diff --git "a/data/dm_maths/full_data/1353_11255.jsonl" "b/data/dm_maths/full_data/1353_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1353_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let h = -2\/15 - 16\/105. Which is the nearest to h? (a) 0.2 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 8. Let z be a(4). Suppose -4*b + 44 = z. Calculate the highest common factor of b and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*i + 16 = -36, i - 4 = 0. Let f = 40 - x. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n. Let z(r) = -r. Let d(a) = a**3 + 4*a**2 - 4. Let s be d(-4). Let o(i) = 5*i - 2*i - 3*i + i. Let g(y) = s*o(y) - 3*z(y). Calculate q(g(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 (base 10) in base 2?\nAnswer: -11010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9158 divided by -19?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-3\/2))*l*l*l*l\/(((l\/(l*l*l\/(l\/(l*(l*l\/(l*l**(-6)))\/l))*l*l)*l)\/l)\/l))**(-29) assuming l is positive.\nAnswer: l**(-783\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 4 + -8 - 1) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-15))\/((36\/6)\/(-3))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-1 + 6)) + -6 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -20*g + 28*g. Let m(a) = -a**3 - 7*a**2 - 6*a. Let x be m(-6). Suppose -4*r + r + 24 = x. Solve -f = g*f + r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * 1053649.\nAnswer: -32663119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 300 - 300.4. Which is the fourth smallest value? (a) -3 (b) w (c) 2 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 10 = -2*c, 0 = c - 3*x + 28 - 36. Factor 4\/7*s - 4\/7*s**3 - 4\/7 + 4\/7*s**c.\nAnswer: -4*(s - 1)**2*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 13*a**2 + 15*a - 4. Let c be z(14). Suppose g - c = 11. Let j = g - 8. 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 nearest to 4 in 4, 2, -7\/32, -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (3 + -1) - 2. Suppose 5*g = 5*q + 5, q + 2*q - 4*g - 2 = a. Let t be -1 - 4\/q*3. Which is greater: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 144*f**3 + 171*f**4 - 144*f**3 + (-f**3 + 3 - 3)*(f - 2*f + 3*f) - f**4 + 0*f**3 + 0*f**3 + (-2*f**4 + 2*f**4 - f**4)*(-1 + 3 - 3).\nAnswer: 169*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(0*q - 3*q + q)*(-2*q**2 + 2*q**4 + 2*q**2) + (-4 + 3 + 0)*(-q**5 + 0*q**4 + 0*q**4) - 2*q**5 + 4*q**5 + q**5.\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2520 and 145170.\nAnswer: 4064760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 3:18 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyhhhuhhhyyhhywyyhh. What is prob of picking 2 y and 1 u?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 27. Suppose -2 - 18 = -2*r + 4*l, -4*r = l - 13. Suppose 5*f - 16 = r. What is the remainder when d is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, h: 2, l: 2, z: 4}. Give prob of sequence zflh.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-4)**2 + -2 + sqrt(88)\/(sqrt(8)*-5).\nAnswer: -sqrt(11)\/5 + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u - 12 = -22*u. What is the highest common factor of u and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*h. Suppose 0 = -2*i - h*i. Suppose i = -3*z + a + 74, 4*z - 2*a = 3*a + 117. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2838290.\nAnswer: 2, 5, 7, 13, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z. Let y(t) = 5*t - 14*t + 20*t. Determine y(k(x)).\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4014 at least as big as 4007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -531*u + 535*u - 31, u = -4*d + 22 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -541688499 divided by -2.\nAnswer: 541688499\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 217774769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -53*j**4\/6 - j**3\/3 - 7*j**2\/2 - 30. Let n(v) be the second derivative of a(v). What is the tens digit of n(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17111 + -17102. Solve -76 + 22 = -b*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 10 - (-10 + 6)) + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.583 and -0.32?\nAnswer: -0.18656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 - 20 = -4*z. Let y(r) = r**3 + 36*r**2 - 44*r - 152. What is the remainder when y(-37) is divided by z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6477 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m. Let s(h) be the second derivative of -7*h**6\/45 + h**5\/120 - h**4\/6 - 37*h. Let r(i) be the third derivative of s(i). Give r(v(d)).\nAnswer: 112*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4824 and 16101.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 275*q**4\/12 - 65*q**3\/6 - 698*q**2. What is the first derivative of z(a) wrt a?\nAnswer: 550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -1145d38?\nAnswer: -1145d34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -94\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -50, -75, -102, -125, -138, -135?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 415ca (base 16) to base 2\nAnswer: 1000001010111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4\/5, -1\/2, -18.65, 1 in decreasing order.\nAnswer: 1, -1\/2, -4\/5, -4, -18.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 7:03 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5*b = 16, 5*g = 3*g - 3*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1473 - 68d?\nAnswer: -1b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*k**3*u**2 - 3*k**3*u + 10*k**3 - 6*k**2*u**2 + k**2 wrt u.\nAnswer: 20*k**3 - 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2 + 33 = 0. Let u(t) = t**3 - t**2 - 11*t + 7. Let a(k) = -k**3 + 2*k**2 + 12*k - 8. Let w(c) = i*u(c) - 6*a(c). Let b be w(-6). Sort 1, b, -1.\nAnswer: -1, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 4*q + 94, q = 1397561*a - 1397556*a - 34 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h - 131. Let i be t(14). Let g be ((-572)\/165)\/(-13)*i\/6. Which is the nearest to 1? (a) g (b) 1\/7 (c) 3 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.116284 rounded to zero dps?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1*5) - (-21)\/(-2)*(-45288)\/66045.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439699.4 kilometers in micrometers?\nAnswer: 439699400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*k - 2690*k = 2928*k - 21*k - 668192 for k.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/15)*o)\/o)\/(o\/((o**15\/o*o)\/o*o)))**(12\/11) assuming o is positive.\nAnswer: o**(832\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6789 is divided by 2969.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, -39\/37, 0.04, 0.5, -1\/14, -0.4?\nAnswer: -39\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 10*v**2 - 21*v - 18. What is u(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-357)\/34) + (-212)\/21 + 23\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9997*t**3 + 13429*t**3 + 11792*t**3 + 13281*t**3.\nAnswer: 28505*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*d + 711 = 1 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -233395, -235765, -238135, -240505, -242875?\n\"Answer: -2370*h - 231025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 9. Let m be w(10). Suppose 2 + m = 3*l. Find the first derivative of 0*x**3 - 3*x + l + 3*x - 2*x**3 wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -39. Suppose 5*z - 8 = f + 2, y*z - 8 = f. Solve 3*s - 6 = 0, f*w + 4 = 2*w - 2*s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022 + 3194.29?\nAnswer: 3194.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 31 = -97. Suppose 5*b + c = 392. Calculate the remainder when b is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 8, 43, 96, 173, 280?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1969\/4 - 13589\/28. What is the common denominator of 43\/50 and f?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + 12 + -18 + 31 + -6?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397968884?\nAnswer: 2, 3, 13, 2987113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/11)*u)\/u*u*u**(-2\/11)*u assuming u is positive.\nAnswer: u**(26\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -12. Let x(c) = -3*c**2 - 2*c + 2. Let v(u) = -5*u**2 - 5*u + 5. What is d*v(r) + 5*x(r)?\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 48*j - 258. What is the remainder when 1635 is divided by w(8)?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001123 rounded to seven decimal places?\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.96 - -0.04. Let b(k) = 2*k**3 + 2*k**2 - k + 2. Let o be b(-2). What is the nearest to 0.1 in f, o, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -290169, 1 in descending order.\nAnswer: 8, 1, -290169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 132 + 69 = 0. Let f be p\/(-2) + 1\/2. What is f rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 i when three letters picked without replacement from {i: 1, n: 4, e: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -27*w**3 - 2*w**2 + 6*w + 6. Let o(q) = 53*q**3 + 3*q**2 - 13*q - 14. What is 3*o(s) + 7*z(s)?\nAnswer: -30*s**3 - 5*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 619, 0.3, -3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145395342 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4138882536.\nAnswer: 2, 3, 491, 351229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 0 + 22*a + a.\nAnswer: 23*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -44103668354.\nAnswer: -44103668357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2035021\/268356 + -1\/22363. Calculate the common denominator of k and -77\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.047 + -19.953. Let y = n - -54. Let a = y + -33.9999982. What is a rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m - 6*m)*(-5*m**2 - 10*m**2 + 4*m**2).\nAnswer: 33*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55\/6*y + 5\/3*y**3 + 25\/6*y**2 + 10\/3 = 0. Calculate y.\nAnswer: -4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -149\/5, 2\/7, 1, -3, -3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -49, -0.3, 3\/43?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2242\/3 + -745. Suppose -v**3 - o*v - 8\/3*v**2 - 2\/3 = 0. What is v?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 - -67. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-4)\/(-3))*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 233256 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33281226 divided by -4257?\nAnswer: -7818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -21, 0, -2\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 374 - 371. Suppose b*y + l = 4*l - 54, 4*y - 3*l + 72 = 0. Put -4, y, 0 in decreasing order.\nAnswer: 0, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/420*9640\/2892\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 + -0.5. Let x = 0.5 - g. Let o = -118\/3 - -39. What is the closest to x in -0.3, 4\/7, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*o - 8*o + 17*o)*(-4 - 3 + 4 + (-3 + 3 + 2)*(1 + 3 - 3)).\nAnswer: -25*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11254347 + -54.67\nAnswer: 11254292.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g - 7. Let r be v(2). Suppose 11*w - 7*w - 596 = -4*u, 5*u = r*w - 463. Suppose -4*o + w - 31 = 0. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f + 96 = 0. Let x be (3\/12)\/((-14)\/f). Suppose 5*s - 3*b = 0, -s - 3*s = 3*b. Which is smaller: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**6\/60 - o**5\/15 - o**4\/6 - 7*o**3\/6 - 4*o**2. What is the units digit of l(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 438*h**2 + 4750 - 119*h + 119*h - 4750 + 438*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 396 (b) -538 (c) 0.5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0059 + 0.0531. Let q = -0.3528 - u. Which is the nearest to 1? (a) 2\/3 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i**2 - i**3 + 3*i**2 - 3 - 6*i + 1. Let u be f(-5). Differentiate 0*x**u - 1 + 0*x**3 - x**3 with respect to x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/16)\/((-57)\/228)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 869*r**3 + 5463*r**3 + 142*r**3.\nAnswer: 6474*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - 12122211101?\nAnswer: -12122211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 550361100 and 300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*c - 5 = 0, -3*t - 10 = -5*t - 5*c. Solve v = t*g + 58 - 23, 4*v - 21 = 3*g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**5\/60 + k**4\/8 - k**3\/3 - 5*k**2. Let q be d(-5). Suppose -q = -z - z. Solve c - u + 2 = u, z*c + 3*u = -19 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.931 + 12.231. Which is the fourth smallest value? (a) -0.2 (b) -1 (c) 3\/5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (99 + -99)*((-7)\/2 - (-9)\/3). Suppose -1\/2*z**4 + d*z - 2 + 0*z**3 + 5\/2*z**2 = 0. Calculate z.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-1512)\/(-56) + 33\/(-3))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 12*a - 11. Let n be j(2). Calculate the greatest common divisor of 39 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 9*i**2 - 10*i - 15. Let s be o(8). Which is smaller: s or -30?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, -40, -138, -276, -454?\n\"Answer: -20*w**2 + 2*w + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (5 - 0)) + 0. Let d = 69 + -67. Sort d, 6, l in descending order.\nAnswer: 6, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 6 = 3. Suppose -5*b + 0*b + 20 = 0. Suppose -5*v = 3*o, -5*v + o + 10 = 2*o. Sort l, v, b in descending order.\nAnswer: b, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(3*a - 4*a + 3*a)*(0 + 0 - 1)*(-5 + 1 + 3).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*u + 366, 214 = -3*t + t + 4*u. Let b = t - -855. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = 2*m, -5*n + 3*m = 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -24. Let f(q) = q**2 - 9*q + 11. Give f(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 43*h + 22830. Let u(q) = 2*q. Give u(b(v)).\nAnswer: 86*v + 45660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 2*z**3\/3 - 88*z**2\/3 + 58*z\/3 - 6881. Determine f, given that p(f) = 0.\nAnswer: 1\/3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 2:39 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -324, -2608, -8814, -20904, -40840, -70584, -112098, -167344?\n\"Answer: -327*p**3 + p**2 + 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 4:15 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**4 - 2*a**3 + 29837*a**2 + 925461*a?\nAnswer: -48*a**2 - 12*a + 59674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103*r + 67*r - 20*r)*(-2*r + r - 2*r) - 3*r**2 - 2 + 2.\nAnswer: -453*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -23718220 rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -294 - -343. Suppose -5*u = -d - 4*d + 35, -5*u - 11 = d. Calculate the smallest common multiple of t and d.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -64. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h**2 - 3. Let y(b) = 1. Let o(n) = r(n) + 3*y(n). Suppose -q + 4 = 0, 14*x + 2*q = 12*x + 4. Let j(z) = -5*z**2 + 1. What is x*j(u) - 3*o(u)?\nAnswer: -5*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by -135.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y - 4*y - y)*(2 + 4 - 5)*(-1 - y - 2*y + 0*y) as j*y**2 + i*y + u and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*f - 20 = -3*k, -3*k + 12 = 3*f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.62 plus 15237656273?\nAnswer: 15237656197.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.4 + 15.4. What is the closest to 3 in 0, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125891 divided by -131\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3127.01 to the nearest 10.\nAnswer: -3130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18286509 by 1075677.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10224 = 9850*y - 10134*y for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, b: 1, y: 1, s: 1}. Give prob of picking 1 b and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -410613.5 to the nearest 1000.\nAnswer: -411000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134518 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 2*y - 287. Let d = -49 + 132. Let w = d + y. What is the remainder when w is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k - 771 = -501 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 218 = 7*b. Let w(l) = 6 + b*l - 6 - 22*l. Let y(h) = -h**2 + 3*h - 2. Let t be y(3). Determine w(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 33 = 2*x, 3*x - 14 = 2*l + 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = 3*w + 71. Calculate the remainder when 298 is divided by w.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 482586 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 769 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 172763 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 466*q**2 + 8572*q - 2525. What is x(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 + 59*w**2\/2 + 226*w + 330.\nAnswer: -(w - 66)*(w + 2)*(w + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 50329, 201274, 452845, 805042, 1257865, 1811314, 2465389?\n\"Answer: 50313*a**2 + 6*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -2\/15, -3\/5, -4, -3\/20 in descending order.\nAnswer: -2\/15, -3\/20, -3\/5, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 369 * -5042\nAnswer: -1860498","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 18. Let k be ((-21)\/14)\/(2\/(-12)). Let q be b(k). Solve 0 = -r - 2, q = -o + 2*o + 4*r + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 903 + -158. What are the prime factors of o?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -2)*4*(-42)\/(-9). What is the greatest common divisor of w and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3988613966?\nAnswer: 2, 1994306983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 12:37 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 36. What is h(35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 3:03 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10646897 is divided by 1291?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92)\/1449*(-14)\/(-4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -578748 divided by -204.\nAnswer: 2837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*(1 - 11\/7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -67 - 4?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 73708543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1311282 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*((-1*sqrt(117)*4)\/sqrt(3))\/(sqrt(33)\/((sqrt(11) - sqrt(11)*-2)*-6)).\nAnswer: 2 + 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24938 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-133)\/(12635\/(-228)) - 4?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/7*1*651\/(-558)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 - 0.16. Let l = 206 + -4541\/22. Is u less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -11010010?\nAnswer: -11010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5437*q**5 + 11105*q**2 wrt q?\nAnswer: -326220*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 1469?\nAnswer: -27\/1469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 535314274 to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*d = 20, 0*d = 2*c - 5*d + 20. Is 1\/148 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**2 + 4*w - 4*w + 1 - 2*w**2 - 6 - 1 + (-2*w - 1 + 1)*(2*w + 0 + 0).\nAnswer: -w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-210))\/(2\/(-5))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/70897534 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008007 to four decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q**2 + 7*q - 7. Let w(h) = -3*h**2 + 1. Let p(r) = -17*r**2 - 4*r + 8. Let u(d) = p(d) - 4*w(d). Determine 6*c(x) + 11*u(x).\nAnswer: -x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5, 9*o - 1045 = 4*o + 2*b. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -3. Suppose 0 = c*g + 4, 2*g = 3*b + 5*g - 3. Solve d**3 - d**4 - 10*d**2 + 8*d**b + 2*d**3 = 0 for d.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 9*o = 39 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.51498988 * -2.\nAnswer: 9.02997976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/236, -304 in decreasing order.\nAnswer: 0.4, -1\/236, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 1:41 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 9:08 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u**2 + 16 + 25 - 57 + 18 - 3*u + u. Let y(b) = -41*b**2 - 11*b + 11. Determine 11*m(d) - 2*y(d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2238994 at least as big as 8955979\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 145990231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8.2, -1, -0.4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 384322.\nAnswer: 1921610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1797180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a69 + 253?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9*(-10)\/12*-8. Let d = -12 - r. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -44. Solve -2*s - 6 = -g*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51795.\nAnswer: 3, 5, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3) + 148\/12. Suppose -h = 5*s + z, -1 = -h - 4*h - 3*s. Let k = h + 2. Round k to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27295 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548*i - 257*i + 116*i - 1974*i - 2598*i.\nAnswer: -5261*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7)*f\/(f*f**(2\/3))*(f\/(f*f*(f*f**(-2\/5))\/f))\/(f**(-1\/9)\/f))**(-3\/10) assuming f is positive.\nAnswer: f**(-41\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3003925941?\nAnswer: 3, 59, 79, 101, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 49*z + 415. Determine v(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 11*f + 9. Let d be m(12). Is d\/(-12) + 123\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 18 - 4*a)*(-12*a + 6*a + 14*a) + (5*a - 5*a - a)*(0 - 2*a + 0) in the form z*a**2 + s*a + i and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from ppyengnewngyyyywey.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -25781, 8 in decreasing order.\nAnswer: 8, 2, -6, -25781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 + 5*f**2 - 68*f - 137. What is y(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**3\/6 - 3*l**2 + l. Let o be k(7). Suppose -5*y + 0*y = 4*n - 37, y - 5 = 0. Solve -4*f + o = -n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + 1. Let n = -24 - -28. Suppose n*f + 5 = 21. Calculate v(f).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-36)*6*(-4)\/12\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (23 - (-3895)\/(-171))*9. Solve d*c = -37*c + 19*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 13. Let k be f(4). Let q = 14 + k. Calculate the lowest common multiple of q and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36331 greater than or equal to 33214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvivvvovliil. Give prob of picking 2 l and 2 v.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 516 and 4996?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24758 - -272566\/11. Let f = 2829\/154 - k. What is the common denominator of (-28)\/(-6) + (-2)\/4 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4490 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**8\/84 + j**5\/12 + 9*j**2. Find the third derivative of q(t) wrt t.\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*r = -26 + 199, -157 = -5*b + 4*r. Is b\/2 - (-10)\/20 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -2. Let l be (m\/4)\/(1\/(-5)). Solve 3*n - t = 3 + l, -t = -n + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 766 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -744\/5 + 52*q - 4\/5*q**2.\nAnswer: -4*(q - 62)*(q - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1548, -3189, -4832, -6477, -8124?\nAnswer: -9773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39450*v**5 + 48*v**3 + 5*v**2 - 55*v + 9090 wrt v?\nAnswer: 2367000*v**2 + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171588145 is divided by 537.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32285.41 decades in centuries?\nAnswer: 3228.541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(575\/(-345) + (-58)\/(-24)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*3)\/(10\/(-80)). Let f be (-16 - -4)\/(126\/i). Factor f*u**3 + 0*u + 0 - 2*u**4 - 8\/7*u**2.\nAnswer: -2*u**2*(u - 2)*(7*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14438*h + 483053 = -4464*h - 434555 for h.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/100*2\/11*341\/(-93)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3445451 times -0.02?\nAnswer: -68909.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -148 - -446. Suppose k + 2*r - m = -r, -5*k + 1529 = 2*r. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 12*o - 40. Let g be (-1 + 7)*(-18)\/27. Let f be p(g). Calculate the greatest common factor of f and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0\/i*i)**(-9\/13)*((i**(2\/7)\/i)\/i)\/(i\/i**(-1)*i))**(-3\/28) assuming i is positive.\nAnswer: i**(99\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -33\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-seven fifths of a century?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15773.18661 to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-144)\/(-27)*6\/4. Let z(s) be the second derivative of -s**5\/20 + 2*s**4\/3 + s**2 + 135*s. Calculate z(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5573 less than 19401?\nAnswer: 24974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1799 + 34136\/19. What is the common denominator of c and 10\/3?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 13*p - 3*p - 7*p - 4*p + 2 - p**2. Let q be l(0). Solve z - 2 - q = -5*y, -20 = 2*y - 5*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1712 by 18.\nAnswer: 856\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 123c (base 16) to base 2\nAnswer: 1001000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 78 (c) -14\/19 (d) 3 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -4 + 10 + -4 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8*q = 370. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6787?\nAnswer: 11, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 29 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 11:05 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 5:51 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**5\/4 + 4*t**2. Let k(a) = 3*a. Give k(i(m)).\nAnswer: 45*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 + 2*h**2 + 3*h**3 + 18 - 17 + h**3 to the form k + m*h + t*h**3 + l*h**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85999349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199611 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6) - (-144)\/27.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11994769574 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 657683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 296, 316, 348, 392, 448, 516, 596?\n\"Answer: 6*i**2 + 2*i + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8203.\nAnswer: 13, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-9 - -5)) + -2 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwfi when four letters picked without replacement from {i: 1, f: 6, w: 8}?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (68\/(-153)*1)\/(((-3311)\/42)\/(-43))\nAnswer: -8\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 4:27 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 559 and 2376309.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8552188.6 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 + 146 = 5*f + d, 3*d - 12 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -301800.26477 minus 0.9?\nAnswer: -301801.16477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2*sqrt(2))**2 - (sqrt(80)\/sqrt(5))\/sqrt(8))*2 + (3 + (sqrt(10)\/sqrt(5) + 4 - (-1 + sqrt(32))))**2.\nAnswer: -50*sqrt(2) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.65, 2278, 3?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z = -32. Is 7 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-129 + 1476 - 168)*(2*y - y - 3*y) to u*y + v and give u.\nAnswer: -2358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**6\/45 + b**5\/30 - b**4\/18 - b**3\/9 - 80*b. Suppose k(r) = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 96.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 0.1206.\nAnswer: 0.8442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157842301 - 157842301 - 4*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 204403763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142477492 and 32?\nAnswer: 1139819936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 50 - 18 = 5*m, -3*o - 30 = -3*m. Let a = 2 - o. Suppose -k - 8 = -3*c, a = 5*c - 3*k - k. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = y - 5*m, -22*y + 3 = -19*y - 4*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 3:43 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9.7, 3, -0.4, 1\/6, 0.27, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 4\/7, 0.3, -5, 0, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.46 + -2.054. Let p = 3.4 - 3.91. Let q = n - p. What is q rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-98)\/833*952\/(-210). Suppose 0 - m*n**2 + 0*n - 2\/15*n**3 = 0. What is n?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3. Suppose 0 = t - y - 8. Find the common denominator of 11\/16 and (-2)\/t*44\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l**2 + 8*l - 2. Let r(i) = i**2 - i. Let p(q) = -3*r(q) - v(q). Let d(s) be the first derivative of p(s). Differentiate d(t) with respect to t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 115088401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z = -5*b, -2*b = -z. Suppose 2*w + 15 - 773 = b. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 823550831 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32252 or -32416?\nAnswer: -32252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -797 + 801. Which is smaller: s or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 + 19*l - 281. Let d be n(7). Sort 16, -4, 102, d in descending order.\nAnswer: 102, 16, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 - 84. What is the hundreds digit of (-514)\/(-14)*i + 18\/(-63)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + 6*r**3 + 5*r**3)*(3*r + 3*r - 2*r + (-1 - 2 + 4)*(2*r - 1 + 1) - r + 0*r - r).\nAnswer: 28*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 221904 divided by -804\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102 (base 3) in base 12?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/3 and (124\/180)\/((-10)\/(-15)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 151*y - 3052. What is w(22)?\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/7)\/p)\/p)**36)**(2\/49)*(((p\/p**(1\/2))\/p)\/p)**(3\/31)*(p\/(p*p\/((p*(((p**3\/p)\/p*p)\/p)\/p*p*p)\/p*p)))\/p**(-6) assuming p is positive.\nAnswer: p**(95617\/21266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.12 + -0.02. Let u = 0.1 + r. What is the nearest to 0.1 in u, -0.5, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 965014820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 126539*k*x**2 + 2*k*x - 19*k + 102*x**2 - 1840 with respect to k.\nAnswer: 126539*x**2 + 2*x - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3954210 is divided by 73226.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 13*d**2 - 14*d + 24. Let n be q(12). Solve -i - o = i + 3, i - 3*o - 9 = n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65862272521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f + 4*t = 34, 54 = 4*f + t. Let l(d) = 27*d**2 + d + 1. What is the remainder when l(-1) is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00140373 to 6 dps.\nAnswer: -0.001404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-162)\/4)*-1. Let b be (-1 - -1)\/(3 - 4). Is p less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*h - 5*h - 76 = 0, -5*q - 3*h + 166 = 0. Suppose q*d = 40*d - 20. Suppose 0*k - d*k = -624. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**8\/560 - g**7\/420 + g**6\/120 + g**5\/60 + 15*g**3 - g**2 - 2*g. Let f(d) be the first derivative of k(d). Factor f(z).\nAnswer: -z*(z - 1)*(z + 1)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 115 = -8*h + 6*h, 4*b - 110 = -2*h. Solve 4 = b*o - 26*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 887 - 496. Is 42 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*b = -3*b - 28, 2*c - 4*b - 18 = 0. Let z be 2 + 18\/3 + c. Suppose -9 = -2*y + z. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 148*d + 5791. Let b be n(-77). What is the nearest to 0 in b, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.001, 5\/28, -3?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 17758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/(-3) + ((-55)\/15 - -4). Suppose 0 = -2*k + 3 - 1. Let s be (k - w\/(-6))*-8. Solve 4*m - 24 = s*g, -5*g = 3*m + 1 + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 20266.76\nAnswer: 60800.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87087*i - 489791*i - 2564274*i.\nAnswer: -3141152*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7 = -2*c, 5*c - 4*c = -i + 2. Which is greater: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35553 - -403?\nAnswer: -35150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 23. Let h = a - -32. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25325422252 - 3?\nAnswer: -25325422255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 59. Suppose 57 = -f + x. Solve -1\/3*u**4 - 2\/3*u + 1\/3*u**f + 2\/3*u**3 + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14, 18, 22, 26?\n\"Answer: 4*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15040 and 5.1.\nAnswer: -15034.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 5*r = -4, -4*r - 11 = 3*x - 5*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 1:32 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4854 = -3*g, -5*g + 8*g - 4830 = -6*k. What is g rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(6\/19)*y)*y*(y\/y**43)\/y)\/(y*y*y**(-2\/111))**32)**32 assuming y is positive.\nAnswer: y**(-7203616\/2109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-763)\/105 - 8*-2*(-18)\/(-24) - 5?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/k**(-3\/14)*k*k*k\/(k**(-34)\/k*k)*(k\/(k*k**7\/k))**(-5\/14) assuming k is positive.\nAnswer: k**(579\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121170715?\nAnswer: 5, 24234143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118 + -106. Solve -3*c + h = 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -0.4. Let b = -0.015 + 40.415. Let w = b + -41. Which is smaller: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1213320 divided by -101110\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*j + 9, -r + 3*r = 3*j - 7. Let f be (-54)\/(-4)*2 + r. Let i = 46 - f. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722489635 is divided by 3151?\nAnswer: 3147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*n + 250. Suppose -n - 207 = -r. Suppose -2*f = 3*g - 371, 3*f - 823 + r = 5*g. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + z + 50 + 58 = 0, 0 = -2*p - 5*z + 27. Calculate the greatest common factor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 313902175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 20696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-23)\/h*h**18)\/(h**16*h*h)**(2\/11) assuming h is positive.\nAnswer: h**(-91\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 + 8*b**3 + 1 + 5*b**4 + 4*b**5 + 8*b**2 - 17*b**4 + 51*b - 63*b.\nAnswer: 4*(b - 1)**4*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p**2 - 27*p. Let f(o) = -7685*o + 1. Determine f(v(y)).\nAnswer: 30740*y**2 + 207495*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 281 + 119 = 0. Let l(x) = -x - 5. Let j be l(-2). Let o be j*(n\/(-12) - -2). Calculate the greatest common divisor of o and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132535221 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i + 1. Let g be c(1). Let z = -42 + 44. Is g\/2 + 233\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 16. Let v be l(-11). Let d = v + 48. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5226 is divided by 391.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -967 + 8*l + 9*l - 42*l + 14*l + 8*l.\nAnswer: -3*l - 967","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.11 - -0.1099704. Round t to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2 + 244*y - 7442 = 0. Calculate y.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13490 and 2991322?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/4399 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**4\/12 - 7*d**3\/6 - 3*d**2\/2 + 660*d. Suppose 0 = -5*b - 15 - 0. List the prime factors of u(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14873867 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 856527647 - 856527647 + 44*d.\nAnswer: 44*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2544 (base 13) to base 6\nAnswer: 40303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q = -3*x - 51, -276500*q + 276503*q - 9 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1202*j**5 - 2698*j + 579*j**5 + 544*j wrt j?\nAnswer: 35620*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -845.8169 * -102.\nAnswer: 86273.3238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 6*i + 3. Let c be w(5). Let q(x) = 2*x**2 - 7*x - 5. Let s be q(c). Let f = s - -9. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -78, -151, -220, -285?\n\"Answer: 2*c**2 - 79*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v + 0*v - 4*v + (-2*v - v + v)*(64 - 98 + 51) + 3*v + v - 5*v - 2 + v + 2 + (4*v + v + 0*v)*(1 - 4 + 2).\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.064\nAnswer: -0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2262*j - 18. Suppose q - 2*q - 5*k = 28, 4*q = -2*k - 40. Let p be w(q). Let o = p - -724601\/40. Calculate the common denominator of 47\/40 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/2 and -97\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2206 + 5139. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1266*o**2 - 1266*o**2 + 2*o**3 + 10*o as z*o**3 + y*o + a + c*o**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -278124, -2225218, -7510222, -17802090, -34769776, -60082234?\nAnswer: -95408418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10515 and 64564203.\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*s + 327*s = -3*w + 23, 1 = w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8024 - -8022. Which is the closest to -3\/7? (a) 0.6 (b) 2\/3 (c) 0 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 38 = -2*x, 4*x + 10*f = 9*f - 13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6129248, 12258501, 18387754, 24517007?\n\"Answer: 6129253*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 2*v - 12. Let f = 35 + -41. What is the smallest common multiple of r(f) and 6\/(-5)*10\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -336 - -3029\/9. Suppose 5*h + 4 = 9. Is h at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(-1 + 0 + sqrt(11)) + -1*((4 + sqrt(275)*3 + sqrt(275))**2 + sqrt(275)).\nAnswer: -4414 - 162*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 204 = 4*o + 175, 0 = -t + 1. Let u(a) = 4*a**2 - 11*a - 5. Let h(s) = -5*s**2 + 12*s + 6. Let i(p) = 3*h(p) + 4*u(p). Give i(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 53*o + 766. What is the units digit of a(33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5494)\/8 - (-1)\/(-4). Let v(s) = 2*s**3 + 8*s**2 + s - 8. Let n be v(-4). Calculate the common denominator of r\/(-56) - n\/(-84) and 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 164, 54, -3, -5, 3 in descending order.\nAnswer: 164, 54, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + f + 0*f)*(2*f**2 - 6 + 6)*(176*f + 25 - 53 - 177*f) as l + w*f**4 + i*f + u*f**3 + t*f**2 and give u.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/3731700 and 53\/42648?\nAnswer: 7463400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3 + (-1347)\/(-447)). Suppose -4*c + u = -247. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 42*j + 75\/2*j**2 + 174 + 11*j**3. Factor y(o).\nAnswer: 3*(o + 1)*(11*o + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 10*a**2 + 9*a. Let i be f(9). Let v(s) = s**3 + s**2 - 1. Calculate v(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 + 15\/10. Suppose h*d = 5*d + 2*t - 11, 5*t = -3*d + 5. Which is bigger: 4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -62\/5, 4\/5, 2, 5, -0.02?\nAnswer: -62\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {m: 2, q: 2, l: 4, p: 1, o: 5}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 2:39 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/992 and -139\/182880?\nAnswer: 5669280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 2*h = 78. Let b(k) = 129*k**2 - 2*k - 1. Let o be b(-1). Suppose 5*t = -0*t + o. Solve h = -4*n + t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**2 + 54*v + 12. Let q(j) = -j**2 - j - 1. What is -f(k) - 6*q(k)?\nAnswer: -k**2 - 48*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -268\/7879 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 5) in base 2?\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13043576*h**2*u**3 + 3355836*h**2*u wrt u.\nAnswer: 78261456*h**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -5*w**3\/3 + 6*w**2 - 1. What is the second derivative of s(m) wrt m?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112124.9kg to nanograms.\nAnswer: 112124900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.13 - -6.13. Let v = -213 + 1919\/9. What is the smallest value in x, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 18\/2021 and 4403 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 4*f + 1. Suppose 2*a = -49 + 53. Let x = 1 - 1. Let d be a + (-3)\/(-3 + x). Determine b(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1253 + 2292. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28883*h**3*t**3 - h**3*t**2 + 1458*h**2*t**3 + 194*h**2*t**2 - 3*h*t**2 + 9645*t**2 wrt t.\nAnswer: -173298*h**3 + 8748*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/5*w**2 + 0*w - 1\/5*w**4 - 7*w**3 + 0.\nAnswer: -w**2*(w - 1)*(w + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*(-60 + 208152\/3444)\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -140 - 3406?\nAnswer: -3546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1321409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 15) to base 12.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**4 + 520*f**3 - 1621*f**3 + 458*f**3 - 1275*f**2 - 5125*f + 508*f**3 - 7500 = 0.\nAnswer: -12, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -82*n + 76. What is the tens digit of u(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*w - w + 8*w - 6 + (0*w + 0*w - w)*(-3 + 3 - 1).\nAnswer: -w - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -123, -122, -121, -120?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 37\/2 of a kilogram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -31*m + 4. Let w(i) = -897*i + 117. What is -117*h(x) + 4*w(x)?\nAnswer: 39*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -7*l - 19. Solve l = -0*j + 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y**4 + 6*y**4 - 2*y**4)*(-2 + 2 - 2)*(-10*y + 3*y - 6*y + 2*y - 5*y + 4*y + 2 - y - 2 + (0 - 3 + 1)*(2*y + 0*y - 5*y) - 5*y + 4*y - y).\nAnswer: -90*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/(11\/(110\/(-20)))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/2 + 2205*n - 4408 = 0.\nAnswer: 2, 4408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*m - 214 = 191. Let q be (1 + 7\/(-5))*2. What is the closest to 0 in q, 5, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6433 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18571 + 18597. Put -3, x, 2 in descending order.\nAnswer: x, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4663515 times -0.2?\nAnswer: -932703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 5, 297 in increasing order.\nAnswer: -3, 2, 5, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1 - 1 + 2*a - 3*a + 0*a. Determine r(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**2 - 21*q - 6. Let k(s) = 20*s**2 + 64*s + 17. Give 6*k(r) + 17*y(r).\nAnswer: r**2 + 27*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 4. Suppose -u - 9 = -5*l, 4 - 1 = l + u. Suppose 5*s + 7 = 3*z, -s + 18 = l*z - 4. Let i = z - 4. Let x(h) = -h - 5. Give i*n(v) + 4*x(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 76854 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*w + 30 + 31 = 0, 24*z - 200 = 31*z - 3*w for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -3957.\nAnswer: -3954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 659 + -656. Solve 0 = z*d - 16 + 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 76*t - 258 = -1762 - 1080 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1654 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6548 is divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a7 (base 12) to base 13.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((8 - 2) + -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*((3 + sqrt(432) + -1)**2 + -1 + 3).\nAnswer: 48*sqrt(3) + 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 98855.84 + -0.95.\nAnswer: 98854.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -714656.6 - 13.96615\nAnswer: -714670.56615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 10002?\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*z = 1 + 3, -o - 10 = 5*z. Let t be ((-25)\/10 - -3)*o. Suppose -25 = -5*h, -5*n + t*h = -4*h + 25. Put 1, n, -7 in descending order.\nAnswer: 1, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c961 (base 14) in base 10?\nAnswer: -265273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -98619897 and 0.4?\nAnswer: -39447958.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -149*d**2 - 140*d**2 - d - 88*d**4 + 289*d**2 - 3*d**3 to b*d**4 + u + o*d**3 + h*d + x*d**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*t = 10 - 91, 5*t = 0. Let s(x) = -x**3 - 11*x**2 - 15*x - 86. Is s(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 9 - 8)*(4 - 4 - m)*(-16 - 17 + 12) to j*m + r and give j.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38*r**2 - 92*r**2 + 250*r**2)*(-66 + 37 - 45) as u + g*r + h*r**2 and give h.\nAnswer: -8880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 g, and 1 q when three letters picked without replacement from rsrszggqqlqzqsrrqq.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 11*q**2 + 15*q - 16. What are the prime factors of t(10)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224265900.\nAnswer: 2, 3, 5, 41, 18233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozoeooozeooe. Give prob of sequence ze.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396099601 a multiple of 1398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95)\/114*6\/20.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 7:07 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9505 and -1.22?\nAnswer: 9506.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 6.9. Let d = -0.0245 + -0.0755. What is the closest to d in c, 1, -9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 5 + sqrt(5)*3)*4 - (-5 + (-1*sqrt(45) - (sqrt(25) + sqrt(100))\/sqrt(5))))**2.\nAnswer: 468*sqrt(5) + 1789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i**2 + 6*i**2 - i**2.\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 - 35 + 8)*(0 + 13 + 3 + m) + m + 3 + 0*m - 1 in the form p*m + n and give p.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16796966?\nAnswer: 2, 8398483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*k - 72. Suppose 6 = 4*p - k. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 126*g + 12516. What is c(-109)?\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = 79*v - 11011. What is the smallest common multiple of v and 132?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*j + 6. Suppose -12 = 5*m - j. Let r be (68\/85)\/(m\/(-20)). What is the greatest common divisor of r and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*j + 6, 2*v - 3 = -2*j + 1. Suppose 6*u = j*u + 56. Solve 0 = 2*c - 4*h + u, -4*h + 29 = -0*c + 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i + 16*i = 17*i + 72 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 520.422 (b) -8\/7 (c) 0.5 (d) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131 + -135. Let b be -21 + 19 + (2 - h). Solve -6*l + b = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 731, 726, 713, 692?\n\"Answer: -4*z**2 + 7*z + 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5841055um to nanometers.\nAnswer: 584.1055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 2395*r**4\/4 + 1044*r**3 - 410. Find the third derivative of j(p) wrt p.\nAnswer: 14370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/275 and -73\/11935?\nAnswer: 59675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/(j*j**2))\/j)\/((j\/j**(4\/7))\/j))\/((j*j**(-7))\/j**(-5\/4)))**(-44) assuming j is positive.\nAnswer: j**(-1023\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 14*z = 25. What is the third biggest value in z, -4\/7, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -1779*s + 5. Let i(o) = 364*o - 1. What is -4*h(n) - 22*i(n)?\nAnswer: -892*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 130, 66, -46, -212, -438, -730, -1094, -1536?\n\"Answer: -l**3 - 18*l**2 - 3*l + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/(n**(2\/3)*n))*n)**(-42)\/(n**(-2\/15)\/n**3))**(-8) assuming n is positive.\nAnswer: n**(18104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 4*i**2 + 4*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**5 + 67755*u**4 - 344356260*u**3 + 778129887920*u**2 - 660338367944640*u + 1974021226974720 = 0.\nAnswer: 3, 3384, 3388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/1 - -3 - 0. Is (4\/(-6))\/(t\/(-603)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10497477431323 - -8?\nAnswer: 10497477431331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -175679185 rounded to the nearest one hundred thousand?\nAnswer: -175700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 146*v**2 - v - 143*v**2 - 2*v in the form d*v + l*v**2 + h and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3075.051 and 0.013?\nAnswer: 3075.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 980011356294241.9999986 - 980011446560077. Let n = i + 90265825. Let k = n - -10. Round k to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1251614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 6:21 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*y - 21, 5*i = y + 18 + 13. What are the prime factors of 2\/(i\/69) + 3?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7490)\/105*((-6)\/4 + 0). Let a(q) = -22*q**2 + v*q**2 - 25*q**2 - 30*q**2 - 19*q**2. Let j(t) = 15*t. What is a(j(p))?\nAnswer: 2475*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**(3\/13)))\/o**(10\/11)*(o*o**(-7\/4)*o)\/(o\/o**(5\/2)) assuming o is positive.\nAnswer: o**(921\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**6\/15 + z**5\/4 - 7*z**2. What is the third derivative of p(g) wrt g?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-8)\/6)*(-3)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*f*p*w**2 + 140*f*w + 125*f + 665*p*w**2 - 9866*p with respect to w.\nAnswer: 14*f*p*w + 140*f + 1330*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 807670.\nAnswer: 161534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 648 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 9*z - 8. Let k be s(9). Let w = -7 - k. Let n(c) = -1 - 1 + 3*c**3 - w. Let y(x) = -x**3 + 1. Determine n(d) + 4*y(d).\nAnswer: -d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(14)\/(sqrt(2) - (sqrt(2)*2*6 - sqrt(2))) + -3)**2.\nAnswer: -2*sqrt(7)\/5 + 407\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 4*b - 2*i, 5*b + 66 + 6 = -4*i. List the prime factors of (939\/b)\/(7\/(-84)).\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8342\/3 + 2756. Let z = 26 + d. Suppose 3 = -3*o + 2*o + a, -o + 15 = 5*a. Is o at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, t: 1, c: 3}. What is prob of picking 1 t and 1 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -9. Suppose s - 14 = -a*s. Calculate the highest common divisor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/(((-96)\/12)\/160)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -15, -0.04, -4, -1\/2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 9. What is the remainder when 5 is divided by (-117)\/x - 2\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 1476.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 800*k**2 - 433*k**2 - 378*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108441 by -12049.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-4 - -1 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from myggsspu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108242996 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 0)*(4*c**5 + 3*c**5 - 5*c**5) + c**5 - 5*c**5 + 2*c**5 + (-4*c**3 + 4*c**3 - 2*c**4)*(-c + 4*c - 2*c).\nAnswer: -12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143\/2 + 70. Suppose 0 = -5*i + 13 - 8. Let l = -222\/5 + 89\/2. What is the closest to i in -0.12, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23438\/7 - -3340. Let f be (-4 + 2 + 72\/20)\/((-10)\/50). Is n smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365*f + 724*f - 362*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, u: 3, i: 4, k: 1, e: 1, r: 1}. What is prob of picking 1 i, 1 n, and 1 e?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -29.98.\nAnswer: -89.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 175.9, -4\/289 in descending order.\nAnswer: 175.9, -4\/289, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 - 69 - 5*k**2 - 64.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1941948 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 728892*r - 2186703.\nAnswer: 3*(r - 3)*(r + 242967)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 + (3 - -7) + 2. Suppose h*r - 22463 = -f, 0*r - 11227 = -2*r + f. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 2 + -4 + 1093. Suppose 5*m - 6337 = -c. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1020 + -1020. Let r = -3 - -2. Sort 1, w, r in descending order.\nAnswer: 1, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.061388mg in micrograms?\nAnswer: 61.388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 1:11 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**5\/12 + 70*h**4\/3 + 2425*h**3\/2 + 2*h**2 + h + 2271. Factor u(t).\nAnswer: 5*(t + 15)*(t + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4550*k**3 + 14*k - 42. Let d(a) = -a**3 + a - 3. Give 14*d(l) - m(l).\nAnswer: 4536*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9745193.\nAnswer: 739, 13187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbb when three letters picked without replacement from bbbbbbbbnnbnbbb?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45585, 45619, 45683, 45783, 45925, 46115, 46359?\nAnswer: 46663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7*p + 50 = 0. Calculate the highest common factor of 30 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 196\/3*o**2 + 2 - 3\/2*o**4 - 20*o - 1\/30*o**5 - 56\/3*o**3. Factor s(n).\nAnswer: -2*(n - 1)*(n + 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3 + 23839*w**2 - 47681*w + 23841 = 0.\nAnswer: -23841, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2.8. Let a = 11 - 11.1. Let g = a + o. Put 5\/3, g, 5 in ascending order.\nAnswer: g, 5\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 t when three letters picked without replacement from {a: 1, k: 3, z: 3, t: 3}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 327+1.020793555\nAnswer: 328.020793555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56668084 is divided by 5452.\nAnswer: 5448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**2 - 4*m**2 - 2*m**2 - 3149 + 2*m**2 + 3149.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -14\/3, -0.019, -123?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2350 + 24554242?\nAnswer: 25001032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 3 - 3)*(5*o**3 - o**3 - 2*o**3) + (2 + 2 - 3 + (2 + 4 - 3)*(2 - 3 + 0) + 1 + 2 - 1 + 4 + 1 - 3)*(12*o**4 + 12*o**2 - 12*o**2).\nAnswer: 26*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1008))\/sqrt(4))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 11:29 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135332252?\nAnswer: 2, 11, 181, 16993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39895, -319139, -1076997, -2552749, -4985675?\nAnswer: -8615055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.4, 1, -5, 986708, 0.3 in increasing order.\nAnswer: -5, 0.3, 0.4, 1, 3, 986708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6493, 5923, 5281, 4531, 3637?\nAnswer: 2563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 8 = 2*n, -16 + 34 = -4*n + 5*t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(156)\/sqrt(300))**2.\nAnswer: -39\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-270)\/(-63) + -4 - 47\/(-7). Is ((-14514)\/(-1))\/6 + (z - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -942, 839, 88 in decreasing order.\nAnswer: 839, 88, -942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (2 + (-5 - -6)) - 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254, 329, 426, 551, 710, 909?\nAnswer: 1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 713 in -621, 0.2, -4, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y - 21. Let i(h) = -4*h**2 + 11*h**2 + h**3 + 7 - 5 + 6*h. Let j be i(-6). Let s(x) = -x**3 + 1. Calculate j*s(f) + 2*k(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18323 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 12*a**2 + 13*a + 5. Let v be p(13). Suppose 0 = v*i - 234 - 6. Let y = -10 + i. What is y rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 78.223?\nAnswer: -2.34669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-30)\/(-11))\/(-2 + 1). Which is greater: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11510.7 + 11.9.\nAnswer: -11498.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 29\/24601279?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 19 = -79. Let b = -9 + q. Suppose -190 = v - b*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -12*z + 7460. Let d(r) = 23*r - 14923. Let q(y) = 3*d(y) + 7*h(y). Is q(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 61*b**3\/6 + 11*b**2 + 42*b. Find the first derivative of s(a) wrt a.\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -291693*a**3*v - 2*a**3 - 22865*a**2 wrt v?\nAnswer: -291693*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-116)\/(-8) - (-2)\/(-4). Let r be 90\/c - (-15)\/(-35). Suppose h - 40 = -r. What is the remainder when h is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -582509, -582507, -582505?\n\"Answer: 2*k - 582511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*g - 80, 42*t - 43*t = -4*g + 56. Let y = -571\/5 - -115. Put 1\/4, t, 3\/4, y in increasing order.\nAnswer: t, 1\/4, 3\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279355, -558701, -838045, -1117387, -1396727?\nAnswer: -1676065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, n: 5, k: 1, b: 8}. What is prob of sequence bblb?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -254, 4, -4 in descending order.\nAnswer: 4, 0, -4, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/3 (b) 0.2 (c) 3 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-84)\/3*(-14)\/8. Suppose k - p = -k + 5*n, 4*k - 58 = 2*n. Let w be 2 + 0 - (-4)\/2. Calculate the highest common factor of w and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4*o)**9*(o**(-3))**(3\/7) assuming o is positive.\nAnswer: o**(306\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b. Let y(v) = 430*v - 3. Determine -5*x(d) - y(d).\nAnswer: -415*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50794 divided by -15.\nAnswer: -50794\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibfb when four letters picked without replacement from ifiiiqbfiiqbqeiei.\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 58. Let n(o) = -2*o**2 + 299*o - 9940. Let r be n(50). What is the highest common divisor of r and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 999162955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2132 + -101052?\nAnswer: -54520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - (0 + -6 + 3). Let g(f) = f**2 - 3. Give g(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**2 - 17*z + 4. Let s(b) = 11*b**2 + 35*b - 7. Let p(r) = 6*s(r) + 13*w(r). Calculate p(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 10*l**2 + 23*l - 8. Let x = -28544 - -28532. Calculate v(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1332 and 14.\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 36077777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, w: 5}. What is prob of picking 3 w?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 2:05 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51892 and 3354?\nAnswer: 87022884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3 + 3836*p**2 - 68320*p - 152000 = 0. What is p?\nAnswer: -2, 20, 1900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 - 29*k**2 + 110*k - 26. Let t be m(4). Solve -t = 44*z + 186 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 214 - 5?\nAnswer: 20e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -288 divided by 32\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3098 times -1247?\nAnswer: 3863206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -463*x = -817*x - 354 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008895732 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179116642 to the nearest integer?\nAnswer: 13383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -408614?\nAnswer: 408611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 8*n**2 + 9*n + 4. Calculate q(-8).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202 divided by 1268.\nAnswer: -101\/634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71\/195 - -2\/65. Let g = 400 - 400.4. What is the closest to 0 in 11, g, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 321, 652, 981, 1308, 1633, 1956, 2277?\n\"Answer: -w**2 + 334*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.1 + -15. Let r = g - -9. Sort -4, r, 3 in ascending order.\nAnswer: -4, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-146)\/(-8) - 2\/8. Let m = 30 - o. Solve 19 - 4 = -l - 3*f, 3*f + m = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(sqrt(17) + sqrt(17) + -3).\nAnswer: -4*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from arraaaraaaa?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62\/849 - -167\/9339. What is the nearest to -1 in 2\/15, l, 61?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 39 + (-88)\/(48\/6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t + 6386 = 6834 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 0.1, 2, -2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*b + 24 = -3*x, 0 = -b - 4*x - 12. Sort 5, b, -13.\nAnswer: -13, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 5*z**2 - 15*z - 4. Let s be x(-7). Suppose b = -s*b - m + 95, -m - 25 = -b. What is the highest common factor of 16 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 13*t + 11. Let w be d(-11). Let y = 10 + w. Is y greater than -0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5801.\nAnswer: 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 24\/20)*(1 - -24)*-1. What is the greatest common divisor of 18 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*r + 83 = -64, -3*r = 9. Suppose -q + z = -70. Does 61 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161 - 157. Let m be (-2 + 3\/f)*4\/3. Which is the smallest value? (a) m (b) 1\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.29 + -0.2900105. Round a to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 485842147*y - 391264085 with respect to y.\nAnswer: 485842147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/5? (a) -1\/8 (b) 5 (c) 10 (d) -1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110 + -1121?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123488 divided by 15436.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + (sqrt(10)\/sqrt(5) - sqrt(2) - sqrt(2)))*-5 + ((sqrt(2) + 0)*-6 + -1 + sqrt(2) + 3)**2.\nAnswer: -15*sqrt(2) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 82*c - 39. What are the prime factors of u(50)?\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3\/9 + 9034*x**2\/3 - 5891860*x\/9 = 0. What is x?\nAnswer: 0, 221, 13330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*s - 410115 - 383906 = 0. Calculate the greatest common factor of s and 447.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 36 = 0, -k = 5*p + 42 + 36 - 111 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 281 + -505\/2. Which is smaller: g or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/32)\/(30\/16).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 70*x - 329. What is the units digit of h(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-126)\/(12\/(-3) - -2). What is the greatest common factor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 24*s**2 + 3*s + 14. Let h be i(-4). Suppose -475 = -7*n + h. What is the remainder when n is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -243 - -409. Is 43 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1399954 + 24?\nAnswer: 23.8600046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1415045 - -40?\nAnswer: 1415115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**4 + 32*j**3 + 84*j**2 + 72*j = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2282*l**2 - 1145*l**2 - 1140*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -3474 and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.009 and 7791?\nAnswer: 70.119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3710, -3706, -3698, -3686, -3670?\n\"Answer: 2*v**2 - 2*v - 3710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*t - 1149 + 1149 to the form a*t + u and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/19, 66, 2\/7 in descending order.\nAnswer: 66, 2\/7, 1\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m + 2*m + 2128 = 0. Suppose 4*w - 3*w = 91. What is the remainder when w is divided by (-3)\/(189\/m - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-2) - 53)\/((-5)\/3). Solve -3\/5 - 384\/5*r**5 - s*r**2 + 96\/5*r**4 + 264\/5*r**3 + 39\/5*r = 0 for r.\nAnswer: -1, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9}. Give prob of picking 2 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -2577, 10, -1\/2 in descending order.\nAnswer: 10, 5, -1\/2, -4, -2577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61*h**4*s - 192075*h**4 + 813100*h*s + 6*s wrt h?\nAnswer: -732*h**2*s - 2304900*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*a + 178495 = 0, -24*f + 22*f + 3*a + 118995 = 0. Suppose h + f = i, 3*h + 72651 = 4*i - 165364. What is i rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/1752 and 89\/24090?\nAnswer: 96360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 957*d + 4684. What is v(-4)?\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3267, -13032, -29307, -52092, -81387, -117192?\nAnswer: -159507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 60\/34*((-340)\/110)\/((-216)\/297)\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 e when four letters picked without replacement from ssssssseees.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*q**2 - 2069*q + 4054 = 0. What is q?\nAnswer: 2, 2027\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*y = 90, 5*y + 58 = 3*s - 121. Find the first derivative of -s*k + 6 - 2*k**2 + 53*k - 3*k**2 wrt k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + -1 + sqrt(300) + ((1 + sqrt(300) - sqrt(300)) + 4)**2 + 5 + 2 + -3.\nAnswer: 10*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1919*c + 3101 wrt c?\nAnswer: 1919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - -6. Suppose d = 6*r - 2*r. Let f(b) = 9*b**2 + 0*b + r*b - 4*b. Let a(x) = -2*x. Determine f(a(t)).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(4490\/16 + -2). Let f = -279 - w. What is the third smallest value in f, -2, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2552, 10224, 23010, 40910?\nAnswer: 63924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.3122.\nAnswer: 0.09366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -417641*c**4 - c**2 + 385860*c wrt c.\nAnswer: -5011692*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3.5 (b) 1 (c) 4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -273403 (base 8) to base 4.\nAnswer: -113130003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 34344.\nAnswer: 171720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + k + 5. Let q = 19 + -15. Let h be y(q). Let i = h + -48. Let n(t) = t**3 + 6*t**2 - 7*t + 3. Give n(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1295 - -1293. Let p(h) = h**2 - 4. Determine p(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)*-1*-1)\/(sqrt(72)*3*3).\nAnswer: 2*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*m**2 - m**3 + 255*m**2 - 516*m**2.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -5, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8a1 - 9?\nAnswer: -8aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20879 = -31*y + 90536. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5)\/(i**4\/i*i))\/(i*i\/((i**(-2)*i*i)\/i))**(2\/13) assuming i is positive.\nAnswer: i**(-316\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 111632273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -329, -344, -359, -374, -389?\n\"Answer: -15*m - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f. Let r be 90\/(-105)*14\/(-4). Let o(d) = d + 0*d + 0*d - r*d + d. What is 6*c(t) + 14*o(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnqsbbssbs. Give prob of sequence sq.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmebm. What is prob of sequence mb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -23. Let z be 4\/(-28) + (-1)\/m*2766. Suppose -5*b + 130 + z = 0. What are the prime factors of b?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*4*(2 + -2*sqrt(275) + (sqrt(275) - (sqrt(275) + -2)) + 2)**2.\nAnswer: -11520*sqrt(11) + 109056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4462*w + 4452*w = -70. Suppose -6*v + 233 - 35 = 0. What is the remainder when v is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115293 = -7*j + 332419. Find the third derivative of 31*s**2 - 31018*s + 38*s**3 + j*s wrt s.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*a + 44 = 0, -2*g + 0*a + 3*a = 25. Let t = -8 - g. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -424.9, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*(w*w*w**(-6\/11)*w)\/w)\/w)\/((w\/(w\/w**(-8\/7)))\/w))\/(w**17*w*w**15))**(-36\/11) assuming w is positive.\nAnswer: w**(81504\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11504, 23004, 34504?\n\"Answer: 11500*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**7\/2520 - m**6\/1080 + m**3 - 1. Let i(j) be the third derivative of z(j). Factor i(g).\nAnswer: -g**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011120 (base 3) to base 4\nAnswer: 31110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 33790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-10) - 492\/(-20). Suppose -5*s + 7 = -k - 8, -5*k = j. Solve -s*n - 2 + 8 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 z when three letters picked without replacement from cszsczcsssc?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppayapaazpapyppyvayp. What is prob of sequence pvaz?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/19080 and -49\/12720.\nAnswer: 38160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 84 = 40 + 20. Suppose d - i + 4*i - 6 = 0, -1 = -i. Solve 5*f = d*k + k - 11, 3*k + r = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -124 - 130 - 129 + 381 + 2111*m as a + s*m and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 16*u - 85. What is q(21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38467 and 446589?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/17)*k**(-1\/5))**(-49)*((k*k**(-2\/5))\/k**(3\/8))\/(k*(k\/k**1)\/k)**(5\/3) assuming k is positive.\nAnswer: k**(2897\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*m + 2074, -2*i = -2*m + 568 + 264. What is the least common multiple of 3 and m?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/21, 1.87 in decreasing order.\nAnswer: 1.87, 1, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - 245482*c + 245482*c + 60*c**2.\nAnswer: -c**3 + 60*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from {q: 4, p: 5, d: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 26 - (109 + -132).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 24926 + 3*x**2 - 24926. Let z(p) = -2*p**2. Determine z(f(b)).\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 30097 and 30209 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**7\/84 + 5*t**4\/24 - 5*t**3\/2 - 18*t**2. Let v(o) be the first derivative of m(o). Differentiate v(n) with respect to n.\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -5, -10, -13?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, -0.4, -8 in increasing order.\nAnswer: -8, -0.4, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5727437608 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 278 + 400. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**3. Let r(d) = -2*d**3 - 6*d**2 - 25*d + 124. Let q(b) = -o(b) - r(b). Let h be q(4). Let w(y) = -y + 17. Determine w(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -432 - 445 + 3*q**2 + 877. Let x(a) = 623*a**2. What is i(x(f))?\nAnswer: 1164387*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = -4. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*r + 3. Suppose 0 = -r*g - 2*w + w + 6, w - 4 = -2*g. Determine p so that -3\/4*p**4 + 0 + 0*p - 1\/2*p**g + 5\/4*p**3 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1178167524295361\/510779394 - -154\/28376633. Let k = -2307776 - f. Let d = 2327\/2 + k. Calculate the common denominator of -34\/9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 2. Let z(k) = -8*k - 2*k - 3*k - 4*k + 16*k. Let y(r) = -r**3 + 3*r**2 + 2*r + 9. Let q be y(4). Determine q*p(j) - 2*z(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4224 divided by -12?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280334.\nAnswer: 2, 140167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1039 + -614. Let n = 457 - r. Sort -0.1, 0.4, n in ascending order.\nAnswer: -0.1, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 2:21 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 + -7) - ((-12 - -31) + -58 + 18)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/5055 - -561\/1685. Let f = -12 + 12. Let r = -13 - -18. What is the closest to f in d, -3, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 4*d - 20, -38 + 30 = 2*d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 17 = -4*i - 0*p, -5*p = -5*i + 40. Let j = i - 0. Suppose 0 = -4*h + 3 + 1, 3*r - 51 = -j*h. Calculate the greatest common factor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c - 28205?\nAnswer: -281b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.153337 rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-16)\/6*1683\/102*(-40)\/32\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*t + 36 + 8*t - 70*t**3 + 69*t**3 + 20*t**2 - t - 5*t wrt t?\nAnswer: -6*t + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*a + 0 + 2\/7*a**2.\nAnswer: 2*a*(a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2566300 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*141\/3 + (1 - 3)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 69, 131, 211, 309, 425, 559?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2883*n**5 - 3851564*n**4 - 544502449*n**3\/3 + 579998642*n**2\/3 - 24190252*n\/3 + 85800 = 0.\nAnswer: -1287, -50, 2\/93, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Let c be (-34)\/(-3) + j\/(-6). Suppose -2*n + 4*z + 35 = -c, -5*n = -5*z - 120. Solve 2*t = 7*t - n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50075.757 nanoseconds in hours?\nAnswer: 0.0000000139099325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177\/7 + 25. Let z(n) = n - 5. Let r be z(11). Let i be r\/10 + (-52)\/70. What is the third biggest value in 1\/7, x, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -478 and 3.\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 40. Let a = y - -25. Suppose a = -5*z - 4*d + 269, -z = d + 2*d - 45. Is z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*j - 56, 2*j - 4*p - p = 59. Suppose 0 = 4*l, -3*c - 5 = l - j. Suppose 4*d - 5*s = 4517, -9*s = c*d - 6*s - 4477. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/97 (b) -37 (c) 1 (d) 1.5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 5 = -203*u + 208*u - 36, k - 13 = 3*u - 4 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1) + 0 + 2 + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 22.5?\nAnswer: -11.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 18 + 27 = 0. Put 4, h, 0 in decreasing order.\nAnswer: 4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) -813 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -3*y + 2 - 80, 2*z + 818*y + 948 = z + 773*y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = d - 2. What is the highest common divisor of 6 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z + 5. Let y(m) = 11*m + 12. Let u(w) = 10*r(w) - 4*y(w). Let i be (-2)\/8 + (-17)\/(-4). Let f(a) = -7*a - 2. Give i*f(k) + 5*u(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 8 = 5*c, 10843002*c - 7*g = 10842996*c - 19 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71346872\/1883 - 37890. Is q < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 9*q - 2. Let u(r) = 7*r - 1. Let z(o) = -3*h(o) + 4*u(o). Suppose 2*k + 13 = 3*y, k + y = 4*y - 11. Determine z(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (5 + (-5 - (0 - 6)) - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*y + 17*y + 15*y)*(2*y**3 - y - y + 3*y**4 - 2*y**4).\nAnswer: 6*y**5 + 12*y**4 - 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 2*i**6\/3 - 13*i**2 + 38*i. What is the derivative of w(d) wrt d?\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + n - 2. Let y be c(2). Suppose k = -12 + y. Which is greater: -7 or k?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 24 - 22 - -53?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 + 4*a. Let l(u) = 2*u**2 - 3*u. Let r(z) = 4*l(z) + 3*v(z). Let f(g) = 66*g. Determine f(r(x)).\nAnswer: -66*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggopjxpf. Give prob of sequence fo.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7 + 4 + 6 - 18. Let y(k) = -k**2 - 34*k - 3 + 21*k + 13*k. Suppose 3*t = -v, -3*t + 3*v = 6 + 6. Give t*m(z) + y(z).\nAnswer: -z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(175) + 0 + -2)*3 + 4)**2.\nAnswer: -60*sqrt(7) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 31*j**5\/60 + 5*j**4\/12 - j**3\/3 - 8*j**2. What is the second derivative of k(q) wrt q?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807726 is divided by 2223?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13\/6 (b) -4 (c) -2 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.143 + 4.1. Let s = q + 0.063. Which is bigger: -0.4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -529.37711 - -509.763. Let r = 132.61505 + x. Let l = r + -113. What is l rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 486700 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5*c = -2*o - 1, -o = 5*c - 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 13*o**2 - 2*o - 96. Let t(i) = i. What is t(x(d))?\nAnswer: 26*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oldllodnlsondllnllll. What is prob of sequence lnnl?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -167 + 172. Which is the third smallest value? (a) 12 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -111*b**2 - 5*b + 5. Let n(r) = -444*r**2 - 22*r + 19. Calculate 15*c(y) - 4*n(y).\nAnswer: 111*y**2 + 13*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -4\/3, 10, 265, -0.5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 59 = 19*w, 80 = 964*f - 968*f + 3*w for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -11) + (3 - 3 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 682933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -20. Suppose 2*p = f - 12, 4*p + q*p - 24 = -f. Does 9 divide 148\/f - ((-33)\/12 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 12*y - 155. Let t(m) = -17*m**2 - 7. Let z(a) = 8*a**2 + 3. Calculate y*z(o) + 6*t(o).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 427 - 416. Let m(z) = 1 + 6*z + 5 + c*z + 2*z - 23*z. Determine m(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3358, -163, 1 in ascending order.\nAnswer: -163, -4, 1, 3358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 145855674*x - 145855677.\nAnswer: 3*(x - 1)*(x + 48618559)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*c - 3, 4*g - 5*c + 13 = -0*g. Calculate the least common multiple of 10 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.2 + 11.20000228. Round m to seven dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17075.\nAnswer: 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -135 + 131 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 13*z = 24. Let g(j) = j**2 + 4*j - 4. Let w be g(z). What is the greatest common divisor of w and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 168917*w + 31015.\nAnswer: 168917","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**4\/8 - 83*n**3\/6 - n**2. Let v be t(-27). Which is the closest to v? (a) -5 (b) 2\/3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbs when three letters picked without replacement from wssbswbsbb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 10 = 4*v. Suppose 2*s + 6 = -2*f, s - v*f = -3*f + 22. Suppose 0 = 3*o - s*o - 13. Calculate the remainder when 50 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8.32 * -41\nAnswer: -341.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esggeeoqgies. What is prob of picking 2 e and 1 o?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3593334*x**2 - 1 + 3*x**3 + x + 2*x**4 + 3593348*x**2 + 0*x to the form w*x + a + c*x**4 + i*x**2 + d*x**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 8, 83, 4, 52.\nAnswer: -20, 4, 8, 52, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2))**30)**6 assuming r is positive.\nAnswer: r**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 746825 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 - -113. Suppose 1464 = s*a + 232. Is a a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one fifths of a century?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35624 is divided by 989?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from fytiiyqyy?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3.5. Let h = -690 + 695. Which is the second smallest value? (a) 3\/4 (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 5. Let q be j(-3). Suppose x - 28 = -q*a + 5*x, 47 = 4*a - 5*x. Let w(l) = l**2 + 6*l + 8. Calculate the remainder when w(-7) is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -193.00000107 + 193. What is f rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95*r**4*t + 16*r**4 + 3323*r*t + 3*r - 1 wrt r?\nAnswer: -1140*r**2*t + 192*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/12 (b) 2\/27 (c) -1 (d) 490 (e) 0.1 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 284\/182 - (-46)\/(-161)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (8 - 5))\/((-2)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -30*k + 30. Let r be v(8). Round r to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 - 12*j - 67. Let z(c) = -4*c**2 + 10*c + 68. What is 5*v(x) + 6*z(x)?\nAnswer: x**2 + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26739 + -72939. Round q to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/3 - 0)*(-480)\/1680. Suppose 0*r - s*r**4 + 3\/7*r**5 + 2\/7*r**2 - 3\/7*r**3 + 0 = 0. Calculate r.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/322586 and -35\/2046.\nAnswer: 967758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -763797416*q**2 - 443556604*q.\nAnswer: -1527594832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = t, -78 = 14*o + t - 81 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 8 = c. Let p = c - -9. Calculate the highest common factor of 9 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -8. Let y(a) = 49*a + 187. Let u be y(-4). Let x(v) = -v**2 + 12*v + 165. Let z be x(u). Put 1, z, r in ascending order.\nAnswer: z, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -25. Let c(q) = q**2 - 8*q + 9. Let a be c(u). What are the prime factors of 3\/a*(-156)\/(-9)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 21, 4*m - 1807 = -8*m + g. Calculate the greatest common divisor of m and 645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = 0, -3*q + 0*q + 2*p = 0. Let z = -11 + 10. Let c be (-9)\/(-60) + z\/(-4). What is the nearest to 0.1 in c, 1\/2, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/(-51)*(-12672)\/(-1232).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*h - 32 = 163, 0 = 5*h. Suppose 5*k - 5*c - 115 = 0, 29 = 4*k - 5*c - l. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12 - (-387)\/(-36))*(-2 + -3 + 117).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85 + 88. Suppose 0 = -5*c + p*c - 3*d + 1, 4*c = -5*d + 1. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 6*f**2 - 5*f**2. Let n(l) = -420*l**2 - 15*l. Let s(p) = 60*p**2 + 2*p. Let g = 73 - 75. Let y(k) = g*n(k) - 15*s(k). Calculate y(w(x)).\nAnswer: -240*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**6\/120 + w**5\/60 + w**4\/12 - 3*w**2. Let f be o(2). Suppose f = -2*v + 3*v - 62. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158 + 205. Suppose s + 70 = 4*f, 3*f - s = -3*s + m. Calculate the remainder when 33 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhoodowrwwwrowrrwwov. Give prob of sequence wr.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 3*p + 17144, 2*s - 3*s + 5*p - 3440 = 0. Let a = s - -34339\/10. What is the common denominator of a and -1 - (82\/20 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -2, -11, -24, -41, -62, -87?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from shhcsascsaa.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 9*b**2 + 6*b - 10. Let m be r(-8). Solve -6*p = -9*p + m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + 5b?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**4\/21 - 10*i**3\/63 + i**2\/21 + 4*i\/7 + 117. What is r in p(r) = 0?\nAnswer: -2, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32304496531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 657497?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 10*g**2 + 12*g - 1. Give s(-9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*39\/27*-9. Let k be t\/(-112)*(-4276)\/(-6). Let x = k + -1808\/7. Find the common denominator of x and 151\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 5*q**2 + 12*q - 23. Let f be x(10). Suppose 909 + f = 6*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1411.79 + 1419. Let v = -7 + j. Round v to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35341 - -49660. What are the prime factors of f?\nAnswer: 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 3 - 93. Solve 0*o - 15 = 4*q + 5*o, -n = 4*q + 2*o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*i + 3*h - 71, -5*h = 5*i - 75. Let m = -22 - -31. Let z = i - m. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/3421 and -31\/23371650?\nAnswer: 257088150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-63)\/12)\/(-7)*8. Let t(m) = m**3 - 7*m**2 + 6. Let d be t(q). Let s be 168\/d*(-30)\/4. What is the greatest common divisor of s and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109062 - 59399. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 - (-17 - (-30 + -15)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + -0.56. Let m = 0.2 - 0.3. Which is the closest to m? (a) 4 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -1195974, 27 in increasing order.\nAnswer: -1195974, -2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 + 1 - 1 + (-v**3 - v**3 + 7*v**3)*(v - 4*v**2 - v).\nAnswer: -21*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25170\/623 or 0.1?\nAnswer: 25170\/623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 17 - 16)*(j - 4*j - 4*j) - 2*j - 1 - 2*j + 2*j to k*j + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-684)\/(-342) - 2\/4. Which is the second smallest value? (a) 53 (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4400) + sqrt(44))*-1 + 1*(sqrt(44) + sqrt(1100)) + sqrt(44))\/((sqrt(60)\/(-1*sqrt(5)))\/(sqrt(108)*-2 - sqrt(3))).\nAnswer: -52*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 + 248*v**3\/7 - 1062*v**2\/7 - 324*v\/7.\nAnswer: -2*v*(v - 9)**2*(7*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*c = 106*c - 10582. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -150507, -301012, -451515, -602016, -752515, -903012, -1053507?\n\"Answer: k**2 - 150508*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1750550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*k**3 + 2)*(-10 - 11 + 3) + 9*k**3 - 7*k**3 + 13*k**3.\nAnswer: -21*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 54054.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/7 + 12\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1537074 + -2?\nAnswer: -1537076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z - z)*(-2*z - z + z) + 4*z**2 - 6*z**2 + 3*z**2 + (39*z + 15*z - 22*z + (3 - 4 + 0)*(z - 4*z + 2*z)*(1 + 3 - 3))*(2*z - 2*z + z).\nAnswer: 38*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 0*y + 1\/7*y**4 - 8\/21*y**3 + 0*y**2 + 1 + 8\/35*y**5 - 2\/21*y**6. Suppose n(c) = 0. Calculate c.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.29712 + -0.0984. Let q = -6 - -6.2. Let a = h - q. Round a to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -226 - -229. Find the first derivative of -44 - 79*x**f + 244 - 58*x**3 wrt x.\nAnswer: -411*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(2*s + 2*s - 2 - 3*s).\nAnswer: 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h. Suppose -4*u - 12 = -10*u. Let p(z) = 2*z**2 - 18*z. What is u*p(s) + 18*d(s)?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 11*l**3 + 2*l**2 - l + 2. Let h be t(3). Let w = h + -129. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 231 + -176. Let j = 30 + -1. What is the remainder when w is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21090 is divided by 822?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 36804422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/8*25*(-6)\/(-550)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 6*h - 4. Is 26 a factor of h\/6 - (-626)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j - 14*j - 51 - 35 = 0. Let b(l) = -15*l**2 + 4*l + 5. What is b(j)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 85*x**2\/4 - 5251*x - 834735 = 0. What is x?\nAnswer: -110, 30354\/85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6091 - 10420 - 5323 + 14472)*(0 + 0 - 1)*(-4*i + 5*i + 1 + i).\nAnswer: 14724*i + 7362","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**3 - 40*m**2 + 225*m - 180 = 0. Calculate m.\nAnswer: -12, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (53\/(69960\/90))\/((-9)\/24 + -3)?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 3, -6, -19, -36, -57?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17369 - 0.13253.\nAnswer: -17369.13253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 464967 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -194*h + 1 + 182*h - 5 as p*h + q and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 14 + 14. Let w be (m + 6)*2\/(-5). What is the third biggest value in -1\/2, -0.4, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 205.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z. Let v(o) = 0 + 0 - 12*o + 10*o. Give v(r(g)).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**3\/3 + 9*h**2\/2 + 5*h + 14. Let n(b) be the first derivative of j(b). What is the tens digit of n(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0044039 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ab - 118e?\nAnswer: -ed3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399728*r - 418856*r - 33473*r - 531521*r.\nAnswer: -1383578*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/3)*v)**37\/(v**(-4)\/((v*v**(-16))\/v)))**(-4) assuming v is positive.\nAnswer: v**(-892\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 233549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -2 - sqrt(5)) + 2 + sqrt(25)\/sqrt(5).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/16*2*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2138 - -2141. Suppose -8 = -3*m + m. Are a and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -v - 3*m, -4*v + 8*m + 12 = 4*m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = j - 147. Suppose 0*h + j = 3*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6458018 times 0.06\nAnswer: 387481.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 12*q - 5. Calculate j(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 4, 0.1, 0.2, 8.3 in descending order.\nAnswer: 8.3, 4, 0.2, 0.1, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2*(-2)\/(-71868)). Let f = 85434 - o. Suppose -2*u = 3*u - f. Round u to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + r - 8*r + 2 - 2*r.\nAnswer: -8*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -0.089, 78227, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**7\/105 - x**6\/30 - x**3 - 159*x**2 + 2. Find the first derivative of o(h) wrt h.\nAnswer: 8*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -g - 1, -3*g - 2486*a + 2489*a = 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1820 is divided by 270.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54037 is divided by 405.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6619687 divided by 4\nAnswer: -6619687\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4862077*j + 34034542. Give l(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7 - -5.3. What is k rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 8 + 2. Suppose 0 = 2*d + f*d - 116. Let v = 7 + 3. What is the remainder when d is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34304200 (base 5) in base 10?\nAnswer: -306800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 13*p + 45. What is the remainder when z(-18) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 47*q**2. What are the prime factors of w(-1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2.95. Let h = 0.45 + a. Let b = 0.2 + 0. What is the closest to 1 in b, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6057347, 6057338, 6057329, 6057320, 6057311, 6057302?