98 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -16 + -14 + 8 + 0 + 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 270039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -12*h + v - 20, 5*v = -5*h + 55. Suppose 0 = h*c - 116 + 80. Sort -8, c, 0.5, 3 in decreasing order.\nAnswer: c, 3, 0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 10 = 4*j - g, 5 = -3*j - g. Let c = -3 - -3.2. What is the third biggest value in c, -1\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3376 + n**3 + 6663 - 3287.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 1. Let s = -834.1 - -907. Let b = s - 73. What is the smallest value in d, -2, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -962888*t - 10591770. What is s(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-6 + -2 + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 - 3. Let i(u) = 3*u**2 - 6. Determine 2*i(m) - 5*x(m).\nAnswer: -4*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134766?\nAnswer: 2, 3, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 13*s**2 - 84*s + 2535. Determine r(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 12:11 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-140)\/(-75))\/((-39)\/30 + 1) and -29\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246 divided by -3\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1290, 10255, 34592, 81987, 160126, 276695, 439380?\nAnswer: 655867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 987282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6094 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*t - 9 + 95 = -520 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -142*s**4 + 10*s - 10*s + (-2*s**4 - s**4 + 0*s**4)*(4 - 3 + 1) + 4*s**4 + 0*s**4 - 3*s**4.\nAnswer: -147*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57.05 + -0.95. Let c = w + 71. Put -1, 2, -3\/2, c in decreasing order.\nAnswer: c, 2, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 42 and 55.4542.\nAnswer: 97.4542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - 57. Let d be ((-70)\/b)\/7*4. Solve 4*n + 2 - d = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 3) in base 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -137606 + 5?\nAnswer: -137601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 481096919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bekk when four letters picked without replacement from uebkekkk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55973*k**3*l + 10*k**2 - 222*k*l + 21*k - 9*l wrt k?\nAnswer: 335838*k*l + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*m)*(-1 + 2 - 3) - 2*m - m + m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3\/7 - 316*s**2\/7 + 1326*s = 0. What is s?\nAnswer: 0, 39, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3407208?\nAnswer: 2, 3, 7, 17, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-two fifths of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**5 + 130*h**3 - 339*h**2 - 71*h.\nAnswer: -120*h**2 + 780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 795.076723 rounded to one decimal place?\nAnswer: 795.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147 - 141) + 60 + 0 + 3 + 24 + -34?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 64\nAnswer: -5\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 247387515 to the power of 1\/2, to the nearest integer?\nAnswer: 15729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -12, 15, 1, -0.8, -8\/17 in decreasing order.\nAnswer: 15, 1, 4\/5, -8\/17, -0.8, -12","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/156)\/(-15)*19\/((-152)\/(-64))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 15*q**2 + 14*q - 12. Let z be -14*(-4 - (-5 - -2)). Let d be v(z). Let f be (d\/9)\/((-28)\/6). What is the closest to f in 0.1, 5, -1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-3)\/18)\/(4\/(-48)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 292 + -298.02. Let n = t + 0.02. Let g = n - -6.00000002. What is g rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 168, 282, 396?\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + r - 3, 4*r - 5 = 5*c + r. Suppose 22 + 5 = 3*i. Suppose 0 = i*z - 11*z + 14. Solve -5*q + z*t = c*t - 25, 3*t = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5 = 1. Suppose v + i*u = -8, -3*u = -3*v - 0*v + 21. Solve v*w = -3*c - 4 - 4, -2*w = -c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 4 + (-506)\/44?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 2 + 2. Let m(s) = -12*s. Let r = -463 - -607. Let t = -141 + r. Give t*m(l) + 32*x(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11 + 2.89. Which is bigger: n or -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 4*m**2 + 11*m - 9. Suppose v = 9*s - 4*s + 32, -2*s + 4*v = 20. Give z(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + 365. Suppose p = 8*a - 897. Does 20 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -i + 936, -4*g = 5*i + 946 + 912. Let m = 470 + g. Solve -19 = -m*q - 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29a17 (base 11) in base 14?\nAnswer: -116ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -35. Suppose 0*c - 22 = -11*c. What is the tens digit of ((34 - c)*4)\/(z\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1621, -1568, -1417, -1120, -629, 104, 1127?\n\"Answer: 8*b**3 + b**2 - 6*b - 1624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2*d*d\/(d**6\/d)*(d\/d**(-1\/6))\/d*d*d**(2\/3))**(-40) assuming d is positive.\nAnswer: d**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**3 - 14*a**2 + 62*a - 20. Let f(u) = -5*u**3 - 29*u**2 + 120*u - 38. Let j(g) = -7*b(g) + 4*f(g). Give j(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*g - 66*g + 218*g - 64699 = -242*g for g.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (-4*sqrt(7))**2*-4 + ((sqrt(112)*1)\/sqrt(4))\/(sqrt(4) + sqrt(324)*-1).\nAnswer: -452 - sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 6) in base 16?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1640 - 0.01.\nAnswer: -1640.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 71, 0.3, -36, 2\/9, -32\/5 in descending order.\nAnswer: 71, 0.3, 2\/9, -3, -32\/5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66167481.\nAnswer: 3, 19, 23, 41, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 53733 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 855527\nAnswer: 5\/855527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 8*n**2 + 6*n + 7. Let w(c) = -6*c**3 - c**2 - 2*c - 1. Let k be w(-1). Let i be b(k). Let l = i - -35. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6\/w*w**(-4\/11)\/w)\/(w\/(w\/(w**2\/w)))**49)**(-27\/5) assuming w is positive.\nAnswer: w**(13473\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 12*j**2 + 35. Let h be t(-12). Let v be -1 - 3*(-2 - -1). Suppose -v*p = -h + 3. What is the highest common factor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 c, and 1 d when three letters picked without replacement from {x: 2, c: 2, a: 2, f: 7, d: 4}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 a, and 1 d when four letters picked without replacement from ftdtfdfatfffadd.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33147112 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71478 and 9771168.\nAnswer: 556956576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -82, -5, 7186\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwx when three letters picked without replacement from {q: 1, x: 2, w: 1, s: 2, j: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -7, 0 = -13*x - 75*r + 80*r + 22 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 852 and 10.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1773034 to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**2 - 5*j + 12. Give t(-4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 68292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 9. Suppose d = -2*c + 12, 30 = 5*c + 2*d - d. Let h be f(c). Suppose 0 = 3*l + 4*s + 9, h*s + 4 + 3 = -2*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3016, 4785, 6544, 8287, 10008?\n\"Answer: -z**3 + z**2 + 1773*z + 1243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 25536.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -567, -2\/3, -5, 0.3, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 38*z - 196. Let q be l(32). Let n = -9 + 0. Is (-1671)\/n*(q + 7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2437, 2440, 2453, 2482, 2533, 2612?\nAnswer: 2725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 1300225?\nAnswer: -780135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. Let w be (10\/8)\/(1\/4). Suppose i = d - 2, d - 4 = w*i - d. Solve i*v - z = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/(-12) - (-476)\/16 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from {w: 5, q: 1, y: 3, c: 4, m: 1, f: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**2 - 4*z**2 - 8*z**2 + 30*z**2 - 5*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 31. Put 5, -2, r in descending order.\nAnswer: r, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-1 - 1) + 23\/((-69)\/45))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15761\/62 + -195\/31. Is -260 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1966.4527 rounded to the nearest integer?\nAnswer: 1966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 16464 and -4\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3315*a + 496. Let f(n) = -3314*n - 585. Let g(t) = -4*f(t) - 3*j(t). What is the first derivative of g(k) wrt k?\nAnswer: 3311","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-5 - (9 - 4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 53.7?\nAnswer: 429.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34453, -138356, -311705, -554500, -866741, -1248428, -1699561?\n\"Answer: -34723*f**2 + 266*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1714*c*p**3 + 2*c*p - c + 72*p**2 wrt p.\nAnswer: -10284*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3380.101 millennia?\nAnswer: 33801.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*u**2 - 5 - 5*u**2 + 3)*(16*u - 166*u + 53*u) as h + k*u + c*u**2 + x*u**3 and give k.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 + 2*h**2 + 14*h**2 - 2*h + 5*h - 2*h as q*h + c + z*h**2 and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 31*i - 52 = 28*i, 3*z = -12*i + 21. Calculate the remainder when 87 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*t - 31 = 0, 15*t - 32 = -3*k + 19*t. Put k, 1, 3, 7 in ascending order.\nAnswer: 1, 3, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 23. Let c be t(-14). Suppose -2*v - 3*j - j - 1172 = 0, 0 = 3*v - c*j + 1780. What is v rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359 = -4*l - k, 4*l + k + 371 = -4*k. Let h = 2126 - l. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3827 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 108?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 2*o**2 - 3*o**2)*(-o + 4*o - 4*o) + 9*o**3 - 3*o**3 + 0*o**3 - 3*o**3 - 8 + 8.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 5)*(2 + 1 - 6)*(5*b + 40 - 40).\nAnswer: -75*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 10 - 31)*(-n**2 + 3*n - 3*n) - 8*n**2 - 28*n**2 - 28*n**2 as j + z*n + c*n**2 and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7899*c - 79022. Give p(-10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122026, -121696, -121352, -120994, -120622?\nAnswer: -120236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + (4 + -3)\/(-1). Suppose 3*n = 3*x - 3, -d*n + 2 - 12 = 0. Put x, 4, 2 in increasing order.\nAnswer: x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3281181 - 5?\nAnswer: 3281177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 258 = 8*y - 306, 3*g = -7*y - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.124 - -0.124. Which is the third smallest value? (a) j (b) 4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16206610 + -0.3107.\nAnswer: 16206609.6893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 37389312, 1\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70574619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 36 (c) -2 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338697 is divided by 312?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/14 - (-21)\/70. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - x + 44 = -45, 4*x = 5*y - 229. What is the greatest common divisor of 18 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -504319, -44, 3 in decreasing order.\nAnswer: 3, -44, -504319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.028 and -0.07.\nAnswer: -0.00196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -4, 2059, 20, -28 in descending order.\nAnswer: 2059, 20, 4, 2, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 3:37 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 69874, 66, -3?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -23.7. Let u be (-44)\/10 - 6\/(-15). Which is the nearest to -3\/4? (a) u (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Let r be -3*(-6)\/9 - -6. Let g(q) = 5*q**3 - 8*q**2 + 3*q + 3. Let z(a) = -2*a**3 + 3*a**2 - a - 1. Let p(i) = r*z(i) + 3*g(i). Calculate p(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -24. Is -14 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 223 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21a (base 13) to base 9\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 < -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(152) + -2*sqrt(152)*-2 - sqrt(152))\/((sqrt(40)*2)\/sqrt(5)) - (2 + 6*(sqrt(76) + 0)**2)).\nAnswer: -8*sqrt(19) + 1832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 660.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 9*k - 2 + 0*k)*(-2*k + 5 - 5)*(4*k**3 - 4*k**3 - 4*k**3).\nAnswer: 72*k**5 + 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - (0 - 2)) + 8. Suppose -o*d + 3*d + 30 = 0. What is the smallest common multiple of 16 and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.22? (a) 5 (b) -0.85 (c) 20 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - 0.1777?\nAnswer: -15.1777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a day in minutes?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 8. Let g be x(-6). Let k be g\/11 + (-7990)\/22 + 3. Let c = -70 + k. Round c to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -19 - 6*s - 8*s + 18. Let a be q(4). Does 18 divide a\/(-3) + 3 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvdw when four letters picked without replacement from zwhdvwdzdhwwwhw?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 8*l - 57 + l + 53. Let v(z) = 35*z - 15. Calculate -15*t(d) + 4*v(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + -7 - (0 - 5). Let u = k + -10. Let t = 29 + u. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 4) + (-26 - -35). Let t(w) = 34*w + 8. Let n be t(7). What is the greatest common divisor of b and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813454635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110 (base 4) in base 11?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -1 + (6 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/15)*b*(b**(-7)\/b*b*b)\/b)**(13\/2) assuming b is positive.\nAnswer: b**(-949\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24, 4\/9, 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 26496*c**2 - 175456500*c - 702250000.\nAnswer: -(c - 13250)**2*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 739\/133 - 130\/19. Let z = p + 1. What is the closest to -1 in z, -2\/15, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4059 + 4061. Solve b*c + 14 = 4*r, -3*c = c + 5*r - 24 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3747 divided by -158\nAnswer: 3747\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 8921.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y*y**(-3\/2)*y*y*y))\/y)\/y)\/y*y**(-16))**32 assuming y is positive.\nAnswer: y**(-656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) -0.068 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**4\/24 - 2*w**3\/3 - 2*w**2. Let i be h(-6). Let v = -4 - i. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2180 + 2198. What is the smallest common multiple of w and 3080?\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -162 (base 11) to base 4.\nAnswer: -2331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggyyygyyggyggygygyg. Give prob of sequence gy.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -309*a + 307*a - 156. Let q be 4 + a\/18 - (-118)\/3. What is the highest common factor of 208 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44604 and 30.\nAnswer: 223020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-130)\/20 - -5)\/(6\/32). List the prime factors of (k\/12)\/((-7167)\/1791 - -4).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n + 52*n + 4*c = -704, -2*n = -5*n - c - 68 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkjj when four letters picked without replacement from kfkjikfjikf?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -11. Let u be i\/12 + (-4)\/(-6). What is the derivative of -5*q - u - q**2 + q + 4*q wrt q?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39104 and 1976.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30651547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 2*s + 27. Give w(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/(-2849) + (38520\/(-1998))\/(-2)?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2858 to two decimal places.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 74*p - 208 = 89*p + 929, 5*z + 3*p = -9 - 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/4 - 249*h**4\/2 + 52821*h**3\/4 + 13330*h**2 = 0. What is h?\nAnswer: -1, 0, 155, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1463?\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y = 3*r + 69, -5*y - 4*r + 250 = 0. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 162808194 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = w - 6 - 13, -4 = 4*s + 4*w. Let r be (-33 + 0)*34\/6. What are the prime factors of s\/15 + r\/(-3)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 17) + (5 - 2 - 6 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*h - 34 = 2*d, 2*h = -d + 10. Let i(m) = m**2 - 14*m + 6. Let c be i(d). Suppose -2*a + 3*b = -112, -b + c*b + 20 = 0. Is 25 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(20) + 2*sqrt(720) + sqrt(5).\nAnswer: 23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-255)\/2016 - 6*(-5)\/315. Let b = -1 - -1. Is p > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 38*l**3 + 3 + 94*l**3 - 111198*l + 111196*l. Give w(1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 64. Let u be (40\/(-15)*n)\/((-4)\/126). What is the highest common factor of 56 and u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 42. Sort r, -4, 1 in descending order.\nAnswer: 1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -1\/4*v**4 + 1 + v + 0*v**2 + 4\/3*v**3. Let c be l(4). Solve -14 - c = -5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 145266177.\nAnswer: 726330885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -14. Let h(l) = 2*l + 32. What are the prime factors of h(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 34 = -0*s - 5*f - 17 + 30, -18*f = -21*f + 12 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 3, 2\/9, 0.3, 20?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5163\/2 - -2535. Let p be (-2)\/3 - (196\/(-21))\/14. Find the common denominator of -87*(12\/90 - p) and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1520 = 3*u + 2*u. Let q be u\/(-14) + 2\/7. Suppose 0 = 4*d - q - 30. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 1:47 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 594 - 594.8. Put j, -1, 3, 0.2 in ascending order.\nAnswer: -1, j, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -10*d - 4. Let u = 44 - 29. Suppose u*r - 20*r - 20 = 0. Is y(r) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 66 - 29 + 119)*(-34*f - 11*f + f).\nAnswer: -6820*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*u + 2*u + 24, 0 = 4*z + 2*u - 48. Suppose -4*b + z = -4*t, 6*b - 3 = 3*b - 3*t. What is the greatest common divisor of b and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 9363333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*b**2 + 8*b**2 - 158*b**2 + 1 - 1.\nAnswer: -358*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 7192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -222 + 292. Let i(b) = b**3 + b**2 + 24. What is the remainder when v is divided by i(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((20\/16)\/((-2)\/(-4))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 v, and 1 t when four letters picked without replacement from {d: 4, t: 11, v: 4}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 8. Suppose 5*d + 5 = -k*n, -3*d - 1 = n + 8. Solve -4*c + 20 = n*j, j = 3*c + c - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 380 - -5?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-3\/5))\/(c*c\/(c*c\/c**(4\/5)))*((c**(2\/5)\/c)\/c)**(-8))\/((c**2)**29)**(1\/24) assuming c is positive.\nAnswer: c**(599\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-32)\/(-80))\/(3\/30). Let w be 0 + 1 - (-2 + 1). Solve w*i = c*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5874 - 0.0874. What is the second biggest value in -30, i, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5896260 divided by 96660\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - 184. Let t = -137.064 - n. Is t at most -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341.0177 rounded to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 208*u**2 - 47632*u + 2. Calculate f(229).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + (-7210)\/315 - 19.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 345 + -349. Let m(d) = -d**2 - 12*d - 19. Let g be m(f). Solve 4*b = 5*x - g, -7 = b + 2*b - x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -626 divided by 2.\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.105808125 to three dps.\nAnswer: -0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 410612 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/260 and 75\/104?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66014 or 66009?\nAnswer: 66009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222067 is divided by 4443.\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -4*k + 2*k + 1, 3*b = 2*k - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3977372 millilitres to litres.\nAnswer: 0.0003977372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c + 3*g - 476, 5*g = 4*c - 403. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from akykykyaykkyyykyykk?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 3820?\nAnswer: 26740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -85123322, -85123322, -85123324, -85123328, -85123334, -85123342, -85123352?\n\"Answer: -y**2 + 3*y - 85123324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**3 + 6*g**3 - 2*g**5 + (2*g**2 - 2*g**2 - 3*g**2)*(11 - 11 - 12*g**3).\nAnswer: 34*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c7d - 6?\nAnswer: c77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5293943 or -5293942?\nAnswer: -5293942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(2) - (sqrt(2) - sqrt(20)\/(sqrt(10) - sqrt(10)*-1 - sqrt(10)))) + 2.\nAnswer: 2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 13*x - 1. Let q be m(1). Let v be ((-1)\/5)\/(q\/20). What is the closest to 1 in 1, 0.5, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 21 = -3*u, 4*u = 4*h + 5*u + 17 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + (-3 - 3\/(-1)). Suppose -3*d + 14 = l, 0 = d - 2*l + 3*l - u. Solve -t - 4 = t - 3*o, -o - 12 = -d*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 257855673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 111.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p = 51*p - 115 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**0*l)\/l)\/l*l)**(-5\/7)*(l\/((((l**(1\/3)\/l)\/l)\/l)\/l))**48)\/((l**(2\/9))**0\/(l**2\/(l\/(l\/(l\/(l**(-2\/21)*l)*l))))) assuming l is positive.\nAnswer: l**(4723\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 12 + 4 - 2*w**3 + 3*w**3 + w - 11*w**2. Let t be r(11). Let m = -17 + t. What is the highest common factor of 40 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.174 - 0.126. Which is the second smallest value? (a) -5 (b) -2\/7 (c) k (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157 + -2 + -13 + (41 - 2 - 43)\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6058.917 tonnes to kilograms.\nAnswer: 6058917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:18 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-4)*28\/(-315). Which is the biggest value? (a) i (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -28*x. Let k(u) = -7*u + 16868. Determine k(o(l)).\nAnswer: 196*l + 16868","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332261*r - 332327*r - 38 = -302 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(150)\/sqrt(3) - (sqrt(2) + sqrt(54)\/sqrt(3))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 10. Let y be d(-5). Suppose 2*h + 3 = 21. Let a = 22 + h. Solve -4*p - 3*t = a, y*p = -4*t - 47 + 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 333 + 1da0?\nAnswer: 22d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*c + c - 9, 4*c = -3*h + 9. Let s be 0 - (2 - (1 - -1)). Let k(t) = 3 - t + s + 0. Calculate k(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 - 0 - 4\/16. Let j(t) be the second derivative of t + 1\/6*t**3 + t**2 + 0 - i*t**4. Factor j(u).\nAnswer: -(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 + 94. Suppose -w = -4*u + 2*k - 7, 0 = -4*u - 3*k + 1. Suppose r = -4*r + 10. Solve 4*y + r*h = -2 + 24, -20 = -u*h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/35193 and -95\/70386?\nAnswer: 70386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 314536.39 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*l - 13, -5*o + 6 = -2*l + 1. Let x(w) = -846*w + 1693. Let v be x(2). Put -10, o, 2, v in decreasing order.\nAnswer: o, 2, v, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Let o(w) be the second derivative of 0 + 0*w**3 + 0*w**2 + 1\/21*w**7 + 4\/15*w**6 + 1\/2*w**5 + 18*w + 1\/3*w**4. Let o(b) = 0. Calculate b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 6*r + 5. Let t be y(-6). Suppose -t*o - 3 = -6*o. Solve 0 = 5*q - 5*l + 10, -o*q - 4*l + 3 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0.2. Let r(b) = -59*b + 881. Let o be r(15). What is the closest to 2 in -0.5, o, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2496)\/52*((-7)\/(-28))\/((-2)\/(-10)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -7. Suppose -4*q = -j - 0 + 8, 2*j + 4*q - 16 = p. Suppose -3*k + 62 = j. What is the remainder when 69 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 2:41 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -127, -111, -85, -49, -3, 53?\n\"Answer: 5*r**2 + r - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 3:19 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 2)*(2*l - 4*l + 0*l) - 2*l + 2*l + l)*(-4*l**2 + 0 + 0).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/11)\/z)**(2\/11)\/(z**(-3\/14))**49 assuming z is positive.\nAnswer: z**(2489\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 67 + -321601?\nAnswer: -321523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, 5, 13, 9, -19, -83, -195, -367?\n\"Answer: -2*x**3 + 12*x**2 - 14*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - j**2 - 4*j - 4. Let t(v) = 2*v**3 - 3*v**2 - 10*v - 10. Let f(a) = -7*p(a) + 3*t(a). Give f(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/7 + 33*g**3\/7 - 236*g**2\/7 + 480*g\/7.\nAnswer: -g*(g - 24)*(g - 5)*(g - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3456 = -3*i, 2*i - 4*i + 4*d + 2308 = 0. Suppose i = 4*w + j - 832, -w + j = -495. Is w a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 22*r - 30. Let y be i(-20). Suppose 5*w = c + 2003, -3*w - 4*c = -w - y. List the prime factors of w.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8278.3 times -0.059\nAnswer: -488.4197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 17*b + 7. Let r be v(0). Let h(a) be the first derivative of a - r + 4\/3*a**3 + 5\/2*a**2. Factor h(d).\nAnswer: (d + 1)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*x - 44, 6*h = 4*h - 2*x + 14. Find the second derivative of 117*n + 0*n**5 + 9*n**3 - h*n**5 - 9*n**3 - 2*n**2 wrt n.\nAnswer: -200*n**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95461043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 274704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7379.\nAnswer: 47, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(7 + -8 + 3). What is the nearest to 2 in s, -13, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278, 276, 274, 272, 270, 268?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttthtmtmmtttttmtmt. Give prob of picking 3 t.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2214\/(-45))\/((-2)\/10 - 0) is divided by 88?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05302 to three dps.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 5*d + 2*g + 133870 - 133895, 60 = 4*d + 4*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 42. Put 4, -6, -2, k in decreasing order.\nAnswer: 4, -2, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 13. Let p be (16 + -4)*3\/9. Let t = 4 + p. Calculate the remainder when s is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 334*(-5)\/60 + (-1)\/6. Find the common denominator of 2 + (-6 - -7) + j\/9 and -48\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**4 - 216780*t**3 - 12*t**2 + 867120*t = 0 for t.\nAnswer: -2, 0, 2, 72260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2215258 rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 9*l**3 + 5*l**2 + 98. Let v(r) = -2*r. Calculate v(c(o)).\nAnswer: -54*o**2 - 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + (23 + (21 - 37) - -44)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 39*y**3 + 3*y**2 + 5*y - 9. Let d be t(1). Let o be 2160\/(-2) - (3 - 1). Does 12 divide o\/(-15) - d\/285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000096 is divided by 730.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*y + 6 - 272*y - 6.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from mvqtqtftt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -5 - 3) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 25. Let p be k(-28). Suppose 15 = 3*n, p*n + 3438 = 3*z - 0*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*1*(2 + -3). Let k be g + 2 + 4 + 5. Suppose k*b = 5*j - 460, -3*j = -8*j - 2*b + 425. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 362?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3105*f - 3072. What is g(1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43b - 1?\nAnswer: -43c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 241821 + -36964. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 9*z**2 - 2*z - 5. Calculate p(-4).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 5*m + 3. Let h be y(5). Suppose h = -5*f - 12, 2*c = 4*f + 16. Let k be (0 + (-3)\/c)*-20. Calculate the highest common factor of k and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6033938 divided by -4414\nAnswer: 1367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6564.729 decades to millennia.\nAnswer: 65.64729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148 by 299.\nAnswer: 148\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (5 - -10) + (-5 + 14 - -5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 a, and 2 j when four letters picked without replacement from {w: 2, j: 3, p: 1, a: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -125 and -9080.5272982.\nAnswer: -9205.5272982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41895?\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128 + -127. Let d = 0.3 + -0.1. Are x and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7*12\/6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 + -0.07.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**3\/6 + 3*t + 1. Let x(m) be the first derivative of h(m). Calculate x(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllullll. Give prob of sequence ul.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - 4)\/(-1 + 0). Let s be (-11)\/(-4) - z\/(-36). Suppose y = -s*y + 28. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1637, -1640, -1643?\nAnswer: -1646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htltlthhhtllhlttthht. Give prob of picking 2 l.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (73 - 15) + 24\/(-2). Solve 0 = -48*c + l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**3 + 9*g**2 - 9*g + 9. Let q(u) = -u**3 - 4*u**2 + 4*u - 4. Let h(k) = 3*k**2 - 62*k - 17. Let b be h(21). What is b*z(w) + 9*q(w)?\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) 0.5 (b) 5\/6 (c) -10 (d) -83 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s**2 - s**2 + 0*s**2)*(4*s**2 + 7 - 7) - 12*s**4 + 2*s - 16 + 17 + s**4 to c*s + b*s**3 + n + q*s**4 + t*s**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1490 is divided by 47?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7, -7, -3, 5, 17, 33?\n\"Answer: 2*g**2 - 6*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725*m = -215*m - 50268 - 20232 for m.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -20, 0*m + 4*m + 18 = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21032677*t + 46739384 with respect to t.\nAnswer: -21032677","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123.777 - -123.577. Let r be (-8)\/(-6) + 1*-1. Put i, -0.1, r, 3 in decreasing order.\nAnswer: 3, r, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221577 divided by 329?\nAnswer: 3713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t - 16*t - 10*t + (-3 + 3 - 1)*(-3*t + 2*t + 2*t - 1).\nAnswer: -22*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**4\/8 - 178*m**2. Let w be (-3)\/(-1*2\/4). Let z(l) = -w*l + 6*l - 5*l**2. What is o(z(d))?\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(1078)*1 + sqrt(1078))\/((sqrt(99)*2 - sqrt(99))\/sqrt(9)))**2.\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millisecond in microseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**3 - 11*a**3 + 31*a**4 + 14*a**3 + (0 + 0 + a**3)*(a - a + a).\nAnswer: 32*a**4 - 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 6*f**2 + 3*f + 1. Let d be h(7). Let y be 3*-1 - (d - 0). Let s = y + -5. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuoevuooeeoeuv. What is prob of sequence oeu?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 810 = 5*l, 3*f - 4*l = f + 810. Suppose o - 4*m + f = 2*o, 5*m = -20. Let d = o - 7155\/17. Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 p when four letters picked without replacement from pwwwbpwhkpk?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5483383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let t(c) = 4*c + 4. Suppose -3*f + r + 18 = 0, 4*r = -5*f + 9 + 21. Calculate f*o(d) + 2*t(d).\nAnswer: 2*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*q - 0*t - 18, 4*t = 2*q - 18. Solve 8 = -q*i - i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5855 - 0.2855. What is the biggest value in -1, 0.01, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g**3*(g\/(g*(g\/(g*g**(2\/9))*g)\/g))\/(g\/g**(-1\/4)))\/((g**(-2\/3))**12*g**(-1)\/(g\/(g**(-1\/2)*g*g)*g)) assuming g is positive.\nAnswer: g**(269\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -17*n + 2. Let u(f) = 9*f - 1. Let c(o) = -4*m(o) - 7*u(o). Let w = 5 + 2. Is c(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 9) + (-72 - (-155 - -130))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = 13*h + 3*g + 8289, 3*g - 11045 = -4*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 33\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(3\/(-657)*-3). Suppose -55*q + 54*q + a = 0. Solve -53 = -5*g - q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 - 50.03. Let b = p - -0.03. Do 0.4 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67604 (base 8) in base 10?\nAnswer: 28548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o + 2. Let w(x) = -5*x + 2*x**o - 6 - 2*x + 0*x**2 + 0*x. Let a be w(-4). What is the highest common factor of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and (243\/(-12))\/((-21)\/224).\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = j. Let c(k) = k**3 + 4*k**2 + 2. Let v be c(3). Let n = j + v. Calculate the greatest common divisor of 26 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 q when four letters picked without replacement from {k: 10, q: 4}.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6200 by -62.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evrttfv. What is prob of picking 1 e, 1 v, and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 7*q**2 + q + 9. Let h be c(-7). Let k(i) = -3*i - i**h + 0*i - 2 + 8*i. Calculate k(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16036913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 46 = -v + 62, -3*l - 4 = -5*v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*x + 58 = 11, 0 = -5*m + 2*x + 43. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + 4*w**2 - 5*w. Let f(z) = z**3 + z**2. Let r(i) = -9*i**3 + 4*i**2 - 11*i. Let g(a) = -5*f(a) - r(a). Determine -3*g(x) - 7*u(x).\nAnswer: 2*x**3 - x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - 285*h - 14235. Give o(-39).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + j = -20, 2*c + 0*j + 15 = 5*j. Let n be (0 + 7)\/((-1)\/10). Let v be ((-8)\/c)\/(4\/n). What is the greatest common divisor of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 210?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x + 3, x = -5*d + 9. Suppose 4*r - 2*i + 2 = 0, -3*r + 4*i - 7 = d. Which is greater: r or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 19 = 5*n, -13*n - 154 = 2*q + 15*n + 17*n for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1791 and 4284?\nAnswer: 852516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54259345*n**2 + 81228095?\nAnswer: -108518690*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*w**3 + 1054082*w**2 + 565856*w + 48 wrt w?\nAnswer: 18*w + 2108164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 - 3*i**4 + i**3 + (-1 + 3 - 4)*(3*i**4 - 5*i**4 + 4*i**4).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 - 2*x**3 - 4*x**3 - x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010841437234 rounded to 5 dps?\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1. Let f(n) = -n**2 + n - 5. Let j(x) = -f(x) + 2*k(x). Let h be j(0). Sort -2, h, 2 in ascending order.\nAnswer: -2, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -6*k - 3*c + 536, -c = 3. Let g = k + -74. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1424 is divided by 159.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/(2\/(-9)). Suppose 5*l - 6 = -3*j - 17, -4*l = -3*j + 25. Suppose 0 = -z + 5*w - j*w + 21, h*z - 4*w - 57 = 0. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18944176 or -0.1?\nAnswer: -18944176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36802489 to 4 decimal places.\nAnswer: -0.368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 5.6. Let l = f + -2.40022. What is l rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**(-27)*(s**2)**38*((s**(-4\/3))**32)**(-31) assuming s is positive.\nAnswer: s**(4358\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/154)\/(6\/4).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taagapdaa. Give prob of picking 1 g and 1 a.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**4\/3 + 9165*x**3 + 12390840*x**2 - 576298800*x = 0.\nAnswer: -2772, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 3. Let j(p) = -p**2 + 1. Let q(r) = r**3 + 5*r**2 + 6*r + 6. Let c be q(-4). Let l(a) = c*x(a) - 6*j(a). Let w(n) = n**2. Determine w(l(h)).\nAnswer: 64*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 66 = 66. Suppose 3*k + 23 = 5*t - 49, -4*t - 5*k = -28. What is the greatest common factor of h and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -109a + 2110?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3430, 3481, 3562, 3673, 3814?\nAnswer: 3985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/22 and -39\/31664.\nAnswer: 348304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, h: 8, y: 3, i: 2, p: 5}. What is prob of sequence giiy?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 6*g**2 + 431*g - 79. Let s be r(50). What is s rounded to the nearest one thousand?\nAnswer: 161000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a minute in seconds?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*g - 39, 0 = 2*q - 3*q - 3*g. Find the third derivative of -h**2 - 6*h**2 - 11*h**2 + 4*h**2 + q*h**6 wrt h.\nAnswer: 1080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2372*h - 2366*h = -30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124764 is divided by 3465?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -588718, -1177466, -1766216, -2354968, -2943722?\n\"Answer: -p**2 - 588745*p + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 9 + 9)*(-d + 2*d - 4*d) + d - 3*d + d)*(2 - 3 + 2).\nAnswer: -37*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/7 - 9461790*o\/7 - 7460455833675\/7.\nAnswer: -3*(o + 1576965)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/((-16)\/(-4)) - -5. Suppose 5*w + 35 = -k*z, -3*w - 7 = 8. Is 4 a factor of 2 - ((3 - 2) + z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -83 - 38554?\nAnswer: -385d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -858877 or -858843?\nAnswer: -858877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 n when three letters picked without replacement from {j: 5, n: 1, g: 7, s: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**4\/4 - 7*g**3\/6 - 9*g**2\/2 + 2*g. Suppose x - 4*y = -4, -2*x = 2*y + 8 + 10. Is v(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.61, -2\/5, 0, 4\/17, -1\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 23*j**2 - 25*j - 33. What is v(-24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*s = -k + 19, -2*s - 13 = -3*k. Suppose 0 = -5*c, 4*d - 5*c = k*d - 3. Round d to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010101111 - 10?\nAnswer: 11010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -23*o - 591. What is y(-102)?\nAnswer: 1755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-195)\/(-10))*(-27)\/30?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -178, -2.\nAnswer: -178, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 - 12*c**5 - 4*c**3)*(0 + 0 + 1)*(-4 + 0 + 2).\nAnswer: 24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 3641115.32401?\nAnswer: -3641115.32401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 60*o - 124. Determine c(5).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -0.085072\nAnswer: -2.085072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-114)\/(-285))\/(46\/(-10)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10, 3 in increasing order.\nAnswer: -2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-76149)\/(-27) + (-120)\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 3*u - 3*u)*(-641 - 433 + 852)*(0 + u + 0).\nAnswer: -888*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11637, 23159, 34533, 45759, 56837, 67767, 78549?\n\"Answer: -74*g**2 + 11744*g - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -425.4 to the nearest ten.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -98612717 divided by 5719?\nAnswer: -17243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*n + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 + -1 - ((99 - 85) + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 32. Let l(v) = v + 34. Let h be l(z). Solve 0 = j + j + h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 157 + -150. Let z(a) = -7*a**2 - a + 5. Let j(g) = 8*g**2 + g - 6. Calculate f*z(x) + 6*j(x).\nAnswer: -x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19.67932 hours?\nAnswer: 1180.7592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46528+-6.07\nAnswer: 46521.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times -1.351137\nAnswer: 1.4862507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1980033?\nAnswer: 3, 11, 29, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/57? (a) 2 (b) 1\/2 (c) 5 (d) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202 (base 9) to base 2.\nAnswer: -10100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(56\/(-910)) + 2 and -55\/574?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34 or -17?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, w: 5, e: 3, z: 1}. Give prob of sequence ween.\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 - 266244\nAnswer: -266242.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408159579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*v*w**2 - 2*b*v*w - 21*b*v + 82*v - 432*w**2 wrt w.\nAnswer: -2*b*v*w - 2*b*v - 864*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -365*a**4 - 77*a**3 - 88760*a**2.\nAnswer: -8760*a - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3867 + 3846. Which is smaller: 90 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -359100*s*t**3 + 2*s*t**2 + 3280319*t**3 + t**2 wrt s.\nAnswer: -359100*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/429 and 87\/130?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -496*z - 4393. Does 5 divide i(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 68, -4, 201, -211.\nAnswer: -211, -4, 2, 68, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43 - 186?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4336026 (base 7) to base 11\nAnswer: 33246a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(76) + 2 - sqrt(76)) + sqrt(19) + (sqrt(19) - -3*sqrt(19))*5) + (2*sqrt(1900)*5 - (sqrt(1900)*-2)**2*-3) + 4.\nAnswer: 121*sqrt(19) + 22806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + o**2 - o**4 + (0*o**3 - 3*o**3 + o**3)*(-3*o + 2*o + 0*o) + 2*o**4 - o**4 + 0*o**4 - 6*o**4 + 11 - 11.\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 375567 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195, -2527, -4849, -7155, -9439, -11695, -13917, -16099?\nAnswer: -18235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a**3 + a - 288. Let n(u) = 8*u**3 - u + 289. Let x(l) = -5*n(l) - 4*v(l). Find the first derivative of x(h) wrt h.\nAnswer: -48*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.82098 - 3.82098. Let k = -3 - 4. Which is the nearest to 1? (a) -0.8 (b) k (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144403723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -2. Suppose 2*p = 2*c + 50, 5 + 11 = p + 2*c. Let d be p - (r - 0) - 4. What is the highest common divisor of 30 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 27636 = -5*b - 7*b. Let f = 389205\/169 + b. Is f greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 96\/(-36)*9\/(-4). What is the highest common divisor of d and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 38.79. Let u = n + 13.21. Let x = -8 + u. Put -5, 1, x in decreasing order.\nAnswer: x, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -166, 10, 3, 5\/7, 2 in descending order.\nAnswer: 10, 3, 2, 5\/7, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 48 = -b. Let z = -10 - -15. Suppose -8 = -3*j + 2*j. Solve z*a = -5*i - 5, 1 = 5*a + b*i + j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29318 divided by 1?\nAnswer: -29318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-172*a + 172*a - 16*a**2)*(-6 + 4 + 1).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 89789 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1726485?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9, 269, 11 in decreasing order.\nAnswer: 269, 11, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -10*l + 233. Let b be h(23). Put 9, -7, b in ascending order.\nAnswer: -7, b, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007466249 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 45 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-6) - 982\/(-36) - (-752)\/3384. Calculate the greatest common factor of 20804 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -294 by 12.\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2\/5 (c) -1 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + 5*n + 12 - 27*n + 0*n as j + u*n and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -248417*j**2 - 2*j**4 + 248417*j**2 - 4 - 50*j + (1 - 2 + 2)*(-j**4 - 2*j**4 + 0*j**4).\nAnswer: -5*j**4 - 50*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5113 - -7.445\nAnswer: 5120.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -13*b + 2333. Is c(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4485*b**4 - 6846.\nAnswer: 17940*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-6)*k*k*k\/k**2*k*k)\/(k\/(k\/k**(2\/3))*k**(2\/13)\/k) assuming k is positive.\nAnswer: k**(-71\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-29))\/(l**(-4\/7)\/l) assuming l is positive.\nAnswer: l**(228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2. Let n(q) be the first derivative of -2777*q**2\/2 + 3742. What is n(c(d))?\nAnswer: 2777*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 0.2, -0.2, -3\/4, -4.\nAnswer: -4, -3\/4, -0.2, 0.2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 16*j**5\/5 - 56*j**4 + 294*j**3 + 4688*j. Solve y(i) = 0.\nAnswer: 0, 21\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**3 + 377045*n**2 - 2484833 wrt n?\nAnswer: -3*n**2 + 754090*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -762*p + 901*p + 77818 + 42837 = 2184*p for p.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14122014, -28244019, -42366024?\n\"Answer: -14122005*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12206889 is divided by 87.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*k - 13. Let l(v) = -6*v + 2*v + k*v. Let u(h) = 248*h**2 - 224*h + 222*h - 127*h**2 - 106*h**2. Determine u(l(y)).\nAnswer: 15*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + -1 + sqrt(171) + 0.\nAnswer: 5 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 7. What is the lowest common multiple of q(0) and (78 - 815)*11\/(-121)?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32049, 39150, 46251, 53352, 60453, 67554?\nAnswer: 74655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 6*u - 494. Let t be z(-23). Solve -39*w = -t - 100 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -1 + 3 + 28. Let o(m) = -1 + 4 - r*m + 27*m. What are the prime factors of o(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**4\/4 + 7*c**3\/3 + 7*c**2\/2 + 9*c - 2. Let v be d(-6). Let a be 2 - -15*(-4)\/33. What is the biggest value in v, a, 4\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3872 = -141*l + 488 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 12*u + 88. Give v(-10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)\/p)\/(p*p*p**(-8)) assuming p is positive.\nAnswer: p**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 8555 = n, 111 = -2*n + 101. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7\/2*f**3 - 8*f**2 - 11\/2*f - 1 = 0. What is f?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j - 3*j + 0*j)*(-4*j - 2*j + 4*j)*(-67 + 57 + 97) to the form s*j**2 + w*j + v and give s.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10248\/(-4697))\/(6\/(-22))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 equal to -519\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 52.8. Let s = 0.7 + 0.3. What is the biggest value in w, s, 2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q - 33. Let p(l) = -5*l + 247. Suppose 0 = 2*j - g - 90, 2*j - 4*j = -4*g - 84. Let d be p(j). What is b(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1071247?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-4)\/5)\/(6\/(-5)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*n + 2*n. Let p = -38 + 93. Suppose n*a - 8*a - p = 0. Calculate the greatest common divisor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 + 3*a**2 + 3*a + 1. Let h(l) = 3*l**3 + 6*l**2 + 5*l + 3. Let j(m) = -3*h(m) + 5*x(m). Determine j(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*l - 429. Suppose -2*v + q + l = 0, 5*q + 0 = v - 76. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -131, -154, -193, -242, -295?\n\"Answer: v**3 - 14*v**2 + 12*v - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -10*n**2 + 9. Let b(w) = w**2 - 1. Let q be ((-8)\/(-5))\/(2\/(-5)). Let m be 35\/(-7)*1*q\/(-10). Determine m*p(o) - 18*b(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2. Let z(j) = -2 + 6998*j**2 - 7014*j**2 + 2. Give w(z(p)).\nAnswer: -256*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.14309 and 5.\nAnswer: -20.71545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*d**3 + 55*d**3 - 90*d**3.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000071276084 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 3, 1, 23 in descending order.\nAnswer: 23, 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-5)*5\/8. Let q be (-6)\/3*(-3 - (-124)\/40). Which is the closest to q? (a) -0.1 (b) r (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180298847 and 1843.\nAnswer: 1843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 6*k**2 - 48*k - 96.\nAnswer: 3*(k - 4)*(k + 2)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4)*p)\/p)\/p**4*(((p**8*p*p*p)\/p)\/p*p)\/p*p*p**7*(p\/p**(1\/4))**(14\/15)*(p\/p**(-2\/5))**(-20) assuming p is positive.\nAnswer: p**(-183\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11573?\nAnswer: 71, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31574 - -31590. What is the lowest common multiple of h and 3200?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/5*c**4 + 19 - 204\/5*c + 122\/5*c**2 - 12\/5*c**3 = 0. What is c?\nAnswer: -19, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2348, 2353, 2360, 2369, 2380, 2393, 2408?\nAnswer: 2425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -10*y + 2. Let r(i) = i + 1. Let o(p) = -c(p) - 4*r(p). Let k be o(8). Suppose -4*u = -7*u + k. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 3:01 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144102295*k**3 + 1410*k**2 - 21869*k wrt k?\nAnswer: 864613770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15710146 and 12?\nAnswer: 94260876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 9:51 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*f**2 - 108*f**3 - 142*f**3 + 21*f**3 + 9*f**3 - f**4 in the form a*f**2 + m + t*f**4 + z*f + u*f**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6129920 minus 219?\nAnswer: 6129701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-15 - (-28 - -28))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aayayyyyaaaaayaaaa. Give prob of picking 3 y.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 12620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85018 (base 9) to base 16.\nAnswer: -db56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 40 + 8. Suppose -b*i = -l + 61, 86 = 2*l - 4*i - 28. Let k = -48 + l. Solve -25 = -k*j - 5*w, -4*j = -w - 3*w - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k. Let t(u) = 5324*u**2 + 208*u. What is j(t(l))?\nAnswer: -15972*l**2 - 624*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (11 - (-18 + (8 - -3)))) + -66.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15494123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3603864 divided by 54604?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 970 divide 570513023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + g - 2. Let u be y(2). Suppose -15 = -v - u*j + 3*j, v + 2*j = 15. Suppose 845 = 20*w - v*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -61*l + 3. Suppose 3*u + 12 = -46*o + 41*o, 13 = 10*u - o. Give z(u).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2867?\nAnswer: 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 6. Let r be w(-4). Let k(m) = 2*m + r*m - 3*m. Let t(h) = -13*h. Let x(b) = -259*b. Let s(y) = 119*t(y) - 6*x(y). What is k(s(l))?\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11727828 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -350, -341, -314, -263, -182, -65?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15893, -31979, -48067, -64157, -80249, -96343, -112439?\n\"Answer: -s**2 - 16083*s + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -43*s**3 + 5*s**2 - 22*s - 5. Let c(y) = -22*y**3 + 3*y**2 - 10*y - 3. Give -3*b(l) + 5*c(l).\nAnswer: 19*l**3 + 16*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1076 + 2211. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -256545, -256566, -256587, -256608?\n\"Answer: -21*q - 256524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 222 and 13249108?\nAnswer: 39747324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from sbhvydh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29.682 + 27.682. Let b be 0 + (0 + 2 - 3). What is the nearest to b in 4, u, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -368511 times -0.2?\nAnswer: 73702.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -47. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 2*f - 7. Let k be z(-6). Let a = 21 - k. What is the highest common divisor of 8 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -12. Suppose 0 = -u*w - 2*w + 32. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 624 - 23526.\nAnswer: -22902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2 and -13\/128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 374 - 374.0815. Round a to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -354670 divided by -3\nAnswer: 354670\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014400501 to 4 decimal places.\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**2 + 11000*m - 6050000 = 0?\nAnswer: 1100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 5*u - 14. Let a be q(7). Solve -k + a + 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4445, -8888, -13331, -17774?\nAnswer: -22217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -30, -18\/7, 32, 5, -3\/7 in descending order.\nAnswer: 32, 5, 4, -3\/7, -18\/7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 6*v - 8*v)*(1 + 0 - 3) + 10*v + 45*v + 14*v in the form f + x*v and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -1, 0.01, 11944?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3156\/(-2630))\/((-2)\/(-75)*-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a864 - 46b?\nAnswer: -2b113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2176 and 1479?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q. Let u(j) = -598*j**2. Calculate p(u(d)).\nAnswer: -2392*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.0405 millimeters to micrometers.\nAnswer: 71040.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhkkhhhh. What is prob of picking 4 h?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 1 + -2 + (-42)\/(-21). Which is the third biggest value? (a) p (b) -1.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.89 - 1.19. Let b = 3 - 3.4. What is the biggest value in 5, b, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y**2 - 3*y**2 - y**2)*(-3*y + 4*y + y) to a*y**3 + t*y**2 + m*y + k and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71873 and 16072?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 36. Let l be d(-20). Let x(r) = 10*r - 10*r + l*r. Let k(p) be the second derivative of -p**3\/3 - p. Give x(k(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4)*1\/132*-8*-1.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -79. Calculate the remainder when u is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**41\/(r*r**(-19)*r) assuming r is positive.\nAnswer: r**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 2*c**2 - 2*c - 4. Let g be f(4). Suppose 1 = 5*u - 19, 5*u = 4*r - 4. Suppose 4*v - r*v = -8. Solve 13 = 4*p + n, -g = -v*p - p - 5*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15496 is divided by 221?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85088 + 19113. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + 107 + (-48 - 12).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 40*q + 0*q**3 - q**4 - q**3 - 43*q + 3*q**2 + 11 to b*q**4 + a*q**3 + w + r*q**2 + p*q and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 11\/9, -2\/9, 1\/5, 0.4, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1492 + 2?\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 3, -2, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1951*g - 1950*g - 4*o - 270 = o, -5*g - o = 28 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -721.1831 to 1 dp.\nAnswer: -721.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4752748237337 + -15.\nAnswer: 4752748237322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27.3 + 29. Let o = -1.2 + n. Let b = 7 - 12. Sort b, -0.3, o in descending order.\nAnswer: o, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.083 - -5.083. Suppose a = 3*a - 2. Let l = 13064\/32585 - 6\/6517. What is the nearest to a in l, d, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 178 = -3*f + 9, 0 = -3*q + 3*f - 291. Let r = q + 205. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706081183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) - -1*sqrt(2057) - (sqrt(272) + -1).\nAnswer: 1 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37, -64, -139, -286, -529?\n\"Answer: -4*j**3 + j - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 9 - 10)*(0 + 8 + 6)*(-3*k - 2*k + 10*k) + 4*k + 1 - 1 to the form j*k + r and give j.\nAnswer: -1046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.5 - -6. Let o be (-1)\/(0 + (-3)\/4). Let y = -1 - -0.9. What is the biggest value in y, o, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1527451 - -2549.\nAnswer: 1530000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 + -19. Suppose 67 = 6*j - d. Solve 5*o - j = -0*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -63, -168, -273, -378?\n\"Answer: -105*b + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-3)*(-1)\/(25\/6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1113645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 7*w**2 + 4*w + 12. What is s(-8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*k - 15, 3*w - 34*k - 50 = -35*k. What is the remainder when (425\/(-4))\/(-5) - w\/60 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 57\/152 - -2*179\/(-16). Sort -2, t, -12, 5 in increasing order.\nAnswer: t, -12, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/284 and 17\/11999?\nAnswer: 47996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1726 and 237986058?\nAnswer: 1726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60678*h**3*v - h**3 - h**2*v - 26*h**2 + 3223640*h*v wrt h?\nAnswer: 364068*h*v - 6*h - 2*v - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + s + 7*s)*(3 + 5 + 1)*(-2 + 3 - 4) to l*s + o and give l.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/9500 and -91\/2296720.\nAnswer: 57418000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x + 12. Let n be v(2). Solve 0 = -2*k - n*k - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*t - 15 = 0, 27 = -4*a - 6*t + 11*t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 130.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -184 + 121. What is the tens digit of (-2)\/(-1 - h\/69)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270\/165*8\/(-8)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j*k**2 - 4*j*k*q + j*q**2 - 4*j*q + 38895*k**2*q**2 + 10032*k**2 + 16*k*q**2 + 1 wrt q.\nAnswer: 2*j + 77790*k**2 + 32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/2*o**4 + 18*o**2 + 12*o**3 + 0 + 0*o + 1\/2*o**5.\nAnswer: o**2*(o - 6)**2*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20 and 19166.2?\nAnswer: -383324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273 and 3120.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5538 + 5588. Calculate the lowest common multiple of m and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 12*z**3 + 2*z**2 + 9*z + 3. Let y(b) = 6*b**3 + b**2 + 4*b + 2. Calculate -2*q(a) + 5*y(a).\nAnswer: 6*a**3 + a**2 + 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8257612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**7\/70 - m**6\/8 + m**5\/5 - 8*m**2 + 30*m - 1. Let c(v) be the first derivative of g(v). Factor c(q).\nAnswer: 3*q**2*(q - 4)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/538935 and -29\/2562?\nAnswer: 7545090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g*r*v*z - 3*g*r + 4*g*v - 3*r*z - 5*r + 5*v*z wrt g.\nAnswer: 3*r*v*z - 3*r + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 2. Let y = 4643\/2 + -2323. What is the nearest to a in -0.2, 5, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 85118034 and -0.341938.\nAnswer: 85118033.658062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-4))\/(36\/12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 945746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 minus 16092?\nAnswer: -16177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 7) to base 12.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 3*d**2 + 2*d - 3. Let q be z(5). Let l be ((-3)\/(-2))\/((-12)\/(-376)). Let s = l - q. Calculate the remainder when s is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 0*1\/4. Suppose -8 = 2*m - o*m. Suppose 0*z = 2*z + m, t + 16 = -5*z. What is the highest common factor of t and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 6:54 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 1:37 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*f - 2*l + 1, f + 5*l = -5. Suppose f = 4*n + 4*g - 16, -2*n + 4 = g - 2. Let i = -2\/3 - -1\/3. Which is the closest to 1? (a) i (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 7*m = c - 5, 0 = -3*c - 9*m + 33 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14712 (base 11) in base 7?\nAnswer: -114500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.28 + -0.02. What is the nearest to 2 in 3, 4, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 9:20 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 292.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -216 + 318. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 2906\nAnswer: 871.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -76. Let h = 391 - 387. Which is the nearest to -2? (a) u (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*u**2 + 3075496*u\/7 + 292904\/7.\nAnswer: 2*(u + 73226)*(21*u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28189046?\nAnswer: 2, 19, 39043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 1, 0 = l + 2*n + 594 - 2932. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 19 = -2*y, 4*c - 14 = 5*y - 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 26. Let j = -456 - -453. What is the nearest to -1\/7 in f, 2\/3, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*i - 22029 + 4491. Calculate the remainder when i is divided by 71.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*62\/2015*(1 - (-213)\/(-228)).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59948258*h**3 - 33936081*h**2 wrt h?\nAnswer: -359689548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 greater than 210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 10290522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/3 - 21160*c\/3 - 9327900.\nAnswer: -4*(c + 2635)*(c + 2655)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = -f + 6*i - 12, 0 = 3*f - 3*i. Let a be (-3430)\/19458 - 0\/f. Let x = a - -1\/423. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -9. Let y be v\/3 + 2 + 23. Let p = y - 17. Calculate the least common multiple of 9 and p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 436.\nAnswer: 261.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237, 240, 243, 246, 249?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -14*i + 72. Let a be z(4). Let u be a\/24*1\/18*3. What is the third smallest value in 0.2, u, -16, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 41.984. Let z = 0.164 + y. Let r = -4.78 + z. What is r rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + 0.2. Let a = 0.105 + -2.125. Let q = a + 0.02. What is the third biggest value in 0.4, q, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29*y**4 - 80*y**3 - 46249.\nAnswer: 116*y**3 - 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30\/47 - 2150\/423. Let z be 1 - (8\/(-10))\/(6\/15). What is the common denominator of k and ((-828)\/575)\/(2\/20*z)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -293*k - 1. Let g(t) = -5*t**2 + t - 2. Let f be 4\/3*6\/8. Let r be g(f). Is j(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5133, 21709, 51419, 95967, 157057, 236393, 335679, 456619?\nAnswer: 600917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2663039, -2662978, -2662917, -2662856, -2662795?\n\"Answer: 61*s - 2663100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 2553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3 = -k - 16, -2*w - 2*k - 6 = 0. Let z(g) = 12*g - 7*g**2 - 6 - 12*g**w + 20*g**2. What is z(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**2*r - 108*h*r - 8*r wrt h.\nAnswer: 6*h*r - 108*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 - 0.2. Suppose 0 = 97*o - 105*o - 8. Let d be -3 + o + 41\/3 + -9. Which is the closest to y? (a) d (b) 1 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50197027 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(1\/(-7)))\/1. Let d(o) = -2 + 4 - 19*o - p - 5. What is the remainder when d(-3) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3538, 5192, 6846, 8500, 10154, 11808?\n\"Answer: 1654*v + 1884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.911 times -0.5?\nAnswer: -9.9555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 2.46543.\nAnswer: 2.96543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109\/(-327)*117\/((-9)\/3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 6, 10 = -0*p - p - 4*o. Let k = 0 + p. Suppose 0 = -5*g + k*g + 93. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 4\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide ((-8262)\/30)\/(90\/(-750))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 - 21\/(-6). Let t(d) = -5*d + g*d + 2*d. Let u(i) = 4*i**2. Calculate t(u(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 10*h**3 + 2*h - h.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1537000 divided by -192125?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(1 - 46928\/(-21)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 825900 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 567719868 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**4 - 328*w**3 + 7476*w**2 - 50272*w + 43120 = 0.\nAnswer: 1, 10, 22, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 298, 301, 304?\n\"Answer: 3*w + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-2\/9))\/(n*n*n\/(n*n**10*n)*n*n*n))\/(((n**(-11)*n)\/n)\/n*n**(-12)) assuming n is positive.\nAnswer: n**(290\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -586250 rounded to the nearest 1000?\nAnswer: -586000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 2*a + 18, -831 = -6*a - 30*n - 993 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 - 3*a + 3. Let y be f(2). Let v(p) = 2*p**2 + 14*p + 8. What is the remainder when v(y) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -173977?\nAnswer: 173972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -397692 - 0?\nAnswer: -397692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-342)\/(-57))\/(90\/27*9\/65)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/6)\/(-5)*(1040\/(-26) - -25)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3857)\/3306)\/(42\/4824).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*d - 12*d - 8*d + 11*d to v + x*d and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lli when three letters picked without replacement from hruirgrrgggulrhg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 7, r: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 716182 and 286969.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 15*d = -579. Suppose 3*u - g + d = -5*g, -5*u + 5*g = 275. Is 1 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -3*m + 1\/2*m**3 + 7\/6*m**4 - 6*m**2 + 0 - 1\/20*m**5. What is the units digit of k(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 13421453515?\nAnswer: 13421453513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*m = 4, -6*r + 2*m + 2 = -2*r. Suppose 18 = -l + r*l. Calculate the least common multiple of (-19)\/(-4) + (-1)\/(-4) and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = j, -6 = n + 3*j. Is n\/4 + 7 - -65 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*m**2*q**3 + 4020*m**2*q**2*w - 17*m**2*w**3 + 2*m**2*w**2 + 97103*q**3*w**3 wrt w.\nAnswer: -102*m**2 + 582618*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -2274?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*r**3 + 0 + 2\/5*r - r**4 + r**2.\nAnswer: -r*(r - 1)*(r + 1)*(5*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2955 and 37494813?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -4*w + 23, -z = -88*w + 86*w + 15 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/532026 and -155\/532026.\nAnswer: 532026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8041, -16717, -25393, -34069?\n\"Answer: -8676*c + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37819 + -15179. Suppose h = -127*n + 147*n. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(4 - 2 - 1)*(-3 + 2*c**2 + 3 + (-2*c + 3 - 3)*(1 - 1 + 2*c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w**3 + 4*w**3 + 0*w**3 + (-2*w + 0*w + 4*w)*(-11 + w**2 + 11) as j*w**3 + q*w + n + z*w**2 and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*d - 8. Calculate the remainder when 43 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*2*1 + sqrt(539) + (0 + sqrt(539))**2 + sqrt(539) - ((sqrt(88)*-1*-1)\/sqrt(8))**2 - (4*-4*-4*(-2 + sqrt(176)))**2.\nAnswer: -736752 + 65552*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/42*(-3)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - sqrt(539)*-2 - sqrt(539))*2)**2 + -1 + (sqrt(539) - 3*(sqrt(539) + -1) - sqrt(539) - (-4 + (2*sqrt(539))**2)).\nAnswer: -21*sqrt(11) + 6474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k - 46. What is y(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1660*4.\nAnswer: 6640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 2:37 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 609*m - 30408. Determine q(50).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.6 + 6.46. What is c rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 2. Let t be r(0). Let h = 7 + t. Let g = 0 - h. Which is greater: -4 or g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 121?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9951 in -3, 12, 4, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)\/((g**(-2)\/g)\/g))\/(g**(-1)*g*g\/(g*g\/((g*g\/g**6)\/g*g)*g)*g) assuming g is positive.\nAnswer: g**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 384 = 5*d. Let l be (5 - (-516)\/(-108)) + 1167\/(-27). Let x = d + l. What are the prime factors of x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-21))\/((-1)\/(-3)*-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.27 - 171.02777\nAnswer: -172.29777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108 + 136. Let w = x + -20. Calculate the lowest common multiple of 12 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.1059 micrometers to kilometers.\nAnswer: 0.0000000521059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i - 64. Let w be c(12). Suppose 0 = 2*p + n - w, 2*p - n - 4*n = 44. What is the remainder when 67 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18466 - 443123\/24. Calculate the common denominator of 67\/16 and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4992 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/32)\/3*18\/12*(-200)\/375.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 10:03 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z. Let i(u) = 236*u. What is i(s(y))?\nAnswer: 2124*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293873126?\nAnswer: 2, 146936563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015940 (base 11) in base 12?\nAnswer: 726232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -267, -531, -805, -1095, -1407, -1747, -2121, -2535?\nAnswer: -2995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/3 + 1\/6. Suppose 0 = -0*n + 4*n, -4*s = -5*n. Which is the nearest to q? (a) 3 (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 45579 = 5*w, -w + 2*w = -5*z + 227775. Suppose 3*g + o - 27330 = 0, 0*g - z = -5*g - 3*o. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 37 (b) -1\/5 (c) 48 (d) -0.3 (e) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3141003303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 11:38 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by 8213.\nAnswer: 114\/8213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, r: 5, i: 5}. Give prob of sequence uiru.\nAnswer: 35\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from qqtqqtnmgnmmhqn.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjejjjjsp. Give prob of picking 2 c and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 = 2. Let b(h) = 11*h + 2. Let o be b(3). Calculate the highest common divisor of o and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -55.23. What is p rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*f + 68*f - 299*f.\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-141 + -1245)\/(-77) + 186\/(-7)\nAnswer: -60\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 69 + (-1 - -8) + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157524, -1259894, -4252014, -10078758, -19685000?\nAnswer: -34015614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j = 91*j - 330 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 + 20*s**3 + 5*s**4 - 20*s**3 wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -989 - -858.2. Let a = y + 131. Let z = 4 + -7. Sort a, z, 2\/15.\nAnswer: z, 2\/15, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1584 and 24354.\nAnswer: 194832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.48074mg in micrograms?\nAnswer: 48480.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a decade?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/11, 1, 8, -5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -5 + (0 + sqrt(108) - sqrt(108))*4)*-2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f - 27 = 4*t, 2*f - 18 = -t. Suppose -s + 10 = f. Let i be (-2)\/(-4) + s + (-9)\/(-6). Solve 3*h + 20 = -4*o, i*h = -o - 10 - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c + 0 + 1\/2*c**2. Let p(o) = -2*o**2 + 2*o + 1. Calculate -p(j) + 3*v(j).\nAnswer: 2*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -234*u**2 + 479*u - 7. Determine p(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8037333ml to litres.\nAnswer: 0.0008037333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1. Let n(b) = -b**3 + 16*b**2 + 15*b - 2. Let k be n(17). Let y be (k\/(-48))\/((-6)\/16). Let s(g) = -3*g. Give y*i(w) + 2*s(w).\nAnswer: -6*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.346909 rounded to one dp?\nAnswer: 14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 6*p**2 - 21*p + 125. Give v(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t**2 - 3*t - 2. Let i be a(-1). What is the remainder when 2 is divided by 12\/i - 2\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/15 or 0.8701?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5057712 and 4743.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132 - 14) + -13 - -166.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 625 = 3*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: Expand (-3*u + 3*u + 2*u**2)*(-2*u - 2*u + u) + (u - 4*u + u)*(2 - 2 - u**2) - 12*u**3 + 12*u - 12*u.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 - -0.10063?\nAnswer: -48.89937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2. Let f(n) = -n**2 - 7*n**2 + 4*n**2 - 6*n**2. Give z(f(w)).\nAnswer: -500*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -120*t**2 + 176*t**2 + t - t to v*t**2 + l + b*t and give v.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243681 + 16466 = 37*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 1\/7339 (c) -3\/5 (d) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -16 (b) 100 (c) -1 (d) 1\/311\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1177 - -3035. Is 58 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 12 = l - 3*l, -l = -5*o + 24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 10 = -k, 0*l = -l + k + 6. Solve -l*i + 8 = 4*o, -2 - 2 = -2*o + 4*i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 11:31 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 137, 251, 365, 479, 593?\n\"Answer: 114*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l**3 + 10*l**2 + 2*l - 11. Let r(x) = 7*x**3 - 11*x**2 - 2*x + 12. Let g(b) = 6*a(b) + 5*r(b). Determine g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1254164 + -2.5.\nAnswer: 1254161.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977792.\nAnswer: 2, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -5*n - 2, 1 = -f - 28*n + 35*n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2, 0.007, -0.03?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 5*t - 5*k, 4*t = -2*k + 15 + 115. Calculate the highest common divisor of 110 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 9*j + 25*j - 18*j + (-5 + 6 + 5)*(2*j + j - 2*j).\nAnswer: 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5579, -25025, -57433, -102803?\nAnswer: -161135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149507?\nAnswer: 47, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**2. Let w(c) = -5*c - 4*c**2 + 5*c. Determine p(w(m)).\nAnswer: 80*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 2:17 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106318686.\nAnswer: 2, 3, 37, 478913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 5075788?\nAnswer: 5075783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 32 - 272. Let v be (-2 + 8\/3)*w. Suppose -3*j = -5 - v. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 199 - 194. Suppose -17*k + 8580 = -z*k. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 2106662600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/638 and -75\/8?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4\/7 - 162*o**3\/7 - 1437*o**2\/7 - 342*o\/7 + 18576\/7 = 0. Calculate o.\nAnswer: -43, -8, -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 42*c. Let l(v) = -65250*v**2. Give k(l(p)).\nAnswer: -2740500*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*p - 70, -2*p - p = -5*q - 105. Solve -10 = -d - t, 0 = -5*d - t - 5 + p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9 - 6 - (-2 - -9). Let i(w) = -w**2 - 4*w - 3. Give i(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 1 - (39 + -25) - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 365152250 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4520\/(-16))\/(6\/(-72))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325 = 13954*y - 13979*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/1*(-2)\/3. Let y be 3\/((6\/(-40))\/1). Let r be 3\/(-1*h\/y). Solve 2*l + r = 5*a, -a + 21 = -l + 3*a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*y = -8, 10*y - 20 = 3*r + 6*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/4290 and -59\/3.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 123, 166, 211, 258, 307, 358?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2055448 and 151\/4624758?\nAnswer: 18499032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(13)*1 + -5) + (sqrt(1053) - -1*sqrt(1053) - (4*sqrt(52)\/sqrt(4))**2) + 3.\nAnswer: -190 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*f + 2 = 0, -17*q = 313*f - 309*f + 17 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 + -141. Let p = 67 + o. Suppose 22 = 5*k - 0*k - 3*q, -5*k + 28 = 3*q. What is the lowest common multiple of p and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*k - 513 = 85*k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 320*q - 323*q - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 9264?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 195*k + 5211. Let a be y(-26). Solve 0 = 5*z + 166 - a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10315*d**6*k - 4*d**4*k**3 - 23*d**2*k**3 - 146*d**2 + 12*d*k**3 - 2*d wrt d?\nAnswer: -1237800*d**3*k - 96*d*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 50\/11?\nAnswer: 50\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 205 - 409 = 0. Does 18 divide (16\/68)\/(-2) + 7968\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in years?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Suppose -3*o = -4*j - 1002, -3*j + p*o = -o + 754. Let w be 40000\/(-3)*(j + -3). Round w to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*p**4\/4 - 2589*p**3\/4 - 9*p**2\/2 = 0 for p.\nAnswer: -6, -3\/431, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2*6\/(-12))\/(1\/765). Suppose 4*b - 13*b + s = 0. Let q = b - 84. Solve 4*n + 2*y + q - 5 = 0, 14 = 2*n - 2*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 22, 1248 in increasing order.\nAnswer: -41, 22, 1248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 - 1)*(-145*c + 749*c + 1 - 1) in the form z + v*c and give v.\nAnswer: -2416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-585)\/(-36))*(-20)\/56.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -42. Let s(o) = o**3 + o**2 + o + 18. Let j be 1*1*-2 - -2. What is the remainder when s(j) is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 - 8*m**2 + 18*m**2 + 5*m**2 - 45*m - 21*m**2.\nAnswer: 3*m*(m - 5)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 50 + -31 + -88.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 1955*g + 1951*g + 132, -2*t + g - 22 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -23. Let b be 5 - (-8)\/(-40)*q. Determine m so that 0 - 4\/7*m**5 - 8\/7*m**4 + 4\/7*m + 8\/7*m**2 + 0*m**b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -51*a - 645. Calculate the remainder when 1035 is divided by s(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/11 and (-12 + 2)\/(-3 + (-2556)\/16).\nAnswer: 7161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6588*x**5 + x**4 + 28*x**3 - 5*x**2 - 94990 wrt x?\nAnswer: 395280*x**2 + 24*x + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7350*x**2 + 847*x - 24. Let r(n) = -2450*n**2 + 282*n - 8. Let z(u) = -4*m(u) + 14*r(u). Find d, given that z(d) = 0.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -2*s**4 - 20*s**3\/3 - 12. Find the third derivative of d(p) wrt p.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000126214513 to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggg. What is prob of sequence ggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1125*n - 62. Is i(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144937475.526883446 - -144937477. Let t = -105.526884376 - u. Let l = t - -107. Round l to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*c + 10. What are the prime factors of -3 + c - (-6 + -37)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/2*3\/(9\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**5\/5 - 17*i**2 - 2. Let p(b) be the third derivative of -b**5\/60 + 2*b**2. Calculate k(p(w)).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*q - 5 = -q, 4*x + 5*q + 16 = 0. Let j = 127 + -128. What is the nearest to 1 in x, -5, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 + 116*k - 830. Determine d(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 - c + 20. Let k = -99 - -46. Let l be k*(-3)\/15 - 3\/5. List the prime factors of h(l).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 36. Sort w, 3, -5 in decreasing order.\nAnswer: 3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66206506.\nAnswer: 2, 71, 466243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1762686.66 hours?\nAnswer: 10492.1825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 11*x - 7. Let f be u(10). Factor 6*j**2 - 1 - 12*j + f - 26 + 0 + 3*j**3.\nAnswer: 3*(j - 2)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, r: 7}. Give prob of sequence nnn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 5*y + 2 = -4*j, 0 = y. Let d(l) = 5*l - 10. Let b be d(3). What is the third biggest value in -2\/7, b, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imi when three letters picked without replacement from mmmmmimmmiimmm?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4796917 less than or equal to 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 2*k**2 - 10. Let o be j(-3). Let c be (36\/(-27))\/(1*o\/39). Let y = 52 - c. Solve -d - 2*f - 3 = -3*f, 3*d + 4*f - 19 = y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68364.52 seconds in microseconds?\nAnswer: 68364520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 8\/(-24) - 31\/(-3).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(228) - -1*sqrt(228) - sqrt(228) - sqrt(228))*2*5)\/(1*-3*sqrt(12) + ((sqrt(300) - sqrt(300)*-1) + sqrt(300) - sqrt(300) - sqrt(300))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42611314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*c - 209, c = -3*j + 2*c + 143. Let n = j + -38. Is n smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 10068?\nAnswer: 171156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(8) - ((sqrt(800) - (sqrt(800) - (sqrt(800) + -1*sqrt(800) + sqrt(800)))) + sqrt(800) - sqrt(8)))*1.\nAnswer: -sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmu when three letters picked without replacement from ubmtg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, -5\/2, -0.4, 2 in decreasing order.\nAnswer: 2, 0.17, -0.4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -90, 2\/9, 3\/2, 0.1, -1\/3, 0.012?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, e: 5, m: 1, j: 1}. Give prob of sequence jjcc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 5 + -11 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-140)\/(-88))\/(4\/8) and 47\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2. Let y(d) be the third derivative of d**5\/120 + d**3\/2 - 2*d**2. Let z(q) be the first derivative of y(q). What is z(o(l))?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 6*l + 5. Let g be 2\/6 - 152\/24. Let d be a(g). What is the derivative of 2*f - 2*f - 2*f**4 - 2 + d*f**4 wrt f?\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 19*d - 8. Let s be v(-20). Suppose 4*p - 83 = 381. Suppose -3*u - p = u. Is u less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4\/7 + 180*p**3\/7 + 2316*p**2\/7 - 11520*p\/7 + 12288\/7.\nAnswer: 3*(p - 2)**2*(p + 32)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 14*y - 2079. Suppose -4*b + y = n, 2*b + 127 + 98 = n. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 less than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 + 6*k + 4. Let l be t(4). Let s(h) = -h - 1. Let w(a) be the first derivative of -a**2\/2 + 397. Determine l*w(y) + s(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2516 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -192 + 270. Let c be (4\/6)\/(4\/i). Suppose -3*a - x + 8 = 0, 0 = x + 2 + 2. Solve a*t - c = -33 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -4. Let u = -10 - -29. Suppose v*o + 7 = u*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3168 divided by 3?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200501462 is divided by 1108?\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**6\/120 - o**4\/12 + o**3\/3 + 16*o**2. Let p be j(0). What is the biggest value in 1\/4, -2\/3, -1\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4, -4*q = 2*v - 5*q - 3. Let j be ((-2)\/(-7))\/(2\/14). Solve 3*n - 4*k - v = k, j*k + 8 = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (15440\/12)\/10*(-3)\/(-2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82664042?\nAnswer: 2, 31, 1333291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 11*r**2 - 22*r - 3. Determine v(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -0.3, 0.1, -2, -0.4 in decreasing order.\nAnswer: 0.1, 0.09, -0.3, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 4 - 6) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 46*g. Let z(l) = -406*l**2. What is v(z(t))?\nAnswer: 164836*t**4 - 18676*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2791344815?\nAnswer: 5, 7, 19, 4197511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -4*n. Suppose n*b - d - 74 = -0*d, -150 = -4*b + 3*d. Let v be -4 + 1 + (29 - 2). What is the greatest common divisor of b and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*s = -6145, 5*i = -133*s + 129*s + 7712. Does 110 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/(3 + -1) + -1. Let n = -16 + g. Solve -n*d = -d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11668, -23336, -35006, -46678, -58352?\nAnswer: -70028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 150498790565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 5:56 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 0.5, -36\/23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/107, -5, 5 in increasing order.\nAnswer: -5, -14\/107, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 5*j**8\/168 + j**5\/20 + 11*j**2. Find the third derivative of z(b) wrt b.\nAnswer: 600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -171, -407, -737, -1161?\nAnswer: -1679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 6578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 369, 598, 815, 1026, 1237?\nAnswer: 1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 - (3 - (6 + -3)). Let v(q) = 2*q**3 - 15*q**2 + 11*q + 24. Let b(k) = k**3 - 8*k**2 + 6*k + 12. Let n(u) = 7*b(u) - 3*v(u). Is n(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 327578, 327580, 327582, 327584?\nAnswer: 327586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6 - 4 + 1)*(4 - 5 + 2) - 1 + 3 - 3)*(0*n + 7*n + 29*n) as w*n + t and give w.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1371, 11711, 40319, 96501, 189563, 328811, 523551?\n\"Answer: 1551*j**3 - 172*j**2 - j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*q + 31*q - 39*q - 70*q)*(-3 + 3 + 2*q) in the form d*q**2 + b + a*q and give d.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**5*d)\/(d\/(d\/d**2)))\/((d*d*d*d**(-3\/5)*d)\/d*d\/(d**(2\/13)*d*d)))**(1\/3) assuming d is positive.\nAnswer: d**(179\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483*h**3 + 0 + 464*h**3 + 0.\nAnswer: -19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 2:17 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2 = 2*i, i + i = -a - 4. Suppose -5*d = 3*k + 79, -2*k - 37 = 2*d - 3. Let s = -10 - d. Solve -a*n = -s - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4029465441?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h. Let j(d) = -8*d. Let k = 21 - 32. Let z be (7 + 1)*47\/94. Let n(t) = k*l(t) + z*j(t). Determine n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhh. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v. Let s be t(2). Let x(c) = c**2 - 4*c + 5. Let j be x(s). Suppose -5*y - j = -261. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*q**3 + 2*q**2 + 33*q wrt q?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -91821.\nAnswer: -22\/91821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14879475 is divided by 224.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/19 at least 6209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + 13. Suppose -4*d + 35 = -w. Suppose -v + 29 = 3*x, -v + 0*v - 2*x = -d. What is the greatest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 n, 1 q, and 1 t when four letters picked without replacement from dgqgqtn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + u = -2*u + 135, -5*h + 3*u + 165 = 0. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**5 + 139*t**4 + 546*t**3 + 814*t**2 + 541*t + 135 = 0.\nAnswer: -135, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 696 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -88, -44, 12, 92, 208, 372, 596?\n\"Answer: 2*h**3 - 6*h**2 + 48*h - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uucuuccucuu.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - 0.05. Let q = s + -4.96. Let r be (-4)\/14 - (-4)\/14. What is the smallest value in -1, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76163, -76201, -76239, -76277, -76315?\nAnswer: -76353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 6 + 12. Sort -1, 1, c.\nAnswer: -1, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (35 - 21)) + (6 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 3 - (3 - 5). Suppose 0 = -4*i + 3*i + q. What is the lowest common multiple of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -988 - 1?\nAnswer: -989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 v when four letters picked without replacement from {o: 2, v: 4, j: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5500)*4)\/(1*sqrt(245)).\nAnswer: 40*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1840674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 - -40. Let p = o + 31. Which is the second smallest value? (a) p (b) -0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t\/t**28)*t)*t\/(t\/t**23)*t)\/(t**(-2\/57))**(-18) assuming t is positive.\nAnswer: t**(-69\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168408, 1347243, 4546938, 10777923, 21050628, 36375483, 57762918?\nAnswer: 86223363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {i: 11, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (38\/(-57))\/((-4 + 2)\/510)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2. Let h(m) = -6074231*m**2. Give d(h(j)).\nAnswer: 73792564482722*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + 1)**2*-6.\nAnswer: -13800 - 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or 98?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n = 16*n - 1406. Suppose 0 = -n*u + 688 + 376. What is the greatest common factor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1615231.8 microseconds in weeks?\nAnswer: 0.0000026706875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x**3 + 10*x**2 + 13*x. Let t(p) = -2*p**3 + 4*p**2 + p. Let b(r) = o(r) - 4*t(r). Let j be b(3). Which is bigger: j or 1\/51?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 5:46 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**4\/4 - 8*k**3\/3 + 6*k**2. Differentiate p(b) wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 29 + 13)*(6*d - 4*d + 0*d)*(5 - 5 - d**4).\nAnswer: 72*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 3*z)*(46*z - 982 + 70*z + 1055 - z + 16*z).\nAnswer: -393*z**2 - 219*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzz. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 13\/5*y**2 + 27\/5*y + 2\/5 = 0.\nAnswer: -2, -1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3 - 8*x**2 - 6*x = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/15*(-54)\/12.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37, 89, 141, 193, 245?\n\"Answer: 52*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4017 - 20084\/5. Which is the nearest to -0.1? (a) 6 (b) n (c) -77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i - 9. Suppose 4*z + i*a - 2 = a, 3*z - 19 = 2*a. What is the second derivative of 6*h**3 - h**3 - 2*h - z*h**3 wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2188 - 2192. Let i = -0.55 + 0.35. What is the closest to i in h, -0.6, -5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 42. Solve k*h + 5*j - 2*j = 1, j - 3 = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 + 109*y - 740. What is h(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*c + 23*c + 29*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2 - 4. Let d = o - -9. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6286*y**3 - 9044*y wrt y?\nAnswer: -37716*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 + 7*z**4 + 5*z**3 + 2*z**2 + 3*z**3 + 0*z**3 as s*z**3 + q*z**4 + v + d*z**2 + n*z and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 269103 and 83739?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1850 is divided by 307?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 17*i - 15. Let n be t(-18). Suppose 280 = 5*r - n*y, -2*y = -4*r + y + 221. What is the remainder when r is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**2\/4 - 74225*l\/2 + 5509350625\/4 = 0?\nAnswer: 74225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/5 - 268*i**2 + 238464*i\/5 - 4618944\/5.\nAnswer: 2*(i - 324)**2*(i - 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*s + 85478, 3*l = -690*s + 693*s - 128217. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 26. Suppose -u = 2*n - 6*n. What is the remainder when 5 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + w**2 + 3)*(-1206 + 1206 + 341*w**2) + (2*w**4 + w**4 - 4*w**4)*(-172 + 83 + 108) to g*w**4 + n*w + b*w**3 + q + h*w**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 2*f**2 - 2*f**2 - 7*f**2.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 6*z**2 - 5*z - 6. Suppose -54 = 3*y - 0*o + 5*o, -5*y - 118 = -o. Let d = y + 27. Suppose w + 5*m = 23 + 2, 3*w = -d*m + 31. Determine j(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 14872?\nAnswer: 14865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -58682562939793 + 0.09\nAnswer: -58682562939792.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 40897, 40891, 40883, 40873, 40861?\n\"Answer: -a**2 - 3*a + 40901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 13 (b) 1 (c) 2\/5 (d) 4 (e) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 2*i + 1. Let d be o(-2). Let c(p) = p**2 - 416*p + 417. Let k be c(1). Sort k, 4, -3, d in descending order.\nAnswer: 4, k, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5286102*z**2 + 27564109*z?\nAnswer: 10572204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10032 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 24448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 10*q = 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 43\/4 (b) 0 (c) 4 (d) 5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + -61. What is the nearest to -1 in -1\/3, d, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -356537 (base 8) to base 6.\nAnswer: -2341435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 11) to base 2.\nAnswer: 100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, d: 4, n: 2}. What is prob of picking 2 d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-28 - (-11 + -13) - -13)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - -43?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3685 and 3279985.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 12:21 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 1, -183, 22, -90 in increasing order.\nAnswer: -183, -90, 1, 2, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 204829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2 - 9*a**4 - 7*a**4 + 17*a**4 - 3 - 6*a**3 + a**5 + 5*a + 0 = 0. Calculate a.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1183746, 1183749, 1183752?\n\"Answer: 3*a + 1183743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-26) - (-3 - -2)*-5. Let g(o) = 25*o**2 + 6*o + 3. What is the tens digit of g(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150*l**4 + 4*l + 13*l - 169*l**4 wrt l?\nAnswer: -228*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-102)\/(-8) + (-30)\/40. Suppose -5*r - 9 = -t, 0 = -2*t + 2*r + 2*r + x. Suppose -1614 + 340 = -t*p + 2*c, p - 2*c = 323. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-15 + -12 + (9 - -5) - -1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512*z + 5 = -511*z. Suppose 2*v - 6 = 0, -5*x + 4*v - z*v + 73 = 0. Solve -4*l = -8, -4*r + 5*l - x = 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8476 a factor of 2368923336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 4. Let v be l(3). Let d(j) = -12 - j + 22 - 9. Let h(k) be the third derivative of -k**5\/60 + k**4\/12 - k**3\/3 - 2*k**2. Give v*d(a) + h(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2. Let i(k) = 1988540*k**2. Calculate i(t(n)).\nAnswer: 1988540*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4044304 (base 9) to base 6.\nAnswer: 114105351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74918418 to the nearest integer?\nAnswer: 8656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-4)\/5)\/(18\/402345))\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 25, 0.3, 1259.\nAnswer: -8, 0.3, 25, 1259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -5, 291 in decreasing order.\nAnswer: 291, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t**6\/t)\/t*t)**(2\/29))**(-3) assuming t is positive.\nAnswer: t**(-36\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -125685, -125678, -125671, -125664, -125657, -125650?\n\"Answer: 7*c - 125692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342 != 2342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166 by 420903.\nAnswer: -166\/420903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3.7, 2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.04 (b) -0.1 (c) 11\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7081 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 80?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3139 and 37247374.\nAnswer: 3139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/10 + (-6)\/(-15). Suppose -h - 16 = -3*h. Let d = x + h. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2898350, 5796720, 8695086, 11593448, 14491806, 17390160?\nAnswer: 20288510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*j - 14 + 4296 = -2340 + 56 for j.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (40\/(-25) - -1) + 2\/2. What is the third smallest value in -28, 5, t, 1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*r + 5\/4*r**2 - 9\/4 + 1\/4*r**3.\nAnswer: (r - 1)*(r + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - (sqrt(1573) - (sqrt(1573) - ((-3 + sqrt(1573)*2)**2 - sqrt(1573))))) + (-2*sqrt(13)*1)**2 + (sqrt(117) - -1*sqrt(117))\/sqrt(9).\nAnswer: -6249 + 156*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -0.034151.\nAnswer: 0.409812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.4 times -9.3?\nAnswer: -450.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -1112233311121?\nAnswer: -1112233311120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1199*a**6 - 1083*a**2 + 2 wrt a?\nAnswer: -143880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, o: 1, j: 3}. What is prob of sequence rr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41.4 + -20.7. Let q = 21 - t. Which is the third smallest value? (a) q (b) -2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/30 and (-24)\/27*((0 - -1) + (-595)\/609).\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1056 and 20?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 735 divide 245710628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 k when four letters picked without replacement from bbmjjkvmmmmbmjkkmbv?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5378419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 10 - 0\/2. Let u = 87 + -36. Suppose 2*v + c = u. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q - 30682 + 30662 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -184584650.9 to the nearest 100000.\nAnswer: -184600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 5*c**2 + c - 2. Let j be m(5). Suppose j*g = 6*g - 12. Find the first derivative of -g - 3*o**4 + 0 + 3 wrt o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5018 + -a9?\nAnswer: -50c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1280707596?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 31. Suppose 3*v = -2*v + l. What is the biggest value in 0.2, 4\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 613 = 7741. Suppose x = -5*i + 9*i. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12590152 by 4.\nAnswer: -3147538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 43*c + 3040. Suppose 15*y - 16 = -c. Does y = -54\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68.1 + 68. What is the closest to d in 8, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64268457, -128536923, -192805389, -257073855, -321342321?\nAnswer: -385610787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/7 + 424\/(-14). Let u be ((-6)\/4)\/(h\/(-8)). Let n = -22346 - -44693\/2. Which is the second biggest value? (a) u (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33855460 rounded to the nearest one hundred thousand?\nAnswer: 33900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o - 4. Let v be w(4). Let b be (2\/v)\/(45\/(-18)). Which is smaller: b or 2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**2 + 86*d - 16. Let a(f) = 4*f**2 - 85*f + 12. What is -4*a(w) - 3*y(w)?\nAnswer: -w**2 + 82*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5148*d**2 + 4*d - 6. Suppose 3*w + 2 + 13 = 0. Let k be g(w). Let h = k + 219726. What is h rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4 (b) -12 (c) 118 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 499*p - 500*p = -14, 28 = 14*p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70056 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1040516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3)\/q)\/(q**(1\/4)\/q))**(-31)\/((q\/(q*q**5)*q*q**(5\/2))\/((q**(-2\/5)*q*q*q)\/q**5)) assuming q is positive.\nAnswer: q**(1997\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -719, -730, -753, -794, -859, -954, -1085?\n\"Answer: -j**3 - 4*j - 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -2, 10 in descending order.\nAnswer: 10, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbobobbbboobbobbobb. Give prob of picking 3 o.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*m - 14 = -5*d + 47*m, m = -4*d + 28. Let a(k) = 4*k**2 - 6*k - 5. Let f(w) = 9*w**2 - 13*w - 9. Calculate d*f(b) - 13*a(b).\nAnswer: 2*b**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 15 = -6*x + 3*y, -3*y = 15. Let s be ((-6)\/(-5))\/((-30)\/100). Is 4 a factor of 5 + x\/(2 + s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 10336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7514.4144 rounded to the nearest 100?\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, o: 3, u: 1, c: 6, e: 1, r: 5}. Give prob of sequence onnu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(612) + sqrt(612) + (sqrt(612) - (sqrt(612) + -1)*1) - sqrt(612))**2 - sqrt(612)).\nAnswer: 18*sqrt(17) + 1839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.453 - 23.43. Let g = -0.077 - z. Round g to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/4)\/3*-2 + 3. Suppose s + 3 = 4*g. Let z = 4 - g. What is the closest to 2 in 0.1, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*sqrt(68) + sqrt(68))*-2.\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-1))\/4 - -4. Suppose 0 = -3*b + 3*l + j*l, -2*b = 4*l. Solve b = -i - 1 - 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.1 (b) -0.1 (c) 818 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9235*q - 829. Let r be g(8). What is r rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 14*c**2 + 29*c - 48. Calculate m(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 + -21 + 2 + (2 - (33 + -36)).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/9, -2, 0.4, -3 in increasing order.\nAnswer: -3, -22\/9, -2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2847182 is divided by 1046?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 645.83244 + 4.\nAnswer: 649.83244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17538834837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 13917*s - 68232. What is t(5)?\nAnswer: 1353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41\/5, 2, -0.4.\nAnswer: -41\/5, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/15, 20\/7, 0, 0.4, -49?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24842 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggwggwggggggggg. What is prob of picking 2 g?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.9 and 120599.\nAnswer: 120599.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -1.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -387e3 (base 16) in base 15?\nAnswer: -48865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175525578 to the nearest integer?\nAnswer: 13249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 232*h**5 + h**2 - 2*h - 283?\nAnswer: 4640*h**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 divided by 68?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.39785 micrometers in nanometers?\nAnswer: 51397.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -59 + 35 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1615 + -203. List the prime factors of g.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 116891 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-20))\/(6\/(-240)*-8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370144 is divided by 318.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2733801 is divided by 612.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288466 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*v + 9 = 0, -4*v + 2 = -3*z - 5. Let x(w) = -23*w**2 + 1. Let s(r) = -4*r**2. Let u(l) = 5*s(l) - x(l). What is u(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*f + 64*f + 32*f = -31*f - 7840 for f.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 201 + 48 - (-33)\/3. Solve -m*w = -252*w - 48 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 104 = 4*n. What is the least common multiple of n and -13 - (120\/(-12) + -17)?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21.266 (b) 5\/2 (c) 1\/3 (d) -7 (e) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -113*r**4 - 368*r**4 + 82*r**4 + 74*r**4 - 132*r**4 + 29*r**2 + 6 wrt r.\nAnswer: -10968*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*(1 + (-3 + sqrt(180) + sqrt(180) + 1 - (-5 + -1 + sqrt(180)))*-4))**2.\nAnswer: 26784*sqrt(5) + 112329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 6*v. Suppose 0 = 3*n - 5 - 13. Let t be p(n). Let f(u) = -3*u - 6. Let c(z) = -2*z - 3. Let s(k) = 5*c(k) - 3*f(k). Calculate s(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -20*i**3 - i**2 + i. Let r be (2\/4)\/((-4)\/16). Let k be w(r). Suppose 15*o - 180 = 30. What is the highest common factor of k and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 + 3. Let o = -24 - t. What is the second derivative of -5*n**4 - 11*n + 14*n**4 + 11*n**4 + o*n wrt n?\nAnswer: 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 14*q**2 + 11*q - 12. Let i(k) = -k**2 - 1. Let a(u) = -h(u) + 5*i(u). Let z be a(-10). Let p = -13 + z. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2*o + o)*(4 + 3 - 5) + 0*o + o - 4*o - 31*o + 10*o - 7*o + (1 - 1 - o)*(-3 + 3 - 2).\nAnswer: -25*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 572, 2284, 5136, 9128, 14260, 20532, 27944?\n\"Answer: 570*f**2 + 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 57328.66168 to the nearest integer.\nAnswer: 57329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -49, -50, -51?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1334905.2119 rounded to the nearest 10000?\nAnswer: -1330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - (-38 - 23) - 20 - -22.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 55 = -7*c. Let g = -8 - c. Let z(i) = -2*i**3 + 3*i + 2. Let w be z(-2). What is the greatest common divisor of w and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0, -200\/3, 107567?\nAnswer: -200\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/4907 - -328753\/39256. What is the common denominator of -11\/29 and w?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5782134 - -5.51?\nAnswer: -5782128.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7 - 4)*(-4*o + 3*o + 25*o) + 2*o + 0 + 0 + o + 2*o - o + (-5*o + 2*o + 2*o)*(0 - 3 + 1) + 0 + o + 0 + o + 0 + 0 + (4 + o - 4)*(-3 + 1 + 1).\nAnswer: -233*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 22*l**2 + 46*l - 18. Give u(24).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-6*sqrt(280)*3 - sqrt(280)) + sqrt(280))\/sqrt(10))**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, 1\/148, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 4989805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*p**2 - 4 + 2*p**3 + 42 + 8 to the form g*p**3 + x*p**2 + m + h*p and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 519737\/6, 1, -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 7, j: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-3))\/o)\/o**(-5)*((o**(1\/2)*o)\/o)**(3\/28)*((o*o**(-2\/9)*o)\/(o\/o**(-1)))\/(o**3*o**(-4\/5)) assuming o is positive.\nAnswer: o**(-929\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + q - 58 = 11, 2*y + q = 30. Solve -8 = -15*n + y*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (9 + -23 + 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*q + 4*j, -2*j - 3 + 1 = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89851703251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 + 75*j**2 + 35*j - 194. Calculate o(-37).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*p + 3*p + 15*p + 13*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1126? (a) -4 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 2085430?\nAnswer: 16683440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(3)*-1)**2 + -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 - 37*l**2 + 25*l - 17. Let u(i) = i**3 - 18*i**2 + 13*i - 9. Calculate 4*g(k) - 7*u(k).\nAnswer: k**3 - 22*k**2 + 9*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/9 (b) 2 (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*-17*9\/(-306)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -259 + 551. Let m = u + -263. What are the prime factors of m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**3 + 16*j**2 - 20. Give p(-6).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 22*c**2 + 136*c + 123. Determine u(-16).\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6642)\/(-164))\/81*6\/(-43))\/((-3)\/4).\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1 - 243*t - 1 + 244*t. Let u(d) = d**3 + 17*d**2 - 38*d + 12. Let y be u(-19). Let b(m) = -24*m + 17*m + y*m. Calculate b(i(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 12. Let r(t) be the third derivative of -t**4\/24 + 13*t**3\/6 - 76*t**2. Determine 4*c(i) - 3*r(i).\nAnswer: -i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 540 by -1.\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 48*o**4 - 15764*o**3 + 6536*o**2 + 7868*o + 1312 = 0?\nAnswer: -1\/3, -1\/4, 1, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 15 = -3*p, 2*p = -2*p - 2*t + 14. Calculate the smallest common multiple of p and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88769161 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12b1c (base 14) in base 4?\nAnswer: 23100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 18 = -2*a + 4*u, -40 = -2*a - 4*u. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1772009?\nAnswer: 673, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**9\/15120 + c**6\/48 - c**5\/15 - 12*c**2. Let f(p) be the third derivative of m(p). Differentiate f(y) with respect to y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/3*-3*5\/15. Solve k*v - 5*v + 3*n - 3 = 0, 1 = n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/((-8)\/10)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - m = -9*s + 25, 4*s - 2*m - 26 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o*p**2 - 285*o*p + 3491*p**2 wrt o?\nAnswer: 2*p**2 - 285*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 31\/2 of a second?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 e when four letters picked without replacement from xbxex.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -207.4 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6*u = 4*u + 364, 4*f - 485 = -3*u. Suppose 2*w - f = -v, -5*w + 371 = -v + 4*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 514 - 517. Which is smaller: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 664545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**8\/1176 - a**7\/105 - a**6\/28 - 3*a**5\/70 - 3*a**2 + 5. Let k(j) be the second derivative of w(j). Factor k(f).\nAnswer: -2*f**2*(f + 1)*(f + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**7\/210 - s**6\/120 - s**5\/60 + s**4\/24 + 4*s**2. Determine i so that y(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 185028 and 16467492?\nAnswer: 16467492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - 2*r**3 - 4*r**3 + (-r + r + 2*r**2)*(0*r - 4*r + 3*r) - 5*r**3 + 2*r**3 + 4*r**3 - 4*r**2 + 4*r**2 + 2*r**3 - 5 + 5 - 3*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -104 - -111. Let u(t) = -t**2 + 8*t + 10. Give u(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6618, -6624, -6632, -6642, -6654?\n\"Answer: -m**2 - 3*m - 6614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 27?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -951 divided by -6971?\nAnswer: 951\/6971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 0*l + 0*l**2 + 2\/3*l**3 - 14. Let o(m) be the first derivative of -7*m**2\/2 - 1. Determine z(o(i)).\nAnswer: 98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107273 - 107271. Factor -1\/2*n**l + 5 - 9\/2*n.\nAnswer: -(n - 1)*(n + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*z**2\/3 + 290*z\/3 - 304\/3.\nAnswer: 2*(z - 1)*(7*z + 152)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/8 - 29*s**2\/8 + 27*s\/4.\nAnswer: s*(s - 27)*(s - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from {s: 5, t: 4, j: 2, p: 1, w: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 1340*m - 1336*m + 5*h, 5*m - 5*h = 80 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 9*l = -7059. Calculate the common denominator of -51\/4 and 2 + 48\/(-20) + l\/(-120).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -32\/15*x**6 - 1\/21*x**7 + 0*x**5 + 0*x**4 + 0*x**3 + 1 + 0*x**2 + 13*x. Factor u(i).\nAnswer: -2*i**4*(i + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8908 divided by -2227?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-230 - 313 + 129)*(1 + 2*n + 1 - 3*n) to the form m*n + y and give y.\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 103001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, s: 1, o: 2}. What is prob of picking 1 o, 1 s, and 1 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322204196.\nAnswer: 2, 17, 61, 173, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4819 + 12765769\nAnswer: 12770588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.95 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(-15)\/(-40)*132. Let x be (2\/o)\/((-1168)\/(-597468)). Let u = x + -1\/4818. Find the common denominator of u and 113\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(640)\/sqrt(8) + (1*sqrt(245))**2.\nAnswer: 4*sqrt(5) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28 (b) 0.2 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.79915ng to kilograms.\nAnswer: 0.00000000000079915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14951 and 8.982.\nAnswer: -134289.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 30 - (8 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -910*j**4 - 2*j**3 - 852*j**2 + 2*j.\nAnswer: -21840*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32\/14 + -2 - (-2 - -2). What is the nearest to y in -7, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -3)\/((-26)\/65). Put -3, -18, 2, u in ascending order.\nAnswer: -18, -3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8633220 (base 10) in base 16?\nAnswer: 83bb84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1799*i - 1762*i - 370 = 0 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000162293416 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1753.4833 + -74061\nAnswer: -75814.4833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {t: 3, i: 2, o: 4, b: 3, w: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*b = -6*w - 4, -3*b = 3*w - 12. Suppose -w*l = -x + 4*x - 2657, 10 = -2*l. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17\/150 (b) -14 (c) -2.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -v + 21. What is the first derivative of 2*i**4 + 6*i + 0 - v*i - 5 wrt i?\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37\/16 - 3\/2. Find the common denominator of d and -40\/13.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -4\/9, -3.328, 4, 0, -1028?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 395*u**2 + 18042*u + 4*u**3 + 25339 + 20917 - 19*u**2 - 2*u**3 - 11660.\nAnswer: 2*(u + 2)*(u + 93)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.173 + -0.073. Let k = -5 + h. Let n = 8827\/2 + -17651\/4. Put 1\/9, 5, n, k in decreasing order.\nAnswer: 5, n, 1\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/41 in -2, 8, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12.7 (b) -4 (c) 2\/16375\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 5*l**4\/4 - 50*l**3\/3 + 45*l**2\/2 - 235. Determine a, given that y(a) = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 878 or 4\/9?\nAnswer: 878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)*-4 - sqrt(77)*-1*5)\/((sqrt(264)\/sqrt(128) + sqrt(33))\/sqrt(3)).\nAnswer: -12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 2*r - 3. Let f be h(2). Suppose -5*p + k + 9 = 0, f = -2*k + 1. What is the first derivative of -4 + 7*d**4 + p - 3 wrt d?\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 times 2.66192?\nAnswer: -726.70416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.87 - 19.9. Let d = -0.03 - n. Let g be (-2)\/5 - (-1)\/5. Which is the third biggest value? (a) 2\/5 (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6655)*2 + sqrt(55) + sqrt(55))\/sqrt(11).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*c + 15*c. Suppose c = -4*d + y + 58, 3*d - 47 = -y - 7. What is the highest common factor of d and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -11*v**8\/6720 + v**6\/240 + v**5\/120 + v**4\/4 + 2*v. Let r(y) be the third derivative of c(y). Is r(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20236 + 20301. Solve -27*u = -f - 124 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 9*p - 22 = 4*p, -4*h - 5*p = -29 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 0 - 5\/24*z**4 + 0*z**2 + 0*z**3 - 141*z + 0*z**5 + 1\/12*z**6. Factor v(a).\nAnswer: 5*a**2*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001069878498 rounded to seven decimal places?\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 6\/5*v**5 - 452\/5*v**4 + 5364\/5*v**2 + 1258\/5*v + 2544\/5*v**3 - 1104\/5 = 0. Calculate v.\nAnswer: -1, 1\/3, 8, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110876, 221750, 332624, 443498, 554372, 665246?\nAnswer: 776120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x + 708. Let w(f) = -2*f**2 + 3. Determine w(q(n)).\nAnswer: -8*n**2 + 5664*n - 1002525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/15*(-20)\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-18) + (-70)\/(-9). Let r be 21 + -2*1 + 2. Suppose 0*m - 5*m + 4*q = -60, -q + r = m. Calculate the highest common divisor of u and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1078054, 1077141, 1076214, 1075267, 1074294, 1073289, 1072246, 1071159?\n\"Answer: -h**3 - h**2 - 903*h + 1078959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 = 4, 4*u = 3*g + 361. Let r = -27 - g. Let s(v) = -v**3 + 6*v**2 - 5*v - 4. Let o be s(4). Calculate the greatest common factor of o and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 8*l + 5. Let r be w(8). Let t(c) = 207*c + 14497. Let b be t(-70). Solve b = r*m + 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-15 + 2)*372\/(-12) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*k - 3*j, -28 + 3 = -5*j. Let w be 8\/k + (-6)\/(-15). Let u be (w - -168)\/(2\/4). What is u rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-9 - -1) + (21 - 16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -2. Suppose -4*q = -g*v + 42, 3*v - 30 = -q + 27. What is the remainder when 52 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-350)\/(-45) + 5 + 86\/(-18). Suppose 239 + 2073 = u*y. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461345 is divided by 7203.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -165, -148, -123, -90?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 470 = -9*l. Let r = -103636 - -103871. Calculate the highest common factor of r and l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - 6 - -14) + -5 + -78 + (2 - 3)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0\/i)\/i)**(-4\/13)\/((i*i**2)\/i**(2\/7)) assuming i is positive.\nAnswer: i**(-219\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -828, -1873, -3356, -5283, -7660, -10493, -13788?\nAnswer: -17551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/120 and 89\/330.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z - 76 = -22 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 55 + (-1 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.53*-5581.\nAnswer: -2957.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (237\/2 - -10)*4\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 11*t**2 - 9*t - 100. Let u be k(-11). Sort 5, u, 20.\nAnswer: u, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(25\/(-4))\/5. Suppose z*o - 3 = 7. Let i = o + 1. Which is smaller: 4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -328 - -496. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -13 - 30\/(0 + -2). Let r(p) be the second derivative of -b*p**2 + 7*p + 0*p**3 + 1\/3*p**4 + 0. Let r(q) = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.4 + 5. Let v be (5 - 3) + (-3)\/(-1). What is the closest to 0 in v, p, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/2)*f*f**(2\/19)\/f)\/((f\/(f\/(f*f**(1\/2)))*f)\/(f**2*f)))**(27\/2) assuming f is positive.\nAnswer: f**(-459\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 980\/280 - (46\/12)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*f + 37*f - 50 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -316, -495, -690, -901?\nAnswer: -1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2398 is divided by 609?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12829*a*f*v + 3*a*f + a*v - a + f*v - 18*v - 12539 with respect to f.\nAnswer: 12829*a*v + 3*a + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.8309l?\nAnswer: 9830.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 373736\/(-8494) - 3309\/(-75)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**5 + 9*r**4\/2 + r**3.\nAnswer: r**3*(r + 2)*(4*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(sqrt(343)*-1 + 1 - (sqrt(343) + (sqrt(343) - (((sqrt(343) - (sqrt(343)*-1 + sqrt(343))) + 3)**2 + sqrt(343))) + sqrt(343))).\nAnswer: -2118 - 126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**8\/56 + 41*h**7\/210 - h**4\/8 - 187*h**3\/6 + 21*h**2 + h. What is the second derivative of y(d) wrt d?\nAnswer: 120*d**3 + 492*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (560\/100)\/(-5 + 3 + 66\/30).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 95 = 5*z - 296, -4*z + 320 = 2*c. What is the remainder when 94 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24555 by -164.\nAnswer: -24555\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t**2 + 10*t**2 + 6*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 65209192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003016163 rounded to 5 dps?\nAnswer: -0.00302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 21*c**2 + 22*c - 31. What is p(-3)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2.11. Let y = l - 3.89. Let x be (-1)\/((-11)\/1)*2. Which is the closest to 0? (a) x (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 39.\nAnswer: -1, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -69\/1141?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-24)))\/v*v**(-1))\/(v**(-7\/6)*v\/(v*v**(-3\/4)*v*v)) assuming v is positive.\nAnswer: v**(-283\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 17.2.\nAnswer: 68.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 486 - 477 = 0. Which is the second biggest value? (a) z (b) 0.13 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-348)\/(-116))\/(((-6)\/(-14))\/(30\/(-21)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2312, 2, -3 in decreasing order.\nAnswer: 2312, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 + 2*g**2 + 2*g**2 + (2 + 0 - 3)*(3*g**2 + 2*g**2 - 7*g**2) + 2421 - 2421 - 22*g**2 to the form c*g**2 + k*g + l and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (8355\/(-5013))\/((-4)\/(-26)*(-10)\/24)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - -1.15. Let k = -2 + o. Let y = 2.2 - k. Which is the closest to 0.1? (a) y (b) 4\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 4*w + 12. Let h(x) = -x - w*x + x + x. Let o(l) be the second derivative of -7*l**3\/6 + l. Calculate o(h(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2. Let f(t) = -5*t + 4. Let a(o) = o - 1. Let g(i) = -4*a(i) - f(i). Give g(m(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 28215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33.16357 - 4.\nAnswer: -37.16357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 1 = -377*f + 376*f, -4*f - 5*l + 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13\/52*-4*844\/(-2)?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**5\/20 + c**4\/2 + 7*c**3\/6 + 3*c**2 - 32*c - 11. Let a(u) be the first derivative of l(u). Calculate a(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1148917*m. Let f(d) = -2*d**2. Calculate f(v(g)).\nAnswer: -2640020545778*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + z = 1, 0*j + 3*z = -j + 3. Calculate the common denominator of (-43 - j)*4\/(-48) and (-940)\/(-264) + (-2)\/(-3).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 30*s**3 + 8*s**2 + 15. Let g(l) = -61*l**3 - 14*l**2 - 29. Let q(h) = -5*f(h) - 3*g(h). Find the third derivative of q(y) wrt y.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 66 = -2*y, y + 265 + 47 = -5*r. Let w(t) = t**2 - 16*t - 22. Let x be w(15). Let z = x - r. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n**5 + 5*n**4 + 5*n**3 - 9*n. Let j(m) = -4*m**5 - 2*m**4 - 2*m**3 + 5*m. Let s(a) = 5*j(a) + 2*u(a). What is the second derivative of s(p) wrt p?\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, -13, -15, -17?\n\"Answer: -2*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1477, 1481, -1\/8, 3, 2 in decreasing order.\nAnswer: 1481, 1477, 3, 2, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/14 and 3 + -11 + (-63190)\/(-7860).\nAnswer: 5502","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/3 - 14*v**3\/3 + 35*v**2\/3 + 50*v\/3 = 0 for v.\nAnswer: -1, 0, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 230.435 * 0.55\nAnswer: 126.73925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-711)\/4320 - (48\/(-12) - (-116)\/30)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 3*i + 2. Let q be j(2). Suppose -2 = -q*w + 2. Let a(k) = k**3. Let l(v) = -6*v**3 - 2*v**2 + 2*v. Calculate w*l(g) + 5*a(g).\nAnswer: -g**3 - 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0869 times -0.067055?\nAnswer: 0.0058270795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 13*s**8\/8 - 407*s**5\/60 + 2*s**2 - 285*s. What is the third derivative of c(y) wrt y?\nAnswer: 32760*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400 divided by 8?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u**3\/3 - 279862*u**2\/9 - 62192*u\/3 = 0. Calculate u.\nAnswer: -2\/3, 0, 93288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 477*m**5 - 2472*m**2 + 14078932*m wrt m?\nAnswer: 9540*m**3 - 4944","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**4\/3 - 5*n**3\/2 - 251*n**2 - 5*n. What is m(3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38862.44 millennia to months.\nAnswer: 466349280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -130\/2009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8*h**2 - 9. Let m(s) = 81 - 184 + 94 + 3*s - 7*s**2 - 3*s. What is -7*m(t) + 6*o(t)?\nAnswer: t**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + 4. Suppose v = -4*x + 57. What is the least common multiple of 9 and x?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0 - -8) + -6299 + 6252?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 5*v - 2*v)*(43*v**3 - 192*v + 192*v + 11*v**2 + 1).\nAnswer: 129*v**4 + 33*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.0516 - 1.5516. Let z = -0.018 + -22.982. Let l = z + 23.18. Put -3\/2, l, r in ascending order.\nAnswer: -3\/2, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, n: 11, q: 2, i: 1}. What is prob of sequence mmi?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 652*i**2 - 653*i. Give d(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, n: 5, q: 8}. Give prob of picking 2 q and 1 n.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from wwwwwuwuuwuu?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 2, 0 = -u + 6*u - z - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/10)\/((-3)\/4). Suppose -n = n - q. What is the common denominator of 61\/6 and 2430\/(-12)*n\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**3 + 1229*m**2 - 3678*m = 0?\nAnswer: 0, 3, 1226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595717 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 2*m - m - 43 - 28.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/11 (b) 1\/5 (c) -17\/8 (d) 454 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11933*c + 98924 wrt c.\nAnswer: 11933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34\/3? (a) 0.4 (b) -3\/4 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**3 + 77*g**2 + 27*g - 39. Determine h(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n + 10, 4*m - 7 = n. Let i be -1*(m + 2) - -2. Let a be (i\/6)\/(2\/(-40)). Solve -a = 3*k + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 21*r**2 - 26*r + 14. What is m(7)?\nAnswer: -854","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -810 divided by 3.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 525.297 kilometers?\nAnswer: 525297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -798 + 797.5. Which is the fourth biggest value? (a) 4\/3 (b) 0.5 (c) 11\/3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence noo when three letters picked without replacement from ooooonoon.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 + 1.37. Let i = 0.1328 + l. Round i to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 19*r. Suppose -3*t = -5*i - 285, -4*t - 4*i = -397 + 49. Let l = t + -36. What is the remainder when l is divided by w(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*o + 3*r, r + 10 + 14 = 2*o. Solve -3*c + 4*j = 31, -5*c + 13*j = 16*j + o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 6*t = -146 + 1286, -1444 = -5*d + 2*t. Calculate the smallest common multiple of d and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 5*m + 8. Let l be d(6). Suppose l*x + 21 = t + 4*t, 0 = 2*x + 4*t - 24. Suppose 4*j = x*j + 102. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1311*q**2 - 37 + 3*q - 679*q**2 - 12951*q**5 - 628*q**2 + 911*q**5 wrt q.\nAnswer: -722400*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12\/7 - -29\/21. Let v = 15.87 - 16. Let s = v + 0.23. Put j, s, 1 in increasing order.\nAnswer: j, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -733*y + 709*y. Let t be (75\/30)\/(1\/(-2)). Put y, 15, t in descending order.\nAnswer: 15, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12 - -8 - 563464\/(-4). Suppose 9*v = 6160938 + a. What is v rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/7 - 25\/7.\nAnswer: (h - 5)*(h + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*i = 923 + 5424 - 1461 + 4842 for i.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/14)\/(45\/42). Solve -k + 2\/5*p**2 + 2\/5*p = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-40)*((-10)\/14)\/(4446\/399)?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153750, -615006, -1383684, -2459718, -3843042, -5533590, -7531296?\nAnswer: -9836094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 7*w - 26 - 2*w - 6*w + 15*w.\nAnswer: w - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392534007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -16, 1\/3, 11, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.8 + 1.8. Let j = 0 + z. Let f = j + 9. Which is the third smallest value? (a) 0.3 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -562*p + 41. Suppose 8*j - 2 = 4*j + 5*q, -3*j - 3*q - 12 = 0. Is m(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -426 - -428. Let h be (2 - -1) + 0 - 0. Let b(j) = -j**3 - 3*j**2 - 3*j - 4. Let x be b(-3). Solve -h*u - k*u = x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84201.9 rounded to the nearest 100?\nAnswer: -84200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 + 14*r + 7. Let i(g) = g**2 + g - 2. Give 4*i(a) + u(a).\nAnswer: 7*a**2 + 18*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aazyyzzazayzaaazyz. Give prob of sequence aaya.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.668 to 1 decimal place.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 0, 140 in increasing order.\nAnswer: -6, 0, 2, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.18, -4, -266223?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 3*f - f + 4 + 0*f. Let b be m(-8). Let r = b - -10. Calculate the remainder when 8 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 9 = -861*y + 858*y, -f + 9 = -3*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4218 - ((-91)\/14 - 2\/(3 - 7)). Calculate the highest common divisor of s and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 25 = 10*q, 6 = 2*s - 2*q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 301699?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, e: 12, w: 1}. Give prob of sequence eeyw.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -172, -236, -316, -406, -500, -592?\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 59 - 176 - 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 3*s. Let n = 1 - 1. Let q = -3 + n. What is the remainder when y(q) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000191318 to six decimal places.\nAnswer: -0.000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 - 113. Let h(u) = u**3 + 8*u**2 - 12*u - 30. Determine h(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -4*j**3\/3 + 137. Let w(d) = 161*d**2. Give o(w(k)).\nAnswer: -103684*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -13. Suppose 5 = b - x. Solve 2*h + b = 5*k, -2*h + 0*h = 4*k - 26 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - -3*-3*sqrt(119)) + sqrt(119))\/sqrt(7) - (sqrt(153) + sqrt(153)*2 + 1)**2.\nAnswer: -1378 - 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**2 - y - 7. Let j(x) = -220*x**2 + 40*x + 305. Let q(k) = 45*b(k) + j(k). What is q(-4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 405 and 180?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 22952 and -183.9?\nAnswer: 23135.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**2\/4 - 13968615*z\/4 + 13968603 = 0.\nAnswer: 4, 4656201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w - 2*w - 2*w. Let y be k(2). Suppose -y*j - j = -12. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -270240 + 270252. Let f = 51 + 66. What is the remainder when f is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*y = -46, -19*y + 78 = -5*g - 17*y for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45146 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 82571, 82569, 82567, 82565, 82563?\n\"Answer: -2*o + 82573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 6 - (-6)\/2. Suppose -i*t - 5*t = -792. What is the highest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j. Suppose j = -5*c + 10*c. Suppose -p + c*p = -15. Solve 10 = i + 4*u - u, 2*i - u = -p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4670402 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 55 - 47 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1032705480?\nAnswer: 2, 3, 5, 19, 31, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24480 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/203275800 and 5\/26572.\nAnswer: 203275800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 306319974 and 10?\nAnswer: 1531599870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2551159245 to four dps.\nAnswer: 0.2551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2325\/(-475) + (-4)\/38. Let w(z) = -z**3 - 5*z**2 - 7*z - 35. Let g be w(l). Sort -1, -4, -3, g.\nAnswer: -4, -3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v + 10. Determine f(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 12:22 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25755617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) + (sqrt(99) - -2*sqrt(99)*6) - sqrt(99)))\/(sqrt(9) - sqrt(45)\/(sqrt(5)*1 + sqrt(5))).\nAnswer: 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-162)*-42)\/(35\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -33, -3, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30464 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**4 - 793162*q**3 - 1378*q**2 + 240*q.\nAnswer: -24*q - 4758972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 + z**5 + 0*z**5 - z**3 - z**5 + z**3 - 4*z**5 - z**5 + 3*z**5 + (2*z**2 + 0 + 0)*(-1 + 2*z**3 + 1) - 3*z**5 + 3*z**5 + 2*z**5.\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23240 = 2*w - 9*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*15\/(-18))\/((-16)\/(-32))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -3. Suppose 0*i - i + m = 0. Suppose 0 = -0*x - 2*x. Solve -3*b + b - i = x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**(-1)*f))**(-12\/7)*f**(-29)*(f\/f**(-1\/6))\/f)**(1\/14) assuming f is positive.\nAnswer: f**(-1355\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127\/20 + -33\/5. Let g be -1 - (-2 + (-2 - -3)). Which is smaller: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*t - 19, 3*b + 5 = 14. Suppose 0 = -h + t*h + 5*w - 2950, -4*w + 8 = 0. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + u - 4, -j - 1 = -5*u + 13. What is the nearest to j in 2\/9, 2\/23, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c91 (base 13) in base 2?\nAnswer: -1000011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 7\/351, -1\/3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13985 = 265*p + 15840 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2286373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193134?\nAnswer: 2, 3, 32189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3031958 + -0.1.\nAnswer: -0.4031958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3, 3*u - 8*u + 88 = -2*n. Suppose 0 = -82*s + 189 + 303. Calculate the highest common divisor of s and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5566*j**4 + 198*j**3 + 3364*j**2 - 567*j.\nAnswer: -133584*j + 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1226*r. Let z be g(-1). Let m = -473 + z. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2. Let v(b) be the first derivative of -32*b**2 - 6 - 16 - 10. Determine h(v(c)).\nAnswer: -4096*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 5:09 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l = -3*l - 54 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/35 at most -1\/86425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14953 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 7*l**2 - 25*l - 60. Let a be z(-5). Let v = -4 + 6. Suppose 16 = 4*b - v*y + 6*y, b = -3*y. Calculate the greatest common factor of b and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 n when three letters picked without replacement from sssfssssssnsffnss?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-32)\/(-20))\/(1\/15). Suppose -o = -0*o - a. Let f = 36 - o. What is the highest common divisor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 910 and 287105.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + x**2 + 4*x + 1. Let u be j(3). Let b = -14.68523 - 2.31477. Sort u, 2\/5, b in increasing order.\nAnswer: b, u, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 5*c - 27. Let o be v(6). Let n(m) = -10*m - 204. Let h be n(o). What is the highest common divisor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23\/20 + -3\/4. What is the third biggest value in q, -3\/4, 2\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*3*sqrt(66)*-3)\/(-3*(sqrt(294) + sqrt(294)*-3)))**2.\nAnswer: 891\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46392 = -5*y + 3*p, 4*p - 46399 = 43*y - 48*y. Suppose -2*g - 3*r + y = 0, 13*g + r - 9281 = 11*g. Round g to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 10:35 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14524250 is divided by 402.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20360213 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 b, and 1 y when three letters picked without replacement from wtnwmmnmbwtmmytnnm.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/(k*k**(-2\/21)*k))\/k)*k*k)\/k)\/k**(-4\/9)*(k**(-3\/4)\/k)\/(k\/(k\/k**(-2\/5))) assuming k is positive.\nAnswer: k**(3779\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 4*g - 5. Let k be v(4). Let f be (-2)\/k + 489\/15. Suppose -4*o - 1 = -f. Solve -2*z = -0 - o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1129 divided by -2\nAnswer: -1129\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffpc when four letters picked without replacement from {c: 1, p: 4, f: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7115613*z**2 + 9849861 wrt z?\nAnswer: 14231226*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2318?\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72 + 103. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -34, -5, 1, -4, -198662 in descending order.\nAnswer: 1, -3, -4, -5, -34, -198662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-2)\/6*-3). Suppose 2*c + 3*c - 345 = f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7b8a84 + 0?\nAnswer: -7b8a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:11 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -326116*r**2 + 123744 with respect to r.\nAnswer: -652232*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 - 230)*(-7*s - s + 3*s) to n*s + h and give n.\nAnswer: 1115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-20)*30\/36.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13959507, 13959506, 13959505?\n\"Answer: -y + 13959508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 551271 + 5986*v**3 - 11975*v - 6903*v + 5489*v - 551271 wrt v?\nAnswer: 35916*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003053947 rounded to six decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1109977136 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 425*z - 424*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 23a (base 11) to base 10\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - m - 6 + 6)*(0 - 3 + 4)*(4 - 2 + 0)*(3 + 1 - 2).\nAnswer: -4*m - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (6 - 2 - (0 + 6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 22*w - 5. Let n be q(-21). Suppose 0 = -y - 2*i + 12, -4*y - 5*i + 41 = -n. What is the highest common divisor of 24 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12561*r**3 - 25026*r**3 - 1 + 12512*r**3 + 0.\nAnswer: 47*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5\/3 + 2\/3*f**2 - 3*f = 0.\nAnswer: -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 1686.\nAnswer: 10116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/2 + 1242*v**2 - 9939*v\/8 + 2485\/8 = 0. What is v?\nAnswer: -2485, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 1)\/(8 - 9). Which is the biggest value? (a) g (b) -0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, x: 5, u: 2, q: 2, r: 2, v: 2}. What is prob of picking 2 q and 1 r?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.632 meters to millimeters.\nAnswer: 37632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lqlllqu?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*b**4 + 26 - b - 39\/2*b**2 - 23\/4*b**3.\nAnswer: (b - 26)*(b - 1)*(b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7474 is divided by 384.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**6\/10 + c**5\/20 + c**4\/2 - c**3\/2 - c**2. Solve l(g) = 0 for g.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/5244 and -123\/20?\nAnswer: 26220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1098)\/13542*(-4)\/(-8)*2*(-1)\/3?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 3597, -4 in descending order.\nAnswer: 3597, 6, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 576140 and 86.\nAnswer: 49548040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4748 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5649 and 5523.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - 8*q**2 + 4*q. Let a(h) = -h**3 - 7*h**2 + 3*h + 1. Let l(m) = -3*a(m) + 2*p(m). Let x be 0 - (-4)\/(2 - 1). Does 2 divide l(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/7, 1.1, -1\/7, 2\/596483?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 2\/311, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f. Let s(r) = -4*r + 1. Let a(n) = 5782*n + 5. Let v(c) = 3*a(c) - 15*s(c). Give v(k(d)).\nAnswer: 34812*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 400959?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 1 - 1)*(-4*a + 2*a + 3*a)*(-49*a - 45*a + 81*a).\nAnswer: -26*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*k**2 + 301 + 167*k**2 - 301.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -10. Let u(b) = -b**2 + 8*b + 3. Let x be u(8). Suppose 0*h = -4*h + 4*v + 40, 0 = -x*v + 12. Calculate the remainder when h is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30.2 - 30. What is the nearest to 2 in 2\/5, g, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-5) + 89135\/25. What are the prime factors of z\/11 - 68\/374?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -11. Let c = -28 - -29. Suppose 5 - c = 2*q. Solve 0 = 5*p - q + n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56 - 58) + (0 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 6*z + 2. Let t be j(6). Suppose 2 = 89*g - 88*g. Solve -b = -t*b - g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -461635 - -461634.6. Let o be (-2)\/8 - (-29)\/4. Let f = -0.05 - 4.95. What is the fourth smallest value in r, f, o, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2256 + -15847\/7. Find the common denominator of -30 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9d1 (base 14) to base 2\nAnswer: -11110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5156518 is divided by 139365.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*sqrt(147)\/sqrt(3) - sqrt(7056)*2)\/(sqrt(175) + sqrt(175) + (sqrt(175) - (sqrt(175) - -4*2*sqrt(175)))).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.16, 179\/7?\nAnswer: 179\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Let s be a - (6 - 5) - (15 + 1). Sort 3, 4, -3, s in decreasing order.\nAnswer: 4, 3, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-585)\/(-12))*3\/2\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -0.5, -278, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113361, 113344, 113317, 113280, 113233, 113176, 113109?\nAnswer: 113032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**3 - 2*r**2 - 3*r. Let g be n(3). Suppose g = 9*y - 6*y. Find the second derivative of -y*t**4 + 18*t**4 - 6*t**5 + 5*t wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((5*(sqrt(567) - -2*sqrt(567)) + -3)*-2)**2 + -4).\nAnswer: -16200*sqrt(7) + 2551660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -378 + 377.36. Let n = 1.36 - z. Sort -2, n, 2\/11.\nAnswer: -2, 2\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -36*i - 316 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) 16.39 (c) -5 (d) -2\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/(-21) - (-1 - -3). Factor 0*h - n*h**2 + 0 + 2\/7*h**3.\nAnswer: 2*h**2*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140139 is divided by 182.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1768 and 3410914?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 1. Let h be v(13). What are the prime factors of 0 + 19*2 + -14 + h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(76)*-5 + (sqrt(76) - 2*sqrt(76)*2)))\/((sqrt(576) + 2*sqrt(576) - sqrt(576)) + sqrt(576) - 3*sqrt(16)\/sqrt(4)).\nAnswer: 14*sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**4\/12 + a**3\/3 + 5*a**2\/2 + 410*a - 1. Determine p(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36502309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 8*i + 1. Let n be s(-8). Let x(q) = q + 1. Let g(u) = -4*u**2 - 28*u - 20 - 8 + 8. Let r(h) = n*g(h) + 20*x(h). Factor r(p).\nAnswer: -4*p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)\/(h*h\/(h**(-4)\/h)))\/((h*h*h*h\/(h\/(h\/h**1)*h))\/h)**25*((h*h**(-3\/2))\/(h**(2\/17)*h))**(-3\/2) assuming h is positive.\nAnswer: h**(-9919\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 5. Let g be (-19)\/(-2 - f)*3. Suppose 83 = 4*h - g. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 3:43 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -104 + 32?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 924750 and 39150.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -44539?\nAnswer: -5\/44539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 2*m = 284076, -5*w + 44793 = -2*m - 158115. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -121 - -68. Let b = -53.16 - j. Is 3 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413 = -6*u + 449 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/978 or 1?\nAnswer: 1\/978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 + 772.\nAnswer: 770.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, 1, 10, 23?\n\"Answer: 2*x**2 - x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**3 - l + l + 4.\nAnswer: 9*l**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.6 + 2.74. Let z = -0.14 + k. Put 2\/13, z, 3 in increasing order.\nAnswer: z, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 3:26 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -1\/9*m**3 - m + 1\/18*m**4 + 0 - 2\/3*m**2. Factor s(v).\nAnswer: 2*(v - 2)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1196, -1198, -1194, -1178, -1144?\n\"Answer: v**3 - 3*v**2 - 1194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czv when three letters picked without replacement from vscwswsszv?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3819)\/(-268) - 15*1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 71. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 11*b - 1. Let j be l(1). Let r = 47 + j. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6766.66 to the nearest one hundred.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109 by -262.\nAnswer: -109\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*-1*(-1130)\/(-40). What is u rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*p**3\/8 - 2506182*p**2 - 257760495*p\/8 - 414248175\/4 = 0 for p.\nAnswer: -136378, -45\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.08281 rounded to 3 dps?\nAnswer: -1.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541 is divided by 58?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 2*c**3\/3 - 28*c**2 - 490*c + 2967. Find m such that o(m) = 0.\nAnswer: -7, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89870900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.77 - -10.27. Which is the third biggest value? (a) 2\/5 (b) v (c) 67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*c**3 + 34*c**3 - 82*c**3)*(-20*c - 5*c - 29 + 30).\nAnswer: 1950*c**4 - 78*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/4*(-10 - (-1628)\/165) and -40\/39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-16) + 4243120\/128)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 5, v: 2, g: 3}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 213721602 + -19783\nAnswer: 213701819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-57)\/(-2)*((-98)\/21 - -6). Calculate the greatest common factor of 95 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1708 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556597182?\nAnswer: 2, 3, 92766197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 106 and 139.\nAnswer: 14734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*1)\/(-1)*54\/(-40 - -58). Solve 4*l - 3*d = -2*d + 7, j*l = 5*d + 18 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1452 - -1948. What is the remainder when 505 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29856, -4, -3, 4 in decreasing order.\nAnswer: 29856, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 4671.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1090292*a**5 - 2*a**2 - 43557*a + 2.\nAnswer: -65417520*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3091 + -12297\/4. Let i = -37693\/4 + 9728. Let h = -641\/2 + i. Calculate the common denominator of h and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/8 - 10\/(-40). Let r(u) = -s*u - 24*u + 5*u - 28*u. Let b(a) = -7*a. Give -15*b(m) + 2*r(m).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlrmrmrlllrlrrrr. What is prob of sequence rlml?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f + 56. Let l(s) = -108*s - 106. Let p(u) = 2*a(u) + l(u). What is p(1)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millisecond in microseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 2*k**2 + k - 3. Let g(a) = a**3 + 2*a**2 + a - 4. Suppose 0 = -4*n + 20, 2*t - 4*n + 28 = -0*t. Determine t*o(c) + 3*g(c).\nAnswer: -c**3 - 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*l - 6*l - 694, 3*l - 1670 = -5*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4432 - -300. Suppose -2*g + m = -13395, g + 2*m - m - 6690 = 0. Let f = g + r. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*d = 255*d + 3*z + 18, -4*d + 2*z = -12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 414179384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0072363045 rounded to five dps?\nAnswer: 0.00724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 2495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**6\/720 + n**5\/24 - n**4\/6 - 2*n. Let d(o) be the third derivative of l(o). What is the units digit of d(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200590.72 rounded to the nearest ten?\nAnswer: -200590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(28) + -2*sqrt(28) + ((sqrt(140)*-2)\/sqrt(4))\/sqrt(5))**2*-2.\nAnswer: -256 - 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -184?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -127\/2. Let t(r) be the second derivative of 4\/15*r**6 + 0 - 2\/3*r**3 + 4*r - 7\/6*r**4 + 0*r**2 + v*r**5. Factor t(w).\nAnswer: 2*w*(w - 1)*(w + 2)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.37 times -22?\nAnswer: 30.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 8:04 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 8*b**2 + 2*b + 4. Give y(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:41 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447945.\nAnswer: 3, 5, 29863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3992012 and 36477.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i - 5*i)*(-9*i + 4*i - 12*i).\nAnswer: 51*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) - sqrt(38)\/sqrt(2)) + -3)**2 - (sqrt(19) + sqrt(228)\/sqrt(3) + sqrt(19)))*4.\nAnswer: -16*sqrt(19) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4*t**2 - 5027*c**3*t**3 + 424*c**3 + 520265*c**2*t**3 - 3*c*t**3 - 2*t**2 wrt c?\nAnswer: 24*c*t**2 - 30162*t**3 + 2544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 - -68. Sort -3, -117, s in decreasing order.\nAnswer: s, -3, -117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*h + 12, a + h = 2 + 2. Find the second derivative of -11*d**a - 11*d**3 - 5*d + 11*d**3 wrt d.\nAnswer: -132*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.62 + -25.62. Which is the second biggest value? (a) 1 (b) 3 (c) 2\/11 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1007 - -763. List the prime factors of (-420)\/(-5)*(h\/(-16) + -1).\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 1. Let w(u) = -u**3 - 11*u + 6. Let k(l) = -l**2 + 12*l + 3. Let d be k(11). Suppose -s + d = h + 2*h, h = -4*s + 45. Give s*r(t) - 2*w(t).\nAnswer: 2*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-5 + (-702)\/(-132) - 16\/(-88)). Let n(p) = -21*p - 7. What is n(m)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 18 = 19*k, -417 = -b - 3*k. What is the highest common divisor of 87 and b?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3922, 6349, 8800, 11287, 13822, 16417, 19084?\n\"Answer: 2*n**3 + 2413*n + 1507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34149\/11972 - 579\/164. Find the common denominator of a and -67\/2.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2996*o**3 - 22*o**2 + 1197*o. Let x(f) = 1498*f**3 + 12*f**2 - 598*f. Let y(l) = 11*x(l) + 6*z(l). What is the second derivative of y(w) wrt w?\nAnswer: -8988*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let f(g) be the first derivative of 0*g**4 + 3 + 1\/60*g**5 + 11\/2*g**2 + 0*g**3 + 0*g. Let d(i) be the second derivative of f(i). What is x(d(u))?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 23 = -14*u. Suppose -2*g + u*g = 185. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45356 and 41992?\nAnswer: 16418872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 6:33 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32529.232 rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 839670.462 + -837662.04799808. Let z = w - 2004.514. Let h = z - 3.9. Round h to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -11*g**5\/60 - 7*g**2 - g + 7. Let o(h) = -7*h - 6. Give c(o(r)).\nAnswer: -539*r**2 - 924*r - 396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*s**2)*(31*s**2 + 30*s**2 - 40*s**2) - s**4 - s**4 + s**4 + s**4 - 2*s**4 + 3*s**4 + (-s + s**2 + s)*(2 + s**2 - 2).\nAnswer: -40*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000087048228 rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2. Let o(p) = -31*p**2 + 12*p - 4. Let j(b) = -92*b**2 + 43*b - 14. Let a(m) = -2*j(m) + 7*o(m). What is d(a(v))?\nAnswer: -1089*v**4 - 132*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**5 + 5933*w**4 + 7*w**3 + 203661*w wrt w?\nAnswer: -40*w**3 + 71196*w**2 + 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 + 21*m - 23. Let t(n) = -n**3 - 5*n**2 - 30*n + 24. Calculate 3*q(d) + 2*t(d).\nAnswer: -2*d**3 + 2*d**2 + 3*d - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3400 by 200.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3964802?\nAnswer: 2, 1982401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 3*s + 2. What is x(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 27. Let d be -1 + o + (-4 - -48). Let i = 60 - d. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 3 = -5*h - 2*s, 4*h - 24 = 5*s. Let o = 174 - 172. What is the smallest common multiple of o and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 44*c - 45. Let j be o(35). Factor 132*u - 195 + 5*u**3 + 45*u**2 - 17*u + j.\nAnswer: 5*(u + 1)*(u + 3)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1129*b + 10165. Determine f(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/4))\/m)**(-21) assuming m is positive.\nAnswer: m**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-11 - 22) - 14) + 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*f*m**5 + 14897*a*f*m**4 + 576*a*m + 4*a - 18*f wrt m?\nAnswer: 40*a*f*m**3 + 178764*a*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*1*1 - sqrt(21)\/sqrt(28)) + 2.\nAnswer: sqrt(3)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-4)*q))\/q)**(-43)\/((q**(-1\/8)*q)\/q**(-7\/2)) assuming q is positive.\nAnswer: q**(-723\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 (base 10) in base 11?\nAnswer: 35a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10320960, -10320965, -10320980, -10321011, -10321064, -10321145?\nAnswer: -10321260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2. Let n(p) be the first derivative of -2*p**3\/3 - 12. What is g(n(b))?\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 0.08, 1\/5, 0.11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 6*n - 60 = 0. Let d(c) = 5*c + 9. What are the prime factors of d(n)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 8*g**2 - 7*g - 1. Let y be 5 - (-4 + 3 + -1). Let m be h(y). List the prime factors of (-1 + 38)\/(m\/(-1)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/(-15) - -4) + 98\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4005 times -0.3?\nAnswer: 1201.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2. Let v(g) = 10*g**2 + g - 1. What is 7*n(h) + 2*v(h)?\nAnswer: -h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2044062, 2044066, 2044070?\nAnswer: 2044074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -7*o**6\/900 - 3*o**5\/100 - o**4\/30 - 7*o**3\/3 + 15. Let h(j) be the third derivative of g(j). Suppose h(i) = 0. Calculate i.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let y = -1.68 - -1.62. What is the third smallest value in y, -2\/7, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*b + 140*b - 4*l - 336, -3*l + 595 = 2*b. Solve 38*c = -80 + b for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 294278 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -89, 120 in descending order.\nAnswer: 120, 6, -3, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 7. Let a be l(-5). Solve 0*u - 8 = -5*m - a*u, 5*u = m + 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/7*14\/21. What is the closest to m in -1, 4\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**3\/6 + 2*q**2 - 3*q. Is b(9) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23604 and 12852?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a**2 + 48*a + 14. List the prime factors of o(-12).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48027?\nAnswer: 3, 7, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/f**0*f)\/f))**37*(f\/(f*f\/(f\/(((f**4*f)\/f)\/f))*f))\/(f\/(f**4*f)) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-4 + 1)) + -345 + 353?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(7 - 6) - (1 - 15). Calculate the remainder when 28 is divided by 9\/s + 111\/12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2))**(2\/23) assuming p is positive.\nAnswer: p**(-4\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 3}. What is prob of picking 2 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.26 + 27.74. Let h = f + -27.91. Let r = h + -0.09222. Round r to four decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -34544820, -69089640, -103634460, -138179280, -172724100?\n\"Answer: -34544820*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-one halves of a meter?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 3. Suppose 2*b - 2*f + 4 = 16, -b + 2 = f. Suppose 0*v + 2*d = -3*v - 33, b*v + 44 = 5*d. Let h(x) = 16*x**2 - x - 16. Give v*u(a) + 2*h(a).\nAnswer: -a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 10, r: 2, u: 1}. Give prob of sequence ru.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1260 = -105*n + 42*n for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g + 13 - 46 + 22 + 18 - 8.\nAnswer: -22*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 52990 to the nearest one thousand.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17762.00015282 - 17762. Round w to 6 decimal places.\nAnswer: 0.000153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**5 + 508*k**4 + 30474*k**3 - 95008*k**2 + 64024*k = 0.\nAnswer: -151, -106, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdjdejej. Give prob of picking 1 j and 3 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 6367*a + 6372*a = -25, 0 = 3*d - 18*a - 27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-21) - 2)\/(2\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 94, 565, 1418, 2653?\n\"Answer: 191*h**2 - 102*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17518 + -6929. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 7:49 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2808 and 11544?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/3, 44.6, -1\/2, -1\/69, 66?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*i + 66 = -41, -4*u + 158 = i. Is 40 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -3, 5, -4\/3, 270?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lksl when four letters picked without replacement from sxlklxpsxxggkpgxpx.\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d + 214ae?\nAnswer: 21491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/100 and -53\/55?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*q**2 - 2*q**3 + 215*q**2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372250 is divided by 442.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 11445.3.\nAnswer: -22890.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 10*h**2. Let i be w(-1). Suppose 283 + i = n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*h - 80 = -107*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-12)*(-6)\/(-3))\/((6006\/(-5226))\/77).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*m + 1625 = 0, 3*m = 5*n - 8*n + 4899. Let z(v) = 659*v - 7. Let b be z(5). Let k = b - n. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*l + 214 = -5*l, -l = 2*g - 147. Calculate the remainder when g is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 2*y**2 + 3*y. Let j(t) = -5*t**3 + 6730*t**2 + 6840*t + 1690. Let w(k) = -j(k) + 25*x(k). Determine n, given that w(n) = 0.\nAnswer: -338, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/8 - 3\/60. Let x = 5 - 38\/7. Put z, 0.1, x in decreasing order.\nAnswer: z, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 (base 12) in base 16?\nAnswer: 28c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (26 - 3) + (-22 - (105 - 25))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 1 = -13. Suppose 0 = 2*c - 4*c - 3*j - 148, 4*j - 256 = 3*c. List the prime factors of l + -4 - c - 2.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, k: 5}. What is prob of picking 3 k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 3:18 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2098669.\nAnswer: 31, 67699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 147 = -189. Let t = o + -77. Suppose 21 = -4*c - t. Is c greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 123 = 4*a. Which is smaller: -2\/9 or a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(6 - 0)\/3. Let g = -2.9 + -0.1. Let d = g + 3. Which is the second smallest value? (a) 5 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1390155.\nAnswer: 3, 5, 13, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 795 = -0*r. Suppose -188 = 2*i - 0*i. Let w = i + r. What is the greatest common factor of w and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4499 by -99526.\nAnswer: 4499\/99526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**4\/24 - w**2\/2 + w. Let m(q) be the first derivative of l(q). Let r(n) = -103 + 103 + n**2 + 5*n**2. Determine r(m(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 329175 divided by 3\nAnswer: 109725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3 = -4*w, 6*w + 249466 - 249458 = w + 3*s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -511624 divided by 4.\nAnswer: -127906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*p - 228*p - 610*p - 3240 - 3802 = 0 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/17, -0.3, 16\/7, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 13*h**2 - 9*h + 13. What are the prime factors of d(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1254 = -1880. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.71 (b) -27.3 (c) 3\/5 (d) -5 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from byfyfyfffyfb?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7 - 3*p**3 + p**3 + p**3 + 11*p**2 - 9*p. Let c be w(10). Let v be (2 - 2) + c + -3. Is -1\/2 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36216 is divided by 7239?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10321231 + 3?\nAnswer: -10321222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -23*p - 7. Let x be j(14). Let r = x + 521. Suppose 0 = q - 5*q + r. What is the highest common divisor of 24 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 1109.\nAnswer: -998.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/25)\/((5*(-1)\/(-25))\/(-2))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1208223, -9666439, -32624457, -77332179, -151039507, -260996343?\nAnswer: -414452589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37253 - 37727 = 115*u. Is u bigger than -655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48142 - 22011 = -937*k - 17908 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**3\/3 - 6*h**2 + 27*h. What is m(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*b + 272*b = -242*b - 33 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(2 + sqrt(1088)))**2.\nAnswer: 288*sqrt(17) + 9830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c - 61?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7\/90 - 4\/45. Let q = -0.7 + -0.3. Let d = 0.6 + q. What is the biggest value in d, o, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 4, 321, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*k - 172 = 0, -w - 2*w + 3*k - 102 = 0. Let m be 10\/w - 570\/14. Is 0.1 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) 28 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d - 4. Let m be v(2). Suppose -4 + m = -o. Factor 0 + 2*t**o + 1\/2*t**3 + 2*t.\nAnswer: t*(t + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7907532*f**4 - 2012*f + 592 wrt f.\nAnswer: -94890384*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (9\/2)\/(53 + (-23452)\/440)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (10 + (-10 - -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 584, 1180, 1776?\nAnswer: 2372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 31 - 15 - 43. Let j(i) = -i - 55. What is 5*a(x) - 2*j(x)?\nAnswer: 2*x - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + b + 0*b)*(b + 8 - 8) + (-1 + 2 - 3)*(-b**2 + 0*b**2 + 3*b**2) - 168*b**2 - 55*b**2 + 70*b**2 as q*b**2 + p + t*b and give q.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46362959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -51*i + 10. Determine b(-4).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*l + 63*l = 26*l + 360. Solve a - 16 = -4*m, l + 2 = m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 14*b**2 - 126*b + 27. Calculate a(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2809410341 to the nearest integer?\nAnswer: 53004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-8)*((-1768)\/(-195))\/(-4)*10\/(-8).\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/70 and -29\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 3*o**2 + o + 1. Let x be c(3). Let n(l) = 2*l**2 + 48*l - 288. Let u be n(5). Solve -x*k + s - 12 = 0, 3*s = 5*k - u*s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -1. Let h = y + 8.3. Which is the second smallest value? (a) h (b) 4 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 347348 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -8. Suppose -4*g = -s*g + 24. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/40)\/(2\/10). Suppose 4*l + 0*y = g*y - 10, 5*l = 5*y - 15. Is 2\/17 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1 = 27. Let o(a) = 2*a - 5. What is the units digit of o(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -516*k**5 - 170*k**5 + 2039*k**5 - 456*k + 485*k**5 + 1620*k**5 wrt k?\nAnswer: 69160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 1, -11, -37, -83, -155, -259, -401?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 12 = -2*s - 2, -5 = -5*s + 2*t. Suppose 2 + 1 = 3*m + s*v, 3*m - 11 = -v. Sort m, 3, 0 in increasing order.\nAnswer: 0, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(6*(-52)\/(-780))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 16*s**2 - 2\/15*s**7 + 4\/3*s**4 + 3 + 0*s**3 + 0*s + 1\/84*s**8 + 7\/15*s**5 - 3\/10*s**6. Solve f(q) = 0 for q.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 5:05 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 230, 223, 214, 203?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20\/29 + 47\/58. Which is the closest to -0.02? (a) 5 (b) -0.4 (c) y (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrhrkrllkllrklkrl. What is prob of picking 1 r and 2 l?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2*h - h)*(18*h**3 + 11*h**3 + 4*h**3 + (3*h - 5*h + 0*h)*(5*h**2 - 3*h**2 - 5*h**2)).\nAnswer: -78*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/10670 and -46\/1067?\nAnswer: 10670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 44164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (17 + -9 - 9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 0.725567\nAnswer: -10.274433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -38*k**2 + 0 - k + 0*k**3 - 5\/6*k**4. Let d(y) = y**2. Calculate d(l(x)).\nAnswer: 400*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8514 - -0.035?\nAnswer: -0.8164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3)\/w*w**(-11))**(-29) assuming w is positive.\nAnswer: w**(986\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2854 + 25684\/9. Sort 3, 0.2, d, -31.\nAnswer: -31, d, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -97922, -195880, -293828, -391760, -489670, -587552?\n\"Answer: j**3 - j**2 - 97962*j + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3)*(-2 + 10 + 9)*(-89*x - 4*x**3 + 182*x - 96*x).\nAnswer: 204*x**3 + 153*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38960190?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95759 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -24. Put 2, l, 0.5 in descending order.\nAnswer: 2, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 2*q + 1. Let g(a) = 9*a**2 + 16*a - 4. Let v(h) = 3*d(h) + g(h). What is the smallest common multiple of v(1) and 35?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -507527, -1015028, -1522523, -2030012, -2537495?\nAnswer: -3044972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*b + 12, 1234*p - 1232*p - 2*b = 14. What is the greatest common factor of 8452 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -535 = -28*x + 4197. Suppose 618 = -x*t + 171*t. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/sqrt(72)*-3.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10683 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68\/245 - -6\/49. Let o = 22 + -112\/5. Let s = -55 - -54.8. Sort o, p, s in descending order.\nAnswer: p, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 2. Suppose 0 = 5*p - 1 - 19. Let v(k) = k**2 - 5*k + 6. Let y be v(p). What is q(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24659.\nAnswer: 24659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -145 (b) -5 (c) -2\/13 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 4 = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -2 (c) -75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 3*u - 3, -40 = -2*j - 3*j + 2*u. Let k = j - -18. What is the common denominator of -29\/14 and (-29)\/5*(-10)\/k?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 26. Let k be v(-4). Let n(y) = -31*y**3 + 56*y**3 + 4 - k*y**3. Let i be 1\/((7\/3)\/(-7)). Let c(s) = s**3 - 1. Determine i*n(g) - 12*c(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19806?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 3*q + 6, -15*q = -20*q - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1272 by -106.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1160*u + 380*u - 3*u**2 - 3 + u**2.\nAnswer: -2*u**2 - 780*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*k = 5, 5*w - 2*k - 7 = 8. Suppose w = 2*b - 9. Suppose 3*x - 3*f + 1131 = 0, -2*x + b*f = 4*f + 751. Round x to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 3, l: 6, z: 6}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3866 less than -1353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1208868 by 4.\nAnswer: 302217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*v + 42. Let j = 15977\/1484 - 6\/371. What is the common denominator of 8\/4 + 29\/v and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 765803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbmgtvggtpmvptg. What is prob of picking 1 m, 1 p, 1 b, and 1 g?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -28) + 15 - 38.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**5\/30 - 5*q**2. Let z(c) = -6*c**2 + 16. Let l(i) = i**2 - 3. Let k(f) = 16*l(f) + 3*z(f). What is k(s(d))?\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -383, 5?\nAnswer: -383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a**2 - 17472426*a + 11648280 = 0. Calculate a.\nAnswer: 2\/3, 1941380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*f**3 + 66*f**3 + 13*f**3 + 2 - 2*f**3.\nAnswer: 116*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, 0.2, 0, -3\/4 in decreasing order.\nAnswer: 1.1, 0.2, 0, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -72423, -72422, -72421, -72420, -72419?\n\"Answer: w - 72424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, k: 2}. What is prob of sequence fkf?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1667397 divided by -3.\nAnswer: 555799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28387 + 28390. Let c = -1 + 1. Suppose c = 4*u + 11 + 9, -4*u + 35 = 5*r. Solve g*j + 4 = -r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 36*v + 14. What is q(-33)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95401, -95247, -95093, -94939, -94785?\nAnswer: -94631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 68 - 56 = 0. Let z(w) = w**3 - w**2 - 3. Calculate the smallest common multiple of 18 and z(f).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(816) - (sqrt(816) + 3*(sqrt(816) + 5*sqrt(816) + sqrt(816))))\/(sqrt(30)\/((sqrt(80)*-1)\/sqrt(8))).\nAnswer: 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 131, 489, 1185, 2333?\nAnswer: 4047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -b3b7 (base 12) to base 14\nAnswer: -71c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 274997*g - 24. Let p be c(-8). What is p rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10371, 10373, 10375, 10377?\n\"Answer: 2*x + 10369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 4476330.\nAnswer: -895266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1878 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 362 by 262404.\nAnswer: 181\/131202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 7*i**6\/120 - i**5\/4 - 11*i**2 - 36*i. Let h(p) be the first derivative of n(p). What is the third derivative of h(x) wrt x?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t - 5*s + 50 = 0, -3*t - s + 49 = 0. Let f be (-4)\/10*t\/(-6). Let m(o) = 0*o**2 + 4*o**2 - 15*o + 14*o. What is m(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 3*k**2 - 3*k - 8. Let q be 39\/6 + 6\/12. Suppose 17 = -q*i - 4. Let t be d(i). Solve -2*r - 5 = t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40422353 (base 6) to base 4\nAnswer: 10121233131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kptapgff. Give prob of picking 1 g and 2 f.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/2 - 7*v**2\/2 - 85*v\/2 + 91\/2 = 0. Calculate v.\nAnswer: -7, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 11*f**2 - 30*f + 18. Suppose -10*y + 78 = -4*y. Let x be s(y). Let z be ((-1)\/((-6)\/x))\/(44\/99). Which is smaller: -13 or z?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 2\/245 (c) 0.07 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(2\/5))\/v)**(-1\/17))**(-49\/4) assuming v is positive.\nAnswer: v**(49\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 7191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1488 + -83?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47068802 and 913.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + (52 - 56) + -2 + 1.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d - 5 - 19*d + 38*d + 5.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 21, 49, 93, 153?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-2 + 3) - -127. Suppose u = -4*u - p. Calculate the common denominator of 42\/(-48) + 2 + -1 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28568000 rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-35)\/20)\/((-9)\/(-4) + -2) - -55436 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-520)\/(-91) + 4\/14. Let z = 11 - v. Suppose -z*x = -2*c + 24, x - 8 - 18 = -c. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 11*v - 11. Let i(s) = -s**2 - 5*s - 5. Let c(d) = 9*i(d) - 4*q(d). Let u be -1*(-1 - (-1 - 1)). Let t be u\/(-1*2\/(-2)). What is c(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d - 29*d - 115*d**2 - 74 + 59*d.\nAnswer: -115*d**2 - 2*d - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 44*p = -240 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -368033, -368022, -368011, -368000, -367989?\n\"Answer: 11*w - 368044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 207298164?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 211 + 1624?\nAnswer: 2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -l + 41, 3*i - 4*l - 25 = 1. Let b be (-60)\/3*(-4)\/i. Let g be 0 + -2 + b + -1. Solve -q + g*q - 8 = -h, 4*h = 4*q + 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 308*s**2\/9 + 3704*s\/3.\nAnswer: 4*s*(77*s + 2778)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 1.8308387.\nAnswer: -1.7308387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 352993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11760391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 11*j**2 + 2607*j + 2601. Determine n(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 761014500 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14959 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 + 2*s**2 + 17*s**2 + 8*s**2 + 3*s**2.\nAnswer: 38*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9975.\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 3187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((1\/3)\/((-15)\/45))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10970*u + 6183*u - 148397 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 829*z + 10444 = 1535*z + 945*z - 50643 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 976?\nAnswer: 10736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -3*u**6\/10 - 7*u**4\/4 + 10*u. Let n(a) = a**4. Let r(b) = -12*n(b) - p(b). What is the third derivative of r(x) wrt x?\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 3 + (0 - (4 - -5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 126 = -3*k - 4*m, -3*k + m = -126. Let q be (1\/2)\/((-2)\/40). Let b = q + k. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 413587 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63477.4nm in meters?\nAnswer: 0.0000634774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*r + 1144 = 228*r + 554*d, 4*d = 3*r - 46 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/(-5))\/(11607\/1290 - 9)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x. Let b(v) = 2*v**2 + 50*v. Give b(c(h)).\nAnswer: 8*h**2 + 100*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203047 is divided by 22552.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1964*d**5 - 2862*d**5 + 3653*d**5 + (-4*d**2 + 4*d**2 + d**2)*(-1 - 2*d**3 + 1) - d**5 - 5 + 5.\nAnswer: -1176*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 + 76. Let z = -33 + 34. Which is the closest to -5? (a) l (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/8 - 335*n**2\/8 + 14375*n\/2.\nAnswer: -n*(n - 125)*(n + 460)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3*(sqrt(363) + 1))**2 - (2*sqrt(363) + -5)) - (sqrt(528) + sqrt(528)*-2)\/(sqrt(44) - sqrt(1584)).\nAnswer: 4398*sqrt(3)\/5 + 16405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c**5 - 195042*c**4 - 455302*c**3 + 1148882*c**2 - 585260*c + 86704 = 0.\nAnswer: -4, 1\/3, 1, 10838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkhyk. What is prob of sequence kyh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36 - 35)*((1 - -2) + 0). Find the second derivative of 3*b - 74*b**4 + 392*b**3 - 392*b**z - 4 wrt b.\nAnswer: -888*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 2*m - 1. Suppose 0 = a - 4*l - 14, 3*a - l - 11 - 42 = 0. Let f be 12\/a - (-2)\/6. Calculate g(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43\/10 - 22\/5. What is the common denominator of r and 61\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7103, -7275, -7449, -7625?\n\"Answer: -a**2 - 169*a - 6933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/15 and 4\/(-4)*(-3)\/(120\/148).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -32*u**2 + 217*u - 426. What is j(2)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 312621443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 8 = 1. Let u(q) = 13*q + 1. Calculate u(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 195 + -190. Suppose -2*u = -4*u + t*i + 370, -5*u + 991 = 4*i. Which is bigger: 194 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2965*c**2. Let g be a(1). Calculate the common denominator of g\/350 - (-2)\/5 and -79\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {j: 5, q: 11}.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -9872\nAnswer: 3\/9872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -695, -487, -171, 253, 785, 1425?\nAnswer: 2173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 + 24 + -12 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = -5*z + 6*c + 60, 7 = 3*z - 4*c. Let u(j) be the first derivative of -48*j**2 - 8*j**3 - 1\/2*j**4 + z - 128*j. Factor u(a).\nAnswer: -2*(a + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - t - 12608 = 0, 0*t = -g - 3*t + 4196. Suppose 4*s = -17306 + g. Let u = s - -59009\/18. Calculate the common denominator of 45\/16 and u.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 4*t**2 + 2*t - 1. Let m = 2 + 1. Let l be (-8)\/m + 0 - (-3)\/(-9). What is b(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 - k - 293 - k - 370.\nAnswer: -2*k - 556","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.985 * 226.\nAnswer: -222.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.4 + -13.7. Let z = x - -37.1. Let h = 0.35 - 0.05. What is the biggest value in z, h, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 324144 + -324137. Let u = -1 - -6. Let y(s) = s**2 - 8*s - 2. Let z(l) = 2*l**2 - 17*l - 3. Let x(b) = u*y(b) - 2*z(b). Determine x(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x**(2\/11)*x*x)*x*x**(3\/4)\/x*x\/((x**(-5)\/x)\/x)*x*x*x*x\/x**2 assuming x is positive.\nAnswer: x**(465\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -140 - -379. Calculate the remainder when d is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 32.055. Let c = -0.055 + i. Let a = 6.5 - 7. What is the closest to 9 in -5, c, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 382*f**3*t**3 - 7*f**3*t - 2*f**2*t**3 - 35*f*t wrt t.\nAnswer: 2292*f**3*t - 12*f**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, z: 3}. Give prob of sequence yyz.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 348 and 2524.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -438, -880, -1322, -1764, -2206, -2648?\nAnswer: -3090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**4 + 8*b**3*m**2 - 10*b**2*m**2 + b*m**2 + 5*b + m**2 wrt b?\nAnswer: -24*b**2 + 48*b*m**2 - 20*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122201 (base 3) to base 14.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 975, 1930, 2895, 3876, 4879?\n\"Answer: s**3 - s**2 + 951*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 5, 14, 35, 74, 137?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*w - 6 + 208, 4*w - o = 278. Suppose w = 2*i - 372. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1697 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16230*r = 16413*r - 4758 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 577483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 46*b**2 + 259*b + 248. Give v(-51).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*w + 77*w - 152*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-70) + 2\/(-14). Let m be ((-5)\/2)\/(5\/(-10)). Suppose -3*x + 4*x = 5*u - 5, 5*u - m*x = 25. What is the nearest to 3 in t, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**3 - 2922*g**2 - 5835*g - 2916 = 0 for g.\nAnswer: -972, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 6:43 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (-5 + -16 - -15)) + 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*m - 8*j + 10*j, 4*j - 16 = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 962578 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 256517006554687201\/300942 + -852380214643. Let j = f - 6\/5573. Find the common denominator of 121\/6 and j.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20942.832 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/17 and 55\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34919\/6 - 5841. Let o = -1 - 1. What is the common denominator of o\/4*5\/12 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1796 - -1796.07. What is the closest to 1 in g, -4\/5, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**8\/3360 - t**7\/1260 - t**6\/360 + t**5\/60 + t**4\/6 + 3*t**2. Let h(r) be the second derivative of p(r). Factor h(x).\nAnswer: 2*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -84.3 (b) 0 (c) 1661 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/9 (b) 1\/528 (c) -111.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-1040))\/((-3)\/((-30)\/4))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*2\/(-6) - -5. Calculate the highest common divisor of 15 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -124*o**4 + 465004*o**3 + 12158824*o**2 - 392704*o = 0.\nAnswer: -26, 0, 1\/31, 3776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -6. Suppose 5*a = 3*y + 17, -a - 3 = -2*y - v. Let f(x) = 7*x + 10. Is f(a) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -33. Which is smaller: b or 6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5509 is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 829*g + 656*g + 771*g - 305*g - 201*g as q*g + k and give q.\nAnswer: 1750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 4 = -2*c + 4*l, -13*c + l - 6*l + 109 = -15 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 274*y - 236. What is the hundreds digit of a(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-four fifths of a centimeter?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*o = -1175*o - 2883*o - 159425 - 164446 for o.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32\/3, -0.5, -2.\nAnswer: -2, -0.5, 32\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 19647.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/9, 2\/3, 4, 2\/17, 0 in decreasing order.\nAnswer: 4, 16\/9, 2\/3, 2\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 45, -5, 3, -20, 1, -0.3, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -58 + 14*i + 67 + 133*i - 20*i. What is the hundreds digit of u(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u**2 - 2*u + 1. Suppose -g + 5*d = -0*g - 20, g + 3*d + 12 = 0. Let o(r) = 4*r - 3*r**2 + 1 - r**2 + g*r - 5*r. Determine -3*i(z) + 5*o(z).\nAnswer: z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 26. Let d be u(-22). Suppose -d*r - 17*r = -223881. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 3, 5, -300, 2, 6.\nAnswer: -300, 2, 3, 5, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/14))**(-5)*(z\/((z*z**(-34)*z)\/z))\/(z**(1\/21)\/z) assuming z is positive.\nAnswer: z**(1483\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*v - 4*z, 6*v + 2*z - 1 = v. Which is greater: 2 or v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0 (c) 6398421\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*l + 71, -3*t + 39 - 4 = 2*l. Suppose 0 = -5*m + 3*m + 10. Suppose -m*c - 546 = -11*c. Calculate the highest common divisor of t and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, r: 3}. What is prob of picking 1 r and 3 p?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 y, and 1 k when four letters picked without replacement from {y: 3, k: 2, h: 2, w: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -3\/2, 3, 223, 0, 0.53, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 + 124*l**4 + 7*l**3 - 118*l**4 - 3*l**2 + l - 4*l**2 - 6*l**3 to x*l**4 + o*l**2 + v*l + s*l**3 + g and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -494.6827 times -0.3\nAnswer: 148.40481","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Work out -1425157 + -313796.7.\nAnswer: -1738953.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 609525878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42438\/5 - 8488. What is the biggest value in -1\/37, x, -2\/43?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10161 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3198029 is divided by 319790?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 30909?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 8*m + 413. Let i be p(-50). Find the second derivative of 3*o - 14*o - 15*o + 3*o**5 + i*o**5 wrt o.\nAnswer: 320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-24) + (-362)\/(-12). Let y = -32 + f. Let h be (y + 4)\/(1\/6). What is the highest common divisor of 30 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5 = -3, -4*m + 3*z + 31 = 0. Let y(i) = 146*i + 11. What are the prime factors of y(m)?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/((-521)\/18235)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5 + 5 = 0. Suppose -o + 19 = -4*f, 3*f = 5*o - 1 - 26. Let l = j - o. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86*(-30 + 14003\/456) + (-11)\/132\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1533447*z**2 + 1533451*z**2 - 3066901*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 797513 and 0.1.\nAnswer: 79751.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36448207 is divided by 56.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (295\/413)\/((-4)\/14).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*u + 22 - 90 + 69 to c + o*u and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 23*k - 13. Suppose -24*o + 288 + 24 = 0. Let l(j) = -11*j + 6. What is o*l(z) + 6*v(z)?\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 46*o + 44*o + 3476 = 0, -o = 2*z - 6955. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 5:21 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 118153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 8 + 32 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-4 + 2\/1). Suppose 3*q - w = 1, -4*w - 8 = -4*q - w. Suppose 29*o - 7 = 80. Put y, q, 22, o in increasing order.\nAnswer: q, y, o, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-196)\/1274 - (-54)\/13. Let m be -24*(-5)\/(-2)*-1. Suppose -b + y*b = m. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 477*a - 31792 - 17816 for a.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002001 + -22211?\nAnswer: -10101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1235677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -2*g**3\/3 + 3*g**2\/2 - 4*g + 3. Let k(m) = 23*m + 325. Let r be k(-14). Determine b(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 2\/11, 15.0136?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/440 and -45\/112.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.207647 * -3.\nAnswer: -15.622941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.056 and 63.\nAnswer: 63.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.35240125 rounded to 4 dps?\nAnswer: 6.3524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.238312 * -530.\nAnswer: 656.30536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.09997 - 2.1. Round p to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19)\/4*(-19 - 5) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z + 2*z - 5*z - 8*z + 0*z - 2*z + (z + 1 - 1)*(1 + 2 - 2) - 7*z + 72*z - 153*z - 47*z - 122*z.\nAnswer: -267*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17952*p - 17957*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + (1*sqrt(425) - sqrt(17))**2.\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 1 - 4)*(2 - 4 + 0) + 64 - 1 + 21)*(-3*n**3 + 0*n**3 + n**3) as a*n**3 + l*n + r*n**2 + j and give a.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 + -59. Let q = x + -26. Let t be 2\/(-4)*(-5 - q). Solve j - 4*b - 5 = 0, -5*j + 3*b - 4 = t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**3 + n**2 + n - 1. Let s = 10 - 4. What is the lowest common multiple of i(1) and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m - 4*m**2 - 3 - m**2 + 2*m**3 + 0*m**2. Suppose 57*o = 61*o + 39 - 11. Let i(d) = -4*d**3 + 11*d**2 - 11*d + 7. Calculate o*q(j) - 3*i(j).\nAnswer: -2*j**3 + 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(-27)\/((q\/(q*q**1*q))\/(q**(1\/7)\/q))*((q**(3\/5)\/q)\/q**(-5\/6))**25 assuming q is positive.\nAnswer: q**(1637\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1338 = -119*s - 624 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-24) - 16\/6. Let s = 1 - b. Suppose 0 = -2*c - i + 70, -126 = -s*c + i - 26. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 23. Let d be l\/(-60) - 15\/(-4). What is the second derivative of -4*w + 3*w**d - w + 2*w**4 + 4*w wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 + 18 + z**4 + (2*z - 2*z + 2*z**3 + z)*(z + 2*z - 5*z) + 6*z**4 - z**4 - 3*z**4.\nAnswer: -z**4 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-5)*70\/28*-4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 11:46 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -509*y + 71956. Calculate a(138).\nAnswer: 1714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/24 + 847550\/(-17688)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmlmmllmmmm. What is prob of picking 3 m?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5011, 4802, 4439, 3922, 3251?\nAnswer: 2426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w - 29. Let u be i(-9). Suppose 4*y - 330 = -u. Suppose 14 = -4*n + y. Calculate the lowest common multiple of 12 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 16 = -16. Suppose a + 3*i = -11, 0*i - 11 = -w*a - i. Suppose 0 = -a*j - 16, 5*p - j = -3*j + 1787. 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: Let o(z) = z**3 + 36*z**2 + 70*z + 72. Calculate o(-34).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.3. Let s = 0.4 - 0.4. Let b = g + s. Which is greater: 1\/3 or b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 2*z + 160*z**3 - 55*z**3 as y + n*z**2 + s*z**3 + a*z and give s.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 13*g = -78. Let q be (g + 66 - 2) + -1. Is q greater than 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 19900 - 19764. Let y be 1 - ((-4)\/2 - 31). What is the highest common factor of s and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-851)\/(18\/(-99) - 1\/(-66)). Suppose -211*y + 205*y + q = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56650 is divided by 1223?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*c + 11*f - 7*f + 4733 = -782, 3*c + 55 = 2*f for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 - j**2 + 8*j**2 - 11*j**2 - 5*j**2 - j**2 + (-3*j + 5*j + 0*j)*(5*j - 2*j - j) - 1 + 1 - 3*j**2 - 2*j**2 - 2 + 2.