\nAnswer: 6057293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -65. Which is the closest to 0.1? (a) j (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.7674 to 1 dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from riryryryydyxryqryix. What is prob of sequence rr?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1986*c + 2611*c - 3289*c - 4049*c - 603*c.\nAnswer: -7316*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685359 is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (3 + -3 - 0) - 10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -15*z**2 + 0*z**3 + 0 + 0*z**5 + 74*z + 0*z**4 - 32\/15*z**6. What is the derivative of m(k) wrt k?\nAnswer: -256*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16680 to the nearest one hundred.\nAnswer: -16700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 161, 403, 725, 1127, 1609, 2171, 2813?\n\"Answer: 40*r**2 + 122*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6996 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 13*w - 729 = 0. Factor 81*h + 2*h**4 - w*h**3 + 3*h**2 + 7 - 5*h**4 - 6 - 1.\nAnswer: -3*h*(h - 1)*(h + 1)*(h + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 17*d**2. Let s(a) = -5*a. Give s(b(o)).\nAnswer: -85*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 2) + 3 - (17 - (12 - 3))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(50\/15 + -3). What is the second biggest value in 2, 3\/2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1118.7 - -1121.7. Let f be (-6)\/(-4)*4\/(-6). Let t be -2 - f\/(2\/14). What is the biggest value in t, n, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -55, 0.6, -1.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 31*y. Let n(s) = -2865*s. What is n(h(j))?\nAnswer: -88815*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1258, 611, -32, -671, -1306, -1937, -2564?\n\"Answer: 2*a**2 - 653*a + 1909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**4*y + 3*u**4 + 127*u**3*v + 26*u**2*y + 91*u*y - v wrt u?\nAnswer: 24*u*y + 72*u + 762*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 536 - -4?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2447636.\nAnswer: 2, 31, 19739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736195 is divided by 428?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, f: 1}. Give prob of picking 1 f and 1 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 12 - (4 - 1) - (-68 + 47).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 560417665 to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -14, 3, 7\/2, 0.2 in descending order.\nAnswer: 7\/2, 3, 0.2, -14, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17 (b) -45\/4 (c) -35 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - 8*a**3 + 0*a**3 + (-a**2 + 0*a**2 - 2*a**2)*(-3*a + a + a) as c + s*a**3 + d*a**2 + z*a and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/300 and -127\/18.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 122, 152, 202, 272?\n\"Answer: 10*i**2 + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2140621?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1748 and -0.2581.\nAnswer: 451.1588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -533 - -2638\/5. Find the common denominator of j and 28\/19.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 512\/(-56)*854\/244\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - v**3 - 4 + 4*v**3 - 4*v**3 + v**3 + (2 - 2 - v)*(-1 + 2*v**2 + 1))*(-9 + 1 - 6)*(-2 + 6 - 1) + v**3 + 2*v**2 - 2*v**2.\nAnswer: 85*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 182579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**2 - 4*z**3 - z - 2*z**2 + 5 + 2*z**2 + 3*z**3. What is the least common multiple of g(-5) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.88 and -2.\nAnswer: 5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-2) + 20\/15. What is the second smallest value in -1, p, 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.467 + 1.467. Which is the closest to 0.1? (a) -34 (b) i (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2.04. Let m = 20 - -6. Let i = -25 + m. Is i at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9899*f**4 - 36*f**2 - f + 27?\nAnswer: 237576*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7847 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 7. Let n(m) be the first derivative of m**2\/2 + 2. Let u(f) = h(f) + 2*n(f). Let g be u(11). Solve -5*z + g - 24 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.144 times -1840?\nAnswer: -264.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 + -65. Suppose -27 = -q - 3*v, -5*v = 4*q - j - 55. Is 23 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 6. Let d be 2\/(-10) - (222\/15 - 3). Calculate the smallest common multiple of n and (6 - 7)*d\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**2\/2 + 8109*f\/4 - 4053\/4 = 0.\nAnswer: 1\/2, 1351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1900) + 4 + sqrt(1900) - (sqrt(38)\/sqrt(2)*1 - (sqrt(57) + -2*sqrt(57))\/sqrt(3)).\nAnswer: 1 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 4)*(1 - 5 + 1)*(0 + 2 - 1)*(-38*x + 4*x - 28*x).\nAnswer: 558*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 103*o + 1\/6*o**4 - 2*o**2 - 1\/3*o**3 + 1. Let i(f) = 8*f**2 - 9*f - 16. Give 9*h(g) - 2*i(g).\nAnswer: 2*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + ((-84)\/8)\/3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 - 410?\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 230 - 116. Suppose -171 = -3*r - p, -r - r - 3*p + d = 0. List the prime factors of r.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-62 - 7 + 7)*(2*g**2 + 2*g**2 - 3*g**2) to w + m*g + b*g**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-455085)\/(-315) - (-45)\/(-63). What is the highest common divisor of u and 760?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 25575 (b) 7 (c) -40.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1 (c) 0.2 (d) -1276\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-6))\/((-2)\/(-30)). Let s = -7 + g. What is the lowest common multiple of s and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*t*t**(-5)*t*t*t*t)*t))\/t*t*t\/t**(-1\/2))\/(t**2*t**(-2\/3)))\/((t**(1\/2))**(-3\/31)*(t*t**1)\/t*(t\/(t\/t**(-4)*t))\/t*t*t) assuming t is positive.\nAnswer: t**(299\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 3) + 3 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (3 + -2))\/(40\/(-60)). Suppose 5*h - i - 12 = 0, -r*h + 3*i + 12 = -0*i. Let j = 9 + -4. Put h, j, -1 in descending order.\nAnswer: j, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3936337274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12*33\/522720*-44\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7513788 is divided by 150?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 6*b**2 + 10*b - 4. Let s be x(4). Let m(z) = -z**2 + z + 1. Let f(r) = r**3 - 4*r**2 + 4*r + 4. Determine s*m(w) - f(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 579 (b) 8 (c) -0.0397\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (10 - 6)) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243 and 10665.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6661253 times -0.2\nAnswer: 1332250.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 77*l - 6. Let r be w(4). Let m be (r\/(-8))\/(8\/(-32)) - -3. Suppose b - 4*v = -7 + m, 153 = b + 2*v. What are the prime factors of b?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7496317?\nAnswer: 19, 41, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-31 - (-4 + -12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -925, -954, -1003, -1072, -1161, -1270?\n\"Answer: -10*f**2 + f - 916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s + 28. Let v be y(-10). Let l = 14 + v. Solve 2*z - 2*d = 3*z - 4, l*z = 4*d - 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10241587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2988 and 137780?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33358.\nAnswer: 2, 13, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert f (base 16) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1042*i**3*n - 3361*i**3 wrt n.\nAnswer: 1042*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 43110 = -3*x. Let f(g) = 2 - 8351*g**3 - g**2 + 2*g - 1 - x*g**3 + 6071*g**3. Let i be f(-1). What is i rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 24 = j. Let v(c) = -4 - 6*c + 4 - j + 3 - c**2. Let o be v(-2). Solve -o*s + s = -16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1720*r**2 - 10*r. Let b(y) = -4*y**2. Determine k(b(v)).\nAnswer: 27520*v**4 + 40*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-963)\/(((-5)\/(-30))\/((-4)\/6)). Let l = -2737 + j. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2517.643445 rounded to the nearest integer?\nAnswer: -2518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 3*n - 6 + 1, 21 = -4*s - n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2090712*a*d + 12644*a - 54 wrt d.\nAnswer: 2090712*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96 * -0.04.\nAnswer: 3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/5 - 77*t**2\/5 - 19479*t\/5 - 1944.\nAnswer: (t - 120)*(t + 81)*(2*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 96335931 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 12232?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1671?\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 293909955*j**3*q**3*w - 5048*j**2*q**3*w + 401*j**2 + 2*j*q**3*w + 2*j*q + 12*q**2*w wrt j.\nAnswer: 1763459730*q**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -43*x - 119. Calculate the remainder when 368 is divided by a(-4).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 1762*s**2 - 383638*s + 1962490.\nAnswer: -2*(s - 5)*(s + 443)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -30*a**2 - 41*a**2 - 1464 - 250*a - 474*a + 75*a**2 = 0.\nAnswer: -2, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -371*h + 369*h. Calculate the least common multiple of 3 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*k**2 - 4*k**2 + 10*k**2)*(-4*k - 8*k + k) as p*k**2 + n + o*k**3 + t*k and give o.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -5. Let w be (-1 + (g - -1))*0. Let o = 3 + w. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 + 77*l - 445. What is a(6)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*s - 4*l, 242 - 470 + 237 = -s + 3*l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3 + 17. Let m = -0.8 - -3.8. Let y = 2.8 - m. Which is the closest to -1? (a) 0.1 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -0.3 (b) -1 (c) 0 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/11, -246 in decreasing order.\nAnswer: -2\/11, -5, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57380*i**3 - 139042*i**3 - 20241*i**3.\nAnswer: -216663*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - b = 15, 0 = -2*b - 0*b. Suppose 0 = l*s + 10, 2*k + 3*k + 2*s = 36. Solve -3*n + 25 = -k*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3536*z. Let m(a) = -208*a. Determine 52*m(v) + 3*q(v).\nAnswer: -208*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48263.11l in millilitres?\nAnswer: 48263110","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 1. Let a = -4 + -1. Let p = 4 + a. Let c(u) = u**3 - 2*u + 1. Let t(x) = p*c(x) + 2*q(x). What is the first derivative of t(g) wrt g?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -10.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(102)*-6)\/(sqrt(24)\/sqrt(4)*3 + sqrt(486)*2)*2.\nAnswer: -4*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2267298357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - -6.6. Let i = -5 + r. What is the biggest value in 1, i, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t - 6*t = -198 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 + 1. Let m = -8.3 + -2.7. Let r = m + 16. Which is the second smallest value? (a) -0.2 (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1010101110001000010?\nAnswer: 1010101110001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4297 + 76288.76.\nAnswer: 71991.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-10) - 8\/(-20). Let g be (j\/(-3))\/((-1)\/3). Suppose 5 = -i - 4*i + 5*m, i = 4*m - 13. Solve -i = -g*h + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 10:02 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-4)*1168\/(-365)*4\/((-4)\/1).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 7. Let l(s) = 1 - 3 + 2 + s**o. Let q(y) = -17*y**2 - 9. Let v(x) = 4*x**2 + 2. Let j(h) = 2*q(h) + 9*v(h). Determine j(l(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 14. Suppose 136 = -r + s*r. Let t(a) = -34 + a + r + 2*a. Let u(l) = l**2. Give u(t(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/35 - (-6)\/(-15)*-1. Let q = 6 - 3. Suppose -5 = q*m + 2*v, -5*v = m - 0*m - 7. What is the closest to 0 in -0.05, p, m?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (17 + -12)\/(-2 + 3). Suppose -209 = -4*z - q*a, -43 = -z + 3*a - 12. Calculate the greatest common divisor of z and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)\/(v*v\/(v*v**7))*v**(2\/17)\/(v*v*v*v**6*v) assuming v is positive.\nAnswer: v**(-83\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 17, -0.16 in ascending order.\nAnswer: -0.5, -0.16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78650 and 35384635.\nAnswer: 353846350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2*(-5)\/5650) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-851)\/777 + 6\/63. What is the closest to c in -5, 0.3, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/24 and -121\/2910.\nAnswer: 11640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*c - 4*c, -5*q - 2*c + 199 = 0. Suppose 0*o - 3*o = -6. Suppose -q = -o*z - z. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1190 and 79\/216546?\nAnswer: 7579110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 849 a factor of 50176274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/9 + 19196*v\/3 + 46060802.\nAnswer: 2*(v + 14397)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.67558 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 115870 and 115877 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 25766.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1692534?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007849175 to six decimal places.\nAnswer: 0.000785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*o, -3*p = 2*o + 15 - 4. Calculate the common denominator of (-1)\/(-7) + 10758\/1232 and -11*(-2)\/(-16) - p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0*f**3 + 3*f**2 + 0*f - 1 + 0*f**4 - 41\/30*f**5. Let j(g) = 2*g**2. Calculate j(h(b)).\nAnswer: 13448*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1046 times 0.4\nAnswer: 418.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*d = 1418, 52*x - 58*x + 1704 = 4*d. Solve -x*f + 11 = -275*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -213*x + 19*x + 25*x + (0*x + 4*x - x)*(-3 + 1 - 2) + x + 1 - 1.\nAnswer: -180*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 8*n + 132. Let m be (-1)\/(-3) + (-2 - 36932\/n). Suppose -m = -2*r - 2*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 113946355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/(s**(-2\/3)\/s))\/((s**(-2\/5)*s*s)\/s**(2\/15))*(s*s**1)**(-17\/2)*(s*s\/((s*s**(1\/2)*s)\/s)*s)**(-15) assuming s is positive.\nAnswer: s**(-343\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 0 (c) -4.7 (d) 1 (e) -2 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7.1954 - -0.4\nAnswer: 7.5954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 680 and 726680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 8 - 8)*(2 - 1 - 2).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 9:44 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146359 is divided by 1640?\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2385218 and -12.6.\nAnswer: -30053746.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-1 - -1)) + -59 + 65?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46154 - 375512 = -14*w. Suppose -w + 3905 = -6*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117 (base 11) to base 12\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 10. Suppose -5*j - 3*n + 77 = 0, -3*j + 79 = 2*j + n. Suppose 4*s = -j, w - 3*s - 6 = -0*w. What is o(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 243062?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.92 (b) 1\/9 (c) 2\/9 (d) 24 (e) 2.3 (f) 1\/5 (g) -159\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**7\/21 + 2*d**5\/5 - 1959*d**4\/8 + 2*d**2 - 381*d - 4. What is the second derivative of s(p) wrt p?\nAnswer: -120*p**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41.6 - 42. Let o be 4\/6 - 40\/(-12). Put x, 0.1, o in descending order.\nAnswer: o, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3 + 908*y**2 + 102144*y - 207936 = 0.\nAnswer: -228, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from eeer?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22713 + 0?\nAnswer: -22713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -961, -6003, -15115, -28297?\nAnswer: -45549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.064 times -1.44257\nAnswer: -0.09232448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 16 = 2*l, 11*l + 2*u + 353 = 412 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.46 in 2, -5, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15590 + -16431098243.\nAnswer: -16431113833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-18 + (5 - -2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w. Is 1\/11 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 4050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -329 + 329.122. Let y = 0.622 - q. Which is the biggest value? (a) -2 (b) y (c) -4 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*j + 27. Let l(g) = -2*g**3 - 37*g**2 - 18*g + 10. What is the least common multiple of j and l(-18)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 653*m**2 + 12*m**3 - 653*m**2 + (-m - m**2 - 29 + 29)*(-1 + 6*m + 1) as b + j*m + p*m**3 + w*m**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -159500 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 10*t - 9*t. Suppose 0 = -t*f + 2, q - f = -9 + 28. Suppose 5*u - q = -3*m, -4*u = 11 + 9. What is the remainder when m is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.13 + 0.19. Sort p, -0.2, -0.4 in descending order.\nAnswer: p, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22757.\nAnswer: 7, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = f + 29. Let i be (-7)\/((-6)\/9 + 184\/312). Is i greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -189, -192, -197, -204, -213, -224, -237?\n\"Answer: -k**2 - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-6)*(-3 + 0). Is 4 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -57*y - 954. Let m be b(-17). Solve -m = -2*h - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 e, and 2 t when four letters picked without replacement from tellvlstvdt.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2078211294?\nAnswer: 2, 3, 31, 3724393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 422818261 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 737 + -8113\/11. Let s = -7.4 - -7.6. What is the second biggest value in -5, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r**2 + 2*r. Let u(m) be the first derivative of m**2 + 25. Determine u(k(s)).\nAnswer: -14*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-30)\/(-20))\/(-1 + (-13)\/(-4)). Which is the nearest to h? (a) -0.5 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/60)\/((-2)\/(-9 - 1)). Solve s*w = -w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 5, -4, -2, -5 in ascending order.\nAnswer: -5, -4, -2, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*(-44)\/(-275))\/(68\/10).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/55 and -49\/75.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 88*a - 1597. What is m(62)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-469)\/(-21) - 21)*15\/4. Solve 5*h + 4*y - 21 = 0, -2*h + 18*y + i = 23*y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -35. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11287173 and 2454.\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 10*h - 11*h**2 - 5*h**2 - 7 - 3*h. Let z = 5687 - 5682. Let s(d) = 11*d**2 - 5*d + 5. Give z*r(o) + 7*s(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 915085 is divided by 1676.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 9*f - 105. Suppose o = -3*p - f, 4*p - 2*p = 3*o - 3. Is -6 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2) + -1 + 5.\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1142 + 750 = 0. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*c = 21, -5*q + 3769 - 3730 = -2*c. Solve -q*r - 4*s = -6*r + 10, 2*s = -5*r - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 2:22 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**4\/6 - 2*u**3\/3 + 69*u + 19. Let p(z) be the first derivative of g(z). Solve p(q) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429367181?\nAnswer: 17, 293, 86201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(66)*2*4*-6)\/((sqrt(6) - sqrt(480)\/sqrt(5))*6).\nAnswer: -2 + 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 68. Let b(n) = -37*n - 22. Let t be (-3)\/2 + 11\/((-88)\/76). Let o(p) = -7*p - 4. Let h(g) = t*o(g) + 2*b(g). Give r(h(c)).\nAnswer: 18*c**2 + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-282)\/(-7))\/(8\/(-56)). Let t = 652 + w. Let g = -211 + t. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/12 - 1\/(-4) and (6 + 1 + (-750)\/108)*-22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -60. Suppose 11 - 1 = 5*f. Let h be (-13)\/(-4) + f\/(-8). Put 4, h, l in decreasing order.\nAnswer: l, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -102*c**3*n - 11*c**3 + 5*c + 7*n**4 wrt n?\nAnswer: -102*c**3 + 28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 124562 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 - (38\/(-14) + 6\/(-21)). Let j(t) = t**3 - 12*t**2 + 3*t - 2. Let n be j(i). Let y = 17 + n. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.02 - -0.02. Let g(x) = x**3 - 13*x**2 + 12*x - 3. Let q be g(12). Which is the smallest value? (a) 3 (b) q (c) 0.1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*t*w**5 - 54*t*w**3 + 5809*t*w**2 wrt w?\nAnswer: -1440*t*w**2 - 324*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67011?\nAnswer: 3, 7, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + sqrt(45))**2 - (sqrt(450)\/(sqrt(10)*-2))**2 - (-1*sqrt(45) + 4)**2*3) + 5.\nAnswer: -581\/4 + 66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 261\/(-12) + (-5481)\/2436\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 105. What is the nearest to 2\/3 in -0.2, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. Suppose -271*v - 90 = -301*v. Solve 6*o - k - 2 = v*o, -8 = 3*o + g*k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 67709728\/9 and 7523302 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 10 = -2*a. Let y(o) = 3*o - 5. Let s be y(4). Solve -r - k = -0*k + s, -a*r - 20 = 4*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - 2) + (-4)\/(-24)*66 + -5. Which is smaller: a or -2828?\nAnswer: -2828","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102012220111 - 20?\nAnswer: 102012220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j - 24*j + 52*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/2)\/((-2)\/20). Suppose 0*o = 5*o + 55. Let a = o + j. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 4. Suppose -34 = -3*w + 4*s, 4*w + s = 26 + k. Calculate the smallest common multiple of 3 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3107213100 rounded to the nearest 1000000?\nAnswer: 3107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*n**3 - 13319*n + 19509?\nAnswer: 9*n**2 - 13319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5999 - 0.011?\nAnswer: -2.6109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3212a (base 15) to base 11\nAnswer: -a9416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -203\/3 + 81. What is the common denominator of z and -4 + 0 + (-492)\/(-205) - 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.7 and 0.567831?\nAnswer: 2.267831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**2 + h**2 + 2*h**2)*(1 + 1 + 1)*(66*h - 72*h - 26*h) in the form y*h + f*h**3 + n + z*h**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -15*u + 51. What is the tens digit of j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 116?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - o + 2. Let c be a(2). What is the units digit of (c + -7)\/((-6)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36 and -0.058?\nAnswer: 2.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(297) - sqrt(297)*1)*-1)\/(sqrt(11) + (sqrt(99) - -1*sqrt(99)) + sqrt(11) + -2*sqrt(99)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/((-25)\/(-20)). Let z = o - -16\/15. Solve 0 + 2\/3*x**2 + z*x = 0 for x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 14 = -5*z. Differentiate -9 + 11 - 2*x**2 - 10*x**z with respect to x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33c54 (base 13) to base 3.\nAnswer: 11210110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 1. Let c(n) = 5*n - 6. Let d(w) = c(w) + 6*q(w). Let t(b) = -9*b. What is d(t(h))?\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*s + 3648 - 1320 = -2226 for s.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-21)\/(-2)*(11 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-108)\/21)\/(-3) + -2. Let f = -4.3 + 4. Sort f, -0.2, t in increasing order.\nAnswer: f, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77 divided by -1027478\nAnswer: 77\/1027478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51060 - -123871. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 11:00 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*i, 4*g - 44 + 4 = -4*i. Suppose 0 = s + 3*s - 16, -3*d + 5*s = g. Suppose -8 - 4 = -d*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*y - u, -2*y + 3*u - 4 + 15 = 0. Is 6 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0.2. Let p = -3.23 - 0.37. Let b = p + 3.7. What is the biggest value in b, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122413332491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 36. Let r(k) be the first derivative of 17*k**2\/2 + 6052. What is r(a(f))?\nAnswer: 34*f**2 - 612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o + 2 - 2. Let q(c) be the first derivative of -c**6\/180 - 2*c**3\/3 + 2. Let p(f) be the third derivative of q(f). Determine p(s(a)).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -20. Let d = r - -97. Let c = d + -105.0067. Round c to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 15*h**2 + 2*h - 5*h**2 as l*h**2 + x + i*h and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 331*t + 14433. Give b(39).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnx when three letters picked without replacement from kxnaxxnkx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**2 - 46*t + 173. Give d(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 48*x - 141. Determine n(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 23 = -u, 0 = 4*z + 6 + 10. What is the third derivative of 8*v**4 + 8*v**2 - 12*v**2 + u*v**2 wrt v?\nAnswer: 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(272) + 0 + sqrt(272)))**2 + (1 + sqrt(272))*-6.\nAnswer: -24*sqrt(17) + 27194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -b - 18. Let d = 96 + b. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21260549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13650488 is divided by 1102?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = -4*s + 3*r, 406450*r = 4*s + 406455*r + 65 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, y: 3}. Give prob of sequence ty.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**0*r*r\/((r*r\/r**3*r*r)\/r)*(r\/(r**(-2\/5)*r*r))**15*(r**(-4)\/(r**(-1\/2)\/r))\/((r\/(r**(-6)\/r*r))\/r*r*r**(4\/3)*r) assuming r is positive.\nAnswer: r**(-107\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 4*n = -12, -97*k - 3*n = -93*k + 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4*(-15)\/48)\/(1\/4). Differentiate 6 + 29 + l*b**2 - 9*b**2 with respect to b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**5\/3 - 5*r**4 + 9*r**3 - 13*r**2\/3 = 0. Calculate r.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/3))**(8\/3))**(-1\/16) assuming b is positive.\nAnswer: b**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.972 * 1333210.\nAnswer: -1295880.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3478.76 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + 7*k**2 - 2*k**2 + 4*k**2 - 4*k**2 - k**2 + 4*k**2 + 35*k**2 - 15*k**2 + (0*k + k + 0*k)*(3*k - 2*k - 2*k).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(153) - (sqrt(17) - ((sqrt(833) - sqrt(17)) + sqrt(17)))*-1)*-6 + -2.\nAnswer: -2 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64131836 + -0.053?\nAnswer: 64131835.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.9 + 1.9. What is the second smallest value in 0, 0.5, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/18)\/(7 - 536\/72)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 22 = 3*f - 5*c, -3*f = -2*c - 26. Let z(s) = -s**3 + s - 2. Let w be z(2). What is the lowest common multiple of f and ((-66)\/w)\/(6\/16)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*j - 33. Let v = -12 + j. Which is the closest to 2\/7? (a) v (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 2199d7?\nAnswer: -2199d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2694 + -5074?\nAnswer: -7768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.0993 - 0.0993. Which is the second biggest value? (a) r (b) -5 (c) -8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 3, s: 2, l: 1, i: 3, j: 1}. What is prob of picking 1 i, 1 s, and 1 z?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56.6 - 47.66. Let c = 9 - g. Let h = -0.04 - c. What is the nearest to h in -2, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 27*k**3 + 2*k**2 - 1. Let x be z(1). Suppose 0 = f - 1 - 38. Let s = f - x. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a week?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.907 - -2.967. What is the second biggest value in -2\/11, -4\/21, n?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/231 and -49\/4211.\nAnswer: 972741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 6*z + 816. What are the prime factors of z?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -35 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 260*l**2 - 24*l**3 - 5*l**3 - 12 + 6*l + 282*l**2 - 542*l**2 to w*l**3 + z*l**2 + q + u*l and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.077410311 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -407 divided by -591?\nAnswer: 407\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 810 and 6306.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.04, -2\/9, -42\/13, -0.081, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.8 + 5.80000103. What is j rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41\/6 - -70\/3. What is the common denominator of -49\/8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 5:17 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.6 - -2.6. Let o = -11 - r. Which is the biggest value? (a) -2 (b) o (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 81\/210 - (-38)\/(-380). Factor -2\/7*f**2 + 0 + g*f.\nAnswer: -2*f*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 - 18*v**2 - 7*v - 54. Give p(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150 by 6.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**4\/4 + 2*r**3\/3 + 2*r**2 - 3*r - 1. Let c be a(3). Suppose i - 4*i + 6 = c. Solve -z = -i*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 908055 and 9988620\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t - 6 + 6)*(-220 - 3*t - 6*t + 219).\nAnswer: 63*t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1120721556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 334080 by -6.\nAnswer: -55680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 17\/5, 5\/3, 571.6 in descending order.\nAnswer: 571.6, 17\/5, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 4*j - 2*c, 0 = j + 2*c + 2*c - 49. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 3:26 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -u - 5*y + 1, 32 = 4*u + 5*y. Suppose 0 = a + 3*z - 37, -3*a = -5*a + z + 39. Solve -5*o + u = -a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 4:48 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4250)\/(-6) + 2\/3)*1. Suppose -x = 4*u + 5*v, u + 75 + 86 = 2*v. Let b = u + 321. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0127? (a) -0.6 (b) -0.5 (c) -4 (d) 3 (e) -15 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.04, 3, -307, 2, -2\/3823?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + r - 13. What is u(8)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + h + 1. Let z be x(0). Let b(c) be the third derivative of c**4\/24 + 4*c**2. Let f(m) = 5*m. Let w(d) = z*f(d) - 4*b(d). What is w(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 152, 2, -5, 3, 0.2, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -4. Let p be 42 + o + -1 + 0. Suppose -5 = -3*h + p. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 674, 670, 664, 656, 646, 634, 620?\n\"Answer: -f**2 - f + 676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-9)*-1*(-38 + -2). Let k = 28 + j. Which is the nearest to -0.01? (a) k (b) -1\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 542539.0219 rounded to the nearest 100?\nAnswer: 542500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 5*h**2 - 130*h + 27. Let k be j(-15). Which is smaller: -297 or k?\nAnswer: -297","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + v + 5 - 22 = 0, -5*v = 15. Calculate the smallest common multiple of (-4 - (-315)\/j)*(-12)\/(-15) and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 4*k, 2*r - 8*k + 6*k = -0*k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -833145 divided by -166629\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h = -38*h - 36. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 y when four letters picked without replacement from {y: 5, i: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 30*n - 75 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h*h*h*h**(-1)))))**39*(h\/(h*(h\/((h*h**(2\/3))\/h)*h)\/h))**(7\/12) assuming h is positive.\nAnswer: h**(-1411\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*n - 1. Put 20, 0, n in increasing order.\nAnswer: 0, n, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.18 + 3.3. What is the closest to 1 in n, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 27*i + 14*i - 61*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*j**2 - 65*j**2 + 221*j**2 + 297*j**2.\nAnswer: 589*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242997975 divided by -5?\nAnswer: -248599595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, -9.4, 5, -0.1, -6\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (246\/(-16))\/(-3) + 12\/(-100 - -4). Solve -p = 3*r - 1, -d*p - 23 + 9 = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -48. Calculate the remainder when 62 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 3*t + 1. Let a be z(-3). Let o = a + 18. Suppose -r = b - 32, 5*r + 3*b = 7 + 147. What is the remainder when r is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58*j**2*w**2*z**2 - 1601*j**2*z**2 - 2*j**2*z - 2*j*w**2*z - 2*w*z - 1812 wrt z?\nAnswer: 116*j**2*w**2 - 3202*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of ((-1325)\/100)\/(3346\/10056 - 3\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p. Let b(h) = 6*h - 40513. What is b(n(z))?\nAnswer: 18*z - 40513","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + k + 11, 7*c - 5*k = 4*c - 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5 + 7. Let b(w) = 7*w**2 + 10 + 4*w + a - 6. Let x(l) = 3*l**2 + 2*l + 3. Let r = -25 + 20. Give r*x(n) + 2*b(n).\nAnswer: -n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 8:31 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/93996915 and 115\/18.\nAnswer: 563981490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - c + 32 = -3*x, 4*x + 109*c - 791 = 90*c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 699 = -5*v, -230*v - 3*f = -233*v + 387. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = 4*h + 81. Suppose 3*b + 0*b = -h. Let l = 36 + b. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22021222 (base 3) in base 7?\nAnswer: 23426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 659252 + -4.6\nAnswer: 659247.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3063140 divided by -1.\nAnswer: -3063140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 307647?\nAnswer: 3384117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 249560*h + 3892512100.\nAnswer: 4*(h - 31195)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 8:53 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -343851 + 1658393381\/4823. Let d = -525131\/347256 - j. What is the common denominator of 143\/18 and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3*h - 15 = 0, 2*d - 5*h - 58 = -33 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2 - i + 1. Let s be b(1). Suppose 0 = -s*j - 4 - 6. What is the units digit of -2*j\/8*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*q + 749*q = -12240 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**4\/12 - a**2\/2 - 44*a. Let c(o) = 4*o**2 - 3. Let q(s) = 4*c(s) - 12*u(s). Let v(m) = -13*m. What is q(v(r))?\nAnswer: 676*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) -2\/203 (c) -0.404\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.2, 1\/8, -3, -0.376, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05059607 rounded to four decimal places?\nAnswer: 0.0506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 512*o - 20*o - 36*o + 540*o + 93*o. Let w(h) = -h. What is w(c(j))?\nAnswer: -1089*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 39, 92, 197, 372, 635, 1004?\nAnswer: 1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 2 - 7)*(-11*l - l + 2 - 4*l).\nAnswer: 256*l - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/1332 and -89\/10.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d*y**4 - 178953*d*y**3 - 16*d*y**2 - 2*d*y + 906*d + y**5 + 15*y wrt y?\nAnswer: -48*d*y - 1073718*d + 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 4*r + 24, -5*r - 79 = -5*s - 19. Suppose -s*i + 281 = -1959. List the prime factors of i.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.93088 - -0.06912. Which is the third biggest value? (a) 0.5 (b) -1\/2 (c) q (d) 5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18 + (4 - (-1 + 2)). Suppose -6*l - r = 33. Let p be 37\/l - 2*-2. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 12*c**2 + 3*c + 88. Let f be m(11). Solve -3*n - 3*k = 21, f = n - 5*k + k - 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 12:39 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1510, -1514, -1520, -1534, -1562?\nAnswer: -1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08270463 rounded to 3 decimal places?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 27*f**2 - 53*f - 55. Let z be u(-25). Solve -40*a + 36*a = -z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 9. Let g = j - 2. Let s(h) = h**3 - 3*h**2 - 2*h - 3. Let c be s(g). Solve 2*z + 5*b = 15, -17 = 5*z - c*b + 33 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 + (-66 - -19) - 9?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 = 3*n + 33. Let i = -91 - n. Calculate the highest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.607 - -0.507. What is the second biggest value in 0, -32, 2, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1299.668kg to milligrams.\nAnswer: 1299668000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201.901*4.\nAnswer: -807.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*x + 1010 = -5311, -3*x = 2*p - 3153. What is the highest common factor of p and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -2 - (1 - (-3 + 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210\/24*64\/56.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 7\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -345 + 295 + (66 - -20).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 + 2 = 0. Let u = 6 + l. Sort 2, u, 0 in descending order.\nAnswer: u, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -546.0644 + 546. Let m = f - -0.0284. Round m to 3 decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x + 422974 = 90*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -2*y**5\/5 + 11*y**4\/2 + 52*y**3\/3 + 1038. Factor q(m).\nAnswer: -2*m**2*(m - 13)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 5. Let l = -14 + 8. Give r(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-438)\/(-4))\/(33\/(-22000)). Round l to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -153985 or 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*q = -y - 28, -5*y = 2*q - 4. Suppose -q*p + 4 = -11*p. What is the closest to 1\/3 in -3, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 695 - 221 - 233 - 241 - 10*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**4 + 30*d**3 + 48315*d**2 - 30*d - 48312 = 0.\nAnswer: -122, -1, 1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 7*l**2 - 15*l - 57. Let c be o(-6). Let x be -1 + 0 - 0 - -1. Put 1, c, x in decreasing order.\nAnswer: 1, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - i + 1. Let j(x) = -x**3 + x**2 + x. Let t be j(0). Determine f(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 7:43 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 4, p: 2, r: 2, k: 3}. Give prob of sequence pn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2957, -3502, -3997, -4418, -4741, -4942, -4997?\nAnswer: -4882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - -61. Solve -148*j = -133*j + p for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 792*p - 3850 = -13667 - 6815 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 4. Let i(f) = -f**2 - 9*f - 13. What is the remainder when 18 is divided by i(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/7))**42*(g**12\/g)**50)**(3\/4) assuming g is positive.\nAnswer: g**(879\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23857 is divided by 97?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 38*h + 7. What are the prime factors of m(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 6:58 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 21*f - 26. Calculate i(17).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) - (3 + (sqrt(68) - sqrt(68)*-1) + sqrt(68)))) + 1 + sqrt(68) + sqrt(68) + 0 + sqrt(68))**2.\nAnswer: 96*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/60 of a hour?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 203*i**2 + 5*i + 9. Let c(g) = -101*g**2 - 2*g - 4. What is -5*c(s) - 2*n(s)?\nAnswer: 99*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 15008.59.\nAnswer: -15010.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, q: 6}. What is prob of picking 4 z?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*g + 1 = 0, n + 0*n - 4*g = 6. Calculate the remainder when 7 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.112 minus -0.165?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 5:11 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -4.63?\nAnswer: 5.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 722*b + 727*b - 125, 4*a - 74 = 3*b - 6*b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 467576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/26 - (-612)\/(-117). Sort -12, 0.5, -3\/2, x in ascending order.\nAnswer: -12, x, -3\/2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/20*(2 - -2). Suppose 5*n = 4*h + 36, -x*n + 2*h + h + 20 = 0. Solve -3*l - 6 = 0, 2*l + l - 6 = -n*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25151896.\nAnswer: 2, 7, 11, 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnn when three letters picked without replacement from njjnnnjn?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**5 - 235*t**4 + 4*t - 2 wrt t.\nAnswer: -20*t**3 - 2820*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1, -1.1, -2218934, -1\/4, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74 - 6*x**2 + 29 + 46 - x - 2*x**3 to c + a*x + o*x**3 + v*x**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -221\/171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21829393 and 46313.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8818 - -4?\nAnswer: -8814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1996, 2013, 2030, 2047, 2064, 2081?\nAnswer: 2098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*d**3 + 4*d**4 - 38*d**3 - 79*d**3)*(d + d - d).\nAnswer: 4*d**5 - 84*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = q - 25, 2*q + 0*q + 2*x = 10. Solve -10 = 2*r, 8*v = q*v - r - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68854*a**6 + 590*a**2 - 99 wrt a.\nAnswer: 8262480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/335, 2\/19, 5, -4, 147?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -23.493?\nAnswer: 22.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4420843?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011100110 (base 2) to base 15.\nAnswer: a1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1530*o + 101001. Calculate u(-66).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 23*a**2 + 28*a - 52. What is f(22)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**2 + 490*y - 960 = 0.\nAnswer: 2, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -1 (c) -5 (d) -2\/155 (e) 4 (f) -108\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 186 = 7*o + 5*s, 4*o + 4*s = -372. Let m = o - -97. Is m bigger than 14\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i**3\/5 - 9366*i**2\/5 - 7959*i\/5 + 1446\/5 = 0. What is i?\nAnswer: -1, 2\/13, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2318 - -6729. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 + f + 10. Let u be m(0). Suppose -11*d = -d - u. Which is the nearest to -0.4? (a) -2\/9 (b) d (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*x - 65*x = -54 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 28*q + 40. Let m be v(-13). Is 25 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 237923, 236189, 234455, 232721?\n\"Answer: -1734*d + 239657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 d, and 1 j when four letters picked without replacement from {j: 2, q: 2, f: 1, p: 1, v: 1, d: 2}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t - 91 = -5*s, t = 3*s - 48. Let o = 33 + t. Suppose -3*h + o = -3. Calculate the lowest common multiple of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((1581\/425)\/(-31))\/(1\/10))\/(-2)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 347 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**2 - 4389864*s + 4817726484624 = 0.\nAnswer: 2194932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(30\/16 - 2)*-2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 117 - 117. Suppose -461 = -5*p - 2*l - 2*l, 4*l + 469 = 5*p. Suppose 4*i - p - 63 = u. Calculate the remainder when i is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 + 43 = 20*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30.977 - -30.945302. Round m to 3 dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*s = -52*s + 1045. Suppose 3*w - t - 710 = 0, 3*w - 2*t - 506 = s. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29373.4 * -0.1262\nAnswer: -3706.92308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(133) - -1*sqrt(133) - sqrt(133) - sqrt(133))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4755005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 18. Suppose 15*n - 10 = -19*n + 330. Calculate the greatest common divisor of n and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3776826787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*w + 185 = 0, 2*b + 0*b + w - 70 = 0. Let t = b + -23. Let p = 649 - 646. Solve 2*m + 3*s = -0*m - t, -5*s - 16 = p*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3)\/((l*l\/l**(-3\/8))\/l)*l*l**(3\/4)*l*l**1*l assuming l is positive.\nAnswer: l**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5c9b7 (base 16) in base 9?\nAnswer: -637285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 63 = -k, 5*l + 26*k + 105 = 21*k. Let j(w) = -7*w - 29. List the prime factors of j(l).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 27062967?\nAnswer: 1\/27062967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-79 + 4*p + 79)*(8 + 18 + 3) to the form q + t*p and give t.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 12. Let z be m(15). Let p be (-5)\/(-15)*z*-11. Suppose p*f + 80 = 16*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3263 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.09, 3.1, 10, -0.3, -190, -14?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + p, 2*d = -3*p - p. Let q be (4 - d - 5) + 19. Suppose -149 = -t - 5. What is the highest common factor of t and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 137 - -5?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8102 + -8133.076. Let a = z + 31. Let j = 0.12 + a. What is j rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*17.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 344574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 52*o**2 - 97*o - 376. Let q be y(54). Solve 0 = -q*z + 210*z + 40 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1258, -1349, -1500, -1711, -1982, -2313?\n\"Answer: -30*p**2 - p - 1227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1174.\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82654 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-17\/5)*m)\/m*((m**(-3\/19)\/m)\/m)\/m assuming m is positive.\nAnswer: m**(-623\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*g - 1038985, -2*g + 5*o - 4*o + 415594 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**6 + 37*w**5 - w**3 - 534*w**2 wrt w?\nAnswer: -120*w**3 + 2220*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, 47, 0.9, -37 in ascending order.\nAnswer: -37, -5, -0.3, 0.9, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 - -4 - (-1 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 3 - 20)*(1853*n**2 + 6*n + 1858*n**2 - 3764*n**2).\nAnswer: 1749*n**2 - 198*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20998, 42202, 63616, 85240, 107074?\n\"Answer: 105*h**2 + 20889*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 4*a - 28, 749*a = n + 747*a - 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -803716, -803715, -803714, -803713, -803712?\nAnswer: -803711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1055, 2191, 3337, 4493, 5659, 6835?\n\"Answer: 5*h**2 + 1121*h - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from {i: 1, f: 1, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, g: 2, b: 1, e: 3}. Give prob of sequence gbeg.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8*t**2 - 26*t - 8. Let h(v) = 7*v**2 + 25*v + 7. What is 7*h(y) + 6*n(y)?\nAnswer: y**2 + 19*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -104 - (0 + 0)\/(-1). What is the remainder when 9 is divided by (-2)\/10 + r\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 28 = 6*o. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 382 - 212 - 170.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/1772 and 47\/6.\nAnswer: 5316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/14)*a)**(-30) assuming a is positive.\nAnswer: a**(-225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3))\/1 + (-2758)\/(-6). What is the highest common factor of 27 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((585\/(-36))\/(-13))\/((-21)\/12)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 5*r**2 + 3*r - 5. Let c be m(5). Let z = c - 4. Suppose -z = -5*x + 4. Solve -4*o + 6 = -2*w, -3*w + 5 = x*o - 2*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1891 - 276089\/146. Let p = b + 313\/1022. What is the second smallest value in 0.5, 0.06, -1.8, p?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 greater than or equal to -203\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1112 in 5, 157\/16, 12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 697 + -720 + (-34 - -4).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 2)\/(3 + (3 - 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/15)\/((-194)\/(-3492)))\/((-18)\/(-480)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 44*a**2 - 11*a + 11. Let w(j) = 9*j**2 - 2*j + 2. Let y(k) = -2*t(k) + 11*w(k). Let h(p) = -p. Determine h(y(d)).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -254 and -3488.4.\nAnswer: 886053.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200388 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + sqrt(325) + 3 + sqrt(325))**2.\nAnswer: 120*sqrt(13) + 1339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*1\/24)\/(9\/(-81)). Which is the biggest value? (a) -1\/2 (b) 2.3 (c) w (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/9*i**3 + 10\/9*i + 16\/9*i**2 - 28\/9 = 0. Calculate i.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**2 + 8*m + 5. Is x(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 4*f = -6*j + 60, 5825*j - 5*f = 5824*j + 71 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36351 + 3?\nAnswer: 36354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 12 = -3*d - o, -3*d + 6 = -3*o. Let j = -18 + 23. Suppose -j*n - 1 = -6. Is n < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*c - 33*c - 35*c - 67*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.2, 12, 0, 0.1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 2*q + i + 24, q - 3*i = -43. Which is the closest to 1? (a) -2\/7 (b) 4\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1417417, 1417431, 1417445, 1417459, 1417473, 1417487?\n\"Answer: 14*w + 1417403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593581*t**2 - 593578*t**2 + 1187160*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 20 = -7*g + 2*q, 2*q - 10 = -g. Suppose -p = -g + 4. Suppose p*i = 4*u - 0*u - 10, -5*i + 30 = u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25891 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 9 + 0)*(-n**2 - 3*n**2 - 6*n**2 + (-2*n - n + 5*n)*(n - 4*n + 5*n)) to g*n**2 + s*n + j and give g.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2849100 and 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.71 - -78323?\nAnswer: 78321.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -506 and -1.\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*n - 4 + 18*n - 31*n - 70*n**4 + n**3 - n + 6*n**2 to o*n + d*n**4 + g + a*n**2 + y*n**3 and give d.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -0.3, 8088 in descending order.\nAnswer: 8088, -0.3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 35. Is ((-442)\/4)\/(7\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = -4*x - 0*x + 3*p, -5*p + 114 = -2*x. Let z = -58 - x. What is the remainder when (3\/(-6))\/(1\/(-66)) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*h - 11*h - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0. Let v = 26\/17 + -79\/85. What is the second biggest value in 0.4, v, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-62)\/155)\/(56\/(-10))*(-8)\/16?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 47*w**3 - 2439*w - 217*w**3 + 719*w + 0*w**4 - 1120 - 900*w**2 + 0*w**4 - 5*w**4.\nAnswer: -5*(w + 2)**3*(w + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227.049 + -0.6.\nAnswer: 226.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -16. Suppose r + 2*b - 11 - 3 = 0, b = -3*r + 22. What is the least common multiple of g and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5921 and 6876.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-17604.\nAnswer: 70416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23317 is divided by 7433?\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 7. Let a = 0 + r. Solve -5*y + 4*u + 6 = 0, a = -4*y + u - 4*u - 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 29, 1 in descending order.\nAnswer: 29, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 - 64. Calculate the smallest common multiple of q and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 44.6?\nAnswer: 44.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9102 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l + 6. Let z be y(6). Let m be 30 + -20 + -3 + -1. Calculate the greatest common factor of m and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**2 - 2*j**2 + 7*j**2 + (-4 - 2 + 4)*(-61767 + 2160*j**2 + 61767) as k*j + n + z*j**2 and give z.\nAnswer: -4318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000 (base 2) in base 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -179887949.\nAnswer: -179887951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2. Let p(n) = -5*n**2 - 80*n - 11 + 95*n - 4. Let i(o) = o - 1. Let v(s) = 15*i(s) - p(s). Give v(z(g)).\nAnswer: 45*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8385 and 565?\nAnswer: 947505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0453835961 - -0.11155?\nAnswer: 0.1569335961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -752911 + 2184947667\/2902. What is the common denominator of -41\/24 and o?\nAnswer: 34824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 3*b**5\/5 - 3*b**4\/2 - b**3 + 3*b**2 - 2. Factor m(i).\nAnswer: 3*i*(i - 2)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1551.026 + -1550.3340622. Let m = 825 - 824.308. Let p = w - m. What is p rounded to six decimal places?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-3) + -1)*1. Find the common denominator of 99\/16 and r\/(-15)*(-2055)\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/1209869199?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3440496832 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 0.02763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 429 and 68679?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0.5 (b) 32 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8 + 3*q**2 - 9*q**2 + 32*q**3 + 8*q - 3*q**2 - 35*q**3. Give s(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 0.018363967.\nAnswer: 0.518363967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**2 - 75*f + 138 = 0.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlq when three letters picked without replacement from qqlql?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11339 (b) -4 (c) -1\/3 (d) 41\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = n + 1194563, -s + 8*n - 398181 = 5*n. Let q = -179687 - s. Round q to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03603569 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1030832ug to milligrams.\nAnswer: 0.0001030832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5762?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 3:58 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.1 or -2\/184679?\nAnswer: -2\/184679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 5*u = 17820. Suppose -22*g - 14*g + u = 0. What is the remainder when 53 is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234084 plus 0.201?\nAnswer: -234083.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5802883741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 960 and 11340.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 - ((-10205)\/26 + 14). Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*y - 10 = -2*b, 0 = 4*y. Let o be b\/(-2) - 1*-5. Let q(i) = 4*i + 4. List the prime factors of q(o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {x: 2, w: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 3*q - 3. What is the units digit of u(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-125)\/(-24))\/(-5))\/((-410)\/328))\/(14\/12).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from ewe.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 1 - 1 + (-5 + 3 + 1)*(0*q + 4*q - 2*q))*(-2 + 3 - 3)*(4 + 4 - 5).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 340 + 346 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1923, 1, 0.2, 2\/9, 3?\nAnswer: 1923","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-6)*(-92)\/138?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 3) in base 11?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2*t)**43)**(3\/25) assuming t is positive.\nAnswer: t**(387\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7*v**2. Let b = 19 - 17. Let f(x) = 17*x**b - 15*x**2 - 3*x + 3*x. Determine f(w(r)).\nAnswer: 98*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(3 - (-82)\/(-4)). Let a = -41 + z. Is (6636\/(-36))\/(2\/a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 779356*s**4 - 8*s**3 - 30267*s**2 - 16.\nAnswer: 18704544*s - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = p, -5*s = 12*p - 14*p - 18. Sort 55, 5, s in increasing order.\nAnswer: s, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9626552.9633 - -9627133. Let m = -580 + g. What is m rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5280\/(-35200))\/(105\/40)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408*a - 1206*a - 8 + 419*a + 381*a.\nAnswer: 2*a - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4437929\/5705 + 502\/815. Let c = x - -777. Let s = -0.5 - -0.1. What is the smallest value in -2, c, 0.5, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -61837, -61832, -61827, -61822?\n\"Answer: 5*i - 61842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-3)\/((-120)\/25) + 105\/(-140))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 + 17*h + 138 - 265.\nAnswer: 17*h + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - r + 3 = 0, -3*q - 5*r = -6*r + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32819324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s + 10. Let q be c(10). Let g be (1325\/(-50))\/((-1)\/(-2)). Let o = q - g. What is the highest common divisor of o and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 5:53 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 0)\/(2\/6). Suppose -3*j - 15 = -4*u, -4*u - 4*j = -11 + 3. Let l be u\/f + (10 - 1). Calculate the highest common factor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*r - 2884 = 4741 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -29*j**4\/24 + j**3\/6 + 3*j**2. Is 15 a factor of o(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*k**6*t**2 + k**5*t**3 - 38*k**2*t**2 - t**3 wrt k.\nAnswer: -1920*k**3*t**2 + 60*k**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 13*q - 35. Let f be c(0). Let t be ((f\/84)\/((-1)\/8))\/2. Factor -t*v**3 + 5\/3 - 5*v + 5*v**2.\nAnswer: -5*(v - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3057.\nAnswer: 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 5*z - 164*w + 165*w, z = -3*w + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 38478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 + -11293955.\nAnswer: -11293985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*d**2 + 5*d - 7*d**3 - 110*d**2 + d - 4*d - 3*d in the form p + n*d**2 + f*d**3 + w*d and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77916804?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 54586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z**4\/3 - 4444*z**3\/3 - 4360*z**2 + 112*z\/3 + 17440\/3 = 0. Calculate z.\nAnswer: -1090\/7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + 23 - 11) + 16\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -77 (b) 0.1 (c) -97 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 2. Let z be r(4). Let b be (-13)\/6 + z - 0\/(-30). Let c = -1 + 0. What is the nearest to 0.1 in -5, b, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**8\/280 - m**7\/420 + m**3\/6 - m**2. Let z(r) be the first derivative of v(r). Suppose z(w) = 0. What is w?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = -l, -10*l + 9*l - 3 = 5*r. Which is the third smallest value? (a) 652 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 3. Let s be q(5). Let p be 1 + s\/1 + 3. Is p at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 28663.38 minutes?\nAnswer: 1719802800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**3 + o**3 - 2*o**3 - 8*o**2 + 11*o**3 + 8*o**2 + (-10*o + 10*o - 2*o**2)*(2*o - o - 3*o) + o**3 + 0 + 0.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10166)\/(-510) - (-7 + -1)\/120?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*i - 14*i - 28*i)*(-25*i + 424*i + 48*i - 2 + 312*i - 81*i).\nAnswer: -9492*i**2 + 28*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from twobo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*d + 3*d + 37, 0 = -2*p + 4*d + 44. Suppose 4*h + 9 + 5 = -n, 0 = 2*n - 2*h - p. Suppose n*o = 5*o - 18. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -99*z + 6. Let a(l) = -l**2 + 4*l + 40. Let n(o) = 9*o**2 - 33*o - 330. Let h(r) = -33*a(r) - 4*n(r). What is h(v(c))?\nAnswer: -29403*c**2 + 3564*c - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -513682.3 - -513682. Suppose 4*t - 1 = 5*t. Which is the closest to 0.1? (a) 2 (b) g (c) t (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(22)\/(3*sqrt(2)) + 0.\nAnswer: -2 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (291 + 50 - 19)*(-3*h + h + h).\nAnswer: -322*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*c = -3*a + 1023, -4*c + 694 = 2*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13daaa + 3?\nAnswer: 13daad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 4 + 5)*(-1 - 3 + 3)*(4 - 2*m**2 + 0 - 2) in the form h + z*m**2 + c*m and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85.6 - 76.6. Is -24 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 288*s - 1726. Let f be t(6). Solve 0 = 21*q + 23 - f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/383458 and -107\/4210.\nAnswer: 807179090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 10, 17*q - 5*q + 70 = 2*i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 6:51 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + (335 + 7)\/(-9). Which is the second biggest value? (a) 5 (b) -0.5 (c) l (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 367.9174 millennia to decades.\nAnswer: 36791.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 32, -5\/4, -5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from jddjjjhd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 2*a + 1. Let u be m(-1). Suppose -p - u = 4*w, 0 = -2*p - 3*w + 4*w + 14. What is the remainder when p is divided by 0 + (6\/2)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3909 is divided by 145?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkrvr. Give prob of picking 1 v, 1 r, and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 240164*x - 1. Let z(o) = -26*o**2 + 2. Determine v(z(k)).\nAnswer: -6244264*k**2 + 480327","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 at most 503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 12*i + 11. Let f be z(11). Let v be 5 + f + -2 - 8. What is the remainder when 12 is divided by 2*(-4)\/8*v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*x + 8*x + 6*x + 11*x**2 + x to the form u*x + d + g*x**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291590 is divided by 291429?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -75, -174, -323, -528, -795?\nAnswer: -1130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132878, -265727, -398576?\nAnswer: -531425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 13*b - 269. Let i(o) = -3*o + 43. Let s be i(8). What is the units digit of u(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 17*y**2 + 47*y + 85. Give i(-19).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1045 and 2660?\nAnswer: 29260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4988.29 minus -2503.907?\nAnswer: -2484.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (931 + -932)\/((-1291)\/15). Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-204)\/(-85)*(-25)\/15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (294\/(-8)*(-15)\/54)\/(-17*130\/(-1768)).\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 11 = -4*a, 2*a + 0 = -10. Solve 2*y + 15 = 5*j + y, 5 = 5*j - o*y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1799 - 3136 = -687*p - 974 - 526 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 161828592433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9231 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3*6\/(-216)*(-6)\/(-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 1187*g + 3537*g.\nAnswer: 4724*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -6*d - 4*w + 204, 3*d + 2*w - 156 = 0. What is the highest common factor of 135 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77 + -24?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71214*g*t**2 + 4*g + 2*t**2 - 343234*t wrt t?\nAnswer: 142428*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 114\/399 + 48\/(-266). Let n = -37\/90 + 11\/18. What is the third biggest value in -0.3, o, 3, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(75) - -5*-2*sqrt(3)) + ((-1*sqrt(33))\/sqrt(11) - (sqrt(3) - (sqrt(3)*1*3 - sqrt(3)))))**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 18*i - 2. Let d(y) = 9*y - 1. Give -6*a(t) + 13*d(t).\nAnswer: 9*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6 + 54 = 0. Suppose w = -i - i + 10, -5*i + 4*w = -d. What is the units digit of 18\/i*12\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -4*m + m. Let s = 44 + m. What is the smallest common multiple of s and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 3) to base 9\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1786581876012 - 0.\nAnswer: -1786581876012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 20.7. Which is the second smallest value? (a) h (b) -0.5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162450?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (307\/(-4) + 1)*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, 55 in increasing order.\nAnswer: 0, 8, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/74, 3\/13, -5, 2\/5 in decreasing order.\nAnswer: 2\/5, 3\/13, -1\/74, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s**3 + 4*s**2 + 7*s - 9. Let r(q) = -2*q**3 - q. Suppose -3*g - 3*a - 9 = 0, 0 = 2*g - 0*a + 4*a + 2. Let v(j) = g*r(j) - d(j). Determine v(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 7\/10*k**5 - 1\/6*k**4 + 1\/21*k**7 + 1\/3*k**6 + 0 - 4*k**2 - 24*k - 8\/3*k**3. Suppose b(c) = 0. Calculate c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 3*y - 5*y)*((5 + 5 - 6)*(3 - 4 + 0) + 0 + 1 + 0) in the form n + m*y and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20e3b (base 16) to base 11.\nAnswer: -92239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/4 - (-94479)\/(-114884). Is 1 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 5:43 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.9 - 44.1. Let i = 45.51 + s. Round i to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 12*g**2 - 17*g - 14. Let y be (-1610)\/126 - 2\/9. List the prime factors of z(y).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17, -0.1, -1\/11, -3\/5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jji when three letters picked without replacement from {j: 3, i: 1, u: 5}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5862 by -6.\nAnswer: -977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46633 (base 12) to base 14.\nAnswer: -26499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150811159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 37. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 6 = -5*g + 58, 3*i - 5*g = 39. Let o = 5 + i. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 1. Let z(a) = a**3 + a**2 - 2*a - 2. Let d(q) = -6*f(q) + 3*z(q). What is the third derivative of d(k) wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4 + 22*r**3 + 46*r**2 - 22*r - 48 = 0.\nAnswer: -8, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 11*n**2 + 13*n + 2. Determine k(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 6*z + 6, -3*z = 4*o + 6. Suppose 12*s = s - 99. Is o\/(s\/(-3)) + 12 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3959 + 3958.8. What is the nearest to c in 5\/2, 0.02, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 429?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6468, 4905, 3342, 1779, 216?\nAnswer: -1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 19*j. Let u = -9 + 16. Suppose -3*k + u = -3*q + q, -4*q = 2*k - 10. Let s(t) = -1 + 0 + 2*t + q. Determine s(x(n)).\nAnswer: 38*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0243 times 9894?\nAnswer: -240.4242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -386b (base 16) to base 12\nAnswer: -8437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 7:22 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, -0.29, -337, -1, -0.25, -9.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0109344411 rounded to four dps?\nAnswer: -0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1464446 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 - 69. Let q = -1 + -3. Let x = q + j. Sort x, 2\/7, 0.3.\nAnswer: 2\/7, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 16 = 3*w + 5, -4*w - 31 = 5*u. Let s be (-4)\/4*9\/u. Suppose -3*i + 8*i + 2 = -2*g, 5*g + 5 = s*i. Sort 4, i, -2 in decreasing order.\nAnswer: 4, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s - 63. What is a(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2*j = 29, 2*b - 343*j + 344*j = -24 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 6 + -22 - ((-1 - (10 + 7)) + -6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -117\/4, -0.07, 1\/2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r - 67 = 32*r - b, 5*r = -5*b + 75. Let p(n) = 7*n - 11 + 13*n - 10*n - r*n. Determine p(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 + 0.3. Let x = 1.7 + z. Let j = 7 + -12. Which is the biggest value? (a) -1\/2 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**4 + 1 - t**2 + 15*t - 15*t - 2*t**4 to the form x*t + s*t**2 + r*t**4 + v*t**3 + j and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23912 and 764253.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.013752 take away -236?\nAnswer: 412.013752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1281404558 to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 - 76 = 3*f. Factor 10 + 17*h**3 - 3*h - 7*h**f - 76*h**2 - 33*h**4 - 127*h**3 - 9*h**4 - 12*h**4.\nAnswer: -(h + 1)**3*(h + 5)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 452608132, 452608134, 452608136, 452608138?\n\"Answer: 2*f + 452608130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11397 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2. Let z be u(1). Suppose 0*b + 9 = -2*m + 3*b, 3*b = 3. Let v = 4 + m. Calculate the highest common factor of v and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 27*r**2 + 3*r - 10. Let o be a(19). Suppose 0*h - o = -5*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2\/9 - 134*r\/9 + 44\/3 = 0.\nAnswer: 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.17275 - 477223959\nAnswer: -477223960.17275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -992\/5 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {e: 7, w: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 5*t + 322. Let g = -29 - t. Let w = -41 - -58. Calculate the greatest common factor of g and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**3 + 5*x**2\/2 - 2*x + 4. Solve z(q) = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*k = -122*k - 195. Calculate the remainder when k is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6)*660\/(-20) + -6. Calculate the greatest common factor of 13850 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*s = -1868*s + 17147 - 151853 for s.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2678 - -2666.072. What is f rounded to one decimal place?\nAnswer: -11.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*t - 119, 5*j + 2*t + 0*t - 124 = 0. Let v = -26 + j. Solve -6 = -4*o + p, v = 5*o - 3*p - 0*p - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d + 15. Let n(j) = -6*j + 21. Let r(m) = 5*n(m) - 7*z(m). Suppose -h + 2*h = 2. Let u(y) = -21*y + 2 - h + 24*y. Give r(u(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 3228 = 3308. Solve 4*p = 2*p - m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3620, -3508, -3396, -3284?\n\"Answer: 112*x - 3732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5047*a**3*u**3 - a**3 - a**2*u**3 - 6*a*u**3 + 21615 wrt a?\nAnswer: 30282*a*u**3 - 6*a - 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, f: 4, p: 3, b: 7, j: 3}. What is prob of sequence pp?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-442971)\/(-264))\/(1\/(-4)) + 4. Let i = l - -6712. What is the common denominator of -77\/10 and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1872))*3 + (sqrt(1872) + sqrt(1872)*1 + 3)**2.\nAnswer: 180*sqrt(13) + 7494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9008?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00105 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**2 - 3*b + 3. What are the prime factors of s(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11726 and 6640975.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7*a**3 + 84*a**2 - 43*a**2 - 41*a**2.\nAnswer: -7*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 489 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 2 = 5*d + 3*g, -2*d - 5*g + 19 = 0. Let j(n) = 3*n**2 - 3*n + 1. Let m(a) = -a**2 + a. What is d*m(c) + j(c)?\nAnswer: c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 16 = -p, 3*o - 5983 + 6011 = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 33 = -1. Let c(m) = -m**3 - 9*m**2 - 11*m - 12. Is c(h) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d88c (base 15) in base 16?\nAnswer: -178b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -7*s**6\/120 - s**5\/60 - s**3\/3 - 55*s**2. Is 10 a factor of o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*z + 969 + 197. Suppose 5*h + 4*r - z = 0, 2*h - 5*r = -3*h - 5. Sort h, -60, 6 in descending order.\nAnswer: 6, h, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c + 5*c - 18*c - 29*c.\nAnswer: -57*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27530483 and 4595?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 579 - 2315\/4. Sort s, -0.5, 0.8, -4\/3 in decreasing order.\nAnswer: 0.8, s, -0.5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuunuuuuuuuuu. Give prob of sequence nuu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 872401957 to the nearest integer?\nAnswer: 29536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 4*h - 15 + 10*h + 0 + 14*h**2. Let l be 2*2\/4*(1 + 13). List the prime factors of i(l).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 7, s: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84931?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 976 - 939. Calculate the remainder when 134 is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*a*x - 134782*a - 1611131*x wrt a.\nAnswer: -13*x - 134782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22048344*h**2 - 3326*h + 8217 wrt h?\nAnswer: -44096688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1163.9 - 1164. Let z = 12.8 - 15. Let h = -2 - z. Which is the nearest to d? (a) 3 (b) h (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1205 + -964. Which is smaller: 242 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuupuuukvuuuvvuvklk. What is prob of sequence vv?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 3:06 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k + 28. Let y(t) = t + 8. Let p be y(8). Let g be 12\/(-5)*40\/p. Let x be u(g). Solve 0 = -x*b - 4*v - 16, -3*b + 2*v + 2 = 19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -48465, -193863, -436191, -775449, -1211637, -1744755, -2374803?\n\"Answer: -48465*r**2 - 3*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2264543489.99999601 - -2264543286. Let y = 232.5 + -28.5. Let b = a + y. Round b to seven dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.8156l in millilitres?\nAnswer: 18815.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5808 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s = -8*s - 50. Suppose 4*t = 2*t - s*v + 407, 5*v - 1040 = -5*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9289.065m?\nAnswer: 928906.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*z - 86, -2*t = -0*z - 5*z - 150. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 272, -21, -958, -2863, -6060, -10873, -17626, -26643?\nAnswer: -38248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1570, -5539, -12138, -21355, -33178, -47595, -64594?\nAnswer: -84163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:24 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4114146 and -5.\nAnswer: 20570730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prepwiwpedri. Give prob of picking 1 d, 1 r, 1 w, and 1 i.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/1107 and -8\/243?\nAnswer: 9963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l**3 + 3*l**2 - 15. Let o be (7 - (9 - 6)) + 5. Is v(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102212 (base 3) in base 15?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 greater than or equal to 690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 2516065.21.\nAnswer: 2516065.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 7*d**2 + 8*d - 4. Let x = 10 + -15. Let p = 1 - x. What is the units digit of q(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1218747509?\nAnswer: 7, 41, 4246507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -47. Let k = -788 - -789. Which is the closest to -16? (a) k (b) 0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.05? (a) -4 (b) -2\/11 (c) -1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6501, 7898, 9295, 10692, 12089, 13486?\n\"Answer: 1397*r + 5104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 3178?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*t - 69. Solve 1 = s - 5*o, 5*s + 3*o + 0 = -t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4191420357 rounded to two decimal places?\nAnswer: 1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182*90.\nAnswer: 16380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(4\/8)*6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 37 = -5*c, -u = -2*c + 4. Let h = 24 + u. Suppose -2*a + 3 = 3*k - 11, 4*a - 3*k - h = 0. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**4 - h**4 + 4*h**4 + (2*h**2 - 4*h**2 + 3*h**2)*(-h**2 - h**2 + 0*h**2) + 11*h**4 - 3*h**4 + h**4.\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64151 + 120114. Let v = g + -32237. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -712.3 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 6*d**2 + d - 3. Let f be b(6). What is v in -17*v + 21 - 22 + 5*v + 32 - f*v**2 + 5 = 0?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + k + 4. Let t be v(-2). Let a be -1*t*2 - 2. Which is greater: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172002416?\nAnswer: 2, 1201, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvfevmmvmevfevvvv. What is prob of sequence vef?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2523*g*v**2 + 8680*g*v - 53*g - 349*v**2 wrt v.\nAnswer: -5046*g - 698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**9\/105840 - s**8\/6720 + s**7\/1470 + 33*s**4\/4 - 16*s. Let f(g) be the third derivative of o(g). Factor f(a).\nAnswer: a**2*(a - 4)*(a - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 6*k + 6. Let z be (-253 - -1)*2\/(-3). Suppose z = 2*a + k*a. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5921 - 5716. Sort -0.3, t, -0.03 in increasing order.\nAnswer: -0.3, -0.03, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 2 = -t, 59*t + 448 = -2*p + 165 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8 - (4 - 7 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -0.054 (b) 21 (c) 481 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*sqrt(102))\/sqrt(6) - sqrt(17))*-3.\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-90))\/(176\/(-18920))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2654*j - 967 - 1002 + 1330*j + 1325*j.\nAnswer: j - 1969","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2925*k**3 - 12682940*k**2 + 13748762240*k - 658031360.\nAnswer: 5*(k - 2168)**2*(585*k - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -27 in decreasing order.\nAnswer: 3, -9, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.2. Which is the smallest value? (a) 2\/15 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000072620621 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42106 - 42812.22. Let y = x + 712. Round y to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304) - (-4*(sqrt(304) - (0 + sqrt(304))) + sqrt(304))) + sqrt(304)*-2*1)*-5 - (3 + 3 + (sqrt(304)*1*-4 - sqrt(304))))**2.\nAnswer: -720*sqrt(19) + 68436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a - 125 = 0. Solve 5 = -3*z + 2*p, 3*p = -z - p - a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1304 - -1306. Let d(i) be the second derivative of 0*i**a + 3\/2*i**3 + 0*i**4 - 6*i + 21\/20*i**5 + 0. What is the second derivative of d(c) wrt c?\nAnswer: 126*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 8:49 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910 is divided by 337?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(65)\/sqrt(5) + sqrt(1300) + (sqrt(1300) + 3 - sqrt(1300)) + sqrt(1300).\nAnswer: 3 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.98729049 + -146.\nAnswer: -161.98729049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 5*s + 1. Let g(h) be the first derivative of -h**4\/4 - h**3\/3 + 5*h + 27. Let y be g(0). Give j(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16d999d5 + -2?\nAnswer: 16d999d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -659 - 2?\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2267340 by 3286.\nAnswer: -690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3366 + 8273. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-10 - (-5 + 10)) + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5565 + 66827\/12. Calculate the common denominator of s and (-408)\/16*2\/(-60).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 194470.2nm?\nAnswer: 194.4702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -696*q**3 + 64*q**2 - 131*q + 5. What is k(2)?\nAnswer: -5569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 734961 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22938901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 215 + 61272?\nAnswer: 61487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.053 (b) 4 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 (base 9) in base 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 468\/60 - (-13 - -13 - (-16)\/(2 + 0))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8043, 12211, 16379?\nAnswer: 20547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*u + 8. Let k be u\/(-3) - 322\/(-21). Suppose 5*j = 4*j + 2. Solve 2*p = -j*p - k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n = 11*b - 14*n + 81, 12*b - 21 = 15*b - n for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 5) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 120 = -9*o. Let d(p) = p**3 + 2. Let q be d(2). Suppose q = 2*k + 2. What is the least common multiple of k and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 26*o**2 - 176*o + 13. Calculate the remainder when j(10) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555750.\nAnswer: 2, 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 5, 4*l - 4*a + 7 = -1. Calculate the remainder when 34 is divided by (12\/9)\/(l\/(-9)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 2)*(-1 + -2). Let j be (-2 - g - -1) + -3. Let q be (3 + -2)\/(j\/(-15)). Solve z + q = -4*z, z = -2*r - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**7*f*f**(-1\/3)*f*f**(-6)*f\/f**(-1\/3)*f assuming f is positive.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*p - 2*v, 3*p + 5 - 2 = -3*v. Let n be (-3 - (p + 2 + -3)) + 0. Let h = -133\/6 - -22. Which is the nearest to 1\/4? (a) h (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/9))\/g**(-12\/5) assuming g is positive.\nAnswer: g**(158\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852357 is divided by 74?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3776200 and 1132860?\nAnswer: 11328600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 82000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 4*d**3\/3 - 4*d**2 - 32*d - 24. Factor v(q).\nAnswer: 4*(q - 4)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -83*z**4\/12 - 23*z**2 - 168*z. Differentiate o(a) wrt a.\nAnswer: -166*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 10*d**2 + d + 2. Let g be p(-1). Let f(r) = 2*r - 20. Let a be f(g). Are a and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 3*q**2 + 20*q - 17. Let n be u(8). Let o = n - 264. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 9:03 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77929, 77910, 77891?\nAnswer: 77872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -12 (b) -4 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pop when three letters picked without replacement from {p: 13, o: 3}.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2812)\/(-407) + 3 + 64\/(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22580 - -22620. Solve 4*g + 5*c = 26, -g - 30 = 3*c - t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181.1 - 177.1. What is the third smallest value in -45, -0.4, -3\/4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71936420 divided by 718\nAnswer: 100190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-6)\/4*2. Which is the second smallest value? (a) 0 (b) -113 (c) n (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/73?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, w: 12}. What is prob of sequence ww?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1552 and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1283*z**2 - 5*z**4 + 47 + 2*z**4 - 1282*z**2 - z to the form c*z**4 + g*z + k*z**3 + x + m*z**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 40894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 596529242 to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3666 is divided by 3132?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 7 = 3*k + 3*j, -3*j = 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 0 - f + 1\/3*f**3 + 0*f**2. Let u(p) = 3*p + 0*p + 0*p - p. What is j(u(a))?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68145 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 2*u = -15*u - 128 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-29)*(w*w**1\/w)**7*((w**1)**(-45))**(34\/5) assuming w is positive.\nAnswer: w**(-299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57886 and 2678.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - p**2 - 2*p**2)*(-279 + 279 + 13*p + (1 - 5 + 2)*(-2 + 2 + p)) - 3*p**3 + p**3 - 2*p**3.\nAnswer: -26*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/19))**(-1\/7))**(-2) assuming g is positive.\nAnswer: g**(-2\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 + 1008*k**2 - 549*k**2 - 434*k**2 + 1463*k**4 wrt k.\nAnswer: 35112*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11952\/161 + 1714\/23. Determine m so that -x*m**5 - 10\/7*m**3 + 4\/7*m**2 + 0 + 8\/7*m**4 + 0*m = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -755 and 5468836.8831.\nAnswer: 5468081.8831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 30 = -4*m - 0, 0 = -3*q + 3*m - 9. Solve -q*x + n = -4, -n - 3 = -5*x + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2)*(33 + -36).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14399, 27251, 40103?\nAnswer: 52955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 611665 to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 7*s**2 - 34*s + 70. Does 102 divide m(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(539)*-1 + 2 - (sqrt(539) + -1*sqrt(539))*1)**2)*3.\nAnswer: -84*sqrt(11) + 1614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -573268*n**2 + 424057*n wrt n.\nAnswer: -1146536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v - 9. Let l(j) = 4*j - 18. Calculate 6*l(q) - 13*s(q).\nAnswer: -2*q + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1476303 to 4 dps.\nAnswer: -0.1476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5027 divided by 4404?\nAnswer: 5027\/4404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/1547278 and 55\/411.\nAnswer: 4641834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 22 + 21. Let c = 4 - 7. What is the remainder when q is divided by -2 + (13 - -1) - c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31, 140, 385, 814, 1475?\n\"Answer: 8*j**3 + 20*j**2 - 7*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 577.1 - 577. Is g >= 0.005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (-2 - (1 + -2)). Let h = -41.5 - -2.5. Let f = -30 - h. What is the biggest value in f, 1, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r + 6. Let q be l(6). Let d(m) = m - 12. Let s be d(16). Suppose s*t + 0*t = 12. Solve -3*c + 24 = -3*j, 0*j - j = -t*c + q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 243\/3 - (-1502592)\/(-18447).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, h: 2, a: 2, m: 8, z: 1}. Give prob of sequence fzm.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -21. Let v be ((-2)\/o)\/(2\/21). Suppose -v*c + 6*c = -106. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -3*q + 6, 5*q - q + 4*a + a + 41723 - 41674 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:11 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + (0 + (2 + sqrt(3))*6)*-6)**2.\nAnswer: 5904*sqrt(3) + 10612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**5\/11 + 8*b**4\/11 - 6*b**3\/11 - 20*b**2\/11 + 16*b\/11 = 0.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13041877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2725901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 + 3*k**2 - 8*k + 11. Let g(x) = x**3 - x**2 + 3*x - 4. Suppose 7*l = 9*l + 16. Calculate l*g(i) - 3*p(i).\nAnswer: i**3 - i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**5 + 17860*q**4 + 1028912*q**3 - 2129280*q**2 = 0.\nAnswer: -8872, -60, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -248 + 248.26. Let q = -353 + 357.26. Let s = a - q. Sort -1\/6, s, 4.\nAnswer: s, -1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30847379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (5 - 5) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 4*b - 5*m, 2*b - 3758 = 5*m - 3832 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26 + 26)\/(-2 - 1). Let i(g) be the first derivative of 2 + b*g - 1\/2*g**2. Let s(u) = 5*u. Calculate s(i(n)).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 9*g**2 + 6*g - 18. Let i be 4\/((-9)\/((-27)\/(-6))). Let p(r) = -4*r**2 - 3*r + 9. Let k(a) = i*w(a) - 5*p(a). Does 6 divide k(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000532467 rounded to six decimal places?\nAnswer: 0.000532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24403 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 5454262?\nAnswer: -5454261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, g: 6, l: 6, y: 1}. What is prob of picking 1 l, 1 g, 1 y, and 1 j?\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0 (c) -20\/71 (d) 1\/4 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 722 and 22.