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -140 (b) -2 (c) 5 (d) -4\/7 (e) -0.07 (f) 0.5 (g) 0.077\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 5*u**2 + 5*u + 6. Let x be f(6). Suppose 2*v = -x*v. Suppose -o + 6 = -v*o. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/285)\/(-2*(2\/20)\/((-80)\/(-100))).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*i - 4 = 0, 5*n = -0*n - i + 22. Let d = 15 + n. Calculate the greatest common divisor of d and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*y + 13*y + 2 - 37*y + 2*y**2 - y**3 to l*y**2 + r*y**3 + b*y + t and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/3, -0.4, 1\/57, 5, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1853, 3427, 4707, 5693, 6385, 6783?\nAnswer: 6887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -12 + (5 - (-3 - -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10584 - 10504. What is the greatest common factor of 22640 and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Suppose m = -v + 11. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhj when three letters picked without replacement from {i: 2, j: 3, u: 10, h: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/106356 and 115\/48.\nAnswer: 425424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 222, 6, 444 in descending order.\nAnswer: 444, 222, 72, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6, 3, 5, -1, -0.79, 3\/824?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 69*a**2 - 217*a + 465. What is m(-66)?\nAnswer: 1719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -131*q - 173*q. Suppose 5*x - 16 = -2*m - 0*m, -x = 5*m - 17. Factor 0 + 1\/2*k**4 + q*k + 2*k**2 + x*k**3.\nAnswer: k**2*(k + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 - 15 = -10*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2833097 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 206 (base 16) to base 5\nAnswer: 4033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25003.\nAnswer: 11, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33142, -66385, -99628, -132871, -166114?\n\"Answer: -33243*y + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60 + 48*v**2 - 5*v - 88*v**2 + 45*v**2.\nAnswer: 5*(v - 4)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 - 2 = -v, -6 = 2*s - 3*v. Let n be -2 - s\/(24\/(-82)). Let f = -25\/2 - n. What is the second smallest value in -3, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1077654008 to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -129054, -128608, -128166, -127728, -127294, -126864?\n\"Answer: -2*q**2 + 452*q - 129504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.084? (a) -0.5 (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 716600332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((147\/2)\/7). Let d = -230 - -232. Factor 4\/7 - 2\/7*i - w*i**d.\nAnswer: -2*(i - 1)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-36)*-3)\/(6\/16).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 8*y - 153. Suppose -4*w = 3*p + y, -9 = 3*p + 5*w + 4. Let j(t) = 3*t**2. What is j(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 5149848.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teheetyyttteybty. Give prob of picking 1 h and 3 t.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 22 = -2*s, 0 = -3*h + 28 + 16 - 50 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 13*g + 2803. Let i be q(56). Suppose f = u + 87, -2*f - 4*u - 182 = -4*f. Suppose -2*w + i - f = 0. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 13, 25, 41, 61, 85, 113?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 12:40 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5655400 rounded to the nearest one hundred thousand?\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2828.8 to the nearest ten.\nAnswer: -2830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 7651.49.\nAnswer: 2295.447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-4110.26456894\nAnswer: -4110.76456894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252881 is divided by 103.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 876\/(-1022)*(-1)\/2*-7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h = -4907 - 931. Sort -5, h, -1.\nAnswer: h, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4047 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 20*i**2 - 13*i - 439. What is k(22)?\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 3, k: 1, g: 6, m: 3, l: 5}. Give prob of sequence fk.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8042 (base 15) to base 13\nAnswer: c419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 23*v - 3952. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*o*r**2 + 12*o*r*y**2 + 10*o*r - 3*o*y**2 - r**2*y wrt y?\nAnswer: 24*o*r*y - 6*o*y - r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 6*u - 9. Let f be r(-6). What is the units digit of (1*3)\/(f\/315)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*a + 30, 3*a - 5*a + 6 = 5*q. Let v = a + -7. Let s = 0 + v. Solve -4 = -5*o + s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**7\/105 + q**6\/360 + q**5\/120 + 5*q**3\/6 + 25*q**2. Let m(c) be the first derivative of a(c). What is m(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3556 + 3564. Solve -5*y - 3*j = -h*j + 5, -5*j = 5*y + 35 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -93*c**2 + 2*c - 2. Let r(p) = 93*p**2 - 3*p + 3. Give 2*r(d) + 3*s(d).\nAnswer: -93*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -19*q**5\/20 - 29*q**3\/6 + 9*q. Find the second derivative of z(d) wrt d.\nAnswer: -114*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 10) + -35 + 22\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/10*90\/(-7))\/((-534)\/(-4984)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 12 = -3. Let r = -1 - f. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 21*d**2\/2 + 19*d + 204. Let v(x) = x**2 + 3*x - 4. Let p be v(-5). Is 12 a factor of a(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 222 - 222 - 37*n**2 as k*n + j + p*n**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0580364 - 0.601893?\nAnswer: -0.5438566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.13 + -0.13. Let t = -508 + 879. Let u = t + -377. Which is the nearest to u? (a) -2\/9 (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -4. Let w be 9 + -1 + (13 - 5680\/272). Put w, 2, z in ascending order.\nAnswer: z, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-7))**(-16)\/(s\/(s\/(s**(-2\/35)\/s))*s*s*s*s*s**16*s))**(-3\/28) assuming s is positive.\nAnswer: s**(-3993\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 483903112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 566911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2 + (0 + 1 + 2)*(2 + 0 + 0) - 1 - 3 + 3)*((5*g - 3*g - 4*g)*(4*g**3 - 5*g**3 - g**3) + 9*g**4 + 4*g**4 + 0*g**4 + 5*g**2 + 2*g**4 - 5*g**2).\nAnswer: 133*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(5)*2 - sqrt(5)) + (sqrt(150)\/sqrt(3))\/sqrt(10))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/576 and 71\/528.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2443 (base 7) to base 5\nAnswer: -12123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7828 = -1161*d - 9587 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*y - 5*v, 0 = 3*y - 4*v + v - 15. Let d be 45\/(-63) + y + 1. Let c be 0*(5 - 2)\/3. Are c and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 226 - 58. Calculate the greatest common factor of 24 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 o, and 1 c when four letters picked without replacement from {o: 2, s: 1, t: 3, c: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-13)*(-3614)\/834)\/(-8)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 175527522*n - 57447024.\nAnswer: 175527522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1837 + 1837 - 61*n)*(6 - 6 + 5*n)*(0*n**2 - 5*n**2 + 0*n**2).\nAnswer: 1525*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/19, -2\/21, 3, 8.1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.52 + -458.48. Let f = -467 - u. Which is the closest to -20? (a) f (b) -0.04 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 + -64. Suppose 0 = 4*g + p - 13. Suppose t - 3 = 0, -5*x + 0*t = -3*t - g. Which is smaller: 7\/10 or x?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -670*q**2*r**2 + 3*q**2 - 12*q*r + 5*r**2 - 3*r - 2 wrt r.\nAnswer: -1340*q**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -63147899.371.\nAnswer: 63147899.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.53 - -6.4. Let x = -0.37 + s. Let y = 0.07 + 6.93. What is the nearest to 0 in -4, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18814540 to the nearest integer?\nAnswer: 4338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/11)\/((-5)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.096 take away 0.1?\nAnswer: -0.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.5, -3.48, 0.9 in decreasing order.\nAnswer: 0.9, 0.5, -0.5, -3.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4110 (base 5) in base 7?\nAnswer: -1355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -3*t - 5 - 7, 2*t = 2*h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134 - 208. Let h = -70 - g. Solve 5*i + 2*s - 2 - 2 = 0, -4*i + h*s = -20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 6*l**2 - 6*l - 2. Suppose 3*s = 5*c - 30, -4*s - c - 7 - 10 = 0. Calculate the remainder when (-2)\/(-4)*(15 - 1) is divided by d(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.5 + 1.5. Let o(x) = -5*x + 4. Let w be o(5). Let g be (1 - 2)\/(w\/6). Which is the nearest to 0? (a) g (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*c + 6*c. Suppose -5*b + 0*b - 5*i + 10 = 0, -b + 2*i = 1. Put c, -5, b in increasing order.\nAnswer: -5, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**17)\/m)\/m)**19 assuming m is positive.\nAnswer: m**304","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5133340 plus -38?\nAnswer: 5133302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-4 - -7 - 0) - (4 + -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 460390 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*o + 118409 = 122637 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*s - 4 + 14 = 0, 2*y + 4*s - 4 = 0. Let p(z) = 2*z - 2. Let o be p(y). Let b(j) = -j + j + o*j. Let v(h) = 3*h. Give b(v(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 56 + 6?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 86062, -3\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 4. Let m = k + 5. Let f(i) = i**3 - 5*i**2 + 5*i - 5. Let s be f(m). Sort 5, -3, s.\nAnswer: -3, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5680 divided by 4.\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (41 + -46 - -9) + (1 - -9)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 133\/28 - (-1)\/4. Let o(q) = q**3 - 6*q**2 + 7*q - 7. Let s be o(u). Let z be ((-24)\/54)\/((-2)\/s). Sort 2\/11, z, -0.5 in descending order.\nAnswer: z, 2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 + 3*y**4 - 3*y**3 - 7*y**2 + 6*y.\nAnswer: y*(y - 1)**2*(y + 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1414 + -145643\/103. What is the closest to f in -0.3, 0.4, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*x = -7776, -7778 = 3*p - 6*p + x. Let m = p + -1783. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -37, -5, 0.3, -308?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/45 and -103\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffkkkkf. Give prob of sequence kkf.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*c**2*d*v - 2*c**2*v**2 - 5*c**2*v - 3959*c*v**2 - 2*d*v**2 - 113*d*v wrt v.\nAnswer: -4*c**2 - 7918*c - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 825\/(-7) + (-5)\/35. Which is smaller: c or -117?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyhhhyhhhyhhhhhyhy. Give prob of sequence yhhh.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.75 - -1.75. Let h be 2 + (-8)\/6 + -1. Put h, 1\/7, m in decreasing order.\nAnswer: m, 1\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13910734 times 2\nAnswer: -27821468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 448 = 0, -225 = -3*f - 2*v - 368 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 + 30337487135539\nAnswer: 30337487135538.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -603 by 14.\nAnswer: -603\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 86012 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from ysdyylllyylayl.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26972229.\nAnswer: 3, 19, 473197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59305676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 1 + 2. Suppose -5*x = -b + 2*b - 45, a*b = 2*x - 1. Calculate the smallest common multiple of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**5\/20 + h**3\/3 - 99*h**2\/2 - h + 7. Let d(w) be the second derivative of k(w). Let g(o) = 10*o. Determine g(d(t)).\nAnswer: -60*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7664920*x**2 - 2602264*x**2 + 1416920*x**2.\nAnswer: -8850264*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 9*y + 2. Let z be n(-8). Let s(v) = -20*v**2 + 11*v + 14. Let w(j) = -7*j**2 + 4*j + 5. Determine z*s(c) + 17*w(c).\nAnswer: c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4 + 432365*k**3 - 864741*k**2 - 3026573*k - 1729468 = 0.\nAnswer: -432367, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -12*k - 62. Let o be y(-6). Find the second derivative of 14*f**5 + 2*f**5 - 10 + 13*f + o wrt f.\nAnswer: 320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, n: 2, g: 7}. Give prob of picking 2 b and 1 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934293.\nAnswer: 3, 29, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 2. Let h be c(5). Let s(m) be the first derivative of -15*m**2\/2 + 6*m - 14. Is s(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 4*d - 2*g, 0 = d - 5*g - 21. Suppose -4*f = -5*z + 27, 3 = f + d. Let l(t) = t**3 - 5*t**2 + 10*t - 13. What are the prime factors of l(z)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23097668273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -9*a - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 98.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 525*x + 13. Let t(y) = 607*y + 14. Let f(n) = -7*i(n) + 6*t(n). Let z(r) = 50*r + 11. Calculate -8*f(a) - 5*z(a).\nAnswer: 14*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3 + 8*z**2 + 128*z - 384 = 0. What is z?\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 - 10*d + 9*d - 20*d in the form n*d + a*d**2 + z and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -211 - -217. Suppose 0 = 5*c + d*b - 2*b + 25, -3*b = 3*c + 15. Let r(v) = v**2 - v + 2. Let a be r(0). Put 1, c, -2, a in increasing order.\nAnswer: c, -2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -34*a**3 + 13*a**2 - 152*a - 1554. Is f(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.95 + -0.05. Let g = 0.4 - 0.8. Which is the closest to w? (a) 0 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7 (b) -2\/9 (c) -1 (d) -16 (e) 26666\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*u - 0. Suppose 3 + u = v. What is the smallest common multiple of 22 and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000028410302 rounded to six dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*g. Let s be (-2)\/4 + 39\/(-10) + 5. Factor -s*h**2 + g*h + 3\/5.\nAnswer: -3*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - 212*j - 27120. Calculate c(181).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -656\/1615 - -2\/323. Let r = 4.83 - 0.77. Let l = r + -0.06. What is the nearest to a in -0.5, l, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(125) - (-5*(-1 + sqrt(125)) - sqrt(125))) - (4 + sqrt(125)*-1)*5) + 0)**2 + -4.\nAnswer: -3240*sqrt(5) + 18725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 35984486.\nAnswer: -179922430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 327.816154 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 36*m**2 + 12. Let w be u(36). Let b = 30 - w. Calculate the greatest common factor of 126 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (2 - 21 - ((6 - -1) + -7))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5850 = 5*w - 5*r, -4*w = -0*w + 2*r - 4656. Suppose -2*b = -4*b + w. Suppose -148 = 5*v - b. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/75 - (-216)\/450\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 17*a**2 + 0 + 0*a**3 + 0*a + 1\/6*a**4. Let y(t) = t**2. What is y(f(s))?\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1448 - 7.7892. Let q = -7.98 + -0.02. Let m = q - l. Round m to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11268 = -760*l - 492*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 9*z**2 + 9*z - 8. Let r be t(8). Let h(q) = q**2 - q + 2. Let o be h(r). Determine j so that j**o + 3*j**2 - 2*j**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3*b = b, 3*b + 5 = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 22*w + 24840*w**2 - 25726*w**2 + 21*w in the form c*w + d + r*w**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -288, -2, 0 in descending order.\nAnswer: 3, 0, -2, -288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 471 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 3*u + 11 = -4, 0 = 5*i + 3*u - 125. Let f(t) = t**3 - 18*t**2 + 67*t - 2. What is the remainder when i is divided by f(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**4 - w**4 + 3*w**4 + (-5*w + 2*w + 0*w)*(w**3 + 2*w**3 + 3*w**3) in the form n*w + y*w**3 + d + a*w**2 + z*w**4 and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -560*w - 80*w - 392*w + 259*w in the form h + s*w and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -264 - -273. Suppose -2*o = 21 + 11. Let p = 32 + o. What is the remainder when p is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 2*l**2 - 2. Calculate t(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/24 - (-1886)\/72. Let q = 131\/6 - o. What is the common denominator of -101\/2 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/4 + 87*s**2\/4 + 33*s\/2 - 126.\nAnswer: 3*(s - 2)*(s + 3)*(s + 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvas when four letters picked without replacement from {v: 1, p: 1, x: 2, s: 1, z: 1, a: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -12*o - 8. Let q(d) = -4*d**2 + 5*d - 2. Let l be q(3). Let c = l - -45. What is the remainder when f(-6) is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 256\/40*5\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 149800 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3657*h + 2*h**3 - 12*h**2 - 22*h**2 - 2 - 3660*h to the form p + f*h**3 + s*h + i*h**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-3 - 1) - -11. Let r(y) = y - y + 0 - 9 + 2*y. Let v be r(s). Solve 4*i = -3*p - v, 3 = -5*p - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4)*b*b**(-2\/7)\/b)**(12\/19))**(-9\/5) assuming b is positive.\nAnswer: b**(648\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 2 (c) -1.5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 26. Suppose -20 = 5*v, 21*z - 392 = 16*z - 2*v. Calculate the smallest common multiple of 12 and (z\/n)\/(1\/(-18)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31933, -63871, -95819, -127783, -159769, -191783, -223831, -255919?\n\"Answer: -d**3 + d**2 - 31934*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, s: 3, z: 1, w: 1, k: 3, e: 2}. Give prob of sequence zk.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 591878536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -3 + 18 - (40 + -66)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2. Let k(q) = 3176*q - 72. Let s(t) = 46*t - 1. Let o(g) = -5*k(g) + 360*s(g). What is m(o(u))?\nAnswer: 462400*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-258)\/(-81) - 3)\/((-2662)\/(-132) - 21)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 938 and 30552.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-22) - (-24557576)\/(-209). Round i to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 4, p: 8, q: 2}. Give prob of picking 2 h and 1 q.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 6)\/(-2 + 3). Suppose -4*z + t*z - 45 = 0. Solve 0*y + 2*y - 5*i = 26, y = 3*i + z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 375, 792, 1247, 1740, 2271?\n\"Answer: 19*i**2 + 360*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 236912?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/z**(-7\/6))\/z)*z)\/(z\/(z*z**(-3\/7)))*(z*z\/(z*z\/(z**(-4)\/z)*z))**34)**(-4) assuming z is positive.\nAnswer: z**(17102\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + 8*o**3 + 26*o**3 - 11*o**3.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 219 by 5.\nAnswer: 219\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m - 1 + 11*m - 5*m)*(4*m - 2*m**2 - 4*m) + 3*m**3 - 2*m**3 + 4*m**3.\nAnswer: 7*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36371767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1032, -3055, -6234, -10569, -16060, -22707?\n\"Answer: -578*f**2 - 289*f - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28059110 by 2.\nAnswer: -14029555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -20. Let j = g + 3. Is 3*(j - 728\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 35. Let t(q) = q - 13. Let g(r) = 3*b(r) - 8*t(r). Let a = -4 + 4. Let o = a + 2. Let i(n) = 2*n - 1. Give o*i(l) - 3*g(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 30*s = -35*s + 25, 850 = -0*z + 42*z + 15*z + 5*s for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7254888 nanograms to milligrams.\nAnswer: 0.0000007254888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (58 - -171) + -250 - (-18 + -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 1, i: 1, w: 2, t: 2, p: 4}. What is prob of sequence atp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (468\/96)\/((-75)\/4) and -29\/275.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l = 4. Let h(r) = -r + 8. Let s(b) = -1. Let d(f) = h(f) + 3*s(f). Let v be d(l). Which is bigger: -2\/13 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h - h - h + 39 - 46 - 2*h in the form s + n*h and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30203 - 30179. Solve -5 = -o - 3*l, -4*l - f + 28 = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 304932577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 7 + 5 - (-1 + 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 3*q**2 + 20*q + 43. Give j(6).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -11. Factor 2 - 2*i**y - 8*i + 4*i**2 + 6.\nAnswer: 2*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 27*z**2 + 264*z - 6174. Determine m(29).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 + -59. Let r = 13 - 3. Calculate the remainder when q is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -431*q - 148. Let x(j) = -646*j - 238. Determine 8*o(i) - 5*x(i).\nAnswer: -218*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, q: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = u - 44. Suppose 392 = u*p - 7*p. Let j = -275 + 289. Calculate the highest common divisor of j and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 11 + (-3)\/((-9)\/(-3)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -4*c + 68. What is the nearest to -41 in c, -1, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(2\/67)*z*z**(-30)*z**(-3\/29)*z**(2\/5) assuming z is positive.\nAnswer: z**(-268849\/9715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 121, 1, -579?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 258 + -253. Solve -i = 4*i - 2*q + o, 3*q - 15 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -24, 2\/7, 0.693?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-2 - -3) - (0 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 9 + -13 - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 93 - 47. Let v be 1*6*20\/30. Suppose 0 = -5*n + i - v*i + 268, 0 = -n + 4*i + 72. What is the lowest common multiple of y and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.964664um in millimeters?\nAnswer: 0.002964664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, d: 12, x: 2}. Give prob of picking 2 i and 2 x.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138806683*d**6 + 20*d**2 + 41*d - 12242 wrt d?\nAnswer: 16656801960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = n - 0*n - 8, -2*i - 4 = -4*n. Suppose 4*p - a = 17, i*a - 8 = -4*p + 6*a. Solve -3*s - p*x = -0*x + 20, -2*x - 8 = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89.8 + 10.2. Let y = 0.14 + 99.86. Let p = y - x. Which is the closest to p? (a) 1 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 - 29986*b + 330088 = 0 for b.\nAnswer: -15004, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66395 and 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 0, -5*c + 10 = 3*j - 0*j. Solve -g + 0 = -c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 4*m + 4. Determine i(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 749 = -51*m + 494 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 13 = -33. Let h = 63 - 17. Calculate the smallest common multiple of d and h.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -3*w - 9, 3*w = 5*y - 2491. Does 50 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p - 1 - 13*p + 5 + 15*p. Let k(l) = -2*l**2 + 5*l - 4. Let x be k(3). Let v be o(x). Is 12 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9326 - -11167. Calculate the remainder when p is divided by 142.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15200 or 15209?\nAnswer: 15200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -8*n**2 - 16*n + 28. Give w(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -3. Suppose t*d + d - 5 = 0. Let c be (0\/d)\/(0 + -1). Is c smaller than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12189*k + 5 + 4 - 15 + 6 - 11365*k.\nAnswer: 824*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 19871. Let x(y) = -2*y. Give k(x(t)).\nAnswer: -4*t**2 - 19871","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*s - 108590 + 680684. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517562423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1544*c + 9897. What is l(-7)?\nAnswer: -911","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10*d + 4385 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 76 = 5*d + 4*r, 5*d = -2*r + 136. Suppose 2*n + c - d = -0*n, -2*n + 24 = 3*c. Suppose -n = -3*q - 0. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4025132 and 201256600?\nAnswer: 201256600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 8*v + 19*v + (0*v - v + 2*v)*(-5 + 3 + 4))*(6 + 954 - 80 + 251) to z + p*v and give p.\nAnswer: 33930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -161667 divided by 1?\nAnswer: -161667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f - 46. Let h be b(12). Let d be (1\/h)\/((-10)\/120). Suppose 5*x + 23 = -2*s + s, 4*x + 30 = 5*s. Which is bigger: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)*2*-2 + -4*-3*sqrt(176) + 3.\nAnswer: 3 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-4 - (3 + -2 + -9)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10730539223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e18 (base 16) in base 7?\nAnswer: -31314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 273477566*h - 18697494776321089.\nAnswer: -(h - 136738783)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*t - 3. What are the prime factors of t\/(-3) + (-140)\/(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + (54 - 70))\/(3\/(-3)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 163 - -50. List the prime factors of g.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -7, -0.1, -4\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -m - 26 + 8, d + 4*m = -9. Let c(k) be the second derivative of 1\/36*k**4 + 1\/18*k**d + 0 + 0*k**2 - 3*k. Factor c(t).\nAnswer: t*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -138 - (-5)\/5 - 12\/(-18)*(-24)\/(-16)\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1730 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 341 - 32125122?\nAnswer: -32124341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 206*r - 305*r + 693 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1730 = 7*s - 463. Let y = -177 - s. Solve y*t + 7 = -2*c + t, 4*c - 6 = -2*t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 4856a26?\nAnswer: 4856a2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/8 of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (2 + -5)\/18 + 2054\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g + 6*g - 10*g - 7*g.\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 151538797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = -4*n + 3, 3*n - 2*v = 4. Which is greater: n or 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 1\/16*x**6 + 113*x + 0 + 9\/2*x**4 + 81\/16*x**2 + 81\/8*x**3 + 69\/80*x**5. Determine q, given that n(q) = 0.\nAnswer: -3, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -6*q + 3. Suppose -3*f + 4*d + 29 = -9, 46 = 4*f - q*d. What is the highest common factor of 15 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 3*b - 2*h - 24, 0 = b - 5*h + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000830584 to six decimal places.\nAnswer: 0.000831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1276?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 + 19*q**2 - 10*q + 2. Let b(c) = c**2 + 9*c - 10. Let z be b(-9). Let t be k(z). Let j = -11 - -15. Sort t, -11, -5, j in increasing order.\nAnswer: -11, -5, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 - 8*w**2 - 7*w + 7. Let t be j(5). Suppose -r + 5*o = t, 2 = -3*r - 5*o + 16. Which is the biggest value? (a) 0.3 (b) -3\/7 (c) r (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348*n**2 + 7 - 5 - 2.\nAnswer: -348*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 7276000 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/5 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3 = 22. Suppose 5*f = -4*p + 28, 0*f + d*f - 4 = -2*p. Suppose 3*x + x = 56. Calculate the smallest common multiple of p and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -3*a, 2*t + 5*a + 11 = 6*t. Find the second derivative of -c**4 + t*c**4 + 3 - 3 - 3*c wrt c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + -4*sqrt(13) + -4 - (sqrt(468)\/sqrt(4) + 1*sqrt(13)*6)))**2.\nAnswer: 208*sqrt(13) + 2261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12301 is divided by 198?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 38. Let w = i + 5. Which is the closest to 2\/9? (a) 0.4 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 - 176. Let a = -110 - l. Suppose a = 5*f - 684 - 886. Does 52 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/12 - 2\/(-8). Let k(j) = j**2 + 8*j + 9. Let h be k(-6). Let t = -4 - h. Which is bigger: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78\/(-8) - 5*(-35)\/100\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*n - 60*n - 62*n + 40*n - 58*n - 61*n - 56*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**2 - 13*v - 27. Let h be m(-9). Let w = h - -333. Suppose 4*l - 3 = l, z - 4 = 5*l. Calculate the highest common factor of z and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + sqrt(34)\/(-3*sqrt(2) - sqrt(2))).\nAnswer: -15 - 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 15932100 to the nearest 10000.\nAnswer: 15930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300587 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(847)*5 - -6*(sqrt(847) + -1)) + sqrt(847)*1*6*-6)**2.\nAnswer: 3300*sqrt(7) + 529411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*f + 148 = f + 978 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25, 889, 2931, 6745, 12925, 22065, 34759?\n\"Answer: 99*a**3 - 5*a**2 + 186*a - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14225 is divided by 6675.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -239092 divided by 17078?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -6976*u - 12939 + 5*u**3 - 4*u**4 - 91*u**3 + 7563 + 20*u**3 - 86*u**3 - 1748*u**2 = 0.\nAnswer: -21, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/4)\/((-8)\/(-10)*4954\/39632)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 28) + -6 + -2 + -2 + 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4720930 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(95)\/sqrt(5) + -5 - (-4 + sqrt(76)\/sqrt(4)) - (sqrt(190)\/sqrt(250) + (sqrt(133)\/sqrt(448) - sqrt(19)))) + 1)**2.\nAnswer: 85291\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r - 2*r + 17*r**3 + 4*r to the form g*r + q*r**3 + x*r**2 + f and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(275) - (-3 + sqrt(275) + -1) - -3*(sqrt(275) + 0))*1)**2*1.\nAnswer: 180*sqrt(11) + 2511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 = u + 4*b, -5*b = 3*u - 710 - 258. What is the remainder when u is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3.5. Let m = t - 3. Let g be 3\/9*(-4)\/(-3). What is the nearest to -2\/7 in m, 2\/7, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/((-640)\/(-30)))\/(-3). What is the smallest value in -1\/6, 2, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 19*r**2 + 56*r**3 - 2*r - 8 - 24*r**2 - 60*r**3. Let h(k) = 3*k**3 + 4*k**2 + 2*k + 7. What is 5*h(g) + 4*o(g)?\nAnswer: -g**3 + 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -14*j + 24. What is the remainder when 129 is divided by z(-3)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*y + 352*y = 149*y - 2442 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/46)*p**(-10)\/p)\/((p*p**(-9\/4)*p)\/(p\/((p*(p*p*(p*p\/(p\/(p**(2\/23)\/p)))\/p*p*p)\/p)\/p))) assuming p is positive.\nAnswer: p**(-1091\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010100101000111 (base 2) in base 16?\nAnswer: -a947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 3:47 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/15)\/((-325616)\/15510 + 21).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 187*h - 10116. Give i(44).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtu when three letters picked without replacement from {t: 1, m: 1, u: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 6232*k + 4459200.\nAnswer: -2*(k - 600)*(k + 3716)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 10*p - 513. Let s = p + 71. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -7. Let t = 163 - 167. Let z be 88\/484 - (t\/(-11))\/2. Solve -p*v - c + 7 = z, 3*v + 3*c - 15 = -c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 2317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -25, -47, -77, -115, -161?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-9) - (-2705)\/(-15). What are the prime factors of 1\/1 + l\/(-4)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24159285?\nAnswer: 3, 5, 257, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 184\/10 + 10\/(-25). Suppose 0 = -13*q + p*q - 30. Calculate the least common multiple of 62 and q.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 0*p**2 + 17*p + 0*p**4 - 3\/20*p**5 + p**3 + 0. What is the second derivative of m(i) wrt i?\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1863? (a) -110 (b) -0.2 (c) -65.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -644*d - 2578 with respect to d.\nAnswer: -644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050450350 to the power of 1\/2, to the nearest integer?\nAnswer: 32411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016212 rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 37?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 320, -5, -1029\/4, -1\/25?\nAnswer: 320","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/3*36\/(-8). Let l(b) = 2*b**2 + 10*b + 9. Let j be l(c). What is the highest common divisor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 bigger than 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -417418 - -2224796. Let u = v + -3344532. Let s = u - -537154. Round s to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98193846.\nAnswer: 2, 3, 1511, 10831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-14)\/3)*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 73894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2)**(-28)\/(q**(2\/9)*q)**(2\/51) assuming q is positive.\nAnswer: q**(-25726\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 35, 71, 107, 143, 179?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74910 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 102 = -4*x - 43 - 11, n - 108 = 31*x for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0489073 to 4 decimal places.\nAnswer: 0.0489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -6\/13 (c) -19\/327 (d) -1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 3*u**2 + u - 1. Suppose -3*w - 12 = 0, 108*l - 106*l - 12 = w. Give h(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 538 - 269 - 4*b**3 - 269.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 k when three letters picked without replacement from uukzkuzukukuuuuukuu.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 13 - (-10 - -11 - -7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5197007 by 1.\nAnswer: 5197007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2. Suppose 0 = l + 22 - 31. Let p(a) = -l*a**2 - 6*a**2 - 6*a**2 + 9*a**2. What is p(q(b))?\nAnswer: -108*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 107 = -5*h + h, -2*h = 3*f - 71. Solve 0 = -4*w - 3*j, -3*w = -13*j + 9*j + h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888 is divided by 150?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -5. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/326444 and 31\/16.\nAnswer: 1305776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m - 2 - 6*m**3 + 7*m**3 - 7*m**2 - 3. Let k be g(6). Solve 5*x - 4*x = k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/13)\/m**(-2\/13)*m\/(m\/(m*m*m**(-9)*m*m))*m**(-4))**(-31) assuming m is positive.\nAnswer: m**(3503\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c0 (base 14) to base 16.\nAnswer: 16c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*o + 34*o = -1572. Let l = 262 - o. Solve -5*k + 12 + 3 = l, k + 2 = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -1\/4 (c) 1\/2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one fifths of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -o - s, -2*o + 14 = s - 2*s. Suppose -j = -6*j - o. Is 9 a factor of (-3)\/(1\/j) + (-51)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169583475 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/5))**(3\/4))**(2\/13) assuming l is positive.\nAnswer: l**(-3\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 + 77. Let q(l) be the first derivative of 0*l**4 - 1\/5*l**5 + a*l**3 - 4 + 0*l**2 + 4*l. Find the first derivative of q(z) wrt z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 28, 0, -373 in descending order.\nAnswer: 28, 0, -12, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 1, b: 1}. Give prob of picking 1 o and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Let b(l) be the second derivative of -l**6\/120 + l**4\/24 - 5*l**3\/6 + l**2 + l. Let k(h) be the first derivative of b(h). Calculate k(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -264 divided by 88\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -3 + 1\/(-1). Let a be (2\/(-6))\/(n\/3). Let f = 3 + -3. Which is smaller: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1935+-3.873995\nAnswer: -1938.873995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0, -73, 7\/6, -3\/5?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -284 (b) 2 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.57 - 0.47. Let w = -16\/99 + -2\/33. Let q(m) = m**3 + m**2 - m - 1. Let d be q(-1). What is the closest to r in w, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -683, -1357, -2031, -2705?\n\"Answer: -674*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4643387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11972 or 11973?\nAnswer: 11973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 7:13 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-48) + (-42)\/(-4). What is the remainder when ((-2712)\/b)\/(-6)*(-5)\/(-2) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*b**2*w**2 - 10*b**2*w - 26*b**2 - 12*b*w**2 - 31*b*w + 4*b + 1 wrt b?\nAnswer: -88*w**2 - 20*w - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -429154 - 429159 + 37306*w + 858313 to q*w + c and give q.\nAnswer: 37306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204792777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 19*o + 134. Let q be n(-7). Is -2348*(-7)\/28 - (-1 - q) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {h: 4, u: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -10. Let b be 1 - -3 - (-73)\/r. Is 0 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, w: 4, t: 2}. Give prob of sequence zww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4603.927mm?\nAnswer: 460.3927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1, 0.03, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13\/210 - -59\/105. Let q = -125 - -503\/4. Which is the closest to -0.06? (a) q (b) g (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeyeeeeyyye. Give prob of sequence eeye.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1982866 is divided by 110155.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 25, -63, 3\/2, -0.2?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 1 (c) 1\/2 (d) 63 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010011010010111 + 100110?\nAnswer: -11010011001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-149 - -52 - -100)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g - 59959 + 59959.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, o: 2}. Give prob of picking 2 w.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 20*o**2 + 2*o + 4. Let p be r(-4). Suppose 427*j = 350*j + 6083. What is the greatest common factor of p and j?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 4699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988330?\nAnswer: 2, 5, 7, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 94205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*r - 1, 2*g - 4*r = 74. Let f = -14 + g. Suppose -2*u + f = -5*v, 3*u = u - v + 43. Calculate the smallest common multiple of u and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m. Let q(a) = 8*a**2 - 2*a - 2. Let k be (-80)\/60*(-6)\/4. Let s(v) = -135*v**2 + 35*v + 35. Let t(n) = k*s(n) + 35*q(n). What is t(c(h))?\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3037920, 3037926, 3037932, 3037938, 3037944, 3037950?\nAnswer: 3037956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5601015*g - 207162003?\nAnswer: 5601015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*y + 3764 - 441 = -125*y - 1332 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 34*l = -21712. What are the prime factors of l?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -5*a**4\/12 + 4*a**3\/3 + 17*a. Let f be t(2). Calculate the common denominator of -91\/16 and ((276\/(-9))\/f)\/((-16)\/6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4285 = -108*x - 123 - 379 - 2233 for x.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 12 + 50221*u - 5 - 10.\nAnswer: 50221*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5861044513 to the power of 1\/2, to the nearest integer?\nAnswer: 76557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 30*o - 639. Calculate v(18).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 0. Let c = 7.0000056 - i. What is c rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -252.624 - -252. What is x rounded to two decimal places?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -0.2 (c) 2 (d) 32.9 (e) 0 (f) 2.5 (g) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 9*x**5\/5 - 7*x**4\/4 - 11*x**3\/3 + 7*x**2\/2 + 2*x - 935. Find p such that m(p) = 0.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v + 35 = -101 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 10*u. Let p be f(10). Suppose x = -4*g + 2*x + 67, 5*g + 2*x - 87 = p. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15191056 divided by -1898882.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 433394568 divided by 113573\nAnswer: 3816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*10\/(-450)*252\/140.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 99\/2 - (-2 + (-32)\/(-12)). Is 49 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*x + 117*x - 52*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1898 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -887\/60 - -121\/12. What is the common denominator of ((-62)\/16)\/(2\/12) and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 167, 182, 161, 92, -37?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3490240.81000092 - -3490241. Let q = -4.5 - -4.69. Let b = j - q. What is b rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0036163 to 5 decimal places.\nAnswer: -0.00362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16051250 to the nearest integer?\nAnswer: 4006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12302230 + -11?\nAnswer: 12302213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.3 - 0.7. Which is smaller: -3\/20 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooojf. Give prob of sequence ofj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 24. Let b be 273 + 8*n\/(-4). Suppose 5*p - 5*s + 145 = 7*p, 4*p = -3*s + b. What are the prime factors of p?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 23. Let l(f) = -f - 2. Let p be l(-5). Solve -p*d - s - 6 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 3*z + 2*z + (3 - 2*z - 3)*(1 - 2 + 2))*(z**3 + z**3 - 6*z**3).\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 36*z**2 - 40*z. Let t be x(-3). What is the greatest common divisor of 37 and t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -16*z. Let p(a) = 137*a - 3*a**2 + 122*a - 257*a. Calculate t(p(l)).\nAnswer: 48*l**2 - 32*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yky when three letters picked without replacement from kkllwcwyylywylykyy.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 i when three letters picked without replacement from ittitti?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -7 - 1\/4*w**4 + 0*w**2 - w + 2\/3*w**3. What is x(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 9*l - 17 = 6*l, 2*r - 5*r + 3 = l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 8*b + 15 = 3*b, 5*b - 17 = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 5*g = -25, 2*z + 53 - 63 = 2*g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 5. Let m be a(-7). List the prime factors of m + (3\/(-1) - 0).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 318.\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 48 - 4*s**2 + 2*s**2 - 13*s**2.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - 57. Let j = -76 - g. Suppose 6 = -2*w + j. Calculate the remainder when w is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + (-1*(sqrt(832) - 1*sqrt(832)) - (-2*sqrt(832) + 3)) + 3 + (-3 + sqrt(832)*-1 + sqrt(832) - sqrt(832)))**2.\nAnswer: -96*sqrt(13) + 868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 4*c**2 + 2. Let j be p(4). Let m be (-4 - -22) + -2 + j. Let z be (-8)\/20 + 274\/10. Calculate the highest common divisor of z and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0089051 + -144860282.6?\nAnswer: -144860282.6089051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*f + 45. Suppose 16 = 4*v - 0. Suppose -2*j - 1 = 5*c, -v*j + j - 14 = -5*c. Solve -n = 3*s + 16, -3*n = s + f + c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -115, -217, -319, -421?\n\"Answer: -102*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -a2b2 (base 13) in base 11?\nAnswer: -15962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3332626487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 17*h - 57. Let r(l) = 17*l - 57. Suppose 35*c - 28*c = 42. Let w(a) = c*s(a) - 5*r(a). Find the first derivative of w(z) wrt z.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 11:17 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1088) - (sqrt(17) + sqrt(17) + -1 + 2))*3)**2.\nAnswer: 108*sqrt(17) + 5517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22020 and 1436805?\nAnswer: 5747220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 4*d + 24, -5*u - 3*d - 52 = -17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 11*q)*(-2*q + 2*q + q**2) + (0*q + 2*q - 4*q)*(24*q**2 + 31*q**2 + 0*q**2) as l*q**3 + c*q + o*q**2 + p and give l.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**3 - 4*f**2 - 3. Suppose s = -0*s - 59. Let v = -36 - s. Let l(q) = 3*q**2 - 29*q**3 - v*q**3 + 2 + 49*q**3. Determine -2*d(m) - 3*l(m).\nAnswer: m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = b - 732, -864 - 594 = -2*b + 3*u. Let s = b + -497. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 11*v - v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43304 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16017, 5, 3, -55, 4, -1 in increasing order.\nAnswer: -16017, -55, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 3844802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**3 - 1990*a**2 - 3995*a - 2000 = 0.\nAnswer: -1, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-2))\/(-12)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 18707*k - 18465*k + 1 + 3 + 1.\nAnswer: 242*k + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/59000 and -47\/1400?\nAnswer: 413000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 3. Suppose -p*r - 2*r - 5*n = 20, -16 = 4*n. Solve k + r*k = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 8 + 3 = f, -4*f + 4*n - 4 = 0. Suppose f = -2*j + 4. Let l(b) = j*b - 3*b - b. Let m(y) = 2*y**2. Calculate l(m(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**19)\/(j*(j*j\/(j**13*j))\/j))\/(j**(-3)*j**(-16)\/j*j) assuming j is positive.\nAnswer: j**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 11:44 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3061842 and 0.4.\nAnswer: 1224736.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k = 25*k - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 q when three letters picked without replacement from rqqrrqqqrr?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4603645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*g**2*h**2*z - 87*g**2*z - g**2 - 2025*g*h**2*z + 2*g*h*z + g + 5*h**2 wrt g?\nAnswer: 50*h**2*z - 174*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479280179.\nAnswer: 7, 68468597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1641*c**2. Let n(d) = 2*d. Calculate z(n(x)).\nAnswer: 6564*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 2448\/126 - (-4)\/7.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0276 + 0.1276. Let k = -3 + 4. Which is the nearest to v? (a) 2 (b) k (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(((6\/(-45))\/(6\/(-72)))\/((-128)\/(-320))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 11*k - 6. Let u be r(-5). Are 25 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**3\/3 - 838. Let x(i) = 282*i. Give k(x(n)).\nAnswer: -79524*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/8 - 9\/54 - 2482\/6834.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 times -0.012?\nAnswer: 0.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12022321 (base 4) in base 16?\nAnswer: -62b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, 2, 0.\nAnswer: -1, 0, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - b + 5*b = 20, c - 3*b + 3 = 0. Suppose -c*y = -5*y - 6. Is y smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 688148800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*i**3 + 864*i**2 - 1532*i + 696.\nAnswer: -4*(i - 29)*(i - 1)*(7*i - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-4)\/(-8))\/(-17*20\/19720)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/17)*m**(-34)*(m*m*m\/(m**(-4\/21)*m*m))**(-50))**(-4) assuming m is positive.\nAnswer: m**(132292\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99418, -99441, -99488, -99565, -99678?\nAnswer: -99833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 13*s**2 - 14*s + 15. Give c(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - y - 5*y - y. Let f(c) = 11*c - 21*c + 12*c. Calculate v(f(q)).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 5*x - 20, 0 = 3*j - 2*x + 2 + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from {e: 1, d: 1, h: 1, r: 1, l: 1, c: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(13) + -3) - (sqrt(637) + 1)**2.\nAnswer: -623 - 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 11 + 14 = 0. Let z(i) = 3*i - 5. Determine z(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*b - 2. Let s(o) = 16*o + 2. Let u = 9789 + -9777. What is the remainder when s(b) is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6777568451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a37 (base 11) to base 9.\nAnswer: -1638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 9*d**4\/4 + 345*d**3\/4 + 27*d**2 - 57*d = 0.\nAnswer: -38, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22093 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -56431, -12, -6, 3 in decreasing order.\nAnswer: 5, 3, -6, -12, -56431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (342*d**2 + 174*d**2 - 692*d**2 + 5)*(-8 + 3 - 1) as m*d**2 + v + b*d and give m.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/20 and -131\/204?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/28 - 2\/(-4). Let q = 852.01 - 853. Let o = -0.69 - q. Which is the nearest to -4? (a) -2\/9 (b) p (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -167 - -17?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m + 4. Let z(q) = 5*q - 11. Suppose 4*y - 40 = 5*y. Let k = y - -51. Let c(p) = k*o(p) + 4*z(p). Let v(r) = 27*r**2. Give c(v(a)).\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000162246 to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - c**2 - c - 2. Let b be m(-1). Let i(n) = n + 3. Let u(g) = -g**3 + 4*g**2 - 4*g - 12. Let k(z) = b*u(z) - 4*i(z). Determine k(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*h*t**5 + 18*h*t**3 - 10*h*t - t - 5 wrt t?\nAnswer: -680*h*t**3 + 108*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**3 - 11*i**2 + 10*i + 1. Let g(b) = 2*b**3 + b**2 + 1. Give -g(y) + q(y).\nAnswer: -5*y**3 - 12*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-27533)\/10012)\/(33\/56)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3636, 3796, 3956, 4116, 4276, 4436?\n\"Answer: 160*r + 3476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32.31 + -0.49. Let u = i - -28.8. Which is the biggest value? (a) 9 (b) u (c) -0.3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 18*p**2 + 2179*p + 6377. What is j(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -11*h - 14. Let k be o(-4). Let w = -20 + k. Solve -25 = 3*u + 2*u, -4*u = -2*t + w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(((-1)\/(-30))\/(190\/(-741)) + (-14)\/(-56)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -13*z - 11*z + 21*z. Let s(y) = -7*y. Give n(s(k)).\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/90)\/((-15)\/(-27) - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51216177 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.9547 rounded to 1 dp?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16617\/2 + -8310. Let n(m) = m + 2. Let c be n(-2). Sort -2\/7, c, 0.4, w in ascending order.\nAnswer: w, -2\/7, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -135, -225, -315, -405?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f. Let h(d) be the third derivative of 0*d**4 + 0 + 60*d**2 + 0*d**3 + 0*d + 8\/15*d**5. Give h(o(m)).\nAnswer: 800*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/21*(15 + -9)*-1. What is the nearest to 3.1 in 0.2, u, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.054 - -3.024. Let p = k - 3.2. Round p to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/878 and -67\/10.\nAnswer: 4390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*w**2 - w**3 + 1 + 10*w**4 - w**3 - 42*w + 23*w + 20*w - 16*w**4 to the form l*w**3 + k*w**2 + c*w**4 + r*w + b and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-12))\/((3850\/(-44))\/35)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*u**2 - 192 - 486 + 142*u**2 - 22 + 102 in the form k*u + q*u**2 + s and give s.\nAnswer: -598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4 + 5. Suppose 4*b - 7 = -o. Solve b - 10 = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**4\/4 - o**3 + o**2\/2 - 2*o + 8. Let v be k(4). What is the common denominator of ((-893)\/76)\/(v\/8) and -47?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8677 - -8676.5. Put -1, -0.2, 1\/2, r, -2 in ascending order.\nAnswer: -2, -1, r, -0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -756.41221258 - -766.367618. Let o = m - -37.04459648. Let g = 47 - o. What is g rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**4*d\/(d**(-6)*d*d)*(d\/(d*d**5))\/d**(-1\/5) assuming d is positive.\nAnswer: d**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 98634 + -98654 + ((2 - 3) + (-1 - 0) - 2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -43. Solve x*m + 0*m = 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 11535?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64.78963l?\nAnswer: 64789.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 + 2172*u - 2948490.\nAnswer: -2*(u - 2715)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3240853?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 888241481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 521*l - 16681. Determine k(32).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {o: 2, x: 16}.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*a + 8055 = 127*a - 2791 for a.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - 111112022?\nAnswer: -111112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*p + 56882, 5*p - 56902 = -3*g - g. List the prime factors of g.\nAnswer: 3, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1866, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Let p be (-102)\/1*q\/(-6). Let j = -24 + p. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -609 + 606. What is the closest to 0.8 in 0.2, n, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 492, 1260, 2372?\nAnswer: 3828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**4\/6 + f. Let r = -7 - -2. Let b(d) = 4*d. Let x(u) = -3*u. Let m(j) = r*b(j) - 7*x(j). Give m(y(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 0*l - 4*m = -18, -2*m + 4 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2627.7373602 + -0.1383602. Let u = -2631 + l. What is u rounded to 1 decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 768916.1 nanometers to centimeters.\nAnswer: 0.07689161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 12*o - 2. Let h(z) = z + 1. Let f(u) = 6*h(u) + l(u). Let t be f(4). Sort -0.2, t, 0.3 in increasing order.\nAnswer: t, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 4:47 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -829. Suppose -4*x + p = -0*t + 4*t, -5*x = -3*t - 964. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/27 - (-132)\/837. Let k = h - 27\/62. Put k, 4, -2\/15 in ascending order.\nAnswer: k, -2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 58. Let d be (-66)\/(-10) - 21\/z. Suppose 55 = g + d. Is g a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, 11, 2, -14.\nAnswer: -14, 1, 2, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.321364504 to 3 dps.\nAnswer: -0.321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 363592*f**4 - 13398*f - 3.\nAnswer: 4363104*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from amsamfacfccvf.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1711221378?\nAnswer: 2, 3, 43, 293, 22637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 + 77. Let j = f + 39. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2233140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 18. Suppose 10 = -h*g + 48. Solve -2*f - g = 5*x, -4 = x + 2*f + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/2256056 and -23\/132?\nAnswer: 6768168","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 9*(-1 + 3 + -1). Let r = -7 + t. Suppose -23 = o - 5*w, -o + 19 = -4*o + 5*w. Are r and o non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8 = 0, -3*l = 3*i + 384 - 2322. Is 23 a factor of 4\/18 - l\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 111 - 1?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7084, -14162, -21230, -28282, -35312, -42314?\n\"Answer: j**3 - j**2 - 7082*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2718.5 minus 3715?\nAnswer: -996.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111012 (base 3) to base 8.\nAnswer: -6310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 16*w**2 - 41*w + 27. Calculate p(18).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2090)\/(-8) - (-1)\/(-4). Let v = m - 4439\/17. Let r = -39 + 39.2. Put v, 1, r in descending order.\nAnswer: 1, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 10:42 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 3:33 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96401\/4 - -24101. Let w = -455\/8 - -57. Which is the smallest value? (a) -24 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 36*l - 61. What is g(30)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s + 4*r = -16, -3*r = -3. Suppose -14*b + 50 = -s*b. What is the remainder when 29 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45036 and 280780?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a - 3 = 23*a. Let p(g) be the first derivative of 4\/3*g**a - 3*g - 3 + 0*g**2. What is the derivative of p(n) wrt n?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/24 and -67\/22630770?\nAnswer: 90523080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 100*l - 805. Let x be t(8). Put x, -2, 4, -3, -98 in descending order.\nAnswer: 4, -2, -3, x, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2398 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (64 - (-7 - (3 + -22)))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, 0.2, 60\/17, -0.27, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 3*c**2 - 47*c - 24. Let t be q(9). Let a(f) = f**3 - 6*f**2 - 5*f - 16. Let y be a(t). Is -24\/7 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20623.\nAnswer: 41, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001067914 to five decimal places.\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746*q + 1791*q = 750*q - 3262*q + 85368 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 636 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -226*z + 676. Give l(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-12)\/9 - (-1150)\/6. Suppose m + y = 3*m. Is 32 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -18 + 22 - (0 + 1 + -3). Let v be (-12 + x - 0)\/((-6)\/4). Is (-11 + 1)\/(v\/(-2)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -400.685 - -402. Let h = 1.32397 - y. Round h to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 11*q + 4*q + 0*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11\/5889 + -23633\/41223. Let a = 0.11 - 4.11. What is the second biggest value in a, f, 1\/5, 22?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 129*t + 586. Determine w(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a minute in seconds?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 59. Suppose 63 + j = 4*d + b, -5*d - 2*b = -163. Suppose 11 = 2*x - x. Calculate the remainder when d is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4167*g + 21. Let u(l) = -6946*l - 34. Give -13*m(f) - 8*u(f).\nAnswer: 1397*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (0 - (-3 - -1)) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from aaaaaaabaaawaosr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 4*r = 2*f - 11638, 2*f + 3*r - 11614 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 + 420 = -104*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 + 0.38. Let w = -40 + 42. Which is the biggest value? (a) w (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b3b (base 15) to base 2\nAnswer: 1011100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*n - 175, -7*q + 2*q + 421 = 4*n. Let v = 81 - q. What is the smallest value in -0.3, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/9 of a day in minutes?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 559, 1077, 1593, 2107?\nAnswer: 2619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1135503.\nAnswer: 3, 71, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.85 + 0.15. Which is the nearest to -1? (a) -2\/9 (b) 0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**2 - 2*s - 8. Let h(l) = -856 + 274 + 10*l**2 - 4*l + 289 - l**2 + 278. Calculate -11*d(t) + 6*h(t).\nAnswer: -t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 divided by 4?\nAnswer: 345\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-994)*1085\/(-8370)*27.\nAnswer: -6\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2051000 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 9. Let s be 293\/2 - p\/(-12). Suppose -7*t + s = -3*t. List the prime factors of t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 b when three letters picked without replacement from pigrbfi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17.01847 millimeters?\nAnswer: 17018.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r + 5*r + 3*r - 6 - 2*r - r**2. What is the units digit of f(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44 - 151 + 23)*(2 - 2 - 2)*(-l + 5*l - 2*l) as t + u*l and give u.\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -47 and -0.93473.\nAnswer: -47.93473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 1\/5, 0.01, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, n: 6, e: 5, r: 1}. What is prob of picking 1 n and 2 e?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 1\/6052?\nAnswer: 1\/6052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21493644507 + -45.26\nAnswer: 21493644461.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18071 + -16872. What is the greatest common factor of o and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4136?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6943589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 753630 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 88 = -5*w, 0*i + 3*w = -2*i + 176. Let h = -35 - -49. Suppose 4*z - 18 - h = 0. Calculate the greatest common divisor of z and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8399589 and 58557?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58*(-2)\/2*(-514)\/1028.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**3\/3 - 11*p**2\/2 - 2*p. Let c be z(-8). What is the first derivative of 6*v**3 + 0 - c*v**3 + 2 wrt v?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.63 + -0.37. Let k = t + 27. Let f = k - 30. Which is the nearest to f? (a) 5 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 - f - 1. Give q(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 + x - 2. Suppose 2 = 5*t + 4*d, -5*t - 19 = -4*d + d. Let s = 407 - 402. Let n(j) = 9*j**2 + j - 5. Calculate s*z(i) + t*n(i).\nAnswer: 2*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 27 + 4 + 34.\nAnswer: -3*t**2 + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6175 is divided by 713.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 5, -0.4, 2\/9, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -17. Let g be (54\/y)\/(-9)*4. Solve -4*z + g*x - 2*x - 4 = 0, z - 3*x = 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1778616 litres?\nAnswer: 177.8616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*d + 101*d + 307732 - 307738.\nAnswer: 2*d - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {v: 3, k: 9, g: 3, h: 2}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 12*q - 20. What is the remainder when 159 is divided by n(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.5222 - -15.132. Round y to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2 + 19*o**2 - 73*o**3 + 1 + 74*o**3 - 4*o**4 - 3*o + o**4 in the form q*o + b + j*o**3 + w*o**2 + p*o**4 and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/89 or -4718413?\nAnswer: -4718413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w. Let o(s) be the second derivative of s**7\/1260 + s**4\/3 - 8*s. Let h(q) be the third derivative of o(q). Determine u(h(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.97 + -0.03. Let r(u) = -u**3 - 20*u**2 - 13*u - 34. Let w be r(-19). Let d = w + 145. What is the third smallest value in -5, 3, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23189 + 30991. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) -0.1 (b) -0.4 (c) 2\/7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -11*j**2\/2 + 43*j - 114. Let u be b(4). Put -0.02, -1\/5, -3, u in increasing order.\nAnswer: -3, u, -1\/5, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.8 times -0.5?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -357977864*q**4 - 498702*q**2 - 3*q + 4 wrt q.\nAnswer: -8591468736*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, r: 6, w: 3, k: 2}. What is prob of sequence kewr?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1103221 (base 4) to base 6.\nAnswer: 40441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -248, -994, -2238, -3980, -6220, -8958?\n\"Answer: -249*m**2 + m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1609\nAnswer: 5\/1609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 5*r**2 - 2*r + 5. Let b be c(-4). Let a be (0 + (-2)\/15)*b. Sort 2, 3\/8, a in increasing order.\nAnswer: 3\/8, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 10. Let f(a) = 9*a - 5. Let b be f(-10). Let t be 2\/7 - b\/35. What is the smallest value in y, t, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 68*d**2 + 313*d + 14. What are the prime factors of c(-15)?\nAnswer: 7, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/3 - 124502230*g\/3 + 124502228\/3.\nAnswer: 2*(g - 62251114)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1510*o + 519*o - 1 - 7 + 8.\nAnswer: -991*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37952*a + 1408 = -37996*a for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 54*f**2. Let k(r) be the first derivative of -r**2\/2 + 48. Let d(w) be the first derivative of -2*w**2 + 3. Let u(p) = d(p) - 3*k(p). Give u(z(q)).\nAnswer: -54*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -2, -42, -118, -242, -426, -682?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1. Suppose -48 = -5*c - 3*c. Let i(f) = 3*f - 5. Let x(d) = -3*d + 5. Let g(j) = c*x(j) + 5*i(j). Give -g(r) - 4*n(r).\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 42481 and -46.53.\nAnswer: 42434.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f**4 - 10004*f**3 + 37576*f**2 + 11552*f = 0. What is f?\nAnswer: -361, -2\/7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/216)\/(1\/(-1)*(-572)\/(-520))?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*(72\/114)\/12*(-3)\/(-3)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 4*c - 4, 3*c + 3 = -i + 2*i. Suppose -5*d + 9*d + 4 = i. Do -4 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**3 - 3*y**2 + 4*y. Let g(w) = -w**3 - 4*w**2 + 5*w**2 + 0*w - w. Let b be 155\/40 + 2\/16. Calculate b*g(t) + z(t).\nAnswer: t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*a - 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53306 or -53307?\nAnswer: -53307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113005 - 113005 + 72*n**2.\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0436 and 4399.\nAnswer: 191.7964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 668, 1, 4 in descending order.\nAnswer: 668, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14369 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -21 (b) -3\/7 (c) 5\/4 (d) 13 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5. Let u(h) = -h + 5. Let z(n) = 3*a(n) + 4*u(n). Let q(k) = -10*k + 12. Calculate 5*q(t) - 12*z(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 18*m + 23. Let b be s(-17). Suppose p + 565 = b*p. What are the prime factors of p?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 4\/9 (b) 2 (c) -2\/179 (d) -3 (e) -1\/11 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/42 + (-38)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5.2429212 microseconds?\nAnswer: 0.000000001456367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/22316382 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6505, 52250, 176457, 418360, 817193, 1412190, 2242585?\n\"Answer: 6539*x**3 - 3*x**2 - 19*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 8*w**2 + 5*w + 2. Let j be r(4). Find the second derivative of -174*l**3 + 88*l**3 + 8*l**4 + j*l**3 + 15*l wrt l.\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1019*b + 1065*b = -2231*b + 13037 + 103090 for b.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2385*k**3 + 6*k**2 - 5*k - 4. Give d(-1).\nAnswer: -2378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75623, -151244, -226865, -302486?\nAnswer: -378107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 5. Let k = i - -21. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2071.663306 - 2098.363. Let o = h - -26.7. Round o to five dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 16*f - 12. Let r be g(-17). Suppose 6*h = 2*h - 20. Sort r, h, -3 in decreasing order.\nAnswer: r, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/2*(-113)\/(-339)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6*2\/(-90) - (-11 - 743\/(-60))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 960996.\nAnswer: 7687968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -8\/41, -4, -3, 5, -30?\nAnswer: -8\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0548 + -0.1745798.\nAnswer: -0.1197798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1730 + -1135. What is the remainder when y is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 16. Let s be j(0). Let y be (-4)\/s*(2 + 0). Let n be (-15)\/22 - 32\/(-176). What is the closest to n in -0.2, y, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 151 + -139. Suppose -x*s - 70 = -26*s. Sort 7, -5, s in ascending order.\nAnswer: -5, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(2 + -3))\/(36 + 23348\/(-650)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-90))\/((-1)\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 7*v - 2. Let o(c) = -22 + 2*c**2 - 17*c - 3*c**2 + 12. Calculate the lowest common multiple of n(-6) and o(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + -1 + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -18*i**3 + 18*i**2 - 28*i + 2. Let c(h) = -18*h**3 + 26*h**2 - 28*h + 2. Give 2*c(q) - 3*w(q).\nAnswer: 18*q**3 - 2*q**2 + 28*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 828*o - 14072. Let n be d(17). Let w be (-2)\/(-8) + (-41)\/4. Let b = 6 + -10. Sort n, b, w.\nAnswer: w, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 331 - 42. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**3 + 7*n + 4. Let x(m) = m**3 - 2*m - 1. Let c(q) = -2*f(q) - 7*x(q). Let v be c(-1). Is 185\/(-15)*(-3 - v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35719713 by 36117.\nAnswer: -989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, h: 10, c: 2, x: 6}. Give prob of sequence cc.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -754789 divided by -1?\nAnswer: 754789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -438729.\nAnswer: -438725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 3*l + l)*(4 - 3 + 7)*((1 - 2 - 3)*(3 + 2 - 6) + 2 - 19 + 8).\nAnswer: 120*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -624 + 8649\/14. Let h(w) = w + 1. Let g be h(-3). What is the common denominator of b and 1*g - 230\/(-32)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8730*g**5*s + 336*g*s - 16*g - 3*s wrt g.\nAnswer: -174600*g**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22680014 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001521626 rounded to five decimal places?\nAnswer: 0.00152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101101 (base 3) in base 2?\nAnswer: -100110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/3 - 6*t**2 + 10*t - 14\/3.\nAnswer: 2*(t - 7)*(t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 + 3. Let g(r) be the first derivative of -17*r**3\/3 + 13*r - 4. Let c(b) = 26*f(b) - 6*g(b). Let p(s) = 3*s**2. Give p(c(a)).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4)*w)\/(w*w\/w**0*w))**(7\/5)*(w*w**(-1\/4)\/w*w)**22*(w\/w**(-6))\/w**2 assuming w is positive.\nAnswer: w**(131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + m = -120, -3*n + 84 = -0*n - 3*m. Suppose 17*s + 480 = n*s. What is the highest common factor of s and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/179697?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1303301?\nAnswer: -1303303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -4, -0.0401, 0?\nAnswer: -0.0401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, 0, -2\/7, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1471 - -1466. Sort -14, -0.3, -0.05, l.\nAnswer: -14, l, -0.3, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-1)*(48\/(-8))\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 18 = c. Suppose -s = -2*s + c. Find the second derivative of 0 - 1 + 1 + 14*l - s*l**2 wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + sqrt(98) + (-3 + sqrt(98) - sqrt(98))*-3)**2 + 3.\nAnswer: 252*sqrt(2) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(12) - sqrt(1200)) + -3)**2.\nAnswer: 2*sqrt(19)\/3 + 748\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 64067265.91 from -2.416.\nAnswer: -64067268.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12101223 (base 4) in base 9?\nAnswer: 38233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 6. Let g = q - 5.9. Let a = g - -1.2. Sort 1, 0.5, a in descending order.\nAnswer: 1, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -4\/21*s**3 + 0*s**2 + 0 - 4*s + 1\/21*s**4. Determine w, given that z(w) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -19. Let b(o) = -20*o - 3. Let u be b(a). Suppose u = 7*r - 210. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/1565810 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142 - 137. Solve -q + 6*b = 4*b + 10, 0 = -w*q + 2*b - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2457\/(-546)*(-2*15)\/3?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7590 and 3642395?\nAnswer: 240398070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -178*k + 284*k + 234*k - 1054000. What is the greatest common factor of 434 and k?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**3\/7 - 8880*j**2\/7 - 603948*j\/7 + 8531280\/7 = 0.\nAnswer: -2890, -82, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*i**2 + 48*i**2 - 27*i**5 + (-1 + 1 - i**2)*(-3*i - 2*i**3 + 3*i).\nAnswer: -25*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**2 - 559258*t + 559258*t.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -978*g - 11*g + 1606 + 1361 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxyknbyx. Give prob of sequence kkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -8)\/3 + (-13)\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-159)\/((-95400)\/640)*10*4\/(-672)?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 228203 at most as big as 2510224\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -6*q + 85. Let v be (63\/(-12))\/((-3)\/(-48)). Let j = 1 - v. What is the highest common divisor of j and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a week in seconds?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 0.0662?\nAnswer: 3.0662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56000257 + 266841210068\/4765. Let v = -3\/3812 - d. What is the common denominator of 91\/20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (940\/(-120) - -8)\/(1\/18). Solve -m*r - q = 8, 0 = -5*q + 23 - 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1122 = 6*t - 0*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -4)\/(-1)*(16\/(-64))\/(2\/28)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 2*s + 14, -s - 1 = 2311*m - 2310*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168316195?\nAnswer: 5, 33663239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 180 divided by -36\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**3 + 4*r**2 - 8*r + 5. Let p(g) = -7*g**3 - 9*g**2 + 17*g - 11. Give -4*p(b) - 9*v(b).\nAnswer: b**3 + 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 200 - 366. Calculate the remainder when i*(42\/(-12))\/7 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.2 - 11.131. Let s = -9.331 - c. What is s rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -22*q + 1\/6*q**3 + 0 + 3\/2*q**2. What is h(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 + 20 - 8 - 6 - 6.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 5\/608515292?\nAnswer: 5\/608515292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -39993 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 27 = -u, -2*u + 2*q + 3 = -27. List the prime factors of u\/(-2)*(-62863)\/222.\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.169 - -0.16999. What is q rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 4*s - 128. Suppose -r - 19 = -s. Let m(d) = d**3 - 13*d**2 + d - 11. Let c be m(r). What is the second biggest value in 4\/7, c, -0.07?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 0)*(2*z + 9*z - 4*z) - 5*z + 7*z + 8*z to t + u*z and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/164? (a) -0.4 (b) 5\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000003391893 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2261*i = -8*i + 794*i + 360*i + 78361 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6686, -13297, -19944, -26627, -33346?\nAnswer: -40101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*b, -10*k - 5*b = -7*k - 220319990. What is k rounded to the nearest 1000000?\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3))**(-49)*((k**(2\/13)*k)\/k)\/(k*k\/(k*k**8)*k))**(-6\/19) assuming k is positive.\nAnswer: k**(-11946\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 + 611735\/20)*20\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12818786 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 3\/7, -593, -0.4, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 59644348 = -8776484. Suppose 3*l + 5553296 + 19362328 = 0. Let b = l + c. Round b to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-45)\/3 + 1. Let p be 2*4\/(4\/2). What is the units digit of (-4)\/(-3) + p\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 10*f**2 - 2 - 14*f**2 + (-f + 6*f - 4*f)*(0*f + 2*f + 0*f))*(-1 + 1 - f + (-4*f + 2*f + 0*f)*(-1 + 2 - 2) - 3*f - 26 + 26).\nAnswer: 4*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 438\/12)\/(5\/(-6) - 245\/(-735))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -401482?\nAnswer: -401481.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 441, 1246, 2409, 3930, 5809, 8046, 10641?\n\"Answer: 179*r**2 + 268*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 2*z**2 - 2. Let f be 7\/((-21)\/6) + 5. Suppose 0 = -f*i - 0*i + 36. Calculate the remainder when i is divided by c(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5806 - 506. Round n to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a centimeter in millimeters?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1730.3 and -8863057.\nAnswer: -8861326.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(14)\/sqrt(7) + -4 - ((1 + sqrt(2))**2*-6 + ((1 + sqrt(2) + sqrt(2) - sqrt(2)) + sqrt(2) + -5)**2).\nAnswer: -6 + 29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -226*x**6 - 2*x**2 + 26*x?\nAnswer: -27120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/c**(4\/9))\/((c\/(c*c**(-1\/5)\/c))\/c**37) assuming c is positive.\nAnswer: c**(1726\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -111010000111001 (base 2) in base 16?\nAnswer: -7439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 2:30 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000 (base 3) in base 9?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z - 1. Let h be p(2). Suppose 0 = -5*v + 5*d + 5, -h*v = -2*d - 0*d - 5. Calculate the greatest common divisor of v and 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2) + -1 + -1 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h - 92. Determine m(0).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4 + (-17)\/(-4))*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + n**2 - n + 1. Let l(g) = 6*g**3 + 10*g**2 - 4*g. Let z(t) = -5*a(t) + l(t). Determine z(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126942*s**6 - 4*s**4*z - 42*s**3 - 11*s**2*z + 14*s**2 + 71*s*z + 5*s + 3 wrt s.\nAnswer: -15233040*s**3 - 96*s*z - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17499992 = 2*x + 3*x + 2*g, 0 = 2*x - 4*g + 7000016. What is x rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16394, -63238, -141048, -249830, -389590, -560334, -762068?\nAnswer: -994798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*x = 26*x + 47*x - 124. Let u = -2 + 1. Let v = 5 + -17. Which is the closest to 1\/2? (a) u (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twteetxzxttt. Give prob of picking 1 e and 1 z.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*10\/(-75))\/((-676)\/(-260)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1802*c - 79109. Determine r(44).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**4\/2 - f**3\/3 - f**2 - 38*f. Determine a(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3450)\/36 + 4\/(-24) + 168\/12 + -13.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 100 = -3*d. Calculate the least common multiple of 8 and d.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456245 divided by -32361?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = v, 3*n + 0*n + 7 = 4*v. What is the second derivative of 2*f**4 - 7*f**4 + v*f - 3*f**4 + 0*f wrt f?\nAnswer: -96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*n + n. Let z(b) be the third derivative of -b**5\/60 + 7*b**4\/24 + 7*b**3\/6 + 104*b**2. Determine z(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10 and -1236466.\nAnswer: -1236476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + 13 + (66 - 0) + -72?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37858 and 14.\nAnswer: 265006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -11*w**3 + 13*w**2 + 4*w + 10. Let n(j) = 5*j**3 - 6*j**2 - 2*j - 5. What is 6*f(v) + 13*n(v)?\nAnswer: -v**3 - 2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -45a2a (base 11) in base 14?\nAnswer: -1a313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-40)\/(-28))\/(-5) - 0\/8. Which is the second biggest value? (a) -5 (b) 2 (c) 2\/131 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 2*s - 2. Let p(d) = -5*d**3 + 11*d + 11. Suppose -g - 3*g - 12 = 4*v, -g = 1. Give v*p(i) - 11*r(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96.5 + -96.9. What is the second smallest value in y, 4, 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*5*24\/(-330).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/2 + 43119*u\/2 + 77245758.\nAnswer: 3*(u + 6801)*(u + 7572)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4429369 centuries to decades.\nAnswer: 4.429369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-6)\/(-4)*60*(-5)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -0 - 18. Calculate the smallest common multiple of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 + (-10199)\/310)\/((-26)\/260)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*o = -67*o - 51*o + 1022741. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 6*x**2 - 9*x - 2. Let h = -4 - 3. Let b be m(h). Solve -g - b = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8*b + 32. Let t be g(-5). Let x = t - -22. Calculate the smallest common multiple of x and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 322\/(-28)) + 0 + -1\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4096, 4116, 4152, 4210, 4296, 4416, 4576?\n\"Answer: w**3 + 2*w**2 + 7*w + 4086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40489567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Let w(i) = -18*i**3 - 15*i**3 - 10*i**3 + 44*i**3 + 5. Give w(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -19148864.\nAnswer: 5\/19148864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -4. Let h = 2354 - 2301. Let 54*n**3 - 112*n**3 + 5*n**f + 5*n + h*n**3 - 5*n**2 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j + 680 = 0. Let o be 4 - j\/22 - -2. Let r = -41\/55 + 6\/11. Which is the nearest to -1\/4? (a) -1\/4 (b) o (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220 and 40931.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -6. Suppose -42 = -o*a - 2*n, -4*a + 5*n - 26 + 105 = 0. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5180 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 10*l**3\/3 - 7*l**2 - 4*l + 1002. Find the second derivative of d(k) wrt k.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**5\/210 + b**4\/42 - 5*b**2. Determine j so that y(j) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-27)*(270\/70)\/9.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.015 + 0.255. Let r = v - -3.73. Which is the closest to 0? (a) 3\/2 (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34cd1 (base 15) to base 3.\nAnswer: 22112211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -23*k**2 + 920*k - 312. Determine s(37).\nAnswer: 2241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-1)\/2) - 2. Suppose -4*g + p*g = 20. Let u(c) = 3*c**2 + 7*c + 5. Is 15 a factor of u(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 843813 and 4031?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -40225 and 1.\nAnswer: -40224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141.21 or -29\/27?\nAnswer: -141.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 1039488932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 (base 9) in base 4?\nAnswer: -1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4055201\/2, 4, 3 in decreasing order.\nAnswer: 4055201\/2, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 7 - (-1 - -10)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**2 - 4504 + 2*t**4 + 11*t**3 - t + 4502 + 3*t**2 + 2*t**3 as u*t + y*t**3 + n + m*t**4 + h*t**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -y + 3, -2*r + 51*y - 36*y - 1873 = 284*y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v + 101 = 17. Let j = -450514\/11 - -40988. Let p = j - 32. Which is the biggest value? (a) p (b) v (c) -5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 121550 + -100?\nAnswer: 121450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 11*r + 10. Let t be p(-11). Let o = t - 9. What is the lowest common multiple of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 20 + 2*w - 6*w**3 - 4*w**3 + 181*w.\nAnswer: -10*w**3 + 183*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131541*h**6 + 8*h**2 - 20*h + 491 wrt h.\nAnswer: 15784920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 - 80. Suppose 2*k = -0*k - 6. Which is the third smallest value? (a) -4 (b) k (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/219 and 43\/3066.\nAnswer: 3066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 2532, 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115631 or -1?\nAnswer: -115631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59329427?\nAnswer: 59329427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4*10\/20. Is -0.1 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 - -1095\/13. Which is the smallest value? (a) 2\/3 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-575)\/(-23))\/((6\/15)\/((-210)\/175))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/37))**30\/(l**(6\/7)*l**(-14)) assuming l is positive.\nAnswer: l**(2984\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/14*(6 + 56\/(-10)). Let z = -8\/145 - 10\/29. Put z, 0, -2\/3, x in ascending order.\nAnswer: -2\/3, z, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27045910.\nAnswer: 2, 5, 2704591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -313*s - 1306. Let i(t) = -79*t - 327. Let d(n) = 2*b(n) - 9*i(n). Find the first derivative of d(m) wrt m.\nAnswer: 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*v, 2*g + 3*v + 23 = 54. Suppose 12*a - 15*a = 4746012. Let c be a\/g - (-2)\/7. What is c rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*m**3 - 114*m - 2 + 114*m + 2*m**2 as a + x*m + r*m**3 + c*m**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 0*z = -4*n + 5, n = -4*z - 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2))**33*(u\/u**0)**(2\/67) assuming u is positive.\nAnswer: u**(-2207\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -472 divided by -368?\nAnswer: 59\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 367678914 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-8 - (-6 + -15))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.036 - 1793.\nAnswer: -1793.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 22, -5, 289 in descending order.\nAnswer: 289, 22, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -5*r**4\/24 + r**3\/3 + 123*r**2. Let v be g(1). Which is the closest to -1\/3? (a) 24 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 22. Which is smaller: -6 or h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2138823073 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(2 + 5 + 0)*(2*q + 2*q - 5*q).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 334?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2)*6\/(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 26 - 10. Let h = 5 - x. Calculate the remainder when h is divided by 6 + 0 + (-1 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-14)*196\/(-56). Which is the closest to -1\/6? (a) -2\/13 (b) n (c) -1\/3 (d) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*j + 3*h + 61 - 39, 2*h = -4*j - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 s, and 1 d when three letters picked without replacement from {d: 1, s: 1, a: 1, n: 1, g: 1, l: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 10346 to the nearest 100.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -5, -1\/3, 4\/5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 54*z**2 - 324*z - 19. What is d(6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003843 rounded to 6 dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4191 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13303.99996582 - 13304. What is w rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -1.52. Let j = -319.52 - b. Let w = -317.999839 - j. Round w to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (325\/2535*-3)\/((-12)\/(-26))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v**2 + 17. Let w(a) = 2*a**2. Give w(u(x)).\nAnswer: 98*x**4 - 476*x**2 + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -146 and 0.08.\nAnswer: -11.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128699627 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-21) + (-1)\/(-7)*-2. Let v(l) = 7*l + 6. Let x be v(6). Is x > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**6\/39 + 8*s**5\/65 - 6*s**4\/13 + 24. Determine q, given that k(q) = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 3)\/(6\/4 - 1). Let n(r) = -6*r**3 + 5*r**2 + 6*r + 9. Let g be n(p). Is 60 a factor of (-7 - (-465)\/g) + 1558\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/((p\/(p**(-3\/8)*p))\/p)*p*p)\/p)\/(p\/p**5))**(-7) assuming p is positive.\nAnswer: p**(-483\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o - 10. Let h be l(5). Let x(w) = -w - 1 + h + 1. What is x(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 7:27 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-6) - (-3)\/6. Let n(j) = -j - 5. Let u be n(-8). Let p be ((-2)\/u - -1)*3. Which is the third biggest value? (a) l (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k)\/(k\/(k\/k**3*k))*(k\/(k*k**4))\/(k\/(k*k*k**0*k)) assuming k is positive.\nAnswer: k**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/5 of a litre?\nAnswer: 12200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -1178\/3 - -393. Let u = 3 + -4. Which is the closest to 0? (a) r (b) u (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30576049*l**4 + 34711*l + 401 wrt l.\nAnswer: -366912588*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*u - 3 = 8, -4*t = 4*u - 8. Let x = -4 - t. Let r(m) = -16*m - 4. Is r(x) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**3 + 314*t**2 - 8366*t - 332682 = 0.\nAnswer: -21, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7477 = -5*m + j, 139*m + 7492 = 144*m + 4*j. Is 34 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 1850, 4 in increasing order.\nAnswer: -27, 4, 1850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -27a4658?\nAnswer: -27a4655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 9, 4\/5, 34895?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 118 and 2183.\nAnswer: 4366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/3275 and 91\/40.\nAnswer: 26200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t + 34. Let n be i(-7). Let g(b) = 7*b + 1. Let v be g(6). Let j = n + v. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**3 + 39851*s**2 - 79705*s + 39853 = 0.\nAnswer: -39853, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -308603, -308631, -308657, -308681?\n\"Answer: n**2 - 31*n - 308573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-6)*810\/945. Let c be -1 + (-2 - -7) + -2. Solve -z*s = -c*h + 8, s - 4*h - 3 = -4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 141 and 46?\nAnswer: 6486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -733.2 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/15 and -17\/3360?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -3*w**7\/7 + 151*w**6\/6 + 217*w**3\/3 + 3*w + 726. What is the third derivative of c(t) wrt t?\nAnswer: -360*t**3 + 9060*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-1\/5))**(2\/61)\/((q\/(q\/q**(-6))*q)\/q**(2\/3))*q**(-5)*q\/q**8*(q**(-2))**0 assuming q is positive.\nAnswer: q**(-5729\/915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (135\/(-60))\/(9\/(-3156)). What are the prime factors of d + -2 + -18 + 25?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/241, 4, -15, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*r - 244*r - 98*r - 152*r in the form f*r + n and give f.\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5828094*c**2 - 210586*c + 8 wrt c.\nAnswer: -11656188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6 + 5 + s**2 - 4 - 8. Let h(p) = -p**2 - 3*p + 2. Suppose -3*u = -r - 8, -21*r = 5*u - 16*r. Calculate u*q(w) + h(w).\nAnswer: w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -33. Let x = j - -5. Suppose -5*p - 29 = 3*q, 2*q + 0*q = -2*p - 14. Which is the nearest to -0.1? (a) p (b) -2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 8\/(8\/3). Solve 0 = -i*p - 4*c, 3*c + 5 = -2*p - 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15 from -1.46.\nAnswer: 13.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3912627 divided by 1\nAnswer: 3912627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -16311, 4 in descending order.\nAnswer: 19, 4, -16311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 6*o**2 - 4*o - 2. Let s be f(5). Let p(q) = q**2 - 2*q. Let b be p(0). Suppose b = -r + s*r. Is r smaller than 1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10605361 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1708.3 to the nearest 10.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3 + 1 + 0 + sqrt(1700)*-2 + 5)**2.\nAnswer: -400*sqrt(17) + 6900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*x**3 + x + 59*x**3 - 31*x**3 + x**4 - 2*x**4 - 3*x**2 - x**4 as g*x**3 + q*x**2 + y + r*x**4 + p*x and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76738599.\nAnswer: 3, 7, 367, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 22 = -l - l, 16 = 5*l - 3*m. Let j(v) = -l*v + 3*v + 4*v. Let a(q) = 0*q + 93*q**2 + 0*q - 100*q**2. Determine j(a(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5\/3 (b) 1.76 (c) 1\/5 (d) -1.2 (e) 3 (f) 0 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138490 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 21. Let b = 42 - 26. Calculate the least common multiple of g and b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 325.6 times 1\nAnswer: 325.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4820331463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5*464\/(-812)*1\/(-4)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 a factor of 76239114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 37456348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y - 19842 = 5*i, 0 = 5*y + 4*i - 24823. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -43*v**4\/6 + 241*v**3\/6 - 7*v**2. What is the derivative of w(a) wrt a?\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48231050 divided by -5\nAnswer: -9646210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -370*g**4*w**3 + 3*g**4*w**2 - g**2*w - 106*g*w**3 wrt g?\nAnswer: -8880*g*w**3 + 72*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 1 - 1)*(0 + 0 - 2)*(-13*c - 4*c - 2*c)*((1 - c - 1)*(5 - 2 - 2) - 13*c - 3*c - 3*c).\nAnswer: 1520*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -339, -2, -4\/7, 2\/7, 19 in descending order.\nAnswer: 19, 2\/7, -4\/7, -2, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (y**2 - 5*y**2 + 3*y**2)*(0 - y + 0) - 6*y**2 - 4*y**3 + 6*y**2 in the form w*y + a + t*y**3 + b*y**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1560*w + 2*d = 1555*w + 2618, -3*w - 4*d = -1554. Calculate the remainder when w is divided by 138.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2691, 2689, 2685, 2679, 2671, 2661, 2649?\n\"Answer: -g**2 + g + 2691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7512 times 69?\nAnswer: -518328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3351665 (base 10) to base 3.\nAnswer: 20022021121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 304346512?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1217.2 + 1217. Suppose 4*j = -0*j + 12, -24 = -3*h - 4*j. Let s be h\/(-24) - 141\/126. Which is the third biggest value? (a) s (b) -2\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -68. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32275 + 66375. Round m to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-2) + 0 + 20\/(-8). Let f = -8298.91 + 8300. Which is bigger: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14656684 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3 - 613 - 601 + 1222 + 6*i**2 + 12*i = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 298 = 2*o - 2*m, 2*o = -3*m + 288. Suppose -o = -3*t + 2*t. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 8*f + 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 282276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -18855*m + 346. Calculate y(0).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 1. Let n(r) = -x*r**3 - 3*r - 4*r**2 + 0*r**2 + 4 - r**2. Is n(-3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*2*sqrt(180))**2*6 + -4.\nAnswer: -21604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363)*-1*-4 + -3.\nAnswer: -3 + 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/154)\/((-4)\/22)*663\/26?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 79\/(3*1\/(-1)). Let t = m - -26. What is the smallest value in 2\/7, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((10*i**2 - i**2 + 0*i**2)*(-43*i**2 - 15*i**2 + 10*i**2) - i**4 - 4*i**4 + 4*i**4 + (2*i**2 - 2*i**2 + i**2)*(i + 6*i**2 - i))*(3 - 3 - 2).\nAnswer: 854*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 8. Let a(d) = 6*d**2 + 5*d. Let c(k) = 5*k**2 + 4*k. Let q(f) = b*c(f) + 4*a(f). Let n(l) = -15*l - 17*l + 54*l - 8*l - 8*l. Give q(n(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2575 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 585\/11 + (-34)\/187. Let g = 50 - t. What are the prime factors of 758\/14 - g\/(-21)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130 (base 6) to base 8.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19600 and -1?\nAnswer: -19600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3560*q**2. Let x(p) = 83*p. Give x(n(v)).\nAnswer: 295480*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k - 4. Determine a(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*k + 37*k + 24*k + 4*k - 5*k as h + p*k and give p.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 1 (c) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - (1 + sqrt(272))) + 1 + 0 + sqrt(17) + 0 + -5)**2 + -3*sqrt(2057)*1 + (sqrt(425) + -1 + sqrt(425) + sqrt(425) + 2)**2.\nAnswer: -13*sqrt(17) + 3868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = z - 6*z. Suppose -4*n + 32 = -5*m, 0 = z*m + 2 + 18. Let f be n\/(-2 + (-10)\/(-4)). Calculate the greatest common factor of 4 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*c**3 + 11 + 2 - 156*c**3.\nAnswer: 6*c**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(2\/36*9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 892, 2\/7, -8\/17?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwv when three letters picked without replacement from vhhiqwwiwhwwhwh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 * 22.8786\nAnswer: -3.43179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(33\/(-4)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*h - 177 = -161, -s = -3*h - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(-22)*c)\/c)*c)**41 assuming c is positive.\nAnswer: c**984","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (512\/80 + -6)*10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32645803*i**2 + 50621684*i + 2 wrt i.\nAnswer: -65291606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1185, 9579, 32373, 76767, 149961, 259155, 411549, 614343?\n\"Answer: 1200*k**3 - 6*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -9*g**2 + 3*g**3 - 2*g**3 + 9*g**2 - 6. Let a(f) be the first derivative of -2*f**3\/3 + 1. Give m(a(l)).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/5, 78, 2\/13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(3\/7)\/m))\/m**(-5\/3))\/((m\/(m*m\/m**4*m))\/m*(m*m*m*m**(-1)*m*m)\/m)*((m**(-3)\/m)\/(m*m**(-4\/7)\/m*m))\/(m*m**(-1\/3))**(2\/21) assuming m is positive.\nAnswer: m**(-331\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 90583843 to the power of 1\/3, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upbbbbpub. What is prob of picking 2 p?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23725 and -0.2.\nAnswer: -23725.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-1) - (18 - 17). Which is the third biggest value? (a) 67 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + -9. Let p = z + 33. Suppose 4*g + 5*u = -p, 2*g + u + 1 = 2. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1.2895, -3, -19?\nAnswer: -1.2895","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1606189, -1606188, -1606187?\nAnswer: -1606186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 38*w**2 + 483*w + 148. Calculate x(-48).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13848649943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*g**3*q*z - 2*g**3*z**2 + 7*g**3 - 2864503*g**2*q*z**3 - 18*g**2*z**3 - 58*g*z**2 - 2*z**3 + 14*z**2 wrt q.\nAnswer: 6*g**3*z - 2864503*g**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10335 and 544908.\nAnswer: 144400620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 42, 71, 100, 129?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*s - 4*w, 5 - 4 = -s - w. Solve 2*r - v - 2 = 0, r - 6*v + s = -8*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 + 1390*b - 11213. What is m(8)?\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzpa when four letters picked without replacement from {z: 2, p: 1, o: 1, a: 5}.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o**2 - 22*o + 16. Let k(x) = -x + 2. Let m be k(-6). Let l be c(m). Suppose 6*u - l = 2*u. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -801 - -4?\nAnswer: -797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -266 + 529 - 79*h - 263 - 7*h + 3*h + 2*h + (4*h - 3*h + h)*(0 - 1 + 0) + 3*h - 5*h - h.\nAnswer: -86*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htt when three letters picked without replacement from {t: 3, h: 8}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 557652 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*i + 44. Suppose -i*h + 15*h = 4. Suppose -h*v = 5*v + 5*v. Solve 25 = -4*s + s + 5*z, v = 2*s + 2*z + 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101393 + 0.07513481?\nAnswer: -101392.92486519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 32 = -4*s, -3*s = -2*q - 14 + 1. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 1063968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 79\/((-170)\/(-12) - 14). Calculate the highest common factor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/21)\/n**(-2\/17)*n*n**9*n*n*n\/(n*n*n\/(n*n\/(n\/n**(-2)))))**(-2\/95) assuming n is positive.\nAnswer: n**(-6578\/33915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x. Let k be t(-7). Let l be k\/(-70) + 1\/(-5). Suppose l*a + 22 = 5*a + 4*c, -38 = -5*a + 4*c. Solve 9 = 3*g - a*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129 - -131. Which is the biggest value? (a) 1 (b) -2\/3 (c) -1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niniiqijinnfjiffq. What is prob of picking 2 j?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 7:23 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7115 is divided by 2363.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 35. Calculate the remainder when d is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-1 + 0 + 4)*(8 + 2 - 8)*(-115*n + 55*n + 56*n + n**4).\nAnswer: 12*n**4 - 48*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3003315 + 3?\nAnswer: 3003321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 8*i**2 - 7*i - 2. Let s be n(-7). What is the common denominator of (1 + s)*201\/(-12) and 30\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 9*x**5\/10 - x**2 + 45*x + 7. Let s(a) = 30*a. Calculate j(s(u)).\nAnswer: 48600*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108.5168ml to litres.\nAnswer: 0.1085168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118 - 115 + 39)*(0*h**3 - 8*h**3 + 2*h**3).\nAnswer: 1164*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -44441324 (base 5) to base 3\nAnswer: -201211021101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 42248\nAnswer: -13\/42248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2165.754ml in litres?\nAnswer: 2.165754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**6\/600 + u**5\/75 + u**4\/120 - 2*u**3\/15 + 3*u**2 + 3. Find s such that x(s) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 * -0.329.\nAnswer: -0.05264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4440.729 + 36.894\nAnswer: -4403.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccbfcbfbdc. What is prob of sequence dcf?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = i. Calculate the remainder when 1 + 2\/1 + i is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 12 - 87*a**2 - 2 + 90*a**2.\nAnswer: 3*a**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*r + 3 + (4 - 2 - 3)*(0*r + 2*r + 0*r) + 4 - 4 - 2*r + 5*r - r - 3*r + (0 - 4 + 2)*(-3*r + r + 0*r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 3837?\nAnswer: 84414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2583126 and 4.\nAnswer: 5166252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1, 15, 345, -5\/3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-202)\/3)\/(10\/(-135)) + -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2. Let p(z) be the third derivative of z**7\/2520 - 7*z**6\/240 - 83*z**4\/24 + 3*z**2 - 36. Let l(f) be the second derivative of p(f). Give l(w(y)).\nAnswer: y**4 - 21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5064 - 1072. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21314 - 149180\/7. Factor 0 - 20\/7*q**2 + p*q + 2\/7*q**3.\nAnswer: 2*q*(q - 9)*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 131*l - 3210. Give m(-21).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/2)\/(23\/322) + 2049\/(-258) and -83\/6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**3 + 36277815*z**2 + 18 - 36277815*z**2 - 16.\nAnswer: -12*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 149827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) -11 (c) 311\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 5*d**2 - d - 1. Let l be s(-5). Suppose 4*z = 5*z. Suppose z*q + 2*h + 4 = 2*q, 0 = -2*q + l*h - 2. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*i + b, 2*b = 3*i - 0*b - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*i = 3, 13 - 4 = 5*k + 3*i. Let t(o) be the first derivative of o**4\/4 - o**3 - o**2 + 4*o + 1. Give t(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 25339906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n*n*n**6*n)\/n)*n**(-15)*n\/n**(16\/3)*n**(-1\/44) assuming n is positive.\nAnswer: n**(-3479\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8550 is divided by 1712?\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -42132 (base 9) to base 8\nAnswer: -66244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6565.0264 - 6564. What is d rounded to 2 dps?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15790947?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37, -27, 5, 71, 183, 353, 593?\n\"Answer: 2*f**3 - f**2 - f - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 13*w - 30. Suppose -o + w*o = 30. Let m be (-200)\/(((-18)\/o)\/6). What is m rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 8:33 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16393571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (88\/8 - -6). What is the second biggest value in 1, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134266 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 60 (b) 2 (c) 43\/4 (d) -1 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 425462707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 347 - 352. What is the third smallest value in -2, 2\/19, a, 63?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.76 - -0.56. Let t = 847\/4 - 211. What is the second biggest value in t, 3, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 + (-9 - -11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/4 and 10\/(-14) - (-14925)\/42700.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 2:56 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*sqrt(468))**2.\nAnswer: 421200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 3)*(2*t + 25 + 7 - 9)*(-224 - 2*t - 219 + 465) to p*t**2 + i + n*t and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-43 + 18)) + -12 - -30?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -392, 1, 0.21 in descending order.\nAnswer: 1, 0.21, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**4*y + 114*h**4 - 13*h**3*y + 9702*h**2*y - 8*h*y wrt h?\nAnswer: -96*h*y + 2736*h - 78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1870 or 1?\nAnswer: -1870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + x**2 - 29*x - 11. Determine p(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 176594767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (2 + 5 - 5 - 4) - 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + u**3 + 0*u**2 + 1 + 14*u**4 - 11*u**4 + 0 to g*u + d*u**2 + j + b*u**4 + c*u**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 0.3 (c) 0.6 (d) 30 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433960997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 4 (c) -5 (d) -13.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -x. Suppose 4*z + z + 4*k = 17, -2*z - 5*k = x. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127403 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 186*r - 1. Determine m(3).\nAnswer: 557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012160177261 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -55601, -4, -67, -5 in descending order.\nAnswer: 5, -4, -5, -67, -55601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.066+-6.94552\nAnswer: -8.01152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ltwlclt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18976428, -18976442, -18976464, -18976494, -18976532, -18976578?\n\"Answer: -4*b**2 - 2*b - 18976422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -6. Calculate the remainder when ((-4)\/c)\/(6\/207) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3, 2*d + 3 = -0*i - i. Suppose -q + 450 = 4*n + 169, -i*n + 3*q + 207 = 0. What is the remainder when 276 is divided by n?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 577? (a) -2 (b) 1 (c) -2\/1377\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 199\/4 - 57\/2. Let c = 2179\/132 + 8\/33. Find the common denominator of t and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 265689977?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -35772 times 0.2?\nAnswer: -7154.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -46 + 322. Let x = 159 + r. What is the remainder when x is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 - 4 - (8 + -3). Suppose h*s - 11 = -4*r, -5*r = -0*r + 2*s - 5. Let w(l) = -l**2 - 2*l - 4. Let k(t) = t + 1. Give r*w(q) - 3*k(q).\nAnswer: q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2)*s)**(-11\/3)*s*s**(-8)*s*s**(-2\/3)*s assuming s is positive.\nAnswer: s**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/3559 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 2*k**2 + 2*k - 5. What is the tens digit of b(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 - 7*o - 9. Let l(y) = y**2 + 3*y + 4. Let m = 11 - 16. Let p(r) = m*l(r) - 2*d(r). Factor p(f).\nAnswer: (f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.5, 438, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*c - 38, -2*x + 0*c - 58 = c. Let j(o) = -o**3 - 28*o**2 - 29*o - 4. Let g = -12 + 21. Calculate the least common multiple of g and j(x).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.86 + -0.14. What is the second biggest value in h, 2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-18)*12\/(-42)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + a - 20. Calculate the highest common divisor of 15 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*r - 28228300 = 50*r. Let k = r - 925660. Round k to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3278 divided by 1639.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145148663?\nAnswer: 11, 13195333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -785*y + 712*y. Sort y, -31, -70 in ascending order.\nAnswer: -70, -31, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 880 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m. Let h(c) = -c**2 - 501*c. Calculate h(o(t)).\nAnswer: -4*t**2 + 1002*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 309733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11466087 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l. Let z(t) = 5*t - 1. Let f(v) = 3*u(v) - z(v). Give f(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -125*d - 918. What is the smallest common multiple of n(-8) and 41?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h - 4*d + 36, -5*d - 18 = 4*h. Let n be (-8 + 271 - 8) + h. What is the greatest common factor of 16 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1590*o**2*r**2 + 5621*o**2 - o*r**2 + 893802*o + 12*r**2 - 2*r - 1 wrt o?\nAnswer: -3180*r**2 + 11242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i + 155*i - 318 = 17*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {c: 1, d: 9, b: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 2\/3 (c) 6 (d) 7\/3400 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1598\/7 - (-6)\/(-21). Suppose -w = 6*j - 84. Is j at least as big as -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1416966 and -149\/255053880?\nAnswer: 255053880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k\/(k\/k**(-1\/10)))\/k*k))\/k)\/((k\/k**(-17))\/k))\/(k\/((k**(1\/11)*k)\/k))**39 assuming k is positive.\nAnswer: k**(-5759\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 22. Let i = -18.2 - y. Let a be (-42)\/(-35) - (-4)\/(-2). Sort -1, a, i in decreasing order.\nAnswer: i, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (56\/26 - 2) + 450\/(-390). Let g = 0.05 + 0.35. Which is the fourth biggest value? (a) 1 (b) r (c) -2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 13*n - 34 = 0. Let y(s) be the first derivative of -14\/3*s**3 + 0*s + 2 + n*s**2. Find the second derivative of y(i) wrt i.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = p - 6*p + 4*a, 3*a = -3. Let g be ((-8)\/(32\/p))\/(-3). List the prime factors of (((-48)\/(-40))\/(g\/(-45)))\/1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16325\/293 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 165 - 3?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*o + 1003817 = 1005929 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 500247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 277.82 to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12.783 * 0.186\nAnswer: 2.377638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 4 - (-30 - -13).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 5:41 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + 1. Let g = -6 + 5.5. Let m = j + g. Which is the closest to 0? (a) -2 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243561 is divided by 617?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 7:54 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.27 - -0.33. Let q = -43 - -58. Let d = 16 - q. Put -5, d, b in ascending order.\nAnswer: -5, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -285 - -401. Let i = -116 + n. Solve i*k = -2*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4888 + -3148. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 less than 0.014?\nAnswer: -365.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 + 37*r**2 + 15*r - 16. Let l be v(19). Let w = -65 - l. Does 26 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 6*t**4 - 3*t**4 + (-t**2 - 2*t**3 + t**2)*(-2*t + 2*t - 2*t) - 2*t**3 - 3*t**4 + 2*t**3 + 5*t**4 + t**4 - 4*t**4.\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 + 1. Let b be ((-4)\/6)\/((-2)\/15). Let u = 338 + -340. What is the third biggest value in u, i, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47.5 + 51.5. Let v be (-44)\/(-21) + (-1 - 1). Which is the smallest value? (a) -2 (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1709 + 0.179. What is v rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 168 and 347 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 4. Suppose 0 = 2*b - 8, 4*r - 3*b - 16 = 2*b. Let w = 22 + r. Let d = 35 - w. Let o(i) = -3. Calculate d*u(s) + 6*o(s).\nAnswer: 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-273)\/(-84))\/(2\/(-4)). Let d = -15 - -8. Is d less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 256 = -f. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 5*j**2 - 2*j + 4. Let l be h(1). Solve -v + l = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -59 + 17. Let o = r - 43. Is (93\/(-3))\/(o*3\/9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d\/d**(-9))*(d**(-1\/4)*d)\/d*(d*d*d*d*d**(1\/6)*d)\/(d*d**(6\/5)*d) assuming d is positive.\nAnswer: d**(-377\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*w - 16343 + 45593. Calculate the remainder when w is divided by 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*v - 3 = -p, 3*v - 9 = 0. Calculate the highest common divisor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*d + 5*q + 53, q = 5*d + 135. Let s = -23 - d. Find the third derivative of 6*o**2 - 17*o**5 + s*o**2 + 14*o**2 wrt o.\nAnswer: -1020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1099946.79 milliseconds to days.\nAnswer: 0.012730865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 4977?\nAnswer: 4977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*g = 21*g + 657. Let i(b) = -12*b - 9. Let c(k) be the third derivative of k**4\/24 + k**3\/6 + k**2. Calculate g*c(j) - i(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7824250.\nAnswer: 2, 5, 7, 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -233, -352, -471?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4717, 9356, 13913, 18388, 22781, 27092, 31321?\nAnswer: 35468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 13*n**2 + 18*n - 23. Let d be w(12). Let o = d - 39. Solve o*x = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, i: 4, w: 8, p: 1}. Give prob of sequence miwi.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 2*p**2 - 182*p + 182*p - 4*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x. Let c(k) = -k**2 + 356. Let r be c(x). Let a = -243 + r. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 3*c**2 - 8*c - 9. Give b(5).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 24513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 9 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 56*f - 444 = -o, -2*o = -2*o - 3*o - f + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.8 - 6.4. What is the second smallest value in z, 1\/6, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 35459, 35454, 35449?\n\"Answer: -5*x + 35464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0 + 3 + 19*q in the form c + r*q and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 at least 23476\/739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/((-45)\/(-9)))\/34?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -105.1 from 1.91200860024.\nAnswer: 107.01200860024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 30*(64\/3)\/(-32)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.005 - 0.395. Let z = -17\/15 - 8\/15. What is the second biggest value in x, 0, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024)*-1)\/((-2*sqrt(18))\/sqrt(6)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/20 (b) -0.0724 (c) 3 (d) 51 (e) 5 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 46*a**6\/3 - a**2\/2 - 76*a - 26. What is the second derivative of t(s) wrt s?\nAnswer: 1840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, p: 1, q: 1, r: 2, v: 1, w: 2}. Give prob of picking 1 v, 1 p, and 1 r.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = -3*z - 5*t + 3*t, 5*z - t = 433. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -144*h**3 - 64. Let l(c) = -11*c**3 - 5. Give -64*l(g) + 5*n(g).\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6*n - 2 = 3*n, 5*z + 4*n = 66. Let l(m) be the first derivative of -z + 4\/3*m**3 + 2*m**2 + 0*m. Let l(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 17\/10 of a millisecond?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 2, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -28 in decreasing order.\nAnswer: 5, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 6*o**2 + 6*o + 2. Let w be f(-5). Let m = w - -2. Let k be (12\/(-75))\/(1\/5). Which is bigger: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5476 divided by 30314?\nAnswer: 2738\/15157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-314 - (-112)\/(-16))*-1. Put 4, t, 1 in decreasing order.\nAnswer: t, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292528, -292546, -292576, -292624, -292696, -292798?\nAnswer: -292936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.125562 hours?\nAnswer: 0.00523175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75348 = -25*j - 27*j. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 11 = 1. Let q be l*(-3 - (-129)\/45). Let n = 8 - 20. Which is the fourth biggest value? (a) q (b) n (c) 1\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38650561 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -13*z**7\/7 - 32*z**3\/3 + 16*z + 3. What is the second derivative of h(b) wrt b?\nAnswer: -1560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n**2 + 2*n**2 + 7*n - 6*n)*(n - 5*n + 2*n + (-9*n + 4*n - 14*n)*(5 + 0 - 4)) in the form v + b*n + o*n**2 + r*n**3 and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 280 = -6*u. Suppose 0 = -115*r + 347 + 715 + 88. What is the remainder when u is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Let f = 139 - 137.41. Let v = 2.09 - f. Which is the closest to 26? (a) d (b) v (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -44\/3, 8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -42*p + 1296. Let t be s(31). Let z(b) = -22*b - 131. Calculate z(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1667 is divided by 491.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (8 - -2) - -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 17*y + 38*y. Let y - 2\/9*j**2 - 2\/9*j**3 + 4\/9*j = 0. What is j?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2362 is divided by 476.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18900, 18895, 18888, 18879?\n\"Answer: -b**2 - 2*b + 18903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - o**2 + o + 1. Let m = 1 + -2. Suppose 0 = 4*p - 12 - 4. Suppose -2*k = -p*k + 2. Let w(s) = -s**2 + 1. Give k*w(r) + m*j(r).\nAnswer: r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 9:34 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 69371854 = 13*c - 4*n, -4*c = -2*n - 138743720. Let w = -914069 - c. Round w to the nearest 1000000.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6258 - -6306. What is the remainder when 214 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-35)\/(455\/78)*(17 - 1). Let p = 2 - -4. Let g be (2\/p)\/((-2)\/a). What is the greatest common factor of g and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10 + 1155\/120 - 169209\/(-24). What is the greatest common factor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 269309 (b) -26.89 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000011101100101101101 - -10?\nAnswer: -100000011101100101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1245215815*r**6 - 771122627*r**2?\nAnswer: -149425897800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 38 = 5*m - 5*v, -3*v + 20 = 2*m. Suppose 0 = -15*u + m*u + 50. What are the prime factors of (35\/u)\/(-7)*-58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33051 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 24. Suppose -2*k = -m - 42. Let o be (-15)\/(5 - 2) + 20\/((-440)\/(-814)). Calculate the greatest common factor of o and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147120.75 rounded to the nearest ten thousand?\nAnswer: 2150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 + 351 + 137)*(-h**2 - h**2 + 3*h**2).\nAnswer: 400*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601 is divided by 291?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1515, -173.\nAnswer: -173, 0, 1515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 2*v**5\/5 + 7*v**4 - 7*v**3 + 35. Find the third derivative of i(s) wrt s.\nAnswer: 48*s + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b = 2*l - 198, -5*b + 4*l = -280. Let v(j) = j**3 + 23*j**2 + 40*j - 45. Let k be v(-21). Let f = b - k. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45606.\nAnswer: 2, 3, 11, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4 - 1 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -12. Suppose -p*s + 121 = 31. Let u = 39\/2 - s. Is u greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6248 * 17\nAnswer: -27.6216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 + -1 + 673 + -670 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b + 39 - 39 + (2*b - 3*b + 2*b)*(0 + 4 - 3).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 6*f - f + (4 - 6 + 4)*(-55*f - 23 + 23) + 2 - 2*f - 2 + (0 + 0 - 2)*(-1 + 1 + f) - f + 0*f - f + f - 2*f + 2*f - 4*f + 2*f + 0*f.\nAnswer: -114*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -1612*m**3 - 6*m**2. Let g(d) = 2355135*d**3 + 8767*d**2. Give -6*g(v) - 8767*h(v).\nAnswer: 1594*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p**3\/4 + 69*p**2\/2 + 517*p - 1530 = 0 for p.\nAnswer: -10, 34\/13, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 7*j**2 - 30*j - 19. Let b be i(10). Let u(v) = 38*v**3 - 19*v**2 + 19. Let y(d) = d**3 - d**2 + 1. Give b*y(f) + u(f).\nAnswer: 19*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 15582 and -0.04373 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 + 469*n\/3 - 1976.\nAnswer: -(n - 456)*(n - 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1718036, -6872137, -15462314, -27488573, -42950920, -61849361?\nAnswer: -84183902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6 - 7 - 6*k + 4. Let l(v) = -v**3 - 11*v**2 - 8*v + 14. Let z be l(-10). Let w(m) = 2*m + 3. Calculate z*o(q) - 17*w(q).\nAnswer: 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -5, 16, 5 in decreasing order.\nAnswer: 18, 16, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2187194 divided by -254?\nAnswer: 8611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + 27. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (-39 - -20 - 27)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -5*v - 42. Let x(q) = 0 - 4*q**2 - 6*q**2 + 6 + 10*q. Let s(o) be the first derivative of o**3 - 3*o**2\/2 - 2*o - 102. Give v*s(z) + 2*x(z).\nAnswer: z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1316168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10423.33 decades to months.\nAnswer: 1250799.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2528 and 6557.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1459172311?\nAnswer: 997, 1463563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51402 is divided by 2350?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1133*k + 36861. What is n(32)?\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 96\/28 - 3\/7. Solve 0 = -g + 3*j - 4, m*g = 3*j + 2*j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/3)\/2 - 0. Suppose 5*z + 4*m = 0, -2*z = -z + 5*m. Suppose z = 3*i - 11 - r. Solve -9 + i = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + k + 15228, 0 = 36*k - 41*k - 15. What is the least common multiple of v and 8?\nAnswer: 24360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 7*a + 3. Let y be r(6). Let p = -5 - y. What is the units digit of (-1 - p) + -2 + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54667 divided by -674\nAnswer: -54667\/674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 98*i + 4616. What is u(-47)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -70*f**3 - 103*f**2 - 4*f. Let q(h) = -h. Let k(n) = -l(n) + 4*q(n). Find the third derivative of k(o) wrt o.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -9, 31, 107, 231, 415?\nAnswer: 671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - 2 - 4*b - 1 + (1 + b - 1)*(0 + 1 - 3).\nAnswer: -3*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -1\/2, 0.3, -0.038, -0.2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/43472 and -109\/1408.\nAnswer: 347776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1374 is divided by 125?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90088416 divided by -909984.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(88\/66)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1233, -1214, -1195, -1176, -1157?\nAnswer: -1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**6\/720 - l**5\/60 - l**4\/16 - 2*l**3\/3 + 6*l**2. Let z(c) be the first derivative of t(c). Factor z(d).\nAnswer: -(d + 1)*(d + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-90)\/(-180) + 1183\/2?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from {h: 4, r: 11, q: 3}.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384673 is divided by 17484.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -42*f - 89. Give u(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -385, 0, -5, 833 in ascending order.\nAnswer: -385, -5, -2, 0, 3, 833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*n - 199*n = 7203 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20, -31, -176, -463, -940, -1655?\n\"Answer: -8*f**3 + f**2 + 2*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d = 13*d - 4*r + 14, -4*r - 7 = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/5)\/(-20 - 1). Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, l: 2}. Give prob of picking 1 l and 3 r.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = t + 8, 3*b = 6*b - 4*t - 29. Let w(u) = 37*u - 13. Let p be w(b). What is the greatest common factor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aq when two letters picked without replacement from {a: 3, q: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**2 - 1. Let i(v) = v**2 + v - 1. Let q(h) = -6*h**2 - 4*h + 4. Let g(p) = 4*i(p) + q(p). Give g(r(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f - 5. Let x(n) = -5*n - 15. Suppose 0 = 5*v - 5*s - 85, 4*v + 4*s = 3*v + 17. Let j(o) = v*m(o) - 6*x(o). What is j(6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**7\/2520 - b**6\/40 + 19*b**5\/120 + 61*b**4\/24 + 125*b**2. Let v(a) be the second derivative of x(a). Factor v(l).\nAnswer: -(l - 1)*(l + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5327?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 756.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 + 7*w**2 + 3*w - 7. Let b be l(5). Let r = -63 - b. Suppose 6*i - 3*i = -r*i. Solve i = -u + 3*v - v - 6, -5*u - 2*v = -18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*b**3*q**3 - 2*b**3*q + 2*b - 3*q**3 - 9*q**2 wrt b.\nAnswer: 318*b*q**3 - 12*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 370164 (base 9) to base 13\nAnswer: 7a7a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.6 + 11. Let r = y - -3.5999981. Round r to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*m + 10962 + 18746 + 2052 = 1126*m for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 2*j**2 + j + 2. Suppose -k + 4 = 0, 14*k = 5*a + 12*k - 7. Give u(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1aa + -a?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 38*r - 195. What is the smallest value in r, -1200, -3, 3, -4?\nAnswer: -1200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -18. Suppose -101 = -3*x - 3*i - 23, 2*x = 2*i + 60. Suppose -4*u + x = 3*u. Which is the second biggest value? (a) 5 (b) o (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00417 to 4 decimal places.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3662 and 452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -142516 - 1?\nAnswer: -142517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1225 + 1.1225. Which is the closest to -3? (a) k (b) 1\/2 (c) -4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-189))\/((-5)\/(-15)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**4\/4 + 53*i**3\/6 + 10*i**2 - 4*i + 2. Calculate the lowest common multiple of 6 and z(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65260974.9 to the nearest 10000.\nAnswer: -65260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*x**5 + 20*x**4 + 105*x**3 - 80*x**2 - 20*x = 0. What is x?\nAnswer: -2, -1\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -4 (b) -0.2 (c) -1\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(147) - (-3 + sqrt(147) + -3) - sqrt(147))*-1*-6.\nAnswer: -252*sqrt(3) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.579 + -0.079. Let w = -21.4 + 22. Let a = w + -0.3. Sort a, c, -0.2 in descending order.\nAnswer: c, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.042807 rounded to 0 dps?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1539) + -4 - (sqrt(1539) - ((sqrt(1539)*5)**2*-2 - sqrt(1539))).\nAnswer: -76954 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + (3 + 13 - 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(5\/9)*(b\/(b*b**(-2\/5)*b*b))**(2\/11)*(b*b**(-10)*b*b**5)**(-25) assuming b is positive.\nAnswer: b**(36706\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i**2 + 408*i - 10412. Let n(t) = -7*t**2 + 408*t - 10410. Let r(s) = -4*n(s) + 3*v(s). Solve r(o) = 0.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 244 - 133. Suppose l - 66 = 3*s. What is the third derivative of -u**2 + 7*u**2 - 10*u**2 - 8*u**6 - s*u**2 wrt u?\nAnswer: -960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41162558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 4*x = 0. Suppose 72 = -43*k + 44*k - 4*j, -k = 4*j - 88. List the prime factors of k + 1 + x + (-96)\/24.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0022389951 rounded to 6 decimal places?\nAnswer: -0.002239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 2*f**2 + 22257*f - 22257*f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-10))\/(u\/(u*u\/(u*u**(1\/8)\/u))))\/((u*u*u**1\/u)\/u)**(-16\/7))**4 assuming u is positive.\nAnswer: u**(793\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5 - 25 = -d, d + 4*p = -8. Suppose s - 4*y = 270, -d*s + 11*s - 746 = -4*y. What is s rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5 - 12\/5*b**2 - 3*b - 3\/5*b**3.\nAnswer: -3*(b + 1)**2*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3672*i**4 - 44*i**3 + 173914*i**2.\nAnswer: -88128*i - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2) + 1 + -1 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7882 - 11980.\nAnswer: -4098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 7:30 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011200121210 (base 3) in base 15?\nAnswer: 17c429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23838 and 348.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1335*x**2 + 4*x. Let g be o(1). What is the greatest common divisor of g and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 4*i + 18. Let l be b(6). Let r be ((-55)\/(-15) + 5)\/(l\/(-9)). Let c be (160 - 2)*(r - -23). Round c to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 118880?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-25 + 19 + 2*u + 8) + 3*u - 7*u + 2*u + (-1 - 4 + 4)*(u + 2*u - 2*u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2*3\/15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6903 is divided by 994.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -16, 0.5, 1, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 30 = -6*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*o**2 - 9*o + 149.\nAnswer: -16*o - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4, -3, 1.783 in ascending order.\nAnswer: -4, -3, 0.2, 1.783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(144\/(-84))\/3*84\/232?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4 + 1300*h**3 + 1298*h**2 - 1300*h - 1299 = 0. Calculate h.\nAnswer: -1299, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 500026 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9078?\nAnswer: 2, 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -224\/45 + 52\/9. What is the second biggest value in q, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 9:02 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8696*y - 8199*y - 8191*y + 25084*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*c**4 - 1 + 2*c**4 - 11*c**4 wrt c?\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/3 and -40\/276437?\nAnswer: 829311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**4\/12 - 7*f**3\/6 - 7*f**2\/2 - 11*f. Suppose 1 + 11 = 3*l + 4*z, 2*l = 2*z + 22. Give p(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25641?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.644909 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 145824, 291625, 437426, 583227?\n\"Answer: 145801*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10*v**3 - 118*v**2 + 23*v - 15. What is z(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*8\/(-108)*54\/90.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2312 + 2431. What is the smallest common multiple of f and 3?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 120 + 274. Is 23 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(560))\/(1*3*sqrt(7)))**2.\nAnswer: 320\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = o - 7348 - 18264, 20512 = 4*g - 2*o. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*h - 64*h = -3898 + 1168 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19b63 (base 14) to base 9\nAnswer: 108576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(1 + 6*u - 1) + (-4 + 1 + 2)*(2*u - 6*u + 2*u + 1).\nAnswer: 8*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 296*j**2 + 2*j - 149*j**2 - 159*j**2 - 13*j**3 + 37*j**3 - 1 in the form t*j**3 + g*j + u*j**2 + h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 85578.\nAnswer: 427890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*u - 38, -u + 43 = -4*u + p. Let a = u + 15. Solve a = r - 4 - 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 341*q**2 + 723*q + 12699. What is v(-343)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:34 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 117205 - 47377 = 0. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031 divided by -677?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 1:37 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 547760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i + 2. Let r(p) = -p. Let h(u) = -f(u) + 4*r(u). Differentiate h(a) with respect to a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17776*g**2 + 292 + 517 + 20205*g**2 wrt g?\nAnswer: 4858*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/50)\/((-261)\/(-435)). Which is the nearest to 2\/3? (a) -26\/31 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408424, 816849, 1225276, 1633705?\nAnswer: 2042136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 14*k + 84 = 0. Suppose -19*y = -k*y - 375. Calculate the remainder when y is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*r**2*x*y - 3*r*x*y - r*x + 2*x*y + 4*x wrt r?\nAnswer: 8*r*x*y - 3*x*y - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-3)\/(12\/(-16))).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i - 22. Let f(w) = 3560*w - 89. Calculate f(z) - 4*v(z).\nAnswer: 3568*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20320997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i - 16 = 0. Suppose -i*g + 179 = 3*u, -2*u - u = -5*g + 217. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j + 0*j - 3*j)*(-1 + 2*j + 1)*(-2*j - 2*j - j) + 5*j**3 + 2*j**3 - 3*j**3 in the form a*j + f*j**3 + s + i*j**2 and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/7*o**5 + 23\/7*o**2 - 23\/7*o**4 - 51\/7*o**3 + 50\/7*o = 0. What is o?\nAnswer: -2, -1, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.728476 months in decades?\nAnswer: 0.0727373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 16 = 4*v, -4 = 4*v + 16. What is the highest common factor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20870553?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + 2.6. Let f = -60935 - -60923. Which is the nearest to 0? (a) n (b) 4 (c) 0.4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63934 = 1414*u + 563*u - 402*u - 2509 for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 449 + -448.95. Let t be (-2)\/(-9 - (0 + -1)). Which is the nearest to t? (a) x (b) 0.5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z**4 - 8*z**3 + 8*z**2 + 13*z + 5. Let v(u) = 4*u**4 + 4*u**3 - 4*u**2 - 6*u - 2. Let l(h) = 2*t(h) + 5*v(h). Determine s, given that l(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*b = -2*u + 17, -4*b = -u + 14. Suppose 0*w = -w + u. Suppose 4*a - 3*a = w. Solve 5*g - 3*z + 25 = -0*g, 4*z = -2*g - a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**3\/3 - 15*b**2\/2 - 23*b - 2. Let i be k(-13). What are the prime factors of -1 - (2\/(-2) + -27 + i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5367 + 5374. Solve -b = 13*o + 19 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4682064265?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/12*((-3)\/9)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*1438\nAnswer: 431.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-3 + 2)) + -1 + (1416 - 1447).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -326, -338, -358, -386?\n\"Answer: -4*p**2 - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -168 and -13666?\nAnswer: 13498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16 - 2)\/(6\/(-40)). Suppose -23*v - 3489 = -6272. Let p = v - o. Solve -x + p = -1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -9.2 (c) -6\/7 (d) 0 (e) -2\/15 (f) 4\/7 (g) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9 - 23)\/(-64))\/((-2)\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 take away -329952746?\nAnswer: 329952628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2489 - 77*m**3 + 606*m**3 - 156*m**3 + 554*m**3 + 152*m**3 wrt m.\nAnswer: 3237*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 109*a**2 + 6*a - 1. Let z be o(1). Suppose 4*q + 30 - z = 0. Let j(y) = 11*y**3 - y**2 + y. Calculate the remainder when q is divided by j(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 56, 2 in decreasing order.\nAnswer: 56, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17814778?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 79*l**2 + 42*l - 23. Calculate r(39).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(252))*-5)**2 - (-4*(-1*sqrt(252))**2 + sqrt(252) - sqrt(252))) + 1 + (1 + (-3 + sqrt(7))**2 - sqrt(7)) + 0.\nAnswer: -7*sqrt(7) + 7326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1618.\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3 + 145203*w**2 - 580776*w + 580764 = 0. What is w?\nAnswer: 2, 48397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**2 - 2*s**2 + s**4 + 2 + s**3 - 1 - s**4 + 2*s**4 + s**4 + 7*s**4 - 6*s**4 + 7*s**4 + (-s**3 + 5*s**3 - 3*s**3)*(-2*s + 6*s - 2*s) + 2*s**4 - 4 + 4.\nAnswer: 15*s**4 + s**3 + 3*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15643 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-243)\/(-54)*-4*2\/(-306)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -40d (base 15) to base 2\nAnswer: -1110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34 - 29475\/(-945) - (10\/6*-3)\/3\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3775658 is divided by 193?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 + 2.24. Let u = -0.2 + x. Suppose -2*f - 2*f - 3*t = -11, -3*t = 2*f - 13. Put u, 0.05, f in ascending order.\nAnswer: f, 0.05, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13285095 and 390.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 3, -2, -4, -1 in decreasing order.\nAnswer: 3, -1, -2, -4, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8907*v**3 - 2*v**2 - 6*v + 8. Let l be z(4). What is l rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -10.959. Round x to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 c, and 1 m when four letters picked without replacement from cccrmpttcctccvccrpvp?\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 788036863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + m - 9 = 2*m, 0 = -2*f - m + 5. Solve -5*o + 13 + f = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 329344 + 89?\nAnswer: 329400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4854205 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*x + 81*x + 88*x - 1388 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (1 - 0) - 4 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (2 - -4) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 + -85.5. Let f = -21 + i. Let u be 3 + (-112)\/(-8)*(-4)\/8. Which is the nearest to 2\/3? (a) -9 (b) u (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 10 = -86. Let h be (16\/6 + 1)\/((-16)\/i). Suppose -5*o + 5*l = -155, -o = 2*l + l - h. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 4*d - 2*d)*(d - 1 + 1) + 112*d - 15*d**2 - 112*d + (2*d - 3*d - d)*(2 - 2 - d).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2.6, 5.8 in increasing order.\nAnswer: 2.6, 5.8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 12 - 4*d - 5 in the form b*d + p and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2083944, 4167899, 6251854, 8335809, 10419764?\nAnswer: 12503719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4930, -0.3, 2\/11, 1\/4, -2, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2856 - -3425. What is the remainder when v is divided by 69?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - sqrt(10)*2)*2 - (-1*sqrt(250) + sqrt(10)))\/(sqrt(242)*1*5 - -4*(-2*sqrt(242) + sqrt(242) + sqrt(242))).\nAnswer: 2*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 5 + 1)*(0 - 1 + 0)*(-73*z + 145*z + 197*z) - 2 - z + 2 to i*z + t and give i.\nAnswer: 1882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -2*k + 16. Calculate the common denominator of (-80)\/3 + 0 + 2 and k\/12 - 28\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6 = 2*v, 0 = -4*i - v + 70. Calculate the greatest common divisor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 10 + 0 + (26 - 31).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + -66. Let i = -136 - v. Solve -i = 5*q - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m = -3*a - 19*m + 42, 24 = 3*a + m. Factor 0*g + 57\/7*g**4 + 0*g**2 - 18\/7*g**3 - 9\/7*g**a + 0.\nAnswer: -3*g**3*(g - 6)*(3*g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 12:43 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-12)\/(-40))\/(185\/215 + -1) and (-41)\/4 + 2 + -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5688051448.\nAnswer: 2, 711006431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d**(14\/3)\/d)))\/d)\/(d\/d**20)*(d\/(d*d**(-27)*d))**(-2\/163) assuming d is positive.\nAnswer: d**(10439\/489)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*o + 13150 = 92*o + 55374 for o.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -8941.\nAnswer: 26823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((5*sqrt(325)*1*-5 - (sqrt(52) - (sqrt(364) + 2*sqrt(364))\/sqrt(7))\/(sqrt(16)\/sqrt(36)))**2 + 1).\nAnswer: -1104564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g + 3532 = -4433. Calculate the highest common factor of g and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 3*a = -12, -3*h + 2 = 4*a - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -123117.42 plus 0.01?\nAnswer: -123117.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005473169 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p. Let s(k) = -10*k**2 - 5*k. Let o(d) = 10*d**2 + 4*d. Let y(z) = 5*o(z) + 4*s(z). What is v(y(t))?\nAnswer: 70*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - v + 9. Let z be m(0). Let t(u) = -u**2 - 13*u - 12. Let d be t(-11). Which is greater: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -1, 0, 2, -2\/433 in decreasing order.\nAnswer: 24, 2, 0, -2\/433, -1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -1 + sqrt(3))*2 - 2*sqrt(3)*-2.\nAnswer: -2 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/126441359 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1213*x**2 + 4849*x. Suppose 0 = 4*w + 12, 0*h + 2*h - 129 = -3*w. Suppose 0 = 5*s - h - 1. What is the least common multiple of c(-4) and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*g = 2*g + 12, 0 = 5*g + 10. Solve 0*s = m*s + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-6)*(-45)\/5*(-572)\/(-26).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 278 and 278.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4*c**2 - 2*c**2)*(-71 + 71 - 5*c).\nAnswer: -10*c**3 + 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 44 = -8*g + 9*g, -4*w - 32 = -4*g. Is -26\/55 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1557469 is divided by 715.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8498204.55872002 - 1.14127998. Let f = j + 8498212.7000046. Let t = 7 - f. Round t to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/15 - -2) + 4\/(-10). What is the highest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 7 = 3*m. Suppose -2 = m*s - 6. Differentiate 0*u**2 + s - u**3 + 0*u**2 wrt u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*61\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-91 - 0)\/((-34)\/(-34)). Let u = -66 - n. Suppose u*x - 75 = 10*x. Solve -x*v - 20 - 5 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -87, -83, -71, -51, -23?\n\"Answer: 4*m**2 - 8*m - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -12*a + 5*r + 17010, -2*a = -3*r - 17026. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 20, 2, 8, -16 in increasing order.\nAnswer: -16, 2, 4, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -7091.\nAnswer: -709.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.93 - 0.07. Let s = 1.94 + c. Let d = -0.06 - s. What is the closest to 0 in d, -0.3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvrvvlvjlvvvvvvlj. Give prob of picking 1 l and 1 j.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237605 divided by 2.\nAnswer: 237605\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*g + 24 = -2*i, 5*i = -2*g - 40. Let m = 10 + i. Suppose -67 - 13 = -m*p. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9858 - -9857.99965023. What is k rounded to five dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(700) - (0 + sqrt(700))) + -3 + -1)*-4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 1 (c) -3\/2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9254\/(-13220))\/((-98)\/5).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*w + 21*w - 25 + 5*w with respect to w.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 33*n + 211. Let k(u) = -16*u - 122. Give 13*k(w) + 7*t(w).\nAnswer: 23*w - 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 22*a - 46. What is h(-20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46448429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c + 16. Let s(m) = -3*m - 12. Let t(g) = o(g) + 2*s(g). Let u be (-5)\/(((-12)\/(-9))\/(-4)). Suppose 0 = -4*a + 9 + u. What is t(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 36*q - 36. Suppose 0 = -2*z + 4*z + 8. Let g(c) = -7*c + 7. Let u(o) = z*k(o) - 21*g(o). Find the first derivative of u(r) wrt r.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 4*u = -20. Let a = 5 + u. Solve -x = a - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 4:36 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 10*a. Let u(p) = -72*p + 3. Let i(n) = 44*n - 2. Let o(d) = 5*i(d) + 3*u(d). Determine f(o(y)).\nAnswer: 40*y - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = t - 3*t, -t + 6 = -b. Let g be (-2)\/(4\/(1 - 3)). Sort 4, b, g in descending order.\nAnswer: 4, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.02 (c) -80\/9 (d) -7769\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + b + 3. Let s be t(3). Let q be ((-4)\/s)\/(-2 - (-80)\/15). Factor 0*n - 1\/5*n**4 + 0 + q*n**2 + 1\/5*n**3.\nAnswer: -n**2*(n - 2)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18292, 36879, 55466, 74053?\n\"Answer: 18587*i - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000103152622 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357075215 a multiple of 12943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -509, -494, -469, -428, -365, -274, -149?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11347244?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - 0 - 3 - 3. Let t(f) = -f. Let m(o) = -7*o - 3. Let n(j) = u*m(j) + 6*t(j). List the prime factors of n(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 52*j + 44. Let z be p(4). Calculate the highest common divisor of 966 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/5 + 408*j\/5 + 1197\/5.\nAnswer: 3*(j + 3)*(j + 133)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (564\/(((-10)\/(-12))\/(-5) - (-1150)\/276))\/(-6)?\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.90796cm in nanometers?\nAnswer: 539079600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391756 is divided by 830.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13269 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 84523318\/13 >= 6501793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 41*a + 78. Determine m(-5).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -270*p + 2700. Let l be u(10). Let v(c) = -2*c**3 + c**2 + c + 1. Let b be v(-1). Solve -3*i - 11 = -b*m + 2*i, l = 4*m - 2*i + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*a**2 - 13*a**6 + 32*a**2 - 45*a**6 wrt a.\nAnswer: -6960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2273993147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**3 - 179424*y**2 - 897044*y - 1076424 = 0. Calculate y.\nAnswer: -44851, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -40, 0.4, 5, 14 in descending order.\nAnswer: 14, 5, 0.4, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.3. Suppose 2 + 8 = 5*v. Let o be (-1)\/v*1\/(-2). What is the closest to o in m, 1, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26693 less than -26697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 54.82. Let p = t + 1.45. What is p rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4))**(4\/15) assuming m is positive.\nAnswer: m**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**5 + 0*j**5 + j**5)*(0 + 1 - 2) + (-4*j**4 + 2*j**4 + 3*j**4)*(4*j + j - 2*j).\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**2 + 92419518*k + 711780608946027 = 0.\nAnswer: -15403253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 4*d - 40, -3*d = 2*k - 0*k - 15. What is the remainder when k is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 2*l**2 + 0 + 0*l + 0*l**4 - 1\/20*l**5 + 0*l**3. Let z(b) = 611*b + 4*b**2 - 3*b**2 - 611*b. Calculate k(z(t)).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7372*n**3 - 14838*n**2 + 7560*n - 94.\nAnswer: 2*(n - 1)**2*(3686*n - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-18\/11)\/(u**(3\/11)\/u) assuming u is positive.\nAnswer: u**(-10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8426*j + 10. Let c(o) = -2809*o - 4. What is -8*c(n) - 3*h(n)?\nAnswer: -2806*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 846 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 13 - 35. Let z(n) = -8*n - 5*n + r*n. Let x(f) = -2*f**2 - f. Give z(x(i)).\nAnswer: 4*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.770061 rounded to 3 decimal places?\nAnswer: -1.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -1 + -1 + (sqrt(5) - (-3 + sqrt(5))*4) - 2*sqrt(15)\/(1*sqrt(108)).\nAnswer: -7*sqrt(5)\/3 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d\/d**(-1))))**(1\/14))**(3\/13) assuming d is positive.\nAnswer: d**(3\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 12*s**2 - 3. Calculate f(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**6\/1080 + m**5\/180 + m**4\/72 + 5*m**3\/3 - 2. Let a(s) be the third derivative of z(s). Factor a(h).\nAnswer: (h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4)\/(((-150)\/80)\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 4*w**2 - 1\/5*w**5 - 2\/3*w**4 + 0 + 0*w**3 + 0*w. Find the second derivative of o(p) wrt p.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104140 (base 8) in base 4?\nAnswer: 1020201200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13930589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3099, 2671, 1501, -783, -4553, -10181, -18039?\nAnswer: -28499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -0.5, -0.3, -0.4, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-85 - -56) - 21\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 4*k - 5 = k + 10, -27*k + 125 = -0*o - 17*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(1\/(-2)*6 - -4). Suppose -v = 3*m + 3. Is 3 a factor of -24*(m + (-3 - (-26)\/6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4714?\nAnswer: 2, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i + 28. Give f(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + (-1 + sqrt(833))*-3 - ((0 + sqrt(833) - sqrt(833)) + 1))**2.\nAnswer: -56*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + -2*(sqrt(114)*2 - sqrt(114)) + sqrt(114))\/(-6*sqrt(2)*-2 + sqrt(2)))\/(sqrt(108)*2 - sqrt(21)\/(sqrt(7) + sqrt(28)\/sqrt(4) + sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/98 + (68\/(-14))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*k - 9, 5*k = -5*d + 1 + 4. Suppose 0*s - 3489 = -d*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -7 + (47 - (16 + 13))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -54*o**3 + 72*o**2 - 46. Let x(p) = 11*p**3 - 15*p**2 + 9. What is 6*d(z) + 29*x(z)?\nAnswer: -5*z**3 - 3*z**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 2708.\nAnswer: 75824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -7 - -12) + -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/54)\/((-2825)\/1695))\/(33\/15)?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.76 + -2. Let t = -0.17 - b. Let l = t - 0.57. Do -1 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2034060.4 rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from {h: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1297*f**3 - 60957*f**2 + 94*f.\nAnswer: -f*(f + 47)*(1297*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*a - 166548 = 131847 - 13908. List the prime factors of a.\nAnswer: 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1006 + -1006. Is f < 21\/139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 494, 725, 956, 1187, 1418?\nAnswer: 1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x. Let i(y) = -8053566*y**2. What is r(i(l))?\nAnswer: 8053566*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1763740 by 8.\nAnswer: 440935\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 3\/4, 0.5, -4, -15.63, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0046 + -20.5646. Let w = g + 23.9. What is w rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqnn when four letters picked without replacement from nnnqqnnnn?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184, -430, -676?\nAnswer: -922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35396*z**3 + z**2 + 10*z + 138.\nAnswer: 212376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1150*s - 1151*s + 2*w = -3*w - 30, -5*w - 6 = -4*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22822 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6*d + 669 = k, 4*d + k = 2676. Suppose -4*b + d = -495. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*w**3 - 10*w**3 + 10*w**4 - 3*w**3 + 3*w**3 + 3*w**4 + (-w - 2*w**3 + w)*(-w - 3*w + 2*w) + (3*w**2 + 2*w**3 - 3*w**2)*(25*w - 8*w - 2*w).\nAnswer: 47*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40364009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22163252 - 12?\nAnswer: 22163240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-308)\/35*-17*(-80)\/3264?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 7\/11, -3\/4, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -195 - -821. What is the remainder when v is divided by 90?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/13? (a) -41\/7 (b) -4 (c) 1.4 (d) -0.4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*-1 + (1 - 3). Let q be 3\/j + (-52)\/(-8) + -3. Suppose -q*p + 360 = 7*p. Is p a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*v = -390*v - 726 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(468\/8) - 2403\/(-351)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*2\/176*-4.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -56*l - 29. List the prime factors of s(-5).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**5\/20 - 2*s**4\/3 - 3*s**3\/2 - 5*s**2 + s. Let f be k(-7). Suppose -f*v + 2 + 6 = 0. Put -0.5, 0.3, v in ascending order.\nAnswer: -0.5, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 1:52 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-3 + 0 + 20). Suppose -10 = 3*c - 8*y + 3*y, y = 5*c + 24. Is c\/(((-4)\/k)\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359 = 3*o + 83*u + 12*u, 4*o - 2*o + 18 = u for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 64404895*t**2 + 17447564 wrt t.\nAnswer: 128809790*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2346)\/207 + 12)\/(0 + (-2)\/(-6)). Solve -8*u + 4*u + m = 18, -5*m + 2 = o*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xofuxouhox. Give prob of picking 3 x.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1279*h - 5365. Let n be x(-4). Which is the smallest value? (a) -1\/2 (b) n (c) 3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -39 (c) 2 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -423 - -424. Sort 2, t, -6, 4\/5 in descending order.\nAnswer: 2, t, 4\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 73?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11423 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184511 = 63*d - 713193 - 927626. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -321 (base 5) to base 14\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.97 - 6.07. Let n be ((-6)\/(-15))\/((-11)\/(-5)). Let k = -5\/33 - n. What is the second smallest value in i, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (-12)\/(-16) - -4. Let x = -0.05 - -0.05. Which is the closest to -2? (a) 4 (b) m (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 3228\/90 + (-40)\/(-300)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -11*i + 11. Let s be z(7). Let h = 9215 + -221095\/24. What is the common denominator of h and (s\/(-24))\/((-5)\/11)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7 = 12. Suppose 0 = 2*y + 3*o + 2, -d*y + 2*o + 30 = -3. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 6:15 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -6. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2. Let q(l) be the first derivative of -l**5\/15 - 26*l**3\/3 - 9. Let x(a) be the third derivative of q(a). What is x(r(s))?\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence too when three letters picked without replacement from {c: 1, t: 1, f: 3, o: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 160\/3. Which is smaller: 24 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i - 10. Let a be k(7). Suppose h - a*h = -36. What is the tens digit of (4\/5)\/(h\/150)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 3:38 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1019*u + 5 + 995*u + 1 with respect to u.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -3, -6, -1, -174 in descending order.\nAnswer: -1, -3, -6, -66, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - 0.96. Let g = -0.85 - -0.998. Let a = -0.088 + g. What is the nearest to 1\/4 in a, d, -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 26, 30, 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 135*f - 266*f + 134*f. Give a(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20d3ed0 + -c?\nAnswer: 20d3ec3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82162.\nAnswer: 2, 41081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 - 7*f**2 + 3*f - 2. Let m be z(2). Let o(p) = -8*p - 62. Let x be o(m). Suppose c + 1\/3 + 1\/3*c**4 + c**5 - 2\/3*c**x - 2*c**3 = 0. What is c?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 0\/1 - 6*-124. Suppose -m + v = m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(66)*1)\/(sqrt(216) - ((sqrt(216) - 1*sqrt(216)) + sqrt(216))*-1)*-3.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2319662249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (513\/(-21))\/((-949)\/(-511)) + (-26)\/(-2)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.3, -254107, 2\/9, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 28 = 4*u, -z = -2*u + 2*z + 19. Let p be 4\/u - (-405)\/6. Suppose 0 = 2*i - 0*r + 5*r - p, -123 = -3*i + 3*r. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from offoroffffofrooff. What is prob of picking 1 o and 2 r?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zezf when four letters picked without replacement from fofezkffk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 1\/4, -0.4, -3762?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.56 + 0.39. Let p = x + -0.13. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (19\/8)\/((-2)\/4). Let d be -8 + (-2)\/(-2)*3. Let q = d - i. What is the closest to 0.1 in -3, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((1470\/56)\/(-15) - -1)\/((-3)\/6404) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396589, 396623, 396657?\nAnswer: 396691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508633041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 7 = 3. Let y = -589\/2 - -295. What is the closest to y in z, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 98*a**2 - 3*a + 17. Does 47 divide u(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 - -106. Calculate the greatest common divisor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/4)\/(-5)*201\/3618?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35103209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in -0.2, -28, 4, 2, 6, -3?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5c3 (base 15) to base 12\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1*sqrt(10)\/sqrt(2) + -3)*-4 - ((-3 + 0 + sqrt(405))*-2)**2).\nAnswer: -1642 + 212*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22995223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2316\/12)\/((-6)\/(-1050))?\nAnswer: 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.03 and -151828.\nAnswer: -151828.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 8*37\/148.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - 6.1. Let z = 1.2 + h. Let k = 212 - 1906\/9. Sort z, 0, k in descending order.\nAnswer: k, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 29 + 6. Let q(c) = -c**2 - l*c + 7*c - 15 + 0*c + c**3. Let y be -24 - -24 - ((1 - 0) + -1). What is q(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14.55, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 - 5*w - 32 - 14*w in the form x*w + z and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - 1d7?\nAnswer: -1c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 0 + g - 3 + 0*g. Let y(q) be the second derivative of q**3\/6 - 2*q**2 + 2*q + 1. What is 5*h(x) - 4*y(x)?\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, 3, -45, -3, -4 in decreasing order.\nAnswer: 3, -2, -3, -4, -10, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*u = 381 + 726 + 337 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 792588*c**3\/7 - 6488736*c**2\/7 + 2091609*c - 1437345.\nAnswer: 3*(c - 5)*(514*c - 819)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 8:23 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -8. Suppose 2*o + 14 = -k, -112 = -3*o + 4*k - 122. Put o, -5, q in decreasing order.\nAnswer: q, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Suppose -q*z + 12 = z. List the prime factors of 43\/5 - z\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-4 + 2)\/44). Let m(a) = 7*a**2 - 4*a + 3. Let t be m(2). Let c = u + t. Solve 2*w + 5 + c = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*(o*o\/(o\/(o\/o**(-14))))\/o*o))*o*o**(1\/17)\/o*o**(-11\/3)\/o**13)**(-4\/19) assuming o is positive.\nAnswer: o**(-80\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26135771 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. Let o = 4 - -8. Solve -n*u = -5*u + o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 18*z)*(-1 + 0 + 3)*(0 - z - 1 - z).\nAnswer: 72*z**2 + 36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 - a - 2. Calculate n(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5041 - 2711. Let f = i - 1539. 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 9:59 AM and 5:27 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y + 5*l - 125, 4*l - 126 = -5*y. Let o(q) = 11*q + 266. Let x be o(-24). Solve -x - y = -7*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 5*l - 13 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 17. Let x(c) = -c**3 + 6*c**2 + 6*c + 9. Let a be x(k). Suppose a*y = 3*g - 57, 86 = 5*g - 4*y - 11. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 0 - (-29 + 9 + 12)) + -1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**3 - d**2 + 1. Let k be b(-1). Let a(t) = -t - 1. Let n(p) = -p - 11. Let r(m) = k*a(m) - n(m). Differentiate r(q) wrt q.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 464 = -n - 5*y, 4*y = -5*n + 795. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77931.77km in millimeters?\nAnswer: 77931770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 71*p**2 + 211*p - 470. Determine c(68).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 260*s. Let g(v) = -6697*v - v**2 + 6697*v. Determine g(x(a)).\nAnswer: -67600*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15635961 to the nearest integer?\nAnswer: 3954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791.6188 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83184 is divided by 27727.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4380730, 35046088, 118280638, 280368976, 547595698, 946245400, 1502602678?\nAnswer: 2242952128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3056534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -10*g + 9. Suppose -g*x + 5 = -13. Suppose -3*k + 32 = 2*t, 3*k - k + 3*t - 28 = 0. Calculate the smallest common multiple of k and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. Suppose -p + 5*z - 17 = 0, 0*z = -p + z - t. Suppose -5*o = 10, p*y - 5*o = 8*y - 25. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*i + 36 = 0, 2*i - 5 = -11. Let s = 35 + c. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -5, 4104813 in descending order.\nAnswer: 4104813, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17*(-6 + 7) - 205901\/(-12099)\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nixnszj. What is prob of picking 1 s, 1 n, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 + y - 3. Let l be b(-4). Suppose -3*u + l = -0*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t - 8. Determine j(5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 841948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1693907 + 1529598272\/903. Let g = h - -1\/129. Factor 0*l + 2\/7*l**2 - g.\nAnswer: 2*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48a3 (base 14) in base 10?\nAnswer: 12687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1644 and -3\/160838.\nAnswer: 965028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 42.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 907362 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -8. Let i(l) = 5*l**2 + l - 1. Calculate the remainder when 9 is divided by i(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 9*y - 9. What is the remainder when 3 + -3 + -2 + 11 is divided by j(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.47 - 2.37. Which is the nearest to 0.1? (a) 1\/7 (b) o (c) 2 (d) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(187))\/(5*(sqrt(99) - sqrt(11))).\nAnswer: -3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6 (b) -0.3 (c) -15 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 789890 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 5, m: 2, b: 1, j: 5, s: 2, z: 2}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -322 + 160. Let b = i + 663. Is b a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 3*p**4 + 0*p**4 + 0*p - 4*p**3 + 6*p to i*p + r*p**2 + j + k*p**4 + y*p**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226333 = 4553*a + 107453 - 1417 for a.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 10, -d + 4*v = -0*v - 388. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5832 and 4056?\nAnswer: 985608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200 + -244421234?\nAnswer: -244421034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -209 - -310. Suppose 95*w = a*w - 252. Calculate the highest common factor of w and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4085 to 2 decimal places.\nAnswer: -1.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29248 + -29248.5. What is the second smallest value in -3\/2, -5, -226, 1, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*c = 86*c + 39. Suppose -y + c*l - 14 = -4, -l + 20 = 3*y. Solve -21 = y*b - o - 3, -4*b + o = 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(91)\/sqrt(7) + -3 + (sqrt(13) + sqrt(104)\/sqrt(8) + sqrt(13))*4 + -1 + -4.\nAnswer: -12 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*a, -a + 2*a = -2*f - 14. Let m be 2\/f + (-2)\/(-3). What is the closest to m in 1, 5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**2\/4 + 24732451*i\/4 = 0.\nAnswer: 0, 24732451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + 19 + (15 - (-6 + 11))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 1 + 1)*(7*a - 2*a - a)*(1183*a + 5205 - 5205).\nAnswer: -9464*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17645346 to the power of 1\/2, to the nearest integer?\nAnswer: 4201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**2 + 1 - 1)*(-16 - 32 - 4 + 7)*(-32 - 32 + 18) to r + x*z + y*z**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) -3 (c) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzzdvfzzzzzzffzzvv. What is prob of picking 3 v and 1 z?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -462499 and -26?\nAnswer: 12024974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i. Let d be -1 - (-51)\/45 - 12\/90. Let c(v) = 0*v - 9*v + d*v - v. Determine c(q(p)).\nAnswer: -40*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 147*p - 3. Let r(m) = 440*m - 8. Let t(c) = 8*d(c) - 3*r(c). Let h be t(-1). Let o = 42 - 26. What is the highest common factor of o and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8348 or -968477\/116?\nAnswer: -968477\/116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88808?\nAnswer: 2, 17, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 + 45. Suppose 0 = t - 3*m - 38, s*t - 170 = -0*t + 3*m. Suppose 74*j = 75*j - t. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 101 = 15*p. Solve -z + 3 = 2*n, p*z = -0*n - 5*n + 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/4*(-3)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 314382 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j + 20. Suppose 4*v - j = 3. What is the second derivative of 2*t + t**v - 3*t + 0*t wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 167.8.\nAnswer: -168.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2085 + 14986. List the prime factors of d.\nAnswer: 7, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1080641\/63 + -17153. Is s bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 4653699906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8405328?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -65*h**2 + 119*h**2 + h - 52*h**2 + 22. Let o be i(-9). Which is greater: 174 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414 = 5*a - 3*o + 432, -a = 7*o - 42 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, a: 2}. What is prob of picking 4 p?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 - 28*y**2 + 116*y + 1531. What is k(-14)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2112 + 5304. List the prime factors of y.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 9 (b) 1.02 (c) -0.6 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 217971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7373406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r + 3. Let p(h) be the first derivative of h**2\/2 - h - 5. Determine 5*p(s) + w(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180\/(3 - 0)*(0 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3*868\/105)\/(1\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17396 is divided by 824?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3463736, -23, -5, 3\/5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-184)\/6 + (-2)\/6. Let p = -620 - -584. Let k = t - p. Solve -5*o = -6*o - 5*j - 4, 5 = -k*j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1 + 538*w**2 + 493*w**2 + 3*w - 10 - 831*w**2 - 4*w. What are the prime factors of p(-2)?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*42\/(-6)*(-1)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 + -2 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 871*z - 102*z - 152 + 109*z + 298 - 143 as x + c*z and give c.\nAnswer: 878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 4\/221 (c) 1\/4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54332 divided by -68?\nAnswer: -799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiwiiwccdicwcd. 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 13 = -3*h - 4*n + 27, -n + 4 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 2*p + 6, -p - 9 = -7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25500188 and 165228?\nAnswer: 76500564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4345\/(-165) + 23 + 184\/54.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 98.36? (a) 5 (b) 2\/13 (c) -0.5 (d) -5 (e) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28, 30, 34, 40, 48, 58?\n\"Answer: y**2 - y + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (4 - ((0 - -1) + 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 + -48. Let w(d) = d**2 + 7*d + 6. Let y(f) = -6*f**2 - 36*f - 29. Let s(q) = r*y(q) + 11*w(q). Give s(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 + 3*n**3 + 3*n**3)*(-1 + 1 + n) + n**4 - n - 7*n**4 + 0*n**4.\nAnswer: -5*n**4 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/13)\/(i*i**1)*(((i**(-2\/15)*i)\/i)\/i)**(-29) assuming i is positive.\nAnswer: i**(6049\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1140*t + 15. Let m be d(7). Let z be m\/24 - (-7)\/(-56). What is the highest common divisor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a**3 + 2*a**2 - 5*a + 4. Let d be j(2). Let v(w) = 81 - w - 159 + d. What is v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3 - 859*o - 18 - o**3 + 838*o with respect to o.\nAnswer: -6*o**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 178\/273 - -8\/39. Which is the smallest value? (a) x (b) -1.43 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 96 = -23*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 33*c - 124 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2349?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74854780*w*y**3 + 2*w*y**2 - 3*w*y - 432832*w - 3 wrt y.\nAnswer: 449128680*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -836.36 to the nearest 10.\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 404947552?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, p: 4, l: 7}. What is prob of sequence ll?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818472 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-12) - (-1 + (-904)\/3). Suppose -q = -671 - a. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/1740 and -37\/29.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18788 or 18794?\nAnswer: 18794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*k = 3. Suppose 3*h = -y - 0*h - 5, -5*h = k*y - 1. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**5\/15 - 44740*o**4 + 2684468*o**3\/15 + 12079984*o**2\/15 + 4474058*o\/5 + 4697756\/15 = 0?\nAnswer: -335554, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*k = -32, -4*k = o - 2 + 8. Let x(z) = -z**2 + 9*z + 28. Let f be x(o). Solve v = 4*p - 15, -5*p = -4*p - 5*v - f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d - 3 + d - d. Let q be (-1)\/((-1)\/(-6)*-1). Is a(q) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 71, 131, 191, 251, 311, 371?\n\"Answer: 60*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*o**2 - 85*o**2 + 438*o**2 - 86*o**2 - 96*o**2 - 82*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**3 + 227*h**2 - 54*h + 172. Let g be a(-57). Which is bigger: g or 1\/11697?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 2050133351?\nAnswer: -2050133351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -98*u - 2945. Calculate x(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7958 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33249.751 - -33233. Let z = 0.151 + a. Which is greater: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 z when four letters picked without replacement from {n: 7, z: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/6)\/(-7)*9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/5 - 18713*w**4\/5 - 18084163*w**3 - 5377914635*w**2 - 364195524000*w + 7834701600000 = 0. Calculate w.\nAnswer: -9200, -165, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*h = 26888, 4*f + 1530 = -3*h + 23062. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1344\/(-9600))\/((-147)\/35).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*f - 4*f. Let a be (-2)\/(f*(-4)\/(-24)). Suppose -4 = -4*m + a*s, -2*m + 24 = m + 4*s. What is the greatest common factor of 32 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6*g + 70 = 0. Suppose 17*w - g*w - 18 = 0. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 174, 450, 792, 1200?\n\"Answer: 33*m**2 + 177*m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3334\/1221 - 73\/37. Let m = 1\/11 - n. Let g = -9 - -4. Which is the third smallest value? (a) g (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + 3 + (0 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(242) + sqrt(242) + (4 + sqrt(242)*2)**2).\nAnswer: 594*sqrt(2) + 2952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/28 (b) 1\/8 (c) 0 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 0.2 (c) -1 (d) 7 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 12*w + 66. Calculate the remainder when 2751 is divided by v(3).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7299931 less than -1?\nAnswer: -7299932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1 + k - 6*k + 3*k + 3. Let d = -6 + 10. Determine r(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c**3 + 12*c**3 + 26*c**3 - 64*c**3 + 14*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6))**(-5)\/(o**9\/(o\/(o*o\/o**(-2\/17)))))**11 assuming o is positive.\nAnswer: o**(3718\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-3)\/(-24))\/((-30)\/(-3520)*-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 651089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - 2176?\nAnswer: -2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**6\/120 + 7*t**5\/20 + t**4\/12 + 17*t**3\/3 + 5*t**2 - 13. Let b be n(-21). Let x(o) = -o**2 - 7*o + 13. Give x(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3119 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 239 + -236. Solve -m - 5 = b, -m + 0 = o*b + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**4\/3 - 856*u**3 - 5981*u**2 - 40988*u\/3 - 10244 = 0.\nAnswer: -2561, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6466904.\nAnswer: 2, 808363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 294.9, -3, -0.3, 3, 0.1 in descending order.\nAnswer: 294.9, 3, 0.1, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9895 is divided by 320.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from yyccccecvcvccc.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + 15. Let f(a) = 2 + i*a**2 - 4 - 4*a + 0*a. Is f(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffmffmmmfmfff. Give prob of sequence mff.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25883370.\nAnswer: 2, 3, 5, 29, 47, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 382\/34 - ((-39)\/(-15) + -3 + (-456)\/(-40)).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -140 * -1.17.\nAnswer: 163.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (250*l**2 - 579 + 579)*(2 - 2 + 1).\nAnswer: 250*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 72.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + r = 1200 - 1189, 5*i = -4*r - 41 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -13 + (-32 - (3 + -7))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-129)\/(-4)*((-120)\/(-114))\/5 - 2345\/335.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 311*l + 981. Let i be j(-3). Solve -4*x = 2*c + 8, -4*x + 4*c = i - 40 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666357053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) - sqrt(196)\/sqrt(4) - sqrt(49))\/sqrt(7) + 3 - sqrt(70)\/(sqrt(490)*5))**2.\nAnswer: -216*sqrt(7)\/35 + 2871\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/2)*h*h**(-3\/5)*h*h**(-3\/7)*h**(-2\/11)*h*(h*h**(-3)*h*h**(3\/7)*h)**(-4\/33) assuming h is positive.\nAnswer: h**(1723\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 + 4 = -5*h, h + 9 = 3*r. Let i = 1631 + -1055. Suppose -c - i = -4*o, -o + 302 = o + r*c. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 9*v**2 + 6*v + 12. Let u(m) = 6*m**2 + 7*m - 4*m - 3*m**2 + 0*m**3 + m**3 + 1. Let z be u(-3). Is 7 a factor of d(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/5 and -25\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d + 62. Calculate f(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 = -3*w + 22, -3*x - 5*w = -40. Let r be (0 - (-1)\/x)\/(48\/(-144)). Let p = -0.91 + -0.09. What is the nearest to p in -1\/5, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 0.04, 0.2, 0.3, -2993, 1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -1*2)*5. Suppose 8*u - 4*u - 3*i - 33 = 0, 4*u + q*i = 9. Let j = 0 + u. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202122.758 rounded to the nearest ten?\nAnswer: 202120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4981, -19122, -42691, -75688?\nAnswer: -118113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -4\/3 (c) 2\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 8*m**4 - 2*m**2 + 5*m. Let v(j) = 16*j**4 - 5*j**2 + 11*j. Let o(k) = 5*p(k) - 2*v(k). What is the second derivative of o(l) wrt l?\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -924 + 1180. Let l(m) = z - 4*m + 3*m - 506 + 235. Let v be (-48)\/5 + 4\/(-10). Calculate l(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 + 8*n - n**2 + 6*n + 3*n as i*n**2 + w + r*n and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9421644 - -17\nAnswer: -9421627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 49?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h - 215*h - 47*h.\nAnswer: -252*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 10*k**2 - 21*k + 35. Determine i(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(-2\/97)*(z\/((z*z*z**6)\/z))\/(z*z\/((z**(2\/5)*z)\/z)) assuming z is positive.\nAnswer: z**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 + 36*x**2 - 4*x - 24. Let s be f(-18). What is the greatest common factor of s and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (1 - 3 - -2)) + 2 + -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 divided by 4?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 9, c: 4, d: 2, i: 2, z: 2}. What is prob of sequence cz?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135\/68 + -4\/17. Let z be ((-3)\/6)\/((-6)\/(-4)). Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 5*a**2 + 6. Let b = 7 - 11. Let o(k) = -2*k**2 - 5*k + 2. Let h be o(b). Let t(w) = -w**2 - 10*w + 5. Let v be t(h). What is i(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 0.00611.\nAnswer: -0.40611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14105?\nAnswer: 5, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 199 divided by 6\nAnswer: 199\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**24)**(-1\/17) assuming g is positive.\nAnswer: g**(-24\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 5. Let d(p) = 3*p**2 - 26*p - 17. Let k(a) = 10*a**3 - 2*a**2 + 3*a - 2. Let t be k(1). Let y be d(t). Determine v(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.4? (a) 1\/4 (b) -2\/3 (c) 3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s - 5. Let r(i) = 1 + 1 - 4*i + 3*i. Suppose 5*c - k - 5 + 30 = 0, 0 = 4*k. Calculate c*r(h) - 2*q(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + (-56)\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-85)\/(-34) - (-30)\/16 and 37\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-1))\/((-20)\/(-270)). Let t = k + -14. Suppose t*x + 48 = 14*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283a (base 16) in base 6?\nAnswer: 3010254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -767558 + 767558.586687. Let f = -14.517 + 13.93. Let i = s + f. What is i rounded to 5 dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 2:17 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -151*l**2 + l - 4. Calculate h(1).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 599722 divided by 599722.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 14 = -4*h + 86, c - 81 = -4*h. Does 4 divide 6\/h + (1926\/21 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*t + 2159247 - 1305509 = -1744682. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 - 2*i**2 - 2*i - 7. Let u(p) = p. Let f be u(-2). Let z be n(f). Suppose -2*c - g = -337, -3*c - 473 = -6*c + z*g. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 730*m + 336*m - 1867*m)*(-7*m + 5*m**2 + 7*m) to the form a*m**2 + o*m**3 + k + y*m and give o.\nAnswer: -4005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*y + 8*t - 11*t, -20 = -3*y + 4*t. Which is the third smallest value? (a) -3 (b) -0.2 (c) 106 (d) y (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 555216 and 9091662?\nAnswer: 72733296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(11) - sqrt(33)\/sqrt(3))*5)**2 - (5 + sqrt(99)*2).\nAnswer: -6*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, n: 5, j: 7, l: 1}. Give prob of sequence njjl.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77283565?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - j**2 - 27*j + 494. Calculate t(0).\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -45053*c + 289*c**2 + 45053*c as s*c + h*c**2 + g and give h.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/(s\/s**(-1\/14))*s)*s)*s)\/(s*s\/s**(3\/4)*s))\/(s\/(s\/(s\/s**(-1\/2))))**(-7\/2) assuming s is positive.\nAnswer: s**(55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + 0 + sqrt(396) + sqrt(396) + (sqrt(396) - -2*(sqrt(396) + 1)) - (sqrt(396) - (-1 + sqrt(396) + 3) - (4 + 1*sqrt(396)))))**2.\nAnswer: 12672*sqrt(11) + 230032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2. Let x(u) = -2*u - 3. Let l(w) = 4*w + 7. Let j(d) = -3*l(d) - 7*x(d). What is m(j(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlllllll. Give prob of sequence lllw.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 + 117. Sort 1, 14, a in descending order.\nAnswer: 14, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**3 + 16*r - 6. Let a(w) = w**3 + 3*w - 1. Calculate -11*a(p) + 2*f(p).\nAnswer: -3*p**3 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -100, -229, -358, -487, -616?\n\"Answer: -129*p + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1932 is divided by 541?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -35*(-30)\/315*4\/5?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f*f)**47\/(f\/(f\/(f\/(f*f*(f**(3\/4)\/f)\/f)))*f*f\/(f*f\/f**10)) assuming f is positive.\nAnswer: f**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.14 + -7.21. Which is the closest to 1? (a) -1\/6 (b) 1\/3 (c) -3\/4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8974, 25, 4, -4, 0.2 in descending order.\nAnswer: 25, 4, 0.2, -4, -8974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-2 - -1) - -181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/12 and 14\/135?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyaeekwkykaeweekaaak. Give prob of picking 1 k, 1 w, and 2 y.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 0 - 6. Let l = 21 - 19. Suppose -25 = -5*y - 2*x, l*x = -y + 4 + 1. Solve -y*v = -r - 7, 4*v + 4*r = m*r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2322, -4584, -6808, -8994, -11142, -13252, -15324?\n\"Answer: 19*y**2 - 2319*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8\/k)\/(k*k**4)*k**7\/k**(3\/2)*k**(-7)*k*k**(-7\/4)*(k\/(((k*k**(-7)*k)\/k*k)\/k)*k)\/(k\/k**0) assuming k is positive.\nAnswer: k**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*x**4\/17 + 2250*x**3\/17 + 2940*x**2\/17 - 3880*x\/17 - 1296\/17 = 0. Calculate x.\nAnswer: -2, -2\/7, 1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f**2 + f + 2. Let h(p) = -6*p**2 - p - 2. Suppose -3*w + 27 - 3 = 0. Suppose -t - 4*c = 23, -2*c - 2*c = -4*t + w. Give t*y(n) - 4*h(n).\nAnswer: 3*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130052, 11\/4, -0.5, 0.5 in descending order.\nAnswer: 130052, 11\/4, 0.5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87\/(-78) - ((-1840)\/160 + 11)?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from pppppypyrpppx.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 305.4 + -305. What is the smallest value in -0.1, n, -0.017, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-6)*(0 - 2). Let b(d) = d**2 + 6*d - 1. Let v be b(-6). Is 42\/(v - 2)*o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s - 65. What is z(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/47, -0.067, 12\/13, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*d + 140, -4*d - 13 - 57 = -2*k. Let w = -35 + k. Let u be (w - 1\/2)*(7 - 647). What is the highest common divisor of 40 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6376046 is divided by 2125283?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p + 10 = 15*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 2*w, -4*o = -641*w + 638*w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a microgram in nanograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 575633.6 millimeters?\nAnswer: 57563.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2287 or -1403?\nAnswer: -1403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/9)\/(18\/5832*-12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from {p: 2, x: 1, a: 1, z: 1, j: 1, h: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 15*v**2 - 6*v + 6. Let d be x(-14). Sort -1, d, -5 in increasing order.\nAnswer: d, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6894\/45*(-5)\/2. Let u = 1470 + h. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 9*n**2 + 7*n - 6. Let y be v(-8). Suppose 3*m = 15, y*m = -4*c - 2*m + 1160. Suppose 6*j - j - c = 0. List the prime factors of j.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**3*w**3*z + q**3 + q**2 - 53*q*w**3*z - 42*q*z + 4*w**2 wrt w?\nAnswer: 6*q**3*z - 318*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 2. Let i(l) = 390840*l + 20. Let d(a) = i(a) + 6*r(a). Let w be d(-12). Round w to the nearest 100000.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*x + 2567 + 1297 = -1307 - 377 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4964 divided by 1\nAnswer: -4964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k + 3 = 0. Suppose y + 1 + 1 = 0. Let l be (-6 - -3 - -5)*y. Put -1, l, k in increasing order.\nAnswer: l, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8*j**3 - 59*j**2 + 21*j + 10. Let h be d(7). Solve 0 = -12*k + 7*k - h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -734336.\nAnswer: -1\/367168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -225 > -223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (651*(-20)\/120)\/((-371)\/212)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 830 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 - 82*n**2 - 158*n + 3102. Calculate h(42).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 305 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -47b585 (base 12) in base 8?\nAnswer: -4332165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-989)\/23)\/(-258))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 - 17. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - (-1 + (-8)\/((-4)\/(-1))). Sort -5, 7, n in increasing order.\nAnswer: -5, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (0 - (-6544)\/(-44)). Let r = 98567\/660 - w. Let g = -1\/20 - r. Are g and 0.13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -697970 divided by -697970\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p + 104 = 30 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -102*s - 46*s - 17 + 215*s - 96*s - 43*s. Let p(n) = -9*n - 2. Determine 6*b(d) - 51*p(d).\nAnswer: 27*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2 - 528*k - 23232 = 0. Calculate k.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. Suppose -3*v + 3 = c*u, 0 = 3*v - 0*v + 5*u + 6. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*h - 33. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 720 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -2. Suppose 0 = -2*j + c*y + 3, -y + 3 = 2*y. Solve -14 = -2*o - 0*m + 5*m, o + j*m = -6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010210 (base 3) to base 9\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/12*(-4)\/20. Let b = 1846\/5 - 368. Suppose 0 = 327*f + 554 + 427. Put b, o, f, -1 in ascending order.\nAnswer: f, -1, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p = -26. Suppose -6 = 4*b + 2*d, 4*b - 5*d + p = -0*b. Let l = b + 8. Calculate the remainder when l is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/75514 and -73\/31094.\nAnswer: 528598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57718, -57710, -57702, -57694?\nAnswer: -57686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 25993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16418, -32836, -49256, -65678?\nAnswer: -82102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihhhhddhhhhhhdhhih. Give prob of sequence id.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 2 = 7*r + 6*b + 4, -6 = -37*r + 40*r + 5*b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 - 3*(-1174)\/6. Suppose 14*j - 10*j = a. Are j and 146 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 2*o**2 - o**2 + 2*o. Let t = 326 + -319. Let i(l) = 53*l**2 - 7*l - 88*l**2 + t*l. Determine b(i(v)).\nAnswer: 1225*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -11*q + 9*q**3 - 8*q**3 - 9*q**2 - 7*q + 9*q - 11. What is d(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/4 + 257*d**3\/4 + 4029*d**2 - 12935*d - 16900 = 0 for d.\nAnswer: -130, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/3 + 168290*x\/3 = 0. Calculate x.\nAnswer: 0, 168290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101741417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/6*198\/(-33). Let p be 1 + -2 + 3\/12*a. Let j(b) = -b**3 + 6*b**2 + 2*b + 3. Let h(m) = m**3 - 5*m**2 - 2*m - 3. Determine p*h(f) - 5*j(f).\nAnswer: -f**3 + 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**4 - 63*y**3 + 2718*y**2 + 58188*y - 60840 = 0 for y.\nAnswer: -26, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**3 - 21*u**2 + 140*u + 969. Calculate w(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4*-1)\/1*-2. Let s = 9 + -15. Let y = s + h. Solve 0*c - 3 = 3*c, -y*c = -2*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**3 + 11648*k**2 + 574900*k + 7155000 = 0. What is k?\nAnswer: -2862, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2. Let u(f) = f - 1. Let x(d) = -d**2 + 1. Let m = -3 + 2. Let r(g) = h*u(g) + m*x(g). What is the second derivative of r(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181046 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8591 - 8362. Sort h, -4, 5, -2 in decreasing order.\nAnswer: h, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 0*i**3 - 1\/6*i**4 + 16*i + 0*i**2 + 0. Let y(j) = -34*j. Give y(w(x)).\nAnswer: 68*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10 + 0 - 35*l + l**2 + 4*l. Let j be p(11). Let d = j + 433. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3771 by -22.