\nAnswer: 7942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, f: 9}. What is prob of picking 2 f and 1 j?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-15 + 12 + 23)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, 2, -3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 190\/(-6 + 196\/35). Let f = -411 - v. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*l**4*y - 75913*l**3*y - 9*l**3 - 15*l**2*y + l*y + 10*l + 1789*y - 7 wrt l?\nAnswer: -840*l*y - 455478*y - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-82)\/(-5) - 2\/5. Let f = 25 - u. Calculate the highest common divisor of 72 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -534, -620, -706, -792?\n\"Answer: -86*y - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**3\/3 + 5*p**2\/2 - 5*p + 7. Calculate f(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 1. Let b = -22 - -24. Suppose -b = 2*p - 12. Suppose p*s + 2 = 7*s. Give g(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h - 2 - h - 4. Calculate u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) -2\/15 (b) 0 (c) 3.1 (d) -1\/21 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-112)\/(-126))\/((-720)\/(-1620)). Let k = 11 - 8. Suppose 0 = -k*r + 22 - 4. Solve -z*h = r, -5*h + 13 = 4*w - 4*h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82808 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3944, 3937, 3928, 3917, 3904?\n\"Answer: -q**2 - 4*q + 3949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85.1 - -85. Which is the nearest to g? (a) -8 (b) -1\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, 9, 33, 77, 147, 249, 389?\n\"Answer: p**3 + p**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/3 (b) -18 (c) -239\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.26999937 + -1.27. Round t to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*o**2 - 26*o + 286 wrt o?\nAnswer: 6*o - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Suppose -4*f = -v*f - 26. What is the remainder when 38 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 321363 and 18.\nAnswer: 642726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - (-92 + 42) - (-2 - -1 - -47).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -373 from 0.091.\nAnswer: 373.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*b + 63*b + 364. Is -264\/49 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 2*n**2 + 2*n - 6. Suppose -12*y = -9*y. Suppose 0 = 2*z - 3*s - 6, 2*z - 4 = 4*s - y. What is the least common multiple of z and r(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 2179?\nAnswer: 2178.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.064 + -43432.476555.\nAnswer: -43432.412555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593 is divided by -218*(14 + -23)\/18.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from hulrkqu.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 244, 0, -3 in descending order.\nAnswer: 244, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -6*h + h - 7*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -56537430 to the nearest 1000000.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {y: 3, a: 6, u: 5, k: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23.651317 and -0.24142.\nAnswer: 23.409897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*v = w + 60, 4 = w. Suppose 19*u - 8002 = v. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, 2\/21, 0.53, -3, -20 in decreasing order.\nAnswer: 7, 0.53, 2\/21, -2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 + (0 - -3) - -50) + -83 + 81.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*y + 2264, -4*y = 30*n - 36*n + 3396. Calculate the remainder when n is divided by 72.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13378 or 13377?\nAnswer: 13377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4, z + 3*h = -0*z + 2. Suppose -5*y - 135 = -5*g, -z*g - 4*y + 52 = -74. What is the remainder when 1104\/(-24)*(1 + -2) is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -922\/5 - -184. Let h = -1.6 + 1.4. What is the closest to -12 in 2, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 102*u - 98*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2. Let z(n) be the third derivative of n**7\/2520 + n**5\/15 - 4*n**2. Let g(a) be the third derivative of z(a). What is p(g(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49 - 174*l**4 - 196*l**4 + 22 - 292 with respect to l.\nAnswer: -1480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 0*x**2 - 33*x + 161 - 18*x - 3*x**2 + 4*x**2 + 79*x. Let m be p(-20). Let j(s) = 16*s**2 - 4*s + 1 + s + s. Give j(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 15*x - 314 = -141, 0 = -4*b + 3*x - 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -219481, -438964, -658447, -877930, -1097413?\n\"Answer: -219483*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/48 and 10\/(-18)*867\/(-68).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - -5 - (-16 - -8) - 23 - 6.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**2 - 37528152*l - 117363516044592 = 0.\nAnswer: -6254692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -263*x + 264*x - 492*x in the form o*x + j and give o.\nAnswer: -491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1600?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-30) - 25\/6. Let c(f) = 19*f + 72. Let q be c(x). What is the second biggest value in 0, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9057273 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 202112\/5 + -40422. Let s = -11 - -5. Let q = 2 + s. What is the second smallest value in q, -1\/2, 2, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (-3 + -5))*9\/15. Suppose 0 = d*h - 3*o - 3358 - 2651, 0 = 2*h + 2*o - 4026. What are the prime factors of h?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 12*l + 96 = 0. Let p = l + -19. Put -2\/7, -0.06, -0.2, p in descending order.\nAnswer: -0.06, -0.2, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 4*r - 1 = 0, 2971*o - 5*r = 2970*o - 32 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 32*a + 1280. Let i be s(-40). What is the second smallest value in i, -2.6, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 + 89. Suppose 19*y + a = 68. Solve 5*w + 0*w + 2*s - 18 = 0, 22 = y*w + 4*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*z = 46*z - 6, 3*x - 4*z - 47 = 0. Which is the second smallest value? (a) 9 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 2 (b) 7 (c) -0.039 (d) -450 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1057 + 1111 + (-807)\/15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**2 + 18*w - 797. Give z(0).\nAnswer: -797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15460686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7846 + -10?\nAnswer: 7836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 3:20 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -165, -245, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*c + (8 - 36 + 15)*(c + 2*c - c))*(-6 + 5 - 5).\nAnswer: 144*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -14 - (175 - 183)) + -18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 + 101. Let o = -0.9 - 11.1. Let i = 17 + o. Which is the biggest value? (a) u (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + -521\/8. What is the nearest to 1 in 4, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6101*v**3 + 67*v**2 + 27020024 wrt v?\nAnswer: 18303*v**2 + 134*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -q + 3, 0 = -0*q - 4*q - 5*g + 25. Solve -q*u - 1 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 10. Let t(r) = -r**2 - 4*r - 13. Let o be t(0). Let p(f) = -f**2 - 16*f - 9. Let z be p(o). Calculate the highest common divisor of z and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbrrrrrrrrrr. What is prob of sequence rrbr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-139815)\/1035 + 135 + (1428\/23 - 1).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 34. Let f be -1 + 1 + 0 - 4. Which is the nearest to 0.1? (a) f (b) 1\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -2367.\nAnswer: -473.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 655, 648, 629, 592, 531, 440?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 c, and 1 a when three letters picked without replacement from uccccucuccruucac?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63\/4 + -16. Let g = 21 - 44. Let o = g - -23.01. What is the closest to l in o, -2, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23156389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 187985 times 934\nAnswer: 175577990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*y - 2*y, -y + 11 = 3*r. Let n(q) = 3*q - q**2 + 2*q - q + 0*q - r. Give n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-6 + -1 - -6). Suppose f = 23*b - 24*b + 702. List the prime factors of b.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypylyypppplllpyyllp. What is prob of picking 2 p and 2 y?\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -115269114, -115269111, -115269106, -115269099?\n\"Answer: w**2 - 115269115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6*f + 3)*(-2*f - 2 + 2)*(-2 - 2 - 7)*(1 - 4 - 1) to the form t + w*f**2 + y*f and give w.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y + 2*y + 6 - 2*y + 2*y. Let o be r(0). Let c(w) = 2*w - 10. Let l be c(o). Solve -4*i + 5*s - 16 = 0, 6*i + 3*s - 16 = l*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5 = -5*u, 2*u - 3 = 1. Suppose -3*k = -m*k + 390. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16.2 (b) -11.9 (c) -0.292\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -72716 (base 13) to base 14\nAnswer: -54c83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 505 - 491. Which is the biggest value? (a) -1\/9 (b) -4 (c) m (d) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, g: 6, t: 9}. Give prob of picking 1 t, 1 g, and 1 m.\nAnswer: 27\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1915, -1 in increasing order.\nAnswer: -1915, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**3 + 115*y**2 + 763*y - 198 = 0.\nAnswer: -18, -11, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13569 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 g(x) = x. Suppose 4*v + 0*v = -4*v + 4*v. Let c(a) be the third derivative of v + 0*a**3 + 0*a + 11*a**2 - 1\/24*a**4. What is c(g(r))?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -603c (base 15) in base 5?\nAnswer: -1122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (44 - 18) - -35 - -11?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/((-20)\/(-680)). Suppose -d + 11 = -l. Suppose 26 = -v + d. What is the highest common factor of 16 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20, 71, 226, 451, 752, 1135, 1606?\n\"Answer: q**3 + 26*q**2 + 6*q - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -110976.464 to the nearest 1000.\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1768 (base 12) to base 13\nAnswer: -1388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5489 - 541 = -10*i. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (8 - (-5 + 7)) + 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 13 = -2*j, -i + 5*j + 17 + 8 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + b + 479*b**2 - 2*b + 5*b. Let n = -1 + 6. Let l be o(n). Round l to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95.66759 + 0.2\nAnswer: 95.86759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 205440 and 240.\nAnswer: 205440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 764117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viwwkvkkikikwuvwwy. What is prob of sequence wwk?\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -10*j**3 - 44*j**2 + 7*j - 7. Let y(t) = 3*t**3 + 14*t**2 - 2*t + 2. Calculate -4*h(p) - 14*y(p).\nAnswer: -2*p**3 - 20*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -5\/6*c**3 + 1\/2*c**2 + 1\/20*c**5 + 0 - 3*c - 1\/4*c**4. What is n(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 264 + 238 = -9*y, 0 = 2*w + 5*y - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) + 63\/(-18). Let z(t) = -11*t - 14. Let i be z(g). What is the highest common divisor of i and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-4) - (-19)\/(-12). Suppose -7*z = -3*z + 2*m + 10, 3 = -2*z + m. Let f = o - z. Is 1 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -15583*m - 1. Let k(x) = 15410*x + 2. Calculate 2*k(a) + 3*n(a).\nAnswer: -15929*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(-2\/7))\/i)\/i)\/i)**8*i**(-1\/8)*i**5*i*i\/(i**(-3\/2)\/i)*(i**(-3)\/i)\/i*i*i**3*i*i**7 assuming i is positive.\nAnswer: i**(-107\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 9 - 16) + (-1 - 15)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d + 0*d + d - 2*d + 3. Determine p(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2889 + -21.7011. Round f to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 0*b - 4*b)*(1 + 11 - 5 - 7*b).\nAnswer: 49*b**2 - 49*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 5 + (0 + 1 + 0)*(-3 + 5 - 3))*(h - h - h) + (-3 + 0 + 2)*(-2*h + 2*h + h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2484 and 13.8.\nAnswer: 34279.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 4664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**2 - 10*a + 21. Let p(k) = 7*k**2 - 22*k + 25. What is -5*p(g) + 6*s(g)?\nAnswer: g**2 + 50*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.13775 plus -2?\nAnswer: -0.86225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 6. Let h(f) be the third derivative of -f**4\/24 + f**3\/6 - 475*f**2. Calculate 6*h(a) + q(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2843*d. Let j(r) = 22*r. Give j(a(m)).\nAnswer: -62546*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**3 + x**3 - 3*x**3 + (0*x + 0*x - x)*(-2*x**2 - 2*x**2 + 5*x**2) - 6*x**3 - 199*x**3 + 10*x**3 to h*x**3 + v*x + t*x**2 + a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**4\/24 - 11*v**3\/6 - 2*v**2. Let u be t(10). Let l be (-1)\/(-15) + 2\/6. Is u less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 40 = -2*n. Suppose -3*b + n = -b. What is the greatest common factor of b and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 298 + -263. What is the smallest common multiple of u and 50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 10*k**2 + 11. Is 4 a factor of p(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 10, 35, 82, 157, 266?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - 9) - (-3 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 14 - ((43 - -1 - -19) + -6 + -6)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4 - 372*v**3 - 2784*v**2 = 0. What is v?\nAnswer: -116, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-5))\/(b\/(b**(-4)*b)))\/(b\/b**(-1\/13)*b\/(((b\/b**(1\/2))\/b)\/b))*(b**(-4\/5)\/(b\/(b\/(b*b**(-4\/3)))*b))\/(b**0*b*b**4) assuming b is positive.\nAnswer: b**(-3137\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 2\/16101, -0.16, -4?\nAnswer: 2\/16101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6290 + 6135. Which is greater: -134 or h?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 - 41*q + 213. Let y(s) = -5*s**2 + 92*s - 427. Let x(b) = -7*c(b) - 3*y(b). Suppose x(m) = 0. Calculate m.\nAnswer: -21, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488 divided by 1?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*k - 2*s + 11, 69 = 5*k - 2*s. What is the remainder when 49 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((6*(sqrt(162) + 3))**2 + ((sqrt(162) - sqrt(162)*1) + 5)**2)*5.\nAnswer: -30905 - 9720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -25*b + 45 + 63 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15.3? (a) -3\/8 (b) 0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5150b4 (base 13) in base 9?\nAnswer: -3510032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 13 - 3 - (0 - (-13 - -1)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 34.1. Let n be 66\/(-36) + (-2)\/(24\/2). What is the biggest value in n, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from ijjjqjjjij.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**13*m*m)*(m\/m**(1\/8))\/m*m*(m\/(m*m**(4\/7)\/m)*m)**(-20) assuming m is positive.\nAnswer: m**(-2335\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/v**(17\/5))\/v)\/v**(-2))\/((v\/(v*v**(-1\/5)))\/v*(v\/(v\/(v**(-30)\/v)))\/v) assuming v is positive.\nAnswer: v**(162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 165074 plus -98.94?\nAnswer: 164975.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 6*h - 4. Let n(s) = s**2 + 6*s - 14. Let o be (-26)\/4 - (-13)\/(-26). Let v be n(o). Calculate p(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 1720108.\nAnswer: 41282592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 + 4*y - 13. Is m(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 6*r. Suppose -21*o - 20 = -16*o. Let l be j(o). Is ((0 - -173) + l\/(-12))*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*12\/(-45)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*g + 946518 + 638793 + 1566129 = 0. List the prime factors of g.\nAnswer: 3, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-189)\/42*(-3263 + 1)?\nAnswer: 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -124, -266, -424, -598, -788, -994?\n\"Answer: -8*l**2 - 118*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/21 - (6 - (-180)\/(-28)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-24) - 47\/(-188)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 59, 148, 283, 470, 715, 1024?\n\"Answer: d**3 + 14*d**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 4*q**2 + 8. Let l(a) = -4*a**3 - 11*a**2 - 25. Let x(t) = -2*l(t) - 7*n(t). Let y = 49 - -39. Let v = y + -82. What is x(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, 93, 443, 1133, 2277, 3989, 6383?\nAnswer: 9573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 72*b**2 - 216*b - 224. List the prime factors of x(65).\nAnswer: 61, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+-1.9724762120878\nAnswer: 0.0275237879122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(0 - (-3)\/105). Suppose -2*b + s = 4*d - 131, -5*d + 175 = -4*b. Suppose 4*u - d = 5. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 2:43 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 6:55 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2\/19, -4\/3, -0.34, 7.9, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*h - 1860 + 1167 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 1. Let n be x(2). Let l = 2.2 - 1.2. Let c = -811 - -810.7. What is the nearest to l in n, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1036534, -1036547, -1036560, -1036573?\n\"Answer: -13*b - 1036521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.1, -116, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5306898 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -644 less than or equal to -3213\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32530 divided by 3.\nAnswer: 32530\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2829688*u + 21599872 wrt u.\nAnswer: -2829688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47b39 (base 13) in base 15?\nAnswer: 28e8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**6\/120 - v**5\/10 - v**4\/4 - 49*v**3\/3 - 2661*v**2. Calculate i(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25\/96 - 3\/32. Suppose 3*j = l - 168, -796 = -4*l - l + 4*j. Let p be 28\/l + 2\/(-6). Sort -3, v, 1, p in ascending order.\nAnswer: -3, p, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 3*n**3 - 3*n**3)*(69372 - 33477 - 27507).\nAnswer: -16776*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/2)\/((a\/(a**(1\/5)\/a))\/a)*(a\/(a*a*a**(-1\/4)))\/(a**(-2)\/a) assuming a is positive.\nAnswer: a**(-1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -0.0585.\nAnswer: -0.4095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19296)\/(-5360)*20\/(-56).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159793798 is divided by 1425.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 2 (c) -0.084 (d) -1\/6 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -47a493?\nAnswer: 47a499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 9:43 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6260 is divided by 704?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*(sqrt(187)*2 - sqrt(187)))\/sqrt(11) + (-1*sqrt(187)*2)\/(-1*sqrt(275)).\nAnswer: -4 + 12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/7)\/q)\/(q**16\/q)*q**(-2)\/(q*q\/(((q*(q*(q\/((q*(q*q**(6\/11))\/q)\/q*q))\/q)\/q)\/q)\/q)) assuming q is positive.\nAnswer: q**(-1670\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**7\/70 - x**6\/40 + x**2\/2 - 4. Let f(i) be the second derivative of q(i). Suppose f(u) = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c**3 - 3*c**2 - 2*c + 4. Let w(p) = 6*p**3 - 4*p**2 - p + 5. Let i(q) = q**3 - 12*q**2 - 4*q + 44. Let o be i(12). Determine o*w(j) + 5*h(j).\nAnswer: j**3 + j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170932998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 76, 119, 162?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 10) + 10 + 47\/15. What is the third biggest value in 2\/9, -42, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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 a be 3*3\/(-1 + 4). Suppose -4*t + 2 = -w + 3, a*t = -3*w + 3. Solve -8*r = -t - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 4763*r**4\/2 + 4741*r + 6475. What is the derivative of t(c) wrt c?\nAnswer: 28578*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/5, 20, -4.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 9:21 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 620 - 404. Solve -297 - 135 - 41*n**2 - u*n - 2*n**3 + 5*n**2 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5751282, 10, 1 in decreasing order.\nAnswer: 10, 1, -5751282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152997.\nAnswer: 3, 13, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - o. Let h(y) = -5*y**3 + y**2. Suppose 62 = -22*a + 18. What is a*m(z) + h(z)?\nAnswer: -3*z**3 + z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.147 + 18.46161196.\nAnswer: 15.31461196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32410387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-9) - (-95)\/225. Let u = -374302\/2233 + 62\/319. Let y = 168 + u. Which is the biggest value? (a) y (b) -0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 - -1 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -82 in -5.1, -0.1, 2?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*c + 3, 2*l - 3*c - 17 = l. Let s(z) = 5*z**3 + 14*z**2 + 8*z + 8. Let o(r) = -5 - 3*r**3 + 0 + r**2 - 10*r**2 - 5*r. What is l*s(y) + 8*o(y)?\nAnswer: y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70292 and 424.\nAnswer: 7450952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2078624?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2765)\/(-140) - 20)*(-1)\/12?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 14675700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 + 85. What is the third derivative of -52*m**3 + 9*m**2 + 0*m - 29*m**3 + m - 21*m**y wrt m?\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 less than 4677\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 81. Let f be (-1)\/(-5) - 45\/j. Suppose 2*u - 3*o = -8*o - 18, -f*u + 6 = -o. What is the biggest value in 4, u, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -16*b + 1091536. Suppose -4*y = -6747 - b. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 10*w**2 + 226*w + 2043. Let n be u(-9). What is the greatest common factor of 2205 and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3264, 6648, 10034, 13422, 16812, 20204, 23598?\nAnswer: 26994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 5 (c) 1 (d) -8 (e) 0 (f) 3\/20 (g) 17\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + 6014*x**2 + 5*x.\nAnswer: 6014*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*r + c, -c - c = -3*r + 16. Let u(w) = w**2 + 8*w + 3. Let g be u(-8). Let -2 - 5\/2*l**2 + r*l + 1\/2*l**g = 0. What is l?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 0*q + 0*q**4 - 31\/30*q**5 - 10 + 4*q**2 + 0*q**3 + 79\/120*q**6. Find the third derivative of m(z) wrt z.\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*b**2 - 173*b**3 - 21*b**2 - 24*b**2 + 170*b**3 + 74*b**2.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and 0.5515.\nAnswer: 0.6618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1153111 and 12426?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 4*u**2 + 48*u - 193. Let p be m(4). Let r(d) = -27*d**2 - 3. Let v(f) = f**2 + 1. Give p*r(l) - 3*v(l).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5684 = 96640\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28285 is divided by 145.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*v**2 - 101*v**2 - 148*v**2)*(-4*v + 2*v + 4*v)*(5*v - 3*v - v).\nAnswer: -372*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*i = -26, 2*i = -5*p - 2*i + 47. Suppose 4*b - 9 = p. Put b, -4\/5, -5 in descending order.\nAnswer: b, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7c18c + 2?\nAnswer: 7c191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98135 is divided by 9747.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -5. Let t be -18*(-1)\/((-9)\/p). Suppose 0*k - t = -4*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4385 + 8681. What are the prime factors of m?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 140077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 4*d**2 + 9*d + 3. Suppose -2*v + a = 15, 0 = 4*v + 3*a + 26 + 9. Let h = 2 + v. What is the tens digit of t(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119200 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 3*h + 1. Let u(s) be the third derivative of s**5\/60 + s**4\/24 - s**3\/6 - 23*s**2. Determine -i(q) - u(q).\nAnswer: 3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.68 - -3.78. Let k = h - -0.9. Is k smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1854619115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3227, 3406, 3591, 3782, 3979, 4182?\n\"Answer: 3*f**2 + 170*f + 3054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -500926*z**6 - 5*z**4 - 3110061*z**2.\nAnswer: -60111120*z**3 - 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**8)**(30\/13)\/((s*(s\/(s\/(s**(1\/15)\/s)))\/s)\/s)**(-50) assuming s is positive.\nAnswer: s**(-2870\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*b**4 - 1\/6*b - 1\/6*b**5 + 1\/3*b**3 + 0*b**2 = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 139\nAnswer: -12\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0364031 to 3 dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = -3*p + 181. Solve -p*j + 6 = 22 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 + 12*g**2 - 4*g**2 + 2*g**2 + g**2 + (3*g - g - 4*g)*(-3 + 5*g + 3) to the form m + u*g + a*g**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -133. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)*v*v**(2\/17))**(-15\/2)\/(((v\/(v*((v*v*v*v**(2\/5)\/v*v*v*v*v)\/v)\/v))\/v)**(1\/24)\/((v**6\/v)\/(v*v**(-5)))) assuming v is positive.\nAnswer: v**(231\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**5\/60 - 5*w**4\/12 - 3*w**3\/2 + 13*w**2. Let m be (-1)\/(2\/12)*1. What are the prime factors of d(m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 49*h + 255 = 15*d - 12*d - 4*d, 2*d - 4*h + 30 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 31*b + 31. Let s be x(1). Suppose 0 = -s*k + z + 210, 4*k - 210 = 2*k + 4*z. What is the highest common factor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13534190673 to six decimal places.\nAnswer: 0.135342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooizzoohhjopjjo. Give prob of sequence ijoo.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*i = 6, 171*i - 10 = 5*q + 166*i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 5. Let n(y) = -y + 7. Let w(s) = -38. Let g(j) = 5*n(j) + w(j). Calculate g(k(o)).\nAnswer: -10*o + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -164, 55620, -2?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.643259 to 3 dps.\nAnswer: -0.643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3) + 52\/39. Suppose -5*r + 4 = -3*u, -u + 0 = -2*r + o. Find the third derivative of 14*j**2 + j**5 - 2*j**5 + j**5 + u*j**5 wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 61. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8774540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 105*o - 86 = 103*o, 4*o = 2*s - 48 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + r - 17 + 7 + 12*r**2.\nAnswer: 12*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 281062787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 41\/78 (b) -1 (c) 4 (d) 6 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:08 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 6*t - 7. Let g be j(5). Let x be -1 - (-82)\/3 - g. Let r = x + -28. Which is the second biggest value? (a) 5 (b) r (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1686 divide 24265775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (7 - (-13 - -6 - -9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 3 + 162\/(-10). Let g = -512\/35 - o. Suppose 2*w - 7*w + 3*b = 9, 0 = 4*w + b - 3. Which is bigger: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 1930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5\/2, 20, 7, -10 in decreasing order.\nAnswer: 20, 7, 5\/2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29\/34 - 6\/17. What is the closest to x in 8, -4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14554780?\nAnswer: 2, 5, 211, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/14061451?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4664 divided by 1166?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -322*p - 312. Calculate u(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 1629434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/13 + 40*w**2\/13 - 86*w\/13 + 44\/13 = 0. What is w?\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 785*j + 4890.\nAnswer: -5*(j - 163)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 550067060*u + 205396394 wrt u.\nAnswer: 550067060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**6\/40 + y**5\/30 + y**3\/3 - 6*y**2 - 4. Let a(l) = -10*l**3 + 7*l**2 + 7. Give 4*a(z) - 14*v(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2806271315.\nAnswer: 5, 561254263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 6:29 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*h - 17, 5*h - 2*h = -y + 11. Suppose a + h*a = 9. Suppose 3*k - 43 + 134 = o, 2*o - 173 = a*k. What are the prime factors of o?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (7 - -7 - -1)) + 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41842350 to the nearest integer?\nAnswer: 6469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114137 is divided by 153.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -8314*c + 415708. Calculate k(50).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2 + 10*g*n**3 - n**3 - 732*n with respect to g.\nAnswer: 2*g + 10*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 72961.1 and 0.34.\nAnswer: 72961.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -2*b**3\/3 - 21*b + 4. Let r be (-3 + 0)\/((-6)\/4). Let u(l) = l**r - 7*l + 7*l. Give c(u(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4231 (base 9) to base 6.\nAnswer: 22214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42607*y - 297*y**3 - 42607*y + (-3*y**3 - 3*y**3 + 4*y**3)*(-1 - 1 + 3) + 0 + 0 + y**3 to x*y**3 + m + s*y**2 + l*y and give x.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81 - -137. Let r = -299 + 307. Calculate the greatest common divisor of r and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(135)\/sqrt(3) - sqrt(45))*-4 + 2*sqrt(2880)))\/((sqrt(81)*-2*-3 - sqrt(81))\/(sqrt(36)\/sqrt(36))).\nAnswer: 32*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 100 and 9.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, h: 2, q: 8, b: 2, o: 1}. What is prob of picking 1 q and 1 t?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7113\/4 or -1778?\nAnswer: -7113\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8158259?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2\/5, 10\/13, 965819?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2118, -2110, -2102?\n\"Answer: 8*j - 2126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + b - 9 = 43 - 57, 0 = 10*m - 5*b + 50 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, g: 1, x: 3, p: 2, e: 4}. What is prob of sequence xptp?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**6\/120 - t**5\/60 + t**4\/12 + t**3\/2 - 46*t**2. Let f(s) = -s**3 + s + 4. Let c(d) = 3*f(d) - 4*m(d). Factor c(q).\nAnswer: q*(q - 1)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from kgeetytkkmeee.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -123*f**2 - 6*f + 21. Let c(r) = 17*r**2 + r - 3. Determine 15*c(v) + 2*w(v).\nAnswer: 9*v**2 + 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b**(-8\/7)*b*b**(-1\/27) assuming b is positive.\nAnswer: b**(344\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 126 - -6786?\nAnswer: 6901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1512 = 1168*f - 952*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38c (base 15) in base 5?\nAnswer: -11212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.842 + -7.82. Round j to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 12*l**2 - 191*l - 617. Determine j(-5).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 11:18 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 13 = -39. Calculate the remainder when 64 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 - 2*a**2 + 2*a**4 + a**4 - 2*a**4 + 0*a**4 + (-1 + 2*a + 1)*(a**3 - a**3 + 2*a**3) - 3*a**4 + a**4 + a**4 + 0*a**4 + 4*a**4 - a**4.\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -252, -390, -546, -726?\nAnswer: -936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + c**2 - 15*c + 1. Let i(a) = -168*a**3 - 649*a**2 - 572*a - 1. Let r(x) = -i(x) + 5*w(x). Let r(f) = 0. What is f?\nAnswer: -3, -1, -2\/163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 5516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223401 + 22341?\nAnswer: 301242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/6 and 19\/13422485?\nAnswer: 80534910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.62575187 rounded to 1 dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2\/3*j**2 - 26*j - 76\/3 = 0?\nAnswer: -38, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**5\/5 + 1356*v**4\/5 + 272*v**3.\nAnswer: -4*v**3*(v - 340)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2004 + -452. Put w, 2\/5, 5 in increasing order.\nAnswer: 2\/5, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 1 + 6. Let n be (-56)\/(-21) + i\/(-3). Is n + -5 - (-16 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g**3 - 2*g - 1. Let n be l(-1). Let f be n - (4*-1 - -2). Sort -5, 2, f.\nAnswer: -5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 11:10 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -146 or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/9)\/(((-4)\/66)\/((-1)\/3))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72636 + -49715. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2313109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 2501*c - 2444*c - 1.\nAnswer: 57*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, o: 3, c: 3}. What is prob of sequence ec?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 125172*x**3 + 125202*x**3 + 125205*x**3 + 4*x - 375575*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + sqrt(1100))**2.\nAnswer: -20*sqrt(11) + 1099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 53*a + 238. What is the remainder when 1188 is divided by g(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d - 46. Determine p(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 2, -0.3, -9853.\nAnswer: -9853, -5, -0.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*k = 58, 3*o = -0*o - 4*k + 222. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 295 + -345. What is the remainder when 9\/15*67 - (-10)\/z is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(5)*-3*3 - (sqrt(5)*1 + sqrt(5) + -1)))**2.\nAnswer: -198*sqrt(5) + 5454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11310 + -5245. What are the prime factors of f?\nAnswer: 5, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 - 58. Suppose 2*a = -5*h + 6 + t, a - 3*h - 15 = 0. What is the remainder when a is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/62051 and -49\/485126.\nAnswer: 5336386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 6*g**2 + 3*g - 19. Let f(r) = 1. Let z(q) = b(q) + 6*f(q). Let p be z(6). Suppose -y + p*c = -0*y - 1261, -3*y + 3783 = 2*c. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/5)\/((-77671)\/(-494270)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.92754 millilitres to litres.\nAnswer: 0.02292754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -19. Let c(x) = -1 + 4*x - j*x - x. Is c(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.87 - -1.87000279. Round t to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 1130 (c) 138\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o + 22. Let t be i(-10). Is -134*(3 + -4)*1\/t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.41 and 16.\nAnswer: 118.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47908.\nAnswer: 2, 7, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*-3*(-6)\/(-36)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**4 + 3*g**4 - g**4)*(5 - 4 + 0) + (-g**2 + 0*g**2 + 0*g**2)*(-4*g + 2*g**2 + 4*g) + 0*g**4 - 3*g**4 + 4*g**4.\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5 - 4)*(-2*s**3 - 2*s**4 + 2*s**3 + (s**3 + 3 - 3)*(-2*s + s + 0*s)) to the form g + d*s**2 + p*s**3 + q*s**4 + h*s and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2405 = -413*r + 2142 + 409 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - t**2 - 1. Let w(q) = 5*q**3 - 28*q**2 - q + 4. Give -4*i(l) - w(l).\nAnswer: -l**3 + 32*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 2*p**2 - 10*p**3 + 2*p**4 + 3*p**3.\nAnswer: 2*p**2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22522 (base 6) in base 10?\nAnswer: -3218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence diut when four letters picked without replacement from xxdmxtttimttitu.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7724692919 to the nearest integer?\nAnswer: 1977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 20227726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by -72?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43371\/51303518 + 26\/18683. Calculate the common denominator of -91\/18 and c.\nAnswer: 172998","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(18)*-1*-4 + sqrt(18) + sqrt(450) + sqrt(450)*3)\/(sqrt(108)\/(sqrt(147) - (sqrt(147) - -1*sqrt(147)))).\nAnswer: -175*sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 7:27 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16882306*u**3 - 99490799*u**2 wrt u?\nAnswer: -101293836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*u + 3*p - 975, -u = -5*p + 173. Let n = 527 + u. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 39.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 3*t**2 - 5*t - 3. Let i(w) = 6*w**3 + 16*w**2 + 26*w + 16. Let b(y) = 3*i(y) + 16*u(y). Suppose b(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10242)\/13 - (-42)\/(-273). What is the remainder when p*4\/(-64)*4 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 605 and 47432.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -7*m**5\/30 + m**4\/12 - 14*m**2. Let z(o) = 355*o - 700*o + 348*o. Give z(y(v)).\nAnswer: -42*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 2*y = -18, -6*u - 24 = -3*u - 5*y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 - 2*u**2 + 176 + 76 as c + q*u + l*u**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*g**4 - 195*g**2 - g + 2724 wrt g.\nAnswer: -24*g**3 - 390*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*r**5 + 4*r**4 + 348*r**3 + 48*r**2 - 782*r - 516 = 0. Calculate r.\nAnswer: -43\/15, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = 32*o + 24*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 16*q + 23. Let z be a(15). Suppose -9*k + 476 = z. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*h**3 + 84*h**2 - 33*h - 6 = 0. What is h?\nAnswer: -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10707, -9756, -7145, -2034, 6417, 19048?\n\"Answer: 140*q**3 - 10*q**2 + q - 10838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i + 4. Let j(v) be the first derivative of 7*v**5\/120 + 5*v**4\/24 + 7*v**3\/3 - 15. Let f(p) be the third derivative of j(p). Give -5*f(t) + 6*h(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6*6\/(-36)*(-1)\/4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 52\/5 of a kilometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 480652, 480653, 480654?\nAnswer: 480655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2661 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -197*q + 1377. Let y be f(7). Let k(p) = 2*p - p + 2*p**2 + 3 - 1. Let g(s) = 2*s**2 + s + 2. Calculate y*k(b) + 3*g(b).\nAnswer: 2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141996 divided by 47332.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 105c9c1 (base 14) in base 7?\nAnswer: 122633431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24787431 at least 24787446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnd when three letters picked without replacement from ninnnnnitnndiiintii?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 48\/(-28) - (-4)\/(-14). Let n be (h*1)\/(-5 - (-99)\/21). Let d(i) = -i**2 + 5*i + 14. Let w be d(n). Solve -3*b = -k + 10, -2*b = 5*k - w*b + 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*a**2 - 230*a + 70*a - 1266 + 139*a wrt a?\nAnswer: 24*a - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 1. Let r(p) = -6*p + 6. Let n(x) = r(x) - 4*s(x). Let j = -7 - -14. Suppose 11 = -3*l - j. Let w(c) = c - 1. Calculate l*n(o) - 10*w(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 350105438 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03331 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -30 + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5473?\nAnswer: 13, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -7*i + 25, 30672*i - c = 30671*i + 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 78.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -19. What is the nearest to 0.2 in -2, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) -450 (c) -5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1559*t - 1558*t - 17 = -5*b, 6 = 3*b for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 284 - 283 = 0. What is the closest to k in 38, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -24. Let z = h - 9. Suppose -4 - 11 = 5*p. Which is the third biggest value? (a) 0 (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 16 = 8. Suppose -2*k - 4*h + 922 = 0, 5*k = -6*h + c*h + 2273. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20639 - 20644. Sort 0, 2, 3, o, 16 in descending order.\nAnswer: 16, 3, 2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**3 + 9*o**2 + 3*o - 210. What is q(8)?\nAnswer: 2950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*s = -2, 4*g - 2*g - 3*s = 11. Suppose b - 10 = g*v + v, 8 = -4*v. Suppose 6*f - 34 + 4 = b. What is the least common multiple of 9 and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ec - 16?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g**3*l + g**2*l + 6*g**2*r - 94*l*r wrt g?\nAnswer: -9*g**2*l + 2*g*l + 12*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**3 + i**2 - 13*i. Let r be p(1). Let m(b) = -3*b - 3*b + 0*b + 11 + 5*b. What is m(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -15, 6*r + 0*r = -5*a + 7*r + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen sevenths of a week in hours?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {y: 2, d: 17}.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r + 98. Let v = 200 - 216. Calculate the remainder when z(v) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsi when three letters picked without replacement from ssdsdssssiid?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 73*a.\nAnswer: -a*(a + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 53*s**2 - 4*s - 2. Let j(h) = -18*h - 55. Let u be j(-3). What is the remainder when d(u) is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30\/17 in 1, 3, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -59.00513. Round t to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-13\/3)\/x**(-6))\/(x**(-16)*x)**9 assuming x is positive.\nAnswer: x**(410\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -174 + 226. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 292 = -4*x + 3*z, 4*x - 2*z = 272. Let m = -66 + x. Solve 0 = n + m*n + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42109991743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 32402 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0.02957?\nAnswer: -3.97043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324 (base 5) in base 14?\nAnswer: 1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 831, 1531, 2289, 3135, 4099, 5211, 6501, 7999?\n\"Answer: 5*n**3 - n**2 + 668*n + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 187 + 55\/3*g**3 + 5*g**4 - 15*g**2 - 45*g. Solve x(m) = 0 for m.\nAnswer: -3, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 4. Let n be c(-5). Which is smaller: 1\/27 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f - 17*f - 16*f + 8*f.\nAnswer: -42*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 91*m + 1791. Determine p(-22).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.47675 to 2 dps.\nAnswer: 6.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 20. Let m be p(-22). What is the biggest value in 0.4, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -266, -399?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2387 is divided by 474?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71*o**2*y + 12*o*y + 1472*y - 2 with respect to o.\nAnswer: -142*o*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 - 35872*s\/3 - 119540.\nAnswer: -(s + 10)*(s + 35862)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 2 - 14 + (3 - 1 + 2)*(1 - 4 + 2))*(-4*u - u + 2*u)*(-16*u**3 - u - 2*u**2 + 21*u**3 + 0*u**2) as l*u**3 + k*u**2 + p*u**4 + h*u + j and give l.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c - 104. Let s(j) = -4*j - 53. What is -5*s(x) + 3*w(x)?\nAnswer: -x - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0 (b) 2\/9 (c) -14 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -291*n + 101*n + 13 + 187*n + 6*n**2 - n**3. What is j(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0 - 2*y**2)*(-2 + 16 + 16).\nAnswer: -60*y**2 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1411076*o - o**2 + 1411076*o + 2*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*l**4)*(-1 + 22*l - 6*l + 17*l).\nAnswer: -66*l**5 + 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-161)\/(-35) + (-3)\/5. Suppose w - 10 = -x*w. Suppose w*y - 3270519 = -970519. Round y to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-10) + (-8)\/5. What is the units digit of (-1*1)\/(m\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(108)\/sqrt(9)) + sqrt(17) + sqrt(425) + -2.\nAnswer: -2 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213406 is divided by 912?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t - 25 = 1. Let z(p) = -2*p**4 - 68*p**3 + 60. Let a(h) = -h**3 - h**2 - 2. Let l(u) = t*z(u) + 2*a(u). Find the third derivative of l(g) wrt g.\nAnswer: 48*g + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593 a factor of 2450869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 125*q + 302. Sort 3, q, 7.\nAnswer: q, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14065033 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m + 11. Let g(q) = 1. Let s(y) = -4*g(y) + x(y). Let w be s(-6). Let v = w - 23. Calculate the smallest common multiple of v and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -1.1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24930 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/3933 and -37\/84.\nAnswer: 110124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 68357 = 191777. What is the highest common divisor of x and 255?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 80\/(-32)*((-4)\/(-14) - 72\/105). Sort h, -23, 0.4, -4\/9, -13 in descending order.\nAnswer: h, 0.4, -4\/9, -13, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 17*k - 27. Let f(h) = 4*h**2 + 84*h - 134. Let o(a) = 3*f(a) - 14*r(a). Factor o(d).\nAnswer: -2*(d - 4)*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 0 - 4, 0 = 3*w + 5*j - 4057. List the prime factors of w.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 9) to base 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.085 - 0.485. Let m = -0.2 + 0. Let d = -4.5 + 4. Which is the third biggest value? (a) m (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -15b?\nAnswer: -15d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 758248 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26855 and 8615.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 236584 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g. Let l(v) = 188*v + 0 + 0 - 196*v. Give l(n(c)).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(363)*4 + sqrt(363) + sqrt(3)).\nAnswer: sqrt(7)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(2\/(-20) + 0). Let k be (3\/2)\/(12\/z). Suppose 4*d = k*d. Solve 4*h + h - 10 = d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 301600646 to the power of 1\/2, to the nearest integer?\nAnswer: 17367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.882, -72, 0.13, -2\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = b + 5*w, -12*b - 3*w = -11*b - 134. Which is smaller: b or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: f6e (base 16) to base 14\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 12362*f + 1310009. Give x(-106).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14, -50, -130, -278, -518, -874, -1370?\n\"Answer: -4*b**3 + 2*b**2 - 14*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 46 = 3*d, 4*d - 5*d = -5*x - 21. Let c be (-2)\/8 - 66\/(-8). What is the second derivative of -d*v - 3 + 11 - c + 5*v**2 wrt v?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14334.0000031084 + 14334. What is v rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1538 and 6.\nAnswer: 4614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 3 + (-2 - (-7 - -13)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3469142 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39569 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 850500 and 8833860?\nAnswer: 662539500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19 + 15)\/((-71)\/(-138)*-2 + 1). What is the greatest common divisor of 288 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -4.34\nAnswer: -47.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(405) - (-5 + 3*sqrt(405))))**2 + (-2*sqrt(405)*1 + sqrt(405) - 4*(sqrt(405)*2 + sqrt(405)))**2)*-1.\nAnswer: -70069 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9\/5)*k*k**(-7))**(-1\/35) assuming k is positive.\nAnswer: k**(39\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t - 5*o = 195, -3*o = -4*t + 260. Let a = 75 - t. Is 7 a factor of (a\/20)\/((-2)\/(-188))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(143)*6)\/((sqrt(44)\/sqrt(4) - sqrt(11))*-2 - sqrt(132)\/sqrt(192)).\nAnswer: 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2019170.\nAnswer: 2, 5, 23, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + z**2 - 2*z**2)*(5*z - 5*z + 6*z**3) + (-z + 0*z + 5 + 2*z)*(-z**4 + 5*z**4 - 3*z**4).\nAnswer: -11*z**5 + 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106 - -225. Let z = -475\/4 + v. Let l = -6.3 - -1.3. What is the closest to z in -4, l, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*y**2 + 78*y**2 + 107*y**3 - 36*y**2 to the form q*y + d + p*y**3 + m*y**2 and give p.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -130, -206, -300, -418, -566?\nAnswer: -750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 352662750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50\/711 + -161758\/4977. Let u = 905\/28 + m. Let s be 8\/(-9)*(-6)\/4. Which is the biggest value? (a) s (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in 1\/7, 6, 4, 1.005?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/60723 and 83\/67470.\nAnswer: 607230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 281, 266, 241, 206, 161, 106?\n\"Answer: -5*q**2 + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 50*a**2 - 304*a - 134. Determine u(-43).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50524.41 days in nanoseconds?\nAnswer: 4365309024000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*t + 9*t + 72*t)*(2*t**2 - 6*t**2 + 2*t**2).\nAnswer: -248*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j. Let x(n) = 2*n. Let v(k) be the first derivative of 9*k**2\/2 + 2. Let g(b) = 6*v(b) - 26*x(b). Calculate g(y(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/3))**(1\/2)\/(k**(-1))**42*(k**5*k**(-2\/17)*k)\/(k*k*(k\/((k\/(k*k**(-2\/3)))\/k*k))\/k)**(6\/37) assuming k is positive.\nAnswer: k**(180521\/3774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/33? (a) 0.1 (b) 0.4 (c) -11.8 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 60 = -38*v. Let k(n) = n**3 + 8*n**2 + 12*n + 4. Let z be k(v). Is z equal to 142\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*c - 187*c + 47*c + 61*c + 80*c - 63 + (4 - 5 + 0)*(-2*c + 2*c - 2*c) as q*c + f and give q.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -275 - -2473\/9. Sort d, -41, 4 in decreasing order.\nAnswer: 4, d, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15\/314 - -101\/471. Let y = 1\/23 + 21\/46. Factor -y*r - 1\/3 - p*r**2.\nAnswer: -(r + 1)*(r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 16. Sort -2, 11, n.\nAnswer: -2, n, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22675846.7 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -1174*k**5 - 2*k**3\/3 - 3*k**2\/2 - 141*k - 4074. Find the third derivative of u(x) wrt x.\nAnswer: -140880*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, x: 1, v: 12}. Give prob of picking 1 x and 1 f.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in years?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 - -2.96. Let y = -0.1 + -0.1. What is the second smallest value in -0.1, p, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1423968 divided by 1304\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 28 = -5*u, -n - 4 = -2*u + 3*u. Let y(m) = -m**2 - 7*m - 3. Let v be y(u). Let a = v + 12. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 8 = 2*z, -5 = -5*z - 45 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 11?\nAnswer: 23\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -227 + -4?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43.9 and 0.6098?\nAnswer: 26.77022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2 + 3 + 0 + sqrt(245)*2 + 3)*-6*4)**2.\nAnswer: 64512*sqrt(5) + 573696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - 2 - (317 - 328)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1069c3 (base 16) to base 2.\nAnswer: -100000110100111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - -21226?\nAnswer: 21203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i - 271 = -685 + 279 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2031000 (base 6) to base 3\nAnswer: -11221122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 + -787319592066.\nAnswer: -787319592067.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/6436584 and 13\/1072764.\nAnswer: 6436584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/51)\/(1\/(-15)*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 7 (c) -35 (d) -35\/2 (e) 5 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393 = 16*h - 425 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102 - 0. Let j = 235 - b. Calculate the highest common divisor of 19 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from bfbkkfkrkfgrbbbbkk?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32144 is divided by 10471?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -0.2. Let u = j - 1. Let f = 2 + u. Which is the closest to -1\/3? (a) 0 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 11\/984?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117519709 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 32.8. Let s = -3 + 2.5. What is the third smallest value in s, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/557 + 565\/2228. Find l such that 1\/4*l**3 - 1\/4*l - k + 1\/4*l**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46161*t**4 - 21430 wrt t.\nAnswer: -184644*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024116188 to the power of 1\/3, to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-20))\/((-2)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 + 3*y**2 + 3. Suppose 0 = 79*b - 70*b - 9. Let s(p) = -p**3 + p**2 + 1. Give b*n(r) - 3*s(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -15601*z + 1092171. What is s(70)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*i + 4*r, 2*r = -4*i + r - 3. Let z = i - -4. Sort 0.5, z, 0 in ascending order.\nAnswer: 0, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 115?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/((-48)\/60).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f. Let l(k) = -11*k**2 + 35891*k - 2. Give v(l(c)).\nAnswer: 22*c**2 - 71782*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 188 = h - 5*h, -5*i = 4*h - 143. Suppose 5*b + 4*n = 60, -4*n - h - 18 = -5*b. Calculate the remainder when 45 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 2:09 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(12)*-2)\/(3*sqrt(16)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 7 + 0)*(-z**2 + 2*z**2 - 5*z**2) in the form w*z + l + y*z**2 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 5*s**2 - 5*s + 9. Calculate l(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -173 divided by -16?\nAnswer: 173\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 607*j - 30863 + 1120 for j.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/16 (b) -10 (c) -3 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-7))\/(4070\/(-56980))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 + 99. Let p be 7 + -1 - (-1 - i). Suppose 4*n - 4 = 16. Is p > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 875.8 and -2.\nAnswer: -1751.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.2586 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (2 + 4 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*-4*-3*(sqrt(1152)*-4)**2.\nAnswer: 1769472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t**4 - t**3 - 10*t**4 + 1 + 0 + t**2 in the form s*t**3 + m*t + x*t**2 + w*t**4 + r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1864 + 210 + 458259455*q**3 - 458259457*q**3 + 3*q**2 as k*q + o*q**2 + s + p*q**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -156 + 195. Calculate the highest common factor of v and 624.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9462 is divided by 182?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2269, -9043, -20337, -36151?\nAnswer: -56485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 - v + 4. Suppose -4*m - k - 67 = 0, -m = -5*k + 3*k + 19. Let p = -17 - m. Suppose -5*w + p*w = 15. What is t(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/79 in -0.4, -2\/11, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -10 + 20 - (1 + (-8 - 0)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 31*k**2 + 53*k - 8063. What is x(-17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1756 + 1751. Let l(n) = -4*n + 1. Let u be l(1). Which is the closest to 0.07? (a) 1 (b) u (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 6:27 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/3, 2\/3, -3\/2, -0.05 in increasing order.\nAnswer: -3, -3\/2, -0.05, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.3 - -29. Let t = p + 18.3. Let n = 0.77 + 0.23. Which is the third biggest value? (a) 1.7 (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*v + 41 = 173. Let i(d) be the first derivative of 41*d**2\/2 + 6*d + 1. Is i(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20 - 2\/(-4 + 3 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 30*h - 53. Let n be l(-28). Let w(g) be the second derivative of 7\/12*g**n + 5\/24*g**4 + 3*g + 1\/2*g**2 + 0. Suppose w(d) = 0. Calculate d.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {i: 3, h: 4, d: 7}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -4070.\nAnswer: -814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*i**3 + 12*i + 25\/6*i**2 - 594.\nAnswer: -(i - 18)**2*(i + 11)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + -5 - (1 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x = -99. Suppose -5*b = -2*a - 142 + 14, b = a + 25. Let c = -13 + b. What is the remainder when x is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-25))\/(12\/(-30)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 5*u**2 - 5*u + 6. Let w be j(-6). Suppose 3*y + w - 81 = 0. Solve q - 6 = -5*s - 18, y = 4*q - 5*s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (41\/82)\/((-2)\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 138*p - 20 + 634*p + 116*p.\nAnswer: 612*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 7:43 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + (-2)\/(8\/2532). Let x = s + 701. Solve 0 = 2*z - 68 + x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13709148*t**3 - 8738549 wrt t?\nAnswer: -41127444*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 760 = -0*x - 5*x, 157 = x - 2*t. What is the greatest common divisor of 15 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (8 - 54) - -12?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 39 = -4*j + 3*j, 50 = 5*z - j. Suppose 2*k = z + 7. What is the remainder when 42 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, 1, -0.2, -1.09, -29, -5?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x + 45 = 50*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.823276657888 plus -0.3?\nAnswer: 28.523276657888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.1878*22.8.\nAnswer: -528.68184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6604, 13014, 19386, 25702, 31944, 38094, 44134?\n\"Answer: -3*p**3 - p**2 + 6434*p + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-37)\/(-13) - 3 - 912\/(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + 22. Suppose n*o = 46*o. Suppose o = -4*z + 574 - 214. What is the greatest common divisor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8331968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5758683*p**4 + 12*p**3 - 458735173*p wrt p?\nAnswer: -69104196*p**2 + 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 833 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1605, 6107, 13503, 23793, 36977?\nAnswer: 53055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 4 (b) 0.2 (c) 3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149962 = -548*f + 107766 for f.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i - 22. Let a(g) = g. Suppose 4*z - 2*z + 2 = 0. Let r(x) = z*v(x) + 3*a(x). List the prime factors of r(-11).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 54 - 4*r - 1\/3*r**3 - 2*r**2. Determine u, given that y(u) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 361 times -0.2\nAnswer: -72.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399, 1112, 2259, 3840, 5855?\nAnswer: 8304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/12528*27)\/(2\/8*-6).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/8 + -21)*((-26)\/4)\/13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*i = 2*i + 20, 5*t + i = -25. Is 358\/4 + 3\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/((-6)\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, -1, -0.27, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 72053 times -13\nAnswer: -936689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*1*(-3)\/8. Let g = -5402\/17 + 1016443\/3196. Let r = 1\/47 - g. Which is the nearest to r? (a) n (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4001 is divided by 84.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6723 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m**2 - 52*m - 48 = 0. What is m?\nAnswer: -4\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 4, 7013, 7.\nAnswer: 0, 1, 4, 7, 7013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5595 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5011220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59346206 divided by -1.\nAnswer: 59346206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-12))\/((-17)\/(-34)))\/(2\/(-2))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -27*c**3 - 2*c**2 - 12*c + 2. Let p(r) = 54*r**3 + 5*r**2 + 24*r - 5. Let z(b) = 5*f(b) + 2*p(b). Let k(m) = 11*m**3 + 5*m. Give 12*k(q) + 5*z(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-39 + 4 + 10)*(-c + 2*c + 0*c).\nAnswer: 25*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 352 - -418. Suppose 60*o - 50*o = q. Calculate the highest common divisor of o and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c - 4 + 2 + 5*c - 4*c.\nAnswer: -19*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3.9, -0.3 in descending order.\nAnswer: 1, -0.3, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from itl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 7*q**2 - 9*q - 8. Calculate the remainder when 49 is divided by z(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40374213 is divided by 2743.\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + -2?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(-1\/9)*w)\/w)**(-37))**(-46)\/((w\/w**(-1))**37*((w**(2\/7)*w)\/w)**(2\/11)) assuming w is positive.\nAnswer: w**(2176600\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47*x**2 + 17*x + 2.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1276, 1345, 1524, 1867, 2428, 3261, 4420, 5959?\n\"Answer: 9*a**3 + a**2 + 3*a + 1263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 8*p**2 + 2*p + 10. Let u = -3 + -5. Let x be h(u). Is 3 a factor of (-28)\/(-3) + (-4)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/2 + (-30 - -696). Let t = 5375\/8 - z. Calculate the common denominator of t and 23\/372.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = 5*k + 2*l, 0 = -3*k + 3*l - 5 - 70. Let w = k - -101\/4. Let t = -4.5 - -0.5. Sort -5, w, t in increasing order.\nAnswer: -5, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4874955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17, -131, -2.31?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 1, -3, -866 in increasing order.\nAnswer: -866, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*t + 5*t - 7*t + 1 - 5 wrt t.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2679 and 1067652?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = k - 32, 0 = -130*k + 129*k + 2*s + 29. Suppose 0 = -2*c + 4*c - 10. Solve -k = c*m - 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -5*n**4\/24 - n**3\/6 - 5*n**2. Let r(m) = 14*m + 2. Let v(a) = 4*r(a) + 11*u(a). What is the units digit of v(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, a: 14}. Give prob of sequence ak.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6125660 - 26?\nAnswer: -6125686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 770\/(-70)*3\/((-165)\/50)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 6*u - 3. Let s be n(7). Suppose 140 = 4*t - 4*i, 0 = -s*t - 3*i + 75 + 44. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (0 - -1) - (6 + -9). Suppose -26*i + s = -25*i. Solve -5 = 2*w - 15, -5*w = -i*m - 17 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195395 (base 10) in base 5?\nAnswer: -22223040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**3 + g**3 - 3*g**3)*(0*g - 3*g + 2*g) + (1 - 1 + 2*g**2)*(5 - 3*g**2 - 5) to z*g + u + f*g**2 + d*g**3 + p*g**4 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -218\/19 + 5709\/380. Let z = -19\/5 + x. Sort z, 6\/7, -5 in descending order.\nAnswer: 6\/7, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 8*u + 42 = 0. Suppose -68 = -4*c + 4*a, 0 = 4*c - u*a + 2 - 69. Calculate the lowest common multiple of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3216416 + 1?\nAnswer: 3216417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/6*(47 - (14 - -32)).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3\/5 - 564*w**2\/5 - 45666*w\/5 - 798768\/5 = 0. What is w?\nAnswer: -129, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-6*sqrt(76)*1 + (-2*sqrt(76) + sqrt(76) - sqrt(76))*-6))**2*4.\nAnswer: 393984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u + 5. Let m(h) be the third derivative of -h**6\/120 - h**5\/12 - 5*h**3\/6 - 126*h**2. Determine m(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 195*a - 2083. Determine r(10).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -8*j + 26. Let f be a(2). Solve 0 = x + 4*x - f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2110234, -8440937, -18992108, -33763747, -52755854?\n\"Answer: -2110234*w**2 - w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 12 = -0*h. Suppose -h*j + 4 + 12 = 0. Suppose -2*n = -4*q - 14, -j*n + 3*n + 2 = 3*q. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 429.109424 - 222.10943. Let f = l + -207. Round f to seven decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4756 or 4689?\nAnswer: 4756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -5. What is the closest to 2\/11 in -9\/8, u, -4?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-130)\/(-25) - 4)*8385\/(-4). Let z = -12607\/5 - f. Calculate the common denominator of 139\/6 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 3*x - 9 - 1, -3*u - 19*x + 7 = 140 + 9 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*a*n**2 - 5*a*n + 501*a - 8*n**3 - 19*n**2 + 453 with respect to n.\nAnswer: -28*a*n - 5*a - 24*n**2 - 38*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**6\/120 - z**5\/30 - z**4\/24 + z**3\/3 - 4*z**2. Let t be x(2). Is -4*((-1060)\/t)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.062 - 58.938. Let v = n + 59.046. Let j = v + -0.03. Round j to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11025)\/(-75)*(-40)\/140?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24257 - -143.38938.\nAnswer: 143.63195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12 - -10) + 4\/12*-3. Let h(f) = f**2 + 3*f - 1. Let a(w) = -w**2 - 2*w + 2. Determine q*a(b) - 2*h(b).\nAnswer: b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/14*96\/(-80). Let c = -0.272 + -0.228. Put 0, c, -3, y in decreasing order.\nAnswer: 0, y, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**6\/40 + s**5\/4 - s**4 + 2*s**3 - 8*s**2 - 1. Factor f(l).\nAnswer: -3*(l - 2)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 6*q - 5. Let a be s(7). Sort a, -1, 5 in ascending order.\nAnswer: -1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**2 - 2*t + 37. Let r be v(11). Is 4\/26 - (-12092265)\/r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(252)*2)**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 10:41 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h = -58 - 140 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mpmmpppppppppmpppppp.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/111 and -65\/21.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 289542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*r - 2*c, 2*r + 5*c - 60 = -46. Let f(k) = 43*k - 80. Let x be f(r). Let q(o) = -o**3 + 4*o**2 + 9*o - 3. Give q(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 91. Suppose 5*y - 79 = 6. What is the least common multiple of d and y\/4 - 20\/80?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*k - 9 = -53*k. Let m(n) = -n**3 - n + 1. Let l(c) = -c**3 + 2*c**2 - 3*c + 3. Let t(s) = k*m(s) + l(s). Find p such that t(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 472, -4\/5, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2 + 28. Suppose -2*u + z*u = 268. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -815, -818, -821, -824, -827, -830?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 20220?\nAnswer: -20211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 576*t**5\/5 + 160*t**3 - 98. Find the third derivative of k(r) wrt r.\nAnswer: 13824*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4891624, 4891546, 4891468?\nAnswer: 4891390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/110929 and -36\/110929.\nAnswer: 110929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 - 12*m - 14. What is the remainder when 32 is divided by t(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/25*5\/(-4). What is the third biggest value in 6, h, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -204268.1099 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 5:12 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -648017.4993638025 + -978.5275802975. Let s = -648996 - m. Let k = s + -0.0269. Round k to 6 dps.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m - 20. Let h be j(6). Suppose p + 20 = 5*p - 4*q, -4*p - q = -5. Factor -h*b**2 - 16*b + 5*b**2 + 3*b**2 + p + 10.\nAnswer: 4*(b - 3)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6491918930?\nAnswer: 2, 5, 7, 113, 820723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 73, 110, 169, 256, 377, 538?\n\"Answer: i**3 + 5*i**2 + 15*i + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -5.723 (c) -0.0087\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = g + 15, 3*g - 10 = -m + 7*g. Let f be (4 + -2)\/((-4)\/m). Solve 0*j = -f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 > -828911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -151066 times 3.5?\nAnswer: -528731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 172\/2236*104\/60\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3380456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0. Let o = 5 - -4. Let f = 8.7 - o. Which is the closest to y? (a) 0.1 (b) f (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7611 is divided by 169.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 10*i - 7*i. Suppose 3*l = i*l + 23. Suppose 3*j = -2*j + 40. What is the remainder when l is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 24 = -7*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 56?\nAnswer: -11\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 407497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g - 4 - 1 + 14*g. Let u(r) = -4*r + 2. Let f(i) = -3*h(i) - 8*u(i). Is f(-5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13139500 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84536020 and 35?\nAnswer: 591752140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in years?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*f**3*y**3 + 3*f**3 + 3*f**2*y**4 - 2*f**2*y - 7*f*y wrt y?\nAnswer: 210*f**3*y + 36*f**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-6 + 0 + 5)*(3 - 3*m - 3) + (1 + 2 - 1)*(4*m + 0*m - 2*m))*(-m + 6*m + 3*m) as j*m**2 + o + r*m and give j.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132232\/5 + -396671\/15. Factor 20\/3 + 52\/3*a + v*a**2.\nAnswer: (a + 10)*(5*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41581?\nAnswer: 43, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*w - 22*w - w**2 + 113*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + ((sqrt(2736) + -2 + sqrt(2736))*-6)**2*3) + 1.\nAnswer: -10368*sqrt(19) + 1182388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 32418863.\nAnswer: -5\/32418863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzola. What is prob of sequence la?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 285*r**3 + 4*r**2 + 9*r + 52 wrt r?\nAnswer: 1710*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2625 = -24*j. Calculate the remainder when j is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0901855665 rounded to six decimal places?\nAnswer: 0.090186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385041, 385008, 384979, 384954, 384933, 384916?\nAnswer: 384903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2890?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-5 - -8))\/(-5*1\/2)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2. Suppose -2*x = -0*x - 14. Let t = -5 + x. Let j(u) = -u + 3*u**t - u**2 + u. Give n(j(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**6\/210 - u**4\/42 + 17*u**2. Factor g(d).\nAnswer: 4*d*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/220 and -17\/1386.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 7. Let q be g(8). Sort q, -3, 4.\nAnswer: -3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1824 and 400099872.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 62376.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -28. Let t = 184\/5 + -36. What is the nearest to b in t, -1\/2, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - 30300112?\nAnswer: -30300022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/139, -5, -2, -129\/7 in increasing order.\nAnswer: -129\/7, -5, -4, -2, 2\/139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 + 1. Let v(r) = -r**2 + 8*r + 4. Let t be v(6). Let y = t - 12. Which is the nearest to -1? (a) z (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5397 - -6457. List the prime factors of k.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-4) + (-1)\/(-1). Is (-1 - x) + 11 + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 2:23 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299 - 309 = 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 15*i + 1. Let v(a) = -16*a. Give -3*j(l) - 2*v(l).\nAnswer: -13*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.5, 2\/17, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -0.2 (c) -12 (d) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - (-52)\/(-12))*0. Solve -s - s - 2*h = l, s = -2*h - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/525?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5116.887 litres to millilitres.\nAnswer: 5116887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6023294471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285 + 285 + 23*x.\nAnswer: 23*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -20169314 divided by 3?\nAnswer: -20169314\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 5*k - 23, -k + 3 - 2 = -3*v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, o: 10}. Give prob of sequence lo.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p - 29. Let y(k) = -4*k - 30. Let d(b) = -5*m(b) + 4*y(b). Let j be d(14). Find the second derivative of 4*g + 3*g**5 - j*g - 2*g**5 wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szzziccessehzzzzci. Give prob of sequence sce.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10 - 0)*88\/(-10). Let q = -63 + l. Let b(s) = -s**3 + 6*s**2 - 3*s + 3. What is the remainder when q is divided by b(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*b**6 - 10*b**4 - 2913*b**2.\nAnswer: -1800*b**3 - 240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 + -43 + 2 + -76?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -628015\/492 or -1276?\nAnswer: -1276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is cdad2 (base 16) in base 3?\nAnswer: 1120210121212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 103*l - 1. Let o(t) = 432*t**2. Calculate y(o(n)).\nAnswer: 44496*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 246 + -123. Let r = -57 + q. What are the prime factors of r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 14053452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86699.\nAnswer: 181, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9142528 and 16188.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5 + 50089*r**4 - 651036*r**3 + 2403684*r**2 - 1802736*r = 0.\nAnswer: 0, 1, 6, 50076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-51)*((-3807)\/(-94))\/(-81)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-3) - 99\/27) + -2. Let u(s) = s**3 + 5*s**2 - 6*s + 13. Let y be u(c). Find the third derivative of -y*z**2 + 6*z**5 + 8*z**2 + 30*z**2 wrt z.\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 + l + 1. Let n be v(-1). Let u(y) = -y**3 + 6. Let k be u(0). Suppose 2*g - 11 = -n*m, -g = 2*m + g - k. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 13 (b) -6\/11 (c) 1.64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Let z(q) = -q**l - 2 + 2*q**3 - 2*q**2 + q - 1. Let k(p) = p**3 - 7*p**2 + 7*p - 46. Let w be k(7). Determine z(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*r + 7, 0 = -5*p + 2*r + 3 - 0. Suppose -4*t + 8 + 0 = 0. Let d(y) = 4*y + 0*y - 5*y - 1 + y**t. Give d(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 divided by -5?\nAnswer: -288\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51\/70 - 677\/70. Find the common denominator of -59\/3 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*h - 20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188786 is divided by 94390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -44. Let g = 73704 - 73721. Is n at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 97 (b) -45\/8 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 9. Let x be 1\/(-2*(-1)\/q). Let k(p) = -13*p - 12. Is k(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.121193059 rounded to 5 dps?\nAnswer: -0.12119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -15. Let s(t) be the third derivative of t**5\/30 + 7*t**4\/24 + t**3\/2 - 24*t**2. Calculate the least common multiple of 8 and s(l).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (137\/(-548))\/(7\/(-8))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22832639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 314\/(-8))*4. Let f(z) = -35*z + 151. Let r = 191 - 188. Let n be f(r). Calculate the greatest common divisor of n and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 23110172?\nAnswer: 23110172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from stuaw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*y - 2*y + 1 - 5*y + (-1 - 1 + 0)*(-1 - 2*y + 1))*(3 + 5 - 5) in the form k + t*y and give t.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 30. Let m be d\/18 - (-2)\/18. Which is smaller: m or -16\/7?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - x + 0*x to i*x + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382380*o + 764689*o - 382365*o.\nAnswer: -56*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.67 and 17?\nAnswer: 15.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4371 and 2.\nAnswer: 4373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 130 and 2.1.\nAnswer: 132.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1094345 kilometers?\nAnswer: 109434500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 28 = 4*g, 53*d - 52*d = 5*g + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*z + 16, -2*z + 1 = -4*r - 13. Suppose 0*t + 5*b = -5*t + 45, -z*t = 2*b - 30. Solve d + t*d + 15 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d + 24 = -14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**6\/120 + i**5\/12 - i**4\/4 - 7*i**3\/6 + 39*i**2. Let s = 3 - 3. Suppose -c - 27 = 5*y, s = 2*y - 2*c - 3*c + 27. Give l(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 10. Suppose 46 = -5*r + 3*z, 4*r + 2*z - 5*z + 38 = 0. Let v be h(r). What is the greatest common factor of v and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227951 smaller than 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1)*10\/32.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-11 - (0 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -22, 599, 4 in descending order.\nAnswer: 599, 24, 4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-6))\/((-18)\/81). Let h(l) = 118*l**3 + 2*l**2 - l - 6. Let u be h(t). Suppose u = 3*j - 4*b, -2*j = j + b - 3210. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2621 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*z**2 + 17*z**2 + 2*z**4 + 4 + 17*z**2 - z**3 - 36*z**2 as u + r*z**3 + q*z + v*z**4 + w*z**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5599.7 and -3.\nAnswer: 16799.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l + 26 = 2*q, -q = -4. Let v(i) = -i - 4. Let f be v(l). Solve -3*x + f*x = 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10955 and 2219.\nAnswer: 3472735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-3))\/16*6\/27\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*l = -406, 2*l = -q + 452 - 67. Calculate the remainder when q is divided by 127.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001433581632 rounded to seven dps?\nAnswer: -0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -788, -848, -934, -1034, -1136, -1228, -1298, -1334?\n\"Answer: 2*q**3 - 25*q**2 + q - 766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85 - (55 + (-97 - 12)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17301 divided by 3\nAnswer: -5767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**2\/s)\/s**8)**24*((s*s**(-2\/19))\/s**5)**42 assuming s is positive.\nAnswer: s**(-6012\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*f**4 - 19*f**4 - 2*f**3 - 1 + 7*f**4 in the form h*f + q*f**2 + d + y*f**3 + z*f**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**16\/u**(-9\/7) assuming u is positive.\nAnswer: u**(121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.7 (b) -92.21 (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 2348 = -2*j, 2*x - 2334 = -4*j. Solve -12*o - 1157 = -x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-1232)\/(-120) - 2\/(-3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/1525 smaller than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l. Let f(d) = 30*d**2 + 869*d. Give m(f(s)).\nAnswer: 60*s**2 + 1738*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119646 and 22563.\nAnswer: 13041414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (360\/25)\/9*(-2)\/(-24). Let m(x) = x**2 + 9*x + 4. Let b be m(-7). Let k be b\/56 - (-8)\/(-32). What is the nearest to -2 in -0.1, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -165 - -178. Suppose 0 = -3*t - 2*c + 71, -3*t + 0*c + 67 = c. Let r = g - t. Let z(v) = v - 3. Determine z(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1 - -2 - (-12 - -42)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 584071 and 37018?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 8*p**2 - 8*p + 9. Suppose 0*t = -2*t - 18. Let c be d(t). Solve 2*a = -c*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 203*o**3 - 203*o**3 + 266*o**4 + o**4 + 5*o**3 - 5*o**3 + (3 - 1 - 4)*(5*o**4 - 2*o**4 - o**4) - 3*o**4 + 2*o**4 + 3*o**4.\nAnswer: 265*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9568 and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 8. Suppose 3*h - 3 + 0 = 0. Which is the closest to -0.1? (a) h (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -548, -2121, -4704, -8267, -12780, -18213, -24536?\n\"Answer: 5*m**3 - 535*m**2 - 3*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -19495 - -22087. Calculate the least common multiple of x and 810.\nAnswer: 12960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -3, -2\/147073?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)*k*k**0\/k*k**(-5)\/k*k\/k**(-2))**(4\/21))**(-11\/5) assuming k is positive.\nAnswer: k**(44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen fifteenths of a hour in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5081370578 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 17*x**2 - 13*x - 19. Let j be z(-16). Let b = j + 72. Suppose 0 = -b*s + a + 533, -2*s + 155 = -5*a - 49. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-33) - 897\/33. Let m = -23 - d. What is the common denominator of (-6)\/7 + (-8)\/m and -26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000657017479 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001115610963 to seven dps.\nAnswer: 0.0001116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -138917 + 593?\nAnswer: -138344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -22. Let a = -10 + o. Is (2 - (a - 2))\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110011010001100110 (base 2) to base 10\nAnswer: -734310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w*y**2 + 3*w*y + 370414*w - 64*y**3 + 26*y with respect to y.\nAnswer: -2*w*y + 3*w - 192*y**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1145563 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, y: 1, l: 5}. Give prob of picking 1 l, 1 q, and 1 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 305910, 611820, 917730, 1223640?\nAnswer: 1529550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -2*r, 2*f + 4 = -2*r - 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96883210?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 507.9258 - 508. Let x = -0.07418081 - o. What is x rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -17*v**3\/6 + 118*v. Let u(l) = -9*l. What is -4*h(i) + 7*u(i)?\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*h + 12, -4*j - h = h - 30. Suppose -4*f - 10 = -j*f. What is the smallest common multiple of f and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0675983934 - -64.0676024934. Let y = i - 64. Round y to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Let m be (-4)\/(52\/3)*(260 + -273). Let d(h) = -h**3 - 5*h**2 - 6*h - 3. Let s be d(-4). Solve -p - m*q = r*q - 14, -2*q = s*p - 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32599882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 690640188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5521432 is divided by 29060?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 1.5. Let k = 2 - 3. Let f = 1.1 + k. Which is the biggest value? (a) f (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1308301 years in months?\nAnswer: 1.5699612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 0.6, 13?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*w - 10 = 0, 5*w - 8 = -3*u + w. Calculate the least common multiple of 1 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130 + 132. Let l = -0.44 + -0.06. Let i = 4 - 0. Which is the closest to j? (a) i (b) l (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 627 and 21?\nAnswer: 4389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1052653 divided by -1\nAnswer: 1052653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((-78)\/(-8))\/(9\/31536*18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7434969*i**4 + 4879101*i**2.\nAnswer: -178439256*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - n)*(n**3 - 3*n**3 + 0*n**3) + ((1 - 1 + n)*(2 - 2 - n**2) + 5*n**3 + 4 - 4 - n + n - n**3)*(296 - 291 + n - 3*n).\nAnswer: -4*n**4 + 15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1883053350 divided by -6\nAnswer: 313842225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 9*j + 1. Suppose -5*z - l - 16 = -3*l, -15 = -5*l. What is the remainder when z + (-6)\/(-3) + 2 is divided by y(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -2, -36, 12 in decreasing order.\nAnswer: 12, -2, -3, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125*b**2*o**2 - 20*b**2*o + b**2 - 6*b*o wrt o.\nAnswer: 250*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5116*z - 3*z**2 + 5116*z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3577*m + 3554*m = 161 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.2914495 rounded to zero decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 28*l + 1. Let p be s(3). Suppose 0 = -5*a, 0 = -5*b - 4*a + a + p. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 303*q**2 - 207*q - 2. Let m(t) = -5150*t**2 + 3520*t + 35. Let o(j) = 2*m(j) + 35*z(j). Find the second derivative of o(r) wrt r.\nAnswer: 610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28105 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - h = -9, g - 5*g + 2*h = -66. Calculate the least common multiple of 20 and ((-4)\/(-5))\/(g\/35).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 375376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329471 is divided by 47064.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*m + 10*m - 744. What is the remainder when 206 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3, -3*x + 26 = 2*i + 8. Let k(t) = t - 11. Let y be k(x). Sort -4, -2, y in decreasing order.\nAnswer: -2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 6 + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -494*k + 57. Let c(s) = -43*s + 5. Let d(y) = 57*c(y) - 5*j(y). Let b(q) = q**2. Determine d(b(a)).\nAnswer: 19*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.5 (b) -3 (c) 2\/7 (d) 1.3 (e) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-12)*(0\/(-2) + -3). Let h be (-1)\/(6\/(-4)) - (1 + s). Find j, given that h*j - 1 + 1\/3*j**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -260204 times -2\nAnswer: 520408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**2 - 4*b**2 + 9*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3076 = v - 5*r, 4148 = 4*v - 5*r. Calculate the greatest common divisor of v and 144.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-183)\/(-12) - 1\/4. Let i = 75 + 45. Calculate the highest common factor of i and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -32*c - 333. Give g(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 603 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -39117682.8 to the nearest one thousand.\nAnswer: -39118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-3 + 12\/9?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -14*d + 2. Let t be w(-1). Let i be 1*-2 + t\/2. Find m such that 4*m**4 - 2*m**4 - m**5 - 8*m**2 + m**3 + i*m**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 4:10 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 18\/(-4))*(0 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -12. Suppose p*n = n + 3. Do n and 1 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 0*z + 3*z + 15, -2*x + 20 = -4*z. Let m = 99062 + -99067. Which is the fourth smallest value? (a) -0.5 (b) x (c) m (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8562 - 8562 - 6673634*x**2.\nAnswer: -6673634*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-12)\/(-2))*10\/(-30). Let g(v) = -3*v - 2. Let m(t) = 10*t + 5. Let r(j) = 11*g(j) + 4*m(j). Give r(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1939183 - 293935 = 5*b, 4*h = 2*b + 2233136. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 19. Let x be w\/(-49) + (-4)\/14. Determine k, given that 0*k**3 + 0*k**2 + 2\/7*k**5 + x + 0*k - 2\/7*k**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, 2\/37, 0, 29?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*b - 146*b - 17*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2557667816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1763563.357 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/703397?\nAnswer: 3\/703397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from {z: 2, i: 1, c: 2, b: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 - 12*w + 11. Suppose 5*n - 5*j - 11 - 4 = 0, 3*n - 17 = -j. Let y be i(n). Suppose y + 19 = 2*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 0 - 98*x**3.