\nAnswer: -3771\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 131063592923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -4 - (-8 - 43). Let x(a) = a**3 + 8*a**2 + a - 5. Let i be x(-6). Suppose i*j - 180 = 56*j. What is the greatest common divisor of h and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.55281l to millilitres.\nAnswer: 44552.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -150 and -0.0162?\nAnswer: 149.9838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -9 - -5) + 21. Suppose t*m - 2261 = m. Let f = 46 + -27. Calculate the greatest common factor of f and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -136799, 2, -0.2 in ascending order.\nAnswer: -136799, -2, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/40 and (-3)\/(-54)*(8 - 314\/(-20)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 59220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*t**3 + 47*t**3 + 3*t - 22*t**3)*(13 - 3 + 8) to z + p*t**2 + b*t**3 + o*t and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29404 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -1. Let d = 23524 - 95081\/4. Let n = -247 - d. Which is the nearest to -2? (a) k (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2)**(-9)*r\/r**3*r*r**2)**(2\/101) assuming r is positive.\nAnswer: r**(-34\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g - 1. Let d be i(-3). Suppose -37 = -a - q + 5, 0 = q - d. Calculate the remainder when a is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 3*m + m**4 + 0*m**4 + 4*m**4 - 2*m**4 + (0 - 3 + 5)*(4*m**4 - 4*m**4 + m**4) - 3*m**4 + m**4 + 3*m**4 + 14*m**3 - 64*m + 34*m + 30*m - 65*m**4.\nAnswer: -59*m**4 + 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - -1*sqrt(243)) + -4 + sqrt(15)\/(sqrt(80) + sqrt(20)))**2.\nAnswer: -436*sqrt(3)\/3 + 12073\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j + 1. Suppose -2*u = 7 - 17. Let r be (6 - u) + 0\/(-1). Is 3 a factor of t(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 258529863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 2*j + f - 446849 = -446847, 14 = -3*j + 7*f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*m - 61, -m + 3*q = 4*m - 33. Suppose -v = h + m, -5*v - 36 = -0*v + 2*h. Let w be (v\/5)\/(6\/15). Put w, -4, 2 in descending order.\nAnswer: 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*o + 16*o + 4*t + 6, 2*o + 4*t - 36 = 0. Let x be 2\/(-3) - o\/(-3). Solve 4*f - x*u = 0, 5 = -0*u + u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(65)*-1*3*5)\/((sqrt(3600)*2)\/(sqrt(40)\/(sqrt(8) + 2*sqrt(8))))*-2.\nAnswer: -5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4480*b - 18069 = -4163*b for b.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -40*a**2 + 30507*a + 9884. What is j(763)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88\/95 + -20219\/22135. Let y = 439\/2097 + t. Does 31 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 38*q - 5414. What is p(141)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-504)\/(-8)))\/(434\/372)\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*s*z**3 - 4*s*z**2 + 2*s - 99*z**3 - 3*z**2 wrt z?\nAnswer: 18*s - 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4*m - 8*m = 20, 15 = -5*m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/(-6))\/2)\/(27\/81)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2541008?\nAnswer: 2, 31, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/(-24) + (77\/7)\/(4\/18). Suppose -18 = -k - 3*i, 0 = -5*k + 2*k - i + 14. What is the highest common factor of a and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 254 + -244. Is 11 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-55)\/(-33)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g - 3*g)*(3*g - 4*g + 2*g) - 52*g + 14*g**2 + 52*g + 3 - 3 - 2*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*y - 8, -3*y + 76 = 322*x - 318*x. What is the remainder when 39 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 7*v + 13. Determine w(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-3 - (-4 + (-9)\/(-10)))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16696 is divided by 408.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - -21) + (-20)\/(-6 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.1 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*y)*(-3*y + 0*y + 5*y)*(59*y + 203 - 403 + 199) to the form g*y**2 + o*y**3 + a*y + m and give o.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -345, -1323, -2951, -5229, -8157, -11735?\n\"Answer: -325*w**2 - 3*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 164157 divided by -3?\nAnswer: -54719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 660057.4 litres to millilitres.\nAnswer: 660057400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -767.\nAnswer: 15\/767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1685.\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130095 and 13335?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1218847497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y. Let p(v) = v. Let b(q) = 9*p(q) + 2*z(q). Let w(j) = 11*j + 3. Let d(n) = -6*b(n) + w(n). What is the first derivative of d(k) wrt k?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40352 - -40765. Calculate the highest common factor of v and 490.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**3 - 3*i - 2. Let r be k(-1). Let f be 3 + -4 - (r\/1)\/2. Which is greater: -2\/77 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (18\/(-4))\/((-3)\/4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 10 = 109. Let m be 5 + -3 - v\/(-63)*-3. Find u such that -3\/7*u + 0 + m*u**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 11*b. Let l(f) = -f**2 + 12*f. Let m(i) = 3*l(i) - 4*q(i). Let t(j) = -2*j**2 + 15*j. Give 11*m(c) + 6*t(c).\nAnswer: -c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1889 - -18631. Is r a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(1\/48)*k*k**(2\/7)\/k*(k\/k**(-2\/27))\/k)**(-39) assuming k is positive.\nAnswer: k**(-884\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010101111110110111 + -11?\nAnswer: -1000010101111110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11792, 11699, 11606, 11513?\n\"Answer: -93*h + 11885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (-31 + (33 - -8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2548612, 10194451, 22937518, 40777813, 63715336, 91750087, 124882066?\nAnswer: 163111273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/8))**(-25) assuming s is positive.\nAnswer: s**(-75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20154942*x**2 + 31679303*x wrt x.\nAnswer: -40309884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**6\/30 + 7*n**3\/6 + 3*n**2. What is the derivative of j(x) wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 120 = -5*h, -16*z + 15*z + 2*h = 12 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**7\/2520 + a**6\/360 - a**5\/30 - a**2. Let w(t) be the third derivative of l(t). What are the prime factors of w(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 1213360\nAnswer: 8493520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 11:16 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7242.813ml to litres.\nAnswer: 7.242813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(4 + -1 + 0). Let f be (3 - 2)*(-75)\/(31 + -16). Sort -2, b, f in ascending order.\nAnswer: b, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 89*h**2 + 19*h - 7. Let x be z(-8). Let g = -964 + x. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g - 3*g)*(0 + 0 + g) + (2*g - 3*g + 2*g)*(4096 - 6632 + 7381)*(-2*g + 0 + 0).\nAnswer: -9691*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -4*v + 42 - 47, 0 = 5*y - 2*v + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**2 + 3*t**2 + 3*t**2 + 10*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*k + 5*i, -16 = -4*k + 4*i + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 22 = 4*x + 3*b, -2*b = 5*x - 17. Let g be (4 - (2 - 1)) + -3. Suppose 0 = -c - g*c + 10. Solve -3*h - 2*h = x*s + c, 4*h + 16 = 4*s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p + 4. Let a be d(-2). Suppose q - 4*c + c - a = 0, -q + 10 = c. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100100111 (base 2) to base 15\nAnswer: 38c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.0963 times -1.1\nAnswer: -1.20593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 149 + -146. Let t = 7 + -4. Let l = 2 - t. Put 5, f, l in descending order.\nAnswer: 5, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 81, -11, -121, -255, -419, -619, -861?\nAnswer: -1151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4\/63 (b) 2\/11 (c) -1\/8 (d) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408011 is divided by 281.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 10 = 0, -4*q - 4 = 2*t + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 264912 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 5:55 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -7*i**7\/135 - 329*i**6\/270 - 671*i**5\/90 + 329*i**4\/27 - 196*i**3\/27 - 160*i**2. Factor q(w).\nAnswer: -2*(w + 7)**2*(7*w - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 240109 or 2641195\/11?\nAnswer: 240109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*b - v - 3736, v = -4. Let c = -425 + b. What are the prime factors of c?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -78514 times -0.76?\nAnswer: 59670.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/20 + 42\/8. Suppose -2*i - b + 134 + 212 = 0, -370 = -2*i + j*b. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22, 33, 42, 49, 54, 57?\n\"Answer: -y**2 + 14*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 8.2630989 nanoseconds?\nAnswer: 0.00000000000001366253125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/20 and -103\/43194.\nAnswer: 431940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*f + 17*f - 25*f)*(3 - 5 + 0).\nAnswer: -104*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2335071*g**4*j**3 + 335*g*j**2 - 415*g + 3*j**3 + j wrt g?\nAnswer: -28020852*g**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 6. Let o = l - 3. Let j = 6 - o. Solve 4*t = j + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 4494?\nAnswer: -4493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 5:07 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfv when three letters picked without replacement from {f: 2, v: 10}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 25, -1, 4, 5, 2.89 in descending order.\nAnswer: 25, 5, 4, 2.89, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**5\/15 + 24*t**2 - 18*t. Let a(q) = 316*q. Calculate a(g(k)).\nAnswer: 1264*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*l - 36, 2*l + 10 = -0*l - 5*s. Let z(u) = u**2 - 3*u - 7. Let p be z(l). Suppose -3*j - 9 = -5*h, p*j + 6 = 4*h - 0*h. Solve -c = -h*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 25710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -5\/201, 2\/5, 5\/4, 0.\nAnswer: -5\/201, 0, 2\/5, 0.5, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1771 and 11184371?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -1083*u + 1067*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1511010211.\nAnswer: 109, 251, 55229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -120 + (-164 - -72 - -122)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -199 + 325. What is the highest common factor of i and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, 1\/5, -6, 725, 1, 8\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 33 = n, 2*o = -0*o - 5*n - 9. Let a be 4\/(-10) + o\/(-5). Solve -5*k + p + 1 = 0, -2*p - 2 = 6*k - a*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s. Let a(j) = 149 + 158 + j - 454 + 148. Let x be 8\/6 - 3\/9. Let h(z) = x*a(z) + t(z). Determine h(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-25)\/a)\/a*a*a**(1\/18)*a*a**(-1\/71)*(a**(12\/5)\/a)\/a assuming a is positive.\nAnswer: a**(-150539\/6390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - m - 15. Let x be 1\/2*2*0. Let l be g(x). Let h = l - -24. Solve -5*n = -q - 3*n + h, -3*q - n = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12714*p**3 + 2*p**2 - 7*p + 1087338 wrt p.\nAnswer: 38142*p**2 + 4*p - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*k = -r + 157*k, 0 = 2*r - 16*k + 28 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -224039516.76 to the nearest ten thousand.\nAnswer: -224040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gohhmho. What is prob of picking 2 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -715498, -715493, -715488, -715483, -715478?\n\"Answer: 5*i - 715503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 27 + 32*d**2 - 33*d**2 as h + u*d**2 + j*d and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2136*z - 146. Let h be g(-4). Let f = -5875 - h. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**3 - k**2 + 2. Let h(s) = -s**2 + 2528 + 2515 - 5042. What is 3*h(g) - v(g)?\nAnswer: 3*g**3 - 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 94 = -v + 4*s, -4 = -2*s. Suppose 0 = -8*a + v - 182. Are -8 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*c - 31 = 0, 2*g - c - 26 = -0. Suppose 0 = -2*s - 2*l + 14, -2*s + 2 = -2*l + l. What is the nearest to -0.1 in 5, s, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buubbuubbbeuuuubs. What is prob of sequence us?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 149a?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n. Let q(z) = -86*z**2. Determine q(c(l)).\nAnswer: -86*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5416?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 1, y: 1, l: 2}. Give prob of picking 1 p and 2 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 + 90*z**2 + 44*z + 1732. Calculate m(46).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/2477, -2\/3, 19\/5, 5 in increasing order.\nAnswer: -2\/3, 2\/2477, 19\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66960385.\nAnswer: 5, 193, 69389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 0*x - 2*m - 208, 2*x = 5*m + 79. Let i be x\/(-70) - (-283)\/10*2. Which is smaller: 57 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -51*k**3 - 3747*k**2 - 15597*k + 9315 = 0.\nAnswer: -69, -5, 9\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3196 a factor of 51790437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18*((-18)\/(-4) + -3). Suppose 33 = 2*a + 3*s, 3*a - s + m = 5*a. Solve -a = -p - 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1059811 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, s: 4, f: 5, j: 7}. Give prob of sequence jsb.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133300.\nAnswer: 2, 5, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - 102315?\nAnswer: -102326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1123 + 1122.9997228. Round c to five decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 1103*q + 1099*q = -149, -s + 4*q = 169 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - z + 34 = 2*s, 2*s - 93 = 3*z. Are s and 39 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/((-560)\/3600)\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5284, -21288, -48256, -86428, -136044, -197344?\nAnswer: -270568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47012249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -33813 rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32609 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24 - 6407?\nAnswer: -642b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1325?\nAnswer: -3\/1325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 994656?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*o + 151*o**3 - 2 - 15*o + 2 to p*o + i*o**3 + f*o**2 + v and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**7*l*l**(2\/13)*(l**(-2\/5)*l)**12)**(3\/7))**13 assuming l is positive.\nAnswer: l**(2994\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from ddywddydydy?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 11*b**2 + 7*b - 34. Let u be q(-10). What is the nearest to 1 in u, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15929, -0.3, -0.2.\nAnswer: -15929, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -154 and 53.292.\nAnswer: -8206.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - 67*a**2 + 4 + 125*a**2 - 60*a**2 to v + n*a**2 + h*a and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663630.\nAnswer: 2, 3, 5, 11, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5 - 41*k**4 - 1182*k**3 + 1148*k**2 + 85064*k - 164640 = 0. Calculate k.\nAnswer: -14, 2, 7, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t + 45. Sort t, -5, -2 in increasing order.\nAnswer: t, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2937 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4045417?\nAnswer: 4045417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -5, 132732, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10294161 - 17.234?\nAnswer: -17.33694161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*t - 17, 0 = 4*p - 0*t - 2*t - 12. Let i = 741 + -744. Sort -5, p, i in increasing order.\nAnswer: -5, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-6)*q)\/((q*q**(-12\/5))\/q))\/(q**(-4\/11)*q*q*q**(-7\/4)))**6 assuming q is positive.\nAnswer: q**(-1641\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 166953 a multiple of 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11122301203 - 3?\nAnswer: 11122301200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (52 - -32) + (-4 - 36)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -537 (base 9) to base 6.\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00316259967 rounded to five dps?\nAnswer: -0.00316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 14*l - 2. Calculate f(-16).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (2 - -2))\/(519 - 506)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.5 + 2. Let i = 8419\/7 - 1203. Which is the smallest value? (a) 2 (b) i (c) w (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3bac4 (base 13) to base 2.\nAnswer: 11011010001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*h + 10, -3*j = -5*h + 2*j + 30. Suppose -17 = -5*x - h. Suppose -9 + x = -3*n. Solve 4 = -i + n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -3*f + 12 - 24, 3*q = 3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 534 and 6586?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 + 17*f**2 - 10971*f + 87710. What is t(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5636 + 6584. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0, -41, 18, -7 in decreasing order.\nAnswer: 18, 1\/2, 0, -7, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m + 18. Let q = 141 + -139. Let k be u(q). Solve -3 = 3*c - k*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5591 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/12190465 and 2\/45.\nAnswer: 109714185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - -5. Suppose w = 3*d - 7*n + 3*n, 22 = 5*d + n. Suppose d*v - 12 = 3*c, -20 = 5*c - 0*c. Solve v = -4*i + 8 - 28 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.47219 micrograms?\nAnswer: 3472.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84339?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 0, -h + 5*h - c = -24. Let v(j) = -j**3 - 6*j**2 - 9*j - 8. Calculate the remainder when v(h) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 2*d + 5. Suppose 5*g + 2*f = 10, -g + 0*f = f - 2. Let o = -5 - -7. Suppose x = g*i + 12, o*i + 4*x = -0*i + 8. What is a(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 5:57 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 283 + -301.7. Let h = d - -19. What is the smallest value in h, 2, 4\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -2.76 (c) -13\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8112 - 8193. Let h = -36486 - -36566.884. Let b = v + h. Round b to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -434905 at most -434908?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 24*l - 24. What is the lowest common multiple of 10 and t(20)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6275 divided by -25?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, v: 4, z: 1}. Give prob of sequence vzv.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13856568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 8:15 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, c: 6, x: 6, p: 1}. What is prob of sequence qxpx?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {l: 2, w: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(26\/(-117)) + (19 - 1075\/(-50)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -209 - -209. Let h be 2\/((4\/3)\/(-2)). Put h, -1, v in decreasing order.\nAnswer: v, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22311 (base 4) to base 3\nAnswer: 221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from {o: 2, k: 4, s: 2, j: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418\/8 - 6\/24?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-161937)\/(-95) - 3\/5?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -722*f + 5063. Let n be a(7). Solve -17*j + 15*j = y - n, -2*j + 6 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 487453 and 712?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 296, 292, 278, 248, 196, 116?\n\"Answer: -r**3 + r**2 + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 334*a + 5. Let f(m) = 167*m + 3. Determine -5*f(z) + 3*q(z).\nAnswer: 167*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007111 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-46 + 37))\/(2 + 24\/(-10)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*y - 0*z - 1, -3*z = -4*y + 41. Solve -v + y = 2*d - d, 0 = 4*v - 5*d - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*d + 2 + 10, 2*d = -2*y + 4. Suppose 5*z - 11 = d. Differentiate -13*w + 21*w - 1 - 1 - z with respect to w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -1\/6*f**3 + 93*f**2 + 0 - 11\/24*f**4 + 0*f. Let g(m) = 2*m**2. Determine g(i(h)).\nAnswer: 242*h**2 + 44*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109535, 109531, 109537, 109559, 109603, 109675, 109781?\nAnswer: 109927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 4. Let d(a) = a - 1. Let v(q) = 6*q - 4. Let k(n) = 5*d(n) - v(n). Let p(h) = 3*k(h) - l(h). Is p(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 78\/25, 2\/37 in descending order.\nAnswer: 78\/25, 0.1, 2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 12*i + 1. Let x(z) = 4*z. Let b(w) = -3*s(w) + 8*x(w). Let v(u) = -5*u - 4. Suppose -4*c + 5*a - 2 = 0, c - 4*a = -6*a + 6. What is c*v(t) - 3*b(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-75)\/(-6)*(-2 + 4). Let n = -21 + y. Solve n*u = 4*v + 1 + 19, 2*v = -4*u + 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + sqrt(800) + 1*(sqrt(800) + 1*sqrt(800))))**2 + 1.\nAnswer: -480*sqrt(2) + 7217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 14 = -3*u, 5*u - 4*m - 16 - 10 = 0. Let s be 1\/u + 6\/(-12). Let d = -0.6 - -0.7. Which is the nearest to d? (a) -4 (b) s (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/152450661?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183692754.\nAnswer: 2, 3, 7, 1457879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 11:46 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/(-12) + 2\/(-6). Suppose 0 = 4*n + q - 12, -20 = -3*n - n - p*q. Suppose c - n*c = -27. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2826 = -d, -5661 = -9*c + 7*c + d. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 n when three letters picked without replacement from dddddnddndndddnndnn?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(693)\/(sqrt(55)\/sqrt(5)) + (sqrt(63) - 3*sqrt(567)))\/((-1*sqrt(99)*-6)\/(sqrt(275) + (-2*sqrt(275) - sqrt(275)))).\nAnswer: 35*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**6\/60 + c**3\/6 + 9*c**2\/2 - 5*c. Let l(y) be the first derivative of m(y). What is the first derivative of l(r) wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451 = 5*t + 599. Let j be ((-14)\/(-10))\/(6\/t*7). Let z be (-2)\/5 - 1\/(-15). What is the third biggest value in 4\/5, j, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -111? (a) -3\/5 (b) 0.03 (c) -0.5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2824 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 189848778 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 + 108. Let s(c) = -c**3 - c**2 + 3*c - 4. Calculate s(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 87 = 3*x, 3*x - f = 56 + 28. Suppose -4*z - x = -5*k, -3 = 2*z - z. Solve -3*t + t = 4*w - 6, -k*w = t - 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 4*s + 972, 2*l - 5*s = 3*l + 206. Let z = l + 200. Solve -5*u + z = 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0778817 centuries to years.\nAnswer: 7.78817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (505\/60 + -9)*(384\/(-1120))\/(-6)\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45d5 (base 15) in base 11?\nAnswer: -10158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r**2 - 12*r**2 + 28 - 1475 + 12*r**2.\nAnswer: 21*r**2 - 1447","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4038 - 4010. Solve -20 = -23*a + z*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, 0.5, 0.1, 3\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnhn. What is prob of picking 2 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 33\/(-15) + 1*2. Let m = -63631 + 1463515\/23. Sort 1, b, m, 5\/3.\nAnswer: b, m, 1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqqqo. Give prob of picking 1 o, 1 d, and 1 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.141 - -0.031. Are j and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 1:11 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 27. What is the remainder when v is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*g + 221 - 317 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 + 56.3. Let c = 4.6 + f. Is 24 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 2412\/306) + 278\/238.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.32 + 22.68. Let u = -19 + p. Which is the second smallest value? (a) 0.1 (b) 0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:40 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -n + 10. Let z = 8\/201 + -509\/1005. Calculate the common denominator of z and 261\/2*(-2)\/n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11320 is divided by 61.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3898441026 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/3))\/(w\/(w\/(w**(-14)*w))*w) assuming w is positive.\nAnswer: w**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 135653056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7 and -0.13029.\nAnswer: -0.221493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44*f - 21 - 78*f + 114 - 23*f - 64*f wrt f.\nAnswer: -209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508*p**3 - 1369*p**3 - 2618*p + 2618*p.\nAnswer: -1877*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397 = -y + 389 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.271 - -6.729. Let i(l) = 2*l - 9. Let r be i(6). Which is the third smallest value? (a) r (b) 2\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3\/5, 3\/2, -5, 64, -0.697 in decreasing order.\nAnswer: 64, 3\/2, 3\/5, -0.697, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 2*p + 3. Let i be (-6)\/(-4)*(-4 - -2). Let y be t(i). Let w be (-1 + y\/3)*1. What is the biggest value in w, -2, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -142*w**2 + 278*w**2 - 137*w**2. Let n(k) = -42*k. Give g(n(o)).\nAnswer: -1764*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i - 24. Let y = -12355\/12 - -1028. Find the common denominator of y and (2 + 266\/i)\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 61, 54, 43, 28, 9, -14, -41?\n\"Answer: -2*o**2 - o + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-1\/18))\/k)\/(k\/(k\/(k**4\/k)))*k*k*(k*k**(-8\/3)*k)\/k*k*k*k*k**(-13)*k*k*k assuming k is positive.\nAnswer: k**(-155\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t - 2*a - 1940 = 0, -5*t - a = -9656. Let g = 2729 - t. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -2)\/(26\/1248*-16)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94220 is divided by 1344?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*((sqrt(108) - (0 + sqrt(108))) + sqrt(12)*2))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 2 + 0)*(3 - 3 - 2) - 4 + 2 + 0)*((5 + 0 + 0)*(-k + 0 + 0) + (3*k - 7*k + k)*(3 + 0 - 2)) in the form l + f*k and give f.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 6358 = -56*q + 6709, -2*q - 6*u + 30 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((1 - -3) + 4 + -11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 0, 1, 0.07896, 0.2, 4.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/3 + 0. Let n = -5 - -3. Let f be (-3 - -2)\/(n - -1). Which is the nearest to -1? (a) r (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-19472)\/((-78)\/(-273)*(-14)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -68666*s - 824036. Calculate f(-12).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1180 and 136526.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29899 - 15060 - 14839 + 222*x.\nAnswer: 222*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3366636 to the nearest integer?\nAnswer: 1835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Suppose -45 = -z*y + 18. Suppose 2*r - t - 121 = 0, 0*r = 3*r - 5*t - 164. What is the highest common divisor of y and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u - 3*u + 27. Suppose u*v + 10 = 85. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*w - 1933 = 607*w + 940 + 3351 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Suppose 1 = -x + r. Suppose -2 = -4*f - 2*i, 3*i + 1 = -6*f + x*f. Which is the nearest to -0.1? (a) f (b) -4\/3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106077\/16 + 6635. Find the common denominator of (-75)\/(-4) - 1*-5 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 10*g + 0*g**2 + 0 - 1\/2*g**4 + 0*g**3. Let v(z) = 3*z**2. Give i(v(p)).\nAnswer: -54*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -137 - -549\/4. Let d = 165 - 3133\/19. Which is the second smallest value? (a) d (b) 2\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 = 3*c. What is the highest common divisor of c and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -10 - 26. Let v be 40\/l + 2\/(-6). Let m = -6 + 4. Which is the smallest value? (a) m (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 21.036. What is u rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2203.178 to 0 decimal places.\nAnswer: -2203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 1 = d, 0 = 5*g - 4*d - 3 - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12685, 12612, 12417, 12040, 11421, 10500?\n\"Answer: -10*n**3 - n**2 + 12696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24646807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2800, 5526, 8266, 11026, 13812?\nAnswer: 16630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/(c\/(c\/c**(1\/3))*c))\/c)**(-32\/3)*(c*c**(-2\/11))\/(c*(((c**3*c)\/c)\/c*c)\/c))\/(c**(-3\/5)\/(c*c**(-2\/5))*(c**0\/c)**(25\/2)) assuming c is positive.\nAnswer: c**(14923\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-8*d**4 + 2126*d**4 + 1210*d**4).\nAnswer: -3328*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5179 equal to 5177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2 + 28492*t + 28730325 = 0. What is t?\nAnswer: -975, 29467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4584.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/10 - -2)*(-24)\/(-15). Let i be (4\/10)\/(2\/(-20)). Let g be 2\/(3 - (-2 - i)). Solve 2*h = 2*m - g, a*m - m - h - 5 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261, 553, 1039, 1719, 2593?\nAnswer: 3661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 12:59 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 x, and 1 u when three letters picked without replacement from qrrwxrqqguwwrgqurggr?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 12. Let u = t - 5.7. Let f = -584\/3 - -193. Which is the nearest to 1? (a) f (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2703207 (base 10) in base 9?\nAnswer: -5070083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43438 + 882992.6.\nAnswer: 839554.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (sqrt(119) - -3*2*sqrt(119)) - sqrt(119)) + (sqrt(119) - sqrt(119)*-2)*-1)\/(-2*(sqrt(175) + sqrt(175)*-3))*-2.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)*(g**(3\/4)*g)\/g*g)\/(g**(-1\/4)\/(g*g*g**0)))\/((g**4*(g\/g**(2\/21))\/g)\/(((g*g**6*g*g)\/g)\/(g\/((g**(2\/9)\/g)\/g)))) assuming g is positive.\nAnswer: g**(272\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/z**(-5\/3)))*z)\/(z*(z**4\/z)\/z)*(z**(-2\/9))**(2\/27))**(-16\/3) assuming z is positive.\nAnswer: z**(-2528\/729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 22*j - 18. Does 13 divide q(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -140.\nAnswer: -140.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 17\/2. Let m(y) be the first derivative of 2 + 2*y + o*y**2. Let p(b) = -b - 1. Calculate -2*m(z) - 5*p(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.08 + 22.92. Let s = p - 19. Let d be 6\/(-7)*(-2)\/(-3). Sort 2\/7, s, d in descending order.\nAnswer: s, 2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48545*y**3*z**3 - 138*y**3*z - 10*y**3 - 5*y**2*z**3 + 2*y**2 - 6*y*z**2 + 60897*y - 9*z**3 wrt y.\nAnswer: 291270*z**3 - 828*z - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202480 rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19809894 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 13 - 9 - 2 - 15 - 5*i + 21*i**2. Is a(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(70)*1*-3 + sqrt(70) + -2*-2*sqrt(70)))\/(1*sqrt(1000)*-4 + (sqrt(1000) - sqrt(1000)*-2*-6)).\nAnswer: -4*sqrt(7)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1540146183 + 31\nAnswer: 1540146214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -583*b*d*r - 43124*b*d - 3*b*r - 7*d*r + 860*d - 434*r wrt r.\nAnswer: -583*b*d - 3*b - 7*d - 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/((-1260)\/(-49))*1362\/3178)\/(2\/(-708))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17 * 8.269\nAnswer: -140.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 4) to base 3.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -13. Solve -j*a + 5 = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -417?\nAnswer: 1\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g - 33. Let t be h(14). Suppose -2*u - 3*x + 38 = -t, 3*u - 4*x = 113. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.298 and 0.01.\nAnswer: 0.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/527520 and -3\/148.\nAnswer: 19518240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*s**2 + 82*s**2 - 13*s**2)*(7*s + 98 + 97 + 5*s + 102 - 9*s).\nAnswer: 165*s**3 + 16335*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/(1932\/24))\/((-6)\/14)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 24*m. Let l(c) = 45*c**2 + 18*c - 9. Let f(a) = -43*a**2 - 16*a + 8. Let o(n) = -9*f(n) - 8*l(n). Determine o(y(s)).\nAnswer: 15552*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*g + 319*g - 828 = 29*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 147930 divided by -5\nAnswer: -29586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 161001 - 78410. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 47 + -16 + 14.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/12)\/(4\/40))\/(5*(-7)\/315)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*a + 10*a = -13*a. Let i be -1 + 8\/(-1 - -3). Suppose -5*p + a*p + 8 = i*k, p = -k + 2. Which is greater: k or -3\/19?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100084 = 39*b - 205163 + 99463 for b.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**3 + 7*h**3 - 13*h**3.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 388 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -3*y - 2*y - 7*y - 640, 0 = -5*o - 2*y - 98 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201121 (base 4) in base 9?\nAnswer: 15146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(510\/(-20)))\/((-92)\/(-69))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + w - 2*w + (0 - 3 + 4)*(4 + 3*w - 4)*(1 - 1 - 1).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 5 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/924925 and 69\/20718320?\nAnswer: 103591600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + 0. Let v = 149\/12 + -47\/4. What is the smallest value in v, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -516*r - 2935 - 4805 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 8:41 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.18 + -3.18. Let p = -0.028 + 0.328. Which is the closest to s? (a) 0.1 (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/7 of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 2. Let j be s(0). Suppose 0*p - j*p + 8 = 4*f, 12 = 3*p - f. Suppose -t - p*t = -120. What is the greatest common factor of t and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/20 and 43\/3488.\nAnswer: 17440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + (sqrt(125)*-1)**2 + sqrt(125) + 0.\nAnswer: 10*sqrt(5) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -m - 0. Let k be m - (-5 + 4\/2). Solve k = -b + 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m = 27. Suppose 6 = -5*b - 4, -3*b = -4*x - 22. Let r = x - m. Solve 3 = h + o - r, 0 = -2*h - 3*o + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**5\/5 + j**4\/4 + j**3 - j**2\/2 - 2*j + 57. Factor x(r).\nAnswer: -(r - 2)*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 16965, 2 in increasing order.\nAnswer: 2, 5, 16965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -616c22 - 2c?\nAnswer: -616c4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 112782279 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-460)\/(-4370) - ((-1088)\/133 - 8\/(-28))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.65 * 534.73.\nAnswer: -3021.2245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxiaaia. Give prob of sequence vaa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 299*y - 881. Give n(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 - 38 = 2*f. Let j = 50 + -34. What is the remainder when f is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**2 + 83*y - 212. Give h(18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*((-66)\/(-88) + 20\/(-16)). Solve c*b + 74 - 94 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 21. Let w be a(19). What are the prime factors of (-22)\/(-33)*402\/w?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -124*f**2 - 12029*f - 72. Determine t(-97).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*c + 7, -3*c = -8*c + 2*f - 40. What are the prime factors of (c + 3)\/(6\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 187032091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45706237 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -149*a**2 - 3875*a + 24. What is s(-26)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -14041 at least -14010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 3*v - 43*f - 88, -v + 2*f - 16 = 0 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 27, 67, 125?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -620522, -1241044, -1861566?\nAnswer: -2482088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**8\/10080 - g**7\/630 - g**6\/90 + g**5\/3 - 14*g**2. Let z(f) be the third derivative of u(f). Solve z(j) = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 18*t**2 - 13*t - 4. What is f(-17)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(2430) + sqrt(2430) - sqrt(2430))*4)\/(1*(sqrt(168)\/sqrt(4))\/sqrt(7)) + -2)*-2.\nAnswer: 4 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -914.2703 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**10\/181440 - l**8\/20160 + l**6\/4320 - 5*l**4\/12 - l. Let i(m) be the third derivative of j(m). Factor i(g).\nAnswer: g*(g - 1)**2*(g + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:00 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 6*v - v - 2*u, 6 = 2*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8102 - -19342. What is the greatest common factor of p and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + q - 3*q - 4 - 2*q - 9.\nAnswer: -q - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 12 = -3*o - 0*b, -2*b = o. What is the tens digit of -10 + o + (0 - 0 - -92)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 4, -72, -32, 5.\nAnswer: -72, -32, -2, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.366 and 0.4?\nAnswer: 1.3464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f. Let c(r) be the third derivative of -5*r**4\/8 + 11*r**2. Calculate y(c(p)).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 624 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11197*g*j**2*y + 25*j**2*y - y wrt g?\nAnswer: 11197*j**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 64 = -12*j. Suppose 3*i = -5*r - 34, 2*r = -2*r + 2*i - 14. Which is the closest to 1\/2? (a) j (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*y + 85, 3*y + 0*o = 5*o - 41. Let q = 9 - y. What is the remainder when 61 is divided by q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3135 and 39.\nAnswer: 40755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1398 and -3.\nAnswer: 4194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 6*m**3 - 482816*m**2 - 321880*m = 0.\nAnswer: -2\/3, 0, 80470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 47.99891 years?\nAnswer: 4.799891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.0723 + 0.1623. Let i = g - -13. Let z = i + 2.91. Sort -4\/7, z, 0.2 in descending order.\nAnswer: z, 0.2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 37.68. Let n = o - -0.29. Let q = -95\/3 - -32. Which is greater: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, 426, 1947, 4920, 9831?\nAnswer: 17166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64155\/1880)\/(-8*(-69)\/(-368)).\nAnswer: -91\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0.5. Which is the nearest to -5? (a) x (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25610243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-775)\/85)\/((-4340)\/(-527))\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -140*o + 119. Let l(c) = 17*c - 15. Give -49*l(u) - 6*p(u).\nAnswer: 7*u + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, y: 3, b: 4}. Give prob of picking 2 p, 1 y, and 1 b.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5855698us to milliseconds.\nAnswer: 0.0005855698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, -242 in descending order.\nAnswer: 10, -4, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7703117561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.09 (b) -4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11))*5 - (sqrt(11) + -1)*4.\nAnswer: sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 597827168 to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 7:14 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -191573 divided by 17\nAnswer: -11269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1329*a**2 - 1329*a**2 + 452*a**3.\nAnswer: 452*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 5*i**2 - 2*i - 2. Suppose 0*j - 12 = 3*j. Let a(z) = z**2 + 4*z - 180. Calculate the remainder when c(j) is divided by a(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 6.144981?\nAnswer: 0.6144981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 67\/2438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1097 - -1010. What is the tens digit of -110*t*(-1)\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 570710714 to the nearest integer?\nAnswer: 23890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -132+0.14401\nAnswer: -131.85599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130*(-322)\/(-920)*8\/(-26).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*c*g*s + 33*c*g - 11*c*s - 23743*c - 2*g*s + 60*g + 1193823*s with respect to s.\nAnswer: -9*c*g - 11*c - 2*g + 1193823","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c + 2*c**2 - 2*c**2 + 11071*c**3 - 11075*c**3.\nAnswer: -4*c**3 + 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 3:03 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j - 7. Let u be s(3). Suppose b - 3 = 2*y - 10, 2*y + 2*b = -u. Suppose d - 15 = -y*d. Solve m - 4 = d*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/9 (b) -6\/11 (c) 0.1 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1937174.7.\nAnswer: 1937174.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 106257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 30 = o + 2*q, -2*q + 64 = 3*o. Let i be 2\/(-9) - 34\/9. Let r = 2 - i. Solve y - o = r*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/16*16\/12)\/(767\/(-118))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8 = -17. Let x(i) = i**2 - 15*i - 34. Let t be x(17). Solve q*h + t = -15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129 + 140. Let w(g) = -1 - 6*g + x*g - 2*g - 1. Let f(r) = -r + 1. Give -5*f(d) - 3*w(d).\nAnswer: -4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -5, 0.4 in decreasing order.\nAnswer: 0.4, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 712*m + 1805 - 5562 = -6930 - 8219 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105362 (base 7) to base 13.\nAnswer: 8696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410*r + 28 - 28.\nAnswer: -410*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1658130285.\nAnswer: 3, 5, 7, 19, 197, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/31, -1\/14, -29, 28, -3 in ascending order.\nAnswer: -29, -3, -1\/14, 2\/31, 0.3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 5*k + 2*l, -4*l - 50 - 24 = 5*k. Let b be k\/6 + 1*15. Let x be ((-5)\/(-3))\/(4\/12). Solve -x*d + d = -b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717 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: Is 91683 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59999 + -18539747\/309. Let d = o + -197957\/618. Which is smaller: d or -320?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -134917, -539693, -1214327, -2158825, -3373193, -4857437, -6611563?\n\"Answer: -m**3 - 134923*m**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*z + 73*z - 28 = 0. Let h be z - (-1)\/((-378)\/1560). Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -67, -45, -17?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 779, -80, -5\/6?\nAnswer: 779","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*l = 0, -2*l = 3*k - 0*k - 1. Let b(m) = 58*m - 4. Let v be b(k). What is the highest common divisor of 135 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + 1 + 81*h**2 - 79*h**2 + 3*h - 20*h**4 to the form x + z*h + o*h**4 + w*h**3 + f*h**2 and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 547 or 7?\nAnswer: 547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7550 divided by -5.\nAnswer: -1510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u. Let c(f) = -507*f - 44. Let y(z) = 1016*z + 77. Let s(v) = -7*c(v) - 4*y(v). Calculate s(n(l)).\nAnswer: -2060*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 7*i - i**2 + 0 + 7*i to a + j*i + r*i**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 8*k + 7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = w + 277 - 268, 5*x + 6*w = -42 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49\/65 - 2\/13. Let d(f) = f**3. Let o be d(-1). Let g = 0.04 - 5.04. What is the closest to o in g, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/660510 and 13\/157520?\nAnswer: 58124880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*j = -2*v, -4*v - 7 = -5*j. Let g be 2 - v\/3*-8. List the prime factors of 1 + g + 1 - -101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 5742\nAnswer: 51678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*y - 17*y - 118*y)*(-37*y + 110 - 110).\nAnswer: 3996*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -67\/2. Is 2 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 941770 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: Which is the nearest to 0.2? (a) -0.2 (b) -73 (c) -0.1 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 107*x - 2341. Let b be d(-31). Let c be (-2)\/4 + 94\/4. Suppose -7 - c = -b*n. What is the remainder when 23 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 62053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 165335*b**4 - 800874.\nAnswer: 661340*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -5, -2\/3237, -0.1?\nAnswer: -2\/3237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43558 and 1566.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 4*x + 2. Let g be d(4). Suppose -s + 91 = -g*l, s + 55 = -5*l - 169. Let a be 0 + (-5)\/(l\/2). Is a greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9874586 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (10 - -3) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2244 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13272 divided by -28?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9302 - 9302.1. Let w = -5 - -8. Sort 2\/19, -19, p, w in increasing order.\nAnswer: -19, p, 2\/19, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3\/6 - 895*i**2\/3 + 1805*i\/6 + 1795\/3.\nAnswer: -5*(i - 2)*(i + 1)*(i + 359)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.044 or -9?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 42*j + 5. List the prime factors of s(39).\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) -5\/3122 (c) -4 (d) -3\/62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-36)*-3)\/(55\/(-1914)*(-20)\/(-50))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 9 - 2*p + p + 2*p.\nAnswer: p + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2842*m + 1316*m + 1331*m to x + o*m and give o.\nAnswer: 5489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (1 - 0) - (56 - 53)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -367\/90 equal to -22.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 3, 2 in decreasing order.\nAnswer: 5, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-13)\/((-3705)\/(-10))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqyqyvvqyyqqyvyqyqvq. Give prob of picking 1 q and 2 v.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8853 - 8853.3763. Let p = -180.5237 + n. Round p to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -344*k + 4*k**3 + 1158*k - 8*k**3 - 250*k**2 - k**3 + 246*k - 1080.\nAnswer: -5*(k - 2)**2*(k + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -35*i + 38*i - 3433985, 2*z + 1716975 = 5*i. What is z rounded to the nearest ten thousand?\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(((-30)\/(-225))\/1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 - -0.4. Let h = 2.5 + i. What is h rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 5 - -1) + 1 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -47.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -13.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39.7 + 40. What is the closest to 2\/3 in 0.04, q, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*p + 30. Let a be (-3332)\/(-170)*(-10)\/(-4). What is the greatest common divisor of p and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-184)\/(-132) - 105\/((-194040)\/(-112)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -3, -5, 0.01, 1, -2\/37 in decreasing order.\nAnswer: 1, 0.01, -2\/37, -3, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2666)\/(-2795) + (-15)\/(225\/12). Let o = 5 + 2. Let j be (0 - -2) + o\/(-4). Sort t, j, 1\/3 in decreasing order.\nAnswer: 1\/3, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 3 - (-3)\/5. Let n = 5.827 + -5.827. Sort q, n, 4 in descending order.\nAnswer: 4, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 246.684 kilometers to meters.\nAnswer: 246684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -11*x + 2. Let s(b) = -16*b + 3. Determine 7*r(d) - 5*s(d).\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)\/b*b\/(b*b**(-3\/2)))**(-1\/30)*(b**(-1\/4))**(-30)\/((((b*b\/(b*b**2))\/b)\/b)\/b**9) assuming b is positive.\nAnswer: b**(857\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8*g. Let d(j) = -j**2 - 9416*j. Calculate d(x(c)).\nAnswer: -64*c**2 + 75328*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (0 + (-4 - -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 11*m**2 + 20*m - 88. Calculate the remainder when a(4) is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(45\/(-29)) + -6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21500 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*x - 185*x - 687 - 963 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16472 + 16513.191. What is v rounded to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*c**4 - c**4 + 26*c**4 + (3*c - 5*c + c)*(-2*c**3 + 2*c**3 - 2*c**3) + c**3 - c**4 - c**3 to the form z*c**4 + f*c**2 + q*c**3 + a*c + l and give z.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(-1\/7)*y)*y**(-19)*(y**(-2\/27)\/y*y)\/y**(-1\/3) assuming y is positive.\nAnswer: y**(-3704\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 313810033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 4 + 1*sqrt(192) + (-1 + sqrt(192) - sqrt(192)) + 5 + -3)**2 + 3)*4.\nAnswer: 448*sqrt(3) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 4, 5, 307, 2 in descending order.\nAnswer: 307, 5, 4, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (8768*v**3 - 8768*v**3 + 161*v + 3*v**4)*(0 - 2 + 3) in the form g*v**3 + f*v**4 + a*v**2 + l*v + k and give l.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 221.263 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, o: 1, w: 1, x: 3, f: 7}. What is prob of sequence oix?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.3, 0.1, 0, -69381, -3 in increasing order.\nAnswer: -69381, -3, -0.3, 0, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 2563144?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v - 9. Let y = -25 - -29. What is the remainder when 50 is divided by k(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-87)\/1305)\/(8\/(-12))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 2\/11, 18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20 and -1069240?\nAnswer: 21384800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 129 - 3\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - n + 2312 = 924, -m + 1394 = 2*n. Is m less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 0.2, 66.8?\nAnswer: 66.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37943995 and 12820?\nAnswer: 3205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95487 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 686*u**4 + 2333184*u**3 - 2000208*u**2 + 571520*u - 54432.\nAnswer: 2*(u + 3402)*(7*u - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1626604197 to the nearest integer?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 21\/22, -0.112 in ascending order.\nAnswer: -0.112, 21\/22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**2*z**6 + 2*y**2*z**4 + 10*y**2*z + 2*y - 5*z**2 wrt z?\nAnswer: -120*y**2*z**3 + 48*y**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from qhxxhqqhhhxqqxqxhhqq?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) 2.17 (b) -2\/9 (c) -1 (d) -668\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, c: 2, n: 6}. What is prob of sequence cn?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 3*b**2 + 2*b + 4. Calculate g(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 2)*(0*h + h + h + (0 + 0 - h)*(-3 + 4 - 3) - 2 + h + 2 + 100*h + 8*h - 224*h) to the form j + m*h and give m.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 3:30 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/(-98) - (-10)\/7. Let m = d - -13. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(65)*-3)\/(sqrt(180) + (sqrt(180) - (sqrt(180) + (sqrt(180) - -1*sqrt(180)) + sqrt(180)))).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 62, 83, 102, 119, 134, 147, 158?\n\"Answer: -x**2 + 24*x + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 95 = 5*w, -4*q = -w - 6*q + 18. Is (1264\/(-20))\/((-8)\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - ((-140)\/(-16))\/7)*2. What is the closest to k in -0.2, -8, -2\/11, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226823903.\nAnswer: 226823903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2773, -11116, -25023, -44494, -69529, -100128, -136291?\n\"Answer: -2782*u**2 + 3*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342655.\nAnswer: 5, 68531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 939 divide 92932830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3\/5, -4, 13, -5\/3, -11.3, 0.06, 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64242 and 2293534.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1356080 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 10.7. Let q = -0.16 + 0.56. Let l = 282.5 - 282. Sort s, q, l in increasing order.\nAnswer: s, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1340.1371501 and 2.6?\nAnswer: 1337.5371501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((4 - -13) + 9 - (0 + -2))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.053 + 47.947. Let h = 48 - s. Let a = 0.2 + -0.3. What is the closest to -5 in a, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*z - 234 = 0, -4*t - 15*z + 189 = -12*z. Solve t = 19*l - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1404*t + 1413*t + 36 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 - 1.94. Let g be 50*2\/30*(-2)\/(-5). Which is the nearest to s? (a) 1\/3 (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 32080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 637027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -58606, -1598, 3?\nAnswer: -1598","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 140, 146, 154?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 558*q - 15897. Give v(28).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -13*a - 9. What is s(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*u**2 + 17*u**2 - 14*u**4 + 18*u**2 - u**4 + 2*u**4 + u**4 + (u**2 + 4*u**2 - 6*u**2)*(-2*u + 2*u - u**2) - 3 + 3 + u**4 + u**4 + 3*u**2 - 3*u**2.\nAnswer: -9*u**4 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 16 - 16 + (2 - 2 + 2)*(3 + 1 - 3)*(-2 + 2 + 2*h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 659\/9 + -73. Let j = -1 + -2. Sort j, 4, r in increasing order.\nAnswer: j, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2406312 to the nearest integer?\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1, -1\/195, -17 in increasing order.\nAnswer: -17, -1\/195, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -212.3 times 0.1123?\nAnswer: -23.84129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01004 to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*14\/(-3500))\/(4\/30*9)*-16?\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 199 + 89 + 21 + 26 - 8*y + 45.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -4*l - 28, -4*l + 45*g + 26*g + 20 = 85*g for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**5\/180 + a**4\/72 + a**2\/2 + 3. Let o(k) be the second derivative of c(k). Suppose o(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-121)\/110 - (-3)\/(-5). What is the nearest to r in 1.1, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14405 - -1) + (30\/(-5))\/3. Suppose -4*j + 14389 = 3*b, -7*j + 8*j = -3*b + w. What is b rounded to the nearest one hundred?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 1. Let o(t) = -9*t - 5. Let i(c) = -o(c) - 5*r(c). Let p(k) = 17*k + 2. Determine p(i(n)).\nAnswer: 68*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**6\/40 - n**5\/30 - n**4\/24 + n**3\/6 - 20*n**2. Let o be d(-2). Is -29 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18450 = 1734*w - 39055 + 2017 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let z = -9 - -10. Let a = z - 4. Calculate y(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 56, -7, 2 in increasing order.\nAnswer: -7, -5, 2, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079 less than -224.7320419?\nAnswer: -224.6530419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 29. Suppose 13 = a + g. What is the remainder when 47 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 7:38 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76003.50412372 + -0.52532372. Let z = c - 76034. Let b = -31 - z. Round b to 3 dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 267\/7 + -38. Sort t, 0.4, -8.\nAnswer: -8, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, -4 in decreasing order.\nAnswer: 2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-9))\/(2\/6). Let u be (153\/(-66) - -2)\/x. Let t = u - -5\/154. Which is the closest to -1\/4? (a) t (b) -0.1 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30564246 to the power of 1\/3, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 0*m - 13*m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 681 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17430 and 169680.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 16.4, -1.56, -91, -2\/19?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*q + 574, 1 = j - q - 121. Suppose s = 4*w - j, -4*s = -3 - 5. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:24 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 129343 - -16?\nAnswer: 129359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-2) + -1)*(-11 + 10). Suppose z + 67 = 3*m - 10, -3*m = -o*z - 76. Solve -m = 9*s + 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u = -10. Let f(v) = -v**3 + 5*v**2 + 3. Let l be f(u). Suppose 0 + 0*r**2 - 1\/4*r**4 + 0*r**l + 0*r = 0. What is r?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111438 a multiple of 453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 13 = 3*k, 3*k - 12 = -10465*h + 10462*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -9328*w + 9326*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256, -861, -1818, -3085, -4620, -6381?\nAnswer: -8326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (5 + -11) - (5 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275958 divided by -6.\nAnswer: 45993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/21 and 35\/801?\nAnswer: 5607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142\/17, 6, 5, -1\/5 in decreasing order.\nAnswer: 6, 5, -1\/5, -142\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -51*z + 271. Suppose 0 = -4*v + 5*v - 5. Calculate the smallest common multiple of 92 and l(v).\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2689, 2675, 2653, 2623, 2585, 2539, 2485?\nAnswer: 2423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 427.9 in 1\/4, 29, -5, 0.17?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 52 = -g, -114*g + 2*p = -106*g - 396 for g.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 34 = 21. Let h(y) = y**3 - 12*y**2 + 12*y - 10. Let j be h(z). Let i = 0 + j. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143214430 (base 5) to base 11.\nAnswer: 478128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -311140221 (base 6) in base 4?\nAnswer: -110201012311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**1*r*r)**(-23)\/((r**0\/r*r)\/r)**(11\/2)*(((r*r*r*((((r\/(r*r**7))\/r)\/r*r)\/r*r*r)\/r*r*r)\/r)\/(r\/r**4))**(-14\/11) assuming r is positive.\nAnswer: r**(-1875\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**4 + 158272*w**3 + 128*w**2 + 264014073*w wrt w?\nAnswer: -12*w**2 + 949632*w + 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 1. Suppose 34 - 55 = -7*n. Which is the nearest to n? (a) -1 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 78056.\nAnswer: 78056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -229 and -5\/56 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(3168)*-2 + sqrt(3168) + (sqrt(3168) - (sqrt(3168) + (2*sqrt(3168) - sqrt(3168))))*5)\/((sqrt(66)\/sqrt(600) - sqrt(11))*-3*-4).\nAnswer: 140*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 - 42. Let i = -14 + g. Let r = 19.4 - i. What is r rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26765?\nAnswer: 5, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 128*f. Let z(n) = 11*n**2. What is z(q(v))?\nAnswer: 180224*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 319064*h**3*j**2 + h*j**2 + h*j + 15*j**2 + 2*j wrt h.\nAnswer: 1914384*h*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102622050?\nAnswer: 2, 3, 5, 228049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412908.\nAnswer: 2, 3, 19, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -379\/2 or 1253?\nAnswer: -379\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 + 3.66. Let x = 0.4 + q. Let u = -0.8 - -1.1. What is the smallest value in 2\/7, x, u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b\/(b*b**(-1)))\/b)**(11\/6))**(-2\/77))**(-31\/4) assuming b is positive.\nAnswer: b**(31\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*(-1)\/(-48)*4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 190357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*g + 57*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0033978333 to 6 dps.\nAnswer: -0.003398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2904)*2 - sqrt(2904))\/sqrt(2))\/(-3*(sqrt(294) + sqrt(294) + -2*sqrt(294)) + sqrt(294))*1.\nAnswer: 11*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184755, 369515, 554275, 739035, 923795?\nAnswer: 1108555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3, 5, 73, 2, -501.84 in descending order.\nAnswer: 73, 5, 3, 2, 0.3, -501.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**5\/20 - 1111*z**4\/4 - 1234321*z**3\/2 - 2244*z**2. Find x, given that f(x) = 0.\nAnswer: -1111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2, 1\/3, -4\/19 in descending order.\nAnswer: 2, 1\/3, -4\/19, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -4*b - 9, 7*w = 4*w + 4*b - 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -98947134\nAnswer: 39578853.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (0 - -3 - 0). Let f be -1 + -6 - (-6)\/b. Let o = 10 + f. What is the smallest common multiple of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4133102 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*o = 577*o - 4*z - 5, 2*o = -6*z - 36 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-3 - -2 - -2)) + -12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -312134304 (base 5) in base 8?\nAnswer: -4721255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.2722211us?\nAnswer: 0.0002722211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/2 of a day?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (23 - 22)\/(1 + 4\/(-2)). Let h = 35.2 + -32. Let r = 3 - h. What is the smallest value in 1\/3, r, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 221 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -16*n - 2. Let r be u(-2). Suppose r = -x + 3*x. Let q be 1 + 4\/(12\/x). Solve 0 = 3*g - 0*g + q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-105)\/10)\/((-9)\/24). Let y = 30 - a. Solve -1\/4*x**5 + 1\/2*x**3 + 0*x**4 - 1\/4*x + 0*x**y + 0 = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-31 + 28)\/(1\/(1*-1)). Let k(l) = 10*l + 3 - o*l - 2 - 5*l. Let q(x) = -x. Calculate -k(p) - 4*q(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 5*u**2 + 5*u - 12. Let y be w(5). Suppose -50 - y = t. Let o = -23 - t. Does 39 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2115 + 2775. Let b = 23 + 37. What is the greatest common factor of v and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 276 and 17058.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.8 + -3.8. What is the third biggest value in -0.4, -19, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 168 + 1 + 0. Let n be 3\/((-6)\/r) - -2. Let t = n + 422\/5. Which is greater: t or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l + 8. Let w(i) = -i - 1. Let x(v) = b(v) - 3*w(v). Let p be x(9). Suppose 0 = 2*c - 6*c - c. Solve c = -p*s - 0*s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/6 + 1\/2. Let w(q) = -q**3 - 3*q**2. Let r be w(-3). Is m >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, r: 2, z: 1, a: 1, p: 1, i: 1}. Give prob of sequence apzr.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2796677 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00239 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50)\/(-84) + (-4)\/6. Is 0 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9786 and 4298?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 9:27 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21145914 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5\/4 + 9*f**4\/4 + 17*f**3\/4 - 69*f**2\/4 - 4*f + 15 = 0 for f.\nAnswer: -3, -1, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269513*w + w**2 - 3*w**2 + 269507*w + 269508*w - 808528*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 e when three letters picked without replacement from egqeeegeqqqeeghegee?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w - 1. Let b(f) be the second derivative of -15*f**3 + 2*f**2 - 10*f. Let a(s) = -b(s) - 2*h(s). What is the units digit of a(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2482 divided by -3\nAnswer: -2482\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 3\/2, -1, 803\/127 in ascending order.\nAnswer: -1, -2\/11, 3\/2, 803\/127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20450 + -20447. Suppose -16\/11 - 24\/11*t + 6\/11*t**y + 4\/11*t**2 = 0. Calculate t.\nAnswer: -2, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 152, 152, 142, 116, 68?\n\"Answer: -l**3 + l**2 + 4*l + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/1674 and -99\/20?\nAnswer: 16740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5*g - 2 + 2)*(1 - 6 + 1) - 5*g - g + 4*g - 4*g + 2*g + 0*g)*(-2 + 3 - 3) to x*g + l and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 4)*(4*k - k - 5*k) + 290*k - 34*k - 1093*k)*(-k + k + k).\nAnswer: -839*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 l when four letters picked without replacement from {l: 6, s: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-5) + (-1076)\/(-20) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-453)\/(-45) - (-4)\/(-10) and 4\/((-40)\/6) - 646\/(-60)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 22\/15 of a hour?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 40 - (-1 + 5) - -8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhggmgggmmhg. Give prob of sequence gg.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3639 or -3280?\nAnswer: 3639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/((-135)\/(-6)))\/(3*2\/(-45))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-864)\/(-2592))\/((-2)\/(-174))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*v**3 + 1520*v**2 + 56*v**3 - 1520*v**2 + 65*v**3.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 + 146. Sort 2, i, -5, -1.\nAnswer: -5, -1, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, -463, -695, -927, -1159, -1391?\nAnswer: -1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = -6*y - 641 + 1016 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005004 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 12. Suppose x - 455 = 3*r, 5*x + 0*r - 3*r - 2215 = 0. Suppose -10*z + 6*z + x = 0. What is the highest common factor of z and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + 1. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40746 + -23007. What is the thousands digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 192.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7, 3, 9, 11, 9, 3, -7?\n\"Answer: -2*n**2 + 16*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2062377 + -5?\nAnswer: -2062383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-5 + 2 + 2)*(11*r**4 + 5221 + 2*r**3 - 5221).\nAnswer: 11*r**4 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -50695?\nAnswer: 152085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152, -297, -442, -587, -732, -877?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 14*a + 8*a.\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/5 (b) 0.1 (c) -0.5 (d) -2 (e) 2 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512898440?\nAnswer: 2, 5, 37, 346553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from {e: 3, c: 1, t: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -14*w**6\/15 + w**5\/5 - 1113*w**2\/2 - 6*w + 58. What is the first derivative of v(l) wrt l?\nAnswer: -112*l**3 + 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 300 = 5*m. Suppose 9*v - 3*v = 30. Suppose 2*t + v*t = 105. Calculate the greatest common factor of m and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 - 4.9. Let w = 40.5 + -33. Let j = w + -8. Which is the biggest value? (a) p (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2269.178 - -2074.0778. Let y = d + 0.4002. Let h = y + 184. Round h to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v + 4*v - 1 + v**2 + 3*v. Is k(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2725574158?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4985480?\nAnswer: 2, 5, 23, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(70)\/sqrt(7)) + -4.\nAnswer: -4 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -368 + 1291679220155.\nAnswer: 1291679219787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -200213 (base 4) in base 8?\nAnswer: -4047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -52434*o + 209726. Calculate a(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - 167)\/14 - -20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*z**2 - 5*z**2 + z**2 - 2*z**2 - z**2 + 2*z**2 + (-3*z + z + 3*z)*(-4 + 4 - z) - 5*z**2 - 2*z**2 + 5*z**2.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -13*r - 27. Let u(a) = 14*a + 25. Let c = 128 - 125. Let y(g) = c*u(g) + 2*f(g). Let w(j) = -7*j - 10. Let v(q) = 13*w(q) + 6*y(q). Calculate v(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 5, -3 in increasing order.\nAnswer: -3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7\/16 (b) -0.2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**4 + 340 + 5*k**2 + 3*k**4 - k - 341 to q + d*k**4 + t*k + w*k**3 + i*k**2 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*l - 3*v + 7*v, -v = -1. Let b be (-1)\/(14\/(-108)) + -17*(-35)\/(-833). Solve 17 = l*q - b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**5\/2 + 15*i**4 + 153*i**3\/2 + 106*i**2 - 54*i - 144 = 0.\nAnswer: -24, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54.22 - -54.1. Sort v, -0.5, 2\/7, -1\/3 in decreasing order.\nAnswer: 2\/7, v, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 v when four letters picked without replacement from {t: 2, c: 1, v: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3757 + 3761. Solve -3*l + 16 = l - 4*r, 1 = o*l + r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 83200186 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.4767 and -7821.\nAnswer: -7823.4767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -85, -809, -5?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/8 of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8131528 - 5269238. What is y rounded to the nearest 10000?\nAnswer: 2860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c (base 16) to base 5.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/7)\/k**(-6\/7))\/(((k*k**(-3\/2)*k*k)\/k)\/(k*k*k**4)))\/((k**3)**(-1\/16))**(2\/9) assuming k is positive.\nAnswer: k**(1027\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**2\/9 + 9602228*g\/3 - 11525347820498 = 0.\nAnswer: 7201671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -i + 3*h + 21, 4*i - 14 = 2*h. Let s be 10\/1195*i\/(-1). Let a = s + 504\/3107. What is the second biggest value in -0.07, a, -0.5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (11 + (10 - 12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 89*a**2 + 536*a + 3121. Give n(82).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5082 divided by 4\nAnswer: 2541\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 6. Let j be v(2). Let r = j + 53. Suppose 2*t - 3*o - r - 16 = 0, 10 = -2*o. Calculate the remainder when 72 is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**9)**30)**42 assuming j is positive.\nAnswer: j**12600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s - 17. Let r(j) be the second derivative of 3*j**3\/2 + 17*j**2 - 2874*j. What is 5*p(x) + 3*r(x)?\nAnswer: 2*x + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c - 4 = -4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2077.708 to 0 dps.\nAnswer: -2078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 320443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 68*l**3 - 2*l**2 + l. Let k = -8 + 9. Is t(k) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -279*n**2 + 2*n. Let u(h) = 2*h - 2. Determine -u(v) + x(v).\nAnswer: -279*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -c - 3024 - 14979, -10 = 2*c. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -1270?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -9630 (b) -1 (c) 2\/7 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**3 - 19*i**2 + 30*i + 1. Let c(l) = l**3 - 6*l**2 + 10*l. What is -7*c(h) + 2*x(h)?\nAnswer: -h**3 + 4*h**2 - 10*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17367*g - 2442*g**2 - 17367*g.\nAnswer: -2442*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m. Let r(y) = -8*y - 4. Let u(f) = 11*f + 7. Let p(j) = 12*j + 8. Let z(a) = 4*p(a) - 5*u(a). Let g(v) = -3*r(v) + 4*z(v). Give l(g(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10 - 7 - 1 - 47*i**3 + 12 wrt i?\nAnswer: -141*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7592773?\nAnswer: 7592773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - -2 - (-122)\/(-1). Let u = 35833\/4 + -8837. Let c = u + k. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.88194 millilitres?\nAnswer: 0.00888194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5163 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 1024*v**2 + 84560*v - 2273600.\nAnswer: 4*(v - 116)*(v - 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (813 - 827) + -22 + (1 - 4).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 19*x = 0. Suppose -3 = -3*i + 2*o, -2*i + 2 = -x*i - o. Let q(h) = -3*h**2 - h. What is q(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110 + -101023303300?\nAnswer: -101023303130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c. Let l(f) = -4*f. Suppose -109*v = -111*v. Suppose -3*b + b + 5*y + 12 = v, 4*b - 24 = -2*y. Determine b*l(o) + 14*h(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 7:48 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 22. Let j = 16 + v. Which is the nearest to 1? (a) j (b) 2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b. Let c be u(4). Let q be (-3)\/((5 - c)*-1). Let z be -16 - (q*-2)\/3. Which is smaller: -13 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (6 + -7) - -6 - -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16\/111 + -67\/37. Which is the second biggest value? (a) z (b) -0.1 (c) 156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssww. What is prob of picking 1 w and 2 s?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = -7*x + 3*x - n, 2*n - 254 = -4*x. Calculate the remainder when x is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201 + -22201011?\nAnswer: -22200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*r**2 + 24*r**2 - 21*r**3 - 4*r**2 + 3 - 5*r**2 + 3*r**2 in the form z + o*r + b*r**3 + f*r**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 2\/11 (c) -0.1 (d) 0.68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c + 5. Let t = 1735 + -1744. Calculate s(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 a when four letters picked without replacement from {v: 2, a: 7}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 i, 1 o, and 1 u when four letters picked without replacement from uoioouddidjiokodudo.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ococ when four letters picked without replacement from {j: 10, c: 2, o: 3, s: 1}?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514565?\nAnswer: 5, 102913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - 2*a + 5*a)*(5 - 3 + 2)*(-43210 - 317*a + 43210) as p*a**2 + y*a + c and give p.\nAnswer: -2536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*w = -64, 4*p + 107716*w - 17 = 107713*w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 5 (b) -0.5 (c) -90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 + 4*g + 6. Is r(4) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/9)\/((-2)\/(-3))*1642\/(-821)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s**3\/7 + 1828*s**2\/7 + 1196*s + 3728\/7 = 0 for s.\nAnswer: -4, -1\/2, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n. Let y be 1\/3 - ((-1757)\/21 + 4). Let v(o) = y*o - o - 15*o. Determine v(d(p)).\nAnswer: -128*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 969*s - 480*s - 816 = 455*s for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -3\/4 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*g - 156 = 34*g. Let d(a) = 143*a**3 + a**2 - a + 1. Let z be d(1). Let k = -105 + z. What is the greatest common factor of g and k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttc when three letters picked without replacement from {c: 3, t: 13, x: 2}?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - h + 3*h**2)*(-50*h + 54*h + 78 - 4) to d + u*h**3 + t*h**2 + v*h and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 15) to base 14\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + (1 - -14 - 24).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 621266 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: What is 0 (base 2) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m + 7*m**2 - 7*m - 8*m**2.\nAnswer: -m**2 - 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y - 3 + 28 + y**2 - 33 - y**4 as b*y**2 + z*y**3 + d*y + q*y**4 + o and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyrtryyyttyyt. Give prob of picking 1 y and 2 t.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 12 + -26 + (28 - 14) + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-66))\/((-314)\/1727).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 801\/259765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451.6688g to kilograms.\nAnswer: 0.4516688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 18\/5 of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 4*l + 5. Let y be t(3). Let u = y - -18. Put 0, u, 4, 5 in decreasing order.\nAnswer: 5, 4, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 5*k**2 - 5*k. Let y be h(-4). Suppose -5 = -9*j + 8*j. Differentiate -5*u + j*u - y*u**2 - 6 with respect to u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -19 - -28 - 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 1. Let k(o) = -7*o - 3. Give -6*d(p) + k(p).\nAnswer: -p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2744612 by -2.\nAnswer: -1372306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.41 times 0.5\nAnswer: 0.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Let t(u) = -u + 3. Let n be t(i). Let c = -1 + 1. Which is bigger: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 5. Let o = s + 10. Solve 2*x = -x - o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 + 107*p + 0*p**2 - 119*p + 3 + p**3 to the form h*p + a*p**3 + i + o*p**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/3813204 and 20\/81?\nAnswer: 102956508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 437\/722 + (-5)\/10?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6864 and (-1920)\/(-190) + (-4)\/38 + -4.\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7526 - -7574. Suppose 3*p - 12 = -0*p. Calculate the greatest common divisor of w and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-381)\/9 + 43)*222\/4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = 3*n, 0 = 6*n - 4*n + 4. Differentiate 533*v - 5 - 2*v**p + 0*v**3 - 568*v - 86 with respect to v.\nAnswer: -6*v**2 - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 6\/7*a**3 + 0 - 4\/7*a**2 + 0*a - 2\/7*a**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.37880805 to one dp.\nAnswer: 104.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71114 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + s + 23 = 0, 14*z - 17*z + 26 = s for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27114509 - -11286523. Let b = l + -15861032. Round b to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 8:23 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = f + 44, -4*f + 4*w = -6*f - 116. Let i = -39 - f. What is the greatest common factor of i and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 1:34 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40095*m**5 + 962037*m**4 + 3074544*m**3 + 1769048*m**2 + 372496*m + 26832 = 0 for m.\nAnswer: -1118\/55, -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5\/6 + 1291289*h**4\/6 + 185270845745*h**3\/2 + 79748538599920379*h**2\/6 + 318976368729057932*h\/3 = 0 for h.\nAnswer: -430427, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, d: 1, h: 1, n: 2, e: 1, r: 2}. What is prob of picking 1 i and 1 r?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 12*o**2 + o. Let t(j) = -j**2 - j. Let i(k) = t(k) + w(k). Suppose 14*b = 19 + 9. Let z(s) = 0*s**2 + 3*s**2 - 2*s**2 - 4*s**b. What is z(i(q))?\nAnswer: -363*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -161.23 + 162.0627. Let v = j + -0.832705277. What is v rounded to 7 dps?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 n, and 1 d when four letters picked without replacement from {d: 7, w: 2, n: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*l = -192*l - 3406 + 7003 + 6807 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004561821 to five dps.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 38.35032ug?\nAnswer: 0.00000003835032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1434 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q - 24 = 0. Let o(i) = 9*i**2 + 4*i + 14. Let k(s) = 4*s**2 + 2*s + 7. Let d(g) = -5*k(g) + 3*o(g). Let n(a) = -a**2 - 1. Calculate q*n(f) + d(f).\nAnswer: f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**2 + r + 6. Let d(p) = -6*p**2 - 2*p - 6. Let q be (-68)\/(-11) + (-12)\/66. Let z(g) = q*d(g) + 7*u(g). Solve z(l) = 0 for l.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 16*f**2 - 7*f + 4. Let s be w(5). Suppose -u = -4*u + 3*i + s, 2*i = 0. What is u rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 + 85. Suppose -12 = -2*c - o, -3*c - p*o = -14 - 5. Solve -2*y + 6 = -0*y - 4*d, -y + c*d = -15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/5 - 986*r**4\/5 - 13184*r**3 - 175978*r**2\/5 + 166611*r + 188820 = 0.\nAnswer: -60, -5, -1, 3, 1049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -35?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -173 + 524 + 2*h**4 - 68*h**3 - 173 - 177 - 6*h to the form i*h + m*h**2 + j + p*h**3 + s*h**4 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, x: 1, o: 7, f: 2}. Give prob of picking 2 o and 1 f.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 79\/(-6) - 9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -32*u**2 + 129*u + 1. Let z be r(4). Solve z*s - 12 = 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 1\/6, -1, 0 in descending order.\nAnswer: 1\/6, 0, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8905 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 - 48. Let w be f\/(-24) + (-2)\/(-1). Let z = -3.1 - -0.1. Which is the nearest to 0.1? (a) z (b) w (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3773 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**5\/3 - 247204*y**4\/3 - 4202984*y**3\/3 - 7664348*y**2\/3 - 1236190*y = 0?\nAnswer: -15, -1, 0, 123619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by -1219\nAnswer: -25\/1219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 9 (b) 3 (c) -358 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 209, 486, 823, 1220, 1677?\n\"Answer: 30*m**2 + 187*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 944 or 423?\nAnswer: 423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 11*v + 20965. List the prime factors of v.\nAnswer: 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 9, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4421188 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*d + 110 = 4*u, -3*u - 4*d = -70. Suppose -2*g - 2*k + u = -0*k, -4*k = g - 24. What is the highest common factor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1265, -2417, -3571, -4727?\n\"Answer: -k**2 - 1149*k - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1265 and 242165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 77. Give m(-24).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*16.605.\nAnswer: -83.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4 - 14. Let l = i - -2. Calculate the remainder when l is divided by ((-8)\/(-6))\/(2\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 l when four letters picked without replacement from {f: 7, l: 3, m: 3, w: 3, d: 2}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 12*z**2 + 13*z + 316. Let w(q) = 10*q**2 + 11*q + 308. Calculate -4*h(k) + 5*w(k).\nAnswer: 2*k**2 + 3*k + 276","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 91. Let g = m + -34. Suppose -20 = -2*o - 2*o. Which is the smallest value? (a) o (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = v + 2*v - 11, -4*v = -4*m - 4. Suppose v*j - 955 = -237. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 0 (c) -3 (d) -2690.33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 25 = 4*y, 14*y - 12*y - 5*q - 35 = 0. Find z, given that 4\/5*z**4 + 0*z**2 + 2\/5*z**y + 0*z + 2\/5*z**3 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from vjxvwxjwixgj.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2373*w**3 + 374*w wrt w?\nAnswer: -14238*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*y**2 + 48*y**2 + 166*y**2 + 128*y**2.\nAnswer: 396*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12272*k - 52*k**2 + 49*k**2 - 12272*k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2484 + 29809\/12. Let i(j) be the third derivative of d*j**4 - 13*j**2 - 1\/60*j**5 + 5\/6*j**3 + 0*j + 0. What is i(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60093 - -51764. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8174007.\nAnswer: 3, 131, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(12) + sqrt(3)))**2 + ((1 + sqrt(11) + sqrt(11))*-3)**2 - (-5 + sqrt(11)*2 + 0).\nAnswer: 34*sqrt(11) + 3701\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -714*z**2 - 7*z + 81*z**3 + 7*z - 79*z**3 to j*z**2 + o*z + i*z**3 + w and give j.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2\/13))\/((b**(-2\/7)*b)\/b))**(-36) assuming b is positive.\nAnswer: b**(-4716\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 123.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - (3 - 7))*7 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*u = 85*u - 25. Solve -t = -u*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*z - 19. Let v be (-472)\/6*(4 + z). Let y = 78 + v. Which is the closest to 0.1? (a) 0.5 (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, c: 1, i: 7, x: 2, v: 1}. What is prob of sequence ivcx?\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, q: 6, j: 9}. What is prob of picking 2 q?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 8:03 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*t**3 + 186*t**2 - 185*t**2 - 117*t**3 to n*t + a + s*t**2 + v*t**3 and give v.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19857 + -18247. Calculate the remainder when y is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -25. Let c be -3*(i\/(-9))\/2. Suppose x = a + 3*a + 397, 0 = -4*x + c*a + 1600. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/6)\/(-3*6\/(-27)). Let q be (h\/30 + 26\/39)*685. Suppose 12*p - 9*p - q = 0. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -4*u - 3*w, 5*u + 4*w + 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13a (base 12) in base 7?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 - -2.6. Which is the second biggest value? (a) -0.2 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x\/(x**12*x*x)*x*x)\/x)**(-2) assuming x is positive.\nAnswer: x**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12605, -12625, -12645, -12665, -12685, -12705?\n\"Answer: -20*d - 12585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 375*n - 1505. Calculate f(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41288084 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -1\/7 (b) 286 (c) -1\/10 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-60)*-10 + (157 + 2 - 2). What is the greatest common factor of r and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090683636 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: Suppose 0 = -29*d - 84540 + 480042. Suppose 21*v = d + 13389. Is 39 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16110 (base 14) in base 7?\nAnswer: -316420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/12 - (-14532)\/(-176). Let n = l - -83. Let w = -8.1 - -8. What is the closest to -0.1 in 0, w, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -253, -302, -351, -400, -449?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -683 minus 5371268816?\nAnswer: -5371269499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 - 9228532*o\/7 - 10645725359378\/7.\nAnswer: -2*(o + 2307133)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 r, and 1 h when three letters picked without replacement from hhvmvqvhvvmvhvmmrvzq?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-1)*5 + 0. Suppose -1 = w + p, -2*w + 26 = -3*p + 3. Solve -5*v = w*u - 20, -4*v = 3*u - 6 - t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 9:47 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 570*2\/30?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/17568837 and -35\/17568837?\nAnswer: 17568837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.87274 kilograms in grams?\nAnswer: 25872.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1720 - -350881\/204. Let i = 571\/8364 + g. Let d = -30 + 31. Which is greater: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**5\/5 - 22383*l**4\/5 - 71754*l**3 - 941982*l**2\/5 - 897201*l\/5 - 291603\/5 = 0 for l.\nAnswer: -13, -1, 7477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m**3 + 3*m**2 - 4*m + 2. Calculate y(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1\/4, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (0 + 0)) + 41 + -44\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -720*p - 36 = -725*p - 2*l, p - 8*l + 4 = -7*l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -1\/4 (c) 6541 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -77.2, -12\/7, 4, 2\/9, 27, 0?\nAnswer: -77.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*(a\/(a*a*a*a**(-15)))\/a)*a**(-26)*(a\/(a*(a\/(((a**(4\/5)\/a)\/a)\/a))\/a))\/a**(-11) assuming a is positive.\nAnswer: a**(-146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 s when three letters picked without replacement from {b: 1, s: 1, u: 2, d: 1, y: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + 32*g + 68. Let l be z(-15). Is (11438\/l)\/(-1 - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 - -0.23. Let s = -93 + 92.91. Put d, s, 5 in increasing order.\nAnswer: s, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18833129.1 and 2.\nAnswer: 37666258.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3416474 to 3 decimal places.\nAnswer: 0.342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 2*o**2 + 4*o**2)*(2 - 1 + 7).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from {o: 10, e: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o**(2\/7))\/o*o\/(o\/o**(-17)*o)*o*o)\/(o**(-13\/6)\/o**(1\/6)) assuming o is positive.\nAnswer: o**(-260\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + (3 - (-100)\/(-15)) - (-42551)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + q**2 + 15*q - 31. Let m be b(2). Let f(x) = -9*x**2 - 5*x + 7. Let l(y) = y**2 + y - 1. Calculate m*l(c) - f(c).\nAnswer: 4*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -350656677 - -1465744896831\/4180. Let d = f + 14\/209. What is the common denominator of d and (102\/18)\/(20\/(-9))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 5*y + 2*k, 0 = 4*y - 2*y + 3*k + 37. Suppose 5 = -9*x + 59. Let v be (-2 - 2\/(-6))*x. Which is smaller: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -1\/4*h**4 + 0*h**7 + h**2 - 2\/7*h**8 + 0*h**6 - 32*h - 1\/20*h**5 + 0 + 0*h**3. Find the third derivative of j(t) wrt t.\nAnswer: -1920*t**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 626211649 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36159\/2 - -4231385\/234. Let v = 42\/13 - s. Sort v, -3.2, 2, 0.1 in ascending order.\nAnswer: -3.2, v, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 3*m + 3. What is n(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22316 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -106 (base 16) to base 5\nAnswer: -2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*m**2 + 154*m**2 - 56*m**2 - 52*m**2 + 14*m.\nAnswer: -7*m**2 + 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9442 times -1?\nAnswer: 0.9442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 74\/12 + 3\/(-18). Suppose -11*x = -f*x - 85. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnfn when four letters picked without replacement from hufhttutttunntut.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 4. Let h(d) = -5*d - 4. Let m(j) = 2*j + 1. Let v(x) = 4*h(x) + 11*m(x). Let n(i) = -4*g(i) - 3*v(i). Differentiate n(k) wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 5*n + h - 9 = 0, 3*h + 5 = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2. Let m(b) = 4 - 4 + 5*b. Determine m(j(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -98a37 (base 12) to base 11\nAnswer: -128794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -1 - 43) + (23 - -1) + (-9 - 22)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 2*m. Let o(u) = 4*u**3 - 104*u**2 + 420*u - 648. Let f(h) = -24*c(h) - o(h). Factor f(r).\nAnswer: -4*(r - 9)**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 - -91. Solve 28*b - s*b = 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32250 + -4204. List the prime factors of y.\nAnswer: 2, 37, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*v - 43*v**3 - 49*v**3 + 17*v**3 + 15*v.\nAnswer: -75*v**3 - 54*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 3\/6)\/((-2)\/(-248)). Let u = 257 - b. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3067, -3147, -3223, -3295, -3363?\nAnswer: -3427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 14*q - 47. Let g be f(-5). Let j = -103 - g. What is the tens digit of 14*(12\/j)\/((-28)\/(-49))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 936.0358 litres?\nAnswer: 936035.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.4, 4, 2\/13, -3, 0, 6\/151 in increasing order.\nAnswer: -5, -3, 0, 6\/151, 2\/13, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 + 10343\nAnswer: 10345.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 2:09 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44039, 88367, 133249, 178961, 225779?\nAnswer: 273979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.948\nAnswer: -0.3792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 3. Let y be (-1797)\/(-2396) - (905\/332 - 2). Which is bigger: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3423*c*p**2*v - c*p**2 + 16*c*p - 336*c*v - 2*p**3*v - p wrt p?\nAnswer: 6846*c*v - 2*c - 12*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3567000 by 202.\nAnswer: 1783500\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from hmhmmhhhmhmm?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -176 or 0.01?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**2\/5 - 53*r\/5 - 59592 = 0.\nAnswer: -520, 573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvlzzllzvzllzzzzz. Give prob of picking 3 z.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -6. Solve 0 = 4*g + k - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {j: 3, n: 15}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 332319320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v + 6. Let m be d(1). Which is smaller: m or 62\/15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -907, -876, -847, -820, -795?\n\"Answer: -r**2 + 34*r - 940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 2*p - 4, 111*m = 4*p + 116*m + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*14 - 1 - (9 + -11). Suppose s = -b + 1 - 3, h = -3*s. Is 2 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27.65 and 195390.\nAnswer: 195362.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*x = 24 - 834 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*d + 48, -3*z + d = -17 - 41. Let t be (48\/z)\/((-1)\/(-3)). What is the greatest common factor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n - 145. Let o be p(33). Which is smaller: o or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107648?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 11:47 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.8 (c) -120 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 46*i = -27*i + 203, d + 2*i = -25 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/5)\/(9\/30). Suppose -3*d + 76 = -38. Suppose -154 = -c*a + d. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -94*m - 5. Is k(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156447 times 2\nAnswer: 312894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -2, -2.8, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)\/g**(-1\/2))\/(g**(-1\/2))**(2\/11))\/(g**(-3\/4)\/((g**(4\/9)*g*g)\/g)*g**4*g**(-1\/4)) assuming g is positive.\nAnswer: g**(-1181\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -75*p + 71*p - 60. Let b(f) = f**3 + 2*f**2 - 2*f - 2. Let r(y) = 5*y - 15*y**2 - 6*y**3 + 2 + 13 - y + 11*y. Determine p*b(u) - 2*r(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**2 + g**2 + 2969*g**3 - 2625*g**3 - 3 wrt g.\nAnswer: 2064","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 16*q**2 - 21*q - 40. Let s be p(-18). Suppose 541 = -17*l + s. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 41*u**2 + 185*u - 1810. What is m(-34)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 7*r**5\/20 + r**4\/3 - 2*r**3\/3 - 82*r. Let x(s) = -13*s**3 - 7*s**2 + 7*s. Let p = -3 + -1. Calculate p*x(l) - 7*g(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 2557413.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3457 + 3457. Solve b + 2 = 2*d + 2*t, -d + 3*t + 9 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 21. Let m(z) = -10*z + 333. Give -26*k(t) - 2*m(t).\nAnswer: -6*t - 120","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*n + 1049612 = -119*n + 179*n. Which is greater: n or 4949?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 14, -0.5, 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2309, 9224, 20749, 36884, 57629?\n\"Answer: 2305*c**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8100 plus -57?\nAnswer: 8043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8640)*1 + sqrt(8640) + sqrt(8640) + sqrt(8640) + sqrt(8640))*2 - sqrt(8640))\/((sqrt(192) + sqrt(192) + -4*sqrt(192))*1).\nAnswer: -27*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -31*n**3 + n**2 + n + 4. Let s(j) = -32*j**3 + j**2 + 3. Let v(p) = 2*d(p) - 3*s(p). Let k be v(1). Suppose -4*x = -k - 10. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 132451990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 234401231?\nAnswer: 234401241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13 - 0.53. What is the second smallest value in -2, n, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17318 + -121230\/7. Which is the second biggest value? (a) 2 (b) -4\/25 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43083 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (1 - (-7 + 29)) - 5.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/4)\/(1\/(-12)). Let f = 54 + d. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2332\/371*(-721)\/412?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1. Suppose 4*p + 10 = -18, -5*w - 39 = 2*p. Let c(d) = 2*d**2 - 15*d - 4. Give w*v(n) - c(n).\nAnswer: -2*n**2 + 15*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**3 - 1083*f**2 + f + 12. Let y(h) = -2*h**3 - 1072*h**2 + h + 15. Determine -5*x(d) + 4*y(d).\nAnswer: 7*d**3 + 1127*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -192363405.2 and 0.05.\nAnswer: -192363405.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00042997 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13483097989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04 and 294692.\nAnswer: 294692.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1012\/(-20))\/(252\/(-5)). Let u = -5\/36 - k. Calculate the common denominator of -67\/9 and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 (base 11) in base 3?\nAnswer: 1002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.128 - -0.081. Let g = 0.953 - j. What is the biggest value in g, 10, -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 94.8 and -3.\nAnswer: -284.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*(-1*sqrt(1900) + -4 + -6*(sqrt(1900) + (sqrt(1900) + -1 + sqrt(1900) - sqrt(1900)) + sqrt(1900)) + -5)*-3)**2 + -2.\nAnswer: 88920*sqrt(19) + 55558574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -236, -349, -476, -623, -796, -1001, -1244, -1531?\n\"Answer: -m**3 - m**2 - 103*m - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 8370795?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 3. Let g be j(6). Let h = 2 + g. Let v = h - -1. Solve -32 = 4*b + 5*c, v = -0*b + 5*b - 4*c - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343240837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 586\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 11:47 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1149)\/5362)\/(12\/364).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.81 - -660.92727?\nAnswer: 660.11727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 584 = 5*p + 539, -5*p = -4*s - 55. Let y(q) be the third derivative of -q**4\/8 + q**3 - q**2. Let j(i) = -6*i + 13. Give p*y(d) - 3*j(d).\nAnswer: -3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 15*a**2 - 16*a + 32. Let y be t(16). Suppose 5*p = 10, -3*d + 0*p = -3*p + 102. Let j = y + d. Which is greater: 1\/16 or j?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25012 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2593993566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64.9 - -444.4. Let z = 509.449888 - r. Let h = z - 0.15. What is h rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, m: 4, k: 1, t: 1, a: 3, g: 2}. Give prob of sequence mt.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 - 9 = -4*f, 4*f - 3*p = 19. Let n be f\/(7\/((-126)\/8)). Which is greater: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, g: 14, p: 2, s: 2}. Give prob of sequence gg.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 4248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Let k be 1\/1 + s - 3. Suppose x - 6*x + 50 = k. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -13*g**4\/12 + 6*g**2. Let i(n) be the third derivative of n**4\/4 + 1429*n**2. Calculate q(i(s)).\nAnswer: -156*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -296*x**2 - 12 + 13 - 1 - 450*x**2 in the form m*x + y*x**2 + p and give y.\nAnswer: -746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 1419926692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*2\/4*2. Let c(x) = 18*x**2 - x. What is the tens digit of c(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -29, -47, -59, -59, -41, 1?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -928 by 391.\nAnswer: -928\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**3\/6 - 3*s**2\/2 + s. Let l be d(-3). Suppose l = -0*t - 2*t + 8. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c8 - -c?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -118176, -118177, -118178, -118179, -118180, -118181?\n\"Answer: -d - 118175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-30)*2)\/((-72)\/60)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 19 = 3*g, -4*g + 9 + 31 = f. Let t = 30 - f. Suppose -7*k = -z - 8*k + 133, -2*z + 258 = -t*k. List the prime factors of z.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 226 - -132. Suppose -13 + u = 15*p. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 122 - 171*z - 38 - 40.\nAnswer: -171*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 48.55301s?\nAnswer: 48553010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001000001 - 101?\nAnswer: 11000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 13*o**3 + 6*o**2 + 4. Let a(j) = j**3 - j**2 - 1. Give 6*a(p) + u(p).\nAnswer: 19*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 11*g + 75. Let i(b) = -3*b. Determine f(i(z)).\nAnswer: -33*z + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -438 in -2\/15, 1, 2\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 44352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + y - 78 = 2*i, 2*i - y - 159 = 0. Let a(o) = o**3 + 9*o**2 - 9*o + 10. Let k be a(-10). Suppose k = r - i - 88. List the prime factors of r.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m + m + 0*m - 4403*m**2 - 5*m - 1097*m**2.\nAnswer: -5500*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -3, 10\/21, 72 in decreasing order.\nAnswer: 72, 5, 10\/21, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -10 - 18 - (2 - 4 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iieehiieefeseeiexhif. What is prob of picking 2 f and 1 e?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 465 = 30. Let j = b - 32. Is j < 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxccfxfxxf. Give prob of sequence cxxc.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 2*t**2 + 2*t + 1. Let r be s(-3). Let j = 13 + r. Is (j - -35)*15\/10 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 10. Suppose 0 = -u + 8 - a. Let q(l) = l. What is q(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 251 - 252. Suppose 2*q = 3*q - 4. What is the units digit of -9*(q - (-5)\/d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005507135 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 7. Let q(o) = -o + 14. Let y = 2344 + -2349. Determine y*r(f) + 3*q(f).\nAnswer: 2*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 3378.35.\nAnswer: 16891.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5\/11 + 184*c**4\/11 + 2862*c**3\/11 - 63328*c**2\/11 + 212920*c\/11 - 198432\/11 = 0. Calculate c.\nAnswer: -53, -52, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 33*t**2 + 3*t - 90. What is f(33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, e: 2, g: 2}. What is prob of picking 1 a and 1 e?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**3 + 9*m**2 - 60*m + 645. What is the tens digit of x(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 65851.74mm?\nAnswer: 0.06585174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64231?\nAnswer: 64231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 40204?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**3 + 2*d**2. Let j(n) = 83*n**3 - 158*n**3 + 79*n**3 - 3*n**2. Let r(x) = x**3 - 4*x**2 - 3. Let q be r(4). What is q*y(o) - 2*j(o)?\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.24? (a) 8 (b) 4 (c) -3 (d) -5 (e) 1189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 10. Let m be (20\/30)\/(c\/(-3)). Solve -3*r + 13 = 5*j + 35, -m = -5*j + 3*r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 plus 18.26?\nAnswer: 84.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111000100 (base 2) in base 15?\nAnswer: -8c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 946.6954m?\nAnswer: 946695400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -3\/4, -1, -12\/265, -12, 5.\nAnswer: -12, -1, -3\/4, -12\/265, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101011 - -1100000?\nAnswer: -1010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 1:01 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.584 - 0.5839351. What is z rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 2 (c) -11 (d) 1 (e) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -865\/2 + 407. Find the common denominator of w and 113\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -48*s**5 - 672*s**4 + 3315*s**3 - 2550*s**2 - 207*s + 162 = 0.\nAnswer: -18, -1\/4, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k. Let x(o) = o**2 + 1. Let j(m) = -6*m**2 - 8. Let t(v) = 5*j(v) + 40*x(v). Calculate c(t(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -439083 and -57589093.\nAnswer: -58028176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 40 = 133. Suppose 0 = -2*i - n + t, -3*i = -0*n - 3*n - 42. What is the units digit of (1 - -3)*i\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 5*u - 2. Let v = 6 + -1. Suppose -v*i - 2*m = -4*m - 2, -2*m + 16 = 4*i. What is the lowest common multiple of j(2) and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3*u. Let j be -2 + 3 - 4 - -3. Let a(h) = h**3 + 2*h**2 - 2*h + 1. Let z be a(j). Which is smaller: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 24 - 11*a - 2*a**2 + a**2 - 29. Let s be g(-10). Factor 4*r - 6 + 10*r**2 + r + 5*r**s + 1 - 5*r**4 - 10*r**3.\nAnswer: 5*(r - 1)**3*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + 0*w**3 - w**3 + w**4 - 3*w**4 + w**4 as u + b*w + x*w**4 + h*w**3 + q*w**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/6? (a) -2 (b) -0.1 (c) 8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.56 and 60.161.\nAnswer: 59.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1918859 is divided by 1880?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c - 165. Let y be m(22). Suppose -2*n - 13*o = -y*o - 1668, -n = -o - 844. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-30) + 92\/78 + 2\/13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21110112022021 (base 3) in base 16?\nAnswer: 3c86f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*-580103.\nAnswer: 21463811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1560, -1580, -1600, -1620, -1640, -1660?\nAnswer: -1680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 11343254530?\nAnswer: -11343254530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171)*-1)\/(sqrt(9) + (sqrt(9) - (sqrt(144)\/sqrt(4))\/sqrt(4)) + sqrt(9)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 71630 and -85?\nAnswer: -6088550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + g = -1936, -5*g + 2578 = -4*b - 3*g. Let o = -353 - b. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 8:50 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10768298 times 0.1\nAnswer: 1076829.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 349290 + -224371. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 3, v: 13}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*z - 76, z + y + 7 = -2*y. Let o be (2\/4)\/((-2)\/16). Is (-766)\/z + o\/(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27027 and 715.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*h**3 - 109*h**4 - 259*h**2 - 2*h + 2 + 258*h**2 + 51*h**4 + 60*h**4 in the form q + m*h**2 + z*h**3 + b*h + j*h**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46966.457 less than -92353?\nAnswer: -139319.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-20)*(-24)\/(-558)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)*y**(-6\/11))**39)**44 assuming y is positive.\nAnswer: y**(-2652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-24))\/(63\/27)*(168\/(-4))\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -490*f - 9. Is c(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 35*f**2 - 15*f - 7. Let h be c(-11). Let z = 1342 - h. Let l = -1780 - z. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -1\/4*a**5 - 13\/2*a**2 - 19\/4*a**4 + 63\/4*a - 31\/2*a**3 + 45\/4 = 0?\nAnswer: -15, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 19238.\nAnswer: 3847.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10157 + 1946492.\nAnswer: 1936335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 618579 = 923*u. Suppose 2*c + 442 = 4*w + c, 5*w - 553 = c. Calculate the remainder when u is divided by w.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - (-1 - -5)) + 2. Calculate the least common multiple of n\/(42\/4)*-15 and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155321 or -2640478\/17?\nAnswer: -2640478\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, n: 2, m: 1, h: 4}. Give prob of picking 1 p and 2 n.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*x. Suppose 4*s - 8 - 8 = x. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n - 10. Suppose 2*p - 8 = -3*x - x, -x + 2*p + n = 0. Suppose 0 = -x*t + 4. Solve 0 = -t*w + 5 - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28303 + 4349 = 732*x - 1020 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5064 + -2569. Let f = w + -1607. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d94f (base 16) to base 12.\nAnswer: -2823b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.56 - -0.7. Let t = 48.34 + -47.8. Let n = i - t. Which is the second smallest value? (a) 2\/7 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11679 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0114 and 0.3862.\nAnswer: 0.3748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -11. Suppose 0*q - 14 = 2*q + 3*h, -4*q = -4*h + 8. Let g = -0.4 - -1.4. Which is the closest to g? (a) l (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -4, 2206.\nAnswer: -5, -4, 1, 2206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 4*s - 4 - 8, s = 2*a - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 14*q + 2. Let o be b(14). Suppose -5*c = -4*k + 15 + 13, -o*k + 24 = -5*c. Let p(w) = w**3 + 2*w**2 - 3*w - 1. Let u be p(-2). Sort u, k, 3.\nAnswer: k, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 11:13 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 253, 546, 1013, 1660, 2493, 3518, 4741, 6168?\n\"Answer: z**3 + 81*z**2 + 43*z + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4767.\nAnswer: 3, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -33. Let w be 53 + (v - 8) - 4. Calculate the highest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 101431003?\nAnswer: -101430444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -1\/10*g**4 - 1\/5*g**2 + 4\/15*g**3 + 0*g + 3. Factor b(t).\nAnswer: -2*t*(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(224) + (2*sqrt(224) - sqrt(224)))*5)\/(sqrt(28)\/(sqrt(36) + sqrt(4))))**2.\nAnswer: 640*sqrt(2) + 51204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 35 = 5*m, 5*m + 2*s = m + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -373859223 divided by -59.\nAnswer: 6336597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3157331*m**2 + 94107925*m?\nAnswer: -6314662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2049\/41 - 50. What is the smallest value in a, 0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 50535, 404793, 1366357, 3238881, 6326019?\n\"Answer: 50609*y**3 - y**2 - 2*y - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/15)\/(((-4)\/10)\/(264\/(-12650)))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 760 and 680440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 - 101. Let p be (-1)\/(y\/(-12)*-5). Solve 0 + p*a + 0*a**3 - 2\/5*a**5 - 4\/5*a**4 + 4\/5*a**2 = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -34*x**2 - 7*x - 15. Let c(r) = -67*r**2 - 15*r - 29. Let o(l) = 4*c(l) - 7*u(l). Let b(p) = -6*p**2 - 2*p - 2. Give -33*b(i) + 6*o(i).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 106243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**17)**(-1\/20) assuming z is positive.\nAnswer: z**(-17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1952 and 1696.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -0.14, -10, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 5*a**2 - 4*a - 6. Let m be s(-4). Let d(w) = -w**2 - 7*w - 9. What is d(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6546*l**3 - 4*l**2 + 6*l - 16. Let c be f(4). What is c rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11331 and -9550.\nAnswer: 108211050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5192?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 46*u + 44. Let p(h) = 4*h - 74. Let a be p(24). Let m be v(a). What is the lowest common multiple of m\/(15\/(-5)) - -1 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14231, -28473, -42715, -56957, -71199?\nAnswer: -85441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - w = 11, 4*q - 2*w - 54 = -0. Solve -h - q = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 16. Suppose -5*n = 3*u - 49, u - 2*n - 14 = -2*u. Let d be i(u). Suppose -5*b = -d*b + 9. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 73, -4, -12, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335596 greater than or equal to 1335596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12719 and 302491.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (43\/(-215))\/(3\/(-17)) - 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(22\/4 + -4). Suppose 5*l = -2*b + 60 + 40, 3*l - v*b - 60 = 0. Is l a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(330) + (sqrt(330) - (sqrt(330) - sqrt(330)*-2))))\/(-2*sqrt(864)))\/(sqrt(45)*-2 - -3*sqrt(320)).\nAnswer: -sqrt(11)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1482047?\nAnswer: -4\/1482047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajpdajqqqqj. What is prob of sequence pdjq?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -61*m**9\/56 + 7*m**5\/60 + 2*m**4\/3 + 543*m**2. What is the third derivative of u(l) wrt l?\nAnswer: -65880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -2, 8.\nAnswer: -4, -3, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 333857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280 divided by -1988232.\nAnswer: -35\/248529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 8:27 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t = 68 - 44 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 51*p**2 + 102*p + 80. Give l(53).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*n**3 - 1\/3*n + 0*n**2 + 0*n**4 - 1\/3*n**5 + 0.\nAnswer: -n*(n - 1)**2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14e + -1?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -21.47 times 0.3\nAnswer: -6.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13023203 (base 4) in base 9?\nAnswer: 44308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14165, -14290, -14415, -14540, -14665?\nAnswer: -14790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -44*d**6\/3 + 3*d**2 - 30*d + 10. Find the second derivative of h(s) wrt s.\nAnswer: -1760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 9*p**3 - 2*p**4 - 7*p**3 + p**2 + 0*p - 3 + 4 to x*p**2 + c*p**4 + n + b*p**3 + f*p and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mtmqt. What is prob of sequence mmtq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -49401, -98805, -148221, -197655, -247113?\n\"Answer: -s**3 - 49397*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/15*335 + 4 + (-4)\/(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 24*x - 98. Determine f(10).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g**3 + 160*g**2 + 368*g = 0. What is g?\nAnswer: -2, 0, 46\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2266 - -71571?\nAnswer: 69305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, -1090, 779?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 3*s - 4. Let q be x(5). What is the common denominator of (194\/(-16) + 2)\/(-6) and 63\/99 + q\/4?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53 - 10?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 27\/6)*8. Let v = -7 - d. Suppose 0 = v*s - 6 - 34. Calculate the least common multiple of 10 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**3 + 11*i**3 - 17*i**3 - 14*i**3.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113441 - 3?\nAnswer: 113433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 9498.\nAnswer: 28494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:19 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 63, 104, 149, 198, 251, 308?\n\"Answer: 2*g**2 + 31*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*u + 10, 3*n + 4*u = 5*n + 20. Let r be n\/(-2) - (-3)\/1. What is the derivative of 4 - r - w**2 + 0 wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + 15. Let y = -12 - k. Let s = -38.0045 - y. What is s rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/291 and -133\/71004.\nAnswer: 71004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 50*y**2 - y + y - y - 48*y**2 - y**4 as r*y**3 + q + x*y**2 + s*y**4 + z*y and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -158*i - 64. Let j be t(-6). Let w = -397 + j. List the prime factors of w.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from rrrrrrrmmmmmmmmmrrmm.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 717 - 716.5. What is the closest to 0.2 in 2\/5, -2, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_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: Solve 676*m + 250*m - 16903 + 12692 = 49497 for m.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799505.\nAnswer: 5, 7, 53, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 71526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/7 of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1098726.78 rounded to the nearest ten thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -885*s - 21084. Let u be o(-24). Let m(r) = 19*r**3 + r**2 + r - 1. Let t be m(2). Which is bigger: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 6 - (-4)\/((-4)\/1). Is (2459\/n)\/((-11)\/44) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -644*c + 51*c**4 - 60 + 641*c + 84*c**4 wrt c?\nAnswer: 1620*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 3290 - 900. Let h = -129 - o. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 - 59. Solve -4*i - 24 = w, -w - 19 = y*i + 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42947.0155 - -0.4.\nAnswer: -42946.6155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2297 = 2*v + 2*v, a - 2*v - 2267 = 0. Suppose -l - l + 759 = m, a = 3*m - 4*l. List the prime factors of m.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 2223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1. Let p(s) be the second derivative of -s**3\/6 + 3*s**2 - 3*s. What is 5*n(z) - p(z)?\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -206.5600005206?\nAnswer: 206.9600005206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a hour in minutes?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1550 divided by -25.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - t**2 + t**2)*(-3 + 3 + t) - 49*t**3 - 332*t**3 - 233*t**3 + (-2*t + 3*t + 2*t)*(-2*t**2 + 2*t**2 + 2*t**2).\nAnswer: -607*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/10)\/(-6) - (-136)\/10. What is the highest common divisor of 70 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - -8. Let i be 32830\/90 - 2\/(-9). Suppose 5*j + 3*k = 7*j - 183, 5*k = 4*j - i. What is the remainder when j is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1480 and 592.\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4)*(7*x + 6 - 6).\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d**(-4)\/d)*d))**43*d**(-12)\/d*d**(-3\/4)*d)**(-32\/7) assuming d is positive.\nAnswer: d**(8664\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 + 74. Suppose w + 3*k - 6 = 0, -5*k - 14 = 5*w - 64. Factor n*u**2 - u - 5*u + w*u**2.\nAnswer: 3*u*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 6*d**2 - 23. Let i be l(5). Put 1, 3, i, -22 in decreasing order.\nAnswer: 3, i, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 89 - 89 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20622 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.046 - 22. Let o = 16.4 + -15.9. Put 0.3, y, o, -4 in descending order.\nAnswer: o, 0.3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 13, e: 5}. What is prob of picking 4 e?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + sqrt(175) + 2 + -3 - 2*(sqrt(175) - -2*(sqrt(175) + sqrt(175)*3)))**2 + 4.\nAnswer: -303452 + 1020*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 339*-13 - (4 + -11). Calculate the lowest common multiple of 8\/14 + g\/(-385) and 3294\/15 + (-4)\/(-10).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.5? (a) 0.1 (b) 3\/2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 690836 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39344815 to the power of 1\/2, to the nearest integer?\nAnswer: 6273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7078 times -2?\nAnswer: -7.4156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 9701*j = -9704*j - 10, j = -q + 6. Let m(f) = f**2 + 8. Let n be m(0). Let k = n - 4. What is the smallest common multiple of q and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4912.566 hours in minutes?\nAnswer: 294753.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1116451968?\nAnswer: 2, 3, 2907427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 57620*q**2 - 461200*q - 922560.\nAnswer: 5*(q - 11532)*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 9*w - 12. Let g be y(7). Suppose g*h = -h + 1497. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 5 = 4*g. Let s(o) = 275*o**2 - 99*o - 99. Suppose -3*i + 4*b = 6*b + 297, 0 = b. Let c(p) = -11*p**2 + 4*p + 4. Calculate g*s(j) + i*c(j).\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 16*m - 94. Calculate x(8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -8*l**3 - 79*l**2 + 17*l + 141. What is the remainder when i(-11) is divided by 150?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1980112 divided by 4?\nAnswer: 495028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**4\/6 + c**3\/7 - 7*c. Factor o(h).\nAnswer: 2*h*(7*h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 44589.09 and -88086.\nAnswer: -43496.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8*x**3 + 4*x - 6. Let g(y) = 5*y**3 - 29*y + 7. Let f(b) = -11*b**3 + 50*b - 14. Let v(t) = 3*f(t) + 5*g(t). Calculate 5*i(a) - 4*v(a).\nAnswer: -8*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -72 in 1, -2\/9, -2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j - 7*j. Sort -66, j, -5, -4 in decreasing order.\nAnswer: j, -4, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.113772 and -0.2?\nAnswer: 0.086228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, u: 3, w: 1, k: 4}. Give prob of sequence uk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 21 - 3 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/(266\/(-456)*(-3)\/(-6))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 divided by 9?\nAnswer: 170\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, t: 4, x: 1, m: 9, n: 1}. What is prob of picking 2 m and 2 t?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 c when three letters picked without replacement from rrrvcrrrccvvr?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*n - 1, 5*g - 80 = -0*g - 5*n. Let x = g + -4. Let j(h) = -1600001*h + 7. Let t be j(x). Round t to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 12. Let u(r) = -45*r - 210 + 197 + 46*r. What is 3*b(m) + 2*u(m)?\nAnswer: -m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*s*u**3 - 6867*s*u - 1001*u**3 - 3*u**2 + 6 wrt s.\nAnswer: -13*u**3 - 6867*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-20))\/(27\/(-15)*2).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*w**2 - 2*w + 97*w**2 + 2*w.\nAnswer: 34*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2 - 3*n - 2. Let j be x(-1). Let t(r) = r**3 - r**2 - 1. Let o(k) = 6*k**3 - 7*k**2 - 7. What is j*o(v) + 14*t(v)?\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 139930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a + 3 - 2\/3*a**3 + 0*a**2. What is the derivative of r(n) wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64543*u + 64752*u - 6688 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -51264664260 + -0.14168\nAnswer: -51264664260.14168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5. Let b be (-2)\/4*(-13 + 3). Solve -3*o + 4*o + 25 = -b*y, r = 3*o - 4*y - 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 0.3 (c) 2 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**6\/30 - 3*q**5\/25 - q**4\/10 - 465. Factor m(b).\nAnswer: -b**3*(b + 1)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/315)\/((-2)\/(-1))*2\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4950566583.\nAnswer: 3, 17, 1181, 82193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -275.25124 - 7\nAnswer: -282.25124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*q - 3*q + 439 = -822 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -3 + -2 + -2 - -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6478 - 362787\/56. Let v = 183\/56 + b. What is the common denominator of 41\/14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/15)\/(2\/(-25)). Suppose 21 = 5*q - 4*s, -q + 6 = 5*s - 4. Suppose -3*y + 19 = 2*c, -2*y + q + 1 = -2*c. Solve -2*l = -0*l, -y*p + z = -4*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 767116 and 10.\nAnswer: 3835580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -92*q + 93*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/44275568 and -2\/9.\nAnswer: 398480112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0 - 9. Let s be i\/(-18) + (-25)\/(-6). Let o = s - -10. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*i + 19*i - 7*i**3 + (-i + 2*i - 2*i)*(i**2 - 2*i**2 + 2*i**2) - 2*i**2 + 2*i**2 + 2*i**3 + i**3 - 2 + 2.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -38. Suppose -g - 5*r - 201 = -4*g, w*r - 242 = -4*g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201 divided by 3.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2275 = 9*l + 56*l - 0*l. Calculate the remainder when 154 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**4 + 376609*l**3 + 2409694*l wrt l?\nAnswer: 24*l**2 + 2259654*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14048 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: b\"What is the ith term of 419, -724, -1857, -2974, -4069, -5136?\n\"Answer: i**3 - i**2 - 1147*i + 1566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-70)\/(-21)*(-3)\/(-2). Suppose -1 = -4*o - 5*f + 63, -b*o - 5*f = -85. Calculate the remainder when o is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3546 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 4*s - 167 = 0, 6*s - 91 - 194 = 4*r - 37 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1530 divided by 132?\nAnswer: -255\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 863506 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*1\/(-4)*0. Let o = 5 - f. Suppose 2*w - 5*m + 6 = 0, o*m = 2*w - 6*w + 18. Is 3 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13356076 - 0?\nAnswer: 13356076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**2\/5 - 35954*z\/5 - 17976\/5 = 0.\nAnswer: -8988, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21709 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 105, -44, 0, 4, -5 in descending order.\nAnswer: 105, 4, 0, -3, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 24 = l, -28*l + 5*m + 21 = -27*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x - 10. Let p(c) = -4*c + 11. Determine -2*f(g) - 3*p(g).\nAnswer: 2*g - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-8))\/(1\/4). Let a be 7\/v - (-2 + 1). Suppose 3*n = 7 + 5. What is the smallest value in a, 1\/2, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 + 5*q - 9. Let u(j) = -4*j**2 + 7*j - 13. Let k(s) = -7*d(s) + 5*u(s). Determine k(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*n + 38. Suppose -t - 6 = -5*p + 27, -4*p + 2*t = -30. Let l be 21\/(3 + (4 - p)). Is l at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -203 + -80. Put 1, 4, s in descending order.\nAnswer: 4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2))**(-35))**(-4\/3) assuming f is positive.\nAnswer: f**(-280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 100368923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1346 + -888. Let s = i + -452. Which is the third biggest value? (a) s (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11829969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6*k = -2*k - 115, -2*k = 3*u + 91. Calculate the least common multiple of (u\/(-6))\/(2\/4) and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m. Let z(q) = 4*q + 4. Let i(x) = -18*x - 24. Let p(o) = 2*i(o) + 12*z(o). What is p(a(d))?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 11. Let w = 68\/11 - k. Solve -6\/11*z + w*z**3 - 4\/11 + 0*z**2 = 0 for z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*t**2 - 290*t - 4078 + 115*t + 157*t wrt t.\nAnswer: 4*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 5. Let h be v(-3). Suppose -4*c + 520 = 4*l, c + 0*l = -h*l + 128. Suppose 36 = -u + 4*u. What is the greatest common factor of c and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 e when four letters picked without replacement from {x: 15, e: 4}?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*t + 2566670000 = 182*t. What is t rounded to the nearest 1000000?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*p**5 - 19*p**5 + 6*p**5)*(-12 + 2 - 4)*(2 - 4 + 4).\nAnswer: 1260*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 66?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 5*s**2 + 2*s + 3. Let j be a(4). Let b(f) = -9*f - 7. Let l(i) = 6*i - 2*i - 9*i + 1 - 5. What is j*l(g) + 3*b(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g + 2. Let y be c(-5). Let j be 24\/(-11) - (-4)\/y. Let x be 2 - 2 - (0 + j). Solve 0 = x*m + 2*m + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + l + l)*(-6 + 3 - 2 - 2*l).\nAnswer: -8*l**2 - 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 76*j - 20. Let b(h) = -12*h + 6. Let f(v) = 7*v - 3. Let d(l) = -2*b(l) - 5*f(l). Determine -20*d(z) - 3*g(z).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l + 22. Let v(x) = -4*x + 2*x + 91 - 84. Determine -10*v(d) + 3*z(d).\nAnswer: 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -2 + 20935\/6497. Let v = m - 21\/89. Let n = -13354 - -13354. Is v bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507662 is divided by 54?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xflmfmmyymxyfxxxfv. Give prob of sequence llv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 20 = 50. What is the common denominator of ((-44)\/(-16))\/(n\/(-8)) and -31\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 4*v + 7 = 33, -4*f = -2*v - 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*v + 1 = 35*v + 42*v + d, -6*v + 32*v = 4*d - 118 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 534*h**5 - 2*h**4 + 67*h**2 + 4943*h - 102 wrt h?\nAnswer: 10680*h**3 - 24*h**2 + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-8)*(-4)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:21 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 15. Let t(f) = -f**3 - 6*f**2 + 5*f - 4. Let b be t(-7). Let p be n(b). Solve 0*j + 5 = p*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 579*b**2*c*s + 3398*b**2 + 59*b*c*s - 2*b*c + 10 with respect to s.\nAnswer: 579*b**2*c + 59*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4713.462 + 4766.3. Let t = b + -55.9393. Let g = -3.1 - t. Round g to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 788*l = 783*l + 31, 5*k - 3*l - 15 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/10 and 16\/55761.\nAnswer: 557610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3\/3 + 350*m**2 - 2412*m - 8288\/3 = 0. What is m?\nAnswer: -1, 8, 518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.092 + -0.1277. What is y rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 + 2 - 2 + (10 - 6*t**2 - 10)*(11 - 10*t - 11).\nAnswer: 61*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - k**3 - 3*k + 31 + 31*k**4 - k**3 + 0*k. Let y(g) = -g**4 + g**3 + g. Let f(i) = l(i) + 3*y(i). What is the first derivative of f(s) wrt s?\nAnswer: 112*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 13781684*g**2 - 11870905194688*g + 35612839619328.\nAnswer: -4*(g - 3)*(g + 1722712)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {w: 4, h: 2, g: 5}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24.4 and -168?\nAnswer: 4099.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36383.7 nanoseconds in seconds?\nAnswer: 0.0000363837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 260\/700 - (-8)\/(-14). Let u = 132 + -130. Which is the closest to -1? (a) 4 (b) u (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -605*o + 17146. What is r(26)?\nAnswer: 1416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 8:00 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n**3 - 205*n**2 + 230*n = 0 for n.\nAnswer: -46\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fj when two letters picked without replacement from fjbtfjfffdffj?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 16 = q, 0 = -0*q - 2*q + 5*l + 29. Suppose -13*a = -q*a - 2. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, f: 1, x: 1, c: 2, e: 1}. What is prob of sequence fx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 312043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 + 12529*x\/3 + 25054\/3.\nAnswer: (x + 2)*(x + 12527)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27571*n**4 + 4*n**2 + 32*n + 20?\nAnswer: 661704*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.025\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 3*g**2 - g - 1. Let y be m(3). Let z = -4 + 4. Let a = -550 - -554. What is the nearest to y in -2, z, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 380368 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -575*b**2*l**3 + 94*b**2*l + 32*b**2 + 3453*b*l**2 + 140*b wrt l?\nAnswer: -3450*b**2*l + 6906*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005705 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1081515 to three decimal places.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32106922 != 32106922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-40)*(-16170)\/(-392).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25904 and -6?\nAnswer: 155424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 1, b: 7}. Give prob of picking 2 b.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 1)*(-344 + 344 - 322*c) to s*c + n and give s.\nAnswer: 1288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (77 - 23 + 2315*k - 26 - 28)*(-2*k - 2 + 2) to o + p*k + t*k**2 and give t.\nAnswer: -4630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxxmmxxxhxmxm. Give prob of sequence mmmx.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1238.41494ms to days.\nAnswer: 0.00001433350625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 10:01 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -264 - -265.67. Let k = y - -0.33. What is the closest to -6 in 1\/2, -3\/8, k?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2378697 micrometers to millimeters.\nAnswer: 0.0002378697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -577*o**3 + 182*o**3 - 119 - 7 wrt o.\nAnswer: -1185*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 245*148\/29008*4\/(-170)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*k**2*o**3 + 105*k**2*o + 2*k*o**3 - 14*k*o + 2*k wrt k.\nAnswer: 12*o**3 + 210*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1839 - -2509. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 18*x**2 - 289 + 34*x + 6*x**2 - 25*x**2 = 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 23. Suppose 16*x - 18*x = 22. Let g = p + x. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from {i: 1, d: 6, f: 2, x: 9}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20510692 and 52.\nAnswer: 266638996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36.4 + -36.1. What is the closest to 0.2 in 2\/7, y, -4, -2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30811*f**2*g**2*j**2 - 2*f*g**2 - 2*f*g - 3*g**2 + 19*g*j - 16*j**2 wrt f?\nAnswer: 61622*g**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -138 + 4797\/26 - (-18)\/4.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -16*p + 100. Let y(o) = 8*o - 53. Let f(d) = -4*t(d) - 7*y(d). Determine f(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/22872 and 23\/68616.\nAnswer: 68616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*15\/210?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -270, 0, -1058, 8, -3 in increasing order.\nAnswer: -1058, -270, -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen quarters of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 3*o**2\/2 + 10*o + 91. Suppose -2*r - 4*y - 10 = 0, -4*r = -7*r + 2*y + 25. What is the units digit of w(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1267, -1265, -1263, -1261, -1259?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -273 + 277. Suppose 3*h = y + 2. Solve h*c - 4*g = 12, 0*c + c + 18 = -4*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 o when three letters picked without replacement from {o: 2, r: 1, e: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3658 and 4189.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 2:39 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a**4)**40\/(((a\/a**(-2\/3)*a)\/a)\/a**(-4)*((a\/a**(-2\/3))\/a)**33) assuming a is positive.\nAnswer: a**(517\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 6:54 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110885*p**4 - p**3 + 1202*p**2 + 99661306*p?\nAnswer: -1330620*p**2 - 6*p + 2404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-60))\/(123\/(-205))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.62 + 2.94. Let h = -20 + x. What is h rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260724 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -156, -178, -216, -276, -364, -486, -648, -856?\n\"Answer: -v**3 - 2*v**2 - 9*v - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512) - sqrt(512)*-3) + (sqrt(242) + sqrt(242)*-2 + (sqrt(32) - (sqrt(64)\/sqrt(2) - sqrt(32) - sqrt(32)) - sqrt(32)))**2.\nAnswer: 64*sqrt(2) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3416770*j + 3. Let l be i(-10). Suppose -4*a = 2632297 + l. Round a to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -1 (b) -0.3 (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2 + 126. Suppose 5*t - 7*t = -q. Suppose b - t = -5*c, -3*c = 4*b - 14 + 1. Solve -2*x - 2 = -c*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**4\/2 + 114348*r**3 - 4357802079*r**2\/2 - 13082097729*r + 87183489660 = 0 for r.\nAnswer: -10, 4, 38119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -136345970 and -2.\nAnswer: -136345972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 24. Suppose v*j + 2 = -2*g - 8, -2*j = g + 5. Let m be 0 + 4 - 2\/2. Sort m, -1, j in descending order.\nAnswer: m, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -976a?\nAnswer: -9767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4343*n - 50*n + 3479*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 4 - 4)*(-18*n + 141*n - 4 + 85*n) as b*n**2 + c*n + q and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 8*o + 17. Let a be n(-4). Let b = -51 - a. Let p be b - (1 - 3) - 9\/(-6). What is the fourth biggest value in 0.1, 1\/5, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(11) - sqrt(99)) + sqrt(22)\/(sqrt(4)\/sqrt(2)) - (1 + (sqrt(11) + (sqrt(396) + 2 - sqrt(11)))**2).\nAnswer: -401 - 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3472 by -4.\nAnswer: -868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 + -1 + 1 + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d. Let o(z) = -2*z + 11558. Determine o(s(l)).\nAnswer: -2*l + 11558","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(19) - (sqrt(19) + 1))**2 - (sqrt(152)*2 - sqrt(152))\/sqrt(8))*-1 + (-2 + sqrt(304)*5 + -1)**2.\nAnswer: -119*sqrt(19) + 7608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4697 and 42578?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/9 (b) -1.8 (c) -3\/4 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-22)*2 + (-11)\/2541*(-6111)\/(-162).\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-25\/4)*w*w**(-4\/17))\/(w\/(w*((w**(-3\/11)\/w)\/w)\/w)*w**(-31)))**5 assuming w is positive.\nAnswer: w**(83185\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9697360 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u - 8*u - 3 + 4 + u. Let f(h) = -2*h**2. Determine p(f(z)).\nAnswer: 10*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, 40, 101, 206, 367, 596?\n\"Answer: 2*j**3 + 4*j**2 + 3*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1329552 is divided by 664685?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**15)\/(i\/(i\/i**6)*i))\/(i**(-2\/9))**(6\/11) assuming i is positive.\nAnswer: i**(301\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*b**3*d*y + 3722*b**2*d**2*y + 286*d**2 - d*y + 34*y wrt b.\nAnswer: 12*b**2*d*y + 7444*b*d**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**5 + 12*v**5 - 4*v**5)*(5 - 6 + 0).\nAnswer: -8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 6 - 4 - (7 - 11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 87, 125, 163, 201, 239?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98051*t**5 + 2*t**4*y**3 - 3*t*y + 22*t + y**3 + y**2 wrt t?\nAnswer: -1961020*t**3 + 24*t**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3 + 8*h + h - 5. Let m = 6 - -1. Let q(d) = m - 5*d + 0*d - 3*d. Give 6*l(v) + 7*q(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14530 is divided by 441.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/224)\/(24\/(-192))*2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9878, -19783, -29700, -39635, -49594, -59583, -69608, -79675?\nAnswer: -89790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9485? (a) 1.1 (b) 4\/13 (c) -3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 0*u + 0 - 1\/4*u**5 - 50*u**2 - 11\/2*u**4 - 35*u**3 = 0.\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 + 3*q**2 + q**2 - q**2 + 4 - 2*q to the form o + h*q**2 + c*q and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 65?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102302?\nAnswer: 2, 51151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2102d (base 15) to base 7.\nAnswer: 614104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -145.1 to zero dps.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 3*a + 50, 0 = 13*v + 4*a - 34 - 101 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 1:10 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, c: 8, t: 2, w: 4}. What is prob of picking 3 c and 1 w?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 36dd0?\nAnswer: -36dc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 20. Suppose -3*i + 5*i + 5*h = -20, -3*i = -2*h - 8. Let a be 4*(i\/3 + 1). Solve -a*n = -5*g + 3 + x, 2*n + 9 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15305\/21 + 731. Let i = n - 13\/7. Which is the closest to i? (a) 0 (b) 1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 - 90 = -4*m - 4*q, 5*m - 46 = -18*q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddsos. What is prob of sequence ss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 2. Let x be 1 - (-2 - -1 - -1). Let z(d) = -d. Let c(s) = x*g(s) - 3*z(s). Differentiate c(m) with respect to m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-6)\/(-1))\/(16\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/5)*g*g**(1\/2))\/(g**(-1))**(2\/19)*(g**(2\/7))**41*(g*g**(2\/7))\/(g\/((g\/(g*(g**2\/g)\/g))\/g)) assuming g is positive.\nAnswer: g**(2433\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -6. Let d(k) = 0 + 4*k + m + 18*k + 3. Let c(a) = -11*a - 3. Let s(y) = -5*c(y) - 2*d(y). Find the first derivative of s(t) wrt t.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/12 - -2)*16\/128. Put -5, b, -0.4, 0.173, -1 in decreasing order.\nAnswer: b, 0.173, -0.4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 9*a = 4*m + 8, -m = -a + 3. Solve 3*d = a*d - 6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 25 = -10*p. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-4*sqrt(154)\/sqrt(7)*6)\/((sqrt(99) + -1*sqrt(99))*3 - sqrt(99)*1*1))**2.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 393 + -396. Let t be 34\/72 - (-4)\/(-18). Which is the fourth biggest value? (a) o (b) 5 (c) 1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + 2 + 0*d**3 + 12 + 6*d**3 - 4*d**3 in the form t*d**3 + r*d**2 + f + k*d and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -85*y. Let i(j) = 5*j. Calculate -70*i(m) - 4*r(m).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8256, -16669, -24994, -33231, -41380, -49441?\nAnswer: -57414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 512859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 5*a + 14. Calculate the remainder when 76 is divided by i(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, s: 9}. What is prob of sequence ysy?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 2\/854065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 2:20 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fitctizzwfftzwf. What is prob of picking 2 z and 1 i?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33426834\/13 or -2571294?\nAnswer: -2571294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(7\/8))*s)**(-28)*((s\/s**(5\/11))\/s)**(5\/6) assuming s is positive.\nAnswer: s**(-128\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 24. Let c be j(15). Let g be c\/4 + (-324)\/8. Let m = 83 + g. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-6 + 0) - 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 13662?\nAnswer: 13662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 2*m - 4*m - 143, 5*m + 101 = 3*y. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56345078*t**3 - 17*t + 56346?\nAnswer: -338070468*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -12 and -150\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s**3 + 4*s**2 - 32*s - 4*s**3 + 28*s + 3. Let l(t) = t**3 + t**2 - t + 1. Give d(j) - 3*l(j).\nAnswer: 2*j**3 + j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 26*u**2 + 117*u - 232. Give y(21).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1529 - 3185.\nAnswer: -4714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -259*o**2 - o + o**2 + 2*o**2 + 5 + 4 - 8 as x + v*o + b*o**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 - 32*x\/5 - 264\/5.\nAnswer: 2*(x - 22)*(x + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f**2 - 3*f + 14. Calculate v(3).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*p - 117 + 216 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-56)\/(-24))\/((-2)\/78)*-8. Suppose -633 = -5*t - 3*f + 1187, 2*t + 3*f = s. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8392781 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: Let u = -4.87 - 0.13. Which is the biggest value? (a) 0.03 (b) u (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*h - 0*h. What is the second derivative of -3*a - 3*a**4 - 4*a**2 + h*a**2 wrt a?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 + 54 - 31 - 23.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05114 from -5.2.\nAnswer: -5.14886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -53 + 19 + 27 - 89.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 12:29 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28b054 - 8?\nAnswer: 28b04a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5892\/44681*14\/(-2).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.12 + 25.2.\nAnswer: 23.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 416.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*b + 8*b - 63, a - 18 = -b. Calculate the highest common factor of b and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/4 (b) -2\/11 (c) -3 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/964?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*j**4*o**3 - 103*j*o**3 - 2*j + 7460*o**3 with respect to j.\nAnswer: 20*j**3*o**3 - 103*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 769*n**2 + 792*n**2 - 1558*n**2 - 6*n + 153*n**3 in the form q*n + r + t*n**2 + y*n**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n + 12 - 15*n - 32. Let b(a) = -2*a**2 - a. Let i be b(2). What are the prime factors of s(i)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from baetttatwwtaawtaewhe. Give prob of sequence hwt.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -2*u**5\/45 - 7*u**4\/18 + 2*u**3\/9 + 55*u**2\/9 - 100*u\/9 + 311. Determine w so that z(w) = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53854 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2616, -5154, -7688, -10218?\nAnswer: -12744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*s**2 - 3920 + 200*s**2 + 3920 - 53*s**2.\nAnswer: 253*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 2\/23081391, -4, -1, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108449512 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8550, 15695, 22840, 29985, 37130, 44275?\nAnswer: 51420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 709.1 + -636. Let f = d + -68. Let n = f - 9.1. Sort 0, n, 6, 1\/2 in decreasing order.\nAnswer: 6, 1\/2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1846 is divided by 60?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 10) to base 7.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 5, -1\/5, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - x. Let s(l) = 6*l**2 - 38*l + 2. Calculate j(o) - s(o).\nAnswer: -5*o**2 + 37*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 209 - (12\/(-9))\/(1\/(-3)). Suppose 206*f - k*f = 3. Calculate the lowest common multiple of f and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 11. Let k = -8 + o. Suppose -k*p + 2*i + 157 = 0, -3 = -i - 2*i. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480 divided by 6334.\nAnswer: -240\/3167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6*p - 5. Let g = p + 2. Calculate the least common multiple of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - -6. Let c = -32 + u. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -113 + 93. Let f = 47 + z. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 150054*a**2*w + a**2 + 453694*a - 4 with respect to w.\nAnswer: 150054*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*k = 70, -7*b + 3*b = 3*k - 28. Let n = -209 + 214. Solve h + n*w = 2, 5*h - 4*w + b = -9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1 - (-51)\/(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 622, 1236, 1850?\n\"Answer: 614*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -148 in -3, 5.3707, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((-10 - -19) + -11) - -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 14*p**3 - 4*p**2 - 4. Let a(y) = -195*y**3 + 55*y**2 + 55. Give -4*a(q) - 55*j(q).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 64.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*r = -0*r + 32, -4*i = 5*r - 67. Let b be (0 - 0)\/(26\/i). Which is smaller: b or -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2. Let c = 197\/3 - 65. Let v(b) be the first derivative of 0*b**2 - 2 + c*b**3 + 0*b. What is v(t(u))?\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 5*d**3 - 23*d**3 + (-3 - 2*d + 3)*(d**2 - 3*d**2 + 0*d**2) - 2*d**2 - 2*d**3 + 2*d**2 + 1 - d**3 - 1)*(5 + 2 - 4).\nAnswer: -57*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7741 (b) -2\/9 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/4 - 407*q**2\/4 + 41575*q\/4 - 121089\/4 = 0. What is q?\nAnswer: 3, 181, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273, -320, -367, -414?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 123464 - 4?\nAnswer: 123460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 699382 and 482.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0215859 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 46 = 2*o, 0*a - a = -3*o - 69. What is the units digit of o\/(1012\/(-6504)) + (-4)\/(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -24*a**2 - 1\/9*a**4 - 8\/3*a**3 + 0 + 6*a. Factor j(b).\nAnswer: -4*(b + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a5860 - -5?\nAnswer: 1a5865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*q + 4. Suppose q*t + 25 = 0, -2*m - t = t + 2. Suppose 3*v = -3*d + 24, 5*d - 33 = -m*v + 4. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**3\/8 + 11763*n**2\/8 + 4846173*n\/4 - 2428965 = 0. Calculate n.\nAnswer: -701, 2, 4620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5\/7 - 206*l**4\/7 - 30*l**3 + 206*l**2\/7 + 208*l\/7 = 0.\nAnswer: -1, 0, 1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y + 3. Suppose 4 = -4*w + 5*w. Suppose 20 = l + w*l. Let j(t) = -3*t + t**2 - 2*t - l + t. Calculate -3*j(n) - 4*q(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393529 is divided by 642.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28339*g - 772393?\nAnswer: -28339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + (-28 - (-44 + 50)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 5*g + 393, 3*k + 622 = -0*k - g. Let n = 486 + k. Let x = n + -150. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 682 and 526752.\nAnswer: 5794272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 885735\/8*f**4 - 9\/14*f**7 - 75*f**2 + 243\/4*f**6 - 4782969\/2*f**3 + 0*f - 6561\/2*f**5 + 0 + 1\/336*f**8. Factor r(i).\nAnswer: (i - 27)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (46 - (1 - -36)) + 0 + -13\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1633)\/(-230) - 7)\/((-252)\/210).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71888*s**4 + 3*s**2 + 1318*s - 15?\nAnswer: -1725312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2 + 2*i - 1. Let m(q) = 13*q - 25. Let b be m(2). Let x be 1\/(-1) + 3 - b. What is a(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + t + 400, 26 = 5*j + t - 967. Suppose -6*s + j = 61. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**2 - 7*l - 17. What is f(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2946338 divided by -386\nAnswer: 7633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34203 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*g - 81*g + 45*g + 264 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -926818.91 - 0.3\nAnswer: -926819.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-1) + -4 + 2 + -3. Put 10, 3, 2, o in decreasing order.\nAnswer: 10, 3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fnfffnnnnfnnn?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*h - 2*n + 2, 2*h - n + 2 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 54. Let f = -8 - w. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1038154\/727 - 1428. Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 - 79. What is the remainder when l is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2\/2 - 2344285*n + 1099134432245\/2 = 0.\nAnswer: 468857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 277 = -112. Let f(w) = 2*w**3 - 17*w**2 + 20*w + 5. Let k(h) = -h**3 + 9*h**2 - 10*h - 3. Let q(z) = -3*f(z) - 7*k(z). What is q(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*d)*(0*d + 5*d - 3*d) + 3*d**2 + 3*d**2 - 5*d**2 + 2*d**2 - 4*d**2 + 0*d**2 - d**2 + 2 - 2 + (6*d + d - 3*d)*(23 - 5*d - 23).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (5 - (-10 + 17))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30843936 divided by -144?\nAnswer: -214194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u**2 - u - 83. What is g(-10)?\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1436312 (base 8) to base 11.\nAnswer: -25a137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1015 = 304*q - 449*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2316\/1544)\/(30\/(-22))*(-25)\/15?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - 4*(-699)\/132.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + -3*(2 + sqrt(1872)) + -2 + sqrt(1872) + 4)**2*6*-4.\nAnswer: -45312 - 2304*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8198 - 43838 = -373*f - 4082*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7079*x**2 - 307*x - 20036710 wrt x.\nAnswer: -14158*x - 307","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6308696925 to the power of 1\/3, to the nearest integer?\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 45 = -0*g. Suppose -b - 2*f = g + 1, -82 = 4*b - f. Let c be -3 - -2*(-26)\/b. Which is smaller: -0.3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.34453 rounded to one dp?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r**(1\/4)\/r)*r)**(3\/19))**(-2\/123) assuming r is positive.\nAnswer: r**(-1\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1983?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -2*q**3\/21 - 2*q**2\/7 + 12. Determine b, given that m(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(3 - (5 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 0 + 10*s**2 - 1\/60*s**5 + 5\/6*s**3 + 0*s + 0*s**4 + 1\/45*s**6. Let c(o) be the first derivative of a(o). Factor c(n).\nAnswer: 2*n*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**5\/5 + 61*v**4\/4 - 356*v**3 + 2072*v**2 - 3136*v + 290. Factor p(w).\nAnswer: -(w - 28)**2*(w - 4)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -727.82 and 267.\nAnswer: -194327.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 19 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 4:18 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26810766*y**3 + 4149445*y.\nAnswer: -160864596*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 9*f**2 - f - 8. Let y be l(-9). Suppose -y = 3*r + 2. Which is greater: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114537593?\nAnswer: 83, 433, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 311 + -307. Let g(d) = -d**2 - 4*d - 3. Let z(u) = u**2 + u + 1. Let n(c) = -g(c) - 2*z(c). What is n(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 103\/2*f**2 - 28*f + 0 + 1\/3*f**3 - 11\/12*f**4. Find the first derivative of s(h) wrt h.\nAnswer: -22*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2.04. Let g be (-88)\/(-308)*28\/8. Which is the second smallest value? (a) g (b) u (c) -4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*k**3*v*y - 1014254*k**3*v - 10*k**2*v*y**2 + 13*y**2 wrt y.\nAnswer: 10*k**3*v - 20*k**2*v*y + 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 429*v + 215*v - 28 - 2*v**3 + 214*v.\nAnswer: -2*v**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 10*m**2 - 9*m + 9. What is c(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**3 + 9*z**3 - 14*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 596 - 466. Calculate the highest common divisor of 100 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 + 368*k + 2839. Calculate t(-176).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/4 in 2, 1\/9, 8, -1, -47?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - 5*a**2 + 2*a**2)*(14 - 5 - 8 - 4*a + (6*a - 2*a - 2*a)*(0 - 1 - 1) + a - 4*a + a + 2 - 2 + 2*a).\nAnswer: -8*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -281*g**5\/20 - 2029*g**3\/6 + 1766*g**2. Differentiate m(w) with respect to w.\nAnswer: -1686*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (134 - 58) + (0 - 1)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 214 + -39?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 11:38 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83.3 + 83.2621. Let j = 0.0977 + f. What is j rounded to three dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 8:49 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -197*y**5\/5 - 5*y**2\/2 - 40*y + 655. Find the second derivative of j(k) wrt k.\nAnswer: -2364*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15722 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17023\/22044 + 1\/2004. Let v = 1\/2 - p. What is the nearest to 1 in v, -0.4, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450969 is divided by 3524?\nAnswer: 3421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 16. What is the smallest value in s, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 15 = -5. Let u(g) = g**3 + 7*g**2 + 3*g + 10. Let v be u(-5). Let b = 50 - v. What is the greatest common divisor of b and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l. Let u(a) = 15*a + 5. Let t(w) = 8*w + 3. Let s(m) = 5*t(m) - 3*u(m). Give s(b(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - a - 2 = 0, 0*a = 3*m + 4*a + 1. What is the second smallest value in 5, m, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + sqrt(304) - (-2 + sqrt(304))**2).\nAnswer: -309 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 55, 98, 141, 184, 227, 270?\n\"Answer: 43*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*o + 95*o = -3*d + 8, -o + 32 = 3*d. Solve 2*j + 5*b - 8 = 7*b, 2*b = 5*j - d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693455947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 163 = -5*k - 20, 4*k - 33 = -l. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5*(-14)\/(-35) - -9) + 1246 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2490 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027708 rounded to three dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 208 = -2*v. Calculate the greatest common divisor of 26 and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, g: 5, m: 3, e: 1}. Give prob of sequence gss.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o + 5616 = -10959. What is the greatest common divisor of 51 and o?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 - 6*g**3 - 2*g**3)*(3 + 1 + 1)*(1 - 12 - 3 - 3 + 0 + 4 + 2 - 5 + 4 + (-1 + 1 - 2)*(-3 + 4 - 2)).\nAnswer: 250*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1713 in -0.4, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -15*q**2 + 588 + 3*q**2 - 591. Let a(n) = -2. Let p(f) = f + 1. Let j(w) = -a(w) - 2*p(w). Calculate v(j(z)).\nAnswer: -48*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, j: 1, b: 3, p: 1}. What is prob of picking 1 b, 1 p, and 1 c?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1774483 and 73710.27.\nAnswer: 73710.4474483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2395 is divided by 2363.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11200 divided by -2800?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 9. Let z = -62 + 36. Let f be (10\/(-3))\/(z\/39). Suppose -f*g + 6 = -4*m - 0, 3*m - g = -10. Determine r(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 56 + 27 + 29. Let i(j) = -8*j. Determine -i(b) - 5*r(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 12\/5*h**2 - 14\/5*h + 2\/5 = 0.\nAnswer: 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e (base 16) to base 9.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 1488411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 - (14 - 7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a - 9. Let b(f) = -12*f**3 - f - 1. Let o be b(-1). Let q be k(o). Calculate the remainder when 6\/(-2)*2130\/q is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 25 = 5*q, 0 = -2*w - 2*w - 4*q + 20. Suppose -l = r - 3*l - 26, -5*r + 3*l + 102 = w. Does 12 divide -14*r\/(-21)*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(3\/7)\/l*l)*l*l**20*l)\/((l**(-2\/19)\/l*l)\/l)**(-20) assuming l is positive.\nAnswer: l**(62\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (88\/(11088\/(-2226)))\/(((-4)\/(-10))\/((-12)\/(-10)))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1876*v**5 - 3 - 726*v**5 - 36466*v**2 + 1323*v + 36467*v**2 wrt v.\nAnswer: -52040*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + l - 14197 - 9643, -3*m + 3*l = -35778. Let s = -2773 + m. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 4:34 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-24 + 0 - -14)*3\/(-30)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2863 + 2463.3. What is q rounded to the nearest 10?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -352, -542, -560, -406, -80?\n\"Answer: 86*w**2 - 448*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4920169137 to the power of 1\/4, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02561727 rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*j = -7*q + 32, q = -4*j + 5. Is (17\/3)\/(2\/1242*q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(10\/11)*w*w*w**(-1\/3) assuming w is positive.\nAnswer: w**(118\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69910083*p**5 - 4*p + 816724?\nAnswer: -1398201660*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3626 - 2514. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-8\/9)*c*(c**(-3\/5)\/c)\/c assuming c is positive.\nAnswer: c**(-112\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*w. Suppose -2*c + w = -8. Solve 0 = -c*y - 2*g - 18, -3*y + g = 2*y + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -575?\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vac when three letters picked without replacement from bbbbacbvb.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 6:49 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19d7505b + 2?\nAnswer: 19d7505d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, h: 1, v: 1, t: 5, u: 3, x: 1}. Give prob of sequence xktt.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23912 is divided by 56?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 2616?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 7*j - 12. Let u be f(-9). Calculate the greatest common factor of u and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9*(-13)\/195)\/(36\/(-10) + 2). What is the third smallest value in -1, 13\/6, o, -15?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**5 - 12*b**4 + 15*b**3 - 6*b**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*o + 44*o - 39 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -b + 5*b. Let k be 250\/4*(-15039 + b). What is k rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {u: 4, e: 5, t: 1, f: 3, v: 5}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 5*z - 5, 15*z - 19*z + 30 = -2*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43927\/4 + -11053. Let n = s + 72. Let d = 29 + -27. Which is smaller: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 6 - 18, 4*g - 2*a = 26. Let h(u) = u**3 + 27*u**2 - 60*u - 52. Let f be h(-29). Sort -2, g, 2, f in descending order.\nAnswer: f, g, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*h - n + 2, 5*h + 10 = 4*n. Solve i = -0 - h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93*x**4 - 211*x**3 + 54*x - 224378950 wrt x.\nAnswer: -372*x**3 - 633*x**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -5, -15, -29, -47, -69?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**4 + 258*c - 2*c**3 + c**3 - 257*c - 3*c**3 in the form u*c + y + f*c**3 + i*c**4 + p*c**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*f = -6160, 2*f = 168 - 166. Which is smaller: u or 3079?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -23. Let c be 710\/25 + 1 + x\/(-10). What is the third derivative of -4*f**2 + c*f**4 - 28*f**4 + 2 - 2 wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1181\/6 + -196. Sort -5, -0.1, l.\nAnswer: -5, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12302913?\nAnswer: 3, 7, 585853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2)*(-33)\/(-55)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 + 111 + -26 + -77?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/5 + 67739008*p**2\/5 - 1147143368945021*p\/5 + 2294286466934018\/5.\nAnswer: -(p - 33869503)**2*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnynnnnnnnynnnnnnn. Give prob of sequence yn.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Suppose -c*q - 5*v + 91 = 0, -5*q + 2*v + 29 + 71 = 0. What is the smallest common multiple of 4 and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(357)*-2 - sqrt(357)) + sqrt(357))*-1)\/(sqrt(7)*-1*5))\/(-3*(-2*sqrt(75) + sqrt(75)) - (-4*sqrt(75)*1 + sqrt(75))))**2.\nAnswer: 17\/5625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225 by 25396.\nAnswer: -225\/25396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r + 0*r - 4*r)*(-2*r - 2 + 2)*(8650 + 6316 + 9364 - 7643) to a*r**2 + w*r + p and give a.\nAnswer: 33374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o + 11437 = 11086 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + o + o - 20, -4*j - o = 8. Let z(q) = 2*q**3 + 6*q**2 - q + 1. Let k be z(j). Is 8 a factor of 228 + (2 - -1) + k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4259376, -8518752, -12778128?\nAnswer: -17037504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzpzpzzzzpzpz. What is prob of sequence zzpz?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 31, 61, 103, 157, 223?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(432))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30*35\/(-9450)*3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 3*c = -10*u + 12, -2*u - 2*c + 12 = 0. What is the closest to -2 in -0.2, 14, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -4. Suppose -l - 1 = -n. Let p = 4 - n. Is -4 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 130\/(-4)*(-8)\/(-10). Let p = 32 + g. Let y(c) = c**2 + 2*c + 21. Calculate the remainder when y(0) is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1859413 divided by -1\nAnswer: 1859413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (-5 + 21)) + (-2992)\/(-204).\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-3))\/f**(-1\/5)*(f*(f**0*f)\/f)**(-19) assuming f is positive.\nAnswer: f**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 3*i + 0*i)*(-83*i + 508 - 508)*(-3*i**2 + 4*i**2 + 0*i**2).\nAnswer: 249*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 0*g**4 + 5*g**2 + 0 + 10\/3*g**3 + 0*g - 1\/12*g**5. Factor z(h).\nAnswer: -5*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 15. Let v = 6.2 + g. Let r = 1.8 + -2. What is the closest to r in 5, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 5*c + 9*c)*(c**2 - c**2 - c**4) + (-2*c - c + c)*(2*c**4 - 4*c + 4*c).\nAnswer: -7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-5 + 1)\/4. Sort 40, 3, -1, g in descending order.\nAnswer: 40, 3, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 894*k**2 - 1778*k**2 - 2*k + 9 + 883*k**2 - 5. Suppose 0*m + 6 = 2*m. Calculate j(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -19*k**3 + k**2. Let d be y(-1). Calculate the remainder when (72\/10)\/(3\/d) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.4743 and -175476.\nAnswer: -175470.5257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 426729 and 618?\nAnswer: 853458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15012307613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11448434 to the nearest integer?\nAnswer: 3384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12015? (a) -3 (b) 2\/3 (c) 3 (d) 0.2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5771*n + 147497 = -2319*n - 52719 for n.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20945 - 20949. Which is the fourth smallest value? (a) 1 (b) i (c) 0 (d) -1\/42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 9:23 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 11441102?\nAnswer: -11441112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.8 + 3. Let g be ((-6)\/8)\/(12 - 855\/72). What is the biggest value in 0.5, -5, t, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 2*f + 1. Let l be (28\/(-14))\/((-4)\/(4 - 2)). Let t be q(l). Factor 4\/5 + t*a - 4\/5*a**2.\nAnswer: -4*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/11*102\/(-918).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 + 2*j**2 - 1. Suppose 0 = -4*l + 4*g + 44, -299*l + 2*g - 18 = -301*l. Let n(x) = -3*x**3 + 5*x**2 - 3. What is l*c(q) - 4*n(q)?\nAnswer: -8*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*y**5 - 794*y**4 + 80*y**3 - 8970684*y**2?\nAnswer: -480*y**2 - 19056*y + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**4\/5 - 34516*i**3\/5 - 379902*i**2\/5 - 276344*i\/5 + 138152 = 0.\nAnswer: -10, -2, 1, 17269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, x: 1, v: 4}. What is prob of sequence vpp?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1887, -3464, -5041, -6618, -8195, -9772?\nAnswer: -11349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -254*f - 3068 + 31516. What is the least common multiple of 630 and f?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266020623 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 484019407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.28 + -0.08. Which is the third biggest value? (a) -3\/7 (b) s (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 107, 161?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 265232251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*i - 1 - 59 = 0, 0 = -o + 4*i + 3. Let q = 51 - o. Suppose 0*z + 2 = z, t + 2*z - q = 0. What is the remainder when t is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*l + 159 = -0*s, -s + 33 = 3*l. Let k = s + -38. Solve -k*q + q + 12 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18527\/1122 - 7\/561. Determine h so that 21\/2*h**2 + 15\/2 - t*h - 3\/2*h**3 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1084155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -49724 (base 11) to base 5\nAnswer: -4241131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 11. Let u = 7 - b. What is the smallest common multiple of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + y + y - 8, -29 = -2*w - 5*y. Put 0, 22, w in ascending order.\nAnswer: 0, w, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/120*(-9)\/(-2)*(192\/72 + -3)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -6*2)*1. Let d be 2\/a + (-9)\/(-5). Solve -4*m - d*b - 16 = 0, -m - 5*b - 12 = 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3\/3 - 1550*s**2\/3 + 41845*s\/3 + 43400\/3.\nAnswer: 5*(s - 280)*(s - 31)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11277 and 29724471?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/23))\/((x*x**6)\/x*x)*(x**(-4\/7)\/x*x)\/(x**(-3)\/x*x*x)*(x**(2\/9))**(-15\/8)\/(x**1\/x)**(-29\/2) assuming x is positive.\nAnswer: x**(-9469\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2\/712531 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5675364 to two dps.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 779.4601 millennia?\nAnswer: 77946.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r - 135 = 3*i, 3*r = -4*i - 180. Let u be 4\/(-5) - 576\/i. What is the highest common divisor of 48 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -5*g**2\/2 + 15*g + 396. Determine p(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-108)\/30)\/(-2)*(-10)\/(-6). Let r = 1 + -3. Suppose -10 = -2*a + 5*z, z = -2*a + 5*z + 6. Sort r, m, a.\nAnswer: a, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4930\/(-374) - (7 - 20)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/10 + (-1235932)\/26185.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -2*l + 5*l - 4*y, -2*l - 2*y - 142 = 0. Let j be (l\/(-48))\/((-3)\/(-2)). Let b be j*(-30 + (-1)\/(-4 - -3)). Which is smaller: b or -28?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (4 - -3) - -60697215. Suppose 5*k = -j - 47302781. Round k to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -850 divided by 5?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 3:29 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.05, 0.4, -7, 1753.\nAnswer: -7, -2, 0.05, 0.4, 1753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 85 in -0.3, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422259207.\nAnswer: 3, 37, 3804137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (1 + 1 + 1). Suppose w - 10 = -f*w. What is the units digit of 5\/w + 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1215)\/210 + 6 + (-28048)\/(-672)*-3 + 8.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/(1\/9). Suppose 2*a = -z*a. Suppose -x - 3*h + 32 = a, x - 54 = -2*x + 5*h. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*t = -24*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -478864 <= -478863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q - 2*q)*(-4 + 1 - 1)*(-4*q**4 + 2*q**4 + 5*q**4).\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**5\/70 - 5*d**4\/21 - d**3 + 16*d - 3. Solve r(v) = 0 for v.\nAnswer: -7, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 3:08 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11982 + 12002. Solve 5*k - 4*p = -45, -5*k + 89*p = 90*p + c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -121, -143, -217, -349, -545, -811, -1153?\n\"Answer: -w**3 - 20*w**2 + 45*w - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -287 - -357.4. Let h = 70.7 - a. Put -3, 0.1, 3, h in descending order.\nAnswer: 3, h, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12754\/3 - -4250. Let k = -2 + 3. Which is the closest to -1? (a) f (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4))**(11\/4)*(g*g*g**(-2\/7))**(-13) assuming g is positive.\nAnswer: g**(-233\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 70*c - 698. Give x(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -120 (b) -218 (c) -1\/7 (d) -1\/4 (e) -5\/3 (f) -8 (g) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129680?\nAnswer: 2, 5, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 h when three letters picked without replacement from {h: 4, n: 1, g: 1, z: 5}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -246*z + 16933. Give u(71).\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-a + 0*a + 0*a)*(-3 + 1 + 1) + 25*a + 63*a - 6*a)*(2*a - 2*a + a) + 2*a + 32*a**2 - a - 26*a**2 in the form f + h*a + r*a**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkkdksdks. What is prob of picking 2 s?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2026 - 4?\nAnswer: -2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -224 - -219.55. Let z = 4.3 + t. Let d = z + 0.150006. Round d to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**2 + 23*l + 614. Let b(o) = o**3 - 22*o**2 + 114*o + 3070. Let j(s) = -2*b(s) + 11*f(s). Find the first derivative of j(i) wrt i.\nAnswer: -6*i**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 258*c - 120*c - 111*c in the form u*c + j and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -2*d**5\/5 + d**4\/12 + 82*d. Let f(q) = 7*q**3 - q**2. What is 5*f(l) + 4*r(l)?\nAnswer: 3*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 414 - 196 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z**3 + 2*z + 6. Suppose -6*v + 6 = -4*v, v = -5*u - 7. What is the units digit of h(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13761\/17 greater than 809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26646 + 26651. Calculate the remainder when 4352 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54302392 < 54302384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 11*i - 201. What is the remainder when 98 is divided by v(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**3 + 5*w**2 - 5*w. Let j(h) = -3*h**3 - 5*h**2 + 6*h. Calculate 6*a(f) + 5*j(f).\nAnswer: 3*f**3 + 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 3234\/1783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -16\/5 (c) 60 (d) 6 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-25)*(-4)\/12\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 8 = 4. What is n in 6 - 12*n - j*n**3 - n**4 - 10 - 13*n**2 - 4*n**3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 - 3*z**3 + 0*z**3 - 2617*z**2 + 23*z + 8 + 2595*z**2. Calculate the remainder when 44 is divided by x(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {r: 3, w: 2, l: 1, s: 4, t: 4, x: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23399209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 102202332 (base 5) to base 14\nAnswer: b220b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3485 and 3625.\nAnswer: -12633125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 26*a**2 + 23*a - 49. Calculate the remainder when 187 is divided by p(-27).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 2*g. Suppose 0 = 4*i - 5*y + 7, 15 = y + 4*y. Let p(r) = 3*r - 1. Determine i*p(a) - 3*k(a).\nAnswer: 3*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -154 * -0.0728\nAnswer: 11.2112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/9))**(-2\/63))**(8\/3)\/((((f\/f**2)\/f)\/f)**(-30)\/((f\/f**0)\/f)**(10\/13)) assuming f is positive.\nAnswer: f**(-21886\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 2*x - 10. Let i be d(3). Let s(t) be the first derivative of 1\/5*t**5 + 3\/2*t**4 - 6 + 3*t**3 + 0*t**i + 0*t. Factor s(k).\nAnswer: k**2*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1742 (base 8) to base 13\nAnswer: 5b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -9, 2\/7, 0.2 in decreasing order.\nAnswer: 4\/7, 2\/7, 0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*-5*sqrt(88)\/sqrt(2))**2*-6.\nAnswer: -237600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 0*z - 3 - 2\/3*z**3 - z**2 - 1\/4*z**4. Calculate s(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 355434203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 41*x - 42*x. What is the remainder when (39\/(-6) + 2)\/(4\/(-40)) is divided by ((-32)\/x)\/(40\/60)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10189237.\nAnswer: 29, 43, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**5\/10 + 4*p**3\/3 + 2*p. Find the second derivative of d(q) wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2269, 9024, 20209, 35764, 55629, 79744, 108049, 140484?\n\"Answer: -10*q**3 + 2275*q**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(363))*-5)**2 - sqrt(363).\nAnswer: -11*sqrt(3) + 9075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -8 (b) 0.5 (c) 0.0248 (d) 3 (e) -0.017\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 342 + -342. Solve -2\/9*n**3 - 2\/9*n**2 + u*n + 0 + 2\/9*n**4 + 2\/9*n**5 = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011101000111 (base 2) to base 7.\nAnswer: 140040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9904?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + x + 14*x)*(-3*x**2 - 2*x + 2*x + x).\nAnswer: -33*x**3 + 11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -5 = -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8760 - -166?\nAnswer: -85a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53 - 6) + (-56 - -84).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1545 rounded to the nearest ten?\nAnswer: -1550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.00781cm in millimeters?\nAnswer: 920.0781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.099616*1.4.\nAnswer: 19.7394624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -24. Sort 0.4, 2\/3, r, -2\/21 in descending order.\nAnswer: 2\/3, 0.4, -2\/21, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 196 - 196.2. Let s be (18 + 0)\/(1 - 3). Let k(i) = i + 7. Let y be k(s). What is the nearest to y in 0.2, g, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 602 = 3*p, p + 4*d = 4*p - 607. Calculate the highest common factor of 19 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, -17, -256, -715, -1466, -2581, -4132?\nAnswer: -6191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -0.3, -0.035231 in decreasing order.\nAnswer: -0.035231, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/531 and 99\/10?\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*j + 11*j + 581 - 1747 + 579 + 585 + 6*j.\nAnswer: 270*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2251 - 2251. What is the nearest to 23 in y, -5, 1\/4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 129, -6.\nAnswer: -6, 6, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 23 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l. Let a(i) = 16*i. What is a(m(f))?\nAnswer: 96*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d + 6416 = 51*d. What are the prime factors of d?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2273, 2296, 2331, 2378, 2437, 2508, 2591?\n\"Answer: 6*a**2 + 5*a + 2262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1.7503 (c) 4 (d) -1\/5 (e) 0.3 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-24)\/(m**(1\/2)\/(m\/((((m\/m**(-1\/6))\/m)\/m)\/m)))*(m**(1\/4))**41\/(m**(-2)*(m\/(m\/(m**(4\/5)*m)))\/m) assuming m is positive.\nAnswer: m**(827\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 28 = -2*i, 0 = -2*i - 3*t + 4*t + 13. Let q = 22 + -10. Solve -a = -i*a + q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-623)\/(-52) + (-15)\/65 - 12. Which is the nearest to -0.079? (a) 1 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 1957, -0.0671, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 2*p**6\/5 + p**5 - 40*p**4\/3 - 200*p**3\/3 - 96*p**2 - 26*p - 2. Suppose l(v) = 0. Calculate v.\nAnswer: -3, -2, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 2*o**2 + o - 4. Let y be m(-4). Suppose -4*c - y = -0*c. Let r be c\/18 - 13\/(-3). Solve -4*v - 2 = -z - 9, -3*z - 5 = r*v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/12 + (9 - 29)\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37028?\nAnswer: 2, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 23?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007168 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.08 (b) 2\/23 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192255469?\nAnswer: 7, 61, 131, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 9, 0.2, 1, 52?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tddtdestetdstet.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 15*b**2 + 2. Let j be y(15). Suppose -j*a = 3*a + 2950. What is a rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -44. Let z = h + 28. Sort 2, 10, -2, z in decreasing order.\nAnswer: 10, z, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 0*j + 1\/6*j**3 + 0 - 6*j**2 - 1\/12*j**4. Calculate p(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**8*z*z)))\/z**(-2))**(-4\/7)\/((z**(-2\/5)\/(z*z\/(z\/(z\/(z*z**(-1))*z))*z*z))\/(z**(-2\/5))**(-14\/11)) assuming z is positive.\nAnswer: z**(-73\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 2 (c) 1\/3 (d) 3\/14 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 417695.6691 rounded to the nearest one thousand?\nAnswer: 418000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**2 + 326*g**3 + 17*g + 314*g**3 - 771*g**3 wrt g?\nAnswer: -786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 424344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 96681755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*u + 709*u + 512*u in the form f + y*u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 = f. Suppose y = -3*p + f*p, -p - 6 = -4*y. What is the third derivative of 19*t**y - 31*t + 31*t + 12*t**5 - 6*t**2 wrt t?\nAnswer: 720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 0.3, -0.1, 20 in increasing order.\nAnswer: -1\/9, -0.1, 0.3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22110 bigger than 22107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 782668 to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = 2*v. Let k(p) = -14*p - 202. Let r be k(-14). Let m be 18\/r + (-7)\/(-2). Which is the closest to -0.1? (a) -53 (b) m (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 4*l - 8, -d - l + 2 = 2*l. Let b(f) = f**3 + 3*f**2 - 6*f - 4. Calculate the least common multiple of 8 and b(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42714.\nAnswer: 2, 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1556761159 is divided by 13838?\nAnswer: 13835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3562185691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*j - f + 5568, -2*j + 11136 = -2*f. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5735, -181, -1\/3?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1586655.049 to the nearest 1000.\nAnswer: 1587000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39417 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*11\/(33\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5 + 3*s + 1 + 4. Let i(u) be the first derivative of 0*u**2 + 1\/3*u**3 + 6 + 0*u. What is i(b(a))?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 6*g + 1806202*g**2 - g + 4*g - 1806206*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11099 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656338 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**2 + 3*b**2 - b - 3*b wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -7. Solve i + d + 4 = 0, 0*d - 15 = -5*i + m*d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*j = 259*j + 12, -4*q = -2*j + 56 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v = -17*v - 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + (-1 - (3 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 51*q**2 - 51*q + 64. Let s be w(50). Suppose 0*z = 3*z - 3. Let n = s - z. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 272675 (base 10) to base 2\nAnswer: 1000010100100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 59 = -22. Let r = -9 + q. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p - 1. Let y be i(6). Let w(s) = s - 1. Let a(l) = 2*l - 24. Let o(t) = a(t) - 3*w(t). Give o(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**7\/5040 + c**6\/30 - c**5\/30 - 17*c**3\/6 + 80*c**2. Let s(t) be the third derivative of g(t). Determine s(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -9. Let u be -10*(-2 + c\/(-5)). Factor 2 + 2*k - u*k - 3 + k**2 - 2*k**2.\nAnswer: -(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**7\/105 + 7*b**6\/60 - 3*b**5\/10 - 7*b**4\/12 + 10*b**3\/3 - 48*b**2. Find c, given that y(c) = 0.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3619*b**2 + 3*b. Let m(z) = -1630*z. Determine m(i(j)).\nAnswer: -5898970*j**2 - 4890*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + -3 + 6 + 10 + -12?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293218970 a multiple of 939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*z - 1184 - 7491 = 3029. Calculate the highest common divisor of z and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1030.97 + 0.0218111487.\nAnswer: -1030.9481888513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -1291331632.92591.\nAnswer: -1291331629.92591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8021.\nAnswer: 13, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 5*t - 4*l, 5*t - 2*l - 12 = 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(162)\/sqrt(3))\/((sqrt(12) - sqrt(48)*-4)\/sqrt(4)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**3 - 30*l**2 + 27*l - 118. Let r be u(10). What is the highest common factor of 584 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**3 + d**3 + 3*d**3)*(2 + 2 - 3)*(-83 + 21 - 4)*(4 + 0 - 3) in the form c*d**2 + s*d**3 + z + y*d and give s.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5060725645 to the nearest integer?\nAnswer: 1717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434289902?\nAnswer: 2, 217144951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2. Let p(t) = 2*t**2 - 460. Calculate j(p(r)).\nAnswer: -8*r**4 + 3680*r**2 - 423200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 3. Let g(f) be the first derivative of -f**3\/3 - 2*f**2 - 2*f - 97. Give g(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by 1665312\nAnswer: 17\/416328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**7\/6300 - n**6\/900 - n**5\/100 - 5*n**4\/12 - 4*n. Let w(m) be the third derivative of u(m). Factor w(a).\nAnswer: 2*(a - 3)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**17)\/(m\/m**(1\/3)) assuming m is positive.\nAnswer: m**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 235 = -4*t. Let a(q) = 0 + 4 + 7*q - 10*q. Calculate the remainder when t is divided by a(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/159 and -143\/30?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 19. Let d be (4 - (-196)\/(-12)) + (-1)\/(-3). Sort 5, d, h.\nAnswer: d, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*i + 23*i = 258, -5*s + 8*s - 30 = 3*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*t + y + 244 = 0, 4*t + 5*y - 319 = 0. Calculate the remainder when t is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 4*q**2 + 2*q + 6. Let b be t(-4). Let a(o) = o**2 + 2*o + 1. Give a(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9, 9, 63, 171, 351, 621, 999?\n\"Answer: 3*t**3 - 3*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 10. Let u be p(3). Let q = u - 53\/4. Let r = 0.05 - 7.05. Which is the second biggest value? (a) r (b) 0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -146 greater than or equal to -9106\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 - 24880.4.\nAnswer: -24811.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 19*f - 17. What are the prime factors of p(7)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 - 10*i - i + 76 - 3 + 103 + 0*i**3.\nAnswer: 2*i**3 - 11*i + 176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - 44*a**3 + 4*a**2 + 21*a**3 - 2*a**2 to n*a**3 + m*a**2 + v + c*a and give n.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323*t + 5*m = -326*t + 5894, -5*m + 9820 = 5*t. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45198)\/(-432))\/(-93)*32\/(-138)\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 163053060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 35*u**5\/6 + 197*u**3\/3 + 471*u**2. Find the first derivative of y(m) wrt m.\nAnswer: 700*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 - 35*r**2 + 54 - r - 188 + 53 + 8*r**4 + 56 + 23 to the form v + c*r**2 + a*r**4 + n*r + w*r**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -17)*19\/38. What is the nearest to 1\/2 in 0, y, -4\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2442034 + 34?\nAnswer: 2442123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 4*p + 2. Let g be z(-4). Suppose 3*k - 3*u - 15 = 0, 0*k - 2*k - 3*u = 10. Solve -9 = -g*v - k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000151619 to 6 decimal places.\nAnswer: 0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + 15*j + 4. Let a be r(-10). Suppose -3*x - 99 = 5*v - 384, 5*x = 25. Calculate the greatest common divisor of v and a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/498 and 95\/62.\nAnswer: 15438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 194*p**2 - 5 - 10 - 180*p**2 + 8*p - 24*p. Let i be r(-15). Solve 31 = -4*w - 5*j + 1, -2*w + 2*j - 6 = i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89 + 95. Let d be 1\/(y - (-69)\/(-12)). Solve 0 = 4*n + 5*m - 6, 0*m + 2*m = -2*n + d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(-14)*16\/6. Let t be 2 + -3 + g + 1. Let m = -2 - 0. Which is the second biggest value? (a) 2 (b) t (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/6*(7 + (-3989)\/569*1). Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11141*t**2 + 21696*t**2 - 8438*t**2.\nAnswer: 24399*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 42 + -1473?\nAnswer: -1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.58 + -0.08. Let r = y + -0.3. Let i be -2 - -3 - (-2)\/(-6). Which is the smallest value? (a) i (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 14*r**2 + 6*r - 65. Let b be t(12). Sort b, -10, -1 in ascending order.\nAnswer: b, -10, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 + 46998*z + 187959. Calculate d(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 252 + -250. Suppose r*o = 18*o - 48. Solve -4 = o*h + 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -1629, 4, -3 in decreasing order.\nAnswer: 4, -2, -3, -5, -1629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -171040001 to the nearest 1000000.\nAnswer: -171000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgggfkftkff. Give prob of sequence ft.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 39 (b) 0 (c) -4 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a day in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**3 - 355*f**2 + 41578*f + 7454728 = 0.\nAnswer: -412, -109, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -8*c + 71. Let j be x(-11). Let s = -163 + j. Let m(d) = -d**3 - 2*d**2 + 4*d + 4. Give m(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -404.15 + 404.149978798. What is r rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 166.1 + -166. Let a be ((-6)\/15)\/(1\/5). What is the nearest to a in 0.5, v, 2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32940623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/((sqrt(24) + (sqrt(24)*-3 - sqrt(24)))\/sqrt(12)))\/(sqrt(512) - (sqrt(512)*1*-1 - sqrt(512))) + -3.\nAnswer: -3 - sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 606 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/5 + 24*u**3\/5 + 22*u**2\/5 - 120*u - 360 = 0. Calculate u.\nAnswer: -6, -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t - 30*t = 4*o + 20902, 4*t = 3*o + 41784. Is 59 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) + 11\/(-3). Let x = 9 + c. Let i(v) = -41*v**3 - 2*v**2 - v. Let k be i(-1). What is the highest common divisor of k and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -442 - -435. Does 22 divide (-420)\/(-15)*(-66)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 - 6*a + 3. Let c be n(2). Is c smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23458354?\nAnswer: 2, 11729177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03 + 0.07. Let d = 0 - c. What is the biggest value in -5, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - (17 + -53) - -61) + (4 - (2 - 1))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 14. Let q be v(17). Suppose 0 = 4*n - 3*n - i + 2, q*n + 2*i + 26 = 0. Let k be (-15)\/20*(-4)\/n. Sort k, 0.5, -0.4 in increasing order.\nAnswer: k, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 1321084*w**2 + 109087519980*w - 1417914505332.\nAnswer: 4*(w - 165129)**2*(w - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 5. Let u be q(8). Suppose 6*a + 12 = 2*a. Let d = a + 1. Sort d, -4, u in descending order.\nAnswer: d, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1 + 2 + 4*c - 2. Let f(s) = 2*s + 0*s + s. Let u(v) = -3*f(v) + 2*r(v). What is the derivative of u(l) wrt l?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**10\/2520 - m**6\/180 + m**3 - 2. Let k(r) be the third derivative of z(r). Find the third derivative of k(h) wrt h.\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 7*c + 5)*(-4*c + 3*c - 3*c)*(-c - c + 3*c + (-5*c + 2*c + 4*c)*(47 - 295 - 84)*(-4 + 0 + 5)).\nAnswer: 9268*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 22*v + 43. Let z be n(18). Put 5, z, 3 in descending order.\nAnswer: 5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 954824 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*3*6\/18. What is the second derivative of -h**2 + 12*h + 12*h**w + 10*h**2 + 0*h**2 wrt h?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 217.\nAnswer: -4\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (6 - 33) - (0 + -22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*n, -3*s + 7*n = 10*n + n. Suppose -3*l - 1 = 2. What is the nearest to 3 in l, 1\/6, s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107 * -1573\nAnswer: 168311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqjq. What is prob of sequence qj?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -95*d + 664. Give s(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-30)\/(-5))\/(-1) - -2284.\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.897767 rounded to one dp?\nAnswer: 239.