\nAnswer: -98*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 542600 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - c + 1. Let a(i) = 4*i**2 + i + 3. Give a(o) - s(o).\nAnswer: 3*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*v + g, 87*v + 5*g + 5 = 92*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j + 47. Suppose -24*f = 6*f - 150. Determine v(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 6, 57, 140?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 + -50. Suppose -2*k - 2 = 0, 4*p = -4*k + 6 + 2. Suppose 5*o - 20 = -2*n, 5*n + p - 22 = 3*o. Calculate the lowest common multiple of t and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 19 - 4*z + 25*z + 9*z - 16. Let f(r) = 59*r + 5. Let x(s) = 3*f(s) - 5*k(s). Let v(h) = -h**2. Calculate v(x(w)).\nAnswer: -729*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 95549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1777, 7324, 16881, 30700, 49033?\nAnswer: 72132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2494 divided by -2\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.7 - 1.5. Let j be (-2)\/(-6) + -1 + 1. Sort o, j, -0.2 in descending order.\nAnswer: j, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -6539, 5, 0.4 in descending order.\nAnswer: 5, 0.4, 3\/8, -6539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 78\/53?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -0.1 (c) 34513 (d) 6 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5775, 12041, 18309, 24579?\nAnswer: 30851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 40 = 84. Calculate the remainder when 174 is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 9. Let u be m(-7). Let y(i) = -7*i + u + 7 - 5 + 5*i + 3. Give y(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 157383*k. Let l(c) = 4*c. Determine r(l(a)).\nAnswer: 629532*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42289504 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1558 + 553?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24 and -14892528.121802.\nAnswer: -14892552.121802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0091 - -0.018276. Round m to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 5.476.\nAnswer: -54.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 13975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*q**2 + 224*q**3 - 670*q**3 + 223*q**3 + 225*q**3.\nAnswer: 2*q**3 - 70*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 434*k**2 - 865*k - 432.\nAnswer: -(k + 1)**2*(k + 432)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 5 + 5)*(19 - 19 + 13*a).\nAnswer: -26*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 762818?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/((-72)\/90).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icacsllm. What is prob of sequence acc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 55 = 9*f. Suppose j - 3*z = -0*j - 12, 3*z - 30 = -f*j. Solve 1 - j = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 15*h - 14. Let v be k(-7). Let m be (v - -25)*(0 + 1). Solve -24 = r + 8*l - 3*l, m*l = r - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 3*i - i + 4*i + i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:08 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1413*(-10)\/15*10\/(140\/63)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3721.15 in 2\/5, -0.2, 6, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 5*m + 8. Let x be z(7). What is the units digit of (x\/(-4))\/((-5)\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45777 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2 + 4*o. Let u(z) = -9*z**2 + 11*z. Let b(v) = -11*p(v) + 4*u(v). Let n(m) = -31*m**2 - 40*m**2 + 63*m**2. Calculate b(n(g)).\nAnswer: -192*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3497110 divided by 145\nAnswer: 24118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16339579?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92924*u + 0 + 1 + 92987*u)*(-36*u**2 + 36*u**2 + 3*u**3).\nAnswer: 189*u**4 + 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.846943 rounded to two dps?\nAnswer: 4.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 888, 1041, 1194, 1347, 1500, 1653?\n\"Answer: 153*g + 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -724\/3 - -237. Let q = 14.32 - 13.82. Which is the biggest value? (a) -2\/9 (b) q (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3118403441\/1305 - 2389581. Let g = t + 6\/145. What is the second smallest value in -5, 2\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3616263 take away -170?\nAnswer: 3616433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1310331 (base 4) to base 3.\nAnswer: -101021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 132\/(-105) + (66\/(-363))\/(150\/(-1155)). Factor 1\/7*c**2 - n*c**3 + 0*c + 0.\nAnswer: -c**2*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 h when four letters picked without replacement from {v: 1, e: 4, h: 8, u: 1, p: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(6\/13)*q*q\/(q\/q**(4\/3)))\/(q**24*q**(3\/8)) assuming q is positive.\nAnswer: q**(-6709\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*((-2)\/(-4))\/((-6342)\/6040)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**2\/2 - 4*k - 1. Suppose y + 16 = -3*y. Let o be c(y). Solve 5 = 5*d - o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 371 - 367. Sort -3, 3, s, 1 in descending order.\nAnswer: s, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)*h*(((h\/(h\/(h**(-2)*h)))\/h*h*h*h)\/h*h)\/h)\/(h**(-2)\/(h*h\/(h\/(((h\/(h*h*h**(-2\/11))*h)\/h)\/h)))) assuming h is positive.\nAnswer: h**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 37 - 71 = -3*w, 5*v + 22*w - 7 = -91 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/15 + 5*j. Determine k, given that t(k) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.06 (b) -175 (c) -1 (d) -5 (e) -134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43026 by -8.\nAnswer: -21513\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -197.051 to zero decimal places.\nAnswer: -197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49743*i**4 + 54*i**2 - 8103955 with respect to i.\nAnswer: -198972*i**3 + 108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -10*l - 6. Let b be s(-1). Suppose 4*v - b = -i - 3*i, -2*i = -3*v + 13. What is the first derivative of 87 - 57 - 55 - o**v wrt o?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -155, -629, -1425, -2549, -4007?\n\"Answer: -n**3 - 155*n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + (2 + (sqrt(2) + 1 - sqrt(2)))**2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8515d6 + 7?\nAnswer: -8515ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 8*a + 17. Let p be f(-3). Suppose -16162 = -p*x + 658. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 20*h**2 - 48*h + 28 = 0.\nAnswer: 1, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-308)\/(-880)*5)\/7)\/((-2)\/(-208)*-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-215)\/10)\/(-43))\/((-2)\/36)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-9 + 5 - (-2 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -93*t**2 - 35*t + 18. Let b be z(14). What is b rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 6:11 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**2. Let j(i) = -3*i**2 + 2*i. Suppose 5*n - 12 = n. Let w be n + 2\/4*-2. Let v(l) = 6*l**2 - 5*l. Let q(o) = w*v(o) + 5*j(o). Give q(r(u)).\nAnswer: -75*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(17\/5)\/b**6*(b**(-1\/9))**(12\/13) assuming b is positive.\nAnswer: b**(-527\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25146197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 4*u + 5*u)*((-4 + 5 - 2)*(-27 + 5 + 7) + (4 - 1 - 1)*(1 + 0 + 1))*(73 - 73 - 12*u**2).\nAnswer: 684*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 22*p**3 + 1. Let y be ((-1)\/3)\/(2\/(-18)). Let t(z) = -z**3 + 3*z**2 + 1. Let k be t(y). Is c(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 14247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p - 42*p + 21*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 10782.128?\nAnswer: -10782.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -250?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1945\/(-2723))\/((-3)\/7))\/(2\/(-48)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(192)*-1)**2.\nAnswer: 32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -10*b - 1456. Let y(j) = j**2. What is r(y(m))?\nAnswer: -10*m**2 - 1456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 17*i**3 - 3*i**2 + 3*i + 3. Let j(n) = 52*n**3 - 8*n**2 + 8*n + 8. Determine 8*d(s) - 3*j(s).\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -157, -154, -151?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*o + 86 - 150*o - 27.\nAnswer: o + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 24\/50004743?\nAnswer: 24\/50004743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/99, 0.1, -2, -0.5, -139\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/33 and -23 - (-5346)\/234 - 1588\/(-23166)?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-6 + 3 - -3). Solve 0 = x - 2*i - h - 4, 0 = 4*x + i + 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127 a factor of 9578001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbbboobbbobb. What is prob of picking 4 b?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.114, 0.5, 0, -0.244, -6\/13?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 13, 19, -17, 3\/5, 1\/3 in increasing order.\nAnswer: -17, 0.3, 1\/3, 3\/5, 13, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -3*p**2 - 7*p + 1. Let y be u(5). Let j = -19 - y. Calculate the greatest common factor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**2 + 162640*f + 325264 = 0. Calculate f.\nAnswer: -40658, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, 3, 220.\nAnswer: -1, 3, 11, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 6 (b) 3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*g - 1, -2*g - 3*g - 11 = w. Which is the smallest value? (a) w (b) -3 (c) 2\/719\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -545, -540, -533, -524, -513, -500?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48 or 32728\/681?\nAnswer: 32728\/681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3 = -0*n. Let k be n + 1\/2*6. What is the greatest common factor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 405792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (132\/(-88))\/(3\/3 - -5). What is the second biggest value in d, -0.19, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3950 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/10*0)\/(-2). Solve -1\/3*d**2 + l + 0*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(108) + 0 + sqrt(108))*2 - (sqrt(3) + sqrt(216)\/sqrt(8) + sqrt(3) - (sqrt(6) + sqrt(24)\/sqrt(4) + sqrt(6))\/sqrt(2)))**2.\nAnswer: 44652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18034 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 344, 4, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -176061?\nAnswer: -5\/176061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, d: 4, g: 1, q: 3}. What is prob of picking 3 q and 1 g?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -h + 20, -5*h - m = 28 - 33 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67296, -67294, -67292?\nAnswer: -67290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-12) + (-685)\/6. What is s rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/2 + -2 - -2. Sort 0, x, -5, 3.\nAnswer: -5, 0, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, y: 2, n: 3, z: 3}. What is prob of sequence ze?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5563 + -3859. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 574 + -572. Suppose 33 = 5*b - 4*b. What is the remainder when b is divided by c\/(-6)*-33 - 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2066583582 - -4729.7\nAnswer: 2066588311.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 3)\/((-10)\/(-65)). Let g = q + -8. Calculate the least common multiple of g and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 833*t - 71628. Determine c(86).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 50 - (170 + -163). Solve -l*u - 27 = -51*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30396 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 - 2 = -s, 25 = -5*s + 2*y. Let w = s + 7. Solve 0 = -3*d - w*d + 5*h - 13, 2*d + 4*h = 28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + (sqrt(2) + sqrt(128)\/sqrt(4) + -3 + sqrt(8)\/sqrt(4) + sqrt(2) + sqrt(2) + sqrt(2))**2 + (sqrt(24)\/(sqrt(12) + sqrt(12)*-5*3))**2)*-1.\nAnswer: -16269\/98 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by -20\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1794724154 and 31208.\nAnswer: -1794692946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 10*q**3 + 1. Let a be k(1). Let i(b) = -14 + 8*b**2 - 8*b**2 - b**2 - 7*b + 27*b. Let c be i(a). What is the highest common factor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51312654 less than or equal to -51312652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69341.62 litres to millilitres.\nAnswer: 69341620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6193?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -13. Let m = w + -5. Suppose -m*u + 68 = -6. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from ststssytutsuus?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58298 is divided by 29083.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-3 - -1) - (-42 - -30). Let i(a) be the second derivative of a**5\/20 - a**4\/3 - a**3\/3 - 7*a**2\/2 - 3*a. Calculate i(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*(sqrt(1872) + 3)*-6 + (-2 + sqrt(1872) - sqrt(1872)) + -2 + 1 + sqrt(1872) + 0))**2.\nAnswer: 164736*sqrt(13) + 5079312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*1*3)\/sqrt(9))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8753 and -3.\nAnswer: -8756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*l - 53*l + 3*l**2 + 2 + 0)*(-6 + 1 + 4) to the form p + m*l**2 + n*l and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 - -87. Let k = 13 - x. Let n(c) = -c + 3. Let q be n(-11). Solve -4*t - 5*o = -0*t - k, o - q = -4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 3:29 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 40. Let n be p(0). What is the units digit of (1\/2)\/((-2)\/n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 65 = -10*k, 0 = 4*k - 2*k - 7*k + 9*y + 16*y + 160 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17857, -17859, -17861, -17863, -17865?\n\"Answer: -2*r - 17855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 + 3*k - 2. Let s be u(1). Suppose 5*g + s - 29 = -3*b, -2*b = 3*g - 15. Solve -2*v - 2 = b, l - 2 = v + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3\/i**1)**(-14\/9)\/(i**(-7)*i**0*i)**(-8) assuming i is positive.\nAnswer: i**(-460\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 12*a. Suppose 3*m = 2*m + 23. Let v = 24 - m. What is n(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*t**2 + 1\/3*t**4 - 6*t**3 + 588 + 1708\/3*t.\nAnswer: (t - 14)**2*(t + 1)*(t + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 2*o - 69 + 141 - 66, -s + 5*o = 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 15*x + 6089. Is f(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -215 (base 11) to base 16\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 1989?\nAnswer: 397.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-four fifths of a decade in months?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 92\/7, 1, -0.05, 64?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 17*o**4\/6 + 10*o**3 - o**2 - 80. What is the first derivative of u(m) wrt m?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 348241, 348238, 348233, 348226, 348217?\n\"Answer: -a**2 + 348242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + p = 5*i - 2*p, -4*i = -p. Solve 2*n = -3*j - 14, 3*n - 5*j - j = i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*g - 19, -3*g + 7 = 1. Calculate the remainder when t is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 464709, 1858830, 4182373, 7435344, 11617749, 16729594, 22770885?\n\"Answer: o**3 + 464705*o**2 - o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/4362 and -2\/9.\nAnswer: 13086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21.1 * -79\nAnswer: -1666.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 7.94. Let j = -0.01 + w. Let v = 5.44 - 4.44. Sort v, -0.3, j in descending order.\nAnswer: v, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 31 = -10*f. Suppose -5*q + 1400 = 5*t, f*q - 4*t - 1067 = 21. What are the prime factors of q?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p**2 + 26*p**2 + 24*p**2 - 145*p**2 + 52*p**2 + 15*p**2 + 25*p**2.\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(12)\/sqrt(4))**2 - 1*sqrt(48)) + 5 + (-2 + sqrt(300) + sqrt(300))**2 + -5 + (sqrt(3) - sqrt(3)*-1).\nAnswer: -84*sqrt(3) + 1208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqtgadwa. What is prob of sequence qqa?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -25051 (base 10) to base 15\nAnswer: -7651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 8*y**2 - 13*y + 3. Let b be ((-28)\/(-5))\/((-90)\/(-225)). Suppose 0 = b*c - 25 - 59. Give g(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (14\/20)\/((-2)\/(-12))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26404017.\nAnswer: 3, 53, 166063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2) + (-15)\/(-6). Let k(g) = g + 3*g + m - 6 - g. Suppose 1 + 3 = c. What is k(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 7*r - 10. Let v be m(8). Let t = v - -1. What is the remainder when 19 is divided by -2*(t - 5\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**5\/20 - 13*y**4\/12 - 5*y**3\/2 - 41*y**2\/2 - 6666*y. Calculate g(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/14)\/(q\/(q\/q**(-4))))**(-2\/3)*(q**(-1\/14)\/(q**6\/q))\/(q\/(q*q**(-2\/7)))**(-27) assuming q is positive.\nAnswer: q**(1\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 43*z + 224. Determine w(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s**2 + 20*s + 8. Let q(v) = 9 + 11 - 23 - 2*v**2 - 7*v. Calculate 3*d(z) + 8*q(z).\nAnswer: 2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 7*r - 4. Let l be u(6). Suppose w + l - 7 = 0. Solve -7*z + 2*z + w = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22456, 44936, 67416, 89896, 112376?\n\"Answer: 22480*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efz when three letters picked without replacement from feefeze?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 318 + -273. Let n = 40 - p. Let s be 11\/15 + 1\/(-3). Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 321058*f**4 - f**2 - 11362*f + 1 wrt f.\nAnswer: 7705392*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h + 3*h**2 + 13 - 2 - 25*h. What is the remainder when 195 is divided by o(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d - 17 + 17.\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*(-3 + sqrt(448))*-6 - ((-2 + sqrt(448) + sqrt(448) - sqrt(448))*-6 + 5))**2.\nAnswer: -61632*sqrt(7) + 592058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7 + 7*i + 3 + 3*i - 16*i. What is j(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 316 (base 8) to base 16\nAnswer: ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -147*x + 140*x + 217. What is the remainder when 959 is divided by x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*w + 3*w = -7, w = -3*c - 11. Let p be 2 + (8*1187 - c). What is p rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/281)\/((-36)\/(-124425)*14). Let d = y + -2\/281. Suppose -1\/2 + d*h**4 + 9\/4*h - 9\/4*h**3 - 5\/4*h**2 = 0. Calculate h.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301484785.\nAnswer: 5, 7, 8613851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + 60 + -52 - 68.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*s**3 - 1148*s - 2872*s**2 + 2*s**3 + 7*s**3 + 5*s**3.\nAnswer: -s*(s + 574)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115 - 100 - 162 - 152)*(-a**3 - 4*a**3 + a**3).\nAnswer: 1196*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 39453289 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 7:01 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1177 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*v + 6 = 0, -4*v + 3 = -5*k + 30. Let r = -1.4 + -4.6. Let j = r - -3. What is the second biggest value in 1, j, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13516.13577 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2643580 or 2643579?\nAnswer: 2643580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 67*l**2 - 5*l + 4. Let w be b(3). Let f = w - 341. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19626588, 19626585, 19626582, 19626579, 19626576?\n\"Answer: -3*l + 19626591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 773 - -1123. Calculate the greatest common divisor of 48 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29052 is divided by 29028?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*y = 213*y + 72. Suppose 374 = -y*l + 11*l. Is l a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (150\/35)\/((-2)\/(-7))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 9:42 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 3. Let b be m(3). Suppose -3*h - 108 = -b*h. Let i be 386\/h + 2\/9. Is i >= -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-3)*y)\/y)\/(y*y*y**(2\/3)*y)*y**(-2)*y**(11\/3) assuming y is positive.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31568658 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6840 divided by 4\nAnswer: -1710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.84 - -0.16. Let v = h + -7.7. What is the second biggest value in 5, v, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a**2 - 4*a + 7. What is m(-4)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78693070?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*s**2 + 3615*s + 60997.\nAnswer: -18*s + 3615","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 17*v - 5. Suppose 2*x + c = -0*x - 23, -x - 16 = -c. Let d = -23 + 47. Calculate the remainder when u(x) is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k - 249 = -339 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*v**4 + 2223*v**3 + 2217*v**2 + 2215*v\/3 + 82.\nAnswer: (v + 246)*(3*v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 173953819?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 162*q**2 - 25492*q + 25492*q to h*q + o*q**2 + i and give o.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34414 by 4.\nAnswer: 17207\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 289 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 241 - 129. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79738189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 1. Let k(f) = -3*f**2 + 2*f + 4. Let y(p) = -16*p**2 + 11*p + 22. Suppose -5*j + 4 + 51 = 0. Let u(a) = j*k(a) - 2*y(a). Calculate u(s(m)).\nAnswer: -4*m**2 + 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 - -131. Suppose 0 = 3*v + 3*j + j + l, 5*v - 5*j + 115 = 0. Let r = -12 - v. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(13) + -1) - (sqrt(117)*-2)**2 - (-3*sqrt(832) + -2)**2)*-5.\nAnswer: 450*sqrt(13) + 39830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + -4.2. Let k = y - -0.8. Let n = k - -3. Which is the nearest to n? (a) -3\/4 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 7:28 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 5*j - 49, -56*j - 95 = -10*h - 59*j for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 81 = -3*g, 2*x - 4*g = -x + 123. Let d = -33 + x. Suppose -6*w + d = -3*w. Solve l = 1 - w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100 (base 4) to base 8.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o**2 - 7*o - 4. Let l be 495\/(-6)*(-4)\/3. Suppose h - 90 = -4*h - 5*b, -5*h + 5*b = -l. What is the remainder when m(-2) is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 12:06 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiaaiiiaaia. What is prob of sequence iia?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 230*c**4 + 5549*c**3 - 5*c**2 + 40933*c + 3 wrt c.\nAnswer: 5520*c + 33294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**4\/3 - 2*z**3 + 110*z**2. Let s(r) = r - 1. What is h(t) - 10*s(t)?\nAnswer: -18*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 674, 2588, 5772, 10220, 15926, 22884, 31088?\nAnswer: 40532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**3 + 4*o**2 - 7*o + 4. Let x = -91 - -93. Let l = -1 - -4. Calculate the lowest common multiple of l and g(x).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2034 - 1\/(4\/4). Let h = -1180 + r. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 7. Let a be v(-7). Let u = 6 + -2. What is n in -2*n**4 + n + u*n**3 - n**3 + n**4 - 3*n**2 + a*n = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 226\/10 + 32\/80. Let u = -11 + f. What is the remainder when 47 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*t**4 + 4*t**4 - t**4)*(-2 + 46781*t - 46815*t + 0) + (2*t**4 - 2*t**4 + 2*t**4)*(0*t + 0*t + t).\nAnswer: -542*t**5 - 32*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeaaaee. Give prob of picking 3 a and 1 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -w - 28, 0 = -4*t - 0*t - 3*w + 46. Let s(r) = 24*r - 28. Let g be s(t). Let j = 425 - g. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 64, -2, 4, 213, 1\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -2*v**3\/3 - 2430. Let x(y) = y + 322. Calculate c(x(b)).\nAnswer: -2*b**2 - 1288*b - 207368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 9*z. Let m(o) = -9*o + 3*o + 6*o - 2*o**2. Give k(m(c)).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-460)\/23*(-46)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 36400200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - (sqrt(30) - 1*sqrt(1080)))*2)\/((sqrt(10) - (sqrt(10) + (sqrt(10) - sqrt(10)*-1*-6) + sqrt(10)))*-3).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 188?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o - 5*u, 0 = -5*u. Solve 5*l - 3*g + 9 = o, 3*g = -7*l + 2*l + 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**3 - 41*i**2 + 6*i + 13. Let x be k(8). Let g = 24 + -16. Put x, g, 5, -2 in increasing order.\nAnswer: x, -2, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4818379 divided by 1\nAnswer: 4818379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 - 565*c**2 + 558*c**2.\nAnswer: -7*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9779 and 4543.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800) - sqrt(1800)*2)\/(sqrt(864)*2).\nAnswer: -5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 6037, 0.1.\nAnswer: -0.02, 0.1, 6037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(243)*5 + sqrt(243) + 3*(sqrt(243) + 2) + (1*-1*sqrt(243) - (1 + sqrt(243) + -1))*-5)*-1)**2.\nAnswer: 432*sqrt(3) + 3924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-2*2\/(-8)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -3. Let p(j) = -j - 4. Let t be p(-4). Which is smaller: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18970*m**2 - 18970*m**2 + m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274, -181, -18, 209, 494?\nAnswer: 831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-18))**8\/((j\/(j*j*(j\/(j**(-19)\/j))\/j))\/j**(3\/14)) assuming j is positive.\nAnswer: j**(-1719\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -41*h**2 + 248*h - 13. Let f be m(6). What is the third biggest value in f, -21\/2, 28?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 20. What is n(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 1, f: 1, l: 2}. Give prob of sequence fy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1422761197 and 1573?\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 432, 460, 488, 516, 544, 572?\n\"Answer: 28*q + 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72213291?\nAnswer: 3, 31, 47, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 5:38 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 2\/9 (b) 3\/4 (c) 130 (d) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1650830 to the nearest 10000.\nAnswer: -1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -10283735.\nAnswer: 10283738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -19. Solve 0 = -4*s + s - m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 - 60.51. Let o = -0.28 - z. Let j = o - -1.14. What is j rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -101*w - 953. Calculate the remainder when r(-15) is divided by 192.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148 and 187886?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/3573 and 139\/29358.\nAnswer: 11655126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 143 = 5*g - 7, 0 = 3*g. Suppose v = n - 9. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3741 divide 171860363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + 11842*q**2 - 11842*q**2 + 15 + 7*q**3 to h*q + v + j*q**2 + z*q**3 and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488*a**2 + 980*a**2 - 491*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 6295.\nAnswer: -7\/6295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 7:17 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -29*s - 2205. Give f(-76).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + (2*sqrt(704) + 3 - sqrt(704)) + -1 + ((sqrt(704) - (sqrt(704)*-1 + sqrt(704))) + sqrt(704))*-6)**2 + 3.\nAnswer: 176*sqrt(11) + 85185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9501 = 5*a + 2096. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/176657365 and 67\/12289208?\nAnswer: 1413258920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 155201 to the power of 1\/2, to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.23, -72, -5 in descending order.\nAnswer: 0.23, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -3 (c) -8 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 796 = 9*f + 31. Suppose -15 + f = 5*u. What is the highest common factor of 70 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -130 + 43 + 36 + 27*g + 27. Is 70 a factor of w(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjnjjjjjjn. Give prob of picking 2 n and 1 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*y**3*z - 264*y**3 - 31*y**2 - 5*z wrt y.\nAnswer: 18*z - 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 1751*a**6\/40 - a**5\/30 + 156*a**3 - 36*a**2 + 47*a. What is the third derivative of o(k) wrt k?\nAnswer: 31518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**3\/3 - n**2\/2 + 3*n + 1. Let a(f) = -f. Let t be a(-5). Does 21 divide i(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*j**3*w**6 + 24*j**3*w**3 + j**3 - 240*j**2*w**2 wrt w?\nAnswer: 1080*j**3*w**3 + 144*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:41 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 254, 449, 706, 1025, 1406, 1849?\nAnswer: 2354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 12*w**3 - 41*w**2 - 5*w - 36. Let p(o) = -5*o**3 + 20*o**2 + 2*o + 19. Determine -4*c(r) - 10*p(r).\nAnswer: 2*r**3 - 36*r**2 - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + u**3 - 1 + (-1 + 2*u + 1)*(-2*u**2 + 3*u**2 + 0*u**2) - 116 + u**3 + 114 - 2*u - u in the form w + t*u**2 + h*u + j*u**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 224\/(-62720)*28*5\/(-52).\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -64*o + 2365. Let p be i(37). What is the fifth smallest value in p, -2, 0.01, 17, -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 365 (base 8) to base 4\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -q - 2*q, -x + 3*q = -1326. What is the lowest common multiple of x and 2?\nAnswer: 2682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-165))\/(1\/(-10)*-2). What is the closest to -0.3 in b, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/sqrt(490) - sqrt(55) - (-2*sqrt(6655) + sqrt(6655)))\/((1*sqrt(5760))\/((-2*sqrt(64))\/sqrt(8))).\nAnswer: -71*sqrt(11)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**4 - f**3 - 2575*f**2 + 6434 wrt f?\nAnswer: -8*f**3 - 3*f**2 - 5150*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, 3, -229, 4, 8 in ascending order.\nAnswer: -229, -6, -5, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 953*q - 758*q = 12480. Calculate the smallest common multiple of 10176 and q.\nAnswer: 10176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 23*j**2 - 40*j - 42. Let u be k(21). Suppose -o = 2*o - 4*f + 112, u = -4*o - 5*f - 139. Let s = o - -104. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001174323 rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -21, 89, 0.2, 4?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3. Let u be g(1). Let j be (-2 - u)*(-2 + 0). Which is smaller: 5\/6 or j?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152824840?\nAnswer: 2, 5, 7, 673, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 5*x + 3. Calculate the remainder when 20 is divided by l(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104474516 to the power of 1\/2, to the nearest integer?\nAnswer: 10221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x*x\/(x*x**18))\/x*x)*x)\/(x*x\/x**(3\/2)))**1)**15 assuming x is positive.\nAnswer: x**(555\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 7*i**2 + i - 8. Suppose 5*r - 2*j - 43 = 0, -3*r = -5*j - 12 - 29. Determine t(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**7\/735 + n**6\/420 + n**5\/30 - 13*n**4\/84 + 2*n**3\/7 - 10*n**2 - 1. Find c, given that b(c) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 = -7*b + 86. Let o = b - 50. What is the derivative of 5*c**3 + 7*c**4 - 16 + 7*c**4 - o*c**3 wrt c?\nAnswer: 56*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 l, and 1 k when four letters picked without replacement from {h: 1, k: 1, l: 2, g: 1, b: 1, q: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 264 = 6*q. Suppose q*s = 26*s - 60. Calculate the least common multiple of 2 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 226 and 13272302.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 134*w + 151. Let b be m(-1). Solve -b*x - 6*x = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*j - 2)*(-4 + 9 + 1 + (1 - 2 - 2)*(-1 + 2 - 3)).\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 11*z**2 - 10*z - 4. Let x = 29 - 17. Let u be v(x). Are 20 and u unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 3*n - 2. Let y be g(-2). Calculate the smallest common multiple of (y - -1)\/(1\/14) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q - 5. Let c be l(-2). Suppose 0 = -g - 2*y + 48, -3*g + y - 6*y = -139. Solve g = -c*u + 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 261849.8 years?\nAnswer: 261.8498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -362*o**2 + 344*o**2 - 2*o**3 - 5 + 0*o**3 + 16 as p + t*o + l*o**2 + m*o**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 45\/4 of a hour?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 = -5. Let o be (7\/(-2))\/(-7)*-2. Let z = -1946\/9 + 216. What is the closest to 0 in z, o, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13102\/13469 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f - 4. Let g(i) = i**2 - 7. Let u(n) = 1. Let b(w) = f*g(w) + 4*u(w). Differentiate b(d) wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**4 - 23595*m**3 + 93425*m**2 + 4131015*m - 25413850 = 0.\nAnswer: -14, 7, 11, 4715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 4*t + 7. Let s(d) = 2*d**2 + 5*d - 8. Calculate 4*p(y) + 3*s(y).\nAnswer: 2*y**2 - y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2013.676 days?\nAnswer: 173981606400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4921 is divided by 4437?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 + 64*g**2 + 22*g**4 - 19*g**4 - 11*g**2 - 54*g**2 - 294*g to the form z + k*g**2 + w*g**3 + p*g**4 + v*g and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 - 171.9. Put t, 0.3, 5, 3 in descending order.\nAnswer: 5, 3, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 0*d + d. Let n(s) = -87*s**2 + 45*s**2 + 45*s**2. Determine l(n(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -100*q - 26. What are the prime factors of m(-14)?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 6) to base 15\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*a + 328, -4*u + 3*a - 27 + 359 = 0. Let r be (12\/5)\/((-15)\/(-100)). Calculate the greatest common divisor of u and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/4*(-36)\/90.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -229492479 to the nearest 10000.\nAnswer: -229490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 + 205. Suppose 2*m + m = x. Let y = 17 + -3. What is the highest common factor of m and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11419, -2, -6, 1 in descending order.\nAnswer: 1, -2, -3, -6, -11419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (90\/25)\/(2\/(-10)). Let v be (-508)\/m + (-2)\/9. Let u = 28 - v. Solve u*q - 8 = -2*q, -q + 1 = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 12*n**2 + 14*n + 3. Let h be a(-6). Let w = h - 82. Let u = w + -52. Let x(b) = -19*b**2 - 2*b + 1. Calculate x(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**2 + 4*w**2 - 6*w**2 to the form c*w**2 + h*w + z and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/41 in 0.5, 194, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*q**3*s**2 + 100*q**3 - q**2 - 5*q*s - 3*q - 411*s**2 wrt s?\nAnswer: -26*q**3 - 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130217 (base 10) in base 9?\nAnswer: 217555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from matttcamltclmta. Give prob of picking 2 c and 1 l.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w + 3*w + w)*(w + 0*w - 8*w - 4*w + 5*w - 2*w + (3*w + 0*w - 2*w)*(2 - 4 + 4))*(-3*w**2 - w**2 + 3*w**2).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2544*g - 12 + 1934*g - 11 + 23 as t + f*g and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 62. Suppose -s - 4*s + d = 0. Suppose 4*q = -s*k + 24, k = -0*k + 5*q - 18. Solve 6*h = 8*h - k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*c - 28*c + 11467269. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 2. What is the smallest common multiple of n*22*(-1)\/3 and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjjo when four letters picked without replacement from {b: 2, j: 3, o: 3, s: 5}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -808, -9, 3, -1, 95 in decreasing order.\nAnswer: 95, 3, -1, -9, -808","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -59. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p - 15. Let j(r) = -3*r + 24. Let q(o) = -3*i(o) + 2*j(o). Give q(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 at least -15957\/167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Let x = 46 - 44. Suppose c + x*f - 11 = 12, v = -4*c + 5*f + 144. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -63 in increasing order.\nAnswer: -63, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 3 (c) -1 (d) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1000\/9 (b) -0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jzjjjjjjjjjjzjzjjjjz?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d3a39a - -3?\nAnswer: 1d3a39d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1778 - -400. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -156, 1\/6, 0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.81 times 0.04?\nAnswer: -0.2324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 169\/4 - 42. Suppose 4*u + 2 = -t, 0*u + 4*u = 3*t + 6. Let i be t\/(-4) + (-2)\/3. Which is the biggest value? (a) 7 (b) i (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41)\/((-1722)\/252))\/(5*(-255)\/(-50))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22295002 to the power of 1\/2, to the nearest integer?\nAnswer: 4722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + ((-3)\/9)\/(3 - 2). Sort b, -0.4, 26\/7 in decreasing order.\nAnswer: 26\/7, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -670 + 662. Which is the nearest to 0? (a) -2 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*33 - (12\/3 + -4). Let p = -63 - r. What is the derivative of 15*q**3 - 24 + 27*q**p - 33*q**3 wrt q?\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*h**2 - 28*h**2 + 561*h**2)*(-2*h + 2*h - h**2) - h**4 + 3*h**4 - h**4.\nAnswer: -631*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l*y**5 + l*y + 77*y**6 + 2*y**4 - 681*y**2 wrt y.\nAnswer: 60*l*y**2 + 9240*y**3 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -14*j**2 - 704*j + 30. Let i(r) = 11*r**2 + 704*r - 25. Let f(u) = 5*c(u) + 6*i(u). Factor f(h).\nAnswer: -4*h*(h - 176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000311829406 to seven dps.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jggji. What is prob of sequence gi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + -11)\/(1\/(-2)). Suppose -d*p = 70 - 1170. Calculate the smallest common multiple of 6 and p.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -630?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/12*(-32)\/(-24). Let v(c) be the second derivative of 2*c**5\/5 - c**4\/6 - 2*c**3\/3 + 2*c**2 - 3*c. What is the tens digit of v(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 0 + 22*q**3 + 6*q**2 - 3 - 4*q - 23*q**3. Let r be d(5). What is the derivative of 0 - 3 + r*i**2 + 8 wrt i?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*-2*(-2)\/6. Let l be m\/(-18) - 38\/(-9). Suppose n - 3*d = d + 8, -4*n = 3*d + 6. Solve 3*v - l*z + z = n, -6 = -v - 2*z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = h + 5*c, 0 = 11*h - 6*h - 4*c - 288. What is the greatest common divisor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 22645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425, 388, 351, 320, 301, 300?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -61*q**5\/30 + 4*q**2 - 1. Let k(f) = -f. Calculate k(y(m)).\nAnswer: 122*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.883101 micrograms?\nAnswer: 0.000007883101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 6*k - 7. Suppose 0*s = -6*s + 2070. Let o = s - 336. Determine a(o).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + -7.6. Let z = 48.6 - v. Let q = -84.7 + z. What is q rounded to 0 dps?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2. Let n(m) = -58*m + 137. Let j(o) = -107*o + 274. Let y(x) = 6*j(x) - 11*n(x). Determine c(y(b)).\nAnswer: 32*b**2 - 2192*b + 37538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*870.\nAnswer: -4350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Suppose 0 = 2*j - x - 8. Let q = -6 - -10. Solve 10 = -q*b + j*g - 2*g, 2*g = -6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -46942382?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/22 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*a + 7, k - 4*k - 15 = 0. Put 3, -1\/5, a, 5 in decreasing order.\nAnswer: 5, 3, -1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 52 = -4*w + 3*b, 32 = 2*w - 4*b. What is the second biggest value in w, 2\/31, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 515302896 to the nearest integer?\nAnswer: 22700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 25. List the prime factors of 96\/8 + -1*z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s + 3. Let m(g) = -7*g + 7. Let d(x) = 2*m(x) - 5*u(x). Let v = 8 + -6. Let r(i) = -8*i + 8. Determine v*r(z) + 14*d(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 9 - 7*l**2 + l**2 - 4 + 8*l**2 - l to the form x + j*l**2 + g*l and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2042, -3780, -5506, -7214, -8898, -10552, -12170, -13746?\n\"Answer: o**3 - 1745*o - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c**3*g - 33246931*c**3 - 86122305*c**2*g wrt g?\nAnswer: 3*c**3 - 86122305*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 40 + 5*z + 12 - 5*z.\nAnswer: -z**3 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 7*z**2 - 2*z - 1. Let h be w(-7). Suppose -8*r + h*r - 45 = 0. Sort 1, r, -2.\nAnswer: -2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35138*f + 35130*f = 5*l + 69, -3*l + 4*f = 59 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 2387415.35?\nAnswer: -2387412.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16740 - 16740 - 6*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/70)\/(((-8)\/((-48)\/(-6)))\/((-126)\/(-36)))\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -42.26 * 10.565\nAnswer: -446.4769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 117101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/480 and -13\/136.\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 4*h + 2*h)*((3 - 3 + 2*h)*(-5 + 5 - 2) - 3*h + 4*h + 2*h)*(h + h - h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2*i - 161 + 157, -20 = -5*f + 2*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7328.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 502109*k - 4016849. Calculate m(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 6 = 3*u + s, 5*u = -4*s - 17. Let c be 56\/(-14) - 1*u. Let v = c - -9. Solve 0 = w + w - v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55*-9.002\nAnswer: 495.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(((j**(-9\/5)\/j)\/j)\/j*j))\/(j*j\/(j\/j**(-5\/6))*j)*(j**(-2\/3)\/j)\/(j*j\/(j**(-12)\/j)) assuming j is positive.\nAnswer: j**(-391\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*j + 257 - 257)*(j + 60 + 202 + 177 - 49 + 209).\nAnswer: 12*j**2 + 7188*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -44959*c - 1843279. What is z(-41)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -1, -2\/5, -4, 2\/29, -3, -496?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14337 - -14364. Let f(s) = s**2 + 5*s + 4. Let h be f(-4). Suppose h = -o + 6*o - 665. What is the remainder when o is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711640881?\nAnswer: 3, 7, 71, 159097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/81 and 104\/315.\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ec2b + -46?\nAnswer: -2ec72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - (-5 + 6 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 96519369.4 - 0.5.\nAnswer: 96519368.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -2, 0, -11, -3, 2 in descending order.\nAnswer: 2, 0, -2, -3, -11, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111112 (base 3) in base 6?\nAnswer: -55235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(85) + sqrt(85)*-1)*4)\/(sqrt(40)\/(sqrt(288) + sqrt(288)*2 + sqrt(288)))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = 68. Let k(z) = z**3 + 43*z**2 + 47*z + 6250. Let f be k(-45). What is the highest common factor of w and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341 (base 6) in base 5?\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74638296 by 487832.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/7? (a) 1\/2 (b) -0.5 (c) -2\/33 (d) -12467\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -56*p**2 - 3*p. Let k(d) = -3*d - 3. Give k(m(w)).\nAnswer: 168*w**2 + 9*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 2 - (2 - 1). Solve 0 = d*j - 8 - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2474 = 42*m - 2348 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13525, 54092, 121683, 216280, 337865?\nAnswer: 486420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*s = -135 - 229, 2*s - 454 = -5*u. What is the highest common divisor of u and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 40*a - 342. Give n(10).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001165 rounded to 7 decimal places?\nAnswer: -0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 89\/(-4) + 2\/8. Let y be (c\/(-4))\/((-2)\/(-8)). Suppose -3*l = -2*j + y, -5*j + 6 = l - 15. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 31*c + 234812. Let y(k) = -k. Calculate y(x(f)).\nAnswer: -31*f - 234812","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 9*v + 10. Let s be g(-9). Let u = 8 + s. Suppose -3*w + 174 - u = 0. Is w a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -1200?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 100 = -4*o. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(121)*-2)\/(sqrt(275)*-3).\nAnswer: 4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (184 + 7*v - 184)*(149 - 36 - 46).\nAnswer: 469*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2009 and 0.07288.\nAnswer: 146.41592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-4))\/3*12. Suppose -3*g = -2*y + 36, u*y - 90 = -2*y - 2*g. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 945 and 1701?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n - 4*q + 20 = 32*n, -50*n - 4*q = -250 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5636924 is divided by 331.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 182430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.09 and 4.45.\nAnswer: 4.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 144105552?\nAnswer: 144105552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-5) - -265)*-65. Let d = -413525\/24 - j. Calculate the common denominator of -17\/44 and d.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**5\/60 + 5*f**4\/24 + 5*f**3\/6 + 2*f**2. Calculate the smallest common multiple of 4 and o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.013, -6\/17, -1\/4.\nAnswer: -6\/17, -1\/4, -0.013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -1743301?\nAnswer: -1743303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0*f**2 + 0*f**3 - 1\/25*f**6 + 0 + 1\/10*f**5 + 2*f - 1\/15*f**4. Factor k(p).\nAnswer: -2*p**2*(p - 1)*(3*p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j\/(j*j*j**(3\/10)*j)*j)\/j)\/j)\/(j\/(j*((j\/(j*j**(-1\/23)))\/j*j)\/j*j*j))*((j\/j**14)\/j)\/j**(1\/12) assuming j is positive.\nAnswer: j**(-21169\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 84*q - 1479 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -159*r - 22382. What is l(-143)?\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(3168)*3*-1)\/((2*sqrt(121)*4)\/sqrt(11)).\nAnswer: -9*sqrt(2)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -18 + (-16 - -22) + -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 0*g = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10205207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 849300 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16607 divided by 1.\nAnswer: 16607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31135878439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 143, 147, 151, 155, 159, 163?\n\"Answer: 4*a + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 - -111. Suppose h + p - 70 = 0. Suppose s - 12 = -2*b + 3*s, b - 4*s - 9 = 0. What is the highest common divisor of b and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = r - 4, 425*m - 426*m + 3*r = 23 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14828 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: Evaluate (-1 - 8) + 99 + (75 - 147).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*d**3*u - 2683899*d**3 - 177403*d*u + u wrt u?\nAnswer: -3*d**3 - 177403*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1915674, 1915679, 1915686, 1915695?\n\"Answer: j**2 + 2*j + 1915671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37779769.49999945 + -37779772. Let q = o + 2.5. What is q rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -3*l - 8 - 1, 0 = -4*l + 3*d - 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a gram in milligrams?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198444 is divided by 65837?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*c + 20 = 2*l, 2*l + 5*c - 28 = 0. Suppose 2*u - 24 = -5*h, -l*h - 55 = -4*u + 21. What is u rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k - 1. Let n(m) = -16*m + 17. Let i(j) = n(j) + 4*u(j). What is i(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {i: 1, b: 4, g: 2, s: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 54. Let z be l\/6 + (7 - 92\/3). Is 14224\/6 - z\/69 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -12022?\nAnswer: -12110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17376 plus -0.031?\nAnswer: 17375.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 1 - (63 - 65)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15866*c + c**3 + 15866*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2 - 10 + 2 - 12 - 13*n. Let d be m(2). Let f = d - -53. What is the remainder when 14 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.12, -4, -3, -8, -1 in descending order.\nAnswer: 0.2, 0.12, -1, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/(-4) + (-19)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 27*c - 3. Let n = -22 + 25. What are the prime factors of z(n)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95767?\nAnswer: 7, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6020 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -483152 (base 9) in base 8?\nAnswer: -1070267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 5*z**2 + 3*z + 8. Let d(q) = q**3 + 13*q**2 + 7*q + 11. Let n be d(-13). Let i be (-4)\/(-14) + n\/(-14). What is b(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -155 + -138 + 221?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2183 = 31*w - 7396. Solve 3*n - 306 = -w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/12 - (-117)\/36. Is (i + (-91)\/35)*115 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 + (9 - (7 + -10)) is divided by 94?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 1. Let t(a) = -5*a + 5. Let s(f) = 2*t(f) + 9*x(f). Let j(d) = -2*d**2 - 2*d - 1. Let k(g) = j(g) - 2*s(g). Differentiate k(p) with respect to p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkknnkkkkkk. What is prob of sequence nkn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3314.\nAnswer: 2, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/((l**(-1\/13)*l)\/l)))\/l)\/l*l*l*l*l*l\/(l\/(l\/(l*l**(-1)))))\/((l**0*l)\/l*l*l**(-2\/5)) assuming l is positive.\nAnswer: l**(151\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/27 - (-35550)\/(-95985).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*b - 30 = -134*b. Calculate the least common multiple of 36 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0066494 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)\/s*s**(2\/9))**(41\/4)*(((s\/(s*s*s\/s**2))\/s)\/s)\/(s*s**(-1\/8))*s**(-2)\/((s*s\/s**(5\/2))\/s) assuming s is positive.\nAnswer: s**(-3769\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015391326 to six dps.\nAnswer: -0.000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**3 + 0*f**3 - 5*f**3 + 20*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -10*g - 145. Give c(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -19*p + 336. Is 12 a factor of g(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/6, -2\/5, -5, 5\/21, 5?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and -7758575440866.\nAnswer: -7758575440860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2960 and 10064?\nAnswer: 50320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/4)\/((-7)\/14). Let a = -3 - m. Let s = a - 0. Is s bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3302867, 13211376, 29725557, 52845410, 82570935, 118902132?\nAnswer: 161839001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -13, -3\/7, -4, 7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26486065 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -50838, 2, -43 in descending order.\nAnswer: 2, -43, -50838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8858977631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**4\/4 - 3*m**3 - 9*m**2\/2 - 5*m + 52. Give b(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21952)\/(-728) + (-108)\/26 + 4. Put 0, l, -67 in descending order.\nAnswer: l, 0, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10304.61146 rounded to the nearest 10?\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*v**4 - 9488*a**2*v**3 + 62172*a**2*v wrt v?\nAnswer: 24*a**2*v**2 - 56928*a**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6936 + -11.\nAnswer: -11.6936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1313003 (base 4) to base 11.\nAnswer: 57a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 4*g**2 - g + 1. Let o be p(-4). Suppose 6*n - 22*n + 1460 = 1412. Solve -2*u + o = -n*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 15*y + 30. Give l(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -3 (c) -1 (d) -141385\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2487926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 3, v: 1, r: 5, k: 6, c: 3}. What is prob of picking 1 c and 1 v?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 224 + -161. Calculate the least common multiple of z and 203.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7828 divided by 103.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b735 (base 12) in base 4?\nAnswer: 302131121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*x - i, 5*x + 7*i + 6 = 3*i. Sort -5, 85, x, 4 in ascending order.\nAnswer: -5, x, 4, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20320 and 193090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 115046856.\nAnswer: 115046856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-12))\/(942\/90432)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*j**2*x**3 + 2*j**2*x + j*l**2*r*x**3 + 6*j*l**2 + j*x**2 + 4*l*r*x**2 + 2*l*r*x + r*x**3 wrt x?\nAnswer: 180*j**2 + 6*j*l**2*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 7) to base 5.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/15 + 1846*y**2\/15 - 2*y\/15 - 1846\/15 = 0. Calculate y.\nAnswer: -923, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -12. Let g be 39 - 3\/((-6)\/2). Solve 5*v = -c*x + 3*x + g, -4*x - 2*v + 28 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1636420?\nAnswer: 2, 5, 17, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + 133?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 0, -15 = -9*n + 14*n - 5*o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2023*m**3 + 3063*m**3 - 1037*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 4:28 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 96*s + 432.\nAnswer: 4*(s + 6)*(s + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 7*h + h + 1. Let r be k(-2). What is the greatest common divisor of 45 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 37873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70*a**2 - 62 - 335*a**3 - a**4 + 63 + 337*a**3 + (-a**3 + 1 - 1)*(-2*a + 0*a + 3*a).\nAnswer: -2*a**4 + 2*a**3 - 70*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*w + 14*w - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 1\/2*u**2 - 3 + 0*u. Let v(n) = -3*n**2. Calculate v(c(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1971706 divided by -4717\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.053 or 4617\/10?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*g, 5*g - 12 = 5*m - 42. Suppose 0*o + 3 = m*o. Let b = 21 - 21. Sort o, -4, b in decreasing order.\nAnswer: o, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*0.4\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2) - (-54 + 49). Solve 0*v - o*u - 9 = -v, 2*v - u = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(252) + 2 - sqrt(252) - (0 + sqrt(252))*6.\nAnswer: -36*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 32.5. Let k = -0.5 - o. Let y = -2 + 2.3. Which is the second smallest value? (a) y (b) 2\/15 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**2 + 117*o - 582. Determine d(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*p = 18. Suppose -p*s - 2*k + 61 = 0, -4*k - 3 = 1. Suppose s*a + 2348 = 25*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -4 + -49 + 8 + 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*d + 3. Let c(n) = -n - 5 - d - 3 + 1. Let v(t) be the first derivative of 3*t - 31. Calculate 2*c(u) + 7*v(u).\nAnswer: -2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - s = -2*u - 8, 8 = 4*u + 4*s. Let h(p) be the first derivative of 1\/9*p**u - 1\/3*p**2 + 1\/3*p - 2. Let h(t) = 0. Calculate t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 2*v + 1 - 8 - 3. What is the tens digit of w(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7951366 decades to centuries.\nAnswer: 0.07951366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21318 and 2508?\nAnswer: 42636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*x**3 + 2*x - 33*x**3 - 2*x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -170?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7220 divided by -1?\nAnswer: -7220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95.9 + 97.5. Let y = -7 - -3. What is the smallest value in y, d, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*s + 8095 = -11*s + 11455 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-50)\/(-114) - (186\/(-38) - (21 - 26)). What is the third smallest value in 2, -1105, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134791 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, t: 2}. Give prob of sequence tft.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((13 - (-1 - 0)) + -6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 684609.7g in kilograms?\nAnswer: 684.6097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(1 - (-1)\/2). Suppose t*r - 8 = 4*r + 4*p, -5*r + 16 = -2*p. Suppose -r*u - 1065841 - 794159 = 0. Round u to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104329 and 289?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o - 6*o + 8*o + 15*o**6 + 7*o**2 wrt o?\nAnswer: 1800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**4\/24 + k**3\/6 + 18*k**2. Let r(c) = 8. Let i(b) = -3*l(b) + r(b). Suppose -6*n + 2*n = 3*s - 14, 0 = -3*n - 3. Give i(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/(-48))\/((-2)\/(-4)). Let o = 67\/14 - 9\/2. What is the closest to m in -2\/5, 5, o?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 7*t + 17. Let y be f(7). Suppose y = 4*z + x, -4*x = -z + x + 20. Solve 5*w - 3*v + 10 = 0, -z*w - v = -0*v + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -356089 + 356088.9300019. Let l = i + 0.07. Round l to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*p + 208*p + 23*p = -195*p - 10846 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27630 - -42554. List the prime factors of v.\nAnswer: 2, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37.2562 + 370.3134. Let f = 333 - s. Round f to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p - 8. Let f = -2 + 4. Suppose -f*m + 141 = m. What is the remainder when m is divided by n(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -142 - -291\/2. Let o = -97 + 57. Let i = 39.7 + o. Put i, y, -0.5 in descending order.\nAnswer: y, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 9*o**2 + 7. Let t be g(5). Let k = 115 + t. Suppose -k*x = -27*x - 30. What is the biggest value in 0, -2\/19, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3521 + -3519. Let k = -622 + 6822\/11. Let d = -49\/33 - k. Which is the biggest value? (a) 1\/8 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -3*c + 11972 - 11935, -3*c + 297 = 48*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 915 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 637? (a) -0.5 (b) 1\/2 (c) -1\/12 (d) -54 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i + 3. Let p(f) = -13*f + 5. Let x(t) = p(t) - 2*z(t). Let q(b) = 7*b + 4. Let d(n) = 6*n + 5. Let a(h) = -3*d(h) + 4*q(h). Give -5*a(k) - 6*x(k).\nAnswer: 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -1\/3, 2\/3, -0.4, -1\/32, 0.1, -62?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 498 + 10. Find the second derivative of -m*h**3 + 3*h - 5*h**2 + h**4 + 4 + 61*h**3 + 0*h wrt h.\nAnswer: 12*h**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614.51 centuries to months.\nAnswer: 737412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l**3 + 3*l**2 - 3*l - 2. Let j be u(-3). Let m = 10026 - 10013. Calculate the greatest common divisor of m and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 23*x**2 + 8*x**2 + 17 - 8*x**2 to n + t*x**2 + b*x and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 0.1, 1\/4, 52 in decreasing order.\nAnswer: 52, 1\/4, 0.1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -61702, 0.067, -3\/5?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 34 = -2*d, 35*k = 4*d + 38*k - 88. Let g = -69 + 125. What is the remainder when g is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9107711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acxaarcwxaaacyaaya. What is prob of picking 1 r and 1 c?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-4) - (-1053)\/52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 0.1425819.\nAnswer: 0.5425819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -15*f + 55*f - 17*f - 18*f. Let k(m) be the first derivative of 2*m**3\/3 - 6. Determine r(k(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/26 and -32\/91.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 132625160 rounded to the nearest 100000?\nAnswer: 132600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79396795, -79396793, -79396791, -79396789, -79396787?\nAnswer: -79396785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-16 + -2) - ((-23 - -7) + 20 + -14)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13129873 is divided by 334?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 a factor of 460704172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6707.\nAnswer: 19, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/(-3 - -1) - (3 - 3). Let j = s - -10. Suppose 6*m - 3*m = 0. Sort -2, m, j in descending order.\nAnswer: m, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 20 = 3*h, 20 = 2*d + 3*h. Find i, given that -3*i**2 + 4*i + 6*i**2 - 3*i + i**d + 3*i**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -88*y - 90*y + 245*y - 68*y. Let k(c) = -22*c + 17. Let z(r) = 7*r - 6. Let u(w) = 6*k(w) + 17*z(w). Give m(u(x)).\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -27722, -94, 4 in descending order.\nAnswer: 4, -94, -27722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12 = -0. Suppose -1740 = -r*s + 8*s + 5*p, -4*p = s - 414. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2738*h**2\/21 + 29600*h\/21 - 80000\/21 = 0. What is h?\nAnswer: 200\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 322547167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t + 6*t. Let q(s) = t + 4*s - 5 + 7*s. Is q(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -36, 0.5, -2245.5, -1?\nAnswer: -2245.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 8*b. Let t be (-7 - 1\/1)\/1. What is j(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 93, 100, 93, 66, 13?\n\"Answer: -o**3 - o**2 + 17*o + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 + 9*m + 24. Let h be k(6). Solve -3*i - h = 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 963243521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**4\/12 + x**2\/6 + 4. Suppose q(d) = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(((-522)\/(-696))\/(2\/(-12)))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**3*y**(-10)\/y*y assuming y is positive.\nAnswer: y**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 5:53 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 4*x - 147, -3*p + 3*x - x = -147. List the prime factors of p\/2 - (-3)\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4 + 3*k**3 + 3)*(-4*k + 6*k - k) in the form m*k + c + q*k**2 + h*k**4 + o*k**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.6198 * -2\nAnswer: -1.2396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 - m + m - 3*m**2 + m**2 + 4*m**2 + (-2*m**2 - 2*m**2 + 2*m**2)*(3 - 1 - 4) + m**2 + m**2 - 3*m**2 + m**2 + 0*m**2 - 2*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8425128 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 5*b**4\/12 - 5*b**3\/2 - 14*b**2. Is q(3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/24*(-1)\/((-1665)\/(-60))?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2. Let c(v) = 15*v - 2. Let t = -41 + 38. Let f(u) = 15*u - 3. Let i(a) = t*c(a) + 2*f(a). Calculate i(h(l)).\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -16884564.\nAnswer: -50653692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -7603.2 and 0.195.\nAnswer: -7603.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8*h)\/(h*h*(h*h**8)\/h)*h**(-2)*h**(1\/2) assuming h is positive.\nAnswer: h**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 13*x + 11*x - 30 = 0, -4*z + 4*x + 4 = 0. Sort z, -3, 7.\nAnswer: z, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1725\/175)\/23)\/(8*36\/(-192))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (0 - -4 - 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 13. Let t = u - -11. Sort 1, t, 3 in increasing order.\nAnswer: t, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/(-10) - (8897\/21)\/31.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4732 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7301351 (base 8) to base 10\nAnswer: -1934057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, s: 2, p: 4}. What is prob of picking 1 s and 2 p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -73, -155, -245, -343, -449, -563, -685?\n\"Answer: -4*o**2 - 70*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - p - 4. Let c(w) = -3*w. Let b be c(-1). Let d be l(b). Suppose 3*n + 4 = 2*f + n, 3*n + 7 = 4*f. Put d, f, -5 in decreasing order.\nAnswer: d, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8919 + 17831 + 58*t**4 - 8915 + 3*t to u*t**2 + d*t + a + g*t**3 + j*t**4 and give j.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l - 3 + 1 + 7 - l. Let w be (-18)\/(-8) + -2 + 42\/24. Let c be w + 17\/(-2) + 12\/8. What is b(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 0*d - 4*d - 9*d**2 + 4 - 1. Let f be p(6). Let r be (6\/f)\/(1\/(-5)). Which is the smallest value? (a) r (b) -3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 25*i**3 + i**2 + 29*i + 19. Let w(r) = 6*r**3 + 7*r + 5. Let z(g) = -2*u(g) + 9*w(g). Let l(o) = 2*o**3 - o**2 + 2*o + 3. What is 7*l(h) - 3*z(h)?\nAnswer: 2*h**3 - h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263773313.\nAnswer: 2377, 110969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 n when four letters picked without replacement from {n: 1, f: 6, u: 5, w: 1, c: 1}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8b7 (base 15) to base 16.\nAnswer: -7b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*3\/(-72)*-21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(o**(-15)*o)\/o*o*o**5*o*(o\/(o*(o*o**4)\/o)*o)**(1\/9) assuming o is positive.\nAnswer: o**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 24. Suppose k - m = 4*v, 18 = 5*k + 4*v - 2. Suppose 2*s = t - 8, -18 - 4 = 3*s - k*t. Let c(w) = 2*w. Determine c(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.1 + 2.3. Let r = t + 2. What is the nearest to 2\/7 in r, 3, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o - 2*o - 2*o + 2*o + 0*o - 3*o - o - 4*o + 3*o + (0 + 2 + 0)*(-2*o + o - o) - 2*o - 2*o + 3*o + 4*o + 5*o - 6*o + (o - o - o)*(-3 - 2 + 3).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6\/7))**(9\/8)*(d**(-1\/7)\/d)**(-17\/4))**(-42) assuming d is positive.\nAnswer: d**(-327\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3664 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -n + 4. Let r be (14\/n)\/(0 - -2). What is the closest to r in -0.2, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 4*d**2 + 4*d. Let q be s(-3). Let n(m) = -m**2 + 2*m - 7. Let l be n(4). Is 12 a factor of 56*(q - l\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, z: 3}. Give prob of picking 2 z.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 - 18*l - 30. Let o be b(17). Suppose -369 = -6*r + o. What is the remainder when r is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 > 74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5229622, 5229646, 5229670?\n\"Answer: 24*t + 5229598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2837733?\nAnswer: 3, 41, 23071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. Suppose -y - c + 4 = 0. What is the smallest value in y, 0.3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17656 is divided by 4720.\nAnswer: 3496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4905 is divided by 214.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 28 = -26*t + 118, -t + 46 = u - 4*u + u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -47965*f + 705. Let w be v(5). What is w rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15978481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. Let j(v) = v + 4. Let m be j(-4). Suppose m = 2*u - 35 + p. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1016)\/16002*18\/24?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 0*a + 4*l + 2*l = 5*a - 10*a - 30, 0 = -7*l - 21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*w + 535575 = 161*w. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6064151896?\nAnswer: 2, 11, 241, 285937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 800 = -25997*m + 26157*m. Let w = 0 + -0.2. Which is the third smallest value? (a) 0.2 (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0813809 rounded to 3 decimal places?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 31. Let k be ((0 - 2) + 42)\/(g\/1). Suppose -k*x = -42*x + 358. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-1) + (-1)\/((-12)\/39). Solve 1\/4*o**2 + t - 1\/2*o = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17514227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4818 divided by 219\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20, -31, -118, -241, -400, -595, -826?\n\"Answer: -18*j**2 + 3*j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 3*x - 3. Let r be d(4). Let g(a) = -4*a**2 + 7 + 12*a**3 - 2 + 2*a + 2*a**2 - 6. What are the prime factors of g(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j. Let v(z) = -2*z**2 + z - 2. Let f(b) = 388*b**2 - 16*b + 32. Let a(o) = f(o) + 16*v(o). Give s(a(c)).\nAnswer: 712*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a**2. Let v be p(-1). Sort 1, 4, v, 0.\nAnswer: v, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -893144, -1786288, -2679432?\nAnswer: -3572576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5 + 5. Suppose 0*h - 10 = -n*h. Suppose -92 + 23 = -3*o + 3*u, -h*u + 17 = o. Is 24 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + 0)\/((-413)\/(-118)) + 3.\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 19590 = m, 0 = -3*q - 10*m + 13*m + 19602. What are the prime factors of q?\nAnswer: 3, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56732 + -56732.066887. What is d rounded to three decimal places?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 197, 276, 335, 368, 369, 332?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -86750, -173389, -260028, -346667, -433306, -519945?\n\"Answer: -86639*z - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 600216 (base 8) to base 3\nAnswer: 100222220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/1*10\/(-15). Put -2, a, 4 in decreasing order.\nAnswer: 4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 2021879847.12.\nAnswer: -2021879847.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 35 = 3*o - 6*h, -4*o = -h - 24. Suppose -3*a = -2*x, -a = -6*a - 5*x. Sort o, a, 1.\nAnswer: a, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3691, 1, -4, 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -2 - 2) + (5 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 28 = 10*p. Let w(u) = -u**2 + 7*u + 8. Let a be w(6). Let r = a - 7. Calculate the smallest common multiple of p and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1235.2 + -1140. Let n = d + -95. Let y = 0.2 - 0.6. Which is the nearest to -2? (a) 2 (b) n (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/12*1*6\/(-8).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 - -152. What is the remainder when b is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 6*m**2. Let n be s(-6). Suppose n*w + w - 5 = 0. Suppose -w*u + 2 = 5*k - 28, 12 = 2*u - k. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11*(-8)\/6*18\/(-12). Let x = -7 - i. Solve -4*v + v = -x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33 and 0.134.\nAnswer: 4.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1677, 1670, 1657, 1638, 1613?\nAnswer: 1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -744*v**3 - 4*v**2 + 4*v - 321. Let y(h) = 746*h**3 + 5*h**2 - 5*h + 317. Let q(k) = -4*y(k) - 5*z(k). Find the first derivative of q(g) wrt g.\nAnswer: 2208*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -279 + 4773\/17. Let d = c - 3025\/1088. Calculate the common denominator of 27\/32 and d.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6238 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/5)\/((-20)\/50). Suppose 5*d + 55 - 6 = 4*h, -o*d - 20 = 0. Let a be 3\/(2\/16*h). Solve 0 = a*q - 4*k, -2*q = -q - 4*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(475))**2 - sqrt(475))*2 + 3.\nAnswer: -10*sqrt(19) + 15203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -10, -7, -3, 40 in decreasing order.\nAnswer: 40, 5, 0, -3, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4033230420 (base 5) to base 8.\nAnswer: -36720141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/107156250 and 137\/42862500?\nAnswer: 214312500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 10:22 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 161\/6, -1, 7, 2\/23, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 50492468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**3 - t**2 + 2. Suppose -4*i + 11*r = 8*r - 14, 3*r + 18 = 0. Let v(y) be the first derivative of y**3\/3 - y + 5. Calculate i*b(m) - v(m).\nAnswer: 5*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3063652 divided by -43\nAnswer: 3063652\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l + 9. Let g(f) = f + 3. Let b(m) = -2*m - 8. Let q(d) = -b(d) - 3*g(d). What is -22*q(c) - 2*y(c)?\nAnswer: 4*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1276 and 36.\nAnswer: 11484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/192*18\/30\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 7*k**2 - 5*k + 34. Let m be z(-9). Let t = m - -85. Let w be ((-2)\/2)\/((-3)\/9). Solve -t*g = -w*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3521 - 1?\nAnswer: 3520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -47, 5, -1.2, -3, -112, -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 3 - 2*m**2 + 16*m**2 - 16*m**2 - 4.\nAnswer: -2*m**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 10*s - 12. Let d be j(-8). Suppose -d*u - u + 20 = 0. Suppose u*x = 5*i - 334, 0 = -4*x + 17 - 1. What are the prime factors of i?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5040) - 4*sqrt(5040) - (sqrt(875)*5 + sqrt(35)))\/(-4*(sqrt(7) + (sqrt(42)*1)\/sqrt(6) - (sqrt(567) - (sqrt(567) - (sqrt(567) - sqrt(567)*2))))).\nAnswer: 31*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 + 14*x - 6. Let z be s(4). Let r be 0 - (0 - z) - 7\/21. Let y = -9\/5 - -2. What is the closest to y in r, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 15*t**2 - 17*t - 4. Let n be p(-16). Let s be 0 + 1 - 4\/(-2). Solve 0 = 3*y - s - n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122791 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5 + 5*x**4 + 4*x**3 - 20*x**2.\nAnswer: -x**2*(x - 5)*(x - 2)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**4 - 2 - 5*p**3 + 2*p**4 + 5 as c*p**4 + d*p + u*p**2 + b + a*p**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 166133 at least as big as 166142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/3 - 18584*z\/3 + 37184\/3.\nAnswer: -4*(z - 2)*(z + 4648)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 345300 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 12. Suppose 8*j + 131 = 3*j - 3*s, -3*j = 3*s + 81. Let d be j*(-5)\/(-10)*2. Let w = d + 32. Calculate l(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**3 - 147120*w**2 - 441339*w - 294222 = 0 for w.\nAnswer: -49037, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 895*q + 1. Let c be a(6). Suppose -3*g + 9*u - c = 4*u, 3*g = -3*u - 5403. Is g\/(-1) - ((-16)\/(-2))\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19767 (base 15) to base 11\nAnswer: 57127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*b = -173*b + 8, 2*b = -2*q + 4. Let c = 9 - -26. Solve 5*k = c - q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -1.2. Let p = h - 0.5. Sort p, 1, 2 in decreasing order.\nAnswer: 2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6741)\/6)\/7*(-4074)\/(-6111)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/10 - 7*(-52)\/(-455). Which is the smallest value? (a) i (b) -0.7 (c) -3\/16 (d) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 552, 0.09, 8, -3\/8 in descending order.\nAnswer: 552, 8, 0.09, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 - 28*o**2 - 26*o + 5. Let h be x(-13). Let t(n) = n**3 - n**2 - 3*n + 2. Let j be t(2). Solve -24 = h*v + 5*l - 4*l, j = -2*l - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 577*k - 1149. Calculate l(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*r + 23*r**2 + 40*r**2 - 13 - 67*r to the form u*r**2 + g + q*r and give u.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = i + 10, -4 = 4*i + 70*h - 73*h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -444672*b**3 - 3*b**2 - 2717017*b wrt b.\nAnswer: -2668032*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + f - 3*f - 1)*(-1 + 0 + 2)*(3 - 2 - 3).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-2 + 2 - 5). Suppose 87 = 2*j + 3*q, -h*q + 3 = -4*q. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*d**2 - 96*d**2 - 147*d**2 - 101*d**2.\nAnswer: -251*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 - 5*a**4 + 3*a**4 + (-15 - 119 + 16)*(a**4 + 0*a**4 - 3*a**4).\nAnswer: 235*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(77)*-4)\/(sqrt(7) + -1*sqrt(343)) + (sqrt(11) - (-1*sqrt(110))\/sqrt(10))*-5 + (-6*(sqrt(891) + 0) - sqrt(891)))**2.\nAnswer: 61875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140754 (base 8) to base 11.\nAnswer: 34331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -197, -1583, -5335, -12629, -24641, -42547, -67523?\n\"Answer: -196*a**3 - 7*a**2 + 7*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*i - 5. Suppose j = -f - 5, -2*f - i*j + 4*j = 25. What is the tens digit of (-96)\/f + 4\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205974 divided by -11443.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 2. Let j(s) = -s**3 - 7*s**2 + 3*s + 9. Let t be j(-8). Let r be 0 + -4 + 203\/t. What is the nearest to 1 in 4\/5, u, r?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14080, -14084, -14094, -14110, -14132?\n\"Answer: -3*h**2 + 5*h - 14082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -238770\nAnswer: 1\/47754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-69*g + 7*g**3 + 69*g)*(-2 - 4*g + 2 + 4*g + g - g + 0*g + 3*g - 2*g + (-2 + 4 + 0)*(0*g - 2*g + g)) as u*g + n + d*g**2 + k*g**4 + q*g**3 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + -4 + (3 + -1*sqrt(108) + -4 + 1*sqrt(147))**2*-5.\nAnswer: -26 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*j = 149182 - 130272 for j.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/16*2)\/(11\/2)*774612\/322755?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.072784074058 + 248.\nAnswer: 247.927215925942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2934*d - 20500. Determine f(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127596025.\nAnswer: 5, 1979, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (sqrt(70) - 1*sqrt(70))*5 - 3*(2*sqrt(70) + sqrt(70)))\/((sqrt(20)\/sqrt(2)*-6 - sqrt(10)) + -2*sqrt(250)).\nAnswer: 8*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19)\/(-44) + 4\/(-22). Let u be (-11 - -14) + (1 - 3). Which is the closest to u? (a) -2\/17 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2580136417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**6\/480 + w**5\/240 - w**4\/96 - w**3\/24 + 19*w**2. What is q in c(q) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363 is divided by 515?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 299367314 a multiple of 5933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -10*(237\/(-15))\/(4\/10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315 and 248073?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 556364745 by 1670765.\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/184 - -2203\/920. Which is greater: 3 or x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 18135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q + 6. Let v be w(-6). Calculate the remainder when 51 is divided by (-50)\/(-4) + (-6)\/v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**3\/3 - 3*t**2 + 4*t + 9. Let k be c(5). Sort -2, k, 4 in decreasing order.\nAnswer: 4, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64814 divided by 2\nAnswer: -32407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 190?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 8*r - 8. Let w be d(5). Suppose -w*v = -3*v - 44. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 3\/5*t**3 + t**4 + 0 - 102\/5*t**2 = 0 for t.\nAnswer: -5, 0, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (160*v + 200*v - 118*v)*(-3 - 2 + 4) + (-3 + 2 + 0)*(-v + 5*v - 2*v).\nAnswer: -244*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71076 by -2.\nAnswer: 35538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -3*x, 5*q + 298 = -2*x. Let w = -34 - q. Let r = w - 17. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*z + 11. Suppose b + 2 = 8. What is the third derivative of a**2 + a**6 - z*a**b + a**2 wrt a?\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/60)\/(126\/(-105))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 1 - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 73?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**2 - y**3 + 2*y**4 + 8*y**2 - 10*y**2 + y - 15 to the form c*y**3 + k*y**4 + h*y + i*y**2 + o and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 259*y - 260*y + 1607, 0 = -5*y - 2*s + 7916. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.801 - -4.901. Suppose -3*p = 5*b - 5*p - 18, 0 = -5*b - 2*p + 2. Let u = 6 - b. What is the closest to w in 0.1, u, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9180381*c**2*m**2*r + 5*c**2*m**2 + 29*c*m**2*r + c*m*r - c - 154610*r + 1 wrt c?\nAnswer: 18360762*m**2*r + 10*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, y: 3, d: 10, h: 3}. What is prob of sequence hhyg?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.99999602 - -5. Round b to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/5985 and 27\/5320.\nAnswer: 47880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*a - 5*y, 4*a + 5*y - 90 = -a. Solve a*q = -240 + 163 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*x = -2*z + 142*x + 32, -5*z + 5*x + 65 = 0. Let o(u) = -u**3 - 5*u**2 - 5*u + 9. Let i be o(-9). Calculate the greatest common divisor of i and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 844 is divided by 250.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/3)\/s)**(-4\/3))**(-6) assuming s is positive.\nAnswer: s**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11795826 and 1932?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -21*p. Suppose -3*v + 7*v = -2*y + 6, -3*v + 5 = y. Let q(w) = -1. Let h(o) = o - 1. Let d(r) = h(r) - q(r). What is y*c(k) - 18*d(k)?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334615315508928*b**2 + 316835280*b - 75 = 0. What is b?\nAnswer: 5\/10561176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2069 divided by -49423\nAnswer: -2069\/49423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 10*f + 6. Let z be d(10). Calculate the highest common factor of z and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2235\/(-4172)*(-20)\/15.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5 = l, 5*l + 140 = 3*f. Let m = f - 40. Suppose -2*q + 240 = 5*i, -m*i - 2*q + 245 = q. Is 23 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1360 and 124670520?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.9999956 + -28. What is m rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5*-4*4\/16)\/(6 + -4). What is the fifth smallest value in 0.1, -5, i, 2\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -20. Suppose -k*s + 16 = -10*s. Is -7*((-9 - -9) + -1 + s) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1943, 8326, 19147, 34406, 54103, 78238?\n\"Answer: 2219*l**2 - 274*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9266 - -9271. Which is the third smallest value? (a) n (b) -4 (c) -25 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 1301*a + 38 + 159*a.\nAnswer: -1142*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 1 - 19. Suppose 0 - z = 2*k. What is the lowest common multiple of 11 and -3 + k + 21 + -3?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15760779?\nAnswer: 3, 37, 107, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/2*c**2 + 3 + 3\/2*c = 0. Calculate c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414789 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 2:35 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/10)*y**(-1\/30)*(y*y**(-11)*y)\/((y\/(y**8\/y))\/y) assuming y is positive.\nAnswer: y**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**2*t**3 + 338*i**2*t + 1197*i*t**3 - 79*i*t**2 - 142*t**3 wrt t?\nAnswer: -12*i**2 + 7182*i - 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 4)*(-5*d + d + 0*d) as x + k*d and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (0 + 1 - -2). Let i be k\/15 - 242\/(-10). Suppose -3*d = 3*o - 69, -o + 95 = -3*d + 7*d. What is the highest common divisor of i and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 4 = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413474009?\nAnswer: 13, 31805693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023775739 rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 3*m. Let p = -808 - -803. Which is the closest to m? (a) 3 (b) p (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/26*-2*11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, 1.6 in decreasing order.\nAnswer: 1.6, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + o**2 - 8*o + 5. Determine x(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0526087436 - 0.59.\nAnswer: -0.5373912564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2740, 44, -3.2, 1\/5?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3410034 divided by 1401\nAnswer: -2434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - -7. Let c(p) = -p**3 + 26*p**2 + 8. Let h be c(w). Suppose -2*g + 68 = y, -7*g = -3*g + h. Calculate the remainder when y is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133316 * -38.\nAnswer: 5066008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/509 - 25911\/8144. Calculate the common denominator of v and -143\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 5*s + s**2)*(-6*s - 27*s + 19*s - 2).\nAnswer: -14*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8\/(b*b**(-2\/3)))\/(b**(1\/4)\/b)**(-10) assuming b is positive.\nAnswer: b**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 184976444, 184976445, 184976454, 184976477, 184976520, 184976589, 184976690?\n\"Answer: h**3 - 2*h**2 + 184976445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53650*v + 6 = 5*w - 53653*v, w - 6 = 3*v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 143274 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: Calculate -4 + -2 - -9 - -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 460884\/8671 + -1542\/29. Which is bigger: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -512034167320318 and 1.\nAnswer: -512034167320317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 110*s - 5992. Calculate u(-160).\nAnswer: 2008","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 185651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 11:49 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 213871 and 52712.\nAnswer: 266583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -1. Let f(d) = 37*d - 185. Let p(x) = f(x) - 185*h(x). Let t be p(2). Calculate the remainder when (-4 - -5)*4 + t is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -66*f. Is t(-1) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 422442.\nAnswer: -2\/211221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 2*q + 1. Let j be k(3). Let o = 863 - 840. Suppose -o*d + 1022 = -j*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 2*c + 0*c + (29 - 101 - 123)*(-3*c + 0*c - 2*c).\nAnswer: 977*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 182936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4792 less than -4560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y. Let n(r) = 4*r**2 + 649. Determine n(l(p)).\nAnswer: 16*p**2 + 649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -17.6 greater than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7062131, 7062124, 7062105, 7062068, 7062007, 7061916?\n\"Answer: -p**3 + 7062132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 40. Let t(v) = -v**3 - 32*v**2 - 105*v - 517. Let n be t(-29). Factor 0*d + 2\/17*d**n + 0*d**2 + 18\/17*d**3 + 12\/17*d**q + 0.\nAnswer: 2*d**3*(d + 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {w: 1, d: 1, b: 1, q: 1, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5671*b + 5668*b = 29, 3*x + 101 = -0*x + 5*b for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 i when three letters picked without replacement from {y: 4, i: 1, f: 5}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 952.482?\nAnswer: -380.9928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -667 = 11*i - 34*i. Solve 13*v - i = 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-9))\/(10\/1440). What is the highest common divisor of x and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -21. Let m = 65 - g. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 55.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 4*c**3\/3 + c**2\/2 - c - 3. Let v be x(1). Let m = 24 - v. Solve -m = 5*y - 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121146 - 104057 = 20*q - 402751. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 1)\/(8 + (-2308)\/288). Suppose z*j + 12881 = 83*j. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18539 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21105 and 45?\nAnswer: 21105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(2904) + -1*sqrt(2400))\/(6*(sqrt(800) + (sqrt(800)*-4*5 - sqrt(800)))).\nAnswer: 13*sqrt(3)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*k + 5*k + 70*k - 86 + 84 as v + y*k and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 172\/16*((-150)\/(-300))\/((-1)\/(-8))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10800 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 575628424 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: What comes next: -27, -99, -217, -381?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10))\/(-1) - (0 + 1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 116 + 119 + 6*f**2 + 128 - 374. Let i(a) = -2*a**2. Determine j(i(k)).\nAnswer: 24*k**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -47. Let o = h - 1.999822. What is o rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30583 - 2084485.