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.33 or -66659?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + -1 - (-1563783)\/38112?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -86892\/257, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 6*x + 48 = 0. Let f(t) = 5 + 0*t**3 + t**3 + 1 + x*t**2. Is f(-6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112128 and 23871.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x*x**(1\/7)*x)\/x*x*x*x**(-4)\/x)\/((x\/x**(2\/9))\/(x\/x**(2\/15))) assuming x is positive.\nAnswer: x**(73\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 206567500 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-2 - (0 + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*v + 33, -5*v = -0*j + 2*j - 96. Let g be (-4)\/20 + (v\/15 - 1). Suppose 3*s + 2 + 7 = 0. Sort -5, g, s.\nAnswer: -5, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37166634 at least 37166630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8143 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44465102.\nAnswer: 2, 11, 47, 43003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -12*u**2. Let m(f) = -603*f. Give m(x(t)).\nAnswer: 7236*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(3) + 1))**2 + sqrt(15)\/sqrt(5) + 0.\nAnswer: 9*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1563 + -7.1563. What is the third smallest value in -20\/7, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*r + 9, 860*p + 4*r = 865*p - 39. Let i = -3.1 - -1.1. Let f = -0.7 + -0.3. What is the second smallest value in -4, p, f, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -0.8. Let f = -0.01 + -0.2. Let c = f - -0.01. Put p, c, -3 in decreasing order.\nAnswer: c, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03814938 and 0.2.\nAnswer: 0.007629876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from {g: 5, h: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -d - 4*k - 95, -4*d + 3*k - 399 = 0. Let m = d + 123. What is the smallest common multiple of m and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, -4, -1\/9, -1\/285 in decreasing order.\nAnswer: 0.7, -1\/285, -1\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/15? (a) -4 (b) -6 (c) -2\/5 (d) -1.1 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 336559347 to the power of 1\/4, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 88 = 3*u + 4*i, -36 = -u + i. Suppose 11*l - 5*m = 13*l - u, -2*m = -5*l + 22. Let p(a) = -14*a. Let b(j) = -13*j. Determine l*b(d) - 5*p(d).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3 - 3 + 3 + 4*b - 3*b. Let o be q(-5). What is the units digit of o + (-1 - -2) - -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720230 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1923 + -1923.801. Let a = q - -0.5915. Let l = -0.21 - a. Round l to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 402\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 27 - 5 = 0. Suppose 5*s = 2*m + 14, -4*m = -s - s - n. Let h(t) = -t - 4. Let j(x) = 3. Let z(a) = m*j(a) + 2*h(a). Give z(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - 5*f + 2. Suppose -4*a - 7 = 1, a = 5*r - 22. Suppose r*k - 27 = 3*s, 5*s + 9 = -k - 13. Determine l(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*y**4 - 23*y - 2030.\nAnswer: 148*y**3 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.25405 and 2.3?\nAnswer: -0.584315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**8\/336 + o**7\/120 - o**6\/240 - o**5\/240 - 7*o**2. What is n in y(n) = 0?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022 is divided by 510.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*p - 4, p - 2*j = j + 5. Suppose 0 = d + 2*d - 18. Let c be -9 + d\/(-2) - p. Sort c, 1, 5 in descending order.\nAnswer: 5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.52 * -0.1\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10290\/28)\/7*6*(-10)\/75?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2022.92049 - -0.12049. Round b to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13588632*c**5 - 1334463*c + 3.\nAnswer: -271772640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1596135194873\/10494 - 152099790. Let x = 2\/477 - s. Calculate the common denominator of 89\/4 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134166314?\nAnswer: 2, 23, 419, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2 = -22. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27\/5 - (-4 - 176\/(-48)). Which is smaller: 6 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40140 divided by 45\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4*44\/(-22))\/(14\/(-280))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2 - 2*g + 9*g**2 - 3*g**2 + 5*g - 5*g**2. What is the tens digit of a(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -2 + 0 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -4*x + 4, 2*a - 278 = x - 0*a - 289 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 u when three letters picked without replacement from {u: 9, e: 3}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -392 - -410 - (2 - -25).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 16 = 3*o, -5*x + 0*x - 4*o + 61 = 0. Solve 2*k = 5*w + x, -3*w - 15 = -6*k + 3*k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/30 and 51\/50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -19 (b) -2\/9 (c) -3 (d) -13379 (e) -5 (f) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 36*s - 182. Let k be w(41). Solve 0 = -k*q - 115 - 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**4\/12 + 31*d**3\/6 - 6*d**2 + d + 9. What are the prime factors of g(14)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 1)*(26 - 26 - 22*l) - 3*l - 2 + 2 + (3*l - 3*l - l)*(2 - 3 + 2) + 2*l - 2*l + 2*l in the form b + q*l and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25871 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 1. Suppose q - 24 = -4*y - 3*q, 0 = 2*y + 3*q - 15. Calculate u(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - y + 1. Let j be m(1). Suppose t - 4 = -h + j, -h + 11 = 3*t. Suppose -h*z = -1 - 5. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1913 - 818543?\nAnswer: -820456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8561 is divided by 35.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u. Let x(f) = -24*f + 20. Let q(g) = g - 1. Let i(d) = -120*q(d) - 6*x(d). Give i(t(r)).\nAnswer: 48*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2342 (base 12) to base 2.\nAnswer: -111101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -12. Suppose -30 = 2*s - p*s. Suppose 8 = z - s. Solve 4*k - c - z = 0, k = 3*c - c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8868 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9 - 3*d**3 + 5 + 2 + 2 + 7*d**2 wrt d?\nAnswer: -9*d**2 + 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-1 + 0)) + 25. Let f(d) = -2*d**2 - 22*d + 58. Let a be f(3). Is (-594)\/a + 4\/c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4144 and 32?\nAnswer: 8288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 4670?\nAnswer: -4666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k = -16 - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*g**2 + 9931*g**3 + 62206*g**3 - 46*g**2 + 90*g**2.\nAnswer: 72137*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 8. Let l be (11 + -12)*1*r. What is l rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*p - 8. Suppose 2*h - w = w - p, 5*h + 9 = w. Which is smaller: h or -0.12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 8:44 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**5\/60 + 5*c**4\/24 + 4*c**3\/3 - c**2 + 2*c. Let f(z) be the first derivative of q(z). What is the units digit of f(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6855*m + 0 + 0 + 8414*m - 2780*m to the form l + p*m and give p.\nAnswer: 12489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 12 = 0, m - 3*z + 312 = 6*m. Let f be m - (1 - 0\/1). Suppose f - 14 = 3*k. Solve -k + 3 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.61942186 to 4 dps.\nAnswer: -0.6194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 8822*x**4 + 17648*x**3 - 26458*x**2 - 12*x = 0.\nAnswer: -3, -2\/4411, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -371, -326, -293, -278, -287, -326?\n\"Answer: -w**3 + 52*w - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -16, 56048, 2.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (9 - -2) - (-345 + 334)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -58988759, -117977522, -176966287, -235955054, -294943823, -353932594, -412921367?\n\"Answer: -l**2 - 58988760*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 57, 56, 55, 54?\n\"Answer: -h + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 12 in decreasing order.\nAnswer: 12, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/9))\/(f\/(f**(3\/4)\/f)) assuming f is positive.\nAnswer: f**(-17\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22755825*d**4 - 82008*d**2 - 233.\nAnswer: -546139800*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88831.6 grams in kilograms?\nAnswer: 88.8316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2312 - 1421. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + l + 4 = 17, 2*d = l + 3. Let i be 105\/(-210)*(0 + 0). Sort -3, d, i in decreasing order.\nAnswer: d, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 610*z + 4990. Let j be m(-8). Suppose 2*k - 17 = 5*l + 23, 0 = -5*k + 4*l + 66. What is the highest common factor of j and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 2*x + 2. Suppose 14 = 4*c + r, -2*r + 2 = -2. Let m be n(c). Suppose 3*g = g + 4*q - 8, -24 = -g - m*q. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 + -61. Suppose -a = -54 + q. Let t = a - -92. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*v - p + 17, -2*p = -6. Suppose n + v*m + 47 = 0, -4*n - 8*m + 4*m = 156. Let y = n - -44. What is the remainder when 11 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 11*y**2 + 9*y - 4. Suppose 259*h + 5*n = 258*h + 45, 0 = 4*n - 28. Determine b(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 427*g - 4. Let o(y) = -213*y + 2. Let k(f) = 11*o(f) + 6*q(f). Suppose 100*t - 213 = -113*t. What are the prime factors of k(t)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7)*f)**(2\/3))**(2\/157) assuming f is positive.\nAnswer: f**(12\/1099)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252522 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 67*w**2 - 242*w - 626. Give k(63).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*((-18)\/3 - -8). What is the second biggest value in 0.6, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000143419 rounded to seven decimal places?\nAnswer: 0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 0.3, 6462, -0.002?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*g - 24 = 0, 2*g - 16 = -h + 5*g. Solve 2*b - h = -3*n, -2 = -2*n - 3*b + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/18 - 4\/18. Let a be (-90)\/12*62\/3. Let f = 1397\/9 + a. Is g > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 w when four letters picked without replacement from {j: 3, w: 8}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -6\/7, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363429, -363104, -362779, -362454, -362129?\nAnswer: -361804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -0.02394\nAnswer: 0.0014364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + f. Let s(k) = -5*k**2 + 6*k - 38. Let m(j) = -s(j) + 6*u(j). Determine m(0).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5389 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4aaa4 (base 14) to base 4.\nAnswer: -230232220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 + 945*b**2 - 2*b**3 - 951*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12764682 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 208 = -i + 1142, -5*o - 910 = 5*i. Let n = -70 - o. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -12*z**2 + 22*z - 9. Let r(x) = -37*x**2 + 65*x - 28. Let a(p) = -7*b(p) + 2*r(p). Let l(g) be the first derivative of a(g). Does 19 divide l(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.47, 1, 0.3, 5, 39?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7}. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 60121*u + 60122.\nAnswer: -(u - 1)*(u + 60122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -384, -771, -1158, -1545, -1932, -2319?\nAnswer: -2706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 136\/51 + 1\/3. Find the second derivative of 11*d**3 + 7*d**3 - 16*d**3 - a*d wrt d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(847)*1).\nAnswer: sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/4))**(4\/23)\/((n**(-1\/3)*n)\/((n\/n**(2\/7))\/n*n*n)) assuming n is positive.\nAnswer: n**(443\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-1)\/2*10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/378*40890\/16. Let r = g + -404\/9. What is the common denominator of r and 111\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jujjwuujjwjwjjwjuuuj. Give prob of sequence ww.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5116239 less than 49.7769?\nAnswer: 5116288.7769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x**4 + 428*x**3 - 344*x**2 - 2288*x + 672 = 0. What is x?\nAnswer: -2, 2\/7, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 - (-2 - (1 - 2)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -9*w**2. Let y(n) = n**2 + 6*n. Let f(c) = -10*c**2 - 55*c. Let r(s) = 6*f(s) + 55*y(s). Determine m(r(p)).\nAnswer: -225*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 8 - 0. Let c be 4 + -8 - (s + 1). Suppose 2*n - 5*k - 4 = 9, 3*n = k. Which is smaller: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*g**2*p*w**2 + 247*g**2*p*w - 13*g**2*p - 2*g*p*w**2 + 2*g*p*w - g*w**2 - 36*g + 201*p*w**2 wrt g?\nAnswer: -68*p*w**2 + 494*p*w - 26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 15 = 3*z, -3*s + 23 = 5*z - 7*s. Calculate the highest common factor of z and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 25 = -4*p. Suppose -21 = -3*b + p*m, 11 = -b - 4*m + 1. Is b bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 264*d - 109*d + 99 + 60 - 27 wrt d?\nAnswer: 155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 8*s**2 + 6*s + 4. Let h be m(-9). Let g = h - 19. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 8*i + 1. Let v be z(-8). Let l(q) = 312*q**2 - 312*q**2 + 28*q**3. What are the prime factors of l(v)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 + (0 - 1) + 2 and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632428603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 22*d = 24*d - 6, 0 = -81*d + 80*d + 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*q + 52*q + 1044 = 27*q. Sort 28, q, 10.\nAnswer: q, 10, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -798*u + 801*u - 4*h - 29544 = 0, 0 = 4*u - 4*h - 39392. List the prime factors of u.\nAnswer: 2, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 4:49 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11*k**2 - 6*k - 6. Let x(r) = 120*r**2 + 65*r + 65. What is -65*m(z) - 6*x(z)?\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 4*k - 5. Give t(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 4. Let p be t(7). Suppose 7*g - p*g = -267. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460927988.\nAnswer: 2, 115231997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i = 59*i - 121 - 383 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5670 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2. Let m(v) be the second derivative of -9*v + 5\/6*v**3 + 0 + 0*v**2. Calculate m(j(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(27\/5)*u*u)\/u)\/(u\/(u\/(u*u*u**3*u))) assuming u is positive.\nAnswer: u**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 504948.7 millennia?\nAnswer: 50494870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41981 in -0.3, 2, -3, -2, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-74)\/10)\/(-2 - (-54)\/30) is divided by ((-18)\/(-12))\/((-6)\/(-56)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttuddiduuiiiiritrd. What is prob of sequence id?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10409572?\nAnswer: 2, 41, 63473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*40\/8)\/(-6)*183\/(-244)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2489371255?\nAnswer: 5, 7, 10160699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95170 + 172321. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 29*n**3 - 10123*n**2 + 20155*n - 10062.\nAnswer: (n - 86)*(n - 1)**2*(n + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -721 (base 10) to base 9.\nAnswer: -881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -18114217500.\nAnswer: -18114217500.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2189841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 158413374 a multiple of 274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*x = 575 + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3345*s - 5480 = 6610*s - 3402*s for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -297 - -570. Suppose 4*l = 3*h - a, -5*h - 9 = -4. Do -203\/3 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**5\/60 + n**4\/4 + 5*n**3\/3 + 67*n**2. Let m be t(-5). Solve -4*l = g + l - 17, m*g = -2*l - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1313*t + 109*t = 77056 for t.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = -2, 6 = 4*r - 3*a. Let q = r - 7\/3. Let l = 2806 - 2806.5. What is the third smallest value in 5, q, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 37 = d + 3*v, v + 3 = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 451*u + 1262 = 6*u + 182*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 123805029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-28)\/20*560\/168\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 6:52 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -107 + (-16 - -30) + -23 + (4 - -4) + 12.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-611 + 1388 + 3107)*(0*j + j**2 + 0*j).\nAnswer: 3884*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 - -97. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*j + 1576 - 1030 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/2*(-22)\/(-55). Let j(z) = z - 1. Let w(d) = -d**2 + 5*d - 3. Determine v*w(u) + 3*j(u).\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4935 - 4888. What is the remainder when 131 is divided by o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 464*f**2 + 13456*f.\nAnswer: 4*f*(f - 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s + 0*s + 3*s + (s - s - 2*s)*(25 + 25 + 2).\nAnswer: -105*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - 2 - (-7866)\/1449. Let p be (-9 + 3)*(-1)\/3. Let -6\/7*o**3 - d - 15\/7*o**p - 12\/7*o = 0. What is o?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**4 + 0*u**4 - 2*u**4 - 2*u**4 + u**3 + 8*u**2 in the form s + m*u + r*u**4 + p*u**3 + k*u**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1150 - 16?\nAnswer: -1166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 - 6*t**2 - 21*t + 43*t + 45*t - 65*t - 55 to a*t**3 + o*t**2 + l + j*t and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 37. Let r be a*(7\/(-35))\/(6\/(-10)). Are -7\/4 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 1:27 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.2 + 11. Let f = -1 - -2. Let q = f + -5. Which is the nearest to g? (a) -2\/7 (b) q (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from txtttwtct.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.04, 20, -38, 1, -5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 311826 and 1870956.\nAnswer: 1870956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 105331?\nAnswer: -105332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 10*k - 14. Let n be u(-16). Let w = n - -439\/4. Which is the nearest to -1\/3? (a) 1 (b) w (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011 - -11?\nAnswer: 1100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 62119.56 micrograms?\nAnswer: 0.00000006211956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 7:49 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9008 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 19. Suppose -g - v = -3*g. Let a be 0 + (3 - g)\/1. Solve 2*b = 3*b - 5*t + 4, -3*b - 12 = -a*t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**3 + 34*z**2 - 32*z = 0?\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18468 divided by -1231?\nAnswer: 18468\/1231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34 - -27074?\nAnswer: 27040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 10:46 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.55 times 9.5?\nAnswer: -24.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7179684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-66)\/4)\/((1 + -2)\/(-4)). Let f = 33 + r. Let a = 19 - f. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4293 + -4264. Solve 101 = 12*r + k for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*x - 114*x - 12423 = -504*x for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 - 4*y**3 + 2*y**3)*(-3*y + 2*y - y)*(-8 + 1 - 1).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 12. Which is the nearest to -2\/23? (a) 5 (b) s (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173, -1\/4, -0.1 in increasing order.\nAnswer: -173, -1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -12 + -19 - -20 - (-2 + 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from awawaawancaawnac.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 1489*w - 4 - 1.\nAnswer: 1489*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -56*b - 183. What is the hundreds digit of p(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 4:53 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.16, -2\/19, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -83636 divided by 6\nAnswer: -41818\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5865 = 7*s - 2*s, s + 1167 = c. Suppose c = 3*x + 7*x. Is x a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 8*x. Suppose 0 = -5*t - 4*b + 4, -3*t = -2*t + 4*b + 12. Let r(d) = -t - 8*d**2 + 4 + 6*d**2. What is r(o(p))?\nAnswer: -128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2065 - -2065. Let k be ((-3)\/4)\/(33\/(-8)). Which is the fourth biggest value? (a) g (b) 0.3 (c) k (d) -2.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2 + 10. Suppose o + 10 = a*o. Sort o, 3, -5 in descending order.\nAnswer: o, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -886\nAnswer: -881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 11:25 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7920 and 1304490.\nAnswer: 31307760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1386592, -2 in decreasing order.\nAnswer: 1386592, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*i + 602, 2288 = 24*s - 20*s + 4*i. Does 34 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14\/9, 1.148, 2, 3, 20, -1\/6, -3?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 - 180*l**3 - 375*l**2 - 190*l.\nAnswer: 5*l*(l - 38)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4727939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-35)\/(-30) - (-250)\/(-60).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 65*r + 1347. What is l(84)?\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 18*r**3 + r. Is c(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 796.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -642652, -1285554, -1928456?\nAnswer: -2571358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3481.57 millennia to centuries.\nAnswer: 34815.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 - 3*c**3 + 0*c**3)*(2 - c - 2)*(644*c + 197*c + 287*c).\nAnswer: -1128*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 6135?\nAnswer: 6131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 2*a - 3*k + 18, -2*a - 5*k + 22 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2862 is divided by 284.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, m: 2, y: 2, a: 3, p: 1}. Give prob of sequence yymm.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) 6\/11 (c) -4 (d) 4\/995 (e) 1\/4 (f) -0.059\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 70 = -80 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257777328 divided by -282.\nAnswer: 914104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 46*s = 47*s - 17, -3*h - s = -14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/11 - (-298)\/(-176))\/((-783)\/(-348))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 252, 997, 2232, 3957, 6172?\n\"Answer: 245*j**2 + 10*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*s**2 - 126*s**2 - 23*s**2)*(-2*s**2 + 2*s**2 - s**2) + (-4*s**4 + 3*s**4 + 4*s**4)*(-2 - 5 + 2).\nAnswer: 173*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 57, 83, 109, 135, 161?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5\/5 + 412*r**4\/5 - 2822*r**3\/5 + 7204*r**2\/5 - 7976*r\/5 + 3184\/5 = 0. Calculate r.\nAnswer: 1, 2, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -134, 0, -5 in increasing order.\nAnswer: -134, -5, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 12:47 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -41 - 103. What is the highest common factor of 114 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4841*z**2 + 329*z + 329. Let i(f) = 44*f**2 + 3*f + 3. Calculate -329*i(q) + 3*r(q).\nAnswer: 47*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36429 - -85705. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 256267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + (1936\/(-48) - -1).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yoc when three letters picked without replacement from coococcoocoococcy?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 16182\nAnswer: 1\/16182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(99) + sqrt(99) + sqrt(55)\/(sqrt(125) - sqrt(5)))*-5)**2 + 2.\nAnswer: -1250*sqrt(11) + 178307\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - o + 2. Let z(b) = -b - 1. Let m(h) = -h**2 - 2*h - 1. Let w be m(-2). Let d be z(w). What is the units digit of i(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/d**(-3))**(-38)*(d*d**(1\/4)*d\/d**(3\/2))**(-1\/32) assuming d is positive.\nAnswer: d**(-3\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y - 442 = -14*y - t, 4*y - 3*t = 1789. Suppose 2*g - 1621 = -y. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, 93, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*t + 1 - t**2 - 1\/2*t**3.\nAnswer: -(t - 1)*(t + 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -1\/2, -2, -3.98 in descending order.\nAnswer: -1\/2, -3\/4, -2, -3.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2603*h + 432 = -2657*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3208400403?\nAnswer: 3, 13, 82266677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = u - j, 16*u - 18*u + 4 = 2*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, l: 2, p: 1, q: 2, n: 5}. What is prob of sequence fq?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + 3)*-2 + -1. Suppose p*c + 0*c = 15. What is the second derivative of 4*v**c + v + v - 4*v wrt v?\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 8*h**2 + 180*h - 1044. What is the least common multiple of 96 and s(6)?\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13407 + 13406. What is the nearest to p in -2, -41, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1730 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4667 + 4693. Solve -127 = y*r + 29 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -229\/729481 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2088*k**5 - 14006*k**4 - 4264*k**3 - 46*k**2 + 28*k = 0. Calculate k.\nAnswer: -1\/4, -1\/9, 0, 2\/29, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119900912 - 7.105.\nAnswer: -119900919.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o + 49. Let v be w(13). Let p be -10*v*3\/18. Solve 3*z - z + 3*c = -2, -3*c = -p*z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-255)\/510)\/((3 - 0)\/(-427182)).\nAnswer: 7, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33003.346 + 32714.8. Let n = w - -289. What is n rounded to two dps?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 463278637?\nAnswer: 463278630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6198322 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 - -42. Let j = -18 - s. Sort 1\/3, -0.2, j in decreasing order.\nAnswer: 1\/3, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59987953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lttlrttltrtaatzatt. Give prob of picking 2 a.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 13*y**2 + 2*y - 3. Let i be o(-3). What is the highest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 923*g**2 + 6571*g - 4223. Find the first derivative of h(l) wrt l.\nAnswer: 1846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5d2 (base 14) in base 9?\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1549*z - 803*z = 942*z - 9604 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2222120*p**4 - p**3 + 7*p**2 + 120*p - 133.\nAnswer: -53330880*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2. Let h(s) = -2386*s. Give z(h(u)).\nAnswer: -17078988*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -68 - ((27 - 37) + 19).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7340616, 7340655, 7340704, 7340769, 7340856, 7340971?\n\"Answer: g**3 - g**2 + 35*g + 7340581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eight fifths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 25 - 65. What is the units digit of g\/(-50) - 206\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from lfhia?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*u + 578*u - 44370 = 3110*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-116156)\/30 + (-14)\/105. Let x = 5527 + o. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, o: 1, l: 4}. Give prob of picking 2 i and 1 o.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -659 - -659. Let p be (-76)\/(-36) + -2 + d. Determine k, given that 0*k + p*k**2 - 4\/9 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n = -24 + 44 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - x**2 - 7. Let n be (8\/6)\/(-1 - (-13)\/9). Let k be r(n). Let d = -27 + k. What is the greatest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80203 and 784933?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ec8 (base 16) in base 4?\nAnswer: 323020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 996?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16\/1511 or -973?\nAnswer: -16\/1511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2007430 - -1?\nAnswer: 2007431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:15 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 1\/4, 1\/3, -0.6.\nAnswer: -19, -0.6, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2381670 (base 11) in base 4?\nAnswer: 33310012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.4, 4, -4, -0.5, 2, 16 in ascending order.\nAnswer: -4, -0.5, 2, 4, 4.4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -117 + 231\/2. Sort 2, -3, l, -16 in ascending order.\nAnswer: -16, -3, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -60*r - 92. Let v be a(12). Let l = -398 - v. List the prime factors of l.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8a1d1bc + -5?\nAnswer: -8a1d1c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 1. Suppose -3*r - 2 = -4*r. Suppose -5 - 7 = r*k. Calculate c(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19815 and 2642?\nAnswer: 39630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2330 - 27\nAnswer: -2357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**4 + 3*h**4 + 4*h**4 + (451*h + 1161*h**4 - 451*h)*(-5 + 2 + 4) in the form c*h**4 + i*h**2 + u + n*h**3 + s*h and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, 6 in descending order.\nAnswer: 6, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28265746 or 28265765?\nAnswer: 28265765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.68533697 to three decimal places.\nAnswer: 0.685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(0 - (-3)\/2). Suppose -7*x = -f*x - 57. Calculate the greatest common divisor of 19 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5 + 46*o - 5 - 2*o**2 - 46*o. Let h(k) = 856*k. What is h(v(s))?\nAnswer: -1712*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 7. Let l(q) = 71 + 4 - 8*q + 32*q - 19*q. Let s be l(-15). Determine r(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**13)\/(t*t\/(t**(-6)\/t)*t) assuming t is positive.\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 + i + 1. Let t be s(-1). Let d be -2 + 3\/t - -2. Is 14 a factor of 5*d\/(10\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 62640.\nAnswer: 313200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 23 = -l. Suppose -2*s + 7*s - l = 0. Let t = 8597 - 34387\/4. What is the smallest value in 1\/3, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6594 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + (-28)\/8)*10. Let p(c) be the second derivative of c**4\/12 + c. Give p(q).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28157027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.76058 kilometers in centimeters?\nAnswer: 6676058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - 1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 865\/173*2\/21*(-27)\/18.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 1)*(1 + 2*t - 1)*(-4 + 2 + 5)*(-283*t**2 - 442*t**2 + 599*t**2) as g*t**3 + r + i*t**2 + x*t and give g.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3808.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1284 - 421 - 7*y - 429 - 434.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*s - 117*s + 38*s + 1029600. Is 22 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 71*j - 136*j + 125*j + 2. List the prime factors of v(4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, -0.4, -37 in increasing order.\nAnswer: -37, -0.4, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2437*i**2 + 7309*i**2 - 2440*i**2 - 15 - 2435*i**2.\nAnswer: -3*i**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -725653.87 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 91 divided by -22?\nAnswer: -91\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*2 + 1 + -1. What is the derivative of -f**3 - 2*f**4 - r + f**3 wrt f?\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 4:20 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 16 + 6. Let j be n*((-18)\/(-10))\/(-3). Suppose 3*x + 4*w = -4, w - j = -x + 4*w. Solve 0 = -2*b - x*b - 5*v + 7, 2*b + 20 = 4*v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d - 5. Determine j(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 274 = -131. Let y = 55 - b. Let z = y + 36. Calculate the remainder when z is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000027981 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -0.1 (c) 2262\/5 (d) 1171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + -7)*(0 + 1) - -84. Calculate the greatest common divisor of s and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15 - (-10)\/(-5)) + 1. Let j = i + -9. Let p = -3 - -6. Which is the closest to p? (a) 1\/3 (b) 1\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*u**2 + 483*u - 157*u - 163*u - 28*u**2 - 162*u.\nAnswer: -105*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21106372 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 38203 (b) 4 (c) 1 (d) -2\/5 (e) 0.1 (f) -4 (g) -1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 + 39*b**2 + 6*b + 22. Does 23 divide r(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 259741 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5915294 rounded to 2 decimal places?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, m: 1}. Give prob of picking 2 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhra when four letters picked without replacement from rrhccharccchclhrc?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**5\/20 + 3*t**4\/4 + 7*t**3\/6 - 2*t**2 + 7*t. Let f be s(-8). Put f, 2\/3, -4 in decreasing order.\nAnswer: f, 2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -1230?\nAnswer: -6150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 4. Let w be a(6). Suppose 5*o = w*q + 15, 0 = 3*q - 2*o - 0 + 6. Suppose q = -2*t + t + 191. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 99886.18 centuries?\nAnswer: 119863416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 > 1231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 138*c + 264.\nAnswer: 3*(c + 2)*(c + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)*(d*d**(-1\/20))\/d assuming d is positive.\nAnswer: d**(-121\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g + 3 - 41 - 13*g + 17*g. Suppose -5*z - 21 = 34. Let i be f(z). Solve d = 4*d - i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 4*g - 3*g)*(-2*g + 12 - 12)*(3 - 3 - 2 + 5 + 6 + 4 + (4 - 6 + 0)*(1 - 4 + 1)) in the form p + y*g + w*g**2 and give w.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 6.4. Let o = h - 0.2. Put -3\/4, o, 0.5 in increasing order.\nAnswer: -3\/4, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251.2477 nanograms in micrograms?\nAnswer: 0.2512477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 8. Let t be (5\/3)\/(2\/(-6)). Let h be s(t). Let v be 11\/(-4) - (6 - 9). Which is the second smallest value? (a) 2 (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49805638 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 180792017, 180792016, 180792015, 180792014?\n\"Answer: -p + 180792018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d - 11. Suppose 0 = -5*q - 14 + 34. Let z be c(q). Let l(x) = 2*x + 0*x - x - 4*x. Give l(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**3 + 334*z**2 - 1357*z - 1690 = 0.\nAnswer: -338, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 13. Suppose -s + 3*f + 32 = 0, -7*s + 149 = -3*s - 5*f. What is the remainder when s is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, o: 1, y: 3, w: 3, e: 6, a: 2}. What is prob of picking 1 y and 1 a?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -4*x + 0 + 0*x**3 + 1\/4*x**4 + 0*x**2 - 1\/30*x**6 + 0*x**5. Find the third derivative of f(l) wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-6) - 0)*3. Suppose 0 = 3*q + 2*o - 20, -26 = -3*q - q - v*o. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2333 - 580 = 66*a + 1028 - 2839 for a.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/32 and (-14*2\/16)\/(5 + 180\/(-25)).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2*v - 43 = 0, -5*i - 71 = 22*v - 26*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, -12, -257, -1\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 3*w**2 - 7*w. Let r(i) = -27*i. What is the remainder when r(-1) is divided by k(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-31)\/(62\/(-36))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in 4, 1, 0.8, -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = v - k + 11, k - 4 = 0. Let m(q) = -2*q**2 - 3*q - 1. Let b(f) = 5*f**2 + 6*f + 3. Let y(a) = v*m(a) - 3*b(a). Let y(x) = 0. What is x?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 - 160 = -126*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*c - 16437 + 2735. Solve 0 = 2*g + 814 - c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 202 = -3*p + 28, p - 302 = -5*i. Calculate the greatest common factor of i and 420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/33 and -5\/172633272?\nAnswer: 1898965992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8586, -8591, -8600, -8613, -8630?\nAnswer: -8651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37370, -74763, -112152, -149537, -186918, -224295?\nAnswer: -261668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiririp. What is prob of picking 2 i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, t: 4, p: 5, r: 2}. Give prob of sequence tj.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 9:08 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 36 - 8. Calculate the common denominator of ((-270)\/v)\/(3*-1) and -65\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2139\/2 + -3164\/3. Suppose 74 = -5*k - 4*b, -2*k - b - 23 = 6. What is the common denominator of j and (k\/3 - -1)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1097, 714, 441, 326, 417?\n\"Answer: 8*b**3 + 7*b**2 - 460*b + 1542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b**3 - 2183*b**2 + 2*b - 9838124 wrt b.\nAnswer: -24*b**2 - 4366*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6940*f - 3. Let x be m(-1). Let a = 15757 - x. Round a to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1363*u + 2882 wrt u.\nAnswer: -1363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 4, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 224\/(-70)*((-20)\/(-16))\/(3\/24)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + 8.8. Let b = -9.4 + v. Let p be 2\/6*(-5 - -1). What is the biggest value in p, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 13 - 601 = 0. Let v = x - -443. What is v rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3312 - 3311. Solve 0 = 13*f - 14*f - w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5257.\nAnswer: 7, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -34, -0.2 in ascending order.\nAnswer: -86, -34, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) -0.5 (b) 5 (c) -1\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 3\/2, 3, -0.31?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43780635*w**3 - 2*w - 705500 wrt w?\nAnswer: -262683810*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 - a + 2*a**4 - 2*a**4 - 10*a + a**3 + a**4 to the form x + t*a**3 + u*a**4 + k*a + r*a**2 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8 + (-17600001)\/(-4). Suppose 3*k + j = -2*k. What is k rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 13784130?\nAnswer: 82704780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20891035, 20891042, 20891049, 20891056, 20891063, 20891070?\n\"Answer: 7*i + 20891028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 176*b**2 - 179*b**2 + 9*b - 11*b + 81*b**4 to m*b + w*b**4 + g*b**3 + n*b**2 + l and give w.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 0*h + 0*h)*(-h + 6*h - 3*h)*(-1 - h**2 + 4 - 5 + 2*h).\nAnswer: -4*h**5 + 8*h**4 - 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - 15. Let h(j) = 14*j - 187. Let w be h(11). Let f = b - w. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -12, -4, 4 in increasing order.\nAnswer: -12, -4, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**4 - 18*l**3 + 27*l**2\/2 - 3*l.\nAnswer: 3*l*(l - 2)*(2*l - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1)*(80\/(-10))\/56.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**3 + a**2 - 1. Let r be l(-1). Suppose 0 = -11*n + 7*n + 5*q, 2*n = 2*q. Solve n*s = r*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8*x + 8. Let p be l(6). Let v = 43 + p. Suppose j - 7 = -3*g, 2*j = v*j - 1. Which is the closest to g? (a) -3 (b) 3\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 13*n**2 + 14*n + 12. What are the prime factors of c(-6)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2050315 times -5\nAnswer: -10251575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22728897 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*290\/(-232)*(-8)\/5. Let q be f\/(-6) + (-371)\/(-42) - 6. Suppose 7\/6*s**2 - 3 - 1\/6*s**4 - q*s + 1\/2*s**3 = 0. Calculate s.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1028133 is divided by 257012.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10203 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1016*y + 6*y**3 - 2205*y**2 - 4*y**3 + 1101*y**2 + 1102*y**2 + 2467*y to w*y**2 + r*y**3 + p + b*y and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1012, -1067, -1168, -1327, -1556, -1867?\nAnswer: -2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 11070?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**2 - 8*p + 1. Let r = -787 - -779. Let w(i) = -i + 3. Let v(k) = r*w(k) - 3*a(k). Let c(o) = 5*o. Calculate v(c(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 29, 880, 0, -240 in ascending order.\nAnswer: -240, -5, -3, 0, 29, 880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 4*k - k + 7*k - 2 - 20 to v*k + m and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b**2 - 82*b + 24. Let l be d(-12). Sort 8, 3, l, 1 in decreasing order.\nAnswer: 8, 3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 3. Suppose -7*a + 11 = -10. Let r be s(a). Suppose r = 2*v + 5*t - 96 + 8, -4*v = t - 212. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2072*q - 91*q - 2737*q in the form y*q + f and give y.\nAnswer: -4900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 136\/(-84) - 2\/(-8) and (-43775)\/(-2472)*(-5)\/((-225)\/(-6)).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Let h = 2 - s. Put h, 0.4, 2 in ascending order.\nAnswer: h, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162568*k**2 - 162568*k**2 - 102924*k**3.\nAnswer: -102924*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 2*m**2 - 2*m - 1. Let d be u(-1). What is the units digit of 74\/4 + (-1)\/d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -2*u**5\/65 - 2*u**4 - 52*u**3 - 676*u**2 - 4394*u - 58. Factor a(r).\nAnswer: -2*(r + 13)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rw when two letters picked without replacement from {k: 4, r: 4, n: 5, w: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/(13\/416). Let z be (-3)\/12 + 276\/r. Suppose -5 = -p + z. What is the greatest common divisor of 242 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199335568?\nAnswer: 2, 12458473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2. Let h be n + 2 + (2 - -204). Suppose -5*z - 23 + h = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1458c (base 13) to base 12\nAnswer: 1a206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/7 and -51\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/84)\/5*6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/25 in 1, -1, -1\/6, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1573138.559 to the nearest 10.\nAnswer: 1573140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7 less than -848146?\nAnswer: -848151.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 + 31*f**2 - 387*f - 209. Determine p(-23).\nAnswer: 757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3457 + 8 = -315*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 591 + 1759 = 0. Let c = i + -1279. Is ((-7)\/28 + c\/12)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2554*0.2\nAnswer: 0.05108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*m + 76, 8*m - 4*m - 60 = b. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*n - 2 - 90*n**4 + 88*n**4 + 1 as f*n**3 + u*n**4 + g*n**2 + b + x*n and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308525 and 3776647.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 13*s**2 - 11*s + 86. Let o(y) = -7*y**2 + 6*y - 44. What is -6*m(b) - 11*o(b)?\nAnswer: -b**2 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 + 67 - 57*h.\nAnswer: -57*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 153133117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxx when three letters picked without replacement from xdxdxdddxxxxdd?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1287788 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.202 (b) 3\/2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1 - 1 - 5 + j. Let l be (-12 - -31 - 6)\/1. What is m(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 + 16*l**3.\nAnswer: -l**3*(l - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s - 4. Let q(y) = -6*y + 2. Let c(f) = -2*f + 3. Let z be c(5). Let n(r) = -1410*r - 14103. Let u be n(-10). Give u*w(o) + z*q(o).\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -834, -2803, -6046, -10539, -16258, -23179?\n\"Answer: 4*d**3 - 661*d**2 - 14*d - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 1:41 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9873, -9874, -9875, -9876?\nAnswer: -9877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2098.6, -15, -5\/3.\nAnswer: -15, -5\/3, 2098.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 9*a - 28. Determine k(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59\/5? (a) -3\/5 (b) -1 (c) 3 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00041604 rounded to six decimal places?\nAnswer: -0.000416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a + 42 + 15 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j + 21*j + 8 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 2*z**2 + 3*z + 3. Calculate f(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -176, -270, -362, -452, -540?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**5 - 4*y**5 + y**5 - 4*y**4 + 4*y**4 + y**5 + (5*y - y + 3*y)*(-y**4 + 3*y**4 + 0*y**4) + 2*y**5 + 10*y**4 - 10*y**4 - 4*y**3 + y**5 + y**3 + 2*y**3.\nAnswer: 17*y**5 - y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365757.\nAnswer: 3, 7, 17417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 776 - 2*w**2 - 1552 + 776.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1767 = -3*x - 0*x, -3*x + 5*t = -1751. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 3*x + 28. Calculate the remainder when 110 is divided by s(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 13714 = 2*g, -3*u - 113*g + 8229 = -112*g. What is the lowest common multiple of 2156 and u?\nAnswer: 30184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.710544 minus -791.32?\nAnswer: 979.030544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106 - -132. Which is the third smallest value? (a) v (b) 0 (c) 2\/3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 952593158 to the power of 1\/2, to the nearest integer?\nAnswer: 30864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28113.\nAnswer: 3, 9371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 0 + 23 = 5*c - o, 168*c - 173*c - 2*o = -42 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58729*t**5*v - 11*t**3*v - 2*t**2*v + 3*t*v + t + 229414*v wrt t?\nAnswer: 1174580*t**3*v - 66*t*v - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15156334597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6\/11 - 4\/11. Let q = -8.8 + 9. What is the smallest value in -1\/5, d, q?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -11*b**2\/2 - 6276. Let x(k) = 936*k + 143. Let r(v) = -26*v - 4. Let q(y) = -143*r(y) - 4*x(y). What is a(q(i))?\nAnswer: 286*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(208))**2 - sqrt(13))*1 + ((-2*sqrt(13))**2 + -2 - (sqrt(78)*1)\/sqrt(6)).\nAnswer: -2*sqrt(13) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 442 and 433 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*p - 9*p + 144, 0 = -4*j + 2*p + 288. Suppose -j = -3*k - 3*k. What is the smallest common multiple of k and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 627 and 659538?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + sqrt(252)*-1 - sqrt(252)) + 1 + 4*sqrt(252)*-3)**2 - (sqrt(84)\/(-1*sqrt(1452) + sqrt(12)) + 4 + -5 + sqrt(63))**2.\nAnswer: -751*sqrt(7)\/5 + 4252913\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 10*j = -12. Let u be (-8 + j)*6\/(-4). Suppose 4*i + u*q - 274 = 0, i - 47 = -2*q + 19. Calculate the highest common factor of 105 and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = 4*a + a. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -394 - -676. Let r = -282 + m. Solve r = x - 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 12*o - 9. Let r be n(13). Let l = r - -1. Suppose p - 9 = -2*q - 2*q, l*p + 3*q - 11 = 0. Is 14\/9 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 169 - 168.6. Which is the nearest to -2? (a) u (b) 6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1317237 is divided by 360.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1250*d - 1246*d + 2*m = 24, 4*m = d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4904492, 4904493, 4904494?\n\"Answer: j + 4904491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 - -1. Let g = 72 + v. Let z = 0.3 - -1.7. Which is the third smallest value? (a) 1\/6 (b) g (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddo when three letters picked without replacement from dddjdodjjdddl.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 2. Let v be h(-5). Let d be ((-21)\/(-28))\/(v\/(-5)). Which is smaller: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 186*c**2*l - 141*l wrt c.\nAnswer: 372*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**4\/4 + 3*k**2\/2 - 2*k + 1. Is x(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*z - 12*z + 87 + 93 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 45\/4 - 18\/(-24). Let u = 13 - g. Is 2\/7 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**3 - 8*u**2 - 39. Let a(t) = t**3 - 3*t**2 - 13. Calculate -8*a(x) + 3*p(x).\nAnswer: -2*x**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0305 + -3.9695. Which is greater: h or 4\/19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2, 0 = l + o - 0*o - 1. Which is the closest to 0? (a) -5 (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -3*p**5\/20 - 3*p**4\/8 + 3*p**2\/4 + 3*p\/4 + 12. Factor r(f).\nAnswer: -3*(f - 1)*(f + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 410624 and 453130?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/308 and -117\/308?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from bdbcddbdcdcdcd?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -169, -289, -461, -703, -1033, -1469, -2029?\nAnswer: -2731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-24)\/r*r*r**(1\/4))\/((r**(4\/3)\/r*r)\/(r\/(r**(1\/20)\/r*r*r))) assuming r is positive.\nAnswer: r**(-377\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:43 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 92544924.\nAnswer: -92544924.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.86 - 0.14. Let l(x) = -2*x**2 - 3*x - 3. Let r(p) = -p - 10. Let n be r(-8). Let u be l(n). Which is the nearest to f? (a) -6 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -231b7 + 5?\nAnswer: -231b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**5 + 160*y**4 - 1805*y**3 + 8530*y**2 - 15200*y + 8320 = 0. What is y?\nAnswer: 1, 2, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 301 - 308. Let q be (2 + 0)\/((-4)\/10). Let c(l) = -l**2 + 5*l + 5. Let t(g) = 2*g**2 - 7*g - 7. What is q*t(i) + z*c(i)?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 331178294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -w + 4*x, 3*x - 137 + 28 = 2*w. What is the fourth smallest value in 2\/11, -4\/3, 5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -350607210 by -376997.\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 350802496?\nAnswer: 350802496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435806404.\nAnswer: 2, 11, 227, 43633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 513419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -1887, -6902, -16661, -32742, -56723?\nAnswer: -90182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 788 + -743. What is the lowest common multiple of r and 55?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9368?\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(24)\/sqrt(2))\/sqrt(4) + sqrt(3) - (sqrt(3) - (sqrt(3) - sqrt(9)\/sqrt(3)))**2*5).\nAnswer: -16 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/5)\/((-198)\/(-27)*-1*1\/(-2))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((800\/24)\/4)\/((-222)\/666).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20174438\/15 + -1344425. Let k = l + -537. Is 1 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28184588, 28184586, 28184584, 28184582?\n\"Answer: -2*w + 28184590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 11*b = -6*b. Solve 5*h + 0*h = b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27934667 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: Evaluate (51\/(-153))\/(2\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1489 + 1517. Let z = 2.604 + 25. Let o = a - z. What is o rounded to 2 dps?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -10*m - 9. Suppose 0 = -3*s - 3*f + 57, 2*f + 3*f = s - 13. Let h(w) = -w - 3 + 0*w + 2. What is s*h(x) - 2*b(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/615917 and 43\/305.\nAnswer: 3079585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 16*o + 716 = 0, -160 = 19608*d - 19615*d + 3*o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 2*d - 4 + 4*d - 4*d. What is the least common multiple of c(-8) and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/56 + (-3)\/(216\/(-50)). Let t(s) be the first derivative of -p*s + 1\/3*s**2 - 2\/27*s**3 - 1. Find r such that t(r) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*r**4 + 23*r - 23*r + (4*r**3 - r**3 - 4*r**3)*(-4*r + 0*r + 2*r) to the form a + w*r + b*r**2 + p*r**4 + o*r**3 and give p.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 918127530 to the power of 1\/3, to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.44 * 0.0122379\nAnswer: 0.005384676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1193248 and 38?\nAnswer: -45343424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -12, 2, 0.07, 6 in decreasing order.\nAnswer: 6, 2, 0.3, 0.07, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 2*s**2 + 3*s - 3. Let v be n(-3). Let w be (12\/2)\/(3\/2). Which is the closest to -3? (a) w (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335052 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/256 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 32969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 637373897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -43*h - 328. Is w(-47) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2564*f - 3555*f + 4961*f.\nAnswer: -1158*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 132 - 132. Solve -5*y - 3 = -2*c, -y - 5*c + 3*c - 3 = r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002121295 rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p - 2272. Let c(y) = 7*y - 1. Give c(d(k)).\nAnswer: -35*k - 15905","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/1515, 0, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28072 is divided by 5570.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 + 52*k - 151. Calculate z(21).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*b + 24 - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) 36 (c) -112\/13 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/(-1) - (-567388)\/15381?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 11 - 1 = 0, -2*p = 5*w - 5546. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -103*k - 5. Is p(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -9. Let x be 93\/7 + (2 - (-48)\/(-21)). Suppose -6*b + 97 - x = 0. What is the least common multiple of b and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21\/388 + 11257\/3492. Let u = 40423 + -1818992\/45. What is the common denominator of u and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, m: 2, s: 5, w: 2, t: 1, b: 1}. What is prob of picking 1 b and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -180 + 0*m + 9*m - 18*m + 7*m + 10*m to the form s + u*m and give s.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 7*k**4\/24 - 2352*k**2. Let t(g) = 53*g + 3. What is t(d(a))?\nAnswer: 371*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 25. What is r(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.7 - -0.7. Let m = -37.2 - -37. Which is the biggest value? (a) 0.4 (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 713 = 7*y + 22*y - 186 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1722*i - 117*i + 121*i = -628*i - 18832 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-2 - -3))\/((-2)\/(-10)). Suppose -5*m + 10*m + h*d - 414995 = 0, d - 331999 = -4*m. Round m to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/43 or -22\/3?\nAnswer: -7\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1100110221 (base 3) to base 2\nAnswer: -110011111100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 14.2. Which is the nearest to 1\/6? (a) 2\/13 (b) 5\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - g**2 - 4. Give u(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = s - 2*s - b, 4*s + 3*b = 20. Suppose -2390000 = s*x - 9*x. What is x rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -4*m - 30. Find the common denominator of 1 + 207\/(-48) + -2 and 6\/m + (-698)\/(-60).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69728689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526219 - 518319 = 158*r for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 853324 greater than 853336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4 = 5*q, -4*j - 4*q + 12 = -20. Suppose -j*x - 3*r + 16 = 2*r, 5*x = -5*r + 25. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -181, -507, -983, -1603, -2361, -3251, -4267?\n\"Answer: b**3 - 81*b**2 - 90*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3 (b) 18.1 (c) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-3) - 224\/(-22) - (-324)\/33.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.5, 10\/43, 16 in descending order.\nAnswer: 16, 10\/43, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**3 + 169 + 202 - 371 + 14*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 17, 27, 37?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - a + 4. What is g(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6023 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-24) + 1\/9\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66339451 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 1196.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7509 or 7512?\nAnswer: 7509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 + 9*w + 0*w**2 + w**2 + 2*w**2 - 234*w to the form b*w**2 + s + j*w and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 604229.8 micrometers in millimeters?\nAnswer: 604.2298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 10*b + 174 = 4*p, 27*p - 1137 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2 - (-2)\/(-4). Let m = 564.3 - 564. Let g = -3 + 2. Which is the nearest to r? (a) 1 (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 838379?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(6\/11)*i**18*i*(i**4)**(-1\/4) assuming i is positive.\nAnswer: i**(203\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 110111010000111000 (base 2) to base 14\nAnswer: 5c6c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-2\/9)\/j))**(-35)*((j\/((j*j\/j**(2\/7))\/j))\/j)**(-4\/5))**(-6\/13) assuming j is positive.\nAnswer: j**(9728\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 24. Give k(-10).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + b + 27, 4*s = 4*b - 12. Let m(r) = r + 1. Calculate m(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*v + 406*v - 17657 - 10801 = -328*v for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*l + 5*l - 12, -4*j + 5*l + 15 = 0. Let p(o) = -o**3 + 6*o**2 - 4*o + 5. What is the tens digit of p(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 424711434 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, b: 1, j: 1, l: 1, g: 2}. Give prob of picking 1 g, 1 l, 1 j, and 1 y.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 12*g**2 - 11*g - 162. Give l(-12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*g + 62*g - 5226 = -151*g + 266*g for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.12 - 1.02. What is the nearest to k in 0.4, 4, 25?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 12*d**2 + 114*d - 8. Let w(h) = 3*h. Determine f(w(g)).\nAnswer: 108*g**2 + 342*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13370 and 21392?\nAnswer: 106960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 + -82. Solve 3*w + 2*c = -i, -w = c - 4*c - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968070259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -316 - 217 + 536. Let y(j) = j + 3. Calculate -3*n(q) + 2*y(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100100110111000100110 (base 2) to base 3.\nAnswer: 200001112212020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 45 = 2*v. Let b = 29 + v. Let o(z) = -z**2 - 6*z - 1. Let r be o(-5). What is the highest common divisor of r and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 0*v**2 + 0*v**3 - 2*v - 1\/15*v**6 + 0 - 1\/6*v**4 + 1\/5*v**5. Factor q(t).\nAnswer: -2*t**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122434 is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.1\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpk when three letters picked without replacement from ppxppppxpkssxxpp.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*o, 3*y + 292*o = 289*o + 2175. Calculate the smallest common multiple of 728 and y.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -78. Suppose -4*b = -z - 1 - 0, 5*z - c = 5*b. What is the third derivative of 6*l**2 + z*l**3 - 11*l**3 + l**5 + 3*l**5 wrt l?\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (3*sqrt(152) + sqrt(152)))*-1)\/sqrt(8).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (355*t - 220*t + 72*t)*(t + 0*t + 0*t + (-9 + 2*t + 11 + 0*t)*(-5 + 1 + 2)) to the form i*t**2 + z + j*t and give j.\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**6\/10 + 17*t**3\/6 + 15*t**2. Differentiate i(h) with respect to h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 39 = 3*j, g = 1 + 2. What is the least common multiple of 166\/j + (-1)\/(-4) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 3*c - 93 - 42 - 20 to the form t + v*c and give t.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 30 = 146. Let t(k) = -37*k - d + 3 + 40*k. Calculate t(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -9*o + 14*o. Suppose 3*t - 5*a = 4219, 2*t = o*a - 294 + 3110. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -87, -87, -91, -99, -111, -127?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (2 - (-6 + 9)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, r: 6}. Give prob of picking 1 x and 2 r.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165431 is divided by 6358.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46*1*687\/(-1374)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 4253458*x - 8506908.\nAnswer: -2*(x - 2126727)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2 - 0)*10. Solve v - 4 = -o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30 - 12109?\nAnswer: -12089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*o + 3, 264 = -2*r - o. Let v be 12\/30 - (-72)\/r. What is the nearest to 0 in v, 2\/3, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 - 79 = -3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166667?\nAnswer: 166667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, -184, -2, -1 in descending order.\nAnswer: 6, 4, -1, -2, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2097*y + 45423 = 859*y + 5619 + 1376 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 28) + -2 + 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-6))\/(4\/(-144)*12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 26.43?\nAnswer: -29.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -934 - -70985\/76. Let t = a + 73\/228. Put -5, t, -0.09 in ascending order.\nAnswer: -5, -0.09, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1872 = -227*o + 83*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1394 times -593?\nAnswer: -82.6642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 598*q - 832. Determine h(2).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -231 (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - (sqrt(2057) - (sqrt(2057) + -3 + sqrt(2057)))) + 4)**2.\nAnswer: 44*sqrt(17) + 8229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -94. Calculate the greatest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -674 + 679. Suppose 0 = b*g + 5*i - 29 - 91, 3*i + 90 = 3*g. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/144 and -95\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12437171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/5 + 1433*j**2\/5 - 71863*j\/5 + 70431\/5 = 0. Calculate j.\nAnswer: 1, 51, 1381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 2)*8\/3. Let b be (-18)\/3 - x - 17*-32. Suppose 5*n - 596 = -w + 296, -b = -3*n + 3*w. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/8*(5\/5 - -3). Calculate the highest common divisor of 231 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 + 130*q + 775.\nAnswer: -5*(q - 31)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -2, 9672, -1, 3 in decreasing order.\nAnswer: 9672, 3, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1091900 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 d when three letters picked without replacement from {d: 10, y: 2, l: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 909 - 60870?\nAnswer: -59961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/23, 4, -4\/7, 0, 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86207676.\nAnswer: 2, 3, 7183973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 17 (b) 0.044 (c) -2\/137 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 649382 + -649356. Suppose 0 = -w + 204 + 470. What is the remainder when w is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/7*(-231)\/33.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-32)*g**17)**(-36) assuming g is positive.\nAnswer: g**540","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2470, 4872, 7196, 9442?\n\"Answer: -39*i**2 + 2519*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2212)\/(-158) + 4 + -4. Solve -9*g + 11*g = -y + h, 8 = 2*y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + -13. Let h be (4066\/x)\/((-2)\/26). Let v = -2940 + h. What is the common denominator of 24 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o - 4*o = -51 - 37 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 6*o**2 - 5*o - 1. Let y be z(-5). Let k = -1246763\/130092 - -4\/10841. Find the common denominator of k and y + (0 - (-111)\/60).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from {z: 2, u: 5, v: 5}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - l = -16, -5*g - 22*l + 18 = -19*l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -339, 24, 3.\nAnswer: -339, 2, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78697?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3112*a**2 + 296*a + 6. Let u be y(-2). Round u to the nearest 100.\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 22. Let b(u) = -u**2 - 10*u - 5. Let k be b(g). Solve z - 2 - 20 = -k*d, 5*z - 5*d = -15 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (-10 + 12) - 21\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -263970 + 263927.0084. Let s = 43 + m. What is s rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 2, 5, 10, 17?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31745*j*k**2*s**4 - j*k**2*s - 113*j*k*s - 1157*j*s**2 + 112*k**2*s**4 wrt s?\nAnswer: 761880*j*k**2*s + 2688*k**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*a + 23*a - 5*a)*(-a - a + a)*(6 - 2 - 2) as h + t*a + b*a**2 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + 5*s**2 + 52*s + 4 - 42*s. Let k be o(-4). What is the highest common divisor of k and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times 145201\nAnswer: 15972.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -328\/3 (b) -2\/5 (c) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 178 - 113. Suppose 5*q - 10*q + 14 = -d, 4*d = -16. Suppose -q*v + 199 = a. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/3 - -8) + -5. What is the common denominator of (-41)\/8 + -3 + s and 37\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -a532?\nAnswer: -a533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*(728\/120 - 6)*(5 + 10).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22033 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((1*(-3)\/(-15))\/(28\/(-20))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -67*u + 668. Calculate i(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 3) + 4 - -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from uvujjc?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37\/3 + -13. What is the second biggest value in y, -3, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**3\/5 + 1311*z**2\/5 + 3972*z\/5 - 1056 = 0. Calculate z.\nAnswer: -4, 1, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0*z + 4*z)*(2*z**3 + z**3 + 2 - 18*z**3).\nAnswer: -60*z**4 + 30*z**3 + 8*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21038567 and 808830?\nAnswer: 8987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/3)\/o)\/(o**9*o*o)*(o*o\/o**(-24))\/o*o\/(o\/o**(-20)))**(2\/69) assuming o is positive.\nAnswer: o**(-38\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 16) to base 13\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338 != 673256\/503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -9.3, -0.4, 0.3, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j - 4*j + 3*j**2 - 10*j**2. Calculate s(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 334744.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 2, -15198, -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 5\/2*h**2 + 7\/30*h**6 + 0*h**4 + 6*h + 0*h**5 + 0*h**3 + 0. What is the first derivative of o(n) wrt n?\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 2*d - 5*f, -4*f - 40 = d + 4*d. Let o(i) = i**3 + 12*i**2 - i - 6. Let g be o(d). What is the first derivative of -2 + g*s - 12*s + 9 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 1\/3*o**3 + 8*o - 5*o**2 + 0. Calculate w(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14000.06047 - 14000. What is p rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttkttbakpbtaat. What is prob of picking 2 b, 1 a, and 1 p?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9686.806 millilitres to litres.\nAnswer: 9.686806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97643 is divided by 1713?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -177530 (base 8) in base 14?\nAnswer: -19b72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -600137524 divided by 314?\nAnswer: -1911266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*t + 15, 4*i + 15 = 3*t - 5. Suppose -v - v = t. Let l = -2 + v. Is l < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3, 10 in descending order.\nAnswer: 16, 10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 19, 34, 3730?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 1. Let j(x) = -17*x**3 - x**2 + x - 6. Suppose 0 = -3*r - 5*k + 12, -r + 3*k = -5*r + 5. Determine r*j(v) + 6*z(v).\nAnswer: 23*v**3 + v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2632, 5225, 7738, 10129, 12356, 14377?\nAnswer: 16150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6577 = 5*u + 2072, -3602 = -4*x - 2*u. What is the greatest common divisor of x and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 14*g + 10. Let r = -13 + 18. Does 17 divide a(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = -r, 0 = -8*r + 5*r + 3*i + 15. Let y(s) = -s**2 + 3*s + 8. Let a be y(r). What is the closest to -0.2 in 0, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1400) + (-1*sqrt(1400)*-1 - sqrt(1400))))\/(4*sqrt(80)\/(sqrt(30)\/(sqrt(12)\/sqrt(4)))).\nAnswer: -25*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 59460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3075 = 5*b, w + 0 = 1. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 2*c**3\/3 + 8. Let f(a) = a**2. Determine f(g(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 257 - 291. Let c be (3\/32*4)\/((-51)\/b). What is x in 0*x + 1\/2*x**2 - c*x**4 - 1\/4 + 0*x**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 649 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 28*t**2 + 8*t + 5. Let q be s(4). Suppose 6*w - w + q = 0. Let y = 254 + w. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134.4 times -4\nAnswer: -537.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + r - 18, -43 = -3*p - 5*r + 1. Let c(i) = -13*i**3 - 4 + 24*i**2 - 2*i - p*i**2 + 1. Is c(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -46, -117, -198, -295, -414, -561, -742?\n\"Answer: -b**3 + b**2 - 67*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 2:06 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -410038 and 1293.\nAnswer: -408745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-9)*(-8 + (15 - 10)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*(-45)\/(-60)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 8:10 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2, 4 in increasing order.\nAnswer: -2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-1 - 2 - (-55 - -59))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 12) to base 14\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7106 or 7107?\nAnswer: 7107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (625\/25)\/5*-5?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361800211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/15 and 19\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5125*n**2 + 2562*n**2 + 2559*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -577 and 1.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 smaller than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 5*s + 152 - 140, 3 = p - 5*s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**4 + 3 - 12 + 5*o**4 wrt o.\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.28 - -11.72. Let q = 7 - u. Sort q, 4\/3, 1\/10 in descending order.\nAnswer: 4\/3, 1\/10, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-15)\/(-18)) + -41 + 6665\/150.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -411231493 * 3.\nAnswer: -1233694479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*h - 15, a - 30 = 2*h + 5*a. Let p(d) = d + 3. Let c be p(h). Find the common denominator of -97\/4 and ((-2)\/c)\/(20\/(-726)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -145*g**7\/42 - 7*g**4\/4 + g**2\/2 + 28*g. What is the third derivative of q(t) wrt t?\nAnswer: -8700*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*3481.3\nAnswer: 41775.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 times 127.2?\nAnswer: 17.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 1. Let a(i) = -7*i - 1. Let w(n) = 9*n + 2. Let o(h) = 4*a(h) + 3*w(h). What is 2*o(y) - 3*s(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/12 and 17\/2384.\nAnswer: 7152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1054565 is divided by 81.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 148 + 14 = 0. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 = -5*t, -7*x + 12*t + 99 = 16*t. Let o(r) = -7*r**3 - r**2 + 3*r + 2. What is the remainder when o(-2) is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 23 = 113. What is the remainder when u is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9984438 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1.2. Let x = -297.6 - -292.6. Let j be (1 - -3) + 23 + -17. Which is the biggest value? (a) 1 (b) o (c) j (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 21) + -1 - (-1577 - -1639).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o. Let g be x(-4). Suppose 5*y - 6 = -2*t - t, -2*t + 4*y = -g. Let w(h) = -16*h**2 + 14*h**2 + h**3 + 8*h**t + 2 + 3*h + h. Calculate w(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29580305 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-1 - (-108)\/(-52)) + 3). Which is bigger: -25 or j?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4479*l - 2. Let i(r) = 2123*r. Determine q(i(y)).\nAnswer: 9508917*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/7)\/(s\/s**3*s)*(s*(s*s**(1\/6)*s)\/s*s)\/s*s*s**(5\/3) assuming s is positive.\nAnswer: s**(257\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -19*t + 3. Let l(v) = -5*v. Give g(l(u)).\nAnswer: 95*u + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -331 (c) 5 (d) 933\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -53, -170, -319, -464, -569, -598, -515?\n\"Answer: 6*t**3 - 52*t**2 - 3*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-15360)*-72)\/((-10)\/5*51\/(-8))?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, -1\/13, 0.192 in increasing order.\nAnswer: -88, -1\/13, 0.192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/2630 and -113\/40?\nAnswer: 10520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9*-0.05\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25037, 39611, 54185, 68759, 83333?\n\"Answer: 14574*n + 10463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 1\/5 (c) -2\/9 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -148172 (base 10) in base 4?\nAnswer: -210023030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*t - 39 = 0, 6*t = -5*x + t - 235. Let f = -47 - x. Solve 2*d + 3*z - 17 = 0, -3*d + 0*d - 17 = -f*z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32659591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*o - 23*o = -3406976. Does 42 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106\/10 + ((-226)\/339)\/(6\/(-216)*-30)\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + 9 + 33 - -31.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-3)*21\/(-140)*-154*480\/704?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*d = -4*d + 1733, 2*t - 4*d + 686 = 0. Let z = 499 + t. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.742 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5332 + 1254. List the prime factors of m.\nAnswer: 2, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d. Suppose 4*s - 7 = -q - 23, -5*s = -q + 29. Suppose 3*w - i = 4, -4*w + q*i = i - 2. Let y(m) = -4*m + w*m + 0*m. Determine y(h(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2 - 150*n - 17. Calculate h(-25).\nAnswer: 1858","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 1058 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**3 + 70055*j**2 + 323819535*j + 494711910765 = 0. Calculate j.\nAnswer: -5617, -4197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**6\/6 - o**5\/5 - 5*o**4\/4 + o**3\/3 + 4*o**2 + 4*o + 26. Factor d(x).\nAnswer: (x - 2)**2*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5501.76134 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 + 9*p**2 - 9*p + 21. Let r(n) = -n**3 + 4*n**2 - 5*n + 11. Let t(a) = 3*k(a) - 5*r(a). Give t(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-52)\/(-14) - (-6)\/21. Suppose 0 = 5*v + 14 + 1, -o*r = -v + 253. Which is greater: -66 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-303660)\/(-27) + 2\/(-3). Suppose -2*x + 2051 = 5*q - 9203, 2*x = 5*q - g. Let t = q - 6677\/3. Find the common denominator of t and 46\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9648, -19289, -28880, -38397, -47816, -57113?\nAnswer: -66264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*c**6 + 18*c**5 + 19*c**4 - 64252*c**2 + 1 wrt c.\nAnswer: 1320*c**3 + 1080*c**2 + 456*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 174.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 8:37 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4 - 3*y + 11 + 13 + 4*y**2 + 2. Is u(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4004 and 99047?\nAnswer: 30506476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 6*v**2 + 3*v + 9. Give k(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, n: 9, z: 2, t: 3}. Give prob of picking 3 t and 1 n.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**8\/28 - s**6\/3 - 139*s**4\/3 + 4*s - 47. What is the third derivative of w(v) wrt v?\nAnswer: -240*v**3 - 240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9606.797t to nanograms.\nAnswer: 9606797000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + c + 3 = 0, -2*n - 4 = 5*c + 11. Suppose n = 5*j - 10, -142 = -2*z + j + 494. Let i = z + 804. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/12 and -12\/349?\nAnswer: 4188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lf when two letters picked without replacement from {f: 3, l: 1, h: 1, u: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d6460f - 0?\nAnswer: -d6460f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9699245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c**2 - 26*c - 32*c - 3*c**3 - 19*c**2.\nAnswer: -3*c**3 - 58*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 142.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jsdsxjpjjjpsj.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 14160*n**2 + 42452*n - 28296.\nAnswer: 4*(n - 3537)*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r + 1. Let k(q) = -5*q. Let v(h) = -3*k(h) + 2*s(h). Let m(o) = o - 2 - 2*o - 3*o. Let g(f) = 6*m(f) + 5*v(f). What is g(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -187+-48098189\nAnswer: -48098376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398116 is divided by 66319?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110100 + 1000111111000000011?\nAnswer: 1000111110010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1 - (2 - -3) - (13 - 7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - -6*(-3 + sqrt(1216))) + 2 - (-2 + -1*sqrt(1216) + (3*(-2*sqrt(1216) - sqrt(1216)) - sqrt(1216))))**2.\nAnswer: -4032*sqrt(19) + 394180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40441?\nAnswer: 37, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(75) - (sqrt(75) + 2)) + -3 - sqrt(75))**2 + sqrt(75) - ((1*sqrt(75))**2*4 + (sqrt(75) - ((1 + sqrt(75) + sqrt(75) + sqrt(75))*5)**2)).\nAnswer: 800*sqrt(3) + 16702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*y - 6, -5*y + 3*a = -6 + 21. Let n(k) = -4 + 0 - 3 - k - 2. Let l be n(y). Put -3, 5, l in descending order.\nAnswer: 5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3\/5 - 716*j**2 - 50446*j\/5 - 119064\/5 = 0 for j.\nAnswer: -11, -3, 1804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -3132?\nAnswer: 3142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105033*m**3 - 536*m**2 - 9*m - 2 wrt m?\nAnswer: 630198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/1048 and -55\/786.\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 341828143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - l - 38 = -4*s, 62 = 5*s - 2*l. Suppose 3*o = 2*o. Let q be 57\/21 + -2 + (-56)\/(-196). Sort s, q, o in increasing order.\nAnswer: o, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.134046872 to four dps.\nAnswer: -0.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1687\/4170 - -4\/139. Let d = 1\/30 - c. Let t = 0 - -2. What is the nearest to -2 in t, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-162)\/27)\/(-36))\/((-8)\/18).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -4, -4\/5, 1, 10, 3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/8 - 22385127*l\/4 - 22385133.\nAnswer: 3*(l - 14923422)*(l + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/18 and (0 - 33\/(-220))*(-106)\/(-42)?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4\/5 + 4*d**3\/5 - 62*d**2\/5 + 56*d\/5 = 0.\nAnswer: -7, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (43 - (-24 - (-8 + 2 + -4))).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140448 (base 9) to base 6.\nAnswer: 1500325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*b**6 - 8541*b**5 + 362978*b**2 + 2*b - 1.\nAnswer: -3360*b**3 - 512460*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466371 is divided by 1077?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -132 (base 6) to base 3\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49\/10 + -17\/5. Let u be -1*1 + (19 - 2). Suppose 5 = 3*m + 5*w + u, 2*m - 5*w - 1 = 0. Which is the biggest value? (a) 5 (b) r (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 6:44 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672706 (base 9) in base 12?\nAnswer: 3903b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 86.09487711 to 2 decimal places.\nAnswer: 86.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 14*q - 12. Let t be y(-16). Solve -3*m + 4*z + 5 = 6*z, 5*z = -m - t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 12*y - 36)*(-1 + 2 - 3).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2*f**4 + 10 + 19 - 2*f**2 to b*f**4 + h*f**3 + j*f**2 + r + n*f and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*c - 60 = 36, -210*o + c - 18 = -211*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*t + 4*f, 2*t = -3*t - 3*f + 15. Let l be 3 - (-137 - 0\/t). What is l rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184355 is divided by 113.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 279443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 113023 (base 4) in base 16?\nAnswer: 5cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -166, -396, -724, -1150, -1674, -2296?\nAnswer: -3016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000515 a multiple of 1295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -18*d**2 + 84. Let s(u) = u. Give s(w(a)).\nAnswer: -18*a**2 + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 0 + sqrt(153) + 0 + sqrt(153) + sqrt(153) + sqrt(153) + 5*(sqrt(153) + -1)*-5)*-2*-6 + 4)**2.\nAnswer: -441504*sqrt(17) + 9801376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (168\/(-87) - 0) + 2. Let s = 39\/145 - m. Which is the biggest value? (a) 2\/21 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - l, -3 = 2*x - 3*l + 8*l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1571, 1611, 1651, 1691, 1731?\n\"Answer: 40*c + 1531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5521*y = 5479*y - 1806 for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 678552 to the power of 1\/2, to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(1053) + -5) - sqrt(1053))*4 + 2)*6)**2.\nAnswer: -2213568*sqrt(13) + 30255696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8152, 8507, 8862?\n\"Answer: 355*o + 7797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -42*i**3 + 4*i - 4. Let t(q) = 2185*q**3 - 209*q + 209. Let y be 80\/(-24)*3 - (41 + -5)\/(-6). Give y*t(u) - 209*j(u).\nAnswer: 38*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j - 5. Let d(h) = -h - 2. Let r(o) = -5*d(o) + 2*w(o). Let g(l) = -2*l. What is g(r(a))?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 7569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -7, 4, -22\/13, -0.3, 0.38, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/2 - 10139*o**4\/2 - 25715035*o**3\/2 - 77084281*o**2\/2 - 38532004*o - 12842312 = 0. What is o?\nAnswer: -5068, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148 - 144. Suppose 14 = g*u - 2. Solve -b - u*t - 9 = 15, 0 = -4*b + t - 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -11. Does 3 divide 39\/(-2)*n\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from jdglt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -12, 0.127, -17, 0.3, 5\/6, -3\/4, -2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 12:44 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 2*v, 3*v - 89 = 5*s - 49 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.21312 rounded to 0 decimal places?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 0*a + 0 - 2\/105*a**7 + 0*a**6 + 0*a**4 - 2\/3*a**3 + 3*a**2 + 2\/15*a**5. Find c, given that y(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -65)\/(4\/6). Suppose -5*k + 5*h = -2313 + 578, k - 299 = 4*h. What is the greatest common factor of k and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 1. Let o(x) = 7*x**3 + 28. Calculate o(g) + 28*t(g).\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49948580 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 12:14 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 135426371099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -156447195*f**4 + 59728725 wrt f?\nAnswer: -625788780*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1189109, -1189118, -1189127?\n\"Answer: -9*p - 1189100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 - 2\/286*-433 and -50\/9.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lww when three letters picked without replacement from rllwwwwlwlwlllx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 538760 * 0.13.\nAnswer: 70038.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 137063 and 4.\nAnswer: 548252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*t = -11, 2*n - 3*t - 16 - 1 = 0. Suppose 0 = 2*o + 3 - 9, -z - 3*o = -8. Which is greater: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3894876.208725 - 8.208725. Let r = u - 3894888.39893. Let h = r + 20.4. Round h to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -211.263.\nAnswer: -211.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 171*h**2 - 2 - 70*h**2 in the form o*h + i*h**2 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1152 (b) -2\/15 (c) 7\/2 (d) 2 (e) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -21*l + 26 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*(-4)\/16)\/3. Suppose 17*p - 39 + 22 = 0. Put f, p, -4, 5 in decreasing order.\nAnswer: 5, p, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**4\/48 - o**3\/12 + 6*o - 3. Let j(u) be the first derivative of g(u). Find w, given that j(w) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 314583520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/((m*m*m**(1\/2))\/m))**(3\/40))**13)**(6\/17))**(-34) assuming m is positive.\nAnswer: m**(117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2 = 5*q, q - 4 = -6. Let j be ((-2)\/15)\/(f\/820). Let w = -217\/3 - j. Calculate the common denominator of 34\/9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128 - 128. Solve -o - 9 + 8 = z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157417.\nAnswer: 13, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < -0.0216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0 + 6. Find the third derivative of 0*f**6 - 3*f**6 + 3*f**2 - 5*f**q wrt f.\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98 + -97 - (-2 - -13 - (-6 - -9)) - -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 301000 = f. Round f to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2130384468 from 54.\nAnswer: -2130384414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 - 33*n**2 - 15*n + 25. Let l be w(-16). Which is bigger: l or 42\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmmmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**4 + 2*s + 2 + 20*s**2 - 48*s**2 + 3*s**3 + 26*s**2 in the form x*s**3 + q*s**2 + f + c*s + p*s**4 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - y**2 + 1. Let a(o) = -6*o**3 + 10*o**2 + 5*o - 4. Let z(t) = -a(t) - 5*s(t). What is the remainder when 12 is divided by z(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5211 and 3.107.\nAnswer: 1.6190577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2373649 is divided by 49?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/126*(-12 - -7).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 237*q - 235*q - 11 as z*q + b and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38670 is divided by 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15055953 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 28*v**2 - 38*v - 56. Calculate n(3).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61.4 - 62. Let n = 797\/26 - 61\/2. Put v, n, -2\/7 in increasing order.\nAnswer: v, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 58474641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-10) + 63\/(-5). Let a be 224\/12 + 6\/(-9). Let h = p + a. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 87*s + 188. Let h be w(-7). Let z = h - -456. Solve 33 - z = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 9*w**4\/4 - 21*w**3\/4 + 9*w**2\/4 + 9*w\/4 - 3\/2 = 0?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 4*x**2 - 4*x - 3. Calculate the remainder when 57\/2*-10*(-24)\/180 is divided by k(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 23 = 2*p + 7, 3*i - 4*p = -14. Suppose -5*w - i*y - 777 = 0, -531 = 5*w - y + 258. Let k = w - -281. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 154501200 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 36 = -3*p. Put 2, 1, p in increasing order.\nAnswer: 1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 1414.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exb when three letters picked without replacement from xbxdxxexx.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j + 554. What are the prime factors of j?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.9 - -12.9. Let u(v) = v**3 - 2*v**2 - 2*v + 1. Let i be u(3). Let m be (3\/6*i)\/(-13). What is the closest to 1 in 0.3, z, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 23 + 3 - 1 = 2*a, 17*a - 13*a + 12 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 8*i - 5. Let n be w(7). Suppose -3*b = n*b - 100. Suppose -4*j = -3*j - b. Solve 4*l - j = -4*h, -h - 3*l = -10 - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14805*297\nAnswer: 4397085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -223. Let r = z + 208. Put 4, 6, r in descending order.\nAnswer: 6, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -16?\nAnswer: -35\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*x + 57, 4*s - 5*x - 45 = -4*x. Suppose 3*z - 4 = s. Solve 22 = -5*k - 2*y - 0*y, 0 = z*k + y + 21 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335167416 to the power of 1\/3, to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-12)\/(-9)*(-12)\/192?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 208 - 26. Calculate the highest common divisor of 42 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 16656?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66 + -1142?\nAnswer: -1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/119 or 0.01?\nAnswer: -1\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**6\/120 + u**5\/6 + 7*u**4\/24 - 2*u**3 - 9*u**2. Give j(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*d - 7 - 9, -22 = -5*i - 2*d. Suppose -j - i*j = -20. Solve -4*z + 0*z = -j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/2)\/(-1) - -7. Let v = i - 3. Suppose 5*l + 5*d = 130, -v*l - 2*d + 35 + 42 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63 or 1231\/20?\nAnswer: 1231\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.58*7399.\nAnswer: -107877.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-14) - 80\/(-35). Suppose -4*k = j + 90 + 20, -j + i = 0. What is the tens digit of (k - -3)*(-3)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**3 - 69*a**2 + 50*a - 5. Give m(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0196 - -0.01960442. Round h to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 37 = 4*w, 5*j - 1246*w = -1244*w + 31. Solve -4*v + j = -5*f, -f + 4*v - 15 + 14 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -55, 0.1, 0.2, -3\/344 in decreasing order.\nAnswer: 3, 0.2, 0.1, -3\/344, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -f - 5*n, -43*f + n + 111 = 15*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*3*(sqrt(252) + -2) + (1 + 4 + -2 + sqrt(252))**2)*2.\nAnswer: -144*sqrt(7) + 596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 662.\nAnswer: 3310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.99 - 1.99. Let z = 5 + -8. Let q = p - z. What is the smallest value in -5, 7, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -w + 4*s - 7, -w = -4*s + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (576\/160)\/(180\/(-50) + 2 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**9*o))\/((o**11\/o)\/o))**(5\/7) assuming o is positive.\nAnswer: o**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from afkkfaakkakafakkkfk?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 98 - 26 = 0. Calculate the remainder when 140 is divided by -1 + 15 + h\/24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 201*w**2 + 1892*w + 15. Determine k(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**5\/120 + 5*h**4\/24 - h**3\/3 + h. Let t(x) be the second derivative of v(x). Is t(-7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -3*v**8\/112 - v**4\/2 - 22*v**2. Find the second derivative of b(d) wrt d.\nAnswer: -180*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**2\/7 + 844374*p\/7 + 59413954323\/7 = 0. Calculate p.\nAnswer: -140729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 447 (base 8) in base 4?\nAnswer: 10213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b - 37*b - 1 = 0. Put 0, b, 3, -14 in increasing order.\nAnswer: -14, b, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 5*d - 9. Suppose -d*h + 2 = -10. What is the units digit of 4\/8*h - -28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11794, 11780, 11762, 11740, 11714, 11684?\nAnswer: 11650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 275359*r**4 + 81*r**2 - 2*r + 37?\nAnswer: 6608616*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124 + 212. Suppose 22*r - 26*r = -z. Calculate the remainder when 107 is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90736 - 74.17?\nAnswer: -90810.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1071 and 1428.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -142261 + 142327 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 977742679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 37*w**2 - 69*w + 43. Let h be m(-35). Is h >= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 1. Let p(z) = 5*z + 11. Let a(g) = 4*c(g) + p(g). Let h be a(-5). Let l be 0 - (-1 + h\/(-1)). Solve -l*x - 1 = 4*b, 2*b = -5*x + 2*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*o + 1144. Suppose 6*p = 16826 + o. Suppose -c = -1, -2*q + 3*c + p + 1440 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4*y + 28, 82*l = 84*l - 4*y + 10. Let q(r) be the third derivative of 0 - 1\/18*r**l - 15*r**2 - 1\/180*r**5 - 1\/36*r**4 + 0*r. Factor q(t).\nAnswer: -(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1553 (base 11) to base 6\nAnswer: 13122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/259, -47, 4 in increasing order.\nAnswer: -47, 2\/259, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4\/7 - 21366*y**3\/7 - 42627*y**2 + 1044774*y\/7 - 725016\/7 = 0. Calculate y.\nAnswer: -7108, -17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2109)\/228 - (21\/4)\/7. Let b(x) = -x**3 - 10*x**2 - 4*x - 7. Determine b(v).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, u: 1}. What is prob of sequence gg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 93*z**2 + 30*z**2 - 129*z**2. Let f(v) = 5*v - 5. What is l(f(s))?\nAnswer: -150*s**2 + 300*s - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r + 1905 = 17977. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/7 (b) -3 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 65.6 + 4\nAnswer: 69.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*p + 4*a, -2*p - 3*p - 2*a = 60. Let u(n) = 23*n + 326. Let s be u(p). Factor -2\/17 + 2\/17*j**s + 0*j**2 + 4\/17*j**3 - 4\/17*j.\nAnswer: 2*(j - 1)*(j + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3645049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641 divided by 1641?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253239 and 5859?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 446860352*f + 510438453?\nAnswer: 446860352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63 + 712840.\nAnswer: 712903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1047419849 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*s - 48*s**2 - 51*s**2 - 43 - 53*s**2 + 191*s**2 - 41*s**2 as b*s**2 + n + y*s and give n.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4)*(3*a - a - 5*a) + 0*a + 2*a - a + (2 - 7 + 3)*(a + a - 4*a).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y**(-16\/5)\/y)*y*y)*y*y\/((y**(-1)\/y)\/y*y) assuming y is positive.