\nAnswer: -2115068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52331 - 26739*h + 104656 - 52325 to n + g*h and give g.\nAnswer: -26739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4088075?\nAnswer: 5, 17, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*t - 3346 = -158, -3*h - t = -1924. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 23. Calculate c(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.9 + -0.1. Let r = 10 + -6. Put r, s, 3\/5 in decreasing order.\nAnswer: r, 3\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93564 and 2101188.\nAnswer: 712302732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 605.46 * -6\nAnswer: -3632.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, q: 10, r: 3, l: 4}. Give prob of picking 1 r and 1 q.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j = -570. Suppose -3*r + j = -591. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50340121 (base 6) to base 12.\nAnswer: -58a641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -208544, -4, -5 in decreasing order.\nAnswer: 3, -4, -5, -208544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(1216)*-2)**2 - sqrt(1216) - (sqrt(76) + -1 - 1*(1 + sqrt(19))))*2.\nAnswer: -18*sqrt(19) + 350212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.035, 3\/5, 0.03, -75, 5?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*j + 2*j**2 + 5 - 46*j)*(-1 + 4 - 5) - 4 + j**2 + 4.\nAnswer: -3*j**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/299 - 608\/1495. Sort -0.2, l, 1\/5, 4 in descending order.\nAnswer: 4, 1\/5, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 20. Let k = b - -149\/7. Suppose -4*i + u = -0*i - 11, 0 = 4*u - 4. What is the nearest to 0 in -1\/11, i, k?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 8*b - 5. Let w(v) = -2*v**2 + 16*v + 10. Let f(u) = 5*i(u) + 3*w(u). What is f(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 4. Suppose -15 = -2*k - 5. Let d be r(k). Let n be ((-1)\/(-1))\/((-3)\/(-3)). What is the biggest value in d, n, 1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8824 (base 10) to base 6.\nAnswer: 104504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2801 - 2760 - (1 + 0 + 5) - -1?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026831 rounded to four dps?\nAnswer: -0.0268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -1543\/140. Find the common denominator of 79\/63 and x.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -678*l + 1783*l + 21476 + 3614*l - 21476 as a + s*l and give s.\nAnswer: 4719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74645502 and 1258.\nAnswer: 1268973534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321130 (base 4) to base 10.\nAnswer: 3676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 3935?\nAnswer: 15740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 31*y**2. Let c(h) = -h - 169. Calculate g(c(o)).\nAnswer: 31*o**2 + 10478*o + 885391","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10)*2\/(-5)*(-90)\/(-162)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 + 7*v**2 + v + 33. Let l be d(-4). Let t(r) = -r**2 + 12*r + 5. Give t(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -403\/3 or -134?\nAnswer: -403\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1651 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: Suppose -35 = 15*m + 10. Let o be (m\/(-6) + 0)*0\/(-1). Solve -18*r + 15*r - 3 = o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 24 = 4*h + 20, 0 = 4*h + 16 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + (8 + -17 - -21) + 12 - -27?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16136.\nAnswer: 2, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/14)\/9*-2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2463, -136, -12851, -40740, -88861?\n\"Answer: -843*j**3 + 3302*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + 1232?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 28 = -3*q + 4*a, 5*q - a = 42. What is the remainder when 13 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04311 - 0.4?\nAnswer: -0.35689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ebf - -fe?\nAnswer: -dc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - 0.03. Let d = v - -0.03. Which is the smallest value? (a) 1\/4 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 478 + -471. Which is the smallest value? (a) u (b) -2\/7 (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011100101101111010 + -101100?\nAnswer: 10011100101101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2374339545 to the nearest integer?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -167 divided by 1\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 2:42 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 123 - 120. Solve -4*n = -5*x + 14, a*n - 2*x + 9 = x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rddlldlzjrli. What is prob of picking 1 i and 1 z?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - (sqrt(1872) - (-1 + sqrt(1872)))) + 1 + 2*(sqrt(13) + -1) + (sqrt(1300) - (sqrt(1300)*2)**2).\nAnswer: -5202 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7*3*14\/147\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3906504 divided by -69759\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**5\/90 + 79*t**4\/54 + 533*t**3\/9 + 169*t**2 + 465*t. Find s, given that o(s) = 0.\nAnswer: -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**6\/120 + 7*c**5\/60 - c**3 - 2*c**2. Let s be v(7). What is the tens digit of s\/(-2) + (-11 - -71)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 11*z**2 - 154*z - 18. What is the lowest common multiple of v(-19) and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25400 divided by -5080.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5699 and 252563.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -36. Let b be (44\/(-374))\/(2 - (-6)\/(-2)). Sort i, b, 0.4, -7.\nAnswer: -7, i, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -22*l + 19. What are the prime factors of b(-9)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2851014824?\nAnswer: 2, 7, 29, 250793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 less than -32?\nAnswer: -32.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 1. Let b be y(3). Suppose 0 = 2*h - 7*h + b. Is 5 a factor of h\/(-8) + (-66)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 13*j**2 + j**2)*(-j**2 - j**3 + j**2) + 3*j**5 + 0*j**4 + 0*j**4.\nAnswer: -8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-3))\/(83\/(-498)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8776877 to the nearest integer?\nAnswer: 2963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 4\/5*c**5 - 10 - 4*c**2 + 0*c**3 - 4*c + 2*c**4. Factor j(y).\nAnswer: 4*(y - 1)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 300335*w - 73216.\nAnswer: 300335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 5:58 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -415941*f**2*z - 626593*z wrt f.\nAnswer: -831882*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.5 at least as big as -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7765 (base 9) to base 16\nAnswer: -1661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 1. Let o be j(2). Is 13 a factor of (-11 + -2)\/(o - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454 = -3*w + d, -5*w - 4*d + 790 = 22. Calculate the remainder when w is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 10*a + 6. Let b be z(10). Let x = -4 + b. Suppose -c - 119 = -x*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from elldjgjjljll?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.2, 2\/151, 0.6?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4120634190.\nAnswer: 2, 3, 5, 137354473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*j - 6. Suppose -5*l + g = -13, 5*l = g - j*g + 4. Suppose -5*h = l*f - 23, 5*h + 1 = f + 3*f. Solve h*t = -6 - 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81204 meters in micrometers?\nAnswer: 812040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -33. Suppose -2765 = -d*m - m. Let v = m - 156. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 19011621?\nAnswer: 95058105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 61, -3 in decreasing order.\nAnswer: 61, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/64*14*4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/3)*x*x**(4\/5)*x)\/((x**8\/x)\/(x*x**(2\/3)\/x)) assuming x is positive.\nAnswer: x**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -570.\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 22*c - 98. What is r(25)?\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1*1.94627\nAnswer: -1.94627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1008) + sqrt(1008) + 0)**2.\nAnswer: 4030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30793 - -52686. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/10843 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*v**5 - 238*v**3 + 3460*v**2.\nAnswer: 120*v**2 - 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + -2 + -5 + (-2*sqrt(1008))**2.\nAnswer: sqrt(7) + 4025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4551, 18297, 41219, 73323, 114615, 165101, 224787?\nAnswer: 293679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*g - 964, 5*g - 5*r + 7*r = -2468. Let b = 511 - g. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*m**3 - 8938*g**3*m**2 - 20*g**3*m - 9*g**3 - g**2*m - m wrt m?\nAnswer: 6*g**3*m - 17876*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/3048 and -31\/8.\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0*d + 4. Is (-458)\/(-14) + d\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 709 divide 29225947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d*d**(2\/33))*d*d**34\/d assuming d is positive.\nAnswer: d**(1153\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -81481*f**6\/60 - f**5\/30 - f**4\/8 + f**3\/6 - 2*f**2. Let j be a(3). What is j rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 + -362. Let k = j - -284. What is the greatest common divisor of k and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 - -1.5. Let n = -0.93 - -2.92. Let d = 0.01 + n. Sort d, a, 3\/7 in ascending order.\nAnswer: 3\/7, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28635147 is divided by 367117.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4160 and 37768000?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d = -4*o + 26*d - 9, -15 = 5*d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-60)*(-160)\/56?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*o**2 + 0)*(51 - 51 + 12*o + (-1 + 1 - 2*o)*(-3 + 6 - 2)).\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12\/18*(-1 + 640)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 - -84. Suppose 4*h - 619 = 3*p, 2*h = -y*p + 10*p + 311. Suppose 315 = 7*k - h. List the prime factors of k.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6876 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 13) to base 12.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s - s)*((4*s + s - s)*(4 + s**2 - 4) + (-15*s + 9*s - 34*s)*(3*s**2 - 5*s**2 - 2*s**2)).\nAnswer: -164*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-111)\/105)\/(-1) + 100\/700?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15 - -0.1. Let f = l - -0.25. Let s = 12 - 16. What is the second biggest value in s, f, 4\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-8)\/(-40)*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 14*o - 35. Let w be i(-4). Solve -3*g = -2*g - w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -11*d - 7. Let b(y) = 13*y + 8. Let g(s) = 5*b(s) + 6*z(s). Suppose 4*l + l = 0. Calculate g(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -5*z - 25, -z + 2*i + 3077 = 3052 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-176)\/66 + 15\/6. What is the smallest value in 0.1, 1\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14 + -13 - (-10 - (-4 + -2)). Let i(s) be the first derivative of 2\/21*s**3 + c - 4\/7*s**2 + 8\/7*s. Suppose i(k) = 0. What is k?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 8166452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 256*u - 6 - 504*u + 18*u**4 + 250*u as t + h*u**2 + o*u**3 + g*u**4 + q*u and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 8*t + 9. Let w be z(-7). Suppose 0 = w*v + 9 - 1. Let i be ((-8)\/(-3))\/4*-2. Which is the third smallest value? (a) v (b) i (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 21*k + 45. Let p be u(-2). Solve -p*g = 4*g - 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 2\/9, -2.4, -4, 3\/7, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1059827?\nAnswer: 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -3 (c) -2\/11 (d) -0.3 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6029 is divided by 1459.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (102\/42 + (-12)\/(-21)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(((24\/6)\/4)\/(2\/(-6))). Solve b = 2*j + 1, j + i = -2*b + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.897 + 7.897. Which is the nearest to -5\/216? (a) 1 (b) -3 (c) -2 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -19*v**2 - 9*v - 34. Let f be u(-6). Let d = f - -670. Calculate the remainder when 24 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 + 4*g + 2. Let h be z(-4). Let n be (-216)\/(-21)*(-63)\/(-6). Let j = n + -88. What is the greatest common divisor of j and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180888939929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14652304?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 1. Let t = 0 + 0. Suppose 3*k + t*k = 30. Calculate the smallest common multiple of k and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/((-1575)\/39) - 3\/7.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1620, 3222, 4822, 6420, 8016, 9610?\nAnswer: 11202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z**2\/3 - 36*z + 32\/3 = 0. What is z?\nAnswer: -8, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45226 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 455112000 divided by 27\nAnswer: 16856000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -22*j - 188. Let k(r) = 6*r + 46. Let h(m) = 2*d(m) + 9*k(m). Calculate h(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*g**4\/3 - 130630*g**3\/3 + 26122*g**2 - 78362*g\/15 + 5224\/15.\nAnswer: 2*(g - 2612)*(5*g - 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3391*j**5 - 5*j**4 + 2*j**3 + 21181*j**2.\nAnswer: -203460*j**2 - 120*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.019 (b) 4 (c) 2\/7 (d) 138 (e) 2 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 + y + 3. What is t(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) + (sqrt(99) - sqrt(99)*-5))*-5) + -6*(sqrt(99) - (sqrt(99) + -1*sqrt(99) + sqrt(99))))\/(1*(sqrt(1296) + -3*sqrt(1296))).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**3\/3 + 2*q**2 + 2*q. List the prime factors of i(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167474 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 9370190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 21 - 7*r + 45 in the form w*r + o and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1783 - 3415. Is u\/(-28) + 4\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499810729 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1146551898 to the nearest integer?\nAnswer: 33861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 12:12 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-10) - (-30 + 35).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - 6*w + 4. Let k be n(2). What is the second derivative of k*f - 8*f + 12*f**4 + 6*f**4 - f wrt f?\nAnswer: 216*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = a + 2*a - 2, 5*a - 25 = w. Solve i - a = d - 8, -2*i + 13 = 5*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -119744625 - -119679481.889. Let q = u + 65193. Let h = -50 + q. Round h to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/15*(2 - -4). Let p(w) = q*w**3 - w**2 - w**3 - 3*w - 4 - 2*w**3. Is 13 a factor of p(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 2*q. Let t(o) = 10*o**2 + 20*o. What is t(v) - 6*y(v)?\nAnswer: 4*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20471a (base 16) to base 7\nAnswer: 23660133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 + 3*n**3 - 4*n**3)*((4*n + n - 4*n)*(-n - n + 4*n) + 0 - 3*n**2 + 0).\nAnswer: -2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -182\/3 - -61. What is the closest to 1 in -5, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 - -7.4. Let h = l + -7.7. Let o = 2 - 0. Put o, h, -2 in descending order.\nAnswer: o, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*d + 214*d**2 + 227*d**2 + 716*d**3 - 442*d**2 wrt d?\nAnswer: 4296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -368 - -389. What is the remainder when m is divided by (-2)\/(-9) - 68\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 12 + 24)*(-25*q**5 - 37*q**5 + 52*q**5).\nAnswer: -20*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264 and 2539746?\nAnswer: 10158984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 249, 1056, 2427, 4380, 6933, 10104?\n\"Answer: 3*v**3 + 264*v**2 - 6*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 5*u + 125 = 7*q, -q + 39*u = 43*u - 14 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 5*s + 286. Let h(u) = -11*u - 88. Is 10 a factor of h(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 8:54 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1204, -1237, -1274, -1309, -1336, -1349, -1342, -1309?\nAnswer: -1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-190)\/(-912))\/(360\/(-48)).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -182 + 314. Suppose 2*f - v = -2*x, -f - 4*x = -0*f - 72. Let o = f + -59. Solve 2*i = -s + 3*i - 6, s + o*i = 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from {x: 8, z: 1, c: 8}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -5, -1, -3, -639, 2, 3 in increasing order.\nAnswer: -639, -52, -5, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + a = -6653 + 17581, 2*g - 4*a - 10928 = 0. Suppose -x - g = -4*v - 5*x, -2*x = -3*v + 4123. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*b**3 + b - 53 - 2 + 66*b**3 to the form y*b**3 + r*b**2 + g*b + i and give y.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 377558926?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 - -184. Calculate the greatest common factor of 34 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**2 - 16*c + 29. Let k(x) = x**2 - x - 1. Let m(g) = 6*k(g) + w(g). Let u be m(21). Solve -l + 10 = -u*j - 2*j, -5*j - 13 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - 3*o + 5*o)*(-2 + 4*o + 2) + 4*o - o**2 + o**2 - 3*o**2 as g + m*o**2 + h*o and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**3\/6 - 6*j**2 + 9*j. Let y be x(12). Solve t = -y*t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/64*(-1 + 3)\/1. Factor -r**2 + 0 - 1\/2*r - k*r**3.\nAnswer: -r*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -99 - 18096\/(-3312)*18.\nAnswer: -15\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 4 in descending order.\nAnswer: 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 6*g - 40926. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 10 - 5 - -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 - 405*m + 7468. Calculate y(22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h + 15 = 0. Suppose -3*n = 19 - 7. Let x = 4 + n. Solve x*o = h*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/3 - 0)*3\/(-696)*8\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooo. Give prob of sequence oo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from dnlnwbbdwlnwnbwwnnnn?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 88964 - -4?\nAnswer: 88968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 4:16 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -79 - c9291?\nAnswer: -c930a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-267)\/623*(-7)\/(-18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 254963415?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1561 is divided by 394?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39566 by -2.\nAnswer: -19783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g = 29*g + 45. Let l = 20 - 2. Calculate the lowest common multiple of g and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1097 + 25237\/23. Is -1 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l - 10 = -20*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 11 - 1. Suppose -2*c + 25 = 5*f, r*c = 2*c. Solve 0*l + 4*v - 11 = -3*l, f*l - 4*v + 3 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 1343143242?\nAnswer: -1343143234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63*((-312)\/42)\/(-26).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 12 = -3*m. What is the remainder when 3 is divided by (-4)\/8*(m + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005924135 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 1932, 2, -21\/5, 1, -1 in decreasing order.\nAnswer: 1932, 2, 1, 0.03, -1, -21\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2 = w, 0*f = f - 4*w - 8. Suppose -3*z + 0*z = f. Suppose -2*r = -z*r - 4. Solve d + r = 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/4, -2\/5, 209\/3, 0 in descending order.\nAnswer: 209\/3, 0, -2\/5, -17\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -7*a**6\/60 - a**5\/30 + a**3\/6 + 8*a**2. Let h be y(-2). Suppose 5*k - h = 85. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779075577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625603 is divided by 208529.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 22*y - 13 = -3*g, 0 = y + 5*g - 17. Let u(m) = 143*m**y - 312*m**2 + 155*m**2. Let q(n) = -25*n**2. Calculate u(q(v)).\nAnswer: -8750*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/8 and 149\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 6*v**2 - 17)*((18 - 18 + 28*v)*(0 - 1 - 1) + 2 - 2 - v) as i*v + s*v**2 + h*v**3 + m and give h.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 25 = -75. Let v be -1 - 0 - (13 - 1). Let o = l + v. Are o and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (50 + 1 + -123)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 7:27 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(931) + 0 + 3 - (1 + sqrt(931) + -6*(sqrt(931) - (-1*sqrt(931))**2)).\nAnswer: -5589 + 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*z**2 - 44*z**2 + 16*z**3 + (3 - 3 - 2*z**2)*(z + 5*z - 5*z) - 115*z**2 + 115*z**2 - 130*z**3 + (-z**3 + 2*z**3 - 3*z**3)*(1 + 0 - 3).\nAnswer: -112*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 11, 357169 in decreasing order.\nAnswer: 357169, 11, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 6*t - 3*t - 5*j, t = 5*j + 21. Suppose t = -y - 3*y. What is the closest to y in 0.1, -5, 4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*0*(5 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2479*q**2 - 530*q**2 + 699*q**2 - 1480*q**2.\nAnswer: -3790*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -30) + 3 + -12 + 1 + 2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 58*c - 55. Let i be f(5). What is the highest common factor of i and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 60*l**2. Let g(y) = 6*y + 22. Determine r(g(a)).\nAnswer: 2160*a**2 + 15840*a + 29040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j - 2*s - 12, 0 = -2*s. Let n = -3\/346 + -671\/2422. Sort -4, n, j in descending order.\nAnswer: j, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2112741888.\nAnswer: 2, 3, 71, 19373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12256 is divided by 6124.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1, -3.03941, -1.5, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - -0.3. Let a = -83.2 - -83. Let h(l) = -l. Let r be h(3). What is the closest to d in 5, a, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.25 + -0.3. Let l = o + -1.95. Let r = -2 - -3. What is the closest to r in -4, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (319545*w - 2*w**2 - 319545*w - 3779)*(w**2 + w**2 - 5*w**2) in the form m*w**2 + d + u*w**4 + i*w + h*w**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 3:50 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429268?\nAnswer: 2, 7, 15331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6610, -13223, -19836, -26449?\n\"Answer: -6613*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -3. Let v = 173430 + -173434. Let u = -3342\/11 + 304. What is the smallest value in r, u, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*k + 106059 - 106553 = 0 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 + 229*r + 25*r**2 - 689*r + 226*r + 234*r to the form t*r**2 + s + o*r and give s.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 + u**2 - 4*u + 10. Let j be r(5). Let k = 705 - j. Let a be k\/(4\/160*-2). What is a rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -493267 and -493267 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.0321.\nAnswer: 0.0642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4952*y + 4952*y + 3*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v. Let o(z) = -z + 1. Let b(x) = -g(x) + 4*o(x). Let l(i) = i - 1. Determine b(w) + 4*l(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*z + 64020 = 78*z. Calculate the remainder when z is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -1977*n**3 - 5*n**2 + 2*n - 2. Let y(l) = -3954*l**3 - 13*l**2 + 5*l - 5. Determine 5*c(m) - 2*y(m).\nAnswer: -1977*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 6*z**2 - 6*z - 4. Let g be l(-6). Let k = g - -22. What are the prime factors of 12\/k - (-194)\/18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 + 5*g. Suppose -f - 1078 = -2*t, -4*t + 596 = -3*f - 2640. Let n be (-6)\/33 + f\/110. Let p(m) = -m**2 + 2*m. Calculate n*p(d) + 4*z(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1317.93 - 985.9. Let d = -331 + o. Round d to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*d + 12 = 185*d + 192*d, 2*l - 6*d + 41 = -11*d for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1320637.22 + -0.2.\nAnswer: 1320637.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10\/3*43956\/(-3960)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -34, -52, -80, -118, -166, -224, -292?\n\"Answer: -5*u**2 - 3*u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60827\/7 - 8690. Let s = -176\/3 + 58. Which is the second biggest value? (a) s (b) z (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3619*a - 3614*a + 14, 2*k + 14 = -a. Let l be ((-3)\/(-2) + -1)*10. Suppose a = -l*d - 6*d + 2673. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2605951 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -74 in 0.2, 0, -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11.8 and -12.92708.\nAnswer: -24.72708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 108 (b) 3.6 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65750272 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129 + -212 - (((14 - 4) + -4 - 13) + 11)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 2:25 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -884958, -1769688, -2654418?\nAnswer: -3539148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 0 + 0*h**2 - 1\/720*h**6 + 0*h**4 - 3*h - 1\/240*h**5 + 1\/2*h**3. Let x(l) be the second derivative of g(l). Factor x(v).\nAnswer: -v*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 31*w - 1227. Let q be v(45). Calculate the greatest common factor of q and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: -54467.8+15.7\nAnswer: -54452.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 2. Let a(k) = -3*k - 124. Determine 3*a(w) + 12*p(w).\nAnswer: 3*w - 348","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.225722697 rounded to 3 decimal places?\nAnswer: -0.226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.010812 + 15091\nAnswer: 15091.010812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 3*v. Let k be b(-3). Let w be (21\/(-126))\/(6\/(-180)). Let q = k + w. Sort 4\/9, -1, q.\nAnswer: -1, 4\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 2:23 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*q - 77. Calculate the least common multiple of q and 5.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 - 2*m. Let p(d) = d**3 - 11*d**2 + 31*d + 9. Let w(k) = -p(k) + v(k). Let c be w(10). Put -2, -3, -5, c in increasing order.\nAnswer: c, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -50, -7 in decreasing order.\nAnswer: 1, -7, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1060, -8314, -28202, -67114, -131440, -227570?\nAnswer: -361894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 7\/24*o**4 - 1\/2*o**3 + 1\/120*o**6 + 0 + 2*o**2 + 2\/15*o**5 + 0*o. What is a(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**3 + 6*h**2 + 2*h. Let p(i) = -48*i**3 - 96*i**2 - 33*i. Let x = 8 - -25. Let t(a) = x*y(a) + 2*p(a). What is the third derivative of t(r) wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 s when four letters picked without replacement from sbbbs.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 869.7 + -913. Let b = -0.7 + u. Let y = -43.94 - b. Which is greater: -0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12663, -13104, -13865, -14946, -16347?\nAnswer: -18068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 849, 3 in decreasing order.\nAnswer: 849, 3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 + -65. Suppose -193*a + 201*a = 32. Suppose -f - 1 = 3*h, -4 = -4*f - 2*h + 2. Solve -5*t - n = -5*m, 0*t - a*m = f*t - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1921 = 3*k + 341. Let t = -447 - k. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2370 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*y - 10 = 0, 0 = -3*k - 0*k - 5*y + 14. Solve -d = -1, 8 = 3*r + 5*d - k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6839 + 6851. Solve -2*u + 5*d + 19 = 0, 4*u - 7*u + l = -2*d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29371 - -29648.27. Let p = 276 - q. Round p to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.2 + -2.8. Let i = -6 - o. Let f be 125\/(-20)*21\/105. Which is the closest to f? (a) -1 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**3 - 5*t**3 + 1 + 12*t**3 - 2*t**2 - 4 - 9*t as b*t**3 + p + h*t**2 + o*t and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.38554 decades to months.\nAnswer: 4366.2648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96.11 - -103.11. Which is the second biggest value? (a) -1\/5 (b) q (c) 2 (d) -4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 29*m + 18 = 27*m, -3*m + 3 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 2 - sqrt(605))**2*5 + -3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -2\/3 (c) -183.7 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + -6 + 646 + (-16)\/8?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 4200.\nAnswer: 4198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/(-9))\/(-5)*(-42 + 42). Solve b = a + 4, 19*a - 14*a = -5*d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**4\/12 + q**3\/2 - 33*q**2. Let o be a(-4). What is the hundreds digit of o\/(-11) + 304\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j - 10. Let i(v) = -2. Calculate 10*i(a) - w(a).\nAnswer: -8*a - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 690*j + 489*j + 915*j + 2810*j**2 + 38*j**2 + 784*j wrt j?\nAnswer: 5696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9221715 divided by 2\nAnswer: 9221715\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (22613\/3)\/(-9 + 140\/15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000365468 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48549546 divided by 24274773?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528 a factor of 521317690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1049, 7290, 17683, 32222, 50901, 73714, 100655, 131718?\nAnswer: 166897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, g: 5, m: 1, q: 2}. What is prob of sequence gmg?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/2)\/(-7)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1110 - -112?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 6:35 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -30919543 - 2110\nAnswer: -30921653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.609 + 0.809. Let m = -25 + 34. What is the closest to 2\/3 in m, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104472059 by 15703.\nAnswer: -6653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108356 - 216776 + 108420 + 37*n**2.\nAnswer: 37*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2128633378?\nAnswer: 2, 97, 101, 108637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*(1197\/42)\/(-57).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 9*n**2 + 7*n + 11. Suppose 2*j = -2*j. Suppose 3*l - 8*l + 40 = j. Let r be v(l). Solve r*f - 7 = x - f, 0 = -2*x + f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22369.99986821 - 22370. Round b to six decimal places.\nAnswer: -0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -10. Let z = -4 - -8. Let k be z\/(3 + t\/2). Solve -2*b - 2*b = -5*x + 3, 0 = 3*x - k*b + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + f + 168*f**2 + 2 - 179*f**2 + f. Determine i(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(364)*-1 - sqrt(364))\/sqrt(7))\/(sqrt(100)*-2).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2816*h - 7322 = 5716 + 6674 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2835 divide 1334034757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3)\/18)\/(1\/79) and -103\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -1593*z - 9. Let j be b(-3). What is the units digit of 3\/(-6) + j\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1. Let y(q) = 43*q + 86. What is 86*s(b) - y(b)?\nAnswer: -43*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 3:51 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 226 + -225. Let f(c) = c**2 + c - 1. Let h(j) = -2*j + 6 - 2*j - 1. Let u(n) = o*h(n) + 4*f(n). Find the first derivative of u(p) wrt p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 23 = 5*l + 29 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 10*r**2 - 9*r + 22. Let h be y(-11). Suppose -5*m + 2663 + 4737 = -5*q, 5*q + 10 = h. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*i - 6*i. Suppose 5*h + 19*h - 1248 = i. Calculate the remainder when 99 is divided by h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -884 = -3*x - 269. Let t = -107 + x. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136 and 120.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -741 - -1074. What are the prime factors of r?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + l + 0*l + (l + l - 4*l)*(-1 + 0 - 1) - 53*l + 19*l - 26*l - l + 0*l + 2*l + (-3 - 2 + 7)*(-l + 2*l + l).\nAnswer: -48*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 2364*l**2 + 21519*l.\nAnswer: -3*l*(l - 797)*(l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 10:31 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.137 times -4?\nAnswer: 0.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgnjjnlnknloknn. Give prob of sequence ll.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-189))\/((-69)\/(-2415))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113879627.\nAnswer: 883, 128969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - 0) + 1*-1. Suppose -69*v = 10*v - 539 - 14. Solve 0 = -h*m + v*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -104, -117, -144, -191, -264, -369?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*d = -3*d - 24, 0 = -3*i - 5*d - 28. Is 0 - (i + -3 + -90) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s\/(s**(-6\/13)*s))\/s**(-23))**(-7\/5))**45 assuming s is positive.\nAnswer: s**(-20853\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16848 divided by 216.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 69*w**2 + 614*w + 1416.\nAnswer: (w + 4)*(w + 6)*(w + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 311873245 and 340?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**2 + 2. Let p(w) = 10*w**2 + 4. Let m = 679 + -670. Give m*u(d) - 4*p(d).\nAnswer: 5*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*z - 47, 0*w + 5*z - 15 = w. What is the least common multiple of 6\/w + (-206)\/(-10) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 259727?\nAnswer: 259726.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107972903?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 6. Let m be d(8). What is the third derivative of -2*a**2 - 22*a**6 + 15*a**m - 1 - 90*a**6 wrt a?\nAnswer: -13440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, d: 1, r: 6, q: 5}. What is prob of sequence nnr?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, 42, 137, 292, 513, 806, 1177, 1632?\n\"Answer: j**3 + 21*j**2 - 29*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 16*i**2 - 13*i + 7. What is the remainder when 330 is divided by x(15)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723526.\nAnswer: 2, 361763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1066 - -1178. Calculate the highest common factor of p and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1170 + 67863\/58. What is the common denominator of f and 85\/2?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-2))\/(11 - 8 - (-64440)\/(-21472)). Calculate the highest common divisor of 594 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*r - 88163, -5*u + 52895 = -2*u - 4*r. Let b = 423299\/24 - u. What is the common denominator of -13\/2 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -8, 0 = 8*t - 13*t + 5*i + 170. What is the remainder when 87 is divided by t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*j + 14, -2*u - 3*u + 22 = -2*j. Suppose 2*r = -36 + 6. Let b = j - r. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 + 4 + -7 - 5. Let a be (-8)\/(-20)*1 + (-70344)\/r. What is a rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - 208\/3146*352.\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**3 - 6*q**2 - q + 4. Let g be v(4). List the prime factors of (-1)\/3 - g\/(-12).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 11) in base 16?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/14 and 67\/311593506?\nAnswer: 311593506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*(24\/(-6))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 4:09 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/(-3))\/((-995)\/330 + 3). Suppose -11*u + 231 + h = 0. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31415\/7 less than or equal to -4489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2674 + 0.0444. Let p = l - -0.26. Round p to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 551\/66465 or -1?\nAnswer: 551\/66465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 4*v + 14, -5*f = -23*v + 20*v - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 3*c - 2*c + 112 - 110 = -7*c, 5*u - 4*c - 13 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a - 68 + 226 = -202 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**3 - 24 - 36 - 47*u**3 - 263*u**3 + 86 in the form y*u + d + s*u**3 + p*u**2 and give s.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y. Let k(w) = 2*w. Let f(a) = -4*k(a) + 6*u(a). Let p(b) = -2*b**2 - 1. Give f(p(l)).\nAnswer: -8*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1419757 is divided by 92?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35641 or 35704?\nAnswer: 35641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -125, -5 in descending order.\nAnswer: -2, -5, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 48. Suppose 2*s + 0*t + 4 = -4*t, -4*t - 4 = 0. Suppose -x + 2 = -5*w + 33, s = -3*w - x + 25. Calculate the remainder when n is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 1\/(-1)*1. Let k(n) = -2*n**3 - 22*n**2 + 26*n + 26. Let t be k(-12). Suppose -t*r - g*r - 16 = 0. Put -3, r, 4 in decreasing order.\nAnswer: 4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/9)\/28*2\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 6*i**2 - i - 2. Let h be k(-6). Suppose -8 = -h*f + 20. Suppose 0 = -3*x + 4 + 5. What is the remainder when f is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - 3*i + 3. Let s be 45\/10 + (-1)\/(-2). Suppose -s*r = -4*r - 2. What is u(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -t + 197, -4*d + t + 158 = 2*t. Suppose 5*w = -14 + d. Suppose -i = w*l - 9 - 25, -24 = -2*l - 3*i. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-10))\/(6\/(-30)). What is the units digit of (-1 + 0)*d\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27342.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046276121 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 4*u**2 + 5*u + 4. Let q be k(-5). Suppose f + f = q. Find the third derivative of -5*x**3 - 2 - 4*x**f + 0*x**3 + 2 wrt x.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156 + -158 - (0 + -1 - (-2 - -9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.01977 - 0.01977. Sort j, 0.5, 2\/9, 6, -2 in increasing order.\nAnswer: -2, 2\/9, 0.5, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 5*h**2 + 3. Let v be x(-5). Solve v*q = -q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110429?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(30\/(-200)*(-336)\/36)?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-81)*29\/(-12)*(-81)\/3.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 6. Let g = -6 + t. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 26. Suppose -t + y*t - 40 = 0. Solve -o - t = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 4102\nAnswer: -9\/4102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**5\/5 - 5*w**4\/2 + 4*w**3\/3 + 77*w**2 - 147*w - 8. What is j in u(j) = 0?\nAnswer: -7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -1, -46, -2 in descending order.\nAnswer: 3\/8, -1, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 5) to base 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3. Suppose 0 = 2*a + 2 - 6. Calculate q(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 v when four letters picked without replacement from giivvviiivivvvvivvii?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 12:41 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 1)\/((-10)\/(-25)). Let d(f) = -9*f + 5*f + 22 + f + 6*f**2 + 3*f. What is the hundreds digit of d(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 688 - 2*r**2 + 1473 + 678 + 562 to the form o*r**2 + c + t*r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 i when four letters picked without replacement from tttittti.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 7*i + 23. Let w be v(7). Suppose 4*q = -8, 1 - w = -4*c + q. Suppose -3*g + 45 = c*r, -3 = 3*r - 4*g - 1. Solve 0 = -r*o + 7*o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 512278 and 12376.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*q - 231*q = 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 12.284781 months?\nAnswer: 0.0102373175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*b + 107*b + 119*b + 109*b - 444*b.\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 3*a + 3. Let n be x(2). Let b = -1 + n. Let r = 5 - 5. Is b at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45602 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, g: 3, l: 2, b: 2, z: 3, c: 4}. Give prob of picking 1 b, 1 g, and 1 c.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + 26. Let m(f) = 595*f + 88. What is the lowest common multiple of c and m(0)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 8:20 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u**3 + 8*u**2 + 3*u. Let q(f) = 8*f**3 + 9*f**2 + 3*f + 1. Let k(n) = 7*g(n) - 6*q(n). What is the units digit of k(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*g**3 + 27*g**3 + 40*g**3 + 26*g**3.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t**2. Let g(d) = 2*d - 20. What is g(j(x))?\nAnswer: 16*x**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + t + 2. Let s be v(-2). Suppose -3*b + s*f = 17, -2*f - 16 = -0*b + 2*b. What is the tens digit of 14\/(-49) - 149\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 18 = -0*j - 5*j, 4*j + 9 = 3*a. Put 10, a, -5, -33 in descending order.\nAnswer: 10, a, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, h: 7}. Give prob of picking 2 z.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + ((-96)\/(-15))\/(3\/90). Let g(l) = 8*l**2 + 3*l + 2. Let h be g(-2). What is the greatest common divisor of h and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-6 - (6 - 4)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 16*n**2 + 26*n - 12.\nAnswer: 2*(n - 6)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 424423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 7:53 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002371158 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 5. Let h = -2 + l. Let b(s) = s**2 + 3*s - 13. Let c be b(-5). Put h, 2, c in ascending order.\nAnswer: c, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i + 2559. Let a(v) = -5*v + 5119. Give -4*a(f) + 7*l(f).\nAnswer: -f - 2563","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, o: 5, i: 1}. Give prob of picking 2 f.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 168750*o**2 + o + 8. Let p be (-2)\/(-7) - (-696)\/(-84). Let m be y(p). What is m rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15510263.57 to the nearest 1000.\nAnswer: -15510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j + 44. Let o be t(19). Solve 0 = -4*q + 5*y - o - 9, -2*y = 3*q - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -1\/120*d**6 + 1\/10*d**5 - 1\/2*d**4 + 4\/3*d**3 + 0 - 2*d**2 + 5*d. Factor f(b).\nAnswer: -(b - 2)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218 divided by -287\nAnswer: -218\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1092 is divided by 273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2042734242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 2*w**2 - 3 + 4 - 46 + 58 - 6.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 19 + i**2 - 32*i**3 + 10 + 394*i.\nAnswer: -32*i**3 + i**2 + 394*i - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 3804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**4\/12 - t**3\/6 - 3*t**2\/2 + 3*t. Let m be l(0). Are m and -3 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 1)\/2 + 1. Suppose -4*x - 3*h = -89, -3*x - w*x - 3*h + 115 = 0. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwzz when four letters picked without replacement from zvzvzvzzzvwvvwvz.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5977*x. Let y(d) = 296*d + 25. Calculate c(y(n)).\nAnswer: 1769192*n + 149425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 20 = 0, 5*a = -j - 3*j + 30. Suppose 4*i - 14 = -a. Suppose -v + 2*f - 5 = i*f, v - f + 1 = 0. Does -9\/5 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8 - 2)*(0*x**3 - x**3 + 0*x**3)*(0*x + 3*x - 2*x).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75\/7 - 689\/63. Let u be (-56)\/539 + 4\/14. Which is the second smallest value? (a) 0.5 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 1\/4*n**3 + 3\/8*n**2 - 3\/4*n - 1 - 3\/16*n**4. Factor c(w).\nAnswer: -3*(w - 1)**2*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -912.2 - -936.2. Which is the closest to -1? (a) y (b) 43 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(65) + 5*(-4*sqrt(65) - sqrt(65)))\/(sqrt(960)\/sqrt(3) - sqrt(55)\/(-1*sqrt(11))).\nAnswer: -7*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 302*n**2 - 308*n**2 - 3*n + 490 - 507 as y*n + t + u*n**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 4*w**2 + 8*w + 1. Determine p(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2449)\/(-496)*-24*542\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.4 + -1.6. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 178*x + 5 - 2*x**3 + 0*x**3 - 179*x to the form b*x + g*x**3 + t + w*x**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 + 0.02987. What is j rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(36)\/(sqrt(300) - sqrt(12))).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 265\/6. Sort 1, d, 5 in ascending order.\nAnswer: d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*w**2 + 462*w**4 + 53*w**2 + 13*w**3 - 2*w - 15*w**3 - 461*w**4 + 2 to d + t*w**2 + l*w**3 + x*w**4 + r*w and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244540 is divided by 30562.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 88069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2158723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0949 - 0.1151. What is l rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 35061?\nAnswer: 17\/35061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*i*v + 7*d**2*i - d**2*v**2 + 145*d*i*v**2 + 16*i*v wrt v.\nAnswer: -2*d**2 + 290*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.6 - 7. Let m = q + -0.26. Let g = m - 0.02. What is g rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -643\/24 - -317\/12. Which is the fifth biggest value? (a) -0.4 (b) y (c) 40\/29 (d) 0 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 686?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30818, 30819, 30820?\n\"Answer: w + 30817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 - (6 + 3) - -14 - (-9 - -4 - 2).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -277956 divided by -84.\nAnswer: 3309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 + 5*b**2 - 4*b**2 + (0*b + 2*b - 3*b)*(-b + 2*b + b) + (5*b - 6*b + 3*b)*(-5*b + b + 2*b) - 3*b**2 - 2*b**2 + 4*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 1, o: 3, u: 2, x: 3, k: 2}. What is prob of sequence ck?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14609089 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/((-57)\/1026). Solve 36 = -j*m - 0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1103 - -1998. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/4 - 7*l**4\/2 + 14*l**3 - 17*l**2\/2 - 105*l\/4 = 0. What is l?\nAnswer: -1, 0, 3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 3*s**3 + 0*s**2)*(3 - s**2 - 3 + (-2*s + 0*s + 0*s)*(0 + 0 + 2*s) + 2*s**2 - 2*s**2 - s**2 - 10*s**2 - 13*s**2 + 2*s**2).\nAnswer: 81*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y - 1 - 7 - 4*y + 0*y. Let x(t) = -t + 15. Let u(k) = 5*h(k) + 3*x(k). Let d = 2 - 7. Calculate u(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/5 + 130\/25. Suppose 5 = n - l, -2*l - 23 = -m*n - 1. Solve n*x - 18 = -2*f, -5*f - 2*x - 3*x = -25 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2692*z**4 + z - 7 - 2690*z**4 - z**3 - 3*z**2 + 0*z - 4 to w + l*z**4 + g*z + d*z**3 + k*z**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 528.173 + -0.173. Let m = u + -531. Which is the nearest to -1? (a) m (b) 2\/13 (c) 217\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -684.67 - -684. Put 0.4, 3, h in increasing order.\nAnswer: h, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 5*i**2 + 7*i - 1. Let p(d) = 8*d - 3 - 2*d - 3. Let q be p(2). Give w(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2228066 and 2228052 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + -773a4?\nAnswer: -773b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -2, 1.6, -5\/2, -2\/5 in ascending order.\nAnswer: -5\/2, -2, -2\/5, 4\/7, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 45*k**3. Let o(x) = x**3. Determine -3*n(y) + 108*o(y).\nAnswer: -27*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*l - 49*l + 29*l - 517 as j + d*l and give j.\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = -2*t + 4*t. List the prime factors of t.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1950 and 18650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -41913\nAnswer: -4\/41913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/((-3 - -7)\/2). Let q(w) = 16*w**3 + 4*w**2 - 6. Let f(g) = 3*g**3 + g**2 - 1. Give c*f(s) - 2*q(s).\nAnswer: s**3 + 3*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 28 = 2*d. Let o = d + -6. What is the remainder when 21 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*f = -365, -62*f + 60*f + 184 = 2*t. Calculate the remainder when 629 is divided by t.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13620 - 3636. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**2 - 5*a + 21. Let g be u(5). Suppose 3*z - 5*q - 22 = 5*z, 2*z - 2*q + 8 = 0. Let d = z - -18. What is the greatest common factor of d and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1 = 4*q, q - 3*h + 2 = -0*q. Suppose 124 = -5*s + 144. Sort -4, 3, s, q.\nAnswer: -4, q, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 18*s**2 + 15*s + 36. Let b be t(17). Find j, given that 15 + 20*j + 0*j - 5*j**b - 10*j = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 - 4*b**3 + 973*b - 210*b**2 + 981*b - 1954*b.\nAnswer: -4*b**3 - 206*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 585, -5, 4, 1, 7 in descending order.\nAnswer: 585, 7, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -4, -3, -6 in decreasing order.\nAnswer: 51, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*a - 4*a = 24, -25 = v - 5*a. What is the third biggest value in 9, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -10*y + 249. Let l(u) = 26*u - 746. What is -3*l(q) - 8*n(q)?\nAnswer: 2*q + 246","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**5\/20 - y**4\/2 + 2*y**3 + 3*y**2\/2 - 7. Let h(z) be the second derivative of x(z). Factor h(a).\nAnswer: 3*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n**3 - 6*n**3 - 19*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1297521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 509652 and 17226.\nAnswer: 14779908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 706 - -16?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(114) + sqrt(114)*3)*-5)\/(sqrt(726) + -3*sqrt(726)*5).\nAnswer: 30*sqrt(19)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 1)*3 - -1. Suppose z + o = -z. Let k be (z\/3)\/(2\/3). Is k bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 99*b + 3. Let u(c) = 4*c**2 + 198*c + 6. Give 7*a(v) - 4*u(v).\nAnswer: -2*v**2 - 99*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 112869317 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: Which is the smallest value? (a) -2\/35 (b) -0.1 (c) -2\/7 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -996*m + 15939. Calculate y(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**2 + 65*m + 477. List the prime factors of l(61).\nAnswer: 3, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*u = 2*n - 11, 20 = -2*u + 5*n. Let k be (-1 - -2)\/((-5)\/u). Is ((-171)\/(-12))\/(k\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1850916*b**2 + 3701829*b**2 - 1850914*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -25.7. What is the second smallest value in x, 0.5, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11474.\nAnswer: 2, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*y + 3*i - 22, 5*y + 50 = 5*i. Let f be 17 + 0 - 18\/y. Suppose t - f = -0*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 - (-40)\/(-12). Let t = h - -25. What is the remainder when (-70)\/(-4)*13\/((-91)\/(-14)) is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99 - 6158806880787\nAnswer: -6158806880886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675163356?\nAnswer: 2, 3, 7, 617, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/297 and -127\/108.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b - 4. Let g(w) = -6*w. Let d(l) = -3*l**2 - 36*l. Let v(f) = -d(f) + 6*g(f). Give v(r(p)).\nAnswer: 12*p**2 + 48*p + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 829*l**3 + 401*l**3 + 617*l**3 + 1859*l**2 - 647*l**3 wrt l.\nAnswer: 7200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 3*o**6\/10 - 3*o**5\/10 + o**4\/12 - 9*o. Factor q(r).\nAnswer: r**2*(3*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*a - 18*a - 4773 = -1182 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -320 smaller than -211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 + 1.04. Let n = 3 - j. Which is the second biggest value? (a) 3\/2 (b) n (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31097398 by -1303.\nAnswer: 23866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 1\/2, 2, 4 in descending order.\nAnswer: 36, 4, 2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0949836 - 0.095. Round v to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 965 and 18142.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*k + 5*k + 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {u: 6, o: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 73\/5 - (-3)\/(-5). Let r = 73 - 87. Let p be (r + 2)*(-7)\/q. Solve -p = -4*x + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 3*c - 5*j, -3*c + 0*c = -3*j - 18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6b8cd - 2?\nAnswer: -6b8d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4806*h**2 - 99*h + 126. Let t(f) = 155*f**2 + 3*f - 4. What is -63*t(m) - 2*z(m)?\nAnswer: -153*m**2 + 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -12321\/4 + 3307\/2*u**2 - 4773\/4*u - 69\/4*u**4 - 1\/4*u**5 - 501\/2*u**3 = 0.\nAnswer: -37, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88528156 a multiple of 691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:55 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1883141 and 221.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9331685 millennia?\nAnswer: 93.31685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12\/27*(-9018)\/(-4676)*(-14)\/16\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbbbbkbnr. What is prob of sequence rb?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -37. Let q be (m\/(-10))\/((2 - -1)\/162). Solve -5*a - 2*o = -3*o - q, -3*o = 3*a - 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(175*t + 194*t - 220*t)*(-12 - 3*t**4 + 12 + t**4 + 4*t**4 - 3*t**4 + t**4 - 6*t**4 + 3*t**4 + (-1 - 2*t + 1)*(0*t + 2*t**3 + 0*t)).\nAnswer: -2086*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 + 659*q\/2 - 329.\nAnswer: -(q - 658)*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -309.9 + 67.9. Let q = -237 - k. What is the third biggest value in 3\/38, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 109423748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -11. Suppose 2*n - m = 3. Let v = -1 + n. Is 0 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255088.\nAnswer: 2, 107, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2219304 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/12866 and 69\/2264.\nAnswer: 14564312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 17141.081 to the nearest 100.\nAnswer: 17100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 3 + 1)*(2*o - 4*o + o) + 5*o + 8 - 8)*(3*o**2 - 10*o**2 - 12*o**2) + o**3 - 2 + 2 as c*o**3 + n + m*o + g*o**2 and give c.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3741*n**5 - 2979*n**4 - 2*n**2 - 8839*n + 472 wrt n.\nAnswer: 224460*n**2 - 71496*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1619478.4309659 - -3339.4328159. Let b = -1616181 - k. Let s = b - -42. Round s to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * 24.\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.1, -1\/2, -163?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (-6)\/(-3)) + 5. Solve -4*t - q = 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/12914 and -91\/22?\nAnswer: 12914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -9. Let s = j + -13. Let c = 0.2 - 0.3. What is the third smallest value in c, s, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkrkkkkkkktgt. Give prob of picking 1 g, 2 t, and 1 r.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7 - 4) + -3 - -3) + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 175 = -6*i. Suppose -5*a + i = 5*u, -u - 17 = -3*a - 0*a. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (((sqrt(176) + (2 + sqrt(176) - sqrt(176)))*-6 - sqrt(176)) + sqrt(176) + 3 + 5)**2)*5 + 4.\nAnswer: 960*sqrt(11) + 31774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/11 + 158415*p\/11 + 475254\/11 = 0. Calculate p.\nAnswer: -3, 158418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26090 - 9274 = -543*u + 122*u for u.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-56)\/(-2)*(1 - -3) + -1. Let l = -195 + g. Which is smaller: l or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 8*u**3 - 9*u**3 - 2*u**3 + u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (26151\/414)\/379 - 2*(-10082)\/48. Factor 1\/4*r**2 - 41\/2*r + w.\nAnswer: (r - 41)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.121 * 1.17353\nAnswer: 0.14199713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/19 - -2\/19. Is 1 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**4 + 2055*g**3 + 210875*g**2 + 2860665*g + 2651850 = 0. Calculate g.\nAnswer: -71, -15, -1, 498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 116 - 725?\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 129811.71 months in millennia?\nAnswer: 10.8176425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 246*s**3 + 87 wrt s.\nAnswer: 738*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99740916?\nAnswer: 2, 3, 11, 59, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*l + 3*w - 0*w, 0 = 3*w - 9. Let a be (-24)\/(960\/1400) + 40. Put 2, l, a, 10 in ascending order.\nAnswer: l, 2, a, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24229652 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 - 3*j**3 - 33*j**3.\nAnswer: -38*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2298633 is divided by 574644?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8d51 - -1?\nAnswer: -8d50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*sqrt(528))\/(sqrt(176) + -2*sqrt(176) + sqrt(176) - 2*sqrt(44)) + 1.\nAnswer: -24*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 2, i: 7, f: 2, n: 6}. Give prob of picking 1 f and 1 b.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(-6\/5)*(((i\/(i**0\/i))\/i*i)\/i)**(-2\/147))**42 assuming i is positive.\nAnswer: i**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (13 + 4 + -9 - -78 - -19).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1549103 from -0.2.\nAnswer: -1549103.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.275 + 184.275. Let r = u - 311. Let v = -126.9 - r. Which is greater: -1\/38 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 368, 2981, 10080, 23909, 46712, 80733?\nAnswer: 128216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*v - 284*v = -2379 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 5.3 (c) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 4712.548593499.\nAnswer: 4709.548593499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9512 and 435?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 87134 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from tbzsy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*f + 17530 = -7460. Calculate the remainder when f is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 800.366g in milligrams?\nAnswer: 800366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5203823 and 11993.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w + 4*w - 1 - 2*w + 5*w**2 - 3*w. Let a be d(1). What are the prime factors of (-6)\/(-7)*(a - -16)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -2\/7 (b) 6.6 (c) -1\/8 (d) -31 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n**4 + 6*n**3 + 180*n**2 + 168*n - 96 = 0.\nAnswer: -2, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(1\/14)*t**(1\/2) assuming t is positive.\nAnswer: t**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*t = 3, -5*q - 2*t = 7 + 2. Let n be q\/3 - (-80)\/15. Suppose -n*x + 2*x + 9 = 0. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + 972ce?\nAnswer: 972d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-2)*t*t\/t**(1\/6))**(2\/71) assuming t is positive.\nAnswer: t**(35\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 * 61.\nAnswer: -2318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - -183. Suppose -8*m = -r - 110. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 + 0.41. Let f = 104 + -103.9. What is the nearest to k in f, 4, 5\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16215230 + 6159*w**2 + 16215230)*(-9 + 0 - 4) in the form u*w**2 + i + n*w and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(330)*2)\/sqrt(10))\/(6*sqrt(48)*1).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 22921019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + 5.6. Let m = r - 6.2. Which is the closest to 0.2? (a) -3 (b) m (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 59, 4, -81, 7 in decreasing order.\nAnswer: 59, 7, 4, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9*i - 183. Let q be k(22). Suppose q = 29*f - 32*f. Sort -322, -1\/7, f in ascending order.\nAnswer: -322, f, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485719028.\nAnswer: 2, 29, 4187233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f + 20. Give j(-14).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, g: 5, x: 1, q: 1}. What is prob of picking 2 o and 1 g?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1032231212100?\nAnswer: -1032231212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64853315\/267 + -242896. Let k = -2\/89 - q. Let o = -2068\/9 - -230. Which is the closest to 0? (a) o (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 1981 - 591 - 202 - 594 - 594.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*r - 504 = -37*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 + 2*s + 13. What is i(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 645, 2375, 5259, 9297, 14489?\nAnswer: 20835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-39)\/26 - (-377)\/2. Calculate the highest common divisor of h and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -0.1, 1\/44 in decreasing order.\nAnswer: 0.08, 1\/44, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = -4*l. What is the smallest value in l, -0.2, 2\/19?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a factor of 6113965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 9:07 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvkvvkkvvkvvkrkvvvv. What is prob of sequence rvv?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/55 or 700?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 874 = 5*o - 69, -467 = 3*o + 5*v. Let s = o + 166. Solve -s*y - 6 = -2*d, 0*d = -5*y - 5*d - 35 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 38. Let p = -20 + t. Which is smaller: p or 11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 13*j - 2*j - 16*j**2 + 0*j + 4*j**3 + j = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 times -9921325\nAnswer: -1785838.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 15*x - 12. Let z(b) = 4*b**2 - 2*b - 1. Let o be z(-1). Let t(w) = 6*w - 5. Let h(c) = o*p(c) - 12*t(c). Let j(m) = m - 1. Calculate h(u) - j(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 18*s - 4 - 6*s - 5*s in the form b + l*s and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*y + 16, y - 1 = -2*z + z. Let s(k) = z*k**2 - 1 + 3 - 2*k**3 + 7*k + 4. Let i(d) = 2*d**3 - 5*d**2 - 6*d - 5. Calculate -6*i(o) - 5*s(o).\nAnswer: -2*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4198?\nAnswer: 2, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(0 - (-2 - -4)). Suppose f*n = 4*n. Sort -2, n, 1 in decreasing order.\nAnswer: 1, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14966 - 14966.081. What is the smallest value in b, 0, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-7)*-1 - (-12)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 53. Let w be (-12)\/66 - (-114)\/t. Suppose -w*y = 2*h - 22, -4 = -3*h + 3*y + 71. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*g = -69*g + 4*l + 132, -8*l = 2*g + 224 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45188\/35 - -1291. Let c = 1914.1 + -1914. Which is smaller: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + -b09?\nAnswer: -b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30\/17 - -159\/119. What is the second biggest value in 0.5, j, 8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/45, 0.16, -10509?\nAnswer: -10509","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.7, 2\/11, -0.2, -4, -134, -1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.417 - -1.583. Let h(v) = -v + 0*v + 3 + 2*v. Let c be h(-5). Put c, -5, p in descending order.\nAnswer: p, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t**2 + 5*t**3 + 36*t - 18*t - 16*t - 3*t**3 as h*t**3 + q + v*t**2 + j*t and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 84\/(-45)) + (-39797)\/(-561840)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10438040*d - 14508251 wrt d?\nAnswer: 10438040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 693 divide 209425582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443238324.\nAnswer: 2, 3, 43, 858989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264712.4 weeks to nanoseconds.\nAnswer: 160098059520000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 4:11 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -13. Suppose -45 = -38*l + 29*l. What is the second smallest value in -2\/9, l, -2\/13, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -1526?\nAnswer: -3052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/1)\/(-25 + 24). Calculate the greatest common divisor of g and 620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/5 (b) -1 (c) 0.5 (d) 19.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**4\/6 - 8*d**3\/3 - 31*d**2\/2 + 84*d. Let f be h(-4). Which is the closest to 2? (a) 5 (b) f (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 3969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (25038\/11128)\/(21\/(-8))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1045043 is divided by 1131.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m. Let k(o) = 6*o. Let l(q) = -5*a(q) + 6*k(q). Let v = 282 - 267. Let p(t) = 50*t**2 - v*t**2 - 33*t**2. Give l(p(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 540 + -41?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8916*c + 8964*c - 2497968 = 0. Is c a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5793413 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3 = -3*n, -2*d + 2*n = -3*d. Let m(f) = -f**3 - 5*f**2 - 2*f + 2. Let c be m(d). Is c\/(3 - 68\/20) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136.065 - -136. Let s = n - -0.064961. Round s to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5891, 10901, 19241, 30905, 45887?\n\"Answer: -b**3 + 1671*b**2 + 4*b + 4217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r = 0. Suppose r*h + 2 = p - h, 0 = -4*h. Let g(z) = 4*z**2 + 3*z - 2. Is 20 a factor of g(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2826)\/(-43))\/(-6) + (15 - (7 + -3))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4889, -19529, -43903, -78011, -121853, -175429?\n\"Answer: -4867*d**2 - 39*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 529368 divided by -1288?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 1629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**3\/3 - 4. Let t(h) be the second derivative of 5*h**3\/6 - h. Determine s(t(l)).\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 604 divide 353944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 120*w*z**2 + w*z + w + 155*z**3 - z**2 - 122898 wrt z?\nAnswer: 240*w + 930*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/15))**(-25)\/(p**9*p)**(-1\/43) assuming p is positive.\nAnswer: p**(890\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 12:01 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66\/10 + (-2)\/(-5). Let i be 3\/(c\/(-2) - -2). Let l be 1\/i*(-8 + -2). Solve -31 = -l*b + 4*o, -5*b + 4 = -3*o - 23 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46159646 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/186 and 89\/56606.\nAnswer: 169818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -331 + (15\/(-6) - (-1)\/2). Let z = d + 337. Calculate the remainder when z is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 0)*-5*3 - (-6*1*sqrt(180) - sqrt(180) - (2 + sqrt(180)*1 - sqrt(180)))**2.\nAnswer: -8824 - 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g**2 - 152*g - 3. What is a(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 239*s = 0. Sort -6, 4, s, -4, -2 in descending order.\nAnswer: 4, s, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 8:46 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (7 + -10 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.110153691 to 4 decimal places.\nAnswer: -6.1102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-49)\/14)\/(2\/(-4)). Suppose o = 3*a - y, 5*o - 35 = -10. Solve a*n - 15 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5159 by 737.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 13) to base 12\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1232, -5972, -13844, -24830, -38912?\n\"Answer: 3*g**3 - 1584*g**2 - 9*g + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w. Let f = 10 - 6. Let t be s(f). Is 29\/7 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**4 + 2*u - u**4 - 1 - u**3 - 2*u**3 + 2*u**3 as v*u**4 + x*u**2 + p + l*u + h*u**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from otoootoooottetetto.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -677338, -1354774, -2032234, -2709730, -3387274, -4064878?\n\"Answer: -2*w**3 - 677422*w + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-8)*2 + 1. Suppose -5*q = -m - 0*q + 201, -h*m + 846 = q. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1742*t - 1740*t - 14 = -5*q, 0 = t + 5*q - 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-12)*6\/(-27)*-84. Let v be ((-72)\/(-84))\/((-6)\/c). Suppose -v = -14*x + 10*x. Solve 7 = -4*i - x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -44, -42, -30, -2, 48, 126, 238?\n\"Answer: y**3 - y**2 - 2*y - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 1510*k**2 + 24225*k.\nAnswer: 5*k*(k + 17)*(k + 285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u*u*u**(-2\/11)*u)*u*u**(-29)*(u**(-1\/5))**1 assuming u is positive.\nAnswer: u**(-1706\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 22*n**2 - 13*n + 37. What is the tens digit of f(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*((-2)\/(-28)*-58 + 4). What is the closest to 0.1 in -2\/19, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -193\/1064700 and -173\/420?\nAnswer: 1064700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (1 + -9)) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.2, 43, -2, -61\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 349 by 83.\nAnswer: 349\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -442659630 by 987.\nAnswer: -448490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3 + -4 + 46 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 130.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 4*w + 4. Let l be j(-4). Let b be (-1 - -1) + (12 - 9). Solve b*h + l = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n + 14. Let t(c) = -1. Let q(f) = 3*t(f) + u(f). Let z be q(6). Suppose 0*l + z = 5*l - 2*d, 0 = 5*l - 3*d - 40. Which is greater: 7 or l?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(405\/(-2)))\/((-1)\/3*2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*n + 210 = -37*n. Calculate the highest common divisor of n and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56070.301 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32453995 - 32453819.99929. Let k = o - 175. What is k rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -305084 equal to -305320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33 or -35?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**4*r**2 + 130*l**3*r**2 + 6117*l**3 + 1325*l**2*r**2 - 2*l**2*r - l**2 - 7*l*r + r**2 wrt l?\nAnswer: 72*l*r**2 + 780*r**2 + 36702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.146 or -1058.6?\nAnswer: -1058.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467707 - 467707 + s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3. Let z(t) be the first derivative of -t**4\/4 - t**3\/3 + t**2\/2 + 14*t + 4. What are the prime factors of z(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -467, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/(-190)*18\/54*90\/(-35).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 38. Let y(j) be the second derivative of -j**3 - 3*j**2\/2 + 6483*j. Give y(o(v)).\nAnswer: 6*v**2 + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.03 (c) -19\/51 (d) -0.0301\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (17\/8)\/(1093763\/23396)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132936 and 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 524.91298 - 525. Round m to 3 dps.\nAnswer: -0.087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {c: 1, f: 3, r: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.8 - 12. Let t = -59.8 - -56.8. What is the nearest to 1 in k, -4, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-272)\/238)\/((-10)\/(-105))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -815 or 3\/164?\nAnswer: -815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) + sqrt(12)\/sqrt(4))*-3 + sqrt(3)*2*1)**2 + -4)*-5.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 618 + 243?\nAnswer: 85b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 4, -3*c - 4*f = -4. Let r = 9 - 3. Suppose -5*w = -c - r. Calculate the least common multiple of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w - 14591*w**3 - 5632*w**3 + 6*w.\nAnswer: -20223*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.36.\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281164, -1124436, -2529898, -4497556, -7027416, -10119484, -13773766?\nAnswer: -17990268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 4 + 0 = -b, 5*b = -5*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(66)*-1*6)\/((sqrt(30) + sqrt(60)\/sqrt(2))\/sqrt(5)))**2.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 21 = 12. Let a(d) = -2*d - 5. Let g be a(-4). Suppose 2*y = -y + g. Put -5, m, y in decreasing order.\nAnswer: m, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxx when three letters picked without replacement from {x: 2, v: 3, m: 7}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 847775*t - 47814 = 848388*t for t.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-60)\/14)*(-1512)\/(-54).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11408.999989227 + -11409. What is d rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -220000002111?\nAnswer: -220000002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70905*k**3 - 71342*k**3 + 142231*k**3.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/6)\/(5\/20). Determine b so that -2*b + 0*b**3 - o*b**5 + b**3 - 4*b**2 + 3*b**3 + 2 + 2*b**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 - 11*h + 8. Let u be c(5). Suppose 4*r - 2*g - 20 = 0, 2*g = 3*r + 7*g - u. Solve -3*b + 2*m = 4, -r*m = 2*b - 2*m - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/77187336 and -91\/77187336?\nAnswer: 77187336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1335104 (base 8) to base 6\nAnswer: -12013444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.72 and -159.\nAnswer: -1863.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-1 - -1 - 1). Suppose c = 5*c. Solve -j*h = -c*h + 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1 = 3*c. Suppose -4*a = 3*t - 53, -c = a - t - 3*t. Calculate the remainder when 41 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, x: 5, h: 3, q: 6, a: 3}. Give prob of picking 3 a and 1 h.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: -9 - (3 + (-7 - ((-12 - 11) + 2)))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 151\/4. Suppose 5*n - 35 + 80 = 0. Let o be 7 + 5 + n + 28\/(-9). What is the second biggest value in 11, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4521.7 and 38.8567?\nAnswer: 4482.8433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r**2 - 2*r + (0*r - 12*r + 5*r)*(-3*r + r + 3*r))*(4*r**2 - 2*r**2 - 3*r**2)*(9 - 9 + 8*r).\nAnswer: 64*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001663 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7697175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - 5\/35*7. Suppose 221 = -r*l + 6*l. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -39*o**5\/2 + 659*o**4\/2 + 14537*o**3\/2 + 36985*o**2\/2 - 18211*o - 7860 = 0. Calculate o.\nAnswer: -10, -4, -1\/3, 1, 393\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -1990?\nAnswer: 1985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o + 5. Let l(m) = 6*m + 14. Give -6*l(x) + 17*s(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1752 - 1195. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 6. Let x(w) = -w - 8. Let p(c) = 4*d(c) - 3*x(c). What is p(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 + -67. Suppose 5*j - 89 = -z*a, 3*a - 32 = 2*a - 5*j. Calculate the highest common factor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2, 2\/65, 27?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 4, -26.\nAnswer: -26, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 - 421*o**2 + 199*o - 2723. Calculate q(-211).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27781.01 micrograms in nanograms?\nAnswer: 27781010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 1\/3*w**3 - 13\/4*w**4 - 18*w - 2 + w**2. Find the second derivative of s(m) wrt m.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, x: 1, t: 2, a: 1, p: 1, r: 1}. What is prob of picking 1 p, 2 e, and 1 r?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 3. Let x(q) = 6*q - 14. Let w(t) = -16*r(t) + 3*x(t). List the prime factors of w(7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(3 + -7)*1. Let z be 3 + (-1 + -1 - n) + 17. Suppose 0 = -4*j - 2*p + 40, -z = -4*j - 5*p + 23. Calculate the greatest common factor of 90 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3*(-15)\/(-10) + 3. Suppose 9 = i - x*i. What is the hundreds digit of ((-447)\/6 + i)\/((-4)\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -11*j + 162. Let h be d(12). Let x be (120\/(-100))\/((-4)\/h). Solve 2*r + 1 + 1 = 2*i, -5*r - x = -i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5 + 12*i**2 - i**3 + 2*i**3 + 11*i - 2. Let z be (5 + 6)*(-1 - 0). Is j(z) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 57, 141, 253, 387?\n\"Answer: -b**3 + 23*b**2 - 12*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**2\/5 - 308*w\/5 - 5304\/5 = 0.\nAnswer: -51, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 0 - 2*m**2 + 3*m + 0*m**2 + 3*m**2 + 1. Let w be y(-4). Suppose -6*v + 103 = -w*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3308780?\nAnswer: 2, 5, 23, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auuuuuuuuuuu. Give prob of sequence ua.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = 28*k + 12*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004305 rounded to five dps?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 8 + 1. Suppose -n*i = -4*h + 26, -4*h = -4*i - i - 30. Solve r - 15 = -0*j - h*j, 4*j - r - 12 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 16*w + 170. Let t be x(-10). Solve t*h = 130 - 100 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1301, -2732, -4125, -5480, -6797, -8076?\nAnswer: -9317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 7:27 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228517, 228505, 228471, 228403, 228289, 228117, 227875, 227551?\nAnswer: 227133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/5)\/(6\/(-60)). Find the second derivative of 2*d + d**4 + w*d + 6*d**4 - 6*d**4 wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i - 13*i + 13*i + 13*i.\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 754.8618cm to nanometers.\nAnswer: 7548618000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 303833812325 less than -251?\nAnswer: -303833812576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 387*f**3 + 79*f**3 + 14*f + 218*f**3 + 18 + 33*f**3 wrt f?\nAnswer: 4302*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 572 and 3003?\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s - 3*s + 14*s - 3*s. Let y(r) = 42*r. Calculate y(q(u)).\nAnswer: 462*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11499*f + 1864*f - 818975 for f.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, 10, -0.05505, -0.1?\nAnswer: -0.05505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -2, -31 in decreasing order.\nAnswer: 0, -2, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 2*f**2 - 9*f + 25. Let k be h(3). Suppose -4*r - 56 = 28. Let g be (30\/r)\/(k\/(-49)). What is the greatest common factor of g and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31505.6 to the nearest one hundred.\nAnswer: -31500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 375 and 6075.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 + -36 + 9.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 192, 0.077, -1\/4, 2\/7 in increasing order.\nAnswer: -2, -1\/4, 0.077, 2\/7, 6, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 5466?\nAnswer: 5466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210143 is divided by 52053?\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -14766465 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32749, 32632, 32515, 32398?\nAnswer: 32281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689870?\nAnswer: 2, 5, 149, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63\/80 - -3\/80. Let x = -4 - -1. Which is the third smallest value? (a) -0.3 (b) x (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 741 (base 11) to base 15.\nAnswer: 3e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -276 + 419. Calculate the greatest common factor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.5 (b) -4.8 (c) 5\/4 (d) -1\/6 (e) 24\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/28713 and -46\/2815?\nAnswer: 143565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770585.\nAnswer: 5, 229, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-45))\/((8695\/(-9306))\/185).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 9:18 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -6.9, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1043.93 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2229495*v - 41*p = -2229490*v + 344, -3*v - 2*p - 3 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from plcrcprf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -8\/3, 356, -27\/2?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 489006, 978010, 1467024, 1956054, 2445106, 2934186, 3423300?\n\"Answer: u**3 - u**2 + 489000*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(3) - sqrt(13))*1 + ((-1*sqrt(65) - sqrt(65))\/sqrt(5))**2 + sqrt(13) + -4.\nAnswer: sqrt(13) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -87, -86, -85, -84, -83?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 i when four letters picked without replacement from mikmrckrggmmimmmmcc?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166833126 a multiple of 1115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0. Let y = -7271 - -7267. What is the closest to 0.1 in w, 3.7, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3241624887405 and -0.02.\nAnswer: -3241624887405.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 11*h + 22 - 135. Let p = 77 + -77.9. Which is the nearest to h? (a) p (b) 1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1500952588?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1389*l - 44 = -1393*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqkccnkcknkzr. Give prob of picking 2 k, 1 r, and 1 q.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1243143 (base 8) in base 9?\nAnswer: -576180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107796 - 107795.99941149. What is n rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -1\/40*x**6 + 3\/4*x**2 - 5\/8*x**3 + 3\/16*x**4 + 3\/80*x**5 - 71 - x. Let t(d) = 0. What is d?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55978 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(19) - sqrt(19))**2*-3.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 55030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 140 + -139.822. Let g = v + -0.2151. Round g to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6 - 121\/(-3). Suppose 3*u + 7 = 2*k, 5*k + 10 - w = -5*u. Solve -2 = -3*l + u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192874546 by -2.\nAnswer: 96437273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 >= 0.0493581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 22) + -42 + 35?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -122*u**5 - 65*u**5 - 7*u**5 + (-5 + 2 + 2)*(-3*u + 3*u - 2*u**5).\nAnswer: -192*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -20. Suppose 0*h - 60 = -4*h. Suppose 12 = -2*c + y*o - 0*o, 5*o = h. Solve -u + c*u = 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115c460 (base 13) to base 14\nAnswer: -9da3c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 28 = y + 2*y, 0 = 4*y - 4*u. Suppose -20 = -5*r, -y*g + 6*g - r - 26 = 0. Solve 5*v + g + 10 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1968974?\nAnswer: 2, 7, 17, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 547*a**3 + 547*a**3 - 1109*a**3.\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1878577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(-11))\/w*w*w)\/w**(-8))\/((w**(-3)\/w*w)\/w)**(2\/11))**(-2\/33) assuming w is positive.\nAnswer: w**(-478\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29463354 to the power of 1\/2, to the nearest integer?\nAnswer: 5428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) - 45\/(-20). Let l(f) = 2*f**3 + f**2 + f - 1. Calculate the remainder when l(x) is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knlkklklrkl. Give prob of picking 1 l and 1 k.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kowruuh. What is prob of sequence orhw?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 213 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*r**2 + 499234*r - 31*r**2 - 499236*r - 1729 as k*r + t*r**2 + a and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 561988*s**4 + 20*s**3 - 11886224*s**2 wrt s.\nAnswer: 13487712*s + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 127296 and 949.\nAnswer: 9292608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 3*m + 9 - 2*m - 4. What is the remainder when c(5) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1277 and 10.\nAnswer: 12770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3911*d + 5*d**2 - 7823*d + 3912*d.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**5\/15 - 1138*b**4\/27 - 758*b**3\/27 + 3373*b. Let o(r) = 0. What is r?\nAnswer: -379, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 97, 193, 289, 385?\n\"Answer: 96*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1086 (base 9) to base 6\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 12:16 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 + 122 = -6*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 27 = -12, -14 = -3*m - 2*j. What is the lowest common multiple of 6 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 7 - 2 - (-9 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 - 16*j + 5. Let t(b) = -4*b**2 + 15*b - 4. Determine -5*m(o) - 6*t(o).\nAnswer: -o**2 - 10*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from cwcwwqcgvgcgcc.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 331363815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r. Let d be 2*(10\/4 + r). Solve 0 = -0*o - 5*o + d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -639 - -635. Let z = -1.2 - -1. Sort -7, z, g in ascending order.\nAnswer: -7, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.3 - -4.3. Let y = f + 6. Sort y, 0.2, -0.7 in decreasing order.\nAnswer: 0.2, -0.7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/36074 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -61.\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -1. Let c be 3\/15 + 27\/15. Sort c, -1\/2, v.\nAnswer: v, -1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/5 (b) 0.3 (c) 8\/25 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1 - 2 - 4 + 1 + 2*o. Let l be c(6). Let q(m) = 9*m**2 - 4*m + 8. Let i be q(l). Calculate the highest common factor of i and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 3:02 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - 18) + (-21 - 6) + -3 + 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.88 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - k - 1)*(-8*k**4 - 6 + 6) + 36*k**5 - 19*k**5 + 24*k**5.\nAnswer: 49*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 394 - 204. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-1))\/(168\/24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 16. Let w be o(5). Suppose -1 - w = -4*c. Solve 2*v - 5*z - 5 = 0, 3*v = -4*z - 1 - c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2655056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/27 and (-2)\/6 + (-1170)\/(-54).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 478 divided by 12\nAnswer: 239\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15525.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.02, 0.4, -47, 1\/5, -15, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -53*m**2 + 10*m - 5. Let l(p) = 105*p**2 - 18*p + 9. What is -5*l(n) - 9*o(n)?\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (13 + -5 + -1 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -19*q + 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/174*(289\/97 + 298\/14453).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1450416 and 3280?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/32 and 18\/(-20)*(-6)\/(144\/44).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8190837*o**4 - 688*o**2 + 229*o wrt o?\nAnswer: -196580088*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3522 + 387. What are the prime factors of o?\nAnswer: 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093385833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 + -0.16. Let h = -4468 + 147442\/33. Which is the second smallest value? (a) h (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s**3 - s**2 + s. Suppose -5*c + 11*b - 8*b = 23, 0 = c + b + 3. Let k(y) = 11*y**3 + 2*y**2 - 2*y. Give c*v(l) - 3*k(l).\nAnswer: 7*l**3 - 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -51*j. Let r(m) = 5*m. Determine -4*n(q) - 42*r(q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 15*i + 2. Let k(x) = -2*x - 16. Let g be k(-11). List the prime factors of z(g).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 x, and 1 a when three letters picked without replacement from {j: 1, r: 3, x: 6, u: 2, a: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 1332 = -u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2 + 0 - g - 1. Let q be k(1). Suppose q*u - 40 = -4*u. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19)*-2 + 5 + 5)**2*2 + (-5*(-1 + sqrt(1539)) + 0 + sqrt(1539) + 1 + sqrt(1539) + sqrt(1539))**2.\nAnswer: -304*sqrt(19) + 6586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*v + 30*v - 10*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 55.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 1710*p - 3424.\nAnswer: (p - 1712)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + 2*j - 7. Let q(p) = 3*p**2 + p - 6. Let b(r) = -4*c(r) + 5*q(r). Let d be b(-1). Solve w = -d*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4835*q**4 + 4797*q**4 + 2*q - 4*q)*(3*q + 2*q - 6*q).