\nAnswer: y**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23876999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -4 - (-2 - 16)) + 1. Find the second derivative of -66*o + 67*o + n*o**3 + 2*o**2 - 2*o**2 wrt o.\nAnswer: 102*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5971*t - 3580*t + 35865 = 0 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.68 + -0.75. What is the closest to 2 in 3, 1\/4, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**3\/12 - 133*d**2\/2 - 17689*d + 990. Factor h(s).\nAnswer: -(s + 266)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, c: 1, r: 1, e: 2}. What is prob of picking 3 f?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 6*n + 5. Let i be b(-5). Let t be 2\/(-20)*-6*i. Find x, given that -9 + 12*x**2 + x**4 - 2*x - 2*x**3 - 1 + t - 5*x**4 = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 67*j - 5762. Calculate q(86).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-11)*2 + 0. Suppose 2*z = -3*w - 2, 3*z + 2*w = 6*z - 23. What is the third smallest value in i, -3\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, x: 1, t: 4, l: 2, f: 2}. What is prob of picking 1 v and 3 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - 3797\/(-5) - 2\/5 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 2:03 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 greater than 196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 135*s + 3 - 10*s**2 + 69*s + 68*s + 2*s**2. Give m(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 113 = -7*b - r, b - 4*r - 7 = 0. Suppose -5*o - 5 = -y - 32, 2*o + 5*y - b = 0. Solve -g + o = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -14. Let g = -13 - -15. Suppose g*j - o = 3. Do j and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/6))**(-23\/3)*y*y\/(y\/(y\/(y*y*y**(3\/8)\/y)))*y**(-3\/10))**31)**(2\/25) assuming y is positive.\nAnswer: y**(-10633\/4500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((12\/9)\/(-4)). Suppose j*y + 2*y = 15. Suppose -12 = -y*b + 2*u, 5*b - 5*u - 12 = 2*b. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -17, 5, -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/12272 and 87\/1180.\nAnswer: 61360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((96\/(-72))\/((-20)\/(-45)))\/(49\/147)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 414.5456mg in kilograms?\nAnswer: 0.0004145456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + c**2 + 0*c - 3*c**2 + 0*c + 2*c**2 - 2*c**2 + c**2 + (2*c + c - 4*c)*(60 + 11*c - 60) to w + r*c**2 + v*c and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*v + 1279 - 4479 = 0 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 230, 341, 452, 563, 674?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/39*-2 + (-28598)\/(-2353).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = -4*k - 106. Let d be -2 - (k - 0\/(-6 - -3)). Let v = 157 - d. List the prime factors of v.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143581548*0.5\nAnswer: 71790774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4788252?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + -4 - (1 - 15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxdvhdx. What is prob of picking 1 d and 2 x?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85093471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 27529068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s - 44 - s**2 - 10*s - 3*s**2.\nAnswer: -4*s**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -6*n - 3. Let s(t) = -2*t + 5. Let j be s(6). Let u = j - n. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*i - 87*i + 4 = 0. Suppose -u = -2*y - y - 6, 3*y = 5*u - 54. Suppose x = -2*v - 6, 3*v - 3 = -5*x - u. Solve -i*b = -x*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.40511 kilometers to millimeters.\nAnswer: 96405110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhhhhcmmchcmhh. Give prob of picking 1 m and 3 h.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -28272 divided by 24\nAnswer: -1178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2682501*s**2 - 105*s + 823137983.\nAnswer: 5365002*s - 105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/238 - 1\/(14\/(-66)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t - 60 = 16*t. Solve c = 0, -2*w - 4*c = -5*c - t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -436098, -872181, -1308264?\n\"Answer: -436083*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -46 (b) 316 (c) 0.5 (d) -0.1879\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -166 - -188. Calculate the smallest common multiple of f and -5*(2\/1)\/(-1).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)\/d*d*d)**(-13\/4)\/(d\/d**(1\/4))**(4\/3) assuming d is positive.\nAnswer: d**(-47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 17000*w**2 + 523115*w - 3099480.\nAnswer: 5*(w - 3369)*(w - 23)*(w - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00529258 rounded to 5 decimal places?\nAnswer: -0.00529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24113\/10 - -11924\/5. Calculate the common denominator of 109\/864 and u.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.351 times -188\nAnswer: 65.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (-6)\/24*0*4\/20.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*w + 241 = 269, 0 = -p + 3*w + 4. Solve 5*j - 24 = -3*g, -3*j + 18*g = p*g + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9560, 19129, 28700, 38273, 47848, 57425?\nAnswer: 67004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*y - 1273 + 354, -3*y + 1843 = 2*j. Suppose 4*f - 4 = 0, -2*f = 5*o - f - 1956. Suppose o = 6*b - j. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28a + 3?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 16 = 13*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**3\/3 - 6*y**2 - 4*y - 196. Calculate i(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-52)\/(-91))\/((-2)\/3). Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 315?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 2064?\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(s + 3*s - s)*(2*s**2 + s**2 - 2*s**2).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2172741552 to the nearest integer?\nAnswer: 46613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 73*o + 788. What is z(10)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 1. Let k be o(2). Let q(j) = -6*j. Let c(f) = 14*f. Let u be (20\/25)\/(4\/30). Let r(t) = u*c(t) + 13*q(t). Determine r(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-107912)\/(-27552) - (-2 + 1 - -5)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*l - 46*l - 137347. Let f = 31692 + l. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*s + 7 = 0, -19*t - 103 = -1214*s + 1216*s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbh when three letters picked without replacement from {j: 3, b: 2, c: 1, h: 3, y: 2, p: 3}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l + 0*l - 18*l + 3*l - l + 0*l + (-4*l - 1 + 1)*(3 + 0 - 1) - 3*l + l + 0*l in the form v*l + r and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 12*x**2 - 12*x + 18. Let b be h(-13). Let y be -1 - (-6)\/(36\/7). Let i be 16\/28*((-11)\/18 + 1). What is the smallest value in y, b, 0.4, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 130949896900*p**3 + 152163777302840*p**2 - 3363943504*p + 18592.\nAnswer: 4*(p + 1162)*(180935*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*t + 620 = -119*t. Calculate the highest common divisor of t and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5153291 and 104.\nAnswer: 41226328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/7))**(-37)\/(u*(u\/u**(2\/9))\/u*u**(-5)) assuming u is positive.\nAnswer: u**(-1399\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -8 + (-7 - -14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 17. Solve 2 = a*p + 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - q = 367, -6 = -q - 11. Let a = j - -365. Solve 0 = -0*y - 3*y + b + 13, 4*y - 24 = a*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 21*z = 22304. Put 2, -1, z, 1, -4 in ascending order.\nAnswer: -4, -1, 1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-77))\/(9\/(-756))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t. Let a(w) = -691*w**2 - 691*w + 691. Let z(n) = n - 1. Let p(m) = -a(m) - 691*z(m). Calculate p(k(g)).\nAnswer: 2764*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 8. Let k = 9 + d. Suppose -2*n + 3*n - 3*z - 13 = 0, 0 = -k*n + z + 31. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8809 and 1697720.\nAnswer: 1688911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2.9. Suppose -17*o = -22*o - 10. Put i, -19, o in decreasing order.\nAnswer: i, o, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6261\/11 + 569. Which is the fourth smallest value? (a) -0.05 (b) 0.5 (c) 1 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**6\/360 + l**5\/24 - 5*l**4\/24 + 13*l**3\/2 - 34*l**2. Let b(v) be the first derivative of r(v). Give b(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*v + 19527, 90*s + 19492 = 94*s - 4*v. What is the remainder when s is divided by 66?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (-5 - (-4820)\/(-230))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g - 2*g + 4 + 11 to the form s*g + l and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g + 2. Let z(q) = -23*q + 11. Let r(x) = -29 + 1403*x**2 + 1401*x**2 - 2812*x**2 - 12*x - x**3. Let a be r(-7). Calculate a*z(b) - 34*y(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -762\/95789?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8168 - 8164. What is the highest common divisor of l and 412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64527689 to the nearest integer?\nAnswer: 8033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.516 and 0.1.\nAnswer: 2.1516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2901210 is divided by 214.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(231)*-2 - sqrt(231))\/sqrt(11))\/(-1*(sqrt(112) - -1*sqrt(112) - sqrt(112))).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119162 + 23428. Let i = 62034 + k. What is i rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 j when three letters picked without replacement from {y: 3, h: 1, i: 1, j: 3, z: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52.389316 and 0.5?\nAnswer: -26.194658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 4*g**2 + 19*g - 2. What is the units digit of b(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -242. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -14. What is the third derivative of k**2 + 24*k**5 - w*k**5 - 35*k**5 wrt k?\nAnswer: -2580*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = x + 3*d + 3761, -4*d + 1908 = 2*x. Let c be 48380\/x - ((-10)\/8)\/(-1). Let m = 29 - -1. What is the greatest common factor of m and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - t - 3 = -1, d + 3*t = -11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in -11, -5521\/17, -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -3\/8*q**6 + 0*q + 2*q**3 + 0 + 3*q**2 + 0*q**4 - 19\/20*q**5. Factor c(o).\nAnswer: -3*(o + 1)*(3*o + 2)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311656571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + t + 1 - 0, -y - 2*t = 8. Suppose 0 = -3*g + 5*l + 5, 0 = -g + 2*g - y*l. Let p be g*(-42)\/312 - 3\/(-2). Which is bigger: p or -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(12\/234 + (-40)\/(-65)). Let h(f) be the first derivative of 0*f**x + 31 - 34*f + 15\/4*f**4 + 0*f**3. What is the first derivative of h(m) wrt m?\nAnswer: 45*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s**2 - 3*s. What is the remainder when x(2) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1674 and 7495938.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*o + 21 = 0, 25 = -3*g - 2*g + 4*o. Let r = 18 + g. Let k be -46*(-55)\/22 - -4. Calculate the greatest common factor of k and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-6))\/(-2)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 6:58 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9315 + -7258. List the prime factors of u.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -2.5 (c) 0.2 (d) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 3*k - 6. Let j be r(3). Let s be (-6)\/(-4) - j\/(-12). Is (-15)\/(12\/s) + 748 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -20*c**3. Let f be z(-6). Suppose 7*l - 3233 = f. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, w: 1, p: 5}. Give prob of picking 2 p.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(20)\/sqrt(4)*5.\nAnswer: -1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/14160 and -89\/7760.\nAnswer: 1373520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1247 + -1244 - (0 + -24)) + -4\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/5)\/(n\/(n*n*n**(4\/11)*n)) assuming n is positive.\nAnswer: n**(86\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 1:11 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54572381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*d - 4997, 320*s - 322*s + 8330 = 5*d. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702.4 rounded to the nearest 10?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04008 or -564?\nAnswer: -564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s + 1 = -4*y, -5*s - 2*y - 23 = 0. Let n = -6110 + 6111. What is the smallest value in s, n, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.515819 weeks?\nAnswer: 86.657592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9534 - -9539. What is the fifth biggest value in -2, p, 3\/5, -1, 172?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 2*l - 7. Let w(v) = 2*v**2 - 3*v - 8. Calculate -3*c(u) + 2*w(u).\nAnswer: u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 12:02 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 434783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = -3*l + 1061. Suppose 5*i - l = 288. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2. Let t(d) be the first derivative of 0*d + 21 + 15\/2*d**2. What is u(t(z))?\nAnswer: 225*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 23712 divided by -494\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 30*f + 24. Calculate the remainder when 172 is divided by d(30).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5061)\/16870 + 79\/30)*(-1 + 265\/259)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a decade in months?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1190963 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - ((-60)\/(-220))\/(2*6\/172). What is the closest to -1 in 0, -3, 92, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 10:01 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2748 + 2749. Let m(w) = -w - 4. Let h(k) = -1. Determine u*m(y) - 3*h(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1090 + 40224?\nAnswer: 39134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s. Let r(y) = 597*y. Give r(d(w)).\nAnswer: -597*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + 185. Calculate the highest common factor of h and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*r - 449, 3*j + 2*r + r = 264. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.7. Let h = -4 + 4.6. Let i = -0.2 + h. Put -3, i, l in descending order.\nAnswer: i, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 5:16 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*((sqrt(405) + 0)**2*-3 + 2*sqrt(500) + 5)*-3.\nAnswer: -720*sqrt(5) + 43560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 30 = 4*h + 2, -23 = -5*h + k. Let w(t) = -h - 1 + 11*t - 14*t. Let a be ((-6)\/4)\/(1\/4). What is w(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386260138?\nAnswer: 2, 11, 59, 297581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*j + 20, -j - 2*l - 11 + 3 = 0. Suppose -2*p = -j*p - 2. Let d be p\/(-2) + 189\/14. What is the highest common divisor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-14) + (-4320)\/5376. Let n = -3.1 - -3. Sort r, n, 1\/8 in increasing order.\nAnswer: r, n, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4015183576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 = k. Suppose k*d - 3*n + 3 = 50, -d = -n - 12. Solve -z - 2*z + d = 5*m, 3*z - 8 = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416673*c + 833350*c - 5*c**3 - 416677*c.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*b, -353 = -3*s + 4*b + 260. Calculate the lowest common multiple of 6 and s.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -39*s. Let v(o) = 6*o**2. Determine t(v(g)).\nAnswer: -234*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1544684, 3089362, 4634038, 6178712?\nAnswer: 7723384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4 = 3*r - 7, 0 = 2*r - w - 15. Let g(f) = -f**3 + 7*f**2 - 5*f - 3. Let y be g(r). Solve 0 = 2*h - y*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from {k: 1, v: 2, j: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -8. Let j = 14 + v. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 - ((-169)\/(-13) + 0). Let r = 147 + -1041\/7. Sort 0.3, r, 0, w.\nAnswer: r, 0, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 2*g**2 + 1. Let v be n(-2). Let t be (-9)\/(-4) + (1 + -4)\/12. Let m(k) = -19 - k**t - 16 + 34. Determine m(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-4)*71\/213?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z. Let s(d) be the second derivative of -92*d + 0 + 0*d**2 + 0*d**3 - 21\/2*d**4. Calculate s(n(x)).\nAnswer: -126*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 147\/63*1\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 0*s**2 - s**2 - 6*s**2 - 6. Let u(m) = -m**2 - 1. Determine 6*u(p) - y(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*-6*((sqrt(245)*1 + sqrt(245))*1 + 4*-1*sqrt(245))*5)**2.\nAnswer: 7937998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v + 3. Let k(q) = -1 + 59*q + 51*q - 111*q. Let d(c) = -2*k(c) - y(c). Let t be d(-2). Sort 4, t, 3 in increasing order.\nAnswer: t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*s**2 + 20*s**3 + 5*s**2 + 14*s**2 wrt s?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639026307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1150*q + 376*q - 1252*q - 20260 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 3 + 4*u**3 - 3 + 17*u**3 + 291*u - 290*u as l*u + k*u**3 + j*u**2 + x and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777217?\nAnswer: 7, 111031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 8*o**2 - 2*o - 10. Let g be t(-8). Suppose -v - 4 = -g. Suppose -2*m = 2*m - 4*d - 1500, 1492 = 4*m - v*d. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*k + 3299, -2822 = -4*k - 3*l + 1555. Is k a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 45*a**3 + 3*a + 2*a.\nAnswer: 45*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1355.01308 - 1355. What is g rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q + 5*q + 108. Let h be ((-28)\/3)\/(-1*(-2)\/q). What is the highest common factor of h and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -390 - -389.99. Let w = -0.3 - -0.3. Let n = w - 0.2. What is the biggest value in -3, t, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 - 1637\/13. Suppose 2*l = 32*l. Which is smaller: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 31 - 25 - (-1 - 16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, o: 15}. What is prob of sequence oozz?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m + 205. Let r be s(-34). Which is the nearest to -6\/5? (a) -3\/7 (b) 4 (c) r (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v + 0*v)*(-387 + 2*v**2 - 348*v + 387).\nAnswer: -4*v**3 + 696*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -38.77. Let j = v - 4.23. Which is the second biggest value? (a) -0.1 (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1149 + -2479. Calculate the common denominator of (-6)\/15*w\/24 and -43\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 829586.\nAnswer: -7\/829586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 1938 + 942. Is o <= 575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g + 4. Suppose k - 4*k = 9. Give v(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18205517*r**3 + 29546085*r?\nAnswer: -109233102*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/6 and ((-68)\/(-64))\/(7\/(-35)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 155 + 2 + -9 + 4. Suppose -p = -2*j - 40. Let t = j + -54. Solve 2*r = 5*l + 1, 2*r = -0*l + 2*l - t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9632 and 83392?\nAnswer: 25100992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9360\/2600 + (-399)\/115?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 7*b**2 - 2*b - 7. Let u be s(-7). Suppose -u = -i - 1. Solve z - i*z - 15 = -5*c, -c = -3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680782 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31.5333 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4.363, 2\/5, -4, -0.02, -19, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1887 is divided by 176?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-4)*((-116)\/870)\/(1\/5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2018, -1\/5, -1\/20, -2\/427?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(108)*4 + -4 + sqrt(108)) + -3*(2*sqrt(192) + -2))**2.\nAnswer: -13680*sqrt(3) + 156852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 + -389758735.\nAnswer: -389758753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 1 + 4)*(-f + 0*f + 4*f)*(f**3 + f - f) as m*f**4 + z*f + s*f**2 + b*f**3 + t and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**2\/2 + 83*j - 6889\/2 = 0.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8644 times 0.164?\nAnswer: -1417.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**5 - 50*v**4 - 45*v**3 = 0. Calculate v.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2 - (58 + -53)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**5 - 11595*i**4 + 785178*i**3 - 15475558*i**2 + 72905397*i - 99697023 = 0.\nAnswer: 3, 31, 11527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 416?\nAnswer: -3\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1643\/49 + 2944\/245. Let h = o + 109\/5. Which is the biggest value? (a) 2\/15 (b) 4 (c) h (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328770?\nAnswer: 2, 3, 5, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)\/(sqrt(64)\/sqrt(8)) + (sqrt(180) - sqrt(20) - sqrt(20))*5)\/(sqrt(700)\/sqrt(7) + (-4*sqrt(196) - sqrt(196)) + sqrt(196)))**2.\nAnswer: 180\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**5*s**2 + 17*n**3*s**2 - n**2*s**2 + 103*n - s**2 wrt n.\nAnswer: -240*n**2*s**2 + 102*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37 + 4*w**2 - 37 - 3*w**4 wrt w.\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (73 - 1) + -1 - (62 + 1 + (-370 - -306))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*b - 1005 = 0, -w - 995 = 3*w - 5*b. Let d = -661 - w. Does 18 divide (-3 - -1)\/(14\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*z - 3*g = -44, 0 = 3*z + 5*g - 44. Sort 1, -1, 2, z.\nAnswer: -1, 1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 53\/11 + 2\/11. Suppose -3*p - t = -5*l + 19, -18 = -2*l + 4*p. Suppose l*x = -x + 80. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*w = 97235 + 101263, -2*z = 4*w - 79404. What is z rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 335*g + 8076. What is t(-26)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5484 a factor of 2769058056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 8*p**2 - 7*p - 6. Give f(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*m - 3900000, 0*m + m = 5*s + 780000. Round m to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1929.308836+337\nAnswer: 2266.308836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4669 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f*f\/(f\/(f**(-2\/5)\/f)))\/f)\/f*f)**22\/(f\/f**(7\/2)*f**(-5)))\/(f**(5\/4)\/f**6)**(12\/7) assuming f is positive.\nAnswer: f**(479\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 + 33768*m\/5 + 142534728\/5.\nAnswer: 2*(m + 8442)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011779885915 to 6 decimal places.\nAnswer: -0.001178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 10*w + 12. Let x be r(-9). Let f = x - 0. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 815 + 1642. Let j = 526 + g. List the prime factors of j.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 14. Let o(g) = g**3 + 8*g**2 + 8*g + 9. Let x be o(c). Sort x, 0.5, 2\/11 in descending order.\nAnswer: x, 0.5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 953 - 908 - (7 + 6 + -2 + 5).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 1\/((-4188)\/2096 + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 9:02 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -508 or -506?\nAnswer: -506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187732404 is divided by 3663.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9*d - n = -19, 3*n = -2*d + 5. Solve 10 = -d*o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 a when three letters picked without replacement from nnunaauuuuuuvnunvvv.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 61939.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.542 + 31.61. Let z = 22 - p. Let r = z - -0.0758. Round r to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 4. Let s(h) = 5 + 0 - 7*h - 98*h**2 + 99*h**2. What is s(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1500042778.\nAnswer: 2, 13, 57693953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.1 + 0.3. Let r = a - -2.205. Let i = 0.184 - r. Round i to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j + 75353 - 23649 = 0. Is j a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410991 is divided by 1226?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1513107 is divided by 5655?\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81633?\nAnswer: 3, 27211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 100388677879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 2*n + 74 - 63, 7*a = -5*n - 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 4*b**2 - 7*b - 4. Let x = -16 - -11. Let p be g(x). Let k(r) = r**2 - 8*r + 6. Determine k(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(12 + 45 - 20)*(3*j - j - 4*j)*(-4*j - j**4 + 4*j) + (2*j**3 + 0*j**3 + 0*j**3)*(-3*j**2 + 2*j**2 + 0*j**2).\nAnswer: 72*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 8*r**2 + 8*r - 3. Let x be i(7). Suppose x*b - 18 = -4*u + 2, -u = 1. What is the remainder when 21 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3)*6)\/(14\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2 = 3*r - 2*q, 3*q = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**7*d)*d**(1\/4))**(-5))**(-29) assuming d is positive.\nAnswer: d**(-3915\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462282.58 rounded to the nearest one thousand?\nAnswer: 1462000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-12)\/(-8) + -2). Suppose -1 = -j + u, -3*j + 4*u + o + 3 = 0. Let y(c) = 1 - 3*c**3 + c**3 + 2*c**2 - 2*c**2. Calculate y(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 327 = -18*a. Let l(q) = 12*q + 38. Let s be l(-3). Solve -s = -18*b + a*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 + 1279*r**2\/2 - 3208*r + 2568.\nAnswer: (r - 4)*(r - 1)*(r + 1284)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y + 2. Let l(n) = -8*n - 1. Determine 2*b(i) + 3*l(i).\nAnswer: -10*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3657*s**2 + 1716*s - 2 wrt s?\nAnswer: 7314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/312463030 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7850177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - ((5 - 0) + -5)) + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 98946, 1.\nAnswer: 1, 5, 98946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2790 - 2778 - (24 - -3 - (-3 + 6)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 + 33604*n**2\/3 - 282340805*n\/3 + 564547202\/3.\nAnswer: -(n - 16801)**2*(n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.44, -21, -3.3 in decreasing order.\nAnswer: -0.44, -3.3, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 8*n**2 - 7*n + 11. Calculate v(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.169092 to 3 decimal places.\nAnswer: -0.169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 15*c**2 + 3*c - 9. Let j(f) = 7*f**2 + f - 4. Let i(p) = 9*j(p) - 4*t(p). Find b, given that i(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 10. Let p be 274\/12 - f\/(-18). Calculate the highest common factor of p and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 200 - (3*1)\/(18\/12). Let w = r - 169. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7700.55 microseconds in seconds?\nAnswer: 0.00770055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2004 + 2023. Solve -17 = n - c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*d + 73*d - 138*d - 97*d + (4 + 1 - 2)*(-d + 2*d - 2*d) in the form l*d + p and give l.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**2 + 5*a + 11. Let v(s) = 3*s**2 - 4*s - 9. Determine 5*v(u) + 4*x(u).\nAnswer: -u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 173 - 159. Suppose 61 = -o*b + 229. Let m = -3 - -6. What is the remainder when b is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2240 - 1234. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**3 - 209672*x**2 - 2935604*x = 0.\nAnswer: -14, 0, 209686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 542187 and 47237517?\nAnswer: 4203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 61, 60, 59, 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -29.4 times 8\nAnswer: -235.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 14. Suppose 0 = -5*n + 2*q + 12 - o, -n = 5*q + 3. Suppose -3*h + 4*f = -27, -2*h - n*f - f = -18. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-4) - (-2 - -1). Suppose -3*q - r = -13. Let o be ((-11)\/(-2))\/((-1)\/2). Put o, q, -3 in decreasing order.\nAnswer: q, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-234955)\/98)\/(-137))\/(1\/(-2))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.1010135 minus -1265?\nAnswer: 1256.8989865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3699066*i**3 - 29*i + 9047 wrt i.\nAnswer: -22194396*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.63 + -830.63. Let b = 838 + o. What is the nearest to 2\/5 in b, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159\/((-2)\/(5 + -3) - -2) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (197\/((-37627)\/(-7831)))\/((-1)\/(-2))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2036 and 96?\nAnswer: 48864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 608.465 litres?\nAnswer: 608465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -98110 greater than -98084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 459.9602um in kilometers?\nAnswer: 0.0000004599602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 3*w**2 - 55 + 4*w**2 + 29 + 25. Determine s(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/5 + 474*d**2\/5 - 5664*d + 27848\/5.\nAnswer: -2*(d - 118)**2*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 68.9939 to one dp.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = -3*o + x, 135 = -2*o + 2*x - 1. Let h be 784\/12 - (-1 + 2). Let z = h + o. What is the second smallest value in 2\/13, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 7. Let i(z) = 4*z**2 + 28*z - 23. Let a(k) = k**2 + 9*k - 8. Let q(y) = -7*a(y) + 2*i(y). Calculate the lowest common multiple of q(g) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*i - 0*n - 16, 0 = 2*i + 3*n - 20. Let y be 3\/(-180)*i*20\/(-6). Factor -4\/9*q**3 + y*q**5 + 2\/9*q**4 - 4\/9*q**2 + 2\/9 + 2\/9*q.\nAnswer: 2*(q - 1)**2*(q + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 641 or 604?\nAnswer: 641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 9*i**2 - 12*i - 6. Let r be k(-7). Let h be r\/472*10\/25. Let t be ((-1)\/(-2))\/((-1)\/(-2)). Is h greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/10 of a tonne?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -42, -59, -72?\n\"Answer: 2*t**2 - 27*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*s - 2*s = 3, -a = 4*s + 6. Suppose -a*l = -98 - 274. Suppose 59*f - l*f = -357. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14214 is divided by 419.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48ddc4 (base 14) to base 2.\nAnswer: 1001100001100111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.185 and -85480.032172.\nAnswer: -85481.217172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*c + 100 = 301*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19415025.5 rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 587861 (base 9) to base 6\nAnswer: 11324431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3770733657 is divided by 1182?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c + -22?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d*n*v + 2*d*v**4 + 3*d*v - 27*n*v**4 - n*v**3 - 4*n*v wrt v?\nAnswer: 24*d*v**2 - 324*n*v**2 - 6*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83952, 84078, 84202, 84324, 84444, 84562?\nAnswer: 84678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 23*f**2 + 17*f - 3. Let d(p) = 11*p**2 + 8*p - 1. Let m(w) = -4*a(w) + 10*d(w). Find q, given that m(q) = 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**4\/4 - 2*c**3 + c**2\/2 + 6*c - 4. Let v be o(-6). Let g(r) = -r**3 + r**2 + 4. Give g(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1345773635 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i**3 + 15*i**3 + 2*i**3.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-4 + 3)) + -5 - (16 + -1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s - 15. Does 12 divide f(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.8, 3, -0.595, 7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o - 18. Let w be c(-10). Suppose -2*p = w*l + 6, -p = l - 5*p - 12. Suppose l = 7*y - 12*y + 76000. Round y to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 22, 5, -121, -3, -5 in decreasing order.\nAnswer: 56, 22, 5, -3, -5, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13021*t = 13023*t - 2*u - 14, 5*u = t - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11035 - -1587407962.\nAnswer: 1587396927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612) - (-2*sqrt(612) + sqrt(612))*-1) + -1)*-3 - (2 + -1 + sqrt(612) + sqrt(612) + 2 + sqrt(612) + 0))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106010 is divided by 5136?\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*a - 52*a + 6*a**3 - 27*a**2 + 27*a**2 + 88*a + 9*a**3.\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23714114.\nAnswer: 2, 37, 67, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -724?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**3 - y**2 + y - 1. Let t be a(1). Put -0.6, -2, t, -2\/5 in decreasing order.\nAnswer: t, -2\/5, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008325616 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 5*p - 7, p + 2*p = 4*d - 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0.1, 0.0116, -1\/3, 4 in descending order.\nAnswer: 13, 4, 0.1, 0.0116, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 15) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2226609394 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6306583\/2240 - 14076\/5. Let z = -3\/64 - s. What is the second biggest value in 0.1, 5, 0, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -3 + (6 - -3) - (43 + 4)) + 1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1782)\/(-270)*2\/(-6)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.242 take away 393080?\nAnswer: -393078.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/105)\/((-96)\/280).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5002*r**3 - 1. Let g be b(1). Let d = g + -2545510\/509. Let z = -6633\/8144 - d. Calculate the common denominator of z and -59\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**3\/3 + 112*w**2\/3 - 322*w - 360 = 0?\nAnswer: -1, 12, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623691631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 21*t + 260. Let l = 735 - 747. Let o be y(l). Let r(h) = 50*h**3 - 8*h + 8. Let w(j) = 17*j**3 - 3*j + 3. Determine o*w(q) - 3*r(q).\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -7. Let s = -28054 - -28056. Solve -3*t = -s*d + i - 2, -4*d + 4 = 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 14. Let q = 430 + -409. Let h = j + q. Sort 0, h, -5 in ascending order.\nAnswer: -5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**6\/480 + h**5\/80 - h**4\/48 - 10*h**2. Find v such that s(v) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*-3*((-12)\/(-18))\/(10\/(-15))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 11 - 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 20*o**3\/3 + 42*o**2 + 6*o - 2. What is the derivative of k(m) wrt m?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -637*k + 834*k - 985 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668123 is divided by 10122.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -57*h**3 - 2*h**2 - 4*h - 2. Let c be w(-1). Let a = c - 54. Let m(z) = -6*z + 4. Let g(v) = -5*v + 3. Let i(x) = a*m(x) - 4*g(x). Give i(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 1. Suppose 0 = -3*r + 55 - 25. Let f be (84\/98)\/(r\/14). Is f at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 2*r - 10, -4*l + l - 3*r = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 17*z - 18. Determine l(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(17)*2 + 1 + 0.\nAnswer: 6 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 - 18*x**2 - 20*x + 29. What is y(-11)?\nAnswer: 733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2517, -2527, -2539, -2553, -2569, -2587, -2607?\n\"Answer: -x**2 - 7*x - 2509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10147436 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 41 = 31 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -26822*c + 0*c**2 + 7*c**2 + 26767*c. What is i(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -4*o + 4*s + 164, 62 = -o + 2*s. Let l be (-38)\/o*-2*-94. Let j = l - 99. Is 0 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1151104 divided by 71944.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) -0.19 (c) -3 (d) 1 (e) -12\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -3\/4 (b) 17 (c) -2567\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24675874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*w + w = -31, -w = z - 8. Let r(l) = -l**3 - 3*l**2 - l + 22. Let k = -95 - -90. Let p be r(k). Calculate the highest common factor of z and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/81 - -254\/1863. Let o = -9 - -11. Suppose 0 = 2*l - 5*l + 9, -5 = -u - o*l. Which is bigger: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 8 = -12*q + 10*q, 4*q - 14 = -2*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*q*r**3 - 43*q*r**2 + 4*q*r + 165*q - 1575115*r**3 wrt q.\nAnswer: -3*r**3 - 43*r**2 + 4*r + 165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*z = -248*z + 632. Let h(w) be the second derivative of 17*w + z*w**3 + 0 + 9\/2*w**2. Find the first derivative of h(f) wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411*m**3 + 76*m**3 + 376*m**3 + 37*m**3.\nAnswer: 900*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 12 - -6 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 24 = 0, -2362 = -23*x + 21*x - 5*u. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 13. Let v be p(-8). Let f = -0.02 + -3.98. Sort f, 4, v in ascending order.\nAnswer: v, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1.9, 9, -4, -126, -1\/5, -0.02?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/7 and -89\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-5 + 2)) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 7*g + 13. Let v be r(5). Which is the closest to 2\/5? (a) -0.1 (b) 1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -2*z. Suppose -11*w + 9*w = 0. Suppose w = 4*x - 2*p + 2, x - 7 = 3*x + 5*p. Sort x, 2, z in increasing order.\nAnswer: x, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*w - 286 = 0, -4*y - 4*w = -9*y + 490. List the prime factors of y.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -17*y**2 - 8. Let c(h) = 3 - 11*h**2 + 18*h**2 - h**2. Determine 8*c(g) + 3*w(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(833)*-1 - sqrt(833) - sqrt(833)) + sqrt(833) - sqrt(833))**2.\nAnswer: 210*sqrt(17) + 7522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 2:55 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Let q be ((-36)\/(-21))\/s*7. Suppose -367 = -o + 2*m, -2*m = q*o - m - 1459. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13903 + -5?\nAnswer: 138ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 28444.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 978645611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 56*n**2 + 69*n + 152. Calculate t(-2).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1000 divided by -5.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0. Let f(u) = -u**2 - 5*u + 6. Let c be f(-6). Suppose -3*o + 2 = -7. Sort o, r, c.\nAnswer: c, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - g + 4)*(-2*g**2 + 2*g**2 - g**2) + (g + 0*g - 3*g)*(-3*g**2 + 3*g**2 - 3*g**2).\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 65.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 5*n + 15*h - 9, -3*n + 4*h + 31 = 0. Suppose 0 = 4*q - 5*x - 418, 0*q + 331 = 3*q + n*x. Is q at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2.9. Let d be 1\/2*8\/6. Suppose -4*z - 46 = -5*h - 5, 2*z - 4*h = -28. Which is the closest to -0.2? (a) d (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3*(-1)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(((-164)\/48)\/(-41)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 1077 = -4*a + 1072, -4*x + 3*a + 1 = 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62961.\nAnswer: 3, 31, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*h + 3 = 23, -6 = 2*l - 5*h. Suppose 2*y = -l*y + 108. Let z = y - 16. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoooxxxcocxxxxo. What is prob of picking 2 x?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 817 (base 10) to base 6.\nAnswer: 3441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2*(9 - 11). Suppose -135 = -d*n - 33. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-6 - (-5 + -5) - (7 - -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 80 = 4*c. What is the remainder when 95 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzzzzyzzzyzzzy. Give prob of picking 4 y.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 158, 218, 266, 296, 302?\n\"Answer: -i**3 + 67*i + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1, 4973, -2\/7, -5, 0.06 in descending order.\nAnswer: 4973, 1, 0.5, 0.06, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/18 + 380\/24. Let j = w - 7. Which is smaller: j or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 12612?\nAnswer: 12613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1 + 4 - 3*g - 2*g - 2 wrt g?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 359, 6, 4 in descending order.\nAnswer: 359, 6, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 42 - (13 - 6 - -7)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9c37 + -11?\nAnswer: 9c26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31651312 - 215?\nAnswer: -31651530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6336) + sqrt(6336)*-1*1)*1)**2 - ((sqrt(352)\/((sqrt(32) + sqrt(8) - sqrt(8)) + sqrt(8)) + -1)**2 + -5).\nAnswer: -8\/9 + 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 11 = -3*c. Let v be c\/9 + 1\/(-3). Suppose 36*l - 126 = 54. Put l, -2, 3, v in decreasing order.\nAnswer: l, 3, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 + 60*g**3 + 210*g**2 + 220*g + 75.\nAnswer: -5*(g - 15)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2315443044 - -3?\nAnswer: -2315443041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 21. Let z be j(20). Let c(g) = -11*g - 1. Let n(b) = -7*b - 1. Let h(v) = 2*c(v) - 3*n(v). Let u(i) = 3*i - 3. Determine z*u(t) + 4*h(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 + 9.8. Let k = 7 - j. What is the third biggest value in 2\/11, 1\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98367 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 l = 0.06 - -1.94. Let d(y) = -4*y**2 + 1. Let k be d(1). Let z = -5 - k. Which is the nearest to -3? (a) l (b) z (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2994*n**2 - 1 + 1.\nAnswer: 2994*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1829622.11 rounded to the nearest one hundred?\nAnswer: -1829600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**3 + 0*q**3 - 4*q**2 - 3*q**3 + 3*q + 2 - 2*q**3. Give g(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 15 - 95 = 0. Let r = 131\/6 + j. Sort -1, r, 0.1 in decreasing order.\nAnswer: 0.1, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9507*h - 25 + 25 + 30 - 30.\nAnswer: -9507*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/5 + 9*w**3\/5 - 4*w**2\/5 - 12*w\/5 = 0. What is w?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z = -16*z + 4*c - 12, 9 = -z + 3*c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85274, -341070, -767386, -1364222, -2131578?\nAnswer: -3069454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and (168\/(-32))\/(0 + (-3)\/40)?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*w**2 + 1)*(5*w + w - 2*w) + (0*w**3 + 0*w**3 - 2*w**3)*(4 - 3 - 3) as s*w + i*w**3 + u + v*w**2 and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14150 and 400.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18413 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -623 = -2*h - b, 711 + 842 = 5*h + b. Solve 20*g = h - 130 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.81 + -0.501. What is r rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 533, 1081, 1669, 2315, 3037, 3853, 4781, 5839?\n\"Answer: 3*v**3 + 2*v**2 + 521*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(((-16)\/(-4))\/(-240)). Let s be ((-3)\/(-6))\/((-1)\/(-2)). Let g be (s + (-11)\/(-1))*1. What is the highest common factor of p and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.2 - 3. Let p be 480\/14 - 4\/14. Let t = p - 100\/3. What is the fourth biggest value in t, m, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023891 divided by 1?\nAnswer: 1023891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -12840 (b) -0.2 (c) -6521 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190282176.\nAnswer: 2, 3, 7, 15731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 357294 to the power of 1\/2, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2458.2 * -0.5\nAnswer: 1229.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 99\/(-12) - 2\/(-8). Let s(u) be the second derivative of -u**4\/12 - 3*u**3\/2 - 4*u**2 + 6*u. Let j be s(q). Solve j = z - 2 - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/15*3 - (-14819)\/1015. Let b(n) = 3*n**2 - 45*n - 6. Let h be b(a). Let y(u) = -u**3 - 7*u**2 - 3*u + 3. Give y(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 93*q + 6. Let d(v) = 2*v**2. What is d(i(c))?\nAnswer: 17298*c**2 + 2232*c + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883145606.\nAnswer: 2, 7, 63081829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = i - 7, -4*i + 5*b = -3*i - 16. Let f(x) = i*x**2 + x**3 - 16*x + 45*x + 19 - 21*x. List the prime factors of f(-9).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 160836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24984 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -51. Let d = -827 - -11569\/14. Is g greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4 - -19720) + 4 + 6 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, j: 4, o: 4, p: 1, t: 6, q: 2}. Give prob of picking 2 q and 1 p.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*u + 81*u + n = 12, -3*u + 12 = -4*n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 16 - 24, 2*u - 9*i + 6 = 0. Solve 0 = l + 2*s + u, 4*l + 5*s + 40 = s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/600*918\/(-136).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**4 + 241099*c**3 + 7266271794*c**2 + 10898624132*c - 7265910152 = 0?\nAnswer: -60274, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125 or 101?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 f, and 1 u when four letters picked without replacement from {p: 3, f: 1, l: 4, k: 6, u: 2}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 smaller than 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16151415\/7733 + 2875\/703. Let k = -2082 - f. What is the common denominator of k and 87\/50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291756 is divided by 80?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from jjuwjuj?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -84*g - 22. Let c(t) = -169*t - 44. Let s(o) = 3*c(o) - 5*z(o). What is the tens digit of s(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -18. What is the least common multiple of b and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4042\/4888 - (-1)\/(-13)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1178.2 + -1179.4. What is the nearest to -1\/5 in -4, 2\/19, b, 5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kff when three letters picked without replacement from {f: 10, k: 2, e: 4}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*j**2 + 27254991*a**3*j + 87*a**2 + a*j**2 - 274415*a wrt a?\nAnswer: 6*j**2 + 163529946*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4452377 + 8904733 - 4*l - 4452356 + 32*l.\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - sqrt(931)*-1 - sqrt(931))*5 + sqrt(931) + 0)**2.\nAnswer: 33516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 4*j**6\/3 - 4*j**5\/5 - j**4 - 8. Find t such that p(t) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 6:43 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i\/(i*i**(-2\/19))*i)*i)\/(i**10*i))**(-26) assuming i is positive.\nAnswer: i**(4992\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4 + 0*d - 3*d + 0*d + d. Let v be u(-7). Let z = v + -5. Do z and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200111 - -2012021121?\nAnswer: 2020222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210102121201000 - 1?\nAnswer: -210102121201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 2021599*k\/2.\nAnswer: -k*(k - 2021599)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**17)**(-2\/7))**(5\/11) assuming b is positive.\nAnswer: b**(160\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 4*m**2 + 5*m - 4. Let w be v(3). Let i be (-90)\/160*w\/3. Let h = -41 - -35. Which is the fourth smallest value? (a) 0.4 (b) h (c) i (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m - 19*m**3 - 20*m**3 + 40*m**3 + 7*m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b**(4\/7)\/b)))\/b**(-3))\/(b*b**(-1))**(-37) assuming b is positive.\nAnswer: b**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (770\/308)\/((-5)\/28).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*245.\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -198.60108 and 805.\nAnswer: 606.39892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 80. Solve -5*u + x = 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -77 and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t**6 - 688073*t**3 + 22*t**2 - 2*t - 2344?\nAnswer: 480*t**3 - 4128438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c + 15. Let w = 7 + c. Solve w*g + 25 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*s - 442 = 816 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.5, -1\/3, -191, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 443)\/(27\/8 + -3). Suppose 54*c - 50*c - h = 0. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 6*m**2 - 2*m - 4. Let t be k(-6). Suppose -20 = 7*i - t*i. Let n(r) = -4*r**2 - 20 + 5*r**2 + i. Let u(s) = 8*s**2. What is u(n(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9821.224 weeks in microseconds?\nAnswer: 5939876275200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1017 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + v. Let w be o(4). Suppose 2*d + 60 = -24. What is the remainder when w\/d + (-640)\/(-14) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66969634 and 212.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 6338\/413?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.4 - -3.5. Put 2, -3, i in decreasing order.\nAnswer: 2, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 - 3*u**2 - 4*u - 5. Let p be d(-2). Calculate the greatest common divisor of 28 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357*i = -383*i + 3276. Calculate the highest common factor of 972 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 16. Let z = -3 - h. Suppose -2039990 = -7*q + 4*q + 5*o, -z*q + 2719996 = -2*o. Round q to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - u - 70 = -3*u, -2*p = 3*u - 41. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -206, -440, -776, -1220, -1778, -2456, -3260?\nAnswer: -4196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 712 - 684 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*s + 3*g, -g = 4*g. Calculate the remainder when 29 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -169 by -2450.\nAnswer: 169\/2450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 79 = -2*q, 0 = 870*q - 866*q - 16 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*v + 70*v + 281169 = -89*v. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a - 25. Let g be l(6). Put 2, -8, -3, g in descending order.\nAnswer: 2, g, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p + 111*p - 31851 = -35589 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 divided by -9665.\nAnswer: 184\/9665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 91444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 - 5*c**2 - 3*c**2 + (5*c - 5*c - c)*(-2*c + 2*c + c) to the form j*c**2 + n + p*c and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.016 * -511984\nAnswer: -8191.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*2\/6*(0 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pyzncww. Give prob of picking 1 c, 1 y, 1 w, and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/15 - (-51)\/60\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2687 to 2 dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*l + 102, 5*q + 3*l = -0*l - 600. Let p = -116 - q. Let h(t) = -2*t - 15. Let r be h(-10). What is the closest to r in p, 3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 5*y**2 - 5*y - 5. Let j be h(-4). Sort j, 0, -4 in descending order.\nAnswer: 0, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxwwdwd. What is prob of sequence ww?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 - 2*u**2 - 2*u**3 - 186 + 296.\nAnswer: -8*u**3 - 2*u**2 + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 6:32 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 987.809?\nAnswer: -984.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 180.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 + 58 - 188 - f**2 + 64.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -2744?\nAnswer: 2751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 967 - 125 = 0. Is n < 81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 173 + -113. Suppose 4*g - 2*g = 80. What is the highest common factor of g and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 25*h**2 + 2*h - 16. Is 38 a factor of k(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 16, 21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 48 + 24 + 24 - o**2. Let t(h) = -119*h. Give t(u(l)).\nAnswer: 238*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -48, -68, -90, -114, -140?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9169 is divided by 695.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2072725 to the power of 1\/2, to the nearest integer?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 436*a + 87. Let v(d) = 437*d + 70. What is 5*v(f) - 4*x(f)?\nAnswer: 441*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = 10*d + 661. Let x = 17 - d. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11430 times -8\nAnswer: -91440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2668 + -2654. Let l(p) = -p**3 + 16*p**2 - 30*p + 20. What is l(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 96. Let c = -83 - o. Let u be (0 + -4 - -4)*(-1)\/c. Solve u*i + 3*m = -3*i + 6, 0 = 5*i - 4*m + 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -99?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**3\/7 - 32*y**2\/7 - 4*y\/7 + 24 = 0?\nAnswer: -7, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101001 (base 2) in base 11?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 19327 = -h, 15*w - 10*w - 32200 = -4*h. What is the greatest common factor of w and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 19*h**2 + 59*h. Let v(k) = k + 1980. What is v(c(z))?\nAnswer: 19*z**2 + 59*z + 1980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (240 - 117*w - 240)*(3*w**4 - w**4 + 0*w**4).\nAnswer: -234*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (1 - 0)*(-1 - -4). Let s = h - -4. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**3\/3 - w**2\/2 - w + 69. What is y(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 13. Let b(g) = 3*g**2 + 4*g + 3. Let i(j) = -4*j**2 - 6. Let o(h) = 9*h**2 - h + 14. Let a(w) = -5*i(w) - 2*o(w). Calculate k*a(n) + 3*b(n).\nAnswer: -n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 242 (b) -27 (c) 2 (d) -1\/7 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -779*d**2 - 17*d + 67530?\nAnswer: -1558*d - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-36) + (-17)\/153*-182?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130161 and 2896839?\nAnswer: 124564077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 12:44 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in seconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22613 - -163012?\nAnswer: 140066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 - 2385\/47. Find the common denominator of c and 7\/10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2152168 or -2152172?\nAnswer: -2152168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65443578 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*c*q**3 - 5*c*q**2 - 247*c*q + 3*c + 5*q**3 + 41019*q with respect to c.\nAnswer: -47*q**3 - 5*q**2 - 247*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 i when three letters picked without replacement from {g: 2, o: 4, i: 4, y: 3, f: 1}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -69*s - 23. Is v(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 11*p - 1968 = -126*p - 6518 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((6*(sqrt(448) + -2) + -4)*-5*5)**2.\nAnswer: -960000*sqrt(7) + 10240003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22231*u**2 - 1 - 19042*u**2 - u**3 + 2*u**3.\nAnswer: u**3 + 3189*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 20 (b) -31 (c) -0.3 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2461, 4095, 5729, 7363, 8997, 10631?\nAnswer: 12265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -132.8 - -234. Let h = n + -140.16. Let v = h - -38. Round v to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -626.2, 0.1, 4.38, 0.6, 0.5, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 4 + 5 + 3*t. Let y(z) = -4*z - 1. Suppose -6*u = -5*u + 2*c - 3, -3*c + 11 = -5*u. Give u*y(s) - 2*d(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**2)\/(z**(2\/9)\/z))**27 assuming z is positive.\nAnswer: z**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13982585 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32381246.\nAnswer: 2, 1097, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525*a**2 + 1870*a**2 + 997*a**2.\nAnswer: 2342*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 777, 1093, 1397, 1683, 1945, 2177?\n\"Answer: -a**3 + 323*a + 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 - -112. Suppose c = 2*k + 1. Suppose -a = -2*s - 25, -a + 6*a - k = 3*s. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 6:01 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 30*u**2 + 171*u + 81. Determine j(35).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4*4071\nAnswer: 16284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4 - h**2 + 3 + 3*h**2 - 11 wrt h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*a + 56 = 0. Suppose 3*j + 20 = a. Let d be (-3)\/5 + (6\/10 - j). Solve 0 = d*o - 18 - 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -5, -1045 in ascending order.\nAnswer: -1045, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05736 and -2?\nAnswer: -0.11472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 25. Let v be (-16)\/(-153)*(-9)\/h. Let n be -3 + -9 + 2 + 9. Which is smaller: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -3\/4*h**4 + 6 + 0*h + 0*h**3 - 3\/2*h**2. What is the second derivative of j(v) wrt v?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 910*a - 20. Let b be r(4). What is b rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = x - 15, 5*z + 5*x - 33 = z. Suppose z*o = -o + 54. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5 = -3*z. Let r be (z + -1)*6\/8. Solve 4*y = 3*y + r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 - 158 = -179*k + 22. Let r(g) = -g - g**2 + 4 + 4*g - 2*g. Let q be r(0). Put q, -5, k, -6 in descending order.\nAnswer: q, k, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1056*a**3*b**3 - 13*a**3*b - 2*a**2*b**3 + 90*a*b**2 - 6*a wrt a?\nAnswer: 6336*b**3 - 78*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1001, 8\/21, -0.4 in decreasing order.\nAnswer: 1001, 8\/21, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 27*x - 32*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 5:48 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-208))\/(136\/(-104))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 h, and 1 t when three letters picked without replacement from stttghwgthtxsw?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 61*u**6\/2 + u**2\/2 - 37*u + 194. Find the second derivative of b(r) wrt r.\nAnswer: 3660*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -2*l**3\/3 - 2. Let x(g) = 15*g. Calculate x(c(d)).\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**5\/12 + 5*f**4\/8 - 5*f**3\/3 + 2*f**2 - 6. Let i(t) be the second derivative of z(t). Factor i(m).\nAnswer: -5*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a hour in seconds?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n + 5. Is h(-8) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 19\/2, 135021 in decreasing order.\nAnswer: 135021, 19\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 7*c - 7. Let h be -6*2\/4 - -9. Let t be l(h). Suppose -2*p - 15 = p, 4*p + 5 = 3*g. What is the third biggest value in g, t, 3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/4*(-4220)\/(-1477).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**3\/6 - 235*v**2\/2 - 1785*v\/2 - 4655\/6 = 0.\nAnswer: -133, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.6 (b) -1\/4 (c) -5\/4 (d) 16 (e) -18 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 6 = -h, -3*h - 2*z - 13 = 3*z. Let f = 11 - h. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**4\/8 - o**3\/2 - 2229*o**2. Let q = -2 - -2. Suppose -a - 15 = -4*j - 2*a, j + 5*a - 18 = q. Give w(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*f = 101*f - 110. What is the remainder when f is divided by (0 - 1 - -3) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 19*c = -54. Let h = -16 - c. Suppose 12 - 6 = h*b. Solve -5*r = 4*s + 10, -5*r + b*s - 8*s = 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -39. Let r(h) = 6*h - 11. Let f(g) = 2*g - g + 0*g - 2. Let i(z) = -22*f(z) + 4*r(z). Determine i(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 39*d - 2254. Determine v(58).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13312032230 (base 4) to base 14\nAnswer: -3b7980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -13*o. Suppose 3*i - 2374 + 2368 = 0. Let s(k) be the second derivative of 0*k**i + 0 - 1\/6*k**3 + 7*k. Give s(l(w)).\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*i**2 - 2*i + 0 + 50*i**3 - 48*i**3 + 1 + 4*i to z*i**2 + p*i**3 + f*i + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -581059*g. Let w(d) = -d**2. Calculate z(w(b)).\nAnswer: 581059*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 7*r + 2. Let h be v(7). Let i be 1 - (h - 6 - -1). Factor -10*t**3 - 20*t**i + 7*t**3 + 21*t**4.\nAnswer: t**3*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-2)\/(-10) + (-183)\/15. Let n be k\/8*2 + 1*-7. Let s be (1\/(-10)*-12)\/(4\/n). Let h(d) = -d + 2. Determine h(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/13670 and -11\/8202.\nAnswer: 41010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-4)*(-12)\/(-42). What is the fourth smallest value in s, -0.2, -4, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 547, 492, 341, 46, -441, -1168, -2183?\nAnswer: -3534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 4:46 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*d = 18, 0 = -3*u + 2*d - 6*d + 8. Let s = u - -1. Solve -4*j + k - 4 = 5*k, s*k = j - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -545*d**2 + 65930*d + 1815.\nAnswer: -5*(d - 121)*(109*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 equal to 617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/30)\/(2\/40). Solve 7*v - 2*v = m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 - 2560 = 5*h - j, 2*j - 485 = h. Let p = -379 - h. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 5 (b) 0.4 (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9040733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -9923 and -11435 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 684\/18 + 20 + (-55 - -13).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 1178?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19558069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 6:19 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 295 (b) 0.2 (c) 0 (d) 1\/4 (e) 5 (f) 273\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 30, -9\/10 in decreasing order.\nAnswer: 30, -9\/10, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f - 5*f = -54. Let u be (-12)\/(-42) + 4467\/21 + f. Calculate the greatest common divisor of 129 and u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 15. Suppose g + 3*j - 33 = -3*g, u = -5*g - 2*j + 36. What is the smallest common multiple of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-655*o + 655*o + 11*o**2)*(3*o + 6*o + 12*o).\nAnswer: 231*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -17. Let h = 6 + -8. Let k = h - p. Solve -4*g - k = 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/3, 1, 29, -0.31 in increasing order.\nAnswer: -0.31, 1, 7\/3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*b - 24*b. Let k be -3*(-1 + b + 0). Find the common denominator of -41\/4 and (1\/k)\/(7\/(-141)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*d - 5*f, -8 = -d + f - 0*f. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -176793 or -176792?\nAnswer: -176792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/4)\/k**4)**(-17)*k**7*k*k\/(k\/((k*k**(-7))\/k))*(k**(2\/5))**(-9) assuming k is positive.\nAnswer: k**(1053\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/7 + 231106*n\/7 + 59952360\/7 = 0. What is n?\nAnswer: -115293, -260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1)\/3*3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 33*d - 35*d. Put d, 2, 4, -1 in decreasing order.\nAnswer: 4, 2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -430096, -144 in descending order.\nAnswer: -3, -144, -430096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 187700288 less than 411?\nAnswer: -187699877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*h - 159, 4*q + 51 = -3*h + 282. Suppose 2*m - h = -m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -292360.025 to the nearest one hundred.\nAnswer: -292400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + 3. Suppose 2*x - v - 28 = 0. Suppose 4*o - 78 = -18. What is the remainder when x is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 107.05?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1\/3, 0.2, 731, 411.\nAnswer: -2\/3, 0.2, 1\/3, 411, 731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-9))\/s*s**12\/s*s assuming s is positive.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 7:47 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.27834 bigger than 1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1170 + -1733. Let l = -817 - b. Is (-12)\/(-9) + l\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 f when three letters picked without replacement from {b: 3, d: 9, f: 7}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02 + 4.98. Let z = -5.086 - -2.086. Which is the closest to -0.2? (a) 2 (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9903141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/5? (a) -6032 (b) -5 (c) -2\/9 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -1 (c) -0.02 (d) 32\/13 (e) 4 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/4 (b) 6 (c) 1\/2 (d) 11\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4\/3)\/(t**(-2\/29)\/t*t)*t**(1\/6)\/t*t**1 assuming t is positive.\nAnswer: t**(-191\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-2 + sqrt(605))**2 - (3*(sqrt(5) - sqrt(20)) - sqrt(5))**2.\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 47. Suppose 1 - 10 = -v. Let d be 16\/24*v\/(-2). Sort f, d, 4 in increasing order.\nAnswer: d, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -48a + 98361?\nAnswer: 97a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2 - 18 + 1 = 2*h, 1580 = -h - 93*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 746.32199 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*(4*-1 + 48\/(-64)*-1812)?\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 10. Let d be b(4). Let i be (-6)\/(-3) - (-3)\/(-3). Let f(y) = -i - 2*y**2 + y**2 + 0. Let l(a) = 8*a**2 + 8. Calculate d*f(g) + 2*l(g).\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtgjgxcmjtgxggcxxxcg. Give prob of sequence gmc.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3850250*n - 3850354*n = -3640 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -63. Suppose 0*k + d = 2*k. Calculate the remainder when k is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4151135 is divided by 223?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 160, 338, 506, 658, 788, 890, 958, 986?\n\"Answer: -c**3 + c**2 + 182*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 49040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2058 and 374682.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2382.9 + -2383. What is the nearest to g in 2\/1691, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11191 - 78382\/7. Calculate the common denominator of x and -57\/6875.\nAnswer: 48125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/3)*b)\/((b\/b**5)\/b))**(-3\/4)*(((b*b\/(b*b**(3\/4)))\/b)\/b**(-2\/5))\/(b**(-6)\/b*((b**(-1\/6)*b)\/b)\/b*b) assuming b is positive.\nAnswer: b**(169\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 4*b**2 + 6*b + 1. Calculate the remainder when 7 is divided by i(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1644 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - w - 8396 = 0, 0 = -z + 3*w - 5*w + 2090. Does 63 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114317846 divided by 6646.\nAnswer: 17201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 229 = 5*s, -2*o = 1641*s - 1640*s - 33 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 divided by -57?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 11712 and 199080\/17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -709 less than or equal to 361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 67*k**2 + 6*k - 36. Let i(c) = 202*c**2 + 17*c - 107. Let x(u) = -6*i(u) + 17*t(u). Differentiate x(p) wrt p.\nAnswer: -146*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 1. Let o be b(-1). Let i be 6\/((-10)\/(-8) + -4 + 2). Let y(j) = -2*j**2 - 20*j - 28. Let v be y(i). Solve v*h - 6 = o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 7. Let h(b) = -b**2. Give u(h(g)).\nAnswer: g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kukkkkkukuuuuukk. Give prob of picking 4 u.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*u + 368196 = -40808 - 17212. Is 105 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 15. Solve -v*t - 5 + 21 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1. Let i = 3 - 2. Let u(v) = 3*v + 5. Let o(b) = i*u(b) + 5*h(b). Let t(z) = 2*z - 5. Let m(j) = 2*j - 6. Let w(r) = -5*m(r) + 6*t(r). Give w(o(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 12:17 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 2:40 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zazaazz. What is prob of picking 3 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3432)\/416*(-4)\/(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62244 - 0.0402562.\nAnswer: -62244.0402562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*y - 18*y - 10*y**2 + (2 + 0 + 1)*(2*y**2 + 4*y - 4*y + (y**2 + y**2 + 0*y**2)*(-4 + 6 - 4)) as s*y**2 + o + m*y and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -319.1 - 192671553982?\nAnswer: -192671554301.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 473950.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/7, 0.08, 1\/12, -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2393, -4784, -7175, -9566, -11957?\n\"Answer: -2391*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4 + 1.2. Suppose w + 5 = -2. Let z = 8 + w. Which is the closest to z? (a) 1\/5 (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-110)\/(-440))\/((-189)\/(-2352)). Find t such that 2\/9*t**2 + 0 - y*t = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, t: 5, k: 7, j: 1, v: 1}. Give prob of sequence kkv.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 70192, 140501, 210812, 281125?\n\"Answer: b**2 + 70306*b - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - -322*(-134)\/(-116). Let s = 18048 + -18421. Let w = r + s. What is the closest to 1 in -3, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b + 4*s + 15 = 0, 5*s = 2*b - 27. What is the least common multiple of 31 and 0 + ((-6)\/(-3) + 0)*b?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 8, w: 4}. Give prob of picking 2 w.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 + 5 = 0. Let r(d) be the second derivative of d**3\/6 + 4*d**2 + 3822*d. What is r(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(-2 - 1 + 1)*(-4 + 3 - 4)*(3*j**3 - j + 0 + 0)*(-244*j - 13*j + 33*j) in the form l + x*j + t*j**2 + d*j**4 + c*j**3 and give t.\nAnswer: 4480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-3)*(3 - 2). Let w be q + (3 - 3\/(-1) - 5). Factor -1\/4*m + 1\/2*m**2 + 0 - 1\/4*m**w.\nAnswer: -m*(m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j**3 - j**2 - 2*j + 2. Let t be c(1). Suppose 4*i - 6*i - 3*z = 11, -3*z = 4*i + t. Factor -8\/5*v**3 + 8\/5*v**4 + 2\/5*v**i + 0 + 0*v.\nAnswer: 2*v**2*(2*v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.08 and 278.99?\nAnswer: 278.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4015944 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(24\/260) + -4\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 113?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 56. Suppose d - s = 2*z - 0, -3 = -z - d. Suppose 0 = 2*j + 4, -3*i + 241 = -z*j + j. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9433174*r**3 + 2*r**2 - 195*r - 3625?\nAnswer: -56599044*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/8 - 866\/535. Let f = o + 2\/107. Which is bigger: -3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.92488603 take away -0.16?\nAnswer: -115.76488603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -54. Let a = -4 + x. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 14 + 5 = 5*l, 5*w + 5*l = 5. Suppose 2*d - w*m - 12 = 0, -6*d + 4*d = 3*m + 8. Let p(u) = -2*u**d + 3 - 1 - 2. Let q(a) = -2*a. Determine q(p(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.6 (b) -0.06 (c) -83 (d) -1\/5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 3482.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10266 and 1914.\nAnswer: 112926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6175 + 6180. Let s = 5 - 3. Suppose k + s*k = 18. Sort k, j, 4.\nAnswer: 4, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1200 is divided by 412?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9260*b - 239*b**2 + 711*b**2 + 4590*b + 4670*b.\nAnswer: 472*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/5 + 3477784*w**4\/5 - 3023745387664*w**3\/5.\nAnswer: -w**3*(w - 1738892)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -173, -400, -725, -1196, -1861, -2768?\n\"Answer: -8*w**3 - w**2 - 168*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 = 0, -142*v = -137*v + 3*d - 2039. Are 406 and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5720 is divided by 260.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 35391.13 times 0.5\nAnswer: 17695.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 20 = -5*o, 0 = j - 5*o + 6 - 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 474 and 395.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2047748 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152*x + 224*x + 157*x - 44*x + 130*x to i + b*x and give b.\nAnswer: 619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -55*q + 45. Let j be ((2\/2)\/(-3))\/(62\/(-744)). Let u(z) = -5*z + 4. What is j*v(a) - 45*u(a)?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1817 - 8*t - 1818 + 3635.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q**2 + q + 6563428772 - q - 6563428772.\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 3587?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1200.4128457 to the nearest 10.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o**5\/3 + 110*o**4\/3 - 476*o**3\/3 + 198*o**2 + 60*o = 0 for o.\nAnswer: -1\/4, 0, 3, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*((-1798)\/20 + -3 + -2). Let j = 190 + p. What is the third smallest value in -5, -2\/23, -3\/5, j?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 214, 1613, 5354, 12607, 24542?\n\"Answer: 195*k**3 + k**2 + 31*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 15*u - 278201. Calculate i(-520).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-554)\/7756)\/(4\/7)*-1*3\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/7 - 230*n\/7 + 3048\/7.\nAnswer: -2*(n - 12)*(n + 127)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2044*q**2 - 4484*q**2 + 2202*q**2.\nAnswer: -238*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 192 + -198. Is -14 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 833947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f = 18285 + 14854. Does 36 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21406 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 12 = -23. Let w(k) = -k**2 - 6*k + 9. Let o be w(g). Solve -c**5 + 4*c**2 - 2*c**4 - 2*c**o + 0*c**2 + c**3 + 0*c**3 = 0 for c.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9007?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -926, -928, -930, -932, -934?\nAnswer: -936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from nkknkkkn?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4286923?\nAnswer: 4286923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 95*y. Let k(i) = -11*i. What is c(k(d))?\nAnswer: -1045*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4.4, -2\/71899, -0.5, -1, -7, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, -2\/3, -2\/5, 0.3, 3\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -530*x - 9009 = -614*x - 7*x for x.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -95 + 5.3.\nAnswer: -89.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3\/4)*-24 + (-16 - (-17 + 14))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6336))\/(sqrt(28)\/sqrt(112)).\nAnswer: -48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 2*k - k**3 + 4*k**3 - 5*k**3 + 3*k**3 - 2*k + 2*k - k**3 + (-4*k + 0*k + k)*(-k**2 - 2*k + 2*k) - 6*k**3 + 5*k**3 + 2*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 136\/6*(-3)\/2. Suppose -5*b = -0*b + 3*h - 320, 0 = h - 5. Let n = s + b. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*n + 31*n + 33*n + 9)*(0*n**3 + 4*n**3 - 2*n**3).\nAnswer: -4*n**4 + 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50408518*x**4 - 921*x**2 + 1854*x + 6 wrt x?\nAnswer: -1209804432*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 39 + 27 = 3*x, 4*v - 9 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*x + 2, 0 = 2*z - 2*x - 15 + 1. Let j = 0.2 + -0.73. Let h = 0.07 - j. What is the closest to h in 0.2, z, 1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) 0.3 (c) -0.1 (d) -243 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5287 - -52?\nAnswer: 5350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3279366 by 81.\nAnswer: -40486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10782 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**3 - 3*b + 9. Let c = 1638 - 1642. Let k(n) = 2*n**3 - 2*n + 9. What is c*k(x) + 3*t(x)?\nAnswer: x**3 - x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -394 from 43.\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19757 + 2*r + 19369 - 5*r to h + k*r and give h.\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 8*p - 4. Let w be j(6). Suppose 6*c - 2*c = w. Let i(m) = m - c*m - 4*m. Let b(y) = -2*y. Give i(b(z)).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.099 - 3.901. Let j = -153.3 - -153. Which is the closest to j? (a) -0.2 (b) -3\/4 (c) -3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 5*v**3\/2 - 7*v**2\/2 + 4*v. Let m be 120\/9 + 28\/(-12) + 2. Let t(i) = 7*i - 3. Determine m*t(p) - 6*w(p).\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 5*s**2 + s. Let v be w(5). Suppose 78*p - 50517 + 10503 = 0. Let r = p + -508. Solve v + 0 = r*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-60)\/(-40))\/(2\/4). Solve 0 = s*j - 2 - 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 26. Suppose 0*k + 2*i = k - 10, -i = 5*k - 105. What is the remainder when k is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -131.967 and -2722996106?\nAnswer: 2722995974.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.1*-59971.\nAnswer: 365823.1","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49490 and 20.\nAnswer: 98980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfl when three letters picked without replacement from gjjjfejjljjjjejjjef?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 281377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(-48*s**2 + 390 - 390)*(-4 - 2 + 7).\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s - 12. Let k = -14 + 13. Put s, k, -19 in increasing order.\nAnswer: -19, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105273 (base 8) to base 7.\nAnswer: 205354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 13*z + 15*z - 27*z. Let c(k) be the third derivative of 0*k + 0 + 0*k**3 - 1\/30*k**5 - 5*k**2 + 0*k**4. What is g(c(t))?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10375 - 3400?\nAnswer: -13775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 l, and 1 u when three letters picked without replacement from {x: 3, l: 1, o: 4, d: 1, u: 4}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4400\/33)\/40*-9.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 - -2.4. Let c be (3 - (-42)\/(-18))\/((-2)\/(-3)). Let k be c\/(-2)*9\/(-18). What is the third biggest value in 2\/9, k, b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 10*i - 36. Give p(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 11934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4284593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -4 + 40. Let f(r) = 7*r - 3. Let t be f(w). What is the greatest common factor of t and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 + 2)*(4 - 4 + k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 172686 + -172686.000080973. Round h to six decimal places.\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 9980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*w + 507, 0 = 7*w - 2*w - 4*f - 1235. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 15475544.91s?\nAnswer: 25.587871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5403, -5400, -5397?\nAnswer: -5394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/27971, 268 in increasing order.\nAnswer: 1\/27971, 2, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 0*k - k + (3 - 3 + 2)*(-k + 3*k - k) + 6*k + 2*k - 2*k - 2*k + 12 + 0*k - 15)*(k**2 - 7*k**2 + 3*k**2) as t*k**3 + m*k + q + g*k**2 and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -15*w - 9. Let l(r) = 7*r + 4. Let z be 1\/(-2)*1*(-4 - 4). Determine z*h(o) + 9*l(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1339813*m - 494146?\nAnswer: 1339813","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07716 * 24.\nAnswer: 1.85184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -2. Sort r, 2, 7 in increasing order.\nAnswer: 2, r, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g = -21*g - 5*s + 7, -s = 5*g - 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 5*s + 3. Calculate b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/4 + (-556)\/(-16). Let n = f - 20. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14844*j**4 - 1522*j?\nAnswer: -178128*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*t + 131, 2*b + 4*t = b + 143. Let p = -197 + b. Let q = p - -99. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 43?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 7:50 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-20) - 12\/16. Let x be v*(-2)\/(-2) - (7 + -9). Let r be x\/(5\/(-250)*2). Round r to zero decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 37*t. Let u(i) = 445*i**2. Let k(v) = 3992*v**2. Let w(l) = 3*k(l) - 28*u(l). Determine h(w(c)).\nAnswer: -17908*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49156039 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + 3 - 3 + 2*w**2 - w**2 - 2*w**2 + (-2 + 2 + 2*w)*(2*w + w - w) + 3 - 3 - 3*w**2 + 7*w**2 + w**2 - 3*w**2 to k*w + v + b*w**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 - 57*n**2 + 587*n - 10. Determine h(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, r: 2, k: 4, a: 1}. What is prob of sequence tt?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3923004 and 304371?\nAnswer: 35307036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**5 + 3*i**5 + 0*i**5)*(5 - 4 + 4 + 0 + 0 - 2 + (0 - 3 + 2)*(-4 - 4 + 6) + 3 + 1 - 6)*(0 - 5 + 1) + (3*i - 3*i - 3*i**3)*(-2 + 2 - i**2).\nAnswer: -21*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5, 80 = 5*c - 0*c + 5*v. Suppose -25*h + c*h + 8 = 0. Let f(r) be the third derivative of -r**5\/20 + r**4\/6 - r**3\/3 - r**2. Give f(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**5\/120 + 23*l**4\/24 - 47*l**3\/12 - 295*l**2. Find w, given that i(w) = 0.\nAnswer: -47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -12. Suppose -2*u + g*a + 44 = 4*a, u + a - 20 = 0. Let r = 34 - u. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 3878?\nAnswer: 3878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4398 and 19218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/7128 and 14\/33.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.15248139768 - -0.322\nAnswer: 0.16951860232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j + 16. Suppose 2*c - j*c = -18. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-1232)\/538) + 760\/(-836).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.3697 to one decimal place.\nAnswer: 50.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149451 - w**2 - 149451 + 20*w**3 - 7*w**2 + 5*w**2.\nAnswer: 20*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 5*k**2 + 6*k - 12. Give r(7).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = -13*f + 8. Let j(r) = -r**3 - 4*r**2 + r - 2. Determine j(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from {p: 1, e: 1, g: 3, w: 1, f: 5}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/7)*b*(b\/b**3)\/b)\/(b**3)**(-13) assuming b is positive.\nAnswer: b**(258\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45720.88 tonnes to nanograms.\nAnswer: 45720880000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(1029\/(-791)) - (-2)\/3. Which is smaller: x or -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -3.4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 9 = -4*y. Let k(q) = -q**2 + 13*q - 5. Let z be k(y). Let m = z + -12. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 times 8\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/3)\/(-2))\/(434\/(-7161))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-6)\/(-66))*62 - (91\/(-7) + 7)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2*k + 3 - 19, 5*k + 24 = 2*v. Calculate the remainder when ((-12)\/2 - -6) + 9 + v is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**10\/x)\/(x\/x**(-5)*x*x) assuming x is positive.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + m + 1)*(-2*m**2 - 5*m + 5*m) + 0 + 2*m**3 - 4*m**3 + 2.\nAnswer: -4*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 5170?\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-101 - (3 - 3))\/42 and 63\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 11.4. Let d(r) = -3*r + 1. Let y be d(-2). Let l = y + -10. Sort l, 0, z.\nAnswer: l, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 35. Suppose f*i - 2*b - 2*b - 1330 = 0, 9 = 3*b. Does 46 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 88, -1008 in decreasing order.\nAnswer: 88, -13, -1008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26419 (base 10) to base 15.\nAnswer: -7c64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696842287?\nAnswer: 696842287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3662425 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 3) + (190 - -1) + 1. Is 27 a factor of (x\/(-84))\/((-6)\/160)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001545 rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*8\/(-1*2). Let w(o) = 2*o**2 + 3*o - 5. Suppose 0 = 4*t - 8 - 0. Let u(a) = -2*a + 6 - 2*a**2 - t*a + 0*a. Give d*w(b) - 3*u(b).\nAnswer: -2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005599555 to seven decimal places.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6660114?\nAnswer: 2, 3, 1110019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**4 + 3*o**4 + 55*o**5 + 56*o**2 - 26*o**2 - 429*o - 32*o**2 wrt o.\nAnswer: 1100*o**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183.16506 months to millennia.\nAnswer: 0.015263755","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 92*s**3 - 21*s**2 - 11*s + 5. What is the hundreds digit of z(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 4. Let p = 10 + -3. Suppose 4*x + 7 = -q, -5*q + 5*x + 1 - 11 = 0. Let z(a) = 2*a + 9. Calculate p*y(u) + q*z(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.7 - -13. Sort 0, g, -12 in descending order.\nAnswer: g, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6423, 5, -2\/9 in decreasing order.\nAnswer: 5, -2\/9, -2.6423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((84\/(-4))\/(-3)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3256*a. Let i(j) = 25*j. Determine i(r(q)).\nAnswer: -81400*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*b**2)*(-13 + 152 - 68)*(0 + 0 + b**2) in the form z*b**4 + w*b**3 + g*b + f*b**2 + h and give z.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.5 + -10. Let g = 3.8 - l. Let c = -1.08 + g. Round c to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 2. Let g be n(6). Let y(t) = -t**3 - 3*t + g - 4*t**2 + 10*t - t. Calculate y(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9813 + -5695. What are the prime factors of y?\nAnswer: 2, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 s, and 1 b when four letters picked without replacement from {m: 1, q: 1, h: 4, b: 1, s: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 8*a**2 - 10*a - 5. Let y be l(-9). Suppose y*w - 61 = p, -w + 5*p = 6*p - 14. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 394632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**2 + 6*y + 10. Let x = -11 + 12. Let q(n) = -1. Let c(j) = x*l(j) + 6*q(j). Let d(p) = 3*p. Give c(d(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 1182995 - 1182995. Let m(n) = 7*n**2 - 84 + 87 - 4*n**2. What is y(m(a))?\nAnswer: 9*a**4 + 18*a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82798.\nAnswer: 2, 41399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w - 9 + 46*w**2 + w**3 - 50*w**2 + w**2 + 7*w**2 + 5*w**2. Give v(-6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-208)\/(-65)*(-2)\/(-4)*-215. Let j = -342 - n. Solve -3*h - 5 = j*p, -2*p - h = h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**5\/4 + 54875*z**4\/4 - 4477635*z**3\/4 + 125451065*z**2\/4 - 346245200*z + 1308521625 = 0.\nAnswer: 10, 31, 10893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 13) + (75 - 58)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332359629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 323499248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 3*l)*(0*l**3 - 4*l**3 + 2*l**3) + (-3*l + 6*l - l)*(-6534*l**3 + 2 - 2 + 9954*l**3).\nAnswer: 6836*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633506218?\nAnswer: 2, 29, 10922521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 17. Suppose n*g = g - 9. Let f = g + -10. Which is the third smallest value? (a) 0 (b) f (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 8. Suppose -5*y = 5*w - 5, -i*y + 4*y = -4*w + 12. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591*k - 49531 = -83809 for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by (-25)\/(-9) + (100\/(-45))\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-8 + 3\/1) - 6929\/1066.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/4)\/o*o*o**(3\/5))\/(o**(-5\/2)*o\/o**(2\/5))*(o*o*o**(-1\/8)*o*o\/(o\/(o**13\/o))*o)**(-5\/7) assuming o is positive.\nAnswer: o**(-565\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -519 + -126822495636\nAnswer: -126822496155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 13005*b - 1188*b - 1423*b - 1148*b.\nAnswer: -16764*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1.4. Let h = n + 0.59985. Let i = h - 0. Round i to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18462 divided by 6154\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 69940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 43 = 259. Suppose -2*s - 2*x = -u, -79 = -s - 4*x - 13. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 6\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbqwolv. Give prob of picking 1 o, 1 q, and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402465 = 58*h - 177303. What are the prime factors of h?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -11. Solve -3 = -5*n - s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -450, -452, -464, -492, -542, -620, -732, -884?\nAnswer: -1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 10*k - 12*k)*(k**3 + 2 - 2) + (-2*k**2 - 3*k**2 + 3*k**2 + (-4*k**2 + 5*k**2 - 8*k**2)*(-1 + 0 + 0))*(-3*k**2 + 3*k**2 + k**2).\nAnswer: -13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -216ab (base 12) to base 11\nAnswer: -30228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3292 smaller than 3246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 5*b**2 + 8*b - 7. Let j be v(6). Suppose 5*w + 2 + 3 = 5*i, -5*i = 2*w - j. Let u = 6 - w. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (10 + -5)) + 70 + -55 + 28.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.1, -3, -621?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**4 + 3*j**4 - 4*j**4 + 772*j**2 + 3*j**4 - 4*j**4 - 807*j**2 + (-3 + 3 + 2*j)*(3*j**3 + 0*j**3 - 4*j**3) + 0*j**2 + 0*j**2 - 4*j**4.\nAnswer: -2*j**4 - 35*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -981 divided by -78?\nAnswer: 327\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15826177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 77*u + 2310. Let x be r(-30). Solve 5*l + x = i + 3, -4 = -2*i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -36*n**3 + 2*n**2 + 10*n + 9. Determine w(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 187287 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (42 + -23) - -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -53, -0.06, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 4*a**2 - 2*a**2 + (2*a + 4*a + 0*a)*(0 + 0 + 2*a).\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.11 - 0.11. Let p = j + -20. Let v = 12.1 + p. Is 5 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - 31 - 16 - -31?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 26\/9, 3, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206825078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i**(2\/11))\/((i**(1\/4)*i)\/i**(-2\/7)) assuming i is positive.\nAnswer: i**(-417\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2761 + 2766. Let m(n) be the second derivative of 0*n**3 + 0 + 6*n + 0*n**2 + 1\/6*n**4 - 3\/20*n**x. Factor m(b).\nAnswer: -b**2*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(1\/2))**(1\/5)\/(((v*v**(-6\/11))\/v)\/(v**(-2\/21)\/v*v*v))*(v**0)**(5\/11)\/(v\/((v\/v**0)\/v))**9 assuming v is positive.\nAnswer: v**(-16747\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 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: Which is the fourth smallest value? (a) 0.1 (b) 3\/8 (c) 3\/5 (d) -76\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 170*y**2 - 181. Let x(s) = -339*s**2 + 360. Let g(k) = -7*h(k) - 4*x(k). Find the first derivative of g(m) wrt m.\nAnswer: 332*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzrrrrrrz. Give prob of sequence zr.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 254690769?\nAnswer: -254690774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4\/19 - 18362*m**3\/19 + 3864*m**2 = 0. Calculate m.\nAnswer: 0, 4, 9177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16600\/9241 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 495286087?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u**2 + 1. Let f be (-8)\/(-2)*(-5577)\/3380 - (-6)\/10. Let k(i) = -1 + 14*i**2 - 2*i**2 - 4*i**2. Determine f*k(d) - 7*q(d).\nAnswer: d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 1.2174, -1 in descending order.\nAnswer: 6, 1.2174, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 87*a**2 + 784*a + 326. Give f(95).\nAnswer: 2606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 808 divided by -202.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19226 is divided by 3216?\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0)*127280\/6880.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -144, 43, 1\/4 in decreasing order.\nAnswer: 57, 43, 1\/4, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -110, 11, -2.\nAnswer: -110, -2, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-17 + -6 - -26)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11074 + 11078. Solve 0 = 3*p - 5*j + 4, -l*j = -2*p - 8*j - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 32 (b) 5 (c) 9 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -1) + (177 - 31 - 103)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.6 + -25.4. Let u = -27 - z. Which is the third smallest value? (a) 1 (b) u (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -63. Let y be (12\/(-4) + 2)*-1. Let b be -2 + (2\/y - -8). Solve 4*h - b = r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2 + 12*d*i**2*x**3 - 72*d*i**2 + 2*i**2*x + 144*x**3 with respect to d.\nAnswer: 2*d + 12*i**2*x**3 - 72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2315*n + 2315*n + 156 + 10*n**2 to d*n**2 + q + a*n and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(-2\/3)*j))*j)\/(j\/(j\/j**(2\/13))*j))\/(j\/j**(1\/5))**10 assuming j is positive.\nAnswer: j**(-305\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((3 - 0) + 34 + -31 + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1590 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*b + 50, -3*w + 21 = 2*b - 16. Let h be ((-17)\/4)\/(486\/(-120) - -4). Calculate the greatest common factor of b and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j + 118601 = 5*b - 7644, 2*b + 4*j - 50486 = 0. What are the prime factors of b?\nAnswer: 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -558*r + 1617*r - 514*r - 548*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 283*d + 2468. Give u(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 221*a**2 - 102*a - 15. Let d be m(-43). What is d rounded to the nearest ten thousand?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 126892 + 391765. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -2, 6, 5 in increasing order.\nAnswer: -2, 5, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-208 + 73 + 114 - 333)*(4*s + 0*s - 5*s).\nAnswer: 354*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1032)\/(-3612))\/(4\/(-63))*(-116)\/(-108).\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*z + 256*z = -280*z - 616 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-1 - -7 - -2) + -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*w + 1. Let d be (-64)\/3*w*(-15)\/(-6). Suppose 0 = -3*l + l + 64. What is the greatest common divisor of l and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988 is divided by 2 + 0 - (-292 + 194)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390582 divided by 162.\nAnswer: -2411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 76 - 44 - 64 + 2*w. Let p be u(22). Suppose -20 = 8*l + p. Which is the nearest to 0? (a) -0.5 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -94\nAnswer: 11\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 7*q - 13. Determine u(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.17*1057876\nAnswer: -179838.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 9) + 1 + 4 + -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - m**2 - m + 7. Give p(4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 6*y - 2\/3*y**3 - 2*y**2 + 11. Let b(h) = 0. What is h?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -6*p**3\/7 - 10404*p**2\/7 + 906414*p\/7 + 2812716\/7 = 0.\nAnswer: -1817, -3, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 132802179 and 0.115.\nAnswer: 132802179.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtttdttttttttdt. What is prob of sequence ddtd?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*p + 72*p**2 + 12*p + 139*p + 136*p wrt p.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -106, -89, 11.\nAnswer: -106, -89, 1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**5 + 799*p**4 + 7*p**3 + p**2 + 99*p + 90 wrt p.\nAnswer: 60*p**3 + 9588*p**2 + 42*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(2*4))\/((-1065)\/(-568)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**3 - 2*o**2 + 11*o - 21. Determine f(3).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11450 - 5?\nAnswer: -11455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 5*f - 3. Let t be u(2). Suppose -1 = -2*x - t. Which is the second smallest value? (a) -5 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}