\nAnswer: 38*q**5 + 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3, -2\/69, 21, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 106, 227, 382, 589, 866, 1231, 1702?\n\"Answer: 3*n**3 - n**2 + 103*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 15 - (148 - 161)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 55560.\nAnswer: 55560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/8 + 7605*o\/8 + 1901\/2.\nAnswer: (o + 1)*(o + 7604)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -15.8. Let t = 1.2 - d. Which is the nearest to 1\/2? (a) -3 (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -35*i**2 + 7*i - 505. Let m(t) = 24*t**2 - 5*t + 337. Let c(p) = 8*m(p) + 5*u(p). What is the first derivative of c(g) wrt g?\nAnswer: 34*g - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/512 and 91\/1024?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - g - 2. Differentiate 2*z**4 + 3 + z**4 - g with respect to z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 12*y + 28. Let h be m(-9). Suppose 7*t - 6 = h. Let r = 9 - t. Solve -6*x = -2*x - r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 2, 14, -2 in ascending order.\nAnswer: -2, 2, 14, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 165\/(-12) + (-2)\/8. Suppose -3*y + 6 = -2*y. What is the least common multiple of ((-18)\/21)\/(2\/c) and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 1. Let r(v) be the second derivative of -3\/2*v**2 + 7*v + 0 + 1\/6*v**3. Determine -2*r(l) + 4*s(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -297\/20 - -61\/4. Let i = -0.3 - -0.1. Let g = 6.5 + -1.5. What is the closest to 1 in g, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 77*c**4\/24 - 2*c**2. Let q(i) = 6672565*i + i**2 - 6672565*i. Determine h(q(g)).\nAnswer: 77*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 less than -25?\nAnswer: -599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75\/2 of a litre?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2\/9 (c) -0.01 (d) -0.1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-10)\/x))\/(x\/(x\/(x\/(x*x**(-6)))*x*x))*(x*(x**(-2\/5)*x)\/x)**(-21\/5) assuming x is positive.\nAnswer: x**(137\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 + 1408*f**2\/5 - 2*f\/5 - 1408\/5.\nAnswer: 2*(f - 1)*(f + 1)*(f + 704)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 138841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1270 - -2392. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*a**2 + 30*a**2 - 99*a**2.\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -91, -64, -37, -10, 17, 44?\n\"Answer: 27*b - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*y - 1 = 13, -2*y = 3*b - 31. What is the derivative of b*z**2 + 1114*z - 1114*z - 9 wrt z?\nAnswer: 26*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 882, 1987, 3110, 4257, 5434, 6647, 7902, 9205?\n\"Answer: p**3 + 3*p**2 + 1089*p - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 4*s**2 + 12*s + 8. Calculate the lowest common multiple of 28 and z(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (-24)\/(13 + -10). Let j(q) = q**2 + 16*q + 40. Give j(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1380 and 265880.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1014 + -405. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 12\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 - (10 + -4) - 16) + (-12 - -2) - 6.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-32))\/(2\/(-16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.4 - -27.4. Let m = -2 + 23. Let x = h - m. What is the second smallest value in 1\/4, 2\/3, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -544 + 549. Sort 3, -32, -3, t.\nAnswer: -32, -3, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1019*z - 638190 + 629019 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -598*k + 623*k - 1425 = 0. Calculate the greatest common divisor of k and 72.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/(7770\/9))\/(42\/(-35))*63\/(-12).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a factor of 46468152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w - 4*g - 186 = 0, -4*w - 29*g - 52 = -26*g for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -12. Suppose -110 = -5*z + o + o, 0 = i*o + 10. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/212, 0.1, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 3*k = 15, w + 5*k - 15 - 10 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, g: 1, r: 1, l: 1, m: 1}. Give prob of sequence rjg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3205, -6484, -9833, -13252, -16741, -20300, -23929?\nAnswer: -27628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 251609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 310 by -31.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1097599517 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.2 + 17242838.\nAnswer: 17242835.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -1122*o + 4437. Let m(s) = 299*s - 1109. What is 4*b(d) + 15*m(d)?\nAnswer: -3*d + 1113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.3354.\nAnswer: -1.0062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/(-5) + -5*(-13 + 12). Which is the closest to -0.2? (a) -2 (b) 1\/5 (c) g (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 252.6 (c) 18 (d) -2\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-8) + -1 - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.046 - -23.546. Let z = p + -38. Let i = z - -14. Sort 0.1, i, 0.3 in increasing order.\nAnswer: i, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**3 + 7*q**2\/2 - 2*q. Let c(a) = -5*a - 6. Let j(h) = -7*c(h) - 6*x(h). Let m(v) = 10*v. Calculate j(m(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 1433*f - 23 + 1694*f - 681*f to the form l + m*f and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*b - u - 17, 2 = -b + u. List the prime factors of ((-807)\/b - 1)*2.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -1\/35*v**5 - 6\/7*v**2 - 18*v - 5\/21*v**4 - 2\/3*v**3 + 0. Factor y(s).\nAnswer: -4*(s + 1)**2*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 10335399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3036 + 5568 = -239*w for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72717 + 72717 - 7*q**3 + 8*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 6. Let p = 15 - 10. Suppose 0 = p*q + 12 + 3. Sort q, g, -2 in decreasing order.\nAnswer: g, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h**(1\/7))*h*h*h**(-2\/7)\/h)**42\/(h**(-2\/5)\/(h\/h**(-3)))**17 assuming h is positive.\nAnswer: h**(704\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + sqrt(720)) - (sqrt(720) + 3 + sqrt(720) + 1))**2.\nAnswer: -384*sqrt(5) + 2944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1481*q + 50738 + 45421 = 206*q for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 9:01 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62 and 76.\nAnswer: 2356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1243 - -12?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p - 42. Determine z(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2. Let j(y) be the second derivative of 49*y**4\/12 + y**2 + 4725*y. Calculate q(j(x)).\nAnswer: 4802*x**4 + 392*x**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-3) + (-90537)\/16068 + 1\/4.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/3 - 2\/(-3). Let r = 12 - a. Find the first derivative of 0*c**r + 2*c**4 + 3 - 5 wrt c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -165\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 122343 (base 6) to base 12\nAnswer: 63b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4433953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -21121220 (base 3) in base 10?\nAnswer: -5559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 44 = 2*j - 34, -3*j + 54 = 3*k. Solve -2*a + 4*q + 3 = -3*a, k = 3*a - 3*q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 6:49 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014604373 to 6 decimal places.\nAnswer: -0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuzu when four letters picked without replacement from nuuuuuuuuuuznnz.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 18\/5 + -1. Is w smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 4. Let c(f) = 47*f**2. Give c(l(g)).\nAnswer: 188*g**2 - 752*g + 752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 70943575 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - 0 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -144*q + 158*q + 56 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2. Let p(x) = x**3 + 5*x**2 + 2*x + 5. Let h be p(-5). Let b be (20\/h)\/(0 - 2). Let a(c) = 0*c**2 - 3*c**2 + c**b. Determine a(j(s)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 58, 58, 56, 52?\n\"Answer: -x**2 + 3*x + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5288360 divided by 34?\nAnswer: -155540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 21. Which is the second smallest value? (a) p (b) -0.5 (c) 3\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from noooonnonnonoonnonn. Give prob of picking 1 o and 1 n.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 n when four letters picked without replacement from {n: 7, h: 7, y: 1, u: 1}?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2842495 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 4737.\nAnswer: 4737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1600 and 512?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r + 84 = x, -x = -5*r - 436. Let c = -80 - r. Solve 1 + 7 = -c*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1 + 2 - v - 3 + 3. Let q(k) be the second derivative of 5*k**3\/6 - k**2\/2 + 451*k. Determine -3*i(g) - q(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.38 rounded to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 21*m + 242. Calculate j(-16).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2\/7 - 1855272*g - 12986901\/7 = 0. Calculate g.\nAnswer: -4328967, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1524852 and 669816.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 645*b + 58981 + 22107 = -26627. Sort b, 2, 3, 1 in decreasing order.\nAnswer: 3, 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/35 (b) -2 (c) 7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1388957+124906435\nAnswer: 123517478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 50068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7228 - -7197.19. Let z = -35.656 - g. Round z to 1 dp.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {e: 1, k: 6, b: 4}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 208.44.\nAnswer: 83.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l**(2\/33))\/l))**(-1) assuming l is positive.\nAnswer: l**(-31\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 - 44 - 15 + 233)*(9 - 5 + 3 + (0 - 1 + 0)*(-4 + 4 - 2))*(1 - 9*d - 1).\nAnswer: -18387*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u = -8. Suppose -c - u*c - 3*t + 426015 = 0, -4*c + 567995 = -t. What is c rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002737 to 7 decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/3 and -7\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4169 = -5*u, -2*u - 85*k + 80*k = -1641. What is the remainder when u is divided by 414?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3711 + -3700. Solve 49*p = r + 185 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3c3c (base 16) to base 6\nAnswer: -155220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49752, -198553, -446406, -793305, -1239244, -1784217?\n\"Answer: h**3 - 49532*h**2 - 212*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04717 and 0.26.\nAnswer: 0.0122642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 5. Let v(o) = o**3 - 41*o**2 + 63*o - 925. Let j be v(40). Sort -2, u, 6, j in ascending order.\nAnswer: j, u, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.061 - -24.061. Let s = a + -23.87. Let b = 0.9 + -0.8. Which is bigger: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2\/5, -0.2995?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -208, -217, -208, -175, -112, -13, 128, 317?\n\"Answer: h**3 + 3*h**2 - 25*h - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5742385 and 2040320.\nAnswer: 3985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7520 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*401.51131\nAnswer: -120.453393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -723*c - 712*c - 26 = 4*v - 1433*c, -4*v + 6*c = -110 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3058, -3073, -3050, -2971, -2818, -2573, -2218?\n\"Answer: 3*s**3 + s**2 - 39*s - 3023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6142329 and 1043037.\nAnswer: 55280961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 4*p**2 - 5*p + 2. Calculate the remainder when (-3 - 0 - -1) + 4 is divided by q(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**6\/540 + 17*f**5\/270 - 10*f**4\/27 - 100*f**3\/9 + 156*f**2. Determine d so that k(d) = 0.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, 0.2, 2, 4, 463?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 6. Let c be 22\/(-14) - (1 - 2). Let r = -158 + 154. What is the nearest to c in 4, r, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 9:46 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1170\/273)\/(9\/21).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 - 8*t**4 - 10*t**4 + 788 - 683 in the form c*t + i*t**2 + s*t**4 + w*t**3 + d and give d.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 17 = 595. Suppose -v + 17 = -l. Suppose w = 7*w - v. What is the remainder when w is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55749714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-3 + -6)) + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -44. Suppose -y*r = -6*r. What is the nearest to 1 in 3, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 7*n**2 - 5*n - 5. Let l be j(6). Let c = -374 + 378. Let z be 96\/40 - c\/10. Solve -2 = -2*t - 2*d, 0 + l = -5*t - z*d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*v + 80 = 136*v - u, 0 = -399*v - 5*u + 22158 - 5380 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 12*o = -29*o - 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*v - 6 = 4*t, -3*t + 14 = v. Suppose 5*k + 5*u = 200, t*k - 2*u + 0*u - 115 = 0. Suppose -2*n - 15 + k = 0. Solve 0 = -5*o + n - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4371222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7872 and 1344?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 10 = -t - 3*j, 4*t + 2*j = -8. Let u be t*2\/4*-4. Let q be (-134 - -148) + (-2 - 9). Which is smaller: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 7. Let r be g(-6). Let p = 5 + -8. Let i = r - p. Solve y + i*y = 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*c - 17*c - 15*c)*(0 + 0 - 1).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1770 + -896. Calculate the least common multiple of j and 115.\nAnswer: 4370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i - 7. Let y = 1159 - 803. Suppose 2*k + y = -w, 2*w = -k + i*w - 200. What is k rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -15*k**3 - 2*k**2 - 2*k. Let c(y) = 14*y**3 + 3*y**2 + 3*y. Give 2*c(o) + 3*x(o).\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -23*v + 290. What is h(13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223320411211 + 2?\nAnswer: -223320411204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -1.9 (c) -2 (d) 2\/7 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.43 - 2.42. Let n = a + 0.89. Let w = 3 - 1. What is the nearest to n in w, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from saasyyasscaysyyys. What is prob of sequence csa?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 12*b - 4. Let n be u(-11). Suppose 4*x = -n*x + 44. Solve -7*v + x*v - 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (12 + -4 + (-12 - -4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let b(p) = -5920*p. What is f(b(y))?\nAnswer: 5920*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16a + 16727?\nAnswer: 16891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 81*u**2 - 75*u + 1. What is i(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(272) + 0 + -3 + (sqrt(272) - 2*sqrt(272))*-3)**2 + 1.\nAnswer: -13082 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11190 divided by -5?\nAnswer: 2238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2601 - -4509. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.2 + -6.9. Let k = -3.98 + 0.28. Let x = k - i. What is the third smallest value in x, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 25 = 71. Calculate the least common multiple of l and 36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6221 = 3*u, -2*u + 7*u - 3*x = 10349. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 14*k - 21. Let b be l(12). Suppose -b*u = 10 - 28. Suppose -u = -3*z, 0 = 3*m - 2*m - 5*z + 9. Solve -m = 4*q + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckcc when four letters picked without replacement from ccccccckck?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.6 + -2.3. Let q = 2.01 - 1.21. What is the nearest to w in 4, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26865 + 42617. What are the prime factors of i?\nAnswer: 2, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -119a53846 - 3?\nAnswer: -119a53849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ouolluomuu. What is prob of sequence muuo?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128.9475 - -132. Let r = q + -0.0425. Round r to one decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/6)\/((-26)\/178737) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41087381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -x + 7, 4*r + x + 11 = 6*x. Let h be -2*(-2)\/(r\/(-5)). Suppose -m = 6*t - h*t, -m = 5*t + 12. Do -3 and t have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6004837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -8*j**3 - 4*j**2 + 9*j - 7. Give y(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-20)\/(-24)*2. Suppose 0 = y*h - 8*h. Let x be h\/(-2 + 0) - 910. What is x rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*u = -8*u + 58*u + 969 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, -0.448, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/742935 and 113\/24.\nAnswer: 5943480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -444 (base 5) to base 4\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**3 + 84*o**2 + 12 - 6*o**3 - 84*o**2 - 7*o to g + t*o**2 + j*o**3 + i*o and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3 - (-11)\/3. Factor 4*z**4 + 3*z**2 + 0*z**2 + z**3 - 5*z**4 - 2*z**u + z**5 - 2*z.\nAnswer: z*(z - 2)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.50605 + 6.5. What is n rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 + 7*r - 7*r. Let o(q) be the third derivative of q**4\/12 - 4*q**2. Give f(o(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148143578?\nAnswer: 2, 11, 41, 164239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppnepppnppnnpn. What is prob of sequence pppp?\nAnswer: 33\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1830610, -1830539, -1830466, -1830391?\n\"Answer: n**2 + 68*n - 1830679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 282063937 to the nearest integer?\nAnswer: 16795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -249*x - 424. Is 13 a factor of c(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3159*y**3 + 3160*y**3 + 2*y**4 + 1 + 3*y - 2*y**2 - 6316*y**3 as n*y**4 + g + c*y**3 + d*y + z*y**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**2 - 85123784*d + 452878662654916 = 0. What is d?\nAnswer: 10640473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 - 20 - 4 - 13 - 3*u**3 - 10 + 16.\nAnswer: 2*u**3 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 3. Let r be k(-7). Suppose 0*p - 4 = -r*p. Let d = p - 2. Which is the closest to d? (a) 1 (b) 0 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 289649 and -2066?\nAnswer: -598414834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 8*p**2 + 2*p + 5. Let i(j) = -j**2 + 10*j - 11. Let m be i(8). Let k be t(m). Calculate the greatest common factor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 73*s - 78*s = -20, -s + 3 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13323 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.15999986 - 0.16. What is u rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-175)\/(-6))*14)\/(29\/((-7395)\/68))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15439933 - 18.2.\nAnswer: -15439951.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-36)\/(-3))*(-542)\/271.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 4*k + 3*k + 24, -4*n = -4*k. What is the third derivative of -7*p**4 - 8*p**2 + 3*p**n - 4*p**4 - 9*p**2 wrt p?\nAnswer: -192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d = 8*d + d - 1577900. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -58. Suppose i = -11*t + t + 14230000. Round t to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 845213?\nAnswer: 397, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15306 + -15301. Let g(l) = 10*l - 5. Let q(a) = 21*a - 11. Give i*g(u) - 2*q(u).\nAnswer: 8*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*n, 2*n = 4*m + 3*n - 16986. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281524?\nAnswer: 2, 70381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17089, 19461, 21833, 24205?\nAnswer: 26577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1618881737 is divided by 7026?\nAnswer: 7025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(11) - sqrt(11)) + 5 + sqrt(396)\/sqrt(4).\nAnswer: 5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 13*n**2 - 9*n - 3. Let l be b(13). Let r be (12\/10)\/(18\/l). Let z be 4\/(-16) - (-2)\/r. What is the second biggest value in -0.3, z, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 0 + 0*k - 1\/60*k**5 + 5\/24*k**4 + 2\/3*k**3 - 121*k**2. Give g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -2049676.56?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*x + 4, -4*z + 26 - 4 = 5*x. Suppose 0 = 2*i + 4*u - 15 - 7, x*i - 37 = -u. Let q = i - 19. Solve -3*y - 2*v = q*y - 6, -6 = -2*v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {m: 2, x: 3, j: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28606 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 4*j = -56, -n + 268*j - 266*j = 1 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*2*(2 - 3). Suppose -10*t = -3*t + 14. Put t, -1, n in ascending order.\nAnswer: t, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2416297435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 - 3*x**4 + 14*x**4)*(5 - 6*x - 7 + 10*x).\nAnswer: 36*x**5 - 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2041 + -2039. Solve -a*i + 8 = -0*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -219 - -336. Calculate the remainder when 223 is divided by s.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 996.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 239?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/130507 < -59\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 18359474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 121 (b) -0.06 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245*s**3 + 568237950*s**2 - 324707340*s + 46386760.\nAnswer: -5*(s - 2319338)*(7*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 6 = -21. Let x(v) = v + v - 10*v - c*v. Let g(i) be the third derivative of i**5\/30 + 4*i**2. What is g(x(j))?\nAnswer: 242*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 = 5, 3*k - 5*x - 347 = 0. Let m = -564969 + 565026. Calculate the greatest common divisor of k and m.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 71 - (-6 - (-16 + (6 - 2 - -5)))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 85*h**4\/4 + 65*h**3\/6 - 39*h. What is the second derivative of t(a) wrt a?\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 246270010?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 317351 (base 10) in base 7?\nAnswer: 2461136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 - (-49 + -25) - (1 - 17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.07 + -7.7. Let n = 0.63 + i. Which is the closest to n? (a) -2\/7 (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/15)\/(0 + (-6)\/(-45)). Suppose -q*p - 3 = 9. Does 3 divide (-3)\/2*6*p\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 833013 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5100000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6195 is divided by 617.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 9*q**2 + 2. Let g be a(9). Suppose -2*c = g*c + 120. Let f be 4\/(-16) + c\/8. Sort -1, 2, f.\nAnswer: f, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0056355977 to 5 dps.\nAnswer: -0.00564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*d - 4, 2*d = d - 3*k - 12. Suppose d + 1 = w, -3*c = -4*w - 143. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-17))**(-5\/16) assuming k is positive.\nAnswer: k**(-45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - l**2 + 3. Let d be m(0). Suppose 3*v - d*u + 6*u = 24, 5*u = -2*v + 19. Suppose 3*r - v*r + 356 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77857.9 decades to millennia.\nAnswer: 778.579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by -69110?\nAnswer: -26\/34555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1)*q*q*q**0*q*q**(1\/11)*q*q*q**(1\/10))**45 assuming q is positive.\nAnswer: q**(5139\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12*z**4 - 64*z**3 + 424*z**2 - 804*z - 8. Let t(q) = 14*q**4 - 62*q**3 + 425*q**2 - 805*q - 10. Let m(x) = 5*i(x) - 4*t(x). Factor m(k).\nAnswer: 4*k*(k - 8)*(k - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4}. Give prob of sequence qq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4794121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -874600 to the nearest ten thousand.\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -674252366?\nAnswer: -674252366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -8. Let r be -123*11\/429 + (-4)\/(-26). Does r = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 2*j**2 - 5*j + 6. Let f be m(4). Let g(a) = a**2 + 5*a - 6. Let y be g(4). Let t = y - f. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-139 + 68 - 3)*(-2*t + t + 2*t + (2 + 0 - 3)*(2*t - 2*t + 2*t) - 3*t - t + 3*t)*(-3 - 2 + 4) in the form m*t + z and give m.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 6 = 5*m. Let p be 11\/(6\/m*4\/8). Let y(q) = 6*q**3 + 11*q**2 + 11*q - 11. Let f(d) = 2*d**3 + 4*d**2 + 4*d - 4. Calculate p*f(h) - 4*y(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 370, 369, 368?\n\"Answer: -w + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3\/3 - 172586*w**2\/3 - 172592*w\/3 + 345176\/3 = 0. What is w?\nAnswer: -2, 1, 86294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160893533?\nAnswer: 23, 73, 79, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24227? (a) -1 (b) -1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2\/2 - 195*k\/2 - 100.\nAnswer: 5*(k - 40)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/3 - 83*p**3\/3 + 560*p**2 + 588*p.\nAnswer: p*(p - 42)**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12494 divided by -6247\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1051 or -1244?\nAnswer: -1244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16085479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + -3 + 4*(0 + 0 + sqrt(2448))*3)**2 + -3.\nAnswer: 288*sqrt(17) + 352505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120330 - 22?\nAnswer: 120302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 1 - 19 + 10*v**2 + 4 + 7.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 75. Let l = 48 - t. Which is the smallest value? (a) -2\/3 (b) l (c) 2\/5 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1554 + 775.65762.\nAnswer: 775.81302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 4 + 0*i - 3 - 5*i. Let g be (1\/1)\/(5\/25). Suppose q = g*q - 16. Give x(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -3481*g**5\/60 - 4405*g**3\/6 + 64*g**2 - 4*g. Find the first derivative of h(j) wrt j.\nAnswer: -6962*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 22*n - 2*n)*(-n - 1 + 1 + (n - 1 + 1)*(4 - 4 + 2) + 4*n - 3*n - 2*n + 0*n - 4*n + 5*n + 2*n + 0 + 0) to z + i*n + v*n**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 - (-2 - (1 + -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 195\/50 - (-157)\/29830.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -4. Let z(l) = -4*l + 1. Let o be z(1). What is the remainder when -33*(o - 24\/(-9)) is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101000100000111 (base 2) to base 13.\nAnswer: 77c14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**4\/4 - 4*v**3\/3 - 7*v**2 - 45*v - 141. Let m be y(7). Solve 2*w - z = 0, -m*z = 2*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4852 take away 0.041?\nAnswer: 4851.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by (26\/(-5))\/(-2*(-4)\/(-40))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 2724*z - 2730*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4274183 tonnes?\nAnswer: 427.4183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4272\/(-4984) - (-72993)\/79695) + 6\/(-90).\nAnswer: -2\/253","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 4:45 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4313650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -45012947?\nAnswer: -45012944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1926.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*r - 241*r + 288 = 0. Calculate the smallest common multiple of r and 15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k - 0*k. Suppose 0 = w - 0*w - 2. What is the highest common factor of w and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, l: 8}. Give prob of picking 1 g and 2 l.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from {o: 8, c: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426*g**2 + 3*g**3 + 2*g**3 + 426*g**2.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 9. Let m be i(2). Let l(j) = -6*j**2 + m - j**2 + 5*j + 9*j**2 + 21*j**2. List the prime factors of l(-2).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37336.\nAnswer: 2, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 12:44 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 7\/2*u**2 + 5\/4*u**3 + 7\/4*u - 1\/2 = 0.\nAnswer: -2, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y - 4*y = -280. Suppose -y*r = -27*r - 429000. Round r to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 776752\/11 = -1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**17\/o*o)**(-2\/25)*o**(-2\/25)*o\/o**(-23))**(22\/5) assuming o is positive.\nAnswer: o**(12408\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -85*d**7\/7 - d**6\/2 - 218*d**3\/3 + d - 188. What is the third derivative of v(a) wrt a?\nAnswer: -10200*a**3 - 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 21 + 1 - 1 - 2 + 2 + (6 - 3 - 4)*(6 - 3 - 4))*(0*x - 3*x + x)*(2 - 2 - 1)*(-2*x + 0 + 0)*(4 - 12 - 11) to the form v*x**2 + u*x + d and give v.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13731 + 5?\nAnswer: 13736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 2. Let y = a - 2. Suppose 6 = 5*z - 3*z - w, -z + 3*w - y = 0. Calculate the greatest common factor of z and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 26*i**2 - 2*i - 4. Calculate c(2).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from {b: 2, g: 1, h: 8, l: 2, i: 1, r: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 4*h**2 - 3*h + 1. Let w = 3 - 1. Suppose 0 = w*i - 6 - 4. What is the remainder when i is divided by q(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 1, c: 1, w: 1, g: 1}. What is prob of picking 1 j and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 5*u + 17*u - 3248 = 0. Calculate the remainder when u is divided by 42.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 901973, 1803948, 2705923, 3607898, 4509873, 5411848?\nAnswer: 6313823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13823257\/400 + 34558. Find the common denominator of y and 113\/250.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**5 + 1084*b**4 - 4296*b**3 + 6424*b**2 - 4276*b + 1068.\nAnswer: -4*(b - 267)*(b - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 101. What is z(0)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**6\/120 - 7*p**5\/60 - 7*p**4\/12 - 13*p**3\/6 - 2869*p**2. Calculate v(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2776?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*l - 19. Let c = -12 - l. Are 3 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, n: 6}. Give prob of picking 3 l.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.11 (b) 4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.067 (b) 6\/5 (c) -0.3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*o**5 + 2*o**4 - 27253*o**3 + 2*o + 463290 wrt o.\nAnswer: -160*o**3 + 24*o**2 - 163518*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*y - 7, 2*p - y + 5*y = 6. Suppose 2*o + x = -1, -14 = -3*x + p. Let g be -8*(3\/6 - 0). Sort g, o, -5 in decreasing order.\nAnswer: o, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302230261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3*n**5 - 3 + (-3*n**4 + 6*n**4 - 2*n**4)*(-3*n + 5*n - 4*n) - 3*n**2 + n**5 + 3*n**2 + (4*n - n - n)*(-2*n**4 - 3*n**4 + 2*n**4).\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-270000)\/(-75))\/(-72))\/((3\/(-3)*-4)\/(-2)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -463\/838 - -22\/419. Let j = 1.7 - 1.79. Let v = j + -0.01. Which is the closest to 0.2? (a) 2 (b) d (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002 minus 138893.606?\nAnswer: -138893.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 4*k. Let v(p) be the third derivative of p**4\/12 + p**2. Let c be v(1). Solve 0 = c*f - k - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1406986 is divided by 2499.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2928.55 + 3595\nAnswer: 666.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3011985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6239 is divided by 6234?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**3\/7 - 643*d**2\/7 + 36620*d\/7 + 333600\/7 = 0.\nAnswer: -695, -8, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(-2\/23)\/(s\/(s*s**8)*s\/((s**(-8)\/s)\/s*s*s))*((s\/s**(-1\/3))\/s*s)**(-2\/9)\/(s**(-1)*s\/s**(-2\/9)) assuming s is positive.\nAnswer: s**(-889\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -3, -16, -0.083, 2 in decreasing order.\nAnswer: 13, 2, -0.083, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 3:43 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 5*p - p)*(-3 + 2*p + 3) + 3*p**2 + 3*p**2 - 5*p**2 + 201*p - 201*p + 46*p**2.\nAnswer: 51*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313472 is divided by 2373.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/80, -4, 3, 0.07, 1, -4\/7?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - (48 + (-48 - -4) + 10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21671 divided by -3?\nAnswer: 21671\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-244)\/427*(-105)\/(-1590)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4129 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -75846, -151674, -227502, -303330, -379158?\n\"Answer: -75828*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 5:24 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 7:44 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.114549148 rounded to 3 dps?\nAnswer: 1.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -328 - -440. Let m(q) = 3*q**2 - 5*q - 4. Let h be m(-3). Suppose -4*k + 4*i = -i - h, -3*k = 2*i - 17. Calculate the highest common divisor of l and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11043823 or -11043847?\nAnswer: -11043847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13806 + -13544. Calculate the remainder when 1558 is divided by d.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-72280)\/(-45) + (-2)\/9. Let c be -9 + 7 - (-3 - a - 3). What is c rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 4*n + 24, 5*r = -2*n + 12 + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 93354.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 (base 7) in base 3?\nAnswer: -2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100102 - 2122212?\nAnswer: -11000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 x when three letters picked without replacement from {x: 9, a: 2}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4605 = -14*q + 9*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8885 times -0.4?\nAnswer: -0.3554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 17. Which is the third biggest value? (a) -1 (b) 4 (c) 0 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3918\/20 + 39\/390 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6318, 6316, 6314, 6312, 6310?\n\"Answer: -2*v + 6320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12322334 (base 5) to base 15.\nAnswer: -259ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*s - 2093 = 37*s + 1308 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s. Let x(b) = 8*b + 39*b**2 - 8*b - 52*b**2. Calculate x(p(g)).\nAnswer: -325*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 170766 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*i - 15*i**2 + 345*i - 119*i + 13*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.832 and 2?\nAnswer: 15.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3857557 divided by -350687?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.1 + -2. Let g = h - 5.1. Let c = 229 - 226. What is the nearest to -0.1 in c, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 203*p**3. Let q be n(1). Suppose 0 = -2*l - 3*f + q, 3*f = 4*l - 395 + 16. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 1:14 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + -8 + 18 - 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 13. Suppose 0 = 2*c + 104 - d. Let q = c - -622\/13. What is the closest to 2\/9 in q, 0.5, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13985919.118 to the nearest 1000.\nAnswer: -13986000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 232904 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/2920 and 33\/292.\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 14. Let u(q) = -2*q - 4. Let s be u(-3). Let h be (-3)\/(-6)*1*s. Which is the nearest to -1\/2? (a) h (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -38. What is the highest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**3 - 6*u**2 - u - 2. Let v(f) be the first derivative of 7*f**4\/2 - 17*f**3\/3 - 3*f**2\/2 - 6*f + 6. What is 6*v(g) - 17*w(g)?\nAnswer: -g**3 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 1:26 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090 less than or equal to 1096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-8)\/32*1*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 f when three letters picked without replacement from wfwwffwpwwpffwff?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 163775177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -7, -35, -555 in decreasing order.\nAnswer: 6, 0, -7, -35, -555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*j**2 + 210660*j + 140436 = 0. Calculate j.\nAnswer: -23406, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**3\/3 + 2233. Let m(q) = -3888*q**2. Determine u(m(p)).\nAnswer: 15116544*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2565\/1457 at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29529 and 6948.\nAnswer: 118116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152)*-3 + -4)**2 - (-2 + (sqrt(24)\/(-2*sqrt(12)) - ((2*sqrt(2))**2 + -5))).\nAnswer: 1153*sqrt(2)\/2 + 10389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41.6 and 3.\nAnswer: -124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - ((-72)\/10)\/3. Let b be (-3)\/12 + 58\/8. Suppose -2 + 9 = b*w. Is j smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1101279582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10339578647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-15))\/(3\/(-495)). Suppose -4*n - 5*c = -38, -2*c - w = -3*n - 15. Suppose 24*r + 20*r = 5*r. Solve n = -3*t - r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*p + 0 + (-1 + 1 - 4)*(4*p - 3*p + p).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/472 and 83\/590.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 12:02 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -14*o - 6. Suppose f + 36 = -f. Let k = f + 14. List the prime factors of l(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.2 (c) 143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(5\/25) - 3. Solve -r*k + m + 4*m + 4 = 0, -4*k - 4*m - 20 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2 + 7*r - 3*r - 7*r - r. Let k be z(1). Does k = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 7:11 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5865 and 480585.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -103141 times -108\nAnswer: 11139228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -114, -115, -116?\n\"Answer: -v - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 850.966 microseconds?\nAnswer: 0.000850966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -377 - -381. Suppose 4*o + o - u*v - 152 = 0, 0 = -2*o - 5*v + 41. Calculate the greatest common divisor of 12 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (520\/50)\/(-13)*3\/(-48). Let h(q) be the second derivative of 1\/3*q**3 + 0*q**2 + b*q**5 + 0*q**4 - 3*q + 0. What is h(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from ekentnnnnenntmndkk?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 7. Calculate m(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - m**2)*(-2 - 2*m + 2).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, z: 3, t: 7}. Give prob of sequence tz.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-17\/5)\/(k\/(k\/(k*k*k*k**(-20\/3)\/k*k)*k))*(k**(-2\/29))**18)**(1\/15) assuming k is positive.\nAnswer: k**(11\/6525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20416 and 18560.\nAnswer: 204160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 1. Let j be p(2). Suppose -126 = -j*g + 3*n, g + n = 4*n + 30. What is the greatest common divisor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 41*k + 35. Determine d(-52).\nAnswer: 607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-10)\/v)\/(v**10\/v))\/(v*v**3*v*v*v**(8\/5)) assuming v is positive.\nAnswer: v**(-138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 440965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 38*a + 996. Give h(-18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39120 = -26*k + 2*k. Suppose 2*y = 4*r - 3*r + 1629, -2*r = -2*y + k. What are the prime factors of y?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 - 2*u**3 + 2*u**3 + (2*u - 2*u - u)*(u**2 - u**2 + u**2) + u**3 - 4*u**3 - 9*u**3 + (0*u - 3*u + u)*(2*u**2 + u**2 - 5*u**2).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 47 = -391. What is the third derivative of 9*i**2 - 3*i**3 - g*i + 172*i wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6.943824 seconds?\nAnswer: 6943824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-536)\/536*3*3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 539 + -536.71. Let i = n - -212.71. Let p = i + -215.000127. Round p to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/10)\/((-36)\/(-270))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o - 2. Suppose -4 = v - 2. Let f be a(v). Suppose u - 5*j - 7 = 0, -7*j + f*j = u + 13. Sort -14, u, 1 in increasing order.\nAnswer: -14, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnngonennnngwooggn. Give prob of picking 3 n.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/25 - (-54)\/45. Let b = -16 + 41. Suppose -b = 3*o + 2*o. Put o, 2, w in descending order.\nAnswer: 2, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 21*h + 100 = 0. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 - -90. Let o = 12 - v. Sort -5, o, -4, 4.\nAnswer: -5, -4, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -1\/2, -2\/11, -27, -303, 3\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(196)\/(2*(sqrt(7) + sqrt(28)\/sqrt(4)) + sqrt(7)))*4.\nAnswer: -8 + 8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4393*k - 108781 + 108781 + (2*k - 4*k + k)*(-4 + 5 + 1) as o + g*k and give g.\nAnswer: -4395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = -36*x + 2. Put x, -59, 4 in ascending order.\nAnswer: -59, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2836 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 15 = v. Let t(q) = -566*q - 557*q - 3 + 1121*q. Let z(g) = 4*g + 7. Let h(r) = v*t(r) + 2*z(r). Find the first derivative of h(p) wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8804233261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -1\/120*g**5 + 0 + 1\/360*g**6 - 1\/24*g**4 - 2\/3*g**3 - 3*g + 0*g**2. Let x(r) be the second derivative of n(r). Give x(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 264851195.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 6. Let n be x(-3). Suppose n = -j + 6 - 2. Suppose -j*o = a - 200, 3*o - 5*a - 150 = -2*a. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1665 - 688. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 838, 599, 12, -1085, -2854?\nAnswer: -5457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26973 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 176*h**2 + 179*h**2 - 58*h + 179*h**2 - 550*h**2 to g + b*h + f*h**2 and give b.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 72?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -896566, -896537, -896508, -896479, -896450, -896421?\nAnswer: -896392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001166671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6666, 26675, 60032, 106743, 166814, 240251?\n\"Answer: k**3 + 6668*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/3317 and -71\/1006446?\nAnswer: 107689722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p**2 - p**2 - 6*p**2 to the form m*p**2 + x*p + o and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 858 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60 - 164?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.464 and -0.056?\nAnswer: 0.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -5, 15\/8, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7133 divided by 1019.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 171*m = -178*m + 21, -12 = 5*f - 4*m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 0 + 0)*(a + a**2 - a) - 64928*a + 64928*a - 247*a**4 + 2*a**4 + a**4 - 10*a**4.\nAnswer: -252*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50393 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 12, -o + 5*o = z - 76. Let g be (-4)\/o + 4\/(252\/49). Let y = -2.8 - -3. Which is the nearest to 0.1? (a) -2\/15 (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -0.5. Suppose 229 = 69*a - 2876. Let z be (1 - -2)*a\/(-405). Put -1\/4, z, 0, v in descending order.\nAnswer: v, 0, -1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5717.\nAnswer: 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*s = -36, -2 = -s - 1. Suppose w = 3*c + c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(576) + sqrt(576) + 1*(sqrt(576)*-1 - sqrt(576))))\/((sqrt(242) + (sqrt(242)*-1*-5 - sqrt(242)))*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/4))**28 assuming p is positive.\nAnswer: p**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6434 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-51)\/15)\/1*(-60)\/(-24). Let c = -475\/56 - k. Is 1 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 765*h + 4346.\nAnswer: 765","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**3\/6 - 4*p**2 - p. Let x be t(9). Solve x = -z + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2*-1 + 14304)*((-377)\/26)\/(-29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 3*o + o)*(-550*o**2 + 279*o**2 + 332*o**3 + 271*o**2) + 0*o**4 + 2*o**4 + 0*o**4.\nAnswer: 666*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {y: 1, a: 1, n: 3, i: 1, c: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjccyjjjj. What is prob of picking 1 y, 1 j, and 1 c?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, x: 1, p: 2, v: 1, g: 2, m: 1}. What is prob of picking 1 g and 1 p?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460306*c + 8 + 26 - 20 + 31.\nAnswer: 460306*c + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8907, 8906, 8903, 8898?\n\"Answer: -s**2 + 2*s + 8906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 - 744 - 550 = -559*a. Suppose n - 4*n = -39. Let i be (-1)\/(-3) - 16\/(-6). Solve x + c = 3*x - 7, -a*x - i*c - n = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(39) + (sqrt(273)*2)\/sqrt(7))\/sqrt(3).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.72 + -15.28. Sort -10, -0.2, 0.5, j in descending order.\nAnswer: 0.5, -0.2, -10, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1135126, 2270248, 3405370, 4540492, 5675614, 6810736?\n\"Answer: 1135122*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -18. Is p at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9320.373 litres?\nAnswer: 9320373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(5\/8)*r*r*(r**16*r)\/r)\/((r**(-19)*r)\/(r\/(r\/(r*((r**17*r)\/r)\/r)))) assuming r is positive.\nAnswer: r**(427\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -18)*(-5 - 4907)\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/4 + (-230282)\/(-136) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.094282 times -0.0226\nAnswer: 0.0021307732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + (5*(sqrt(2736) + sqrt(2736) + -2*sqrt(2736) + sqrt(2736)) - sqrt(2736)))**2.\nAnswer: -384*sqrt(19) + 43794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72345 and 5406.\nAnswer: 2459730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 4af1?\nAnswer: 4af2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 29*(-24)\/7656*20\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from {w: 2, n: 1, l: 7, r: 2}.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9 - 2.3. Let n = 0 + -3. What is the closest to 0.03 in -1\/4, d, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2.9. Let i = 3.6 - 3.9. Sort i, q, 0.3, 4 in descending order.\nAnswer: 4, 0.3, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*b + 2. Let f(h) = -32*h**3 + 16*h**2 - 7*h + 16*h**3 - 24*h**2 + 15*h**3 + 5. Let r be f(b). Solve -p - 2 + r = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 13*t - 86 = 77 - 35, -2*t - 2*t = 4*a + 256 for a.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 15. Round k to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -4 - 5)*310\/(-1736).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.061284 - 5420.4.\nAnswer: -5420.338716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2592 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 9, 3\/8, -97, 2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228060 and 105300?\nAnswer: 133415100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5897094, -11794337, -17691580, -23588823, -29486066?\nAnswer: -35383309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*o**4\/2 - 103*o**3\/2 - 495*o**2\/2 - 725*o\/2 + 125 = 0. What is o?\nAnswer: -5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25050829*z + 17024215?\nAnswer: -25050829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40154 and 303517?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.89 + 0.89. Which is the second smallest value? (a) -0.3 (b) 18 (c) -0.5 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000105126442 rounded to 6 decimal places?\nAnswer: -0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*w - 3*w + w)*(0 + 6 - 4)*(0*w - w + 0*w) to the form l*w + a + j*w**2 and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(9\/3))\/(-3). Let w be 3*((-8)\/(-3) + -1). Suppose 5*v - 9*z + w*z - 24 = d, 2 = -2*z. Let o(x) = x**3 - 5*x**2 + 4*x - 6. Give o(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5509122796?\nAnswer: 2, 7541, 182639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 2*r + 5, 3*z = 4*r - 7*r - 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 times 3062?\nAnswer: -70426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 144 + 0 = 0. What is the remainder when 59 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62595 is divided by 3082.\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1155\/(-297))\/(-4*15\/24)\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.8 + 0.8. Let s = 0.4 + 4.6. What is the third smallest value in -0.1, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -16 + -9 - (-1 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -278*p + 50 + 228. Which is the closest to -20? (a) 3 (b) 0.05 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 times 41\nAnswer: -2542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 14*h**2 + 6*h. Let m(k) = 112*k**2 + 49*k. Let q(f) = -6*m(f) + 49*w(f). Let x(u) = u**2. Give x(q(t)).\nAnswer: 196*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 11 = b + 2, 4*h = -5*b + 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 - 9*p**2 - 11*p**2 + 28*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 666849, 666320, 665793, 665268, 664745, 664224, 663705?\nAnswer: 663188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309014 is divided by 4233.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -644.9 + -0.084394\nAnswer: -644.984394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37669.99ml to litres.\nAnswer: 37.66999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/102172 and 47\/7872?\nAnswer: 4904256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23235.9219 milliseconds to days.\nAnswer: 0.00026893428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**5\/3 - 287*s**4\/3 - 1268*s**3 - 4320*s**2 = 0. Calculate s.\nAnswer: -40, -12, -27\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -486 + 1454\/3. Which is the closest to -0.2? (a) p (b) 8 (c) 1\/10 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -361, -306, -77, 314, 855?\nAnswer: 1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*r - 10, 4*l + 2*r = 6 - 18. Let g be (0 - l)\/((-4)\/62). Suppose 872*f + 19040 = 277*f. Is f < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q - 5*t + 33, -t = 5*q - 15. Let d = 7 - q. Let y = d + 5. Solve 4*z + 5*p + y = 29, 5*p - 17 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(833) - (0 + sqrt(833)) - sqrt(833)) - sqrt(833)) + 0)*5)**2 + -5 + (4 + -4 + sqrt(17)*-2 + 3)**2.\nAnswer: -12*sqrt(17) + 333272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/1672233 and -47\/2067815.\nAnswer: 192306795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89 and 20681019?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00027041 to five dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.77 - 0.83. Let a = 29.52 - 15.976. Let u = r + a. Round u to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022139 rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 319095.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13312 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822578 is divided by 85?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c**4 + 2 + 0*c**2 - 2 - 6*c**2 wrt c.\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 391*q**3\/3 - 1348. Let c(s) = -6*s. Give c(k(o)).\nAnswer: -2346*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 2374*u**2 - 8 + 2374*u**2 - 17 - 5*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 721, 719, 715, 709?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 891, 1794, 2709, 3642, 4599, 5586, 6609, 7674?\n\"Answer: i**3 + 896*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15 - -1)*1\/(-2). Let g be ((-32362)\/(-4))\/11*(8 - (-8)\/4). Suppose 12*k = a*k + g. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -252 + 253. What is the greatest common divisor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 11) + 0 + 1. Let i be (-9)\/6*6\/s. Which is bigger: 2\/7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3660 and -6729.9826?\nAnswer: 3069.9826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 3*m**2 + 9*m - 43. List the prime factors of t(-10).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -0.2, -6\/13, -5, -13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 8*v = 15. Suppose -160 = -v*x - 35. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - c)*(546 - 26*c - 546) + (-5 + 1 + 3)*(-2*c**2 - 2*c**2 + 2*c**2).\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + a + 2. Let j be q(-4). What is the units digit of (-2)\/12 - 255\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21504753 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 6 + (0 + -3 + 10 - 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -5751.99.\nAnswer: -2875.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/6)\/(10\/(-15)). Suppose -4*c - 6 = z*s, 5*s - 16 = 2*c + 17. Suppose 5*k = -2*h + 3, 2*k - s*h = -20 - 2. Does -1 = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 - 12*t - 3. Determine l(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1523*r + 2101*r - 105278 = 32434 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 130 = 158. Let q be y\/90*(1 + (-18)\/28). What is the nearest to q in 1, -4, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*y - y**2 + 442551712 - 442551712.\nAnswer: -y**2 + 102*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 32*x**2 + 301*x + 911. Calculate the remainder when 1196 is divided by u(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 592.\nAnswer: 13\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -101, -26, -2 in decreasing order.\nAnswer: -2, -26, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111 + -107. What is the closest to -1 in m, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6026697 plus -12?\nAnswer: -6026709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 741\/117 - (-2)\/3. Suppose -c + 571 = w, -s*c + 4*c + 4*w = -1685. Does 27 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:17 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -25*x**6\/6 - 21*x**2\/2 + 23. Find the second derivative of h(a) wrt a.\nAnswer: -500*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/((-60)\/16) - -1)\/((-19)\/171). Let k(o) = -8*o**2 + 6*o - 4. What is k(j)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250577?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**2 + 13*m**3 - m**3 + 20*m**2 + 15*m**3 wrt m.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*f + 2*f = 35396, 2*f + 11796 = -p. What is p rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.11521 millilitres to litres.\nAnswer: 0.07411521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -538*g**2 - 11*g - 33543 wrt g?\nAnswer: -1076*g - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 4) + -4 + (-2 - -21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 58, 39, 24, 13?\n\"Answer: 2*a**2 - 25*a + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4042282368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4508, -10676, -18506, -28004, -39176, -52028, -66566, -82796?\n\"Answer: -d**3 - 825*d**2 - 3686*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2844, 45, 14 in decreasing order.\nAnswer: 45, 14, -2844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5776*z - 2153. Is l(-36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2984 + -17843\/6. What is the common denominator of ((-121)\/(-21))\/(18\/(-21)) and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.4, 24\/401?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, 1, 0, -1, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -4621, -16881, -41061, -81133, -141069, -224841?\nAnswer: -336421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 - 4\/((-12)\/23). Suppose -3 = -4*z - r, 0 = -3*j + 3*z + 9. Factor 2*f**2 - 12*f**2 + j*f**2 + 9*f**2 + f.\nAnswer: f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 902807, 2 in ascending order.\nAnswer: 2, 5, 902807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 1 + 1. Let r(p) = p**5 + p**3 + 1. Let j(q) = 9*q**5 + 6*q**3 - q + 6. Let n(s) = x*j(s) - 6*r(s). Find the second derivative of n(v) wrt v.\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-20)\/(-5100)*187?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137429 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1836 + -805. List the prime factors of d.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 2, 5.4, -2\/819, -2\/7?\nAnswer: -2\/819","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30\/7*w - 1\/7 + 31\/7*w**2.\nAnswer: (w - 1)*(31*w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7136 (base 10) to base 9.\nAnswer: -10708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/15 and 82\/357?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4009750 or 4009760?\nAnswer: 4009760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-5))\/(5\/(5\/(-2))). Solve p = -2*q + 3*q - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 45\/21)*14\/12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 329, 331, 333, 335?\n\"Answer: 2*d + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t = 73*t - 34*t - 21. What is the closest to 0.4 in -4, -1\/11, 4\/5, t?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 225\/2*u**2 + 20*u**3 + 250*u + 5\/4*u**4 + 40. Let a(w) = 0. Calculate w.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 minus 79817?\nAnswer: -79655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3)*9)\/1. Put 0, 1, 18, m in decreasing order.\nAnswer: 18, 1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k**4 - 8*k**2 - k**2 - 38 + 4*k**2 + 14 + 7*k**2 wrt k.\nAnswer: 12*k**3 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-10) - 392\/40. Let g = f + 13. Suppose g*y + y - 16 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h = 147. Let n be h\/28 + (-2)\/(-4). Which is smaller: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 9*y**2 + 9*y + 9. Suppose v - 2*v = -10. Let i be l(v). Let u be -3 + 5 + 8\/(-3). Which is the closest to -1? (a) u (b) -0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8437276*x**4 - 8439817*x**4 - 2*x**5 + 1 - 6*x**2 - 1 + 112*x wrt x?\nAnswer: -120*x**2 - 60984*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 403375\nAnswer: -1\/80675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -25 - 20 + 63 - 10*m + 0*m. Let x be s(-4). Calculate the greatest common factor of 29 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, 1 q, and 1 t when four letters picked without replacement from {q: 1, z: 3, t: 1, d: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvllvlvvvllll. Give prob of sequence vll.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-27) + (1 - 40\/(-144)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30931067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9 - -1.7. What is the smallest value in -3, h, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 0*r**3 + 0*r**3 - 9 - 10*r**2 + 2*r**2 + 10*r + r**3. Let y be 2\/((0 - 6)*(-1)\/21). Does 4 divide z(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 2*j - 4. Let p be z(4). Suppose -2*y = -50 - p. Let s = y - 19. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 6:20 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*k = 308*k + 6162 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 726 - 729. What is the smallest value in -10.1, -5, m, 1\/4?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/5))**(-2))**2*(((g*(g*g*g**(-2)*g)\/g)\/g)**(-27\/4))**46 assuming g is positive.\nAnswer: g**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 2*g**2 + 3*g + 3. Let l be (3 + -2)\/(4\/12). Let d be m(l). Suppose -a + 5 = -d. What is the greatest common factor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 7) to base 9\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 120*y**2 - 900*y.\nAnswer: -4*y*(y - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 6:09 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14458098 and 2196?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-3))\/((-2)\/(-6)). Suppose -3*q - 49 = -5*s + 1, q = 4*s - 40. Suppose -5*h + s*h - f = 0. Solve o = -0*o + h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**3*n*w + 1250*l**3*n*y - 10*l**3*y**2 - 9*l**2*n*w + 2*l**2*n*y**2 + 101*n*y - 19*w*y**2 wrt l?\nAnswer: 6*n*w + 7500*n*y - 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.78031 milliseconds in microseconds?\nAnswer: 17780.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 13. Let s = i + 2. Let t = s - -1. Is t less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 13*g - 8*g - 1 = 0, 0 = 2*h + 5*g - 9. Suppose -2*f = f - 12. Is h smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000358 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 6 + 0)*(-144801 + 151*k + 144801).\nAnswer: 1661*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1) + 1 + (5 - 0). What is the second derivative of d*b**5 - 29*b - 17*b**5 + 15*b**5 wrt b?\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {u: 6, n: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4849?\nAnswer: 13, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -11*q. Let c(g) = -115329347*g. Determine z(c(i)).\nAnswer: 1268622817*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11794 - -11815. What is the remainder when 902 is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i + 22. Let j(z) be the third derivative of z**8\/10080 - z**5\/30 - 52*z**2. Let b(y) be the third derivative of j(y). Determine b(q(f)).\nAnswer: 8*f**2 - 176*f + 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + sqrt(5) + 2 + (sqrt(20))**2.\nAnswer: sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4943 - 0.0057. Put 2\/123, 1, w in descending order.\nAnswer: 1, 2\/123, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 210*q**5 - 1415*q**4 + 1990*q**3 - 835*q**2 + 50*q = 0.\nAnswer: 0, 1\/14, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 248, 4, 38, -2.6, -2 in decreasing order.\nAnswer: 248, 38, 4, 1, -2, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 v, 1 q, and 1 n when four letters picked without replacement from nvfvffvvqvqqvf.\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 233361 divided by -43?\nAnswer: -5427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6613, -6617, -6633, -6667, -6725, -6813?\nAnswer: -6937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 162502517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-12))\/((-705)\/53580).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -63, -2, 219, 648, 1333, 2322, 3663, 5404?\n\"Answer: 8*z**3 + 32*z**2 - 91*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 363 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5 - 4 - 12 + 4*g + 1. Let h be y(6). Solve -h = 2*w + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -7 + 0*y**2 + 12\/5*y**5 + 0*y**3 - 2*y + 0*y**4. What is the first derivative of o(i) wrt i?\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4272 is divided by 1414.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5764\/8655 - -2\/2885. Let o be (-2)\/(-30)*(-4 - -1)*-1. What is the fourth smallest value in -10, r, o, -0.05?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18169312 by -18.\nAnswer: 9084656\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 1 - 1)*(1 + 1 + 0)*(4*a + 2*a**3 - 4*a).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(360)\/(sqrt(6) + sqrt(6) + -3*sqrt(6)) + sqrt(60))\/((sqrt(36) + sqrt(36)*-3)\/sqrt(3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 18847*o + 1172357. Give d(62).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2)*(-430)\/215. Factor 7\/2*h**2 + 0 + 1\/2*h**3 + o*h.\nAnswer: h*(h + 1)*(h + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 11:57 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 69718\nAnswer: 2788.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -68747 less than -68746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g**2. Let r(k) = 5025*k**2. What is s(r(h))?\nAnswer: -126253125*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 21. Suppose m = a + 3, -3*m + 3*a - 40 = -r*m. What is the third derivative of -m*t**2 + 3*t**3 - 3*t**4 - 3*t**3 wrt t?\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 10*c**2 - 27. Suppose -11*l - 82 = 6. Let q be m(l). Let k = 57 - q. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 16) in base 4?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3259, 6512, 9765, 13018?\nAnswer: 16271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s - 2. Calculate b(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 10 (c) 4 (d) 0.1 (e) -0.652 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -776 + 5?\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 868773595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + 6*x + 7*x**2)*(2*x + 2*x - 5*x) + x**3 - 2*x**3 - 2*x**3.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from lue.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 8*f + 2. Let y be b(6). Let j be y\/(0 + 2 + 0). Suppose -2*p = -j*p + 10. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - -22. What is the derivative of 4 + 31 + n + 43*w**2 wrt w?\nAnswer: 86*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.9 + 2.1. Let z = l + -6.1. Let b = -3 + 5\/2. Is b < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000252715 rounded to 7 dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**4 + 3*c**4 + 8*c**5 + 2*c + 3*c wrt c?\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*n**5 + 14*n**2 - 7*n**2 + n**5 + 13*n**5 wrt n?\nAnswer: 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1916 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/4 + 2\/4. Let u = -5 - l. Let z = u + 25. What is the remainder when 45 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 8*z - 5. Let p(l) = -l**2 + l. Let x be p(0). Suppose 5*w + x*w - 30 = 0. Let d(y) = -y**2 - 9*y - 6. Calculate w*d(g) - 7*t(g).\nAnswer: g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34*s**2 - 2*s**2 + 100*s**2)*(0 + 0 - 2)*(-s + 2*s + 0*s) to the form x*s + k + c*s**2 + g*s**3 and give g.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -244504 (base 6) in base 15?\nAnswer: -66c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/466815 and -1\/6.\nAnswer: 933630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10865 and 410?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -37.3, -2\/7, -133?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 221*a - 10293. Calculate the remainder when j(59) is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000782179565 rounded to seven dps?\nAnswer: 0.0000782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9305205*b**4 - b**3 - 4303890*b**2 + 2*b wrt b.\nAnswer: -223324920*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 5:58 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from relodee. Give prob of picking 1 o and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 12) to base 13\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 2*t + 103 + 0*t**2 - 57 + 5*t**2 - 46.\nAnswer: 5*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 258*o**5*x**2 + 334*o**3 - 90535*o**2*x**2 - 19*x wrt o?\nAnswer: 15480*o**2*x**2 + 2004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29978 rounded to 2 decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/3 and 115\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 6:20 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1763*p**2 - 18788*p + 473717015 wrt p.\nAnswer: 3526*p - 18788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -68, -67, -66, -65?\n\"Answer: y - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 55090 = 5*j, 3*j + 2*k - 54557 = -21496. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 m when three letters picked without replacement from qomwlql.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 36*r**2 + 39*r.\nAnswer: -3*r*(r - 1)*(r + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 183, 1\/7, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100000110011100 + -10100?\nAnswer: -11100000110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131 + 110 + 22 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 104 = 4*f + 2*x, -5*x = 0. What is f rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80119048381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 + 11*j**4 + 10*j**3 - 106*j**2 + 133*j - 49.\nAnswer: (j - 1)**3*(j + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52690747?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5307, 10320, 14747, 18294, 20667, 21572?\n\"Answer: -49*b**3 + b**2 + 5353*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**2 - 46*m + 24. What is i(9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1608 divided by -201?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w - 20. Let k be r(-6). Let y be 6*4\/k*-1162653. Suppose -1712041 - y = -4*t. What is t rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 7*q + 6*q)*(0 - 1 + 0).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/70944 and 59\/51730.\nAnswer: 2483040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 5. Let d be o(-7). Suppose 4 = -5*q + 214. Suppose -q = -2*w + 48. Calculate the greatest common factor of d and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.22?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4 + 506*i - 55 - 476*i. Let t be h(5). Let d = -204 + 215. What is the greatest common factor of t and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4751844 and 1677?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 132797546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -3289?\nAnswer: -3287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**2 - 3*p**2 - 10*p**2 - 3526289*p**3.\nAnswer: -3526289*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**4 - d**3 - d**2 + d + 2. Let h(x) = -x**4 - 7*x**3 - 4*x**2 + 4*x + 139. Let n(b) = h(b) - 4*k(b). Differentiate n(z) wrt z.\nAnswer: 12*z**3 - 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145040892 to the power of 1\/3, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 2:48 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629282.\nAnswer: 2, 314641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 2*k**2 + k. Let m be a(2). Let d(c) = c**2 + c. Let n(t) = 5 + 4*t - 3 + 3*t**2 - 4. Give m*d(f) - n(f).\nAnswer: -f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 11 - 7. Let p be (t - 2) + 1 + 5. Let w = -1 + p. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 21\/902?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 131, 253, 435, 695?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -13, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -292 - -0.4904.\nAnswer: -291.5096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43063 is divided by 10761?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17)\/(-5) + (-10)\/25. Suppose 0 = -a + z*a - 34. Suppose 4*i - 2*i = -5*o + 238, 5*i = o - 53. What is the remainder when o is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207906, 415652, 623398, 831144?\nAnswer: 1038890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**5\/30 + 7*t**4\/24 - 7*t**3\/6 - 5*t**2. Let p(l) = l**2 + 7*l - 21. Let a be p(-10). Let i = -4 + a. Give z(i).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y = 29*y - 13. Let b be (5 + 54 + 4)\/y. Let r(z) = 217*z**3 + 63*z**2. Let o(h) = -7*h**3 - 2*h**2. Give b*o(m) + 2*r(m).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (42 - 36 - (-4 + -10))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - -1120110012011000?\nAnswer: 1120110012011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/15*(1 + (-34)\/(-6)). Let n(w) = -77*w + 10. Let h be n(b). Suppose -1579 = -5*z - 3*j, 3*z + 4*j - h = 328. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-5 + 3 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-1 + 6\/9) + -9. Let s(d) = -5*d**3 - 10*d**2 + 6*d + 6. Let o(y) = y**3 + y**2 - y - 1. What is a*o(r) - s(r)?\nAnswer: -r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.75 - -17.88. Let v = -301\/3 + 901\/9. Which is the closest to 1? (a) 2 (b) v (c) t (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*j**2 - 27 - 33 + 3*j + 91 - 2*j - 29 in the form m*j**2 + c + y*j and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 + 891\/396. Let j(p) be the first derivative of -3*p**w - 18 - 1\/3*p**3 + 0*p. What is j(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 1 + 0 - m + 10*m**2 - 9*m**2. Suppose -j = 2*j + 6. Is k(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -306 + 3364\/11. What is the nearest to -5 in 3, t, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 38*z - 359. Give d(4).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-6) - 4)\/((-3)\/2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130 - 2431232331?\nAnswer: -2431232201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - s**2 + s. Let j = 75 - 17. Let x = -107 - -54. Let t = x + j. Let h(u) = 3*u**3 + 5*u**2 - 5*u + 1. Calculate t*y(f) + h(f).\nAnswer: -2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12752 - 2455. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 7:56 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_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: Find d such that 2*d**4\/13 - 20*d**3\/13 + 18*d**2\/13 = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 4290*k**2 + 4289*k.\nAnswer: k*(k + 1)*(k + 4289)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -31. Suppose -r - d*g + 96 = 0, 0 = 2*r - 0*g - g - 212. Let w = 53 + r. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6032 + 7265. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 + 1)*((-1 + 2 - 2)*(10*l - 9*l + 21*l) + 0*l + 2*l + l) to the form q + i*l and give i.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10086393?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 2*c - 16, -l - 3*c + 2000 = 1962 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19925848 to the power of 1\/2, to the nearest integer?\nAnswer: 4464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 2, c: 4, f: 1, w: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1803360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444285 (base 11) in base 8?\nAnswer: 11353564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + n**2 + n - 17. Let a(x) = -45*x**3 - 4*x**2 - 5*x + 86. Calculate a(i) + 5*r(i).\nAnswer: -50*i**3 + i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6764044 millilitres in litres?\nAnswer: 0.0006764044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 4*x - 13. Determine w(10).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 = 2. Let w(d) be the third derivative of 0*d + 1\/60*d**6 + 0*d**3 - d**y + 1\/12*d**4 + 0 + 0*d**5. What is the second derivative of w(p) wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -a648?\nAnswer: a645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -9690364.\nAnswer: 7\/9690364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = 3*a, 2*a - 10 = i + 2*i. Let k = 9 - 6. Suppose -5*p = -k*s + 19, -2*p + 4*s - a = -0*p. Sort p, -4, 3 in descending order.\nAnswer: 3, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/105)\/((-8)\/15)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*c - 143, -12*c + 14*c = -s + 89. What is the greatest common factor of 1185 and s?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 52 = 2*x, 5*s - 4*x - 89 = 14. What is the remainder when 66 is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 265 + 675 = 2*f, 0 = -5*f - 2*s + 2378. Suppose 3*m = -3*a + 357, -2*m = -6*m - 5*a + f. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.12 - -1.8. Let x = 23.32 + d. Let a = x - 22.82. Round a to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, l: 1}. Give prob of picking 2 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75385 - -12664795\/168. Let r = 1\/56 - u. Put r, -1\/4, -3, -0.1 in decreasing order.\nAnswer: -0.1, -1\/4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*u = -2529 + 809 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9584*t - 1. Let d(v) = -47922*v + 6. Calculate -2*d(q) - 11*w(q).\nAnswer: -9580*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 15*r**2 + 750*r - 841. Give y(-51).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/3? (a) 1\/6 (b) -1 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 + -27 + 2)\/(-1*10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8160\/11832*87\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**4\/10 - 4*h**3\/15 - 697. Find w such that r(w) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.394 - 0.306. Let y = p - -11. Let f = -1.69973 - y. What is f rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Suppose 7*c - 2*c - 3 = -j*a, -c = 5*a - 42. Let q(g) = a - 9 + g. Let z(o) = o**2. Calculate q(z(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 143\/6 - 2657\/114. Suppose 0 = -2111*x + 2110*x. Which is bigger: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.13 (b) 4.11 (c) 1\/156\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 2*p = -12, -9*p + 17*p + 32 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -873.3 from -2038.\nAnswer: -1164.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/6 - 3359*i\/6 + 49126\/3.\nAnswer: -(i - 29)*(i + 3388)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*k - 66*k - 2*y + 22 = 0, 0 = -4*k - y + 116. Suppose s - 3*h = 74, -76 = -s - 26*h + k*h. Solve 70*m - s*m = -10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 19*f**3 - 2*f**2 - 5*f - 27. Determine n(-3).\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -40*r + 160. Calculate h(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1122 + 1623 = -84*l - 1851 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 3. Let k be 51 - v\/(-12)*-3. Suppose -10*d - k = -14*d. Calculate the greatest common factor of d and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26595400 and 3900?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -46155 and -0.03.\nAnswer: 1384.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 u when three letters picked without replacement from uoouuouoiiu?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 264?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.406 and 1885.\nAnswer: 1885.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-8)*(-8)\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 210.15 * -3\nAnswer: -630.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18657*f = 18589*f - 2380 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111201 - -2?\nAnswer: 111203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 147889.2 months in centuries?\nAnswer: 123.241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (1 - -1 - 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0*j*j)**4\/(j**(-2\/9)\/(j**(-3)*j)) assuming j is positive.\nAnswer: j**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(175) - 2*sqrt(175)) + -4*(0 + sqrt(175)))*4)**2.\nAnswer: 280000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 1:54 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -1 - 2. Let x = 10 - j. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2704076 is divided by 9905?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 5*x**2 - 8*x - 8. Let g be c(-6). Suppose 3*o - o - g = 0. Find the first derivative of -3 + 3*w**3 + 2 + o wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 2092 - 2071 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5235.\nAnswer: 3, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 11) to base 7.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 48*r + 963. Suppose 130*n - 87*n = 85*n + 840. Calculate v(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -64, -50, -36?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3423.09635 - -3423. Round o to three decimal places.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 + 2*o**2 - o**2 - 2*o**2 + 2*o**2 - 3*o**2 + 3 - 3 - 2*o**2 - 2 + 2 - 2*o**2 + (4*o - 5*o + 3*o)*(-3*o + o + o) as p*o**2 + v + j*o and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 2305046128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + 3b202?\nAnswer: 3b20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ac1 - 664?\nAnswer: -1455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o - 8. Calculate the remainder when 74 is divided by c(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0810252l to millilitres.\nAnswer: 81.0252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 908480125 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-42) + 3\/6. Which is the closest to -1\/3? (a) o (b) 39 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 + 22 - 157*a - 116 + 159*a to the form b + z*a + l*a**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -78?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + a7?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 11 = 4*f - 5*p, -2*p = 2. Let t(y) = -6 - y**3 + 2*y**2 + f*y**2 - 5*y - 8*y**2. Is t(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.05135 + -0.14775. Let k = r - 512.1009. What is k rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16888382499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2953593, -2953721, -2953847, -2953971?\n\"Answer: i**2 - 131*i - 2953463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -2 (c) -1\/2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -241, -427, -783, -1363?\nAnswer: -2221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2377140?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42705 - -42702. Suppose 0*p - 2 = -2*p. Let z = -0.6 + -3.4. Which is the smallest value? (a) m (b) z (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v - 57 = 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.253 rounded to 0 decimal places?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 283?\nAnswer: -22.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12886875 and 760?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 5:06 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2\/4 - 64827*v\/2 - 1400846643\/4 = 0 for v.\nAnswer: -21609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*g + 20997 - 6597 = 134*g + 90*g for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*y - 2942 = -112*y + 1975 + 18418 for y.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.5, -4\/7, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111111110101 (base 2) in base 10?\nAnswer: 4085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -8*v**3 + v**2 + v. Let n be 4\/6*6\/(-4). Let r be t(n). Solve 3*j = -j + r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from xizzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**3 - 10*h**4 - 11*h**2 + 25*h**2 + h + h**3 - 4*h**3 - 7*h**3 to a*h + g + d*h**2 + z*h**3 + c*h**4 and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 - -130. Suppose 4*c + g = 0, -8 = 2*o - 0*o + 4*c. Solve -3 = -o*u + u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412377 is divided by 5981.\nAnswer: 5669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5119892776.\nAnswer: 2, 6971, 91807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - sqrt(5))**2 + 5.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -11*b**2 - 218*b + 55. What is g(-20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*f - 172*f = -2*n + 6, -5*n + 2*f = 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31671918 to the power of 1\/2, to the nearest integer?\nAnswer: 5628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 + 3 - k**4 + 4 - 6 to m*k**3 + w*k + t*k**2 + x*k**4 + a and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - p - 51 = -35, -3*k + p = 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 - 4*h**5 + h**4 + h**4 + h**5 - h**4 + 3*h**5 - 4*h**5 + 0*h**5 + (-5*h + 3*h + 3*h)*(20*h**4 - 14*h**3 + 14*h**3).\nAnswer: 16*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4 - 5. Let s = 1 - k. Solve -z = 4*i - 0*i - 1, s = 3*i - z + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2891 and 4071?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - x - 15, -5*d - 15 = -4*x - 57. Let r(o) = -o**3 + 7*o**2 - 6*o - 8. Calculate r(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 0. Let j(p) = 0*p**2 - 2*p - 1 + 0 - 2*p**2 - 6*p**3 + 3*p**2. Is j(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 25*z**2 + 93*z - 17. Suppose g + 176 = 5*c + 58, -3*g - 66 = -3*c. Is v(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfufspfmfmmpupp. Give prob of sequence mm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 7. Let g(j) = -j**2 - 3*j + 1. Let n be g(r). Suppose 3*m - 10 = -n, -5*d - 4*m = -87. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*p - 55932, -4*m - 401*p + 55914 = -406*p. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**4\/4 + 9*g - 3. Let i(n) = n**2 + n. Let s(l) = 2*l. Let q(z) = -6*i(z) + 3*s(z). Give h(q(u)).\nAnswer: -108*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19999, 20003, 20007, 20011?\nAnswer: 20015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 430560039?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 21 = -1, 5*n = 5*h - 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -132427?\nAnswer: 5\/132427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f = -8*f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -791*x**3 - 793*x**3 + 52*x - 786*x**3 + 2375*x**3 - 2 + 1 to the form n*x + v*x**2 + h + p*x**3 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/22*31\/(-186)*264?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4*m + 225, -4*a - 2*m + 31 - 353 = 0. Let w = 96 + a. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/25, -3.9451, 0, 0.06 in decreasing order.\nAnswer: 0.06, 0, -2\/25, -3.9451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1968*z + 13665*z + 943*z + 3808*z to the form t + k*z and give k.\nAnswer: 16448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2180 and 210588?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*f**4 + 3*f**4 + 10*f**4 + (2*f + f - 2*f)*(f**3 + 1 - 1) + 4 - 4 - 4*f**4 + (-f + f - f**2)*(-2*f**2 + 0 + 0).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -7*x**5\/60 + 2*x**3\/3 - x**2. What is the first derivative of c(t) wrt t?\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 6*q + 11. Let d be (-12)\/(-30) - (-132)\/20. Let h be y(d). Solve h*n + 2 + 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -980 - -973. Let x(g) = -g**2 - 6*g + 3. What is x(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*b + 105285 + 103803. Is b a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1354502384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 2. Let n be t(7). Let y = 13 - n. Suppose -h + 30 = y*h. What is the remainder when 17 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.9 (b) -0.3 (c) 1.095 (d) 0.5 (e) 4.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 21 = -2*i + 101, 12 = 3*i. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x**3 + 41*x**2 - 14*x + 34. Give b(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**2 + 0*u**2 + 0*u**2 + (-3*u + 4*u - 2*u)*(-4*u - u + 4*u) + (4 - 4 - 2*u)*(-5*u + 3*u + 3*u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*w = 57*w - 3*q - 34598, 5*q = 4*w - 27668. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284247851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/28*1309\/374?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27907 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-76)\/(-2) - 256\/(-32). Suppose 0 = -5*i + t + 14. Sort 2, i, 4 in descending order.\nAnswer: i, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/49 + 89\/147. Sort -0.2, 5, -0.07, x in descending order.\nAnswer: 5, x, -0.07, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296261855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.111887 rounded to three decimal places?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 8*o**2 - 10*o + 9. Let g be q(9). Suppose -u - 10953 = -5*y, -2*u - 4378 = -2*y - g*u. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-153)\/(-102))\/(2\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*n + 160 + 752 = 0. Let a = -53 - -48. Let x(r) = -r**2 + 3*r - 4. Let b(j) = j**2 - 5*j + 6. Calculate a*b(s) + n*x(s).\nAnswer: 3*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 313.79 times -0.14\nAnswer: -43.9306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3168)\/384)\/(6\/8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1710 = 5*u - 0*q + 5*q, 4*u - 3*q = 1354. Let m = u + -222. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -77 and 2353.9123.\nAnswer: 2276.9123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 31*h - 51*h. Solve p - 6 = -5*g, 5*g - 3*p = h*g - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3\/3 + 143*j**2\/3 - 610*j\/3 + 472\/3.\nAnswer: -(j - 4)*(j - 1)*(5*j - 118)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14.65526+-0.638\nAnswer: -15.29326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6604188453?\nAnswer: 3, 617, 1189301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 728401 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10*v - 5*v**2 + 2 + v**3 + 11*v**2 + 6. Let l be j(-4). Let d(x) = -x**3 + x**2 + x - 3. Determine d(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1026, -4, 4, -22, 1 in decreasing order.\nAnswer: 1026, 4, 1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4277, 2, -3.\nAnswer: -3, 1, 2, 4277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 395 + -384. Let u(v) = -3*v + 11. Give u(n).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472678623?\nAnswer: 3, 4673, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.6 and -1230808?\nAnswer: 8123332.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(-2 + v**2 + 2) + 3 - 3 - 2*v**2 + (0 + 2*v + 0)*(2*v + 3*v - 4*v) to the form w*v + y*v**2 + x and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by -6\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201487864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Suppose 5*q + 1 = q - d, -k*d - 10 = 0. Let p = 10 - q. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*r = -4*f + 12, -3*f - r + 13 = 0. Differentiate -4 + y**4 + 2 + y**f wrt y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 + 33*o**2 - 17*o + 18. Give n(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 75*d + 73*d - 47325 = 0, -d - 94650 = -2*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 25 = -5*a + 5*n, 3*n - 1 = -4*a. What is the nearest to -0.1 in -1\/9, 0, a?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j = -17*j - 3712. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*p + 8, -5*w - 25 = -0. Suppose -p*r + 29 + 82 = 0. What is the remainder when r is divided by 2 + 11*(-3 + 4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2 = -1. Let c be 1*f\/2*6. Let m = 4 + c. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 337*o**3 + 141*o**3 + 22*o**3.\nAnswer: 500*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*v**5 - 56*v**5 + 30*v**5 + (-v**5 - v**5 + 3*v**5)*(-4 + 3 + 3)*(-14 + 6 - 7)*(0 + 2 - 3).\nAnswer: 50*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 13 - (-3 - (-11 - -5 - -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 - 12*y**3 - 16*y**2.\nAnswer: 4*y**2*(y - 4)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 176 - 94. What are the prime factors of s?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*c + 14*c + 506 - 3496 = 0 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**2 - 5*n - 5. Let c(g) = 15*g**2 - 17*g - 12. Let y(u) = -8*u**2 + 9*u + 6. Let f(k) = 3*c(k) + 5*y(k). Give -6*a(m) + 5*f(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0.98. Let x(p) = p**2 + 3*p - 3. Let w be x(-4). Let l be 29 + -24 + (-42)\/5 + 3. What is the third biggest value in w, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25370890 is divided by 5243.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -5, -2, -1 in descending order.\nAnswer: -2\/11, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z = -y + 4, 5 = 2*y + 5*z. Let c(t) be the first derivative of 23*t + y*t - 9 - 14*t**2 + 43. Differentiate c(l) with respect to l.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-11 - (-53 - 8) - -2 - 4)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 12748*g**2 - 3*g + 3*g.\nAnswer: 12748*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 795.1255 litres to millilitres.\nAnswer: 795125.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100953082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 238*j**2 + 2*j + 42 wrt j.\nAnswer: 476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.7195407 and 1?\nAnswer: 0.2804593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n + 111. Calculate u(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503\/(-81) + 1236\/(-2781)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -20*s**3 - 52*s**2 - 16*s + 16 = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.277 + -0.277. Which is the smallest value? (a) 1.9 (b) -0.5 (c) j (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 3:25 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(288))*5 + (sqrt(144)*-4)\/(-2*sqrt(288)).\nAnswer: 5 + 61*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16549803?\nAnswer: 3, 179, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 - 4. Let j(i) = -5*i**2 - 93*i - 8. What is 3*j(g) - 6*p(g)?\nAnswer: -3*g**2 - 279*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 4, b: 1, m: 4, n: 10}. What is prob of sequence bm?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 5008?\nAnswer: 5005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21554 (base 8) to base 14\nAnswer: 343a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63*i**3*z - 10917*i**3 - i**2*z**2 + 45*i*z**2 with respect to z.\nAnswer: 63*i**3 - 2*i**2*z + 90*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.9 - 24. Let u = i - -0.8. Let r = -10 - -48\/5. What is the closest to r in u, -1\/4, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3580, -7158, -10736?\n\"Answer: -3578*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/20 and -95\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*a**2 + (2*a + 2*a - 2*a)*(1 + 3*a - 1) + 3*a**2 + a**2 - 5*a**2)*(a + 11*a - 8*a).\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/64 and (-961)\/22 - 4\/(-22)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6668\/5 + 6537\/5. Is -26 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -5 (c) 0.2 (d) 0.4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10793 - -20213. Does 61 divide ((-2)\/(-6))\/(20\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(405)*-3 + 1 + 0 + (sqrt(80) + -1 - (sqrt(5)*2 + sqrt(5))**2*-1).\nAnswer: -23*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 + 145 = 9*n + 192 - 9 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -7\/4*t**4 + 17*t - 1\/6*t**3 + 0 + 0*t**2. Suppose 12*y = 5*y - 7. Give m(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 64. Give l(60).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -61680, -123358, -185036, -246714, -308392?\n\"Answer: -61678*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 - 19*q - 10. Let o(h) = -h**2 + h - 1. Let j(p) = -m(p) - 6*o(p). Let d be j(-6). Solve 0 = 2*t - 7*t + 5*g - d, 0 = -4*t - g + 17 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 14*s + 8*s + 0 = -17, 3*s - 16 = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -208, -80, 1, 12 in increasing order.\nAnswer: -208, -80, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -184 - -190. Calculate the highest common factor of 174 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(616)\/(sqrt(33)\/sqrt(3)) + sqrt(56))\/sqrt(8).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 52*w**2 + 5*w - 5. Let j be t(1). What is the greatest common factor of 1300 and j?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -37806\/5 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/(1088\/3802916) - (-2)\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -555 + 549 + (-1 - -31)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1837657?\nAnswer: 1837657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 2*j + 2. Let l be z(-2). Let w(f) = -4*f - 8. Let x(p) = p**2 - 1. Let h(y) = -w(y) + x(y). Is h(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b4a86b + -2?\nAnswer: -b4a870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/11 and -77\/309.\nAnswer: 3399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**0*m))**(-10)\/(m**1\/m)**(-5)*((m\/((m*m**(-5))\/m*m))\/m*m**(-4))\/((((m\/m**1)\/m)\/m)\/m*m)**(2\/37) assuming m is positive.\nAnswer: m**(4\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 165891767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -7. Suppose s - 1 = -2*r, w*s - 24 = s + 2*r. Suppose 0 = 2*o - 3*c - c - 8, 0 = s*o - 5*c - 25. What is the lowest common multiple of o and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -359, -709, -1045, -1361, -1651, -1909?\nAnswer: -2129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 5) to base 8\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -38*s + 284. Let t be o(7). What is the tens digit of 60 + (92\/t - (-23)\/(-207))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/47, -1\/3, 1100, -3, 0.2 in increasing order.\nAnswer: -3, -1\/3, 2\/47, 0.2, 1, 1100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(6*28)*15\/(-45)*-4.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(300)*5)**2 - (-6*(sqrt(300) + -2)*1)**2.\nAnswer: 1440*sqrt(3) + 1069056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 12*u**2 - 22*u - 25. Give v(-14).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2*g = 115. Suppose -4*c + g = -1. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-81) + (-20)\/(-9). Suppose -4*u + 3*u + 15 = -k, -2*u - 3*k + 5 = 0. Let s be 0 + -1 + -1 + u. Solve -w + 6 = g*t - 5*t, 4*t - 2*w + s = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(24) + (sqrt(216) - (sqrt(216)*-2 + sqrt(216))))\/(-5*(sqrt(12) + sqrt(36)\/sqrt(3))\/sqrt(6)).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 2 + 3 - 3 - u**2 - u**3. Find the second derivative of b(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 - 8*n**2 + 8*n**2 + 0*n**2.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 220 + 11862. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**3 + 4*c**2 + 12*c - 13. Let s(n) = -n**3. Let u(p) = -g(p) - 4*s(p). Is u(7) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 220*b**2 - b. Let a be p(-1). Let u be (253\/a)\/(-1) + 1. Let q = u - 2\/221. What is the nearest to -0.1 in 1\/8, -0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q - 21*q - 2*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 0 (c) -1 (d) 2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/7)*i)**(-1\/16) assuming i is positive.\nAnswer: i**(-13\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 38. Suppose -h + 8 = -5*k. Suppose k*o - 19 - 46 = 0. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/(4\/48). Let w(o) = -o**2 - 5*o + 8. Let v be w(y). Which is the second biggest value? (a) v (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475 minutes after 8:22 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: 451235521 (base 6) to base 12\nAnswer: 28a8ba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 9616304.\nAnswer: -1\/2404076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 139*i + 1193. List the prime factors of u(20).\nAnswer: 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/4 and 49\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -448 <= -447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 14*l - 12*l + 3231, 2*l = -3*b + 1945. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10946670 and 28?\nAnswer: 21893340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13035546 + -1?\nAnswer: -13035547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h + 41. Let l be x(-13). Let t be (5\/(-3))\/(l\/(-96)). Solve 2 = t*d - d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 182*n*w**3 - 89*n*w + 991*n - 821662811*w**3 wrt n.\nAnswer: 182*w**3 - 89*w + 991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-247*q + 490*q + 455*q)*(2*q**3 + 2*q**2 - 2 - 2*q**2).\nAnswer: 1396*q**4 - 1396*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 18, -4, -42, -96, -166, -252?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (512\/(-8064))\/((-1)\/7) - (-519)\/108. Let -1\/4*v**5 + l*v**4 - 30*v**3 + 0 + 0*v + 25*v**2 = 0. What is v?\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 10:01 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4*j = 321 - 347, -5*i - 71 = 12*j + 5 + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**2 + 4*l**2 - l**2 - 4*l + 16*l**2 = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/60 and 187\/3881220.\nAnswer: 3881220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2809 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 8*g**4\/3 + 2*g**3\/3 - 21*g. Find the second derivative of f(u) wrt u.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (365 - 380) + (-1 - -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a decade?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y + 0*y - 2*y**3 + (2 - 6 + 1)*(5*y**3 + 7*y**3 - y**3) - 9*y**3 - 6*y + 4154*y**2 - 4154*y**2 as q*y**2 + p + i*y + d*y**3 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 242045 (b) -1\/4 (c) 0.7 (d) -0.4 (e) 0 (f) 5 (g) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 13. Let j(n) = n - 6. Determine -13*j(f) - 6*q(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-32) - (-2)\/(8\/(-5)). Is k smaller than 1\/70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25035823.\nAnswer: 67, 373669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/(i**(-4)\/i*i))\/i*i)\/i*i*i)**14)**8 assuming i is positive.\nAnswer: i**784","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 11. Find the third derivative of 2*p**2 - 6*p**2 + 8*p**4 + 3*p**m wrt p.\nAnswer: 264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 14. Suppose -4*r = -5*b - 28, 4*b = 4*r - c*r - 20. Let a be 28\/(-10) - 12\/(-4). What is the second smallest value in 0.4, r, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 587 + -584 + (-24)\/(2*-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*m + 57*m - 55*m - 76 = -1428 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*n**4 - 5699 - 3*n**4 + 6958 + 154*n wrt n.\nAnswer: 4*n**3 + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = 5*y - 6*s + 22, 5*s + 35 = 0. Calculate the remainder when 2923 is divided by y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - f = -4*t + 5625, -3*t - 5*f + 3375 = 0. Is t a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2334 (base 6) in base 14?\nAnswer: -2c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 2449*k + 69 - 30 - 16 in the form w*k + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + x. Put -4, -1, x in descending order.\nAnswer: x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*r - 260 = -2*r, 0 = -d + 3*r + 105. What is the remainder when (-32)\/(-3)*d\/24 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12.2 (b) -2\/5 (c) -49 (d) 5 (e) -9 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67761517?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.75 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 425296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/2624983?\nAnswer: 2\/2624983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5045*i - 6*i**3 + 2527*i + 2519*i - i**2 - 91 as k*i + g + t*i**3 + a*i**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28309 or -877570\/31?\nAnswer: -877570\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b1396 (base 15) to base 9.\nAnswer: -5306566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 27 - 3. Let g be k\/5 - 246\/(-30). Solve -g = -j - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + t - 4*t)*(0 - 2 + 0)*(54 + 218 + 21 + 464) in the form i + w*t and give w.\nAnswer: 3028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 6)\/(-2 + 10\/4). Let t(x) = -9*x**3 + 2*x**2 + 2. Let w(n) = -10*n**3 + 3*n**2 + 3. Calculate i*w(f) - 3*t(f).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -82657 plus 330581245?\nAnswer: 330498588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -315 + 110. Let l = -123 - n. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 2*n - 1. Calculate a(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33.609 - 34.609. What is the fourth smallest value in 0, 26, -12, j?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(340) - sqrt(340)*2 - sqrt(340))\/sqrt(10) + (sqrt(4114) - (-1*sqrt(4114) - sqrt(4114))))\/((sqrt(288) + 2*(1*sqrt(288) + sqrt(288)))*1).\nAnswer: 31*sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122417?\nAnswer: 17, 19, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10 = 7*t - 12*t, 5*t + 5 = 2*h. Solve s = h*g + 8 + 7, 3*s + 15 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 762*z + 692*z + 5633 = 1323*z for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -524176*d**3 - 2617984*d**2 + 14476*d - 20.\nAnswer: -4*(d + 5)*(362*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8.85, -3, -3\/14?\nAnswer: 8.85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 11 + 1. What is the third derivative of -3*y**v - y**2 + 3*y**2 + y**3 wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/15)\/((-454)\/(-13620))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 6736400912.\nAnswer: 6736400912.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 26 = 2*k, -3*k + 30*h - 29*h - 39 = 0 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 57 = -4*a + 3*g, -2*a = 2*g - 24. Calculate the greatest common factor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibii when four letters picked without replacement from {i: 3, b: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3575537 divided by -1\nAnswer: -3575537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - -9)\/(9\/6) + 5. Let r + 5\/2*t - 5\/2*t**2 = 0. What is t?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 + 2*j**2 - 7*j**2.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**2*p + 9*d*p**3 - 736*d*p**2 + 933*p**3 - 24*p wrt d.\nAnswer: 6*d*p + 9*p**3 - 736*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y - 359. Let w(q) = 3*q + 14. Let p(g) = -7*g - 35. Let k(z) = -2*p(z) - 5*w(z). Give f(k(h)).\nAnswer: 2*h - 359","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -2*t**3\/21 + 3*t**2\/7 - 4*t\/7 - 66. Factor n(q).\nAnswer: -2*(q - 2)*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00904175 to four decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 4:39 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 38\/3 - 298\/3*o**2 + 245\/3*o + 5*o**3 = 0.\nAnswer: -2\/15, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 730, 728, 726, 724, 722, 720?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 7268.\nAnswer: 21804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 370, 741, 1112, 1483?\nAnswer: 1854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -52 * -3\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q**3 + 37*q**3 + 72*q**3 - 24*q**3 + 31*q**3.\nAnswer: 144*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - sqrt(66)*-2)*2)\/((sqrt(18)\/sqrt(3) + sqrt(6))*-3).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -40*g**2 + 3*g + 3. Let v(y) = -4922*y**2 + 368*y + 368. Let t(u) = -368*q(u) + 3*v(u). Let p(w) = 214*w. Give t(p(x)).\nAnswer: -2106616*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 0*r - 3*r. Solve 5*d + 3*g + 1 = r, -4*d = -3*d + 4*g + 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46787\/5916 + -95\/12. Let a = -5387\/4437 + d. Find the common denominator of a and -11\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y. Let r be 153\/1173*23\/3. Let t(g) = -21*g. Give r*n(k) - t(k).\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40681451*k + 168*k**3 + 40681451*k + 702*k**2 - 702*k**2.\nAnswer: 168*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 15) to base 8.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148567\/4 - -37145. Let -7\/2*i + l*i**3 - 7\/4*i**4 + 1\/4*i**5 + 2 - 1\/4*i**2 = 0. What is i?\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*p + 1649 - 1433 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 3*o + 49 - 22, 0 = -f - o - 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23476722 to the power of 1\/2, to the nearest integer?\nAnswer: 4845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -22. Let u = c - 9. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3382*t**6 + 20*t**3 + 603233*t**2 wrt t.\nAnswer: 405840*t**3 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112000 - 2231113?\nAnswer: -2113113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - s**4)*(2 - 1 + 0)*(-2 + 2 + 1).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261 and 4263.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*o + 8, -o - 4*c = -7*c - 12. Let t(s) = -s**3 - s**2 + 2*s + 9300000. Let q be t(o). What is q rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**3 - 179*m**2 - 733*m - 149. Determine h(-25).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -290 (base 16) to base 3\nAnswer: -220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -46*r - 2. Suppose 0 = -5*n + 5 + 5. Let s be (-1 - 0)*(n - 0). What is the remainder when k(s) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 87870*g**2 + 386583525*g + 4626357660.\nAnswer: 5*(g + 12)*(g + 8781)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 a when three letters picked without replacement from oooaotdoooddotoo?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97 + -17. Suppose 3*h = -4*j - 0*j + 65, -k = -4*h - 2*j. Solve -z + 3*u = -h, -z = 4*z - u - 25 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrrjvrrvrv. Give prob of sequence vrv.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(104)\/(-1*sqrt(512) - sqrt(512)))**2.\nAnswer: 39\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 b, and 1 r when three letters picked without replacement from gqghqqkkkqqrb.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 1301\/247?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -579, -991, -1413, -1845, -2287?\nAnswer: -2739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437 - 201 + 6*h - 236.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13*(343\/(-22295))\/((-7)\/10)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.6 and 0.98921.\nAnswer: 5.539576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h**3 + h + 3*h + 10*h**3 + 3 - 2*h**3 + 6*h**2 - 10*h to the form y*h**2 + v*h + q + c*h**3 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2811 is divided by 234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -13. Let d(o) = o**2 + 20*o - 34. What is the least common multiple of d(-22) and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*b**3 + 0*b - 2\/5*b**2 + 0 - 6\/5*b**4 - 2\/5*b**5.\nAnswer: -2*b**2*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (20\/14)\/((-1)\/4) and 2 + 40\/(-18) - 628\/36.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1076, -4, -1, 0.2?\nAnswer: 1076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 80 = -2*s. Let f = s - 13. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014142 rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 687256 to the power of 1\/2, to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61531374 divided by 6.\nAnswer: 10255229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2895 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -56*y**3 + 2*y**2 + 37*y + 76. What is l(-2)?\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -243*g - 176. What are the prime factors of w(-5)?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3291 times 84\nAnswer: 27.6444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r - 20. Let b be s(4). Suppose -b*a + 733 + 1183 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 58 + 2\/8 + (-1)\/4?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 21\/2, 3 in descending order.\nAnswer: 21\/2, 3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176329563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (0 - 20) + (-64)\/(-10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 218397?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4*8\/(-3). Suppose -o*l + 0*l = -6960. Round l to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17 + 7)*(5 + 45\/(-6)). Suppose -1728 = -28*k + z*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413763223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a9a208 + 1?\nAnswer: -a9a207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 6*i**2 - 2*i + 12. Let n be a(6). Solve -x = -n*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -61 + 23 + 24 + -2 + 1\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112 - 107. Let v = -3 - -4. What is the nearest to c in 5, -1\/4, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/((-12)\/(-9)) + (2 - -5). Let o = 4 + -3. Solve -x*m + 13 = o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 13096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 6039?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1\/4 (c) -8089 (d) -1.1 (e) 3\/2 (f) -2 (g) -2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18302549, 18302547, 18302545, 18302543, 18302541, 18302539?\nAnswer: 18302537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.74 + -1.45. Let z = o - -0.61. What is the nearest to 0 in -22, z, -4\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9643 bigger than -9644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -7*g**2\/2 + 4*g + 1. What are the prime factors of q(-5)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23957831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/15)*m*m*m\/(m**(-2\/13)*m))\/((m*m**(1\/4))\/m**(-7)))**37 assuming m is positive.\nAnswer: m**(-177859\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1761564 is divided by 451.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.448 and -0.08.\nAnswer: -0.03584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -26312 (base 9) in base 10?\nAnswer: -17750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/2 + 18025*m\/2 + 171057 = 0 for m.\nAnswer: -18006, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -168240 + 672963\/4. Let w = -0.03 - -1.63. Let b = -0.4 - w. What is the third biggest value in 0.12, y, b, 1?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 5, 1, -64, 3 in descending order.\nAnswer: 48, 5, 3, 1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.052 + -0.252. Which is the nearest to m? (a) -0.4 (b) -1 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-6) + 25\/10 - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -11 - -3) + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s = 4. Suppose -4*x - 32 = 4*z, z - 4*x - 20 = s*z. Let w = z - -8. Solve -3*g - 3*a + 22 = w, 5*g = -a + 26 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c99da (base 16) to base 12.\nAnswer: -339aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 663583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(72) - -1*sqrt(72))*-3)\/((sqrt(66)*-2)\/sqrt(11)).\nAnswer: 5 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15895 - -15897. Is f > -620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c - 10. Let i(t) = 7*t + 11. Let g(j) = 5*d(j) + 4*i(j). What is the units digit of g(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1843 divide 681308028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*b + 49*b - 7917. List the prime factors of b.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 + 34 = 2*v. Let z = -22 - v. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 5:16 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 16 = 10. Let 9*o - 23*o**3 + 4*o**r - 17*o + 27*o**3 = 0. Calculate o.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**2 - 1. Let w(s) = -s + 2. Let k be w(4). Let h(m) = -4*m**2 + m**2 + 2*m**2. Let f(i) = k*h(i) + b(i). Differentiate f(j) with respect to j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 6. Suppose -44 = 4*h - 4*n, 4*h + n + 47 - 13 = 0. Let r be u(h). Let a(f) = 1 - 3*f**2 + 3*f + f - f - f**3. Calculate a(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(33)*2)\/sqrt(3).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(64)*-1)*5.\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 10:09 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/398 and 34\/5.\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 990.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhhxxxnxxxfuxxxx. What is prob of sequence hxh?\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -167814 - 15?\nAnswer: -167829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9554*g**4 - 2046*g - 1?\nAnswer: -114648*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (13 + -3 - 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**6 - 233917*m**5 - 6*m**3 - 142398*m**2 + 342*m wrt m.\nAnswer: -240*m**3 - 14035020*m**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*j + 16, 0 = -63*g + 58*g - 2*j - 7. What is the smallest value in 0.2, -1, 0.3, g, -1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1932 and -104.\nAnswer: -103.8068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*w + 34 + 26 - 112*w - 98*w - 207*w.\nAnswer: -5*w + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4) - -1)*0. Let s be 0 + 5 + (u - -1). Suppose 45 = -s*d + 201. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = -3*w, 13 - 1 = w + 4*z. Suppose w = -3*s + 6*s - 24. Suppose -6*j = -183 + 93. Calculate the remainder when j is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*u + 33*u - 48 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*(4*sqrt(63))**2 + 0).\nAnswer: -10080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4255 rounded to 1 dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 135*d**2. Let b be j(-1). Let y be ((-272)\/10)\/(36\/210). Let u = y + b. Calculate the common denominator of u and -46\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(897\/26)*42\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 9*v**2 - 10*v + 5. Give r(4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4))**47*(i*i**(2\/9))\/i*i**7*i*i)\/(i**(-3\/5)*i\/(i\/(i\/(i*i**(2\/17)\/i))))**(1\/56) assuming i is positive.\nAnswer: i**(449117\/21420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 = 0, -6*f + f + 10 = 5*s. Let x = f - -5. Which is greater: x or -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 38 + (-1)\/2*-4. Suppose 3*p - 122 = 5*a, -a = p - 2*a - 38. Suppose -3*m + z = r - 34, -m - 5*r = -p. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -29\/210*p**7 + 0*p**5 + 13*p**2 + 0*p**6 + 0 + 0*p**4 + 0*p + 47\/6*p**3. Differentiate a(s) with respect to s.\nAnswer: -116*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) -8 (c) 32.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 10. Calculate p(-14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.271912228 rounded to 2 decimal places?\nAnswer: 1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139395, -278778, -418161, -557544, -696927?\nAnswer: -836310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(102)*3)\/(sqrt(60)\/(sqrt(20)\/sqrt(2))).\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -4. Let n = 10 - d. Calculate the lowest common multiple of n and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*u = 30*u + 97*u + 1479 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50 + 126*n**2 - 45 + 99)*(3*n - 3*n + 11*n) as l + q*n**3 + c*n**2 + x*n and give x.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35\/2? (a) 0.18 (b) 4\/5 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.071 and -16695.9181.\nAnswer: -16695.9891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 0 - (4 - (0 - -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 62*c = -89*c. Factor 12\/5*m**4 + 0*m - 2\/5*m**5 + c*m**2 + 0 - 18\/5*m**3.\nAnswer: -2*m**3*(m - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -556 + 4279?\nAnswer: 3723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-2) + 2)*638\/29. Solve 14*y - i*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(17) - -1*sqrt(17))**2 + sqrt(17) + 2 + 3 + -5.\nAnswer: sqrt(17) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, n: 1, a: 1, o: 5}. Give prob of sequence na.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2*13\/4). Which is the smallest value? (a) 4 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20702 - -103542\/5. Find the common denominator of 59\/9 and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10834 - -5?\nAnswer: -1082a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-168)\/18*(-2 + (-19)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 286.6 - 286.6. Let p be (6\/(-9))\/(1\/6). Which is the nearest to 7? (a) 2 (b) p (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22826294343125 + 1.3.\nAnswer: 22826294343126.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -11829.20809 to 1 dp.\nAnswer: -11829.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*n - 20 = 0, -2*n + 13 - 3 = 0. Let t = 11 - 18. Let k = t + 2. Which is the nearest to s? (a) k (b) -1\/2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172 and 2666.\nAnswer: 5332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14676573 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (180\/(-48))\/((-1)\/4). Suppose -y - 4*y = -i. Let g be (-5)\/8 + y\/12. Which is the closest to g? (a) -0.1 (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10 - 4*k + 4 + 7*k. Let s be c(6). Let n = -15 - -63. What is the highest common factor of s and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(899\/(-1302)) - -55.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -11 (b) 4\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 2*q. Let p(g) = -6*g**3 - 8*g**2 + 10*g + 8. Let u be ((-3)\/(-6))\/((-5)\/40). Let a(s) = u*b(s) + p(s). Factor a(d).\nAnswer: -2*(d - 1)*(d + 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxxxsx. What is prob of picking 4 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 24 = -8. Solve 8*r - w = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-104)\/117*18\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 525068069 to the power of 1\/3, to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2420 = -747*s + 527*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-658)\/7*1\/2. Let d = 48 + u. Suppose 0 = -3*v + 94 - d. Calculate the remainder when v is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (2 + -6)) + (-1123 - -1121).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, -15, -20, -39, -78, -143?\n\"Answer: -n**3 + 2*n**2 + 4*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-nine quarters of a milligram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398960529*q**2 - 398960529*q**2 + 458*q**3.\nAnswer: 458*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 6. Which is the biggest value? (a) r (b) 0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + w**2 - w + 1. Let d(q) = -3*q**3 + 5*q**2 - q - 8. Suppose -2*u - u + 6 = -5*p, 4*u + p - 8 = 0. Let r(v) = u*b(v) + d(v). Give r(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 - 7*l**2 + 2*l + 5. Let t be m(5). Round t to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4412357 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6324 divided by 5\nAnswer: -6324\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2203, 7687, 16437, 28453?\n\"Answer: 1633*o**2 + 585*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-32) + 63\/(-24). Is 47\/c*(9 + -8 - 10) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21282874, -42565740, -63848604, -85131466?\n\"Answer: t**2 - 21282869*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 64.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(208)*-1*3 + sqrt(208))\/(sqrt(8)\/sqrt(2)*1)*1 + 0).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165455601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + (sqrt(95)\/(3*sqrt(5) - sqrt(5)) + 4)**2 + ((sqrt(2299) + 3)*1 + sqrt(2299))**2).\nAnswer: -36903\/4 - 136*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s + 10*s + 2145 = -6*s. Let w = 308 + -144. Let i = s + w. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/195713095 and -28\/34537605?\nAnswer: 587139285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 275268 or 9083863\/33?\nAnswer: 9083863\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) 6\/11 (c) -0.1 (d) -8\/37 (e) 4 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 9, q: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3779 = -3767. Let t be (-2 + -2)\/(-2) + -6. Let z be 2\/t*2*-15. What is the highest common divisor of z and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38743 and 47081861.\nAnswer: 2279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/6)*t)\/(t\/t**(1\/17))*t**(3\/2)*t*t*(t\/((t**(-16)\/t)\/t)*t)\/t assuming t is positive.\nAnswer: t**(1142\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 57.25. Let n = -25.25 - s. Let p = n + 25.9. What is the nearest to p in -5, -2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.01114 or -3?\nAnswer: 0.01114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -78914 divided by 2267\nAnswer: -78914\/2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1641282 divided by -273547.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from tgttteeetrtttgtt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 945484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1.5. Let g = 6368\/5 + -6382\/5. Put -1\/6, 1\/2, v, g in descending order.\nAnswer: 1\/2, -1\/6, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 34) + 59 + -24\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/15 and 2\/35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z + 567. Is 27 a factor of r(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-40))\/(6\/(-30))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-4*t**2 + 2*t**2 + 0*t**2) - 3*t**2 + 4*t**2 - 5*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.6351 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k + 206*k - 167*k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzhcldhlzh. What is prob of sequence hlc?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/35? (a) -48 (b) 2 (c) -0.2 (d) 4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20878*o**6 - 4*o**2 + 32*o + 2.\nAnswer: 2505360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**5\/120 - 3*m**4\/4 - m**3\/3 + 88*m**2 - 135. Let z(x) be the third derivative of g(x). Calculate z(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5752928?\nAnswer: 2, 179779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 5*g - 3*g)*(-g - 1 + 1 + (1 - 2 + 5)*(2*g + 0*g + 0*g) + g + g - 3*g + (0 + 0 - g)*(0 + 3 - 2) - 11 + 3*g + 11).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 219 - 875\/4. What is the closest to 0 in 0, 2\/3, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.168 less than -166150?\nAnswer: -166150.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - m**2 - 4*m**2)*(-4 + 2 + 1).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 24. Let f be (-109 - -2)\/(1\/(-2)). Let c = f + -137. What is the greatest common divisor of c and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + -2 - (14 + -16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1411376797\/1090 - -1294841. What is the common denominator of -103\/20 and l?\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2575\/306 + 76\/9. Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -2 + 3 - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000842 rounded to five decimal places?\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 7*w**2 - 2*w - 9. Let y be v(-7). Let z(s) = y*s - 10*s + 7*s. Let h(f) = 11*f**2. What is z(h(n))?\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 148 = 164, -z = -2*r - 1124655. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130 * -20\nAnswer: -2600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.217463075 to three dps.\nAnswer: -0.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (990\/(-45) - -12)*2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**5 - 5*d**5 + 0*d**5 - 9*d**4 + 9*d**4 - 25*d**5 + (1 + 0 + 2)*(4*d**5 - d**5 - 2*d**5).\nAnswer: -24*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2533*h**2 - 2533*h**2 + 392*h**3 - 395*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2661414 or -2661381?\nAnswer: -2661381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40014*b*p**2 - 2676*b*p - 2*p**4 + 29*p wrt p.\nAnswer: 80028*b - 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from fia?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 74 - 29. Suppose 2615 = l*z - 5*d, -4*z + d = -2*d - 2087. List the prime factors of z.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**4\/24 + 4*h**3 - 2502*h**2. Suppose 2*q = -q + 27. Let r be a(q). Solve r = -5*l, 5*b + 2*l = 6*l + 22 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 2)*(-m - m + 3*m) - 22822 + 22822 + 10123*m as b*m + u and give b.\nAnswer: 10122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3515 (base 6) to base 13\nAnswer: -4c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f - 3. Let q(s) = -10*s + 5. Let r(n) = -2*q(n) - 3*t(n). Let w be (4 - 2)*3\/6. Let u(a) = 2*a - 2. Give w*u(y) + r(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*a - 4, a - 31 - 13 = -4*s. Suppose -3*c = -s, u - 2*c - 2*c = 0. What is the smallest common multiple of u and 3 - (-16 - (-2 - 1))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - (sqrt(392)*2)\/sqrt(7))\/(sqrt(8) + sqrt(40)\/sqrt(80)).\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + -6*sqrt(70)*-2 + sqrt(70))\/(sqrt(40)\/(sqrt(36) + sqrt(4)))*3)**2.\nAnswer: 197568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(250) + sqrt(250)*-3 - sqrt(250)) + sqrt(250))\/sqrt(10))\/(3*((sqrt(605) - sqrt(605)*5 - sqrt(605)) + sqrt(605))).\nAnswer: -sqrt(5)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1828 or -1831?\nAnswer: -1831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6270.999994197 - -6271. What is x rounded to seven decimal places?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 14, -23, -96, -217?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -107, -270, -433, -596, -759, -922?\n\"Answer: -163*v + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*a = 10, 4*j - a - 7 = 4*a. Let v be 11 + -6 - (-4)\/j. Solve 0 = v*z - 22 + 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a + -201?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = -a. Let t(k) = 22*k - 6 - 9*k + 4 - 11*k. Let u be t(a). Solve -9 = -3*r, u*j + 2*j + 14 = -2*r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -147*s + 160*s + 165 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**3 - 7\/12*l**4 + 1\/20*l**5 + l**2 - 5 + l. Calculate f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 3*j + 2. Let v be (2\/2)\/(1\/3). Suppose -d + 13 = v. Suppose -3*t + d = 2*t. Give p(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 14. Let a = 0 + 0. Suppose -h*x - 3 = -a*x. Which is smaller: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96.0288 + -96. What is l rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*r + 10465, r - 6*r - 3*k + 10475 = 0. Suppose 0 = -5*j + 1923 + r. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -4 + 7)\/(-7)*(-952)\/(-14416).\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118153 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165 + 172. Solve -10*b = -f*b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-7) - 171\/(-21). Let u = t - 3. What is the third derivative of -d**6 + 6*d - u*d - d + 2*d**2 wrt d?\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421 = -374*y + 4067 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 3:29 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1247\/(-87) - 4\/(-12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*o + 55. Let n = o + -4. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1020 and 302328?\nAnswer: 1511640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -10*a + 5*n, 4*n + 12 = 434*a - 429*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*m + 16 = 2*c - 398*m, 0 = c + m + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddttnnddddddtdddd. Give prob of picking 3 t and 1 d.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 2*s - 6. Let b be c(-6). Suppose -5*o + 2 = -b. Find the second derivative of o*t**2 - 8*t**2 + 3*t**3 - 5*t + 4*t**2 wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9346.92 + -9347. Which is the second biggest value? (a) 100 (b) -3 (c) 1\/8 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1. Let t = -3 + u. Let x = -1.04 + 1.04. What is the closest to -2\/3 in x, 1, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8557 rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -533 + 529. Suppose 0 = -0*b + 5*b + 25. Sort -3, b, g in decreasing order.\nAnswer: -3, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.16 (b) 3\/33776 (c) -1\/9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 2 - 4) + 5 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 42, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*x = -125*x + 135 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(10\/((-60)\/(-42))))\/((-2)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/2 + 1229*u**4 + 1227*u**3 - 3686*u**2 - 2455*u\/2 + 2457 = 0. Calculate u.\nAnswer: -2457, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/4, -0.95, -29 in ascending order.\nAnswer: -29, -1, -0.95, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 6*c**3 + 70*c**3)*(-2*c - c + 2*c) + c**4 - 3*c**4 + 3*c**4 + 4*c**4 - 2*c**4 - c**4 + (c - 5*c + 2*c)*(-c**3 - 1 + 1).\nAnswer: -71*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*(1*(sqrt(3025) - (sqrt(3025) + (sqrt(3025) - 2*sqrt(3025)) + sqrt(3025))))\/(-5*(sqrt(45)*1 - sqrt(45) - sqrt(45) - sqrt(45))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4668 and 27.\nAnswer: 42012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 5. Let b(y) = 27*y**2 + 4*y + 3. Let o be b(f). Suppose 4*c - 3*k - o = 0, -2*c - 2*k = 3*k - 19. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -71*b - 200. Let u be q(-3). Solve -5*x + 4*p - 10 - u = 0, -2*x = 5*p - 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13252 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38776 and 5032?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, c: 7}. Give prob of sequence ccck.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 220333307 to the power of 1\/2, to the nearest integer?\nAnswer: 14844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0 = 5*i - 35, -i = 2*t - 13. Which is smaller: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 22*v = 18*v - 14, 5*v + 31 = 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -488 - -488. Which is greater: 0.53 or a?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 50*l**2 + 22*l + 1850. Determine y(49).\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**7\/7 + 89*t**5\/5 + 2*t**3\/3 - 10*t + 1162. What is the third derivative of c(l) wrt l?\nAnswer: -120*l**3 + 2136*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 787 + 1372 = 1455*p - 1292*p - 1916 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2722773 and 70464?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**4\/24 + q**3\/6 - q**2. Let z be o(4). Solve -3*r + 2*d - 1 = 0, 8*r + z*d + 32 = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 175790000 to the nearest one million.\nAnswer: 176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -822896598 - 8848.\nAnswer: -822905446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 3594 = -1410. Calculate the highest common factor of x and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1649 + -922. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/15142100 and 48\/357125.\nAnswer: 75710500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(525\/20))\/((-150)\/(-175))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 8 + 8)*(-17*k + 68*k - k**4 - 31*k)*(k + 3 - 3).\nAnswer: -10*k**5 + 200*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.6 - 19.2. Let q = g + -0.7. Is 1 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**3 + 5*k**2 - 5*k + 5. Let u(n) = n**3 - 6. Let s(t) = 5*t**3 - t**2 + t - 35. Let m(a) = -6*s(a) + 34*u(a). Determine 6*g(i) - 5*m(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 535*t + 186*t + 125*t.\nAnswer: 846*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*((-10740)\/(-9))\/5. Let g = i - -665. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -1, -4, 429 in increasing order.\nAnswer: -5, -4, -1, 0, 429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 5:26 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 536.9384mg to tonnes.\nAnswer: 0.0000005369384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1245 (base 7) to base 4.\nAnswer: -13122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {h: 6, o: 1, e: 1, r: 1, a: 1, l: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -41386*(48\/(-120))\/((-8)\/(-10)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*y + 14 = -0, 5*l + 2*y - 14 = 0. Suppose -l*d = 66 - 332. Let s = d + -85. Calculate the greatest common divisor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10370180, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -18, -13, -12, -15?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - -8. Suppose 2*y = -s + 3*y + 6, -4*y = -3*s + x. Solve 0 = 8*k - s*k - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 609, 2854, 6623, 11934, 18805, 27254, 37299, 48958?\nAnswer: 62249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 34\/7, -3.\nAnswer: -3, -2, 34\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 6*v**2 + 7*v + 4. Let r be c(7). Let z + 2*z + 6*z**2 - 3*z**3 - 3*z**r - 3*z**2 = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27.05 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2769 - 2769. Factor -4\/5*a**2 - 8\/5*a + m + 8\/5*a**3 + 4\/5*a**4.\nAnswer: 4*a*(a - 1)*(a + 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -370987*l**4 + 168*l - 162154576.\nAnswer: -1483948*l**3 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41137, 0, -5, 2, 49 in ascending order.\nAnswer: -41137, -5, 0, 2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -56.98. Let j = 0.02 + v. Let r = -0.2 + 0.2. Which is the closest to r? (a) -1\/5 (b) 2\/23 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*v - h, -2*h = -5*v + 2*h - 22. Let n be ((-3 - v) + 1)\/(-1). Suppose -2*p + n + 10 = 0. Solve -p*y = -15 - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i - 40 = 0. Let a be (-4)\/i - (-678)\/4. Suppose 3*n - t = 125, n + 2*t + a = 5*n. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.48211738 to two decimal places.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 - 8*w - 20. Let q be a(11). Calculate the greatest common factor of q and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 0, -4, -2\/3, -0.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2479 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 133*b**3 - b**2 + 584*b + 11. Let g(a) = -26*a**3 - 117*a - 2. Determine 2*c(k) + 11*g(k).\nAnswer: -20*k**3 - 2*k**2 - 119*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 92?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 9781*g + 78345. Calculate f(-8).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(10)\/sqrt(5)) - 4*(sqrt(14)*2 - sqrt(14)))\/(sqrt(14)\/(-5*sqrt(112)))*-5.\nAnswer: -300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -233626, -467287, -700986, -934723, -1168498, -1402311, -1636162?\n\"Answer: -19*r**2 - 233604*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.998 or 267?\nAnswer: 267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1164?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -732*-99.148\nAnswer: 72576.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -33*w**3 - 3*w + 3. Let t(g) = -30*g**3 - 3*g + 2. Give 6*s(x) - 9*t(x).\nAnswer: 72*x**3 + 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6476 + 6476.7153. Let j = -0.7 + w. Let a = j + -0.007. Round a to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -4)\/(3 + (-15)\/6). Let r(y) = 29*y**2 - 10*y + 3. What are the prime factors of r(h)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1074356.\nAnswer: 2, 337, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3446363?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(1\/7))*(q\/q**(-3\/7))\/q)**50 assuming q is positive.\nAnswer: q**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13.6 or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2037\/6)\/((-10)\/(-20))*(-335)\/(-2345).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 129?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-3)\/2 - -12. Suppose q*k - 64 = 5*k. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7567 and 2898?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291497*n + 291328*n - 3380 = 0 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.07 + 4.07019. Round d to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - 298*u + 4233. What is l(-162)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1152*c**3 - 11*c**2 - 4*c - 13. List the prime factors of a(-2).\nAnswer: 89, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/52 and -49\/143.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*o**2 - 17*o**2 + 1 + 37*o**2 - 11*o**2 - 43*o)*(-81*o - 59*o**2 + 81*o).\nAnswer: 118*o**4 + 2537*o**3 - 59*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57795 and 195?\nAnswer: 751335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*l - 3 + 471*l - 15 + 18.\nAnswer: 399*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7 - 1 = 0. Suppose 0 = o*i + i. Solve d + 4*j - 3 = i, d + 4*j - 3*j = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l + 6. Let z(i) = i - 1. Let s(h) = -m(h) - 6*z(h). Let j(u) = -3*u**2. What is s(j(y))?\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + -2*(sqrt(27)*1 - sqrt(27)))\/(sqrt(90)\/(sqrt(10)*-1)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3892 in 0.2, -0.13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*y = 213*y - 15372. List the prime factors of y.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(136)*3 + (-5*(sqrt(136)*-3 - sqrt(136)) - sqrt(136)))\/((1*(sqrt(128) + sqrt(128)*1 + sqrt(128) - sqrt(128)) - sqrt(128))*-3) + 5.\nAnswer: -7*sqrt(17)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11358 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3\/7, 7, 3 in decreasing order.\nAnswer: 7, 3, 3\/7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 118572282 + -58375?\nAnswer: 118513907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3314 a factor of 80376516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (272\/40)\/((-6)\/(-5))*(-62)\/((-7812)\/1890)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h + 203. Determine o(19).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 25 + 8*s - 14*s**3 + 5*s**2 + 4*s**2 - 18*s**3 + 31*s**3. What is the lowest common multiple of 33 and q(10)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {y: 6, m: 2, z: 1, x: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 23*l**3\/3 + 63. Let u(d) = 15*d**2. Calculate -5*p(b) + 8*u(b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*l**3 - 21*l**3 - 16*l**3 + 113*l wrt l?\nAnswer: -420*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*z = -4*i + 22, 2*z = 5*i - 24. What is the third derivative of 6*l**6 - 4*l**5 + i*l**5 - 3*l**6 + 2*l**2 wrt l?\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 8. Let w be (-29)\/(-2*(-2)\/t). Let s = 44 + w. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4089 + 14330. What are the prime factors of l?\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/21 - ((-27)\/3 - 3663\/(-378)). Let j(q) be the third derivative of 11*q**2 - 5\/12*q**4 + 0*q - i*q**3 + 0. What is j(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2233728us to minutes.\nAnswer: 0.00000000372288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.5, 11 in decreasing order.\nAnswer: 11, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 22*r + 3. Let f be m(1). Suppose -30*y + f*y = -925. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780225388 to the power of 1\/2, to the nearest integer?\nAnswer: 42193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/60)\/(8\/(-60)). Suppose -6*f + f = 15. Let p be 2*(-2)\/(-2 - f). Put j, p, -0.5 in descending order.\nAnswer: j, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10120010 (base 3) to base 8.\nAnswer: -5043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 30\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 0.002?\nAnswer: 3.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -41a1b (base 12) in base 7?\nAnswer: -506060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 529771821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/(-8) + (-1)\/4. Let b(i) = i**3 - 5*i**2 + 7*i - 4. Let k be b(q). Let c = -11 + k. Calculate the greatest common factor of 8 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.61 - -2.355. Let m = z + 2.66. Round m to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22819*d**2 + d + d**3 + 22 - 22631*d**2 - 16 in the form y + l*d**2 + q*d + o*d**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4. Let g be (-1)\/(c - 3\/3). Let r(a) = -4*a**2 + 1. Give r(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2\/11 + 196*g\/11 - 3650\/11 = 0. What is g?\nAnswer: 25, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v + 336 = 40*v. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + (3*sqrt(114) + sqrt(114) - sqrt(114)) + sqrt(114))\/sqrt(6))**2*-4.\nAnswer: -1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 17, a: 2}. Give prob of picking 3 m and 1 a.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.0863\nAnswer: 0.01726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 137552096 and 524.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99892 is divided by 209.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 92 + 68 = -2*t, 22 = 3*k + 5*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19920 - -20456. What is the remainder when v is divided by 129?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(27) - ((sqrt(108)\/sqrt(4))**2 + sqrt(27))) + (-1*sqrt(324))\/(sqrt(48)\/(sqrt(4)*-1)).\nAnswer: -26 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1462388, 2 in decreasing order.\nAnswer: 2, -1, -1462388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3388751 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*z**5\/11 - 45376*z**4\/11 + 1219094*z**3\/11 + 115984*z**2 - 304774*z\/11 - 316120\/11 = 0. What is z?\nAnswer: -1, -1\/2, 1\/2, 28, 5645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 17, w: 1}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ettarti. What is prob of picking 1 r and 2 t?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -1. Suppose -3*d + q = d. Suppose -3*v + 2*t = d*v - 45008, 3*v - 5*t = 27020. Round v to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 50 = -4*b - b, -5*p = -5*b - 20. Find the third derivative of -2*r**2 - 2*r**5 + 7*r**4 - p*r**4 wrt r.\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111500474?\nAnswer: 2, 19, 2934223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**3 + 6*v**2 - 13*v + 20. Let m(i) = -9*i**3 - 13*i**2 + 26*i - 39. Let r(u) = 11*g(u) + 6*m(u). What are the prime factors of r(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4983236 = 51*h + 3839764. What is h rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 464722 and 1.1.\nAnswer: 511194.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 122*w - 26. Give o(-3).\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 (base 14) in base 7?\nAnswer: 11401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14 and -4141909.9.\nAnswer: -4141895.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 181.7 + -178.7. Sort -34\/11, p, 0.\nAnswer: -34\/11, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > -734?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -193 - -193. Suppose -20*g + 21359 + 11781 = x. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.02, -0.68, -3\/451, -1\/2 in decreasing order.\nAnswer: -3\/451, -0.02, -1\/2, -0.68, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -852, -1393 in increasing order.\nAnswer: -1393, -852, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 9*q - 33. Give w(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 344 * -3756.\nAnswer: -1292064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 5, 0 = v + 3*q + 8 + 1. Suppose -v*b = -1906 - 122. Suppose 0 = 4*a + b + 146. What is a rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -5. Let h(g) = -12*g**2 - 2*g + 5. Let o(w) = 24*w**2 + 4*w - 11. Let n(z) = t*h(z) + 6*o(z). Determine n(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 476*h - 56. Let a(x) = 25*x - 3. Let f(r) = 56*a(r) - 3*t(r). Let i(p) = -2*p + 5. Let z be i(3). Is f(z) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**2\/5 + 3182019*t\/5 + 3182016\/5 = 0?\nAnswer: -1060672, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) -17 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r + 9. Let w be l(4). Is w*9\/3 + 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-six thirds of a century in months?\nAnswer: 34400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678728.\nAnswer: 2, 37, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*((-1392)\/16)\/488157.\nAnswer: 1\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54888\/25 + -15144013\/6900. Let y = n + 1\/69. Let g = -1 + 0. Which is the third smallest value? (a) 0.1 (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 66 = -242. Suppose 74*x - h*x + 441 = 0. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.084 - -0.284. Which is smaller: -0.12 or l?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1251147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 415 + -3733\/9. Let y(d) be the third derivative of -5*d**2 + 0 + 1\/12*d**4 - 1\/90*d**5 + 0*d - t*d**3. Let y(r) = 0. Calculate r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8364\/(-574)*2828\/303?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -26\/755?\nAnswer: -26\/755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/40 and 49\/1325?\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144 a factor of 86571056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1333 and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 8*d**2 - 2*d - 4. Give g(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/6 - 13399*p**3\/3 + 39925998*p**2 - 357972927668*p\/3 + 7111654467760\/3.\nAnswer: (p - 8926)**3*(p - 20)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 8:10 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 4:36 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*j**3*o*v**3 - j**3*o*v - 13*j**3*v + 115*j**2*o - 2*j**2*v**2 - 17*j*v**3 wrt j.\nAnswer: -270*o*v**3 - 6*o*v - 78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 35, -3, -32 in decreasing order.\nAnswer: 35, 3, -3, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1574327\/29020 + -2\/7255. Which is greater: -54 or f?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 58*y - 59*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*q*y**3 + 2*j**3*q*y**2 - 43*j**3*q + 12*j**2*q*y**3 - 2*j - 2*y**2 wrt y?\nAnswer: 12*j**3*q + 72*j**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1748652 - 0\nAnswer: -1748652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/75784 and 31\/20?\nAnswer: 378920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*g**5 + 1107*g**2 + 2*g**6 - 16*g**4 + 31*g**4 - 15*g**4 + 35*g**5 wrt g?\nAnswer: 240*g**3 - 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 25374 in descending order.\nAnswer: 25374, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.8 - -15.756. Let j = o - -0.043852. Round j to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 22*g**2 + 22*g + 31. Give x(-21).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -5, -4, 1, 13318.952, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -372, -2900, -9750, -23082, -45056, -77832?\n\"Answer: -360*x**3 - x**2 - 5*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**4 + 6249*t**3 - 250385 wrt t?\nAnswer: -8*t**3 + 18747*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4\/3*w**4 - 8\/9 + 16\/9*w**3 - 2*w - 4\/9*w**2 + 2\/9*w**5 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vepp when four letters picked without replacement from {e: 5, v: 3, p: 5}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 48. Let h(f) = -f + 1. Let m be h(-6). Let l = r - m. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - 3*r**4 - r**4 + 0*r**4 - 5*r**4 + 3*r**4 + (-3*r**3 + 3*r**3 + 3*r**4)*(1 + 0 + 1).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 3. Let s(z) be the third derivative of -z**4\/4 + 5*z**3\/3 + z**2. Let u = -40 - -88. Suppose u = 4*n - n. Give n*g(j) + 5*s(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 61*f**2 + 3*f - 2. Suppose 7*j + 4*x - 13 = 2*j, j + 7 = 4*x. What is the remainder when v(j) is divided by -34*(-4 - 28\/(-8))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8232 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Suppose -3*t + 39 = -4*l, 4*t - 1 = 3*t. Let c = -8 - l. What is d(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x + 175 = 0. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1221860, 4\/25, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -739*d**2 + 3*d + 4. Let y be f(-1). Let r = 228 - y. List the prime factors of r.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven eighths of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(4 + 0 - 2)*(6 - 9 + 11)*(0*u**3 + u**4 + 0*u**3).\nAnswer: 32*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + l + 5*l)*(-2*l - 4*l + 5*l)*(-4*l + 0*l + 6*l)*(-2*l + 2*l + l).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 2*h + 22. Determine v(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41015 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4881716482 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*m - 3*m + 37*m + 55*m to v + p*m and give p.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 + 27*d**2 + 48*d - 15. Let q be f(15). What is the remainder when 174 is divided by (80 - q) + (-4)\/(12\/15)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685860 is divided by 57116?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 29. Suppose 8*s - 3*s - 15 = i. Let d = s + -3. Which is smaller: -2\/61 or d?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1681572666.\nAnswer: 2, 3, 73, 467, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30, 35, 24, -15, -94, -225, -420?\n\"Answer: -2*b**3 + 4*b**2 + 7*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5938946.\nAnswer: 2, 13, 228421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -23*r**7\/30 - 59*r**4\/24 + r**3\/6 + 18*r**2. What is the second derivative of g(f) wrt f?\nAnswer: -1932*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1629ba + -14?\nAnswer: -162a12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + sqrt(44) + 1)**2 - (-5 + sqrt(176))) + 0 + 0 - 6*(1*(0 + sqrt(275) + 1 + sqrt(275) - sqrt(275)))**2.\nAnswer: -1474 - 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**7\/840 + o**6\/160 + o**5\/240 - o**4\/32 - o**3\/12 + 22*o**2. Factor u(j).\nAnswer: (j - 1)*(j + 1)**2*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72919651?\nAnswer: 7, 67, 181, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 35 = 4*k, 0 = -3*u + 2*k + 17 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77074590*c**4 - 3232*c - 59501 wrt c?\nAnswer: 924895080*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a = -2*m + 89, 0 = 2*m + 2*a - 92. Suppose -4*u + m = p, -3*p = -0*p - 4*u - 93. What is the remainder when p is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 69 = -3*j. Let q be (-8)\/j - (2 + -1). Let w = 3.94569 - -0.05431. Which is the closest to 1? (a) q (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 93322b - -9?\nAnswer: 933237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 42, -4\/21 in descending order.\nAnswer: 42, 0.02, -4\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 61007622 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: What is 1975500 rounded to the nearest ten thousand?\nAnswer: 1980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 80, 226, 512, 986?\nAnswer: 1696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 7 - (-307 - -290)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26676 and 39312?\nAnswer: 746928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7520 + 0.2\nAnswer: 7520.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 22215 + 6425 = 3*q, -4*j - 2*q + 15800 = 0. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + (1*sqrt(80) - sqrt(80)) - sqrt(80))\/sqrt(10) + -6*((-3*sqrt(200))**2 - sqrt(200)))*-4.\nAnswer: -240*sqrt(2) + 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -895*x = 16*u - 893*x + 142, 4*x = 4*u + 40 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5409 = -5*o + 1035, r + 2152 = 3*o. Let s = 3185 + r. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - 5*a + 4*a - 2*a to the form d + o*a and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37089?\nAnswer: 3, 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(0 + (-9)\/6). Find the second derivative of j**w - j**2 + 0*j**5 - 5*j - 4*j**5 wrt j.\nAnswer: -80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, o: 14}. What is prob of sequence oco?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847252151?\nAnswer: 223, 3799337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44434445 to four dps.\nAnswer: 0.4443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51763.\nAnswer: 37, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**2\/9 - 4060*v\/9 + 5016 = 0?\nAnswer: -1026, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuuuuuufuufufu. Give prob of picking 1 u and 1 f.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q + 702. Let b(r) = 2*r - 5. Calculate -3*b(s) - m(s).\nAnswer: 2*s - 687","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.53328 weeks in minutes?\nAnswer: 25535.4624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35505230?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - z - 12 = 8, -4*z + 15 = 3*q. Suppose 5*v = -4*g - 0*g + 26, -18 = -2*g - q*v. Solve -2*r - 4 - 2 = -g*b, 0 = -r + 3*b - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 9 = g, 3*z - 5*g - 16 - 1 = 0. Let d = 2.169 - 0.169. What is the closest to z in 1\/7, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2147053 greater than -2147054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -209? (a) 1\/6 (b) 10 (c) -3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i - 1. Suppose 5*t - 2*d = 340, 4*t - d = -47 + 319. Suppose 24 - t = -11*k. Calculate the remainder when s(2) is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 16069 - 2986 = -r, 0 = -3*t - 4*r + 6528. Calculate the remainder when t is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = v - 5*h, -4*h - 52 = -5*v + 10. Let p = 24 + 86. What is the greatest common divisor of v and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -539946681*-0.5\nAnswer: 269973340.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/8 - (-21)\/12. Suppose 9 = -x*o + 15. What is the nearest to o in -1, -2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003515874 to 7 dps.\nAnswer: 0.0000352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2169 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93382?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 - 3*d + 3*d + (-4*d**2 + 2*d**2 + d**2)*(-6*d**2 + 3*d**2 + 2*d**2) + (-11 - 4*d**2 + 11)*(-5*d**2 + 2*d**2 - 2*d**2).\nAnswer: 22*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -92277000 rounded to the nearest one million?\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 303032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(5868\/8)\/9. Let s = 53 + f. Does 36 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 91 = 4*r - 35. Let u(i) = -i + 1. Let l(d) = 4*d**2 - 4. Calculate r*u(j) - l(j).\nAnswer: -4*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-2)*(-30)\/(-30)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 9:43 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*r - 425, 181 = 2*t - 2*r + 3*r. Let a = t + -86. Let g = 10 + -10. Solve 2*v + a*v + 20 = g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 5014.\nAnswer: 25\/5014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3599 is divided by 1125?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 0 + 0)*(11*l**2 + l - 6*l**2 + 10*l**2).\nAnswer: 60*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {c: 1, s: 1, x: 2, f: 1, y: 1, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34337117456\/915 - -37526895. Let c = -14\/183 + y. Calculate the common denominator of c and 85\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 2, i: 11, v: 3, h: 1, y: 1}. What is prob of sequence cy?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 50567 - 2?\nAnswer: 50565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 247*g**2 - 247*g**2 - 56*g**4 + (-6*g + 4*g + 3*g)*(-g**3 - 5*g**3 + 4*g**3).\nAnswer: -58*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -3*h - 16*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001134 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 3, -5, -2953, 5, 0 in descending order.\nAnswer: 5, 3, 0, -2, -5, -6, -2953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3018371253 - 7783829094. Let k = 10802200392.99999999 + z. Let t = k - 46. What is t rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 0 - 323\/(-17). Let q be -3 + 0 + -1 + p. Let m = 21 - q. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/45864 and 181\/14742.\nAnswer: 412776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -81, -83, -85?\n\"Answer: -2*v - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 15b9c?\nAnswer: -15b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 j when three letters picked without replacement from {j: 3, g: 4, h: 1}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**3\/3 - 2*q**2 - 7*q + 3. Let t be l(8). Calculate the highest common factor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1775 to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12326503*o**2 + 5308*o - 4\/7.\nAnswer: -(9289*o - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3127561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81711, -161956, -242213, -322488, -402787, -483116, -563481, -643888?\nAnswer: -724343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {n: 3, p: 1, v: 3, y: 1, o: 1, m: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -447.05 rounded to the nearest integer?\nAnswer: -447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -293 + 602 - 179*x - 313 to the form k + b*x and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 0)*2\/(-5). Suppose 0 = -3*i + 5*p + 13, 4*p + 5 - 2 = -5*i. Suppose 3*y + 5 = -i. Which is smaller: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.56 - 1.06. Let q be 4\/6*2\/4. What is the third smallest value in 2\/7, x, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - 2)*4\/(-10). Suppose -4*u + 868 = l, u - z*u + 5*l + 217 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 731.065 - 731. Which is the second biggest value? (a) t (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 p when three letters picked without replacement from {p: 4, u: 1, h: 1, g: 3, i: 1, o: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3\/8, -56 in descending order.\nAnswer: 0.1, -3\/8, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8965*a**3*n*q + 2*a**2*n + a*n*q - 19*a*q - n*q + 13*q wrt a?\nAnswer: 53790*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79454196?\nAnswer: 2, 3, 43, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1316 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -2, -4, 5, -5, 2 in increasing order.\nAnswer: -57, -5, -4, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 42*y**2 + 12*y + 44. Let g(k) = -125*k**2 - 34*k - 133. Let a(x) = -6*g(x) - 17*u(x). Find the first derivative of a(o) wrt o.\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -0.2, 2, -0.1, -1400?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 11. Let n be z(7). Is n\/(-24) - 6102\/(-48) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16701 and -2.\nAnswer: 33402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7916 and 497?\nAnswer: 3934252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(2079\/(-918))*7?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 2. Let k be g(0). Let r = -49\/354 - -18\/59. Let c = -1\/9 - -7\/9. What is the nearest to c in r, -1\/3, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97913311 - 195826624 + 347*y**2 + 97913313.\nAnswer: 347*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*m**4*u**2 + 47*m**2*u**3 - 2*m*u + 11080*u**3 wrt m?\nAnswer: -552*m**2*u**2 + 94*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43973968 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*(-4*(2 + sqrt(288) + (sqrt(288)*2 + sqrt(288) - sqrt(288))) + -5)*6)**2.\nAnswer: 1213056*sqrt(2) + 13491689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 798, 3117, 6988, 12417, 19410?\nAnswer: 27973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2007 + -1151. Let k = -10355\/12 + m. Find the common denominator of 151\/6 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**4\/4 - 10*x**3\/3 + 2*x**2 - 1. Let r be p(-10). What is the units digit of r*(39\/15 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 2802.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b. Let v(s) = 6*s + 1. Let a(p) = 5*n(p) + v(p). Let o = 31 + -27. Suppose 3*y = o - 1. What is a(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -4) + 1 + (-1 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**6*z)\/z)\/z*z**(-2\/3)\/z*z**1\/z**7*(z\/(z*z**0))**(1\/9)\/(z**(-1\/4))**32 assuming z is positive.\nAnswer: z**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16121280 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -53*w**2 + 73*w + 400. Let m be v(-6). Let c = m - -3736. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3603225 is divided by 1201036?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/27 + 2 + 4\/18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11969617 a multiple of 381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - i = -y - 8, -90*i - 41 = -22*y - 92*i + 59 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {g: 1, q: 2, v: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214029.\nAnswer: 3, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -61020.373 times -0.07?\nAnswer: 4271.42611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1023 divide 19650807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**6\/960 + b**5\/480 - b**4\/96 + 17*b**2. Solve q(p) = 0 for p.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 499, 1928, 4301, 7624, 11903, 17144?\nAnswer: 23353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 61, 248, 625, 1258?\nAnswer: 2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 2)*(11*w + 0*w - 4*w) - 3*w - 3*w + 5*w as h + b*w and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*u - 191 = 2*u, 4*s - 764 = -4*u. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-104))\/(((-300)\/(-16))\/5).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u = -4*h - 59, -80 = -4*u - 5*h. Calculate the remainder when u is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4, -14, -36, -76, -140, -234, -364?\n\"Answer: -r**3 - 3*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 68*l**5\/3 + 358436*l**4\/3 - 2469140*l**3\/3 + 5087500*l**2\/3 - 865616*l - 126672 = 0.\nAnswer: -5278, -2\/17, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 11*j + 2 + j + 12*j.\nAnswer: 28*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*n - 3*n = 106, 5*c - 253 = -n. Calculate the remainder when c is divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158457 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1368030 is divided by 3152.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**10*t\/(t\/(t*t**2))*t\/(t*t**(-10))*t**(-3) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 13*h - 22. Let w be v(10). Let x(q) = q**3 - 7*q**2 - 8*q - 7. Determine x(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/2715, -0.1, 0, -5\/8, -42?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8*t + 44 = 3*r, -11 = -2*r + t. Let z be r\/(-5)*(-70)\/4. Suppose -z + 4 = -j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 - 4. Let r(s) = 29 + 0*s**2 + 7*s**2 + s - 16 - 6*s**2 - 12. What is b(c) - 2*r(c)?\nAnswer: 3*c**2 - 2*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (297882\/(-2850) + 105)\/((-6)\/(-110))?\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-18))\/(16\/90*((-44225)\/(-366))\/(-29)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 0*u**2 + 1\/10*u**5 + 0*u**3 + 0 + 1\/6*u**4 + 3*u. Find d, given that s(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3032248 rounded to 2 decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.116956 - -19.882694. Let v = 20 - q. Round v to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -0.5, 0.2, 2, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 8:24 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27773954?\nAnswer: 2, 13, 17, 31, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 14 = 2*w, 313*w - 164*w = 152*w - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 61*-0.5\nAnswer: -30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 758219642 to the power of 1\/3, to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**(4\/9)*a)\/a*a**(-2\/21)*a**(8\/5)\/a*a**(-2\/5)\/a)**29 assuming a is positive.\nAnswer: a**(5017\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 310615282 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 24*z + z + 6 + 0.\nAnswer: -23*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, -2\/15, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*g**2*s + 10*g**2 - g*s + 424*s + 6 wrt g.\nAnswer: -20*g*s + 20*g - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*b + 5*b - 4*b)*(-4 + 1 + 2) - 1 + 1 - b)*(355*b + 23*b + 116*b).\nAnswer: -2470*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w - 1. Calculate the remainder when c(4) is divided by (3\/(-2))\/((-6)\/32).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*i - 28. Calculate the least common multiple of i and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - (-1 + -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 919234734*b**3*o + 982988064*b**3 with respect to o.\nAnswer: 919234734*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 1, 7, 19, 37, 61, 91?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 2 (c) -2\/9 (d) -0.08 (e) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from iienbzzizzzeez.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 - 12*v**3 - 48*v**2 - 64*v.\nAnswer: -v*(v + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**6\/60 + v**5\/60 - v**4\/6 - v**2 + 28. Let b(q) = 2*q**3 - 2*q**2 + 5*q. Calculate 4*b(g) + 5*z(g).\nAnswer: -2*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4)*q\/(q\/q**(-1\/4)))**32\/(q\/(q\/(q\/(q*q**(-2\/5)*q)))*q*q**1*(q**(2\/5)\/q)\/q**(-3)) assuming q is positive.\nAnswer: q**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 75 = 2*l - 85, 148 = 2*l + h. Calculate the highest common divisor of l and 2976.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2092918 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19313310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -370 + 4?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(sqrt(22)\/sqrt(98) - (-4*sqrt(132))\/sqrt(12)).\nAnswer: -174*sqrt(11)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1573 + -1571. Solve -r*i = u - 15, 6 = -4*u + 5*i + 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.07 - -39. Let v = x + -0.8. Let d = 5.13 - v. Which is the smallest value? (a) -4 (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-4)\/16)\/(-21*43\/(-2709))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(84\/(-10)) + (-3 - 9428\/(-136)). Is q bigger than 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*o + 169*o = 5*d + 7, -d = o + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 + 6*u**2 + 6*u + 5. Let j(x) = 3*x**3 - 11*x**2 - 11*x - 9. Determine 5*a(n) + 3*j(n).\nAnswer: -n**3 - 3*n**2 - 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38213388 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3670, 34 in descending order.\nAnswer: 3670, 34, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 11 - 27. Let a = -346 - -522. What is the greatest common factor of y and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809787193?\nAnswer: 16111, 50263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -10*q**3 - 32*q**2 + 9*q. Let n(f) = -29*f**3 - 95*f**2 + 28*f - 1. Let y(k) = -2*n(k) + 7*s(k). Find the third derivative of y(a) wrt a.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.05475?\nAnswer: 0.0219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 7055, -3, -0.4, 1\/4 in descending order.\nAnswer: 7055, 1\/4, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**3 - 3*h**2 + 5*h - 3. Let t(j) = 9*j**3 + 7*j**2 - 11*j + 7. Let o be 57\/(-152) - (-42)\/(-16). What is o*t(m) - 7*k(m)?\nAnswer: m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -5. Suppose h = 4*l + t, -6*h + 2*h + 24 = 4*l. Solve 0 = -4*x - 1 + h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 2. Let y = 10399.8 + -10400. Let k = 0.17 + 0.13. Which is the closest to y? (a) k (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39432*a**4 + 11*a**3 + 4*a + 16826.\nAnswer: 473184*a**2 + 66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/(j**(-2\/5)*j)))**18\/((j**(2\/11)\/j*j)\/j**4) assuming j is positive.\nAnswer: j**(1794\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -8. Let z be 3 - (1 + -1 + 1). Suppose -z*u + q*o = 2*o + 4, -o + 8 = 3*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*f - f - 4*s, -f - 4*s - 15 = 0. Sort 4, f, -5, -2 in increasing order.\nAnswer: -5, -2, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1fa - -14?\nAnswer: 20e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 12*r**5 - 21*r**4 + 343*r**2 - 3. What is the second derivative of b(w) wrt w?\nAnswer: 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/5204 and -69\/6091282.\nAnswer: 12182564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-8)*(-18)\/(-27). Suppose 3*y = -0*y. Suppose 4 = -2*q - y. Is q less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34 + -5?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 + 5*g**2 + 2*g**2)*(4*g - 2*g - 3*g - 1).\nAnswer: -2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - s + s + (8*s - 2*s - 2*s)*(4 + 1 - 3) + (s - 3 + 3)*(2 + 1 + 2).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8\/6*12\/8 and 1 - 0 - (-8)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 6:35 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 6*h + 48. Suppose -s + 3 + h = 0. List the prime factors of s\/(-10)*(-200)\/6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 284.\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 13, u: 6}. Give prob of picking 2 b.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 0*n = -3*n, 10*f = 4*f + 5*n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 966583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f. Let g be 88\/(-6)*(-18 + f). Calculate the greatest common divisor of 33 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from {i: 1, h: 2, t: 5, m: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 70. Let n(o) = -254*o + 18. Let g be n(l). Let p = g - 777. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 - 1b?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -60\/7 (b) -335 (c) 0.1 (d) 0.64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 98863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -17*t - 3. Determine y(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375362128.\nAnswer: 2, 89, 263597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2252*d**2 + d**3 - 628*d**2 - 7 + 17 - 10 to g*d + a*d**3 + i*d**2 + h and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-6\/11))\/(q*q**(-5)*q))**(1\/19))**(5\/9) assuming q is positive.\nAnswer: q**(10\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5046.7 * -41\nAnswer: -206914.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttffvftcffmtftmttt. What is prob of sequence ft?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6138 = -2*u - 7*u. Calculate the greatest common divisor of 62 and u.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32019 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r + 30. 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: List the prime factors of 177133333.\nAnswer: 13, 19, 717139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 130 + 4?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153 - 141. Suppose -2*q - 4*r + a = 0, -4*r = 2 + 6. Calculate the remainder when 228 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 138641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002029 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 5, b: 4}. Give prob of sequence dj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/(-154)*((-2)\/4)\/(-1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463181.\nAnswer: 463181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 44, 63, 68, 53, 12, -61, -172?\n\"Answer: -o**3 - o**2 + 29*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p - 1 + 52*p - 29*p + 0 - 2 + 2.\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 28\/8)*-2. Solve 0 = y*d - 0*d - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1548 is divided by 509?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -554.2 + 554. Do -703 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -14*q**3\/9 - 260*q**2\/3 - 3976*q\/9 + 400\/3 = 0?\nAnswer: -50, -6, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(55) + 4*sqrt(55)))\/sqrt(5) + sqrt(132)\/((sqrt(192) - sqrt(192)*-4) + sqrt(192)).\nAnswer: -239*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(153))*-5.\nAnswer: -50 + 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34909 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2532 bigger than -2477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 479 + -4307\/9. Let p = 0.03 - 5.03. Which is the second smallest value? (a) p (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3518 = -8*z - 202. Let r = -405 - z. What is the remainder when 297 is divided by r?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.516 times 0.0891\nAnswer: -0.0459756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64637100 and 881415.\nAnswer: 193911300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t**3 + 5*t**2 - 2*t + 35. Let a(w) = -10*w**3 + 4*w**2 - w + 25. Determine 4*a(v) - 3*l(v).\nAnswer: -13*v**3 + v**2 + 2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223301?\nAnswer: 13, 89, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 1)*(3*q**3 + 25 - 25)*(25 - 12 + 17) as y*q**2 + z*q + j*q**3 + w and give j.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2088*d - 2029. Determine g(1).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1031, -2106, -3181, -4256?\nAnswer: -5331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/8)\/(2\/8). Let k = m + 43. Calculate the greatest common factor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*t = -27, 3*d + 4*t - 1 = -2. Let g(k) = 5*k + 5 + 9*k + k + 13*k. Is g(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123 + -118 + -13 + 0 + -17 + 0\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/2142 and 71\/306.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -617, -1223, -1823, -2417?\n\"Answer: 3*y**2 - 615*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 0.4, -3.1, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19d (base 14) in base 4?\nAnswer: -11033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -3\/4, 0.036947?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001857 to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a decade in months?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 + 74 + 78 - 222 + 3*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60775*k**2 - 8*k + 742144 with respect to k.\nAnswer: -121550*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2.29*-3\nAnswer: 6.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/156408 and 143\/28414120.\nAnswer: 85242360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22189.\nAnswer: 22189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*b - 1 - 1 = 0, -5*b + 6 = 3*z. Solve a + 1 = -5*i, -z = 4*i - a + 3*a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m. Let t be r(-1). Suppose 0 = y - t - 7. List the prime factors of ((-860)\/(-12))\/(4\/y).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (0 + (-15 - 0) - (58 + 8)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -282 (b) -1\/7 (c) 1 (d) 6 (e) -7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.281*-0.826197\nAnswer: 0.232161357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2383141.4 plus -4577?\nAnswer: -2387718.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b + 12 = 16*b. Is -6*((-467)\/b)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -320143?\nAnswer: -320202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -16*w**4 + 2*w**3 - 2*w**2 + 7. Let v(f) = 16*f**4 - 3*f**3 + 3*f**2 - 8. Let m(s) = 2*v(s) + 3*y(s). Differentiate m(t) with respect to t.\nAnswer: -64*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664 = -555*u + 282*u - 8308 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82418304 and 219782144?\nAnswer: 659346432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 11*m**2 - 15*m + 24. Calculate v(10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -26 (b) -3 (c) 8 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(0 + 0 + 3)*(6*x**2 - 2*x**2 - 3*x**2) to c + d*x**2 + g*x and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 4*d**2 + d - 4. Let g be t(-2). Suppose 3*k - 4044 = y + g*y, 4*k - 5371 = -3*y. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.288 + 16451815560.\nAnswer: 16451815560.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 6, s: 2, a: 4}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-4)\/48)\/((14\/(-10))\/((-172)\/430)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -46 (b) 37\/18 (c) -9\/10 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 15*c + 1. Let f be a(-3). Let s be (-5)\/20 + (-7)\/f. Let g = -3\/76 + -277\/684. Sort -0.4, s, g in decreasing order.\nAnswer: s, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*o**6 + 150 + 27*o**2 - 150 wrt o?\nAnswer: 1200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 4823*h + 33728. Calculate x(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -918*h + 2*h**2 + 918*h + 50 to c + m*h**2 + l*h and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k - 6 + 6 + (k + 0*k - 2*k)*(-5 + 2 + 2).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1742*f**3*j**2*k**3 - 17*f**3*j*k**3 + 6*f**2 - 8*f*k**3 + 515*j**2*k wrt f.\nAnswer: 10452*j**2*k**3 - 102*j*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b*b*b\/b**(-17)))*b*b*b**4)**(-6\/13) assuming b is positive.\nAnswer: b**(-150\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -2522\nAnswer: -1008.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1645*i**3 - 819*i**3 - 821*i**3 + 4 - 3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/12)\/(4\/(-32))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 557*a - 10036. Calculate z(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/35800 and -13\/150.\nAnswer: 107400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i. Let p = 47 - 49. Let s be p\/(-4) + (-6)\/(-12). Calculate t(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -76428718, -152857435, -229286152?\n\"Answer: -76428717*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11*z - 85. List the prime factors of p(9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*o)*(-5 + 5 - 5*o**3)*(165*o - 336*o + 169*o + 225).\nAnswer: -20*o**5 + 2250*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251512400 divided by -5030248.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 972.4203l in millilitres?\nAnswer: 972420.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/2*(-140)\/3. Let k be (-1)\/(-4) - s\/8. Suppose -4*v = 3*j + 2*j - 9, 32 = 4*j - 3*v. Solve -k = j*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16902420 and 14016?\nAnswer: 270438720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408868724 to the power of 1\/3, to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + 9 = 0. Suppose 3*j - 3 = -n + 4*n, -3*n - v*j = 21. Let p = -12 + 13. Put -2, n, p in increasing order.\nAnswer: n, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34885*p**2 - 46848*p wrt p.\nAnswer: -69770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171260 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102415 + -102414.9. Suppose s + 13 = -6. What is the smallest value in -0.06, c, s, -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, n: 9}. What is prob of sequence nqn?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2185950?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.47 + -3. Let i = f - -2.63. What is i rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 plus 1817?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/2, -835, -46, -1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1171, 2359, 3549, 4741?\n\"Answer: l**2 + 1185*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3766 + 3829. Let i = 11815083 + -11815020.000264. Let g = p - i. What is g rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -335\nAnswer: 4020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2851864230 to the nearest one million.\nAnswer: -2852000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 2*k - 6. Let z be (18\/15)\/(3\/(-10)). Is l(z) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(19) + -5 + 4.\nAnswer: -1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15\/4 of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -214*p + 136*p**2 + 5*p**2 - 7*p**2 - 275*p - 4*p wrt p?\nAnswer: 268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 times -5\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1043750*i**2 + 4*i - 16. Let m be a(4). Round m to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6300379 - 0.582034. Let w = 0.048 - n. What is w rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 118*o**3\/3 + 283. Let r(v) = -v. Calculate m(r(x)).\nAnswer: 118*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 + 6*j**4 - 5*j + 4*j - 6*j**2 + 3 + 9*j**2 + 0*j in the form z*j + u*j**2 + h + n*j**4 + d*j**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 8*a. Suppose 3*j + 1 + 2 = a. Which is smaller: j or 6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 303327\/64 + -4741. Calculate the common denominator of p and -79\/48.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2958699 or 1\/4?\nAnswer: 2\/2958699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263569958, 263569960, 263569964, 263569970, 263569978?\nAnswer: 263569988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6*6*5. Solve g*o = -129 + 149 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2786662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2498*t - 27436. Determine p(-11).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 689534848 to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3000217*d**3*g**2 + 16*d**3 - 115162434*g**2 with respect to d.\nAnswer: 9000651*d**2*g**2 + 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4))**(-8\/7)\/(b**(-1)*b**3))**(-5\/16) assuming b is positive.\nAnswer: b**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1421, -1427, -1437, -1451?\n\"Answer: -2*w**2 - 1419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6896946 and 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40291523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (4 - 3 - -2)) + (64 - 58)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.52 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a1 - 2b83d?\nAnswer: -2b8de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23567 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 6 - 7. Let v(s) be the third derivative of -s**5\/60 + 7*s**4\/12 - 7*s**3\/3 + 9*s**2. Let k be v(p). Let d(g) = -3*g**3 + 1. What is d(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 6*b - 211. Let k be y(-18). Let h be -8 + 5\/(k\/7). Let x(m) = m + 1. Let a(z) = 2*z**3 - 3*z**2 + 4*z + 5. Give h*a(u) + 4*x(u).\nAnswer: -2*u**3 + 3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/20 - 711\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + h = -w - 17, 0 = 3*w + 2*h - 19 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 18*z = -23*z - 109, 2*z - 97 = 5*x for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8520 divided by -213?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 169*t**3 + 12*t + 83. Let w(u) = 170*u**3 + 9*u + 84. Let x(y) = -3*h(y) + 4*w(y). Find the first derivative of x(c) wrt c.\nAnswer: 519*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 62863097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615832840 is divided by 6106?\nAnswer: 6104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 169*s**2\/2 - 96096*s + 27320832 = 0.\nAnswer: 7392\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**4\/8 - 5*w**3\/6 - 3*w**2\/2 + 426. Find n, given that o(n) = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -76*i - 67*i + 207*i - 59*i. Let o(q) = -47*q**2. Determine o(j(w)).\nAnswer: -1175*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1027 + -1026.32. What is the third smallest value in 1, q, -0.4, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-322938)\/33*(-1)\/3.\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -52. What is the lowest common multiple of f and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.92664693 to 3 dps.\nAnswer: 13.927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 0 - 3 + 8*p**2 + p - 10*p**2 - p**3. Determine f(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*d**2*s + d*s - 414*s wrt d.\nAnswer: -26*d*s + s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (629*28\/(-952))\/(2\/(8\/(-2)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 25*c**2 + 5\/12*c**4 + 0 + 97*c + c**3. What is the derivative of f(w) wrt w?\nAnswer: 10*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 3650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 0 + 0)*(0*w**3 - 4*w**3 + 2*w**3 + (w**2 + w**2 + 0*w**2)*(3*w + 0*w - 4*w))*(-3 + 2 + 5).\nAnswer: 48*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11151066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/2)\/8*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -r + 18 - 5, -4*r + 24 = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-3*(-5)\/(-15)). Let v be (24\/21 - 4) + 1\/r. Which is smaller: -9 or v?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 648*t + 2233*t = -1245*t + 280568 for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > 45\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8653, 17318, 25983, 34648?\n\"Answer: 8665*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -360501884 divided by 1\nAnswer: -360501884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 0*r**2 + 1\/2*r**4 + 0*r - 2\/3*r**3 - 5. Give z(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59484 + 415669\/7. Let q = s + 103. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 2*u**2 - u + 2. Let t be n(-2). Let a = 1 - t. Let c = 5 + a. Solve 4*f - 4*v = 3*f - 24, c*f - 17 = -5*v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -145 - -140. Suppose -23*u = -28 + 5. Put -1, r, 0, u in descending order.\nAnswer: u, 0, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -405752*c + 4463275. Calculate s(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -3. Suppose -3*g + 2 = 5. What is the second smallest value in -0.1, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 22 + 87. Let j(d) = 23*d. Let g(z) = -11*z. Let x(u) = r*g(u) + 6*j(u). Let n(l) be the second derivative of l**4\/3 + 36*l. Give n(x(c)).\nAnswer: 100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*z - 199 = -303 + 1460 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 61*r**2 + 6*r + 2. Let v be m(4). Suppose -2*l = l - v. Is l a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.8 - -21.8. Let f = u - 17.9999939. What is f rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.3214265 and -0.981?\nAnswer: 10.3024265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 3*p**2 - 2*p. Let a be (-1)\/((16\/12)\/(-4)). Suppose -a*v - 78 = -69. Let m be 2 + v\/3 + (3 - 8). Calculate y(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + e?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 7*k**2 - 223*k + 1851. Determine y(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, v: 4, z: 1, x: 3, q: 1}. What is prob of picking 1 y, 1 z, and 2 v?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105.1 - -105.8. What is the closest to 1\/5 in -2\/19, 4, g, 5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 23*u**2 + 3*u - 9. Determine j(23).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/20 and 75\/91136.\nAnswer: 455680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r + 59. Determine n(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 + 2*g**3 - 9*g**3 - 3*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wswswsswswwswwswwss. What is prob of picking 2 s?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.77 + 3.13. Let p = 22 - c. Which is bigger: 3 or p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(17\/5))\/a*(a*a**(2\/11))\/a assuming a is positive.\nAnswer: a**(-177\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 161\/38 less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.68 - 18.68. Let x = -0.6 + -0.4. What is the nearest to x in 0.3, -1\/7, j?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2483510017.997 + -0.4?\nAnswer: 2483510017.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {f: 1, e: 3, d: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 6 + 18)*(0 + 2*w + 0 - 3*w + 3*w - 2*w + (0 + 0 - 2*w)*(1 - 2 + 3)) + 0 + 0 + w.\nAnswer: -115*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 31*p + 10. Let q be c(-7). Let z be (-2)\/((-4)\/14) - (-1408)\/q. Factor -4*t + z*t**2 - 3\/2.\nAnswer: (t - 3)*(3*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 8*r - 18 = -3*r, 4*w + 2*r = -10. Is w greater than -790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 236 = 5*r, -v + 236 = -5*r - 21 for r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/588599 (b) 3 (c) 2 (d) 51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/(-15) - 4\/(-2). Let k be ((-2)\/(-21))\/(6\/9)*1. What is the second biggest value in k, u, -3\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9*j - 4. Let x(h) = 5*h + 2. Let g(o) = 11*x(o) + 6*z(o). Let i(q) = 2. What is -3*g(s) - 4*i(s)?\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 87014275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 36790200 to the nearest one hundred thousand.\nAnswer: 36800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/239428 and -37\/538713?\nAnswer: 2154852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nznnuzuuuuz. Give prob of picking 2 z.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/3, -5 in descending order.\nAnswer: -2\/3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooowhhwoooowhoo. What is prob of sequence ohoh?\nAnswer: 13\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -13. Let o be (-2 - -16) + 2\/t. Suppose -n - 4 = 0, 2*n - 3 + o = v. Solve -v*q + 14 - 2 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + -1112?\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -16, -46, -78, -106, -124, -126?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 16 = -9*p. Suppose -4*x = 20, 0 = -4*w + 2*w - p*x + 518. Suppose -5*s = -326 - w. List the prime factors of s.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2879 - 5?\nAnswer: -2881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 2*s**2 + 22 + 0*s**2 + 0*s**2 to the form c + h*s + r*s**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2067*o - 7 + 2065*o - 3)*(-o**3 + o**4 + o**3).\nAnswer: -2*o**5 - 10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7603493 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2. Let d(v) be the third derivative of v**5\/12 + 184*v**2. Give d(t(l)).\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3)\/m**(-1\/8))\/(m**(-2\/5)\/m)**(2\/137))**29 assuming m is positive.\nAnswer: m**(387179\/16440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*k**3*m + 13*k**3 - k**2*m**2 - 299*m + 48 wrt m?\nAnswer: 9*k**3 - 2*k**2*m - 299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 868.64267 rounded to 1 dp?\nAnswer: 868.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1826*r - 1780*r - 92 = 0. Suppose n = -2*n + 12. Solve -r*h + 2 = n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*i - 76*i = -74*i - 1921745. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.3012um to meters.\nAnswer: 0.0000643012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/13950 and -133\/450.\nAnswer: 13950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 789511.03 rounded to the nearest 1000?\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 17*d**2 + 30*d + 8. Give j(-21).\nAnswer: 1142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15161675 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 divided by -19219?\nAnswer: -337\/19219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.347*-0.4.\nAnswer: -6.9388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315679 rounded to the nearest ten thousand?\nAnswer: 1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155\/7 - -663\/28. What is the common denominator of w and 53\/60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 8*x = 12. Let m(g) = -g**3 + 2*g**2 + 11*g + 3. Let d be m(x). Let t(h) = 5*h - 11. Is 7 a factor of t(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.43257mg?\nAnswer: 0.00000943257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxzhtxhxxthhtxxxhhh. What is prob of picking 1 x and 2 t?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 4. Let m be a(6). Let s(j) = 7*j - 7. Suppose -5*f = -f - 20. Let y(l) = 3*l - 3. Determine f*y(x) + m*s(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1685 = 14*l + 1993 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**6\/15 + 3*w**2 - 32*w. Differentiate b(m) with respect to m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2, -0.6, -0.1, -92910?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in decades?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 339615 a multiple of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -41*a - 7. Let m be l(5). Suppose 0 = 3*n + 9, s + 3*n = -23 - 4. Let p be (-6)\/(-27) + m\/s. Calculate the greatest common divisor of 48 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1848*x**2 + 98 + 1396*x**2 - 98.\nAnswer: 3244*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -4, 0.1, -80\/109?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3\/3 + 10*h**2 - 5425*h - 392000\/3.\nAnswer: 5*(h - 64)*(h + 35)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*y - 216*y - 8085 = 0. What are the prime factors of y?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 10:20 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*c - 15 = 2*k, -c = -3*k + 39. Suppose g - 4*g = k. Let l be 2\/8 + 1\/g. Solve -5*q + l - 15 = 0, -s + 5 = -2*q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119601 and 57327.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 224 divided by -56\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 9*m = -7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 19 + 5. Suppose o + 22 = i. Solve -o*a - a = 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 871 + 718?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6\/(-18) - (-320)\/6 - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/81*54\/(-12)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -59693 - -33\nAnswer: -59660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 107068?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -8. Calculate the least common multiple of 8\/60*-3 + 13393\/295 and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -6. Let f = y + 1. Let r be (20\/(-15))\/((-2)\/(-3)). Sort r, -5, f in increasing order.\nAnswer: -5, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**3\/3 - 3*d**2 + 6*d - 2180. Give h(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 274, 549, 824, 1099, 1374?\n\"Answer: 275*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -69468? (a) 0.4 (b) -6\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52\/3149 + 22722924\/15745. Let t be 129321\/90 + (-3)\/(-4). Let c = t - z. What is the common denominator of c and 27\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**5 + t**4 + t + 3. Let h(o) = -16*o**5 - 5*o**4 - o**3 - o**2 - 5*o - 16. Let b(v) = 2*h(v) + 11*y(v). Factor b(p).\nAnswer: (p - 1)**2*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u = -34. Let f(n) = -3*n**3 - 3*n**2 + 4*n + 5. What is the remainder when u is divided by f(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 21 = -3*h + 3*n, 5*n = -25. Let x be h\/10 - (-2)\/10. Let d be -2113 - (x + -2 + 0). What is d rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6415 - 5079 = 835*i + 32231 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2. Let y(l) = 361976*l + 35. Give y(n(m)).\nAnswer: -723952*m**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*t**4 + 3*t**3 + 4*t**4 - 2*t**3 - t**2 + t**3 to x*t**3 + j*t + f*t**2 + k*t**4 + m and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 19, -0.3, 0, 3\/7, 31, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 6*z + 17. What are the prime factors of m(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -55130, -55176, -55222, -55268, -55314?\n\"Answer: -46*p - 55084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 0 - 8)*(-2*i**4 + 0*i**4 + i**4) + 148*i**4 + 157*i**4 - 102*i**4 as j + b*i**4 + x*i + k*i**2 + v*i**3 and give b.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h - 4 = 0. Suppose -3*o = -14 - h. What is the remainder when 17 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - c)*((-1 - 2 + 1)*(4*c + 5*c - c) + 241*c + 25 - 174 - 242*c).\nAnswer: 17*c**2 + 149*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -10*j - 10. Let b(t) = 1. Give -10*b(x) - f(x).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31715414 + 372?\nAnswer: 31716006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/5 + 4*h - 44\/5.\nAnswer: (h - 2)*(h + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 15 = -3*a - 3, -t + 1 = 4*a. Let h be (-33)\/(-40) + (-8)\/40. Sort h, a, 4, 2 in ascending order.\nAnswer: h, a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 118158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1048\/7, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 128 + 158 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-14) + 10\/35. Suppose -c = g - 13 - 2, 0 = -p*c + 2. Let l(u) = -u**2 + 16*u - 26. What is the remainder when 3 is divided by l(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -166, -14, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - sqrt(108)\/sqrt(36))*5 + (sqrt(432)*-6 - (sqrt(192) - sqrt(48) - sqrt(48))*-1).\nAnswer: -62*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - k + 79 = 2*f, -3*k = 2*f - 156. Let q = -3803 - -3803. Suppose 3*o - 5*o + s + f = q, -5*o = 2*s - 207. Is 24 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from veehvskkgkkh. What is prob of sequence gvkv?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 16. Let g be k(-13). Let x be (-5)\/((-20)\/(-12)) - g. Solve x = -5*y + 7 - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/20)\/((-95)\/475).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from gokcf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 6:56 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -466?\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*n - 5*n + 45*n - 18582 = -321*n for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19905 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.85799 rounded to two decimal places?\nAnswer: -4.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 2\/7, 4, -0.3, -2\/7, 0.01 in decreasing order.\nAnswer: 4, 2\/7, 0.01, -2\/7, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -2 - -16) + -1. Let y = -7 + p. Let x(d) = 2*d - 1. Calculate the remainder when y is divided by x(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306\/7*v**2 - 3\/7*v**3 + 0 + 0*v = 0.\nAnswer: 0, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**11\/o))\/(o\/o**(2\/3))*(o\/(o*o**(-14\/13)))\/o**(-18) assuming o is positive.\nAnswer: o**(380\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 19. Let h(b) = b**2 + 5*b - 6. Let j be h(k). Suppose 0 = -5*i - j*i + 30. What is the greatest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 10) in base 11?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (121\/2420)\/(65\/(-40)).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -150*o - 4. Let r be u(3). Let v = -432 - r. Calculate the highest common divisor of 88 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 take away 6591445?\nAnswer: -6591460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1504, -2057, -3550, -6451, -11228?\n\"Answer: -78*o**3 - 2*o**2 - o - 1423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 6:01 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2, -19, 0.1, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139 + 144. Let s(l) = l - 1. Let n(m) = 7*m - 6. Determine g*s(v) - n(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 28\/35*(6 - (-199)\/(-34))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 2023?\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2409*k + 2411*k - 4821*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24629705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/805 and 71\/1200.\nAnswer: 193200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 2*m**2 + 2*m + 2. Suppose 0 = f + 4*o - o, 0 = -2*f + o - 7. What is the least common multiple of c(f) and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -10. Suppose 0 = -s + f. Suppose -s*u = 3*j, -3*j - 8 = -4*j + u. Let y(z) = z**2 - 2*z - 3. Give y(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (6 - (-18 + 13 + -6)) - (25 - 0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + -1)*1 - (2\/15)\/(328\/(-23165))?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**3 + 3*o**2 - 4. Let j(a) = -a**3 + a**2 - 1. Suppose -9*p = -6*p + 3. Determine p*g(m) + 3*j(m).\nAnswer: m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12669 is divided by 6313?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -15*h + 10. Suppose 5*b + 8 = 2*m - 2, -h*m - 4*b = 26. Let v = 0 - -1. Put 11, m, -3, v in increasing order.\nAnswer: m, -3, v, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1109*h**3 - h**2 - 935*h - 2.\nAnswer: 6654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -137*b - 476 + 958 - 481 + (-2 + 1 + 4)*(-7*b - 8 + 8).\nAnswer: -158*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 430\/9 + -2614\/9. Let z = -245 - j. Put 0.1, -2\/3, z in decreasing order.\nAnswer: 0.1, -2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-98)\/392 + (-1)\/(-3)*132\/208).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 366*v + 1474. Give n(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, l: 7, h: 4, m: 1, q: 1}. What is prob of picking 1 q, 1 l, and 2 h?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i**3 - 182*i**2 + 244*i**2 - i**3)*(2 + 1 - 4 + (-1 + 1 - 3)*(0 + 2 - 3)) in the form s*i**3 + j*i**2 + a*i + u and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -10)\/(60\/(-16) + -6). Let l = 1.6 - 1.1. What is the biggest value in l, n, -3\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven fifths of a millennium?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/30*(-410)\/(-328)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 1. Let w(z) be the first derivative of -4*z**3\/3 + 6*z - 2. Determine -6*r(f) + w(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -48233600 to the nearest 100000.\nAnswer: -48200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/741 and -187\/30.\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*b - 2*j + 14, 18 = -5*b - 2*j. Suppose 4*g - 17 = 5*r, 0 = -3*r - 3. Let c(u) = -u**3 + 4*u - 3*u - 5*u**2 - g*u. What is c(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*s + 6 = 0, -3*s + 2*s + 2 = -w. Suppose -3*l + w*l + 3 = 0. Calculate the remainder when 20 is divided by l - -1 - (-5)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 217 and 17598?\nAnswer: 545538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**3 - 6 + 2*l**2 - 56*l**4 - 64*l**4 + 121*l**4 to the form u*l + m*l**4 + h*l**3 + a + w*l**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2aca (base 14) to base 7.\nAnswer: 31143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and 11.93.\nAnswer: 17.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-3)\/14 - 6\/(-12)). Let y(j) = -10*j**2 - j - j**3 - 8*j - 5 - j**3. Is y(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 366*q**5 + 36*q**2 + 24*q wrt q?\nAnswer: 21960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -419.96402 to 0 dps.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccjcccccvvcjc. What is prob of sequence vvjj?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 29*h - 943. Calculate d(19).\nAnswer: -753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 5:42 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 7. Let b be (-2)\/(c*(-3)\/12). Suppose 0 = -3*q + 15, 0 = b*s + 4*q + 14 - 42. Solve -14 = -s*x + 4*h, 2*h = -3*x + h + 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(3 + 60\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77) + (sqrt(77) - (sqrt(77) + sqrt(77) + 2*sqrt(77)*-5)))\/((3*sqrt(66) - sqrt(66))\/sqrt(6)).\nAnswer: 11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -13*c**2 + 4*c + 4. Let h(g) = 468*g**2 - 143*g - 143. What is -4*h(l) - 143*o(l)?\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/488096 and 55\/1403276?\nAnswer: 11226208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000083207885 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3*t**3 + 151*g**3 + 14*g**2*t**3 - 2*g**2 wrt t.\nAnswer: 3*g**3*t**2 + 42*g**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4701 - 2498. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1)\/(10\/5). Suppose o = -2*f + 7*f - 15. Suppose f*l = 5*l. Solve l = 3*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-9)\/990)\/((12\/(-45))\/(-4)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 669476*i**6 - 2*i**2 + 1216*i - 23 wrt i.\nAnswer: 80337120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 82\/162183?\nAnswer: 82\/162183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8226 divided by 6\nAnswer: -1371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**4\/24 + l**3\/6 + 1599*l**2. What is m(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 + 369\/5. Let n = 0.2 - 3.3. Let u = 3 + n. Which is the nearest to 0? (a) l (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -5*f - 15, -f - 2137 = 4*n - 2144 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 15 - 18 + 5*i)*(-5*i**2 + 4*i**2 - i**2).\nAnswer: -10*i**3 - 16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 2 + -10 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 812*j**2 - 3*j + 36.\nAnswer: 1624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + (-6*(sqrt(243) + (sqrt(243) - sqrt(243)*-4) + -3))**2.\nAnswer: -11664*sqrt(3) + 315253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**6\/30 + i**5\/15 - i**4\/12 - i**3\/6 + 51*i**2. Let f be b(1). Put f, -1.4, 0 in increasing order.\nAnswer: f, -1.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15720000 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s + 26. Determine h(-13).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 9*w**2 - 14*w - 13. Let r be l(-7). Let p(h) be the third derivative of h**6\/120 + 4*h**5\/15 + h**4\/6 - 2*h**3\/3 - 12*h**2. Is p(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**2 - 1. Let r(s) = s**2 + 1. Let g(p) = -j(p) - 3*r(p). Determine g(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696*l = -693*l + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/216 and 125\/987444?\nAnswer: 1974888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002353624 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**5\/20 + 3*i**4\/4 + 13*i**3\/6 - 12*i**2 + 6*i. Let t be c(10). What is the least common multiple of 3 and (-9)\/2*(-12)\/t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -189\/4 + 47. Let u(s) = s + 2. Let f be u(0). Let p = -0.003 + -0.297. What is the closest to m in -0.1, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u - 3. Suppose 9 = -3*s, -2*s = -k - 3*s - 6. Let t(j) = 28*j + 20. Give k*t(i) - 20*z(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g - 79 = 65 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 + 7*f. Let t(u) = 2*u - 157900. Calculate t(c(l)).\nAnswer: 6*l**2 + 14*l - 157900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -311 - -596. Let h = n + -285. Solve h = 3*l + 6, o = 3*l + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 - (-7 - (-8 - (7 + 0 - (18 - 14)))).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1152 and -27\/10?\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5476 - 3485. Calculate the lowest common multiple of 905 and l.\nAnswer: 9955","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -559503306 divided by 6?\nAnswer: -93250551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 16*u - 8. Give j(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 2)*(2 - 14 + 4)*(-2 - t + 2*t + 1).\nAnswer: -40*t + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 341 + -58. Suppose 3*m = 1375 - n. What are the prime factors of m?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2672*y**6 + 234*y**5 + 69309565*y**2 wrt y.\nAnswer: -320640*y**3 + 14040*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*r**2 + 1256*r - 5720.\nAnswer: 2*(r + 130)*(5*r - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzzkwvbw. Give prob of sequence vv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828544294.\nAnswer: 2, 47, 8814301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (240\/(-70))\/((-4)\/98). Let m be (-15 - -14)*6*(-8)\/(-6). Find the common denominator of 64\/3 and (m\/(-6)*t\/(-8))\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9104 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 4. Let f be h(4). Suppose f = t + 2 - 6. What is the remainder when 50 is divided by (-13)\/(t\/8*-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25, -49, -107, -217, -397, -665, -1039, -1537?\n\"Answer: -3*j**3 + j**2 - 6*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 8 - 2) + 3. Solve -25 = -0*w - m*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -29. Let f(b) = 11*b - 9*b - i*b + 5. Calculate f(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5 + 131*v**4 + 5118*v**3 + 52084*v**2 + 47096*v = 0. Calculate v.\nAnswer: -58, -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/(-3) - -1)\/(-6). Let s = -1.3 + 1.5. What is the smallest value in s, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*c + 3*i = -4, 0 = 5*c - 4*i + 58. Let n be -12*c\/6*(-3)\/(-15). Sort -5, n, 3, -2.\nAnswer: -5, -2, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + 2 + (-533 - -518)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 48 - 252. What is the highest common factor of 105 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14797983 times 1.6?\nAnswer: -23676772.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + -91. Let a be -2 + (-93)\/k*12\/4. Is 2\/7 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 + -11.4. Let n = 11.32 + y. What is n rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 24 = -4*f. What is the tens digit of (-1 - 5)*(-30)\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 222432 and 17766.\nAnswer: 94088736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2450) - (-2 + sqrt(2450)))*5*6 + 1 + -1*(0 + sqrt(2450)))*-3)**2.\nAnswer: -38430*sqrt(2) + 55539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 0 + 0*g**2 + 0*g**3 + 5\/12*g**4 - g. Let o(y) = 8 + 2*y**2 - 8. Determine o(u(t)).\nAnswer: 50*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 128087189?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -43, -13452, 0.2, -2\/5?\nAnswer: -13452","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*j - 408 = -7*j. What is the biggest value in 6, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -315, -597, -875, -1149, -1419?\n\"Answer: 2*m**2 - 288*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 40 = -4*a, -5*a + 10*a = 2*p + 17. Let f = 8 - a. What is the first derivative of -d**3 + 1 + 0*d**3 - 2*d**f wrt d?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/11 + 40840768*p**2\/11 + 81681530*p\/11 + 40840764\/11.\nAnswer: 2*(p + 1)**2*(p + 20420382)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/15 and 12\/71.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14) - (-3)\/(-35).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*121\/(-33) + 70. Let y(f) = -8*f - 10. Let k be y(-8). Calculate the highest common factor of k and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3\/4 + 321*f**2 - 141345*f\/4 + 1039500 = 0. Calculate f.\nAnswer: 48, 105, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 1)*(-2*l**2 + 2*l**2 + 2*l**4)*(-22 - 24 + 47) in the form t + b*l**2 + n*l + j*l**4 + o*l**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44 + -1321?\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 + -23 + -7 - 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l - 0. Solve -l*j - 16 + 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d - 7. Let v be a(6). Suppose 0 = h - 9 - v. What is the highest common divisor of h and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27464623*i - 3*i**2 + 11*i**2 + 27464623*i.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 12:07 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*q - 31 = 45. Are -15\/22 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**5\/20 - l**4\/6 + l**2 - 1. Let w(r) be the second derivative of j(r). Find the second derivative of w(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*a + 12, -2*k + 3*a + 5 = -2*a. Let b(o) = -o - 4. Suppose 4*j - i = -9, j + i + 15 = -3*j. Let g(c) = -c - 7. What is j*g(m) + k*b(m)?\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6684097731?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30543, -28776, -27001, -25218, -23427, -21628, -19821?\nAnswer: -18006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2118825 is divided by 21188?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z - 28863 = 23777. Does 44 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -37 (b) -2\/3 (c) 3 (d) -426\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1 = -9. Suppose 2 = w*d - 6. Does d = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*4\/8*2. Suppose 2*f + 5*w - 350 = 0, 0 = -5*f - w + o*w + 875. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6456 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/32)\/((-6489)\/1442)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k = -36*k + 80. Find the third derivative of 4*p**2 - 3*p**4 + k*p**3 + p**4 + 82*p - 72*p wrt p.\nAnswer: -48*p + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/15 - 2\/15*k**4 - 16\/15*k - 2\/15*k**5 + 2\/15*k**2 + 2\/3*k**3.\nAnswer: -2*(k - 1)**3*(k + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/6*3*-1*12\/(-2652)*-17\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 13*u**2 + 51*u**2 - 11*u as n + v*u**2 + f*u and give v.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 20. Let a be u(-22). Let p be 114\/264 + a\/11. What is the second smallest value in -8, -0.5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006333 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/3, 2\/99, -5\/9, 24 in decreasing order.\nAnswer: 24, 22\/3, 2\/99, -5\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 - 5 - 2033*r - 14 - 9 in the form l + g*r and give g.\nAnswer: -2033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*o**2 + 35 + 0*o**2 - 35 + 41*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuk when three letters picked without replacement from kukuukkukkuuuuku.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 14*a**2 - 16*a.\nAnswer: 2*a*(a - 1)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + -22. Let n be s\/(-55) - 17\/(-5). Suppose 0 = -4*a - p - 4 + 17, 0 = 2*a + n*p + 4. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (sqrt(405)*-2 + -3 - sqrt(405)))**2*-4 + -5.\nAnswer: -58901 - 5184*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 9*s**2 - 14*s + 18. Let g be f(12). Let d = g + -266. Calculate the greatest common divisor of d and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*u, 23*u - 24 = -2*q + 20*u. Let k(i) = 5 + 3*i + q*i - 5 - 1 - 4*i. What is k(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8579655, 4, 0 in increasing order.\nAnswer: 0, 4, 8579655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 - -78. Let a = h - -56. Let p be 1\/((-1)\/(-12)) + -15 + a. Solve 4*f + p = -10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*g + 1377045232 - 9620399636 = 3306365596. What is g rounded to the nearest 1000000?\nAnswer: 127000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*a - 84 + 294. Let g(n) = 727*n**2 + 20*n + 127. Is g(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101101010111010100101 (base 2) in base 3?\nAnswer: 20202001211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -302, -631, -1180, -2021, -3226, -4867?\nAnswer: -7016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1663*t + 35565 = -34281 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 7:12 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -852*d**2 + 1329*d + 751. Calculate v(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 39947*p**2 - 39946*p**2 - 6*p**3 - 2*p + 0*p + p in the form r*p**2 + t + q*p + w*p**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -345833086*o**4 + 88*o - 1062359.\nAnswer: -4149997032*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 999, -5, -3 in ascending order.\nAnswer: -6, -5, -3, 999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 4*n**2 - 3*n + 2. Let w be h(-3). Let q be 19 + (w - 3 - 2). Solve 5*g + 0*b = -2*b + 20, 3*b = -4*g + q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 337*t**5\/10 + 139*t**2\/2 - 124*t + 3. What is the derivative of d(k) wrt k?\nAnswer: 2022*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 + 6*o + 5. Let j be v(-2). Solve 5*p - 3*g = -13, 2*g - 7 = -p + j*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/3 - 14*g**4\/3 + 896*g**3\/3 + 2880*g**2 - 57600*g - 576000 = 0. Calculate g.\nAnswer: -30, -12, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8052\/305 + (-224)\/160?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n. What is the remainder when 19 is divided by q(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 + 31508*a**3 + 1347448*a**2.\nAnswer: 4*a**2*(a + 43)*(a + 7834)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -2*t**4\/3 + 49*t**2. Let x(a) = -4*a. What is w(x(b))?\nAnswer: 64*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 40137, 39217, 38297, 37377, 36457, 35537?\n\"Answer: -920*k + 41057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18\/29 (b) 3 (c) -3\/1085 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12 + -15)*(-2 + 1)*39. What are the prime factors of -4 + 8\/12*h\/2?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -72, 0 in decreasing order.\nAnswer: 0, -28, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -22\/7 (c) 310 (d) -0.13 (e) 2 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22190751?\nAnswer: 3, 11, 224149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223*k*v**2 + 7*k*v*z**2 + 69*k*z**2 + v**2*z**2 + v*z**2 + 2*v*z + 1 wrt v.\nAnswer: -446*k + 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16379 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669296 + 13*r + 223098 + 223095 + 223091.\nAnswer: 13*r - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 190 and 8815820.\nAnswer: 167500580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 16 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 748816332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1327728462, 1327728460, 1327728458?\n\"Answer: -2*i + 1327728464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (sqrt(119)\/(sqrt(567) - sqrt(567)*-1) + (sqrt(17) - 4*(sqrt(272))**2)*1)*-5).\nAnswer: -16320 + 95*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/3 - 1502*y**4\/3 - 6032*y**3\/3 - 6040*y**2\/3 = 0.\nAnswer: -2, 0, 755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 334391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d**3 - 63*d**2 + 120*d - 51. Let v(m) = -9*m**3 + 62*m**2 - 119*m + 52. Let a(i) = 2*l(i) + 3*v(i). Factor a(u).\nAnswer: -3*(u - 3)**2*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 15640851?\nAnswer: 15640854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24210, 48467, 72714, 96951?\nAnswer: 121178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*l**3\/2 - 30*l**2 - 17*l\/2 + 3.\nAnswer: -(l + 2)*(5*l - 1)*(5*l + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2950*r**2\/11 + 5902*r\/11 + 4\/11 = 0. What is r?\nAnswer: -2, -1\/1475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*z + 50. Suppose 0 = 4*s + j - 2*j - 7, 0 = -5*j + z. Does 16 divide 4*(s - 1)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103\/2, 3\/2, 2\/13, -4, 0, 0.38.\nAnswer: -103\/2, -4, 0, 2\/13, 0.38, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) -2 (b) -11\/4 (c) -0.4 (d) 316\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(3\/(-90) - 0). List the prime factors of b\/(-3)*12\/8.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1022, 4110, 9264, 16484?\n\"Answer: 1033*b**2 - 11*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*i**3 - 20*i**3 - 52*i**3 + 29*i**3.\nAnswer: -83*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2.02*-1020\nAnswer: -2060.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + t + 1. Let u(f) = 3*f**2 - 6*f - 5. Let h be u(3). Suppose -c = h*c. Give b(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1982080 is divided by 285?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p = 11*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v = -19*v - 224. Let p = v + 14. What are the prime factors of p?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 23 - 1\/24*j**5 - 1805\/12*j**2 - j - 65\/24*j**4 - 665\/12*j**3. Factor p(f).\nAnswer: -5*(f + 1)*(f + 19)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 9:43 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16548, -16631, -16844, -17247, -17900, -18863, -20196, -21959?\nAnswer: -24212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 30*g + 4. Let j(x) = -7*x. Determine t(j(q)).\nAnswer: -210*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*t**5 + 102*g*t**3 - g*t**2 + g + 6*t + 122 wrt t.\nAnswer: 40*g*t**3 + 612*g*t - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(11) + 0 + -1 + 3*(sqrt(11) + (sqrt(11) + 2 + sqrt(11)*-2)**2) + -5.\nAnswer: -8*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -206*a + 631 + 2253 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, g: 4}. Give prob of sequence dggd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 4\/((-2)\/(-1)). Let m = 696 - 692.978. Let t = m + -0.022. Which is the closest to w? (a) t (b) 2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 6*v**3 + v**4 + 3 - 6*v - 2*v**2 - 4*v**4 + 2*v**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**25)**17*(d*d*d**(6\/13))\/d**(2\/11))**(-10) assuming d is positive.\nAnswer: d**(-611010\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mllmlmmmlmm. What is prob of sequence mll?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 45, 64, 101, 162, 253?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(65))\/(sqrt(55)\/(4*sqrt(11))).\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -7. Suppose 2*y + 5*d - 6 = 0, m*y + 5*d + 12 = 27. Suppose 5*k + 1 = -3*b - 13, 5*k + 26 = y*b. Solve 5*q + s = 10, 2*q + b*q = -s + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 4:56 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 78.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130487*r = 130445*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.436598298 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*v**(2\/5)*v)*v)**(-3)\/((v\/v**(-2\/5))\/v**(-3))*(v**(-1\/4)\/v*v)**(1\/70)*(((v**(-1)*v)\/v)\/v)**7 assuming v is positive.\nAnswer: v**(-3977\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1148?\nAnswer: 1\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 996\/(-1494)*(0 + (-36)\/16). Determine h, given that 0*h**2 + 0*h - d*h**3 - h**4 + 0 + 1\/2*h**5 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259, -292, -353, -448, -583, -764, -997, -1288?\nAnswer: -1643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*n + 57*n = -41*n + 765 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-73664)\/(-160))\/(4 - (-52)\/(-10)). Are -383 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*q - 7*q. Suppose q = -3*f + 5*f. List the prime factors of (28 - f) + 4 + -3.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-6)\/8*-13*18\/(-1755)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 9) in base 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*i = -2, 10 = -2*w - 4*i - 2. Let q be (50\/15)\/(5\/((-15)\/w)). Suppose 0 = 4*u, -u + 32 = q*v + 7. Solve v*n + 4 = 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -413 + 638. Suppose y - 2*k - 82 = 131, -h = -y - k. Suppose 5*g = y + 39. Is g a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 638275 + -433404. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4))**(5\/2))**(-48) assuming t is positive.\nAnswer: t**480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 80076004.\nAnswer: -56053202.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.635 - -12.5636. Let y = s + -19.9293. Let a = 15 + y. What is a rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*i + 3*y + 2*y, y + 3 = 0. Let z(o) = -2*o + 8. Let u be z(i). Let a(w) be the first derivative of w**2\/2 + 13*w + 519. Calculate a(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -66*m + 68*m + 13, -v + 3 = -m. Let h(r) = 11*r + 37. Give h(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at least as big as 255\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l - 6. Let f be s(4). Let x = 5 - 12. Let k = f + x. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 - -24 - -24) + 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 61*f - 57*f - 1)*(f**3 - f**3 + 4*f**3) in the form h*f + m*f**3 + v*f**2 + a*f**4 + j and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 1, 0.02, -0.027?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39775867993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 - 43. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7670*l. Let m(k) = -7*k - 165. Give m(c(o)).\nAnswer: -53690*o - 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Suppose -3*u - 4*r = -10, r + 0*r = f*u - 3. Suppose 0 = -u*v - 2*k + 228, 0 = -4*v + k - 0*k + 446. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((150\/6)\/(-5))\/(1\/1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by -6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1949?\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 1617 = -15*j. Suppose -m + 38 = 3*s - 25, 4*m - 266 = 2*s. Calculate the greatest common factor of j and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1284229+18546\nAnswer: 1302775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -323*w + 365*w - 684*w - 189*w - 710*w to c + p*w and give p.\nAnswer: -1541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2108496 is divided by 3680.\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29004938 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p**5\/13 + 190*p**4\/13 + 498*p**3\/13 + 474*p**2\/13 + 154*p\/13 = 0.\nAnswer: -77\/6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20001 (base 3) to base 10.\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4789, 4782, 4763, 4726, 4665?\nAnswer: 4574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 f, 1 d, and 1 j when four letters picked without replacement from {m: 3, z: 1, f: 2, g: 4, j: 1, d: 1}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -1\/6, 0.0439?\nAnswer: 0.0439","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1549960 is divided by 2276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1248\/(-1232) - (-40 - 3614\/(-91)).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2112495831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - f + 8, -5*f + 10 = 7*u - 8*u. What is the lowest common multiple of u and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -2*x - 6, 3 - 9 = -3*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -13. Let x be (1 - -5)*(-8)\/h. What is the units digit of (-2)\/x - (-63)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 541750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -31*b - 9. Let t(m) = 16*m + 5. What is 5*t(h) + 3*z(h)?\nAnswer: -13*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 5. Calculate the lowest common multiple of y\/10 + 27\/5 and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 43*u - 813. Let d be o(19). Solve -z = -d*l + 10, 5*z = 5*l - 0 - 20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28183370773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 - 6.2. Let k = 26 - 22. Which is the nearest to 0? (a) y (b) 3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**4\/4 + 2*b**3 - 5*b**2\/2 + 3*b - 10. Give q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(91) + (2*((1*sqrt(91) - sqrt(91)) + sqrt(91)) - sqrt(91)))\/(sqrt(35)\/(sqrt(5) + 2*sqrt(5))).\nAnswer: -1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21577577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m. Let q be r(-1). Let f be (q\/(-18))\/(5\/15). Which is the closest to f? (a) -0.3 (b) 3\/2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -78*n**2. Let r(c) = -26*c**2. Determine 8*r(j) - 3*x(j).\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-3))\/(2\/14*7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-56)*-4 + 32\/84?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/13, -1\/2, 0, 3\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2087001 (base 9) to base 8\nAnswer: -4214332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-50141)\/(-286))\/(-29) - (1 + -7). Which is the third biggest value? (a) k (b) 1\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 960 and 31800.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/46018 and -15\/10108.\nAnswer: 1748684","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Round 136590 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 427749173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48033903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 2*y**2 - 17*y + 6. Let t be s(3). Suppose t = 4*a - 5*m - 11, a - 2*m + 19 = 2*a. Solve 4*j - 4 = -4*f, 0*j - a = j - f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434502*v - 440170*v + 209559*v.\nAnswer: -665113*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)*r*r*r*(r**6*r)\/r)**(-36) assuming r is positive.\nAnswer: r**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 23*s**2 - 4281*s + 138. What is z(-55)?\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 68655.93g in nanograms?\nAnswer: 68655930000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 12:35 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -5, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from sjbhoxboohxboxjhh?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -33713.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -350 - -358. What is the smallest common multiple of (-5088)\/(-72) - (b\/6)\/(-1) and 6?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.38, 3, 48?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 + 6*j**2 - 5*j + 2. Suppose 3*h - h - 8 = 0. Let b be m(h). Suppose 5*v = 2*v + b. Round v to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by 223671.\nAnswer: -15\/74557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145873*p**5 - 4*p**3 - 573008*p.\nAnswer: 2917460*p**3 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 3 + (-5 + 3 + 0)*(-1 + 4 - 1))*((0 + 0 - 2)*(4 - 1 - 1 + 5*l) + (-2*l - 1 + 1)*(-6 - 3 + 5)) to the form d*l + r and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12\/16*30\/(-9)*(-270)\/(-3375)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8763.\nAnswer: 3, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*f - 4492 = 1057, 5561 = 3*l - 5*f. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -61. Let i be g*1*(-4 - -3) + -617. Let q = -419 - i. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (8 - 0) + -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from {s: 1, n: 1, d: 4, p: 1, f: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666 bigger than 172371\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 16 - (-13 + -26)) + (5 + -9 - 7).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*s - p = 5, -p = -4. Suppose -s*x + 875 = 260. Suppose -b - 280 = -4*w, -4*b - x = -3*w - 2*b. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*w**2 + 4 + 40*w**2 - 1004*w**3 - 56*w + 56*w - 81*w**2.\nAnswer: -1004*w**3 + 2*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 13288016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqe when three letters picked without replacement from {k: 2, g: 2, e: 3, l: 1, t: 4, q: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1130 (base 5) to base 12\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 762.18678ms to hours.\nAnswer: 0.00021171855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 109 + 75. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57057 is divided by 62.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8727 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-68)\/(-24))\/(-17) - 7\/(-6). Let w be ((-380)\/304)\/(-1*r). Find t, given that -5\/4*t**2 - 1\/4*t**5 - t + w*t**3 + 1 + 1\/4*t**4 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5191572000 to the nearest one million.\nAnswer: -5192000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729935621.\nAnswer: 43, 809, 20983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 10 = 3*t - 0*t, -8 = -4*h. Suppose a - 71 = -3*a + i, -4*a - t*i = -76. 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: In base 13, what is -1c + -34?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n - 2. Let v be w(-1). Let q = -4 + 5. Let l be ((-9)\/12)\/(-5 - (-2 - 2)). Which is the closest to v? (a) l (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 78.046 litres?\nAnswer: 78046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 26*y. Let s(n) = 40 - 3 - 4*n - 24 - 5 + n. Determine l(s(t)).\nAnswer: -78*t + 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/5 (b) -0.008 (c) -201 (d) -1\/4 (e) 1 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 47590\/25 + -7 - (-6)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.02, -1\/7, -4, -1 in decreasing order.\nAnswer: 4, -0.02, -1\/7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4335 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 9*q + 45. Let z be b(-5). Suppose z = -4*g + 3*x + 12, -16*g + 18*g - 8 = x. Solve 8 = -7*h - g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 1303. Let l be k(0). Let t be l\/(-30) + (-2)\/(-12). Let g = 44 - t. Sort 2, -2, g in increasing order.\nAnswer: -2, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200, -506, -840, -1208, -1616, -2070, -2576?\nAnswer: -3140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + y + 1. Suppose p - 2 = u, -p - 2*u - 1 = 12. Let q be ((-2 - p) + 3)*2. Suppose 2*o = -4*b - q, -3*o + 4*o = 0. What is a(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13, -29, -45, -61?\n\"Answer: -16*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -300 - -296. Which is the nearest to -2\/15? (a) 3 (b) -3\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 4447530*a + 1648376925075.\nAnswer: 3*(a + 741255)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 11:33 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53.85 - -0.85. Let s = k - -42.1. What is s rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/2)\/(4\/(-8)). Let f be h + -3 + 0 + 2. Let a be (f - 1)*12\/(-18). Solve 3*c + 6 = 0, -2*l - 2*c - a = c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2*z**2 - 1 + 4*z**2)*(651*z - 64*z + 63*z) as a*z**2 + m*z + l + u*z**3 and give m.\nAnswer: 1300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 165 + -165.134. Let z = s - -0.034. Let p be (-18)\/4*(-3)\/(-9). Which is the third biggest value? (a) z (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7936 by 19.\nAnswer: -7936\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t - 45. Let f(q) = q - 5. Let r(a) = -2*d(a) + 18*f(a). Let z(y) = 42*y. What is r(z(h))?\nAnswer: 504*h","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69943758?\nAnswer: 2, 3, 11657293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5. Suppose 36*a = 29*a + 10703. Let r = a + -1526. Solve -r*i - 3 = -t*i, x = -4*i + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 106 = -4*d. What is the remainder when 43 is divided by 2\/5 - d\/(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20932171 and 0.139658.\nAnswer: 20932171.139658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 - -87. Calculate the greatest common factor of g and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wggg when four letters picked without replacement from {g: 15, w: 4}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -440*p + 11889. Give o(27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -583646.8 rounded to the nearest one hundred?\nAnswer: -583600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95837088?\nAnswer: 2, 3, 239, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) -3 (b) -1\/2 (c) -0.1 (d) -1\/21 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 23.4, 0.4, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153445 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = l - 3*y, 444*y - 48 = -4*l + 448*y for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 4, 3, -9, 8726, 1 in descending order.\nAnswer: 8726, 5, 4, 3, 1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 1, c: 1, f: 1, r: 1}. Give prob of picking 1 r and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2405 + -2402. Sort t, 4, 1, -9 in decreasing order.\nAnswer: 4, t, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1996 - 5221. What is r rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4489.97?\nAnswer: 4489.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 14*b. Let j(a) = -2*a**2 - 41*a - 211. Let q be j(-10). Let l(x) = -x. Determine q*w(o) + 28*l(o).\nAnswer: -42*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 4*l**2 + 16*l + 39. Let n be w(7). Let j(t) be the first derivative of 10 - 5\/3*t**3 - t + 1\/4*t**n + 2*t**2. Give j(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4697*u - 1169*u - 2612*u - 31836*u.\nAnswer: -30920*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 2257.371154174.\nAnswer: -2245.371154174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/((-24)\/(-28)))\/(5\/2265) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 14*b**3 - b + 1. Calculate the smallest common multiple of x(1) and 70\/15 - (8\/(-6) - -2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 864516.6ng in tonnes?\nAnswer: 0.0000000008645166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmmzzmzm. What is prob of sequence mm?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 32\/136*(-119)\/14\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -4037.88912671.\nAnswer: -4037.68912671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 359283, 718548, 1077791, 1437012, 1796211, 2155388?\nAnswer: 2514543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-103)\/((-16995)\/1760)*9\/(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 45 = -13*u. Is u at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*f**3 - 47 + 47)*(3 + 4 + 2) as o*f + u*f**3 + m + z*f**2 and give u.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 divided by 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 12 - 46*d**2 - 39*d**2 + 3*d + 13 + 27*d**2 - d.\nAnswer: -58*d**2 + 2*d + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 (base 11) in base 9?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*l + 3 + (35*l - 20*l - 38*l)*(-1 - 3 + 2))*(0*l + 3*l - 2*l).\nAnswer: 44*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 + 31. Is y\/2*(-37)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1264 and 101\/1264?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 6. Calculate the remainder when 18 is divided by w*(8\/(-4) - -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 0*i**2 - 1\/12*i**4 + 0 - 5\/6*i**3 + 111*i. Determine v so that l(v) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242441766.\nAnswer: 2, 3, 7, 1924141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 167*t**2\/8 + 15781*t\/2 - 189\/2 = 0.\nAnswer: -378, 2\/167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554 + 1526 = 5*x. Suppose -4*i = 4, -989 = 5*q - 2*i - 26. Let v = q + x. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**3 - 1004*o**2 - 155088*o = 0.\nAnswer: -108, 0, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -6.3. Let a = 67.11 - 68. Let j = a + 0.49. Sort j, -3\/8, p in decreasing order.\nAnswer: p, -3\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 6:45 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 6\/17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 565*-36.\nAnswer: -20340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**4 - 26*d**3 - 30*d**2 + 2*d + 10 = 0. Calculate d.\nAnswer: -5, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. Let r be 2\/(-6) - 3415\/(-120). Let m = -28 + r. Which is the nearest to -1? (a) y (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exwegxwywwwexygxeesx. Give prob of sequence ey.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 2)*(-1 - 2*q**3 + 4*q**4 + 5*q**4 + 18*q**4).\nAnswer: 135*q**4 - 10*q**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -16. Let t = g + -5. What is the nearest to -0.1 in 5, 2\/7, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuud when four letters picked without replacement from uduududuuduuud.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**4\/6 - b. Let q(o) = 1. Suppose -3*n - 8 = -2*n. Let g(t) = -2*t - 8. Let s(p) = n*q(p) - g(p). Determine v(s(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(16\/(-4))*(-2480)\/8060?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6011 divided by -5.\nAnswer: -6011\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1791950 divided by 3\nAnswer: -1791950\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 733276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (38 - -4) - (-67 + 34 - -47)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/88)\/(58\/(-957))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 584495?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3489, -2995, -2501, -2007, -1513?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.23 + 15. Let j = t - -0.05. Let g = j - -0.09. Is g greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 - -238. Suppose -q - 157 = 4*s. Let u = -24 - s. List the prime factors of u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -705138 - -1305917. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0875 + 276.9125. Let k = q + -276. What is the closest to k in -5, 4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*q - 23 = 0, s - 2*s - 31 = 5*q. Let k = -16 - s. Suppose 13*p - 31 = 34. Solve p = -3*n - k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from {g: 3, v: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1299*q + 1227*q**2 - 1426*q**2 + 1299*q.\nAnswer: -199*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.85 - 0.062. Let i = -101.912 - -102. Let h = m - i. What is the closest to h in -4.1, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.01804m in micrometers?\nAnswer: 9018040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10608 + 18852. Let o = a - 4657. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1131, -8550, -28555, -67440, -131499, -227026, -360315, -537660?\n\"Answer: -1049*d**3 + d**2 - 79*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159906?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132879 is divided by 214.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*1\/2*-2. Let p(u) = u**2 + 3*u - 5. Let q be p(-5). Suppose h + 2531 = q*h + 3*t, 4*h - 2534 = -i*t. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(20)\/sqrt(4))**2 - 5*sqrt(45) - (6*sqrt(20) + sqrt(5))*4.\nAnswer: -75*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/296751 and 25\/91.\nAnswer: 296751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - (0 - 62)) + -2. Let i = u - 42. Let c(r) = r - 1. Let b(p) = 6*p - 7. Determine i*c(k) - 3*b(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8411787 and 1620.\nAnswer: 1514121660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19 (b) -2\/25 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 37397*l**3\/5 - 224379*l**2\/5 + 67311*l + 27\/5 = 0?\nAnswer: -3\/37397, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s. Let l(t) be the first derivative of t**6\/120 + 7*t**3 + 10. Let d(o) be the third derivative of l(o). Calculate d(m(z)).\nAnswer: 108*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5362 - -15?\nAnswer: 5410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203660767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17438451983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 2:24 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001286805 rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > -417040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 2*s**2 + 7*s + 4.\nAnswer: -(s - 4)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 858 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t*((t*t**(-15))\/t*t*t)\/t)*t)*t*t)\/t*(t**(2\/5)\/t*t)\/t assuming t is positive.\nAnswer: t**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 19. Suppose -3*u + x = u. Let h = -0.01 - 0.29. What is the closest to 1 in h, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1224008753?\nAnswer: 11, 111273523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a**3 - 17*a**3 + 10*a**3 - 8*a**3.\nAnswer: -34*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-2)*((-15)\/(-25) + -1). Let g(l) be the second derivative of l**4\/12 - l**3\/6 + 3*l**2\/2 + 15*l - 56. Calculate g(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0, -0.1, -2, 37 in descending order.\nAnswer: 37, 1\/7, 0, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18, 54, 90?\n\"Answer: 36*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 1427*x + 102662. Calculate r(-76).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3852 from 27615786.\nAnswer: 27615785.6148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z + 4*z - 323*z**2 + 334*z**2 - 3 as r*z**2 + j + u*z and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (-4*(sqrt(78)*-3 - sqrt(78)) - sqrt(78)))\/(((sqrt(6) - 2*sqrt(6)) + sqrt(6))*4 - sqrt(6)).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21211 + 311111002?\nAnswer: 311023131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 1780, -6 in descending order.\nAnswer: 1780, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14752\/7 - -2113. Find the common denominator of p and 15\/164.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**3 - 11*w**2 - 10*w - 6. Let g be p(-13). Let y be (-3)\/(-2)*g\/36. What is y rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 16*n + 1. Suppose 0*m - 4*m + h = 34, 6 = -2*m - 5*h. Let j be r(m). Solve 7*k - j = -8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 - 3*b**3 + b**4 + 0*b**4 + (-3*b**3 + 0*b**3 + 4*b**3)*(4 + b - 4).\nAnswer: 2*b**4 - b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 16*u**2 + 13*u + 2. Let t be o(-15). Calculate the greatest common divisor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116569 and 43622.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 5. Let z be v(10). What is the second derivative of 0*j + 4*j**3 + j - z*j**3 wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3801 + 6374. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:39 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3 + 314791*n**2 + 235281*n wrt n.\nAnswer: -6*n + 629582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3613? (a) -6 (b) 2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 4*a**2 + 4*a - 3. Let h be i(-5). Let f be 4 + (5 + -2 - h). Let b be 2\/f + (-84)\/(-15). Solve 0 = 3*j + b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b**2 + 2*b - 1. Let q(k) = -k**2 - 1. Give o(t) + 6*q(t).\nAnswer: 2*t**2 + 2*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 11\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t**2 + t + 3. Let d(h) = 6*h**2 + 2. Let q(i) = -5*d(i) + 4*f(i). Let z(b) = 5*b**2 - 4*b - 2. Let s(o) = -6*q(o) - 7*z(o). Does 7 divide s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2473195*m**3 - 125924470*m**2 wrt m.\nAnswer: 14839170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*(d*d**32)\/d)*d**(3\/20) assuming d is positive.\nAnswer: d**(-637\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*p**4 + 1639*p**2 + 565181?\nAnswer: -36*p**3 + 3278*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 18166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (32 - (11 - 41))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1766 - 1762. Solve -17*z = -w*y - 19*z + 14, 3*z + 9 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 = 27156\/175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1446902545 to the power of 1\/3, to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 71740099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1429.412t in micrograms?\nAnswer: 1429412000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 41150*w**3 + 8*w**2 - 10*w + 7. List the prime factors of d(1).\nAnswer: 5, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5507 = -4*z + 15094, 0 = 5*z + 2*j - 11992. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 22*v + 4. Let d be a(11). Suppose -d*s + 0*s = 180. Let r = s - -52. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133 - -1362. Let q = b + -611. Suppose 2*n - 2*g + g = -q, g - 928 = 3*n. What is n rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3060)\/(-28152))\/((-9)\/((-864)\/40))?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - 2*g + 6*g)*(3*g + g - 2*g) - 4*g + 5*g - 2*g - 2*g**2 - 1 to the form j + c*g**2 + a*g and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432864 is divided by 33288.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/(408\/108)*(-5)\/(-15)*-2. Let q(p) be the first derivative of p**3\/3 - p + 3. Let a be q(-1). Solve -l*b + 23 = -a*j + 5*j, -5*b + 9 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -38871049 and -75.\nAnswer: -38871124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 340 + 3357*r - 24 - 292.\nAnswer: 3357*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -551, 18, -2, -3 in decreasing order.\nAnswer: 43, 18, -2, -3, -551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 280064430 and -17017.\nAnswer: 280047413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 + 23. Let x = -25 + 57. Calculate the remainder when w is divided by x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.141 - 0.141. Let n be 9 + -2 + 1 - 2. Let x be (-2)\/n - (-7)\/6. Which is greater: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 633 + 203?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 80 = -8*q. Suppose 9*b + 33 = 60. Sort b, q, 0.\nAnswer: 0, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*b*i**3 + 2*b*i**2 + 49*b + 1 with respect to i.\nAnswer: 168*b*i**2 + 4*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 2 = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1\/u)**(-37)*(u\/u**(-4\/5))\/u**6)\/((u\/(u*u**(2\/3)))**(4\/31)\/(u*u**(-1)*(u\/(u*((u*u*u**(2\/5))\/u)\/u*u))\/u)) assuming u is positive.\nAnswer: u**(-3029\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 12*d**3 - 4*d. Let i be 325 + -326 - ((-1 - -1) + 8). Let v(t) = -25*t**3 - t**2 + 9*t. Determine i*r(w) - 4*v(w).\nAnswer: -8*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 12 - 8 - 14*q - 2 + 10*q**2. Let j be u(7). Let r = j - 274. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/7, -25\/2, -1, -5, 72, 1\/21 in increasing order.\nAnswer: -25\/2, -5, -1, 1\/21, 8\/7, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 541 divide 19484390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**6\/50 + 3*d**5\/25 - d**4\/4 + d**3\/5 + 5*d + 8. Let h(v) be the first derivative of s(v). Factor h(c).\nAnswer: -3*c*(c - 2)*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60700282 is divided by 128.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -184 + 187. Let v = 8.592 - -0.408. What is the third smallest value in 1\/3, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 27. Let n = z - 7. Calculate the greatest common divisor of 40 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-176)\/(-40) - 1 - 4\/10. Solve h*t + 5 = -7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 408321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -150, -164, -196, -252, -338, -460, -624, -836?\n\"Answer: -g**3 - 3*g**2 + 2*g - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 10:19 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -480\/4815871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*p + 720 - 663 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007171626 rounded to six decimal places?\nAnswer: 0.000717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = -5*x, -2*t - 4*x + 24 = 0. Let g(b) = b - 4. Let p be g(t). Solve 3*l - 5 = -i + 8, 10 = i + p*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**2\/3 + 106*u\/15 + 44\/15 = 0.\nAnswer: -2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -62 - (-1642 - -1641)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/(8 - 2545\/315) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19048, 75877, 170572, 303121, 473512, 681733, 927772, 1211617?\nAnswer: 1533256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54405973667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 239 (base 14) to base 7\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*a**3\/5 - 19*a**2\/5 + 2*a\/5.\nAnswer: a*(a - 2)*(9*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6226255104?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 406841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - 8*p**2 + 4*p**2)*((-4 + 5 - 3)*(0*p + 2*p + 0*p) + 2*p + p - p).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -835 + 3154. What are the prime factors of p?\nAnswer: 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 16*w**2 - w - 1. Let n(u) = -u**2 - u - 1. Let a(f) = 5*n(f) - 5*t(f). Let g(y) = -y. Calculate a(g(o)).\nAnswer: -85*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53560 and 7640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) -1\/4 (c) 2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*v = -2, 0 = l - 4*l - v + 6. What is the tens digit of l\/(-11) - (-1602)\/99?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 30*c**3 + 3*c**2 - 2. What are the prime factors of j(1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 112057727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37638515?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n*u**6 - 24*n*u**4 - 7*n*u**2 + 20*n*u wrt u?\nAnswer: 240*n*u**3 - 576*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o + 12. Let b be j(8). Calculate the common denominator of 850\/264 + (-48)\/b and -93\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j - 25*j + 35*j + 18. Calculate the smallest common multiple of 712 and j.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmx when three letters picked without replacement from {x: 1, f: 1, b: 2, m: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/6*-1)\/(20\/1434). Let u = 238\/5 + a. What is the second smallest value in u, -2\/11, -28?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 equal to 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 5. Let s(n) = n**3 + 3*n**2 + 3*n. Let q be s(-3). Let y(f) = 0 + 3 - 12 - 3 - 9 - 5*f. Determine q*d(p) - 2*y(p).\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/(11*(-18)\/330).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2884 = 32*m. What is the first derivative of -159*k**4 + m - 51*k**2 + 158*k**4 - 29 wrt k?\nAnswer: -4*k**3 - 102*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 124583633?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x\/(x*x**9))\/x)*(x**10\/x)\/x*((x*x**(-4\/3))\/x)\/(x*x\/x**9) assuming x is positive.\nAnswer: x**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 14973818 in decreasing order.\nAnswer: 14973818, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(7\/6))\/y*y\/(y*y**(-4)) assuming y is positive.\nAnswer: y**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 14 = 6*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4 = -d, 24 = 3*h + 21 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x + 1. Let f be m(2). Let o = 29 + f. Let h = o - 17. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 17 = -z + 4*g, -2*z = 4*g - 18. Solve 22 - z = -5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmhqhqhhmh. Give prob of sequence mm.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7837, 32662, 74469, 133258, 209029, 301782?\nAnswer: 411517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-3)\/(72\/(-40))). Which is the smallest value? (a) p (b) -2\/177 (c) 0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2898 times -50?\nAnswer: -144900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -1\/32504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 5:45 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**3\/3 + 7*l**2\/2 - 9*l. What is u(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5\/2 - 667*c**4 - 10715*c**3\/2 - 14080*c**2 - 14758*c - 5368 = 0.\nAnswer: -4, -2, -1, 1342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/(-22) - 23400258\/(-1397)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 20. Let p(h) be the third derivative of h**2 + g + 0*h - 1\/24*h**4 + 1\/3*h**3. Let u(a) = 3*a - 6. Give 17*p(l) + 6*u(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*d + 45*d + 48*d + 4*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 3*j + p + 2, -3*p = 5*j + 6. Suppose 0 = -y - j*y + 10. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*n + 285007 = 65*n - o, 2*o = 2*n - 142490. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/15 (b) -4 (c) 1 (d) -43\/2 (e) -15 (f) 13 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10 from -385.\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + i + 10 = -x, 5*x = 3*i + 40. Suppose 5*f - 19 = 21. What is the remainder when f is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -28.219, -0.4, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-4 - (-2 - -2)). Let g(j) = 2*j**2 + j + 15. Let y(q) = -1 - 4*q**2 + 3*q**2 - 7 - q. Let s(f) = k*g(f) + 11*y(f). What is s(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.304 - -2373?\nAnswer: 2372.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -7, -226 in increasing order.\nAnswer: -226, -7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -2137991?\nAnswer: 2137990.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2486 + 4443. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17486.92 + 17487. What is the smallest value in 1\/3, a, -140\/9?\nAnswer: -140\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 611\/17 - 36. Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(11) + sqrt(396) + 0)**2.\nAnswer: 56*sqrt(11) + 555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 9902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 668620491 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**6\/120 - v**5\/12 - 3*v**4\/8 - v**3\/2 + 4*v**2. Let h be w(8). Let z be (-6)\/(-1 - -3) - h. Round z to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2. Let z = 2 - -43. Let d = -38 + z. Let l(r) = d*r - 2*r - 11*r. Give l(u(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/28449 and -121\/10734756?\nAnswer: 32204268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*q - 54 = -b, 2*q + 20 = b. Solve -66 + b = 13*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 991 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 1. Let o be u(4). Let x = 21 - 35. Let j = x + 18. Which is the closest to 2\/5? (a) j (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-101 + 37)\/(-64)*(1 + 0 - 6 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 53 = 18. Calculate the lowest common multiple of i and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8148 to the nearest 100.\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, -3, 3, 1, 45.\nAnswer: -3, -2, 1, 3, 10, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 - 3*u**2 + 27 + 0*u**2.\nAnswer: u**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 2 - 4 - -11 - 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 - 906 = 30*k. Let q(i) = -393*i + 3. Let f be q(5). Is f\/k + (-4)\/22 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(45) + 2 - (sqrt(80)\/(sqrt(4)\/sqrt(2)))\/sqrt(8))**2.\nAnswer: 24*sqrt(5) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 - 971*y**2\/3 + 482*y\/3 + 485.\nAnswer: (y - 485)*(y + 1)*(2*y - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 6:13 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 181*w**2 + 1 - 209*w - 305*w**2 - 46*w + 752*w**2 wrt w?\nAnswer: 1256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2629*h**4 + 16*h**3 + 4*h + 5326. Let n(g) = -5257*g**4 - 36*g**3 - 9*g - 10649. Let i(x) = 4*n(x) + 9*r(x). What is the derivative of i(b) wrt b?\nAnswer: 10532*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, -55 in decreasing order.\nAnswer: 2, -6, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/(-720))\/(34\/8)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 74586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from {m: 1, y: 10, v: 2, g: 4, e: 2}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/2 and -1\/54416?\nAnswer: 54416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.57 (b) -2 (c) -0.105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4 + 0*v**2 + v**2 - 11. What is the units digit of g(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + -8 + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**6\/60 + 21*y**5\/20 + y**4\/8 + 3*y**3 + 2*y**2 - 71. What is the second derivative of v(i) wrt i?\nAnswer: 12*i + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4420*h**3 + 5370*h**2 - 20*h + 20. Let f(j) = j**3 - 4*j**2 - 2*j + 2. Let s(q) = -10*f(q) + r(q). What is the third derivative of s(a) wrt a?\nAnswer: -26580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 82. Suppose -5*x + 5*a + 560 = 0, 2*x - 5*a - 115 = 100. Let f = x + t. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + 110486?\nAnswer: 110478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1269 and 3942.\nAnswer: 185274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/115 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3471\/7 + -496. What is the second smallest value in 13, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 6*t**2 - 4*t - 5. Let a = 7 - 2. Let p be g(a). Solve 4*j = -p*j + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19516 from -9.\nAnswer: 19507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28431 and 7418304?\nAnswer: 2187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 + -62. Calculate the remainder when b is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -619*n**4 - 66*n**4 - 775566*n**2 + 775557*n**2 + (-2 + 2*n**2 + 2)*(n**2 + 2*n**2 - 4*n**2) in the form w*n**4 + b*n**2 + k + g*n**3 + c*n and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (5 - -11532) - (-6)\/(-2). Suppose -x + s = 4*m - 0*m, -4*m + 5*x = -11560. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -70 and -0.5?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 57794.3 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -48.942. Let f = a + -152.058. Let u = f - -152.121. Round u to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -13*s**5\/20 + 11*s**4\/12 - 10*s - 20. Let o(q) be the first derivative of b(q). Find the third derivative of o(c) wrt c.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 11:58 PM?\nAnswer: 221","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76058?\nAnswer: 2, 17, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.094065 rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u + 2. Let x(w) = 7*w + 4. Let a(y) = 5*f(y) - 2*x(y). Let i be a(2). Suppose 16 = -i*d, 4*b - d - 14 = -2. Put b, 5, -4 in descending order.\nAnswer: 5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -2\/5 (b) 3 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7734912512?\nAnswer: 2, 23, 701, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbffeetebe. What is prob of sequence fte?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 3*i**2 - 3*i + 2. Let r be j(3). Let q(w) = -w**3 - 6*w**2 + 8*w + 3. Let v be q(r). Let m be (-242)\/(-308) + 2\/v. Which is smaller: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.163034 centuries to months.\nAnswer: 2595.6408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227680 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17819194*q**3 - 3*q**2 - 227039766*q wrt q.\nAnswer: 106915164*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 14 = 1. Let p(v) = v**2 - 26*v + 6. Let a be p(26). Sort -3, a, l in decreasing order.\nAnswer: a, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*u - 5*d, -2*u - u + 2*d + 10 = 0. Let o = 84 + -84. Which is the closest to u? (a) 0.4 (b) -4\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 9*v**2 - 9*v - 22. Let c be h(-9). Let s = 92 - c. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 9 + 6 - 33 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981449 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 13*v**3 + 2*v**2 - 3*v + 3. Let k(o) = 14*o**3 + 3*o**2 - 4*o + 4. What is 3*k(b) - 4*n(b)?\nAnswer: -10*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 559*z - 13607. Give r(24).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 383*x - 28483. What is m(-102)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.953, 1, 2\/31, -61\/12 in decreasing order.\nAnswer: 1, 0.953, 2\/31, -61\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7977.\nAnswer: 3, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + i**3 - 3*i**2 - i**2 to c*i**3 + u + d*i + p*i**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h = 23*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 0, 4, -72 in decreasing order.\nAnswer: 4, 0, -3, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447 = -112*m - 460 + 1133. Suppose 7*u - 40 = 3*u. What is the least common multiple of u and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*u**2 + 8*u - 8*u + 2*u**2 + 0*u + 0*u - u**2 + 4*u**2 - 2*u**2 + (-u - 4 + 4)*(4*u + u - 6*u) - 2*u**2 - u**2 + 2*u**2 + 6*u**2 - 4 + 4.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1482300599 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33050141 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -41\/847 in descending order.\nAnswer: -41\/847, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 4\/15*o**6 - 5\/2*o**3 + 8*o + 0 + 0*o**4 + 0*o**5 + 0*o**2. What is the second derivative of q(x) wrt x?\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (134\/(-201))\/((-1)\/(-12)*-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -4. Let k(b) = -b**2 - 9*b - 6. Let s be k(y). Is 10\/((-16)\/s + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 5*y - 532 + 487, 36 = 3*y + 3*r for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = l - 4*i - 8, -l - 5*i - 20 = 0. Suppose -c = r - 15170005, r + 0*c - 2*c - 15169990 = l. What is r rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 2*h**3 - 5*h**4 + 3*h**4 - 7*h**3 + 0*h**4 + 2*h**2 as c*h**2 + v*h**4 + w*h**3 + f + p*h and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48405 is divided by 214?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19162 to 3 decimal places.\nAnswer: 0.192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from uuee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (129 - 28)*(2\/(-14) - 11\/231*18)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.82 to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 10:32 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 131\/(-2489) + 3008\/114 + (-18)\/(-27)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21378.\nAnswer: 2, 3, 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181 - 181.0155. Let j = -0.0045 + f. Which is the third smallest value? (a) -2\/15 (b) -2 (c) 3\/2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -313007 or -312835?\nAnswer: -312835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pddp when four letters picked without replacement from ddddddppdd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**4 + 108*u**3 - 11*u**2 + 196*u - 244?\nAnswer: -12*u**2 + 648*u - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1116 - 776 = -4*f. Suppose 0 = 4*h - 5*b - 128, -119 = -68*h + 65*h - 2*b. Suppose -h = -4*x + 135. What is the greatest common factor of x and f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -151228.\nAnswer: 3\/75614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19046 - -32187. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/20*1*5. Suppose 0*p + 12 = -t*p. Let a(k) = -k**2 - 10*k. Is a(p) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -959 + 958. Let z(s) = 3*s - 3 - 2*s + 0*s. Let g(h) = -h. Give q*g(l) + z(l).\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -552*p - 8275. Let s be r(-15). Let w(c) be the first derivative of -8\/15*c**s + 0*c**2 + 2\/9*c**6 - 46 - 8\/3*c**4 + 0*c + 0*c**3. Factor w(u).\nAnswer: 4*u**3*(u - 4)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let c(x) = -3*x - 174. What is the smallest common multiple of c(-62) and n(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16086824.\nAnswer: 2, 13, 154681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from vvvrrrvrrvrvrvvv.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 - 301 = 26*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v + 33. Let i be c(10). Let b(u) be the first derivative of 3*u**2 - 2 - 7*u - 1\/4*u**4 + 4\/3*u**i. What is b(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 6*g**2 + 10*g - 13. Let o be a(-9). Let j be (-32066)\/(-38)*(-2)\/o. Let c = j - 6\/133. What is the common denominator of 145\/12 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -325 - 2*m - 3222*m**2 + 3221*m**2 + 2*m in the form x*m + d*m**2 + f and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 2*t**2 + 1\/6*t**3 + 0 - 5*t. Let s be z(-4). Let b(f) = f + 6. Give b(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -14. Let z be (i\/(-35))\/(2\/(-14)). Solve 2*s = 6, -j - z*s - 5 = -5*s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**3\/12 - 1026*d**2 - 4210704*d - 8794. What is p in k(p) = 0?\nAnswer: -4104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 363*i**3 + 50226*i**2 + 18228*i + 1656.\nAnswer: 3*(i + 138)*(11*i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + 4 + sqrt(1900) + sqrt(1900)*1*2 + 1))**2.\nAnswer: 5760*sqrt(19) + 274176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151 and 7242262.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 34 = -5*a - 2*f, -2*a + f = -13. Suppose -i = -4*l + 2*i + 58, -a*l + 2*i = -76. Calculate the highest common factor of l and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2591.7 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -45 + ((-2)\/(-7) - 253\/77). Let l be ((-4)\/n*3)\/1. Let f = -1 - -1. Which is the third smallest value? (a) l (b) -2\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126.283 - -0.283. Let a = s + 127.17. Round a to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 155*u**3 - 3*u**2 - 4821 with respect to u.\nAnswer: 465*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 22 in descending order.\nAnswer: 22, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 c, and 1 y when four letters picked without replacement from {y: 2, c: 2, w: 1, l: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119421 is divided by 59705.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29714239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -32*(280\/21)\/40*6\/(-2)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -869 and -2.4?\nAnswer: 866.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**3\/5 - 1065*i**2 + 7091568*i\/5 - 7086244\/5 = 0.\nAnswer: 1, 2662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 1)*(-6*t - 3*t + 5*t) - 2*t - 3*t + 3*t)*(0 + 0 + 2*t**4).\nAnswer: 12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-2 + 4)*4. Let s(j) = 6*j**2 - 8*j + 9. Is s(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 311, 313, 315?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 11:21 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326*v - 3 = -329*v. What is the nearest to -1\/6 in v, 5\/6, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 82, 162, 242, 322, 402, 482?\n\"Answer: 80*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84927 is divided by 452?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 497 - -387. What is the greatest common factor of 52 and a?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 8:00 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -2, 4, -3, 18, -8, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (72\/16)\/((-81)\/(-54)). Solve -x + 2 = -4*l, -209*l + 6 = -204*l + i*x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/3 - 125*a\/3 = 0. Calculate a.\nAnswer: 0, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137138?\nAnswer: 2, 191, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 362.9357 milligrams to tonnes.\nAnswer: 0.0000003629357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 8:36 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i = 23*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 483 - 183. Let y(d) = -d + 30. Let v be y(15). What is the greatest common factor of v and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/21910902 and 61\/18.\nAnswer: 65732706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/9, 0.15, -1, -0.4?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-198 - -90)) + -21?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*t + 97*t + 512*t.\nAnswer: 1014*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9330)\/(-27)*6 + (-10)\/(-15)?\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*w**4)*(-1514 - 789 + 1764).\nAnswer: 1617*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15108 is divided by 343.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**6)\/g)\/g*g)**(-49) assuming g is positive.\nAnswer: g**(-343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-1 + 5)) + 1 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, g: 9}. What is prob of picking 1 j and 2 g?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*z**2 - 70*z**2 + 32*z**2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from {g: 2, t: 1, x: 1, o: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, l: 6, a: 2, j: 3}. Give prob of sequence la.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 43889987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3\/8 (b) 0.1 (c) -2 (d) -0.023\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 155?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 65541 greater than 65600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -12) + 1 - 6 - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 120\/18 - (-2)\/6. Let p(k) be the third derivative of k**4\/8 - 5*k**3\/3 - k**2. What is the tens digit of p(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**3 + 2*l**2 - 2*l**3 + 5 - 2*l - 4 + 0 - 2*l**4 to the form m*l**2 + x*l + f*l**3 + c + w*l**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1067108 divided by 2.\nAnswer: -533554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735361?\nAnswer: 1735361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15126 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 0*a**3 + 0 + 0*a**2 - 6*a + 1\/6*a**4. Let p(t) = -7*t**2. Calculate b(p(w)).\nAnswer: 98*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 414*o**3 - 403*o**3 + 0.\nAnswer: 11*o**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 43 and 3238\/73 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 4*d**3 + 5*d)*(3*d - 3 + 3)*(-5*d + 5*d + d + (d - 7*d + 23*d)*(4 - 2 - 3) - 2*d + 3*d - 4*d).\nAnswer: -228*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.0423\nAnswer: 0.00846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(-2*s + 2*s + 7*s)*(-s**2 - s**2 + 4*s**2).\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9186677 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -568 - -790. Calculate the greatest common divisor of 370 and d.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 10*f**2 + 3*f + 1. Suppose 0 = -7*n - 2*n + 18. Suppose 4*r + 4*o = 20, 5*r - 27 = -o + n. Is k(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.27 and 0.059602?\nAnswer: 1.329602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.545? (a) -4 (b) 1 (c) -3 (d) 2 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160737 (base 10) to base 13.\nAnswer: 58215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*j + j + 225862 = 0. Let u = j + 1658. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 1292725*x**2 - 83556249915*x + 83557542645.\nAnswer: -5*(x - 1)*(x + 129273)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*h + 2*n, h + 4 + 0 = 2*n. Let z = h + 3. What is the third derivative of 4 - c**2 - 4 - 3*c**2 + z*c**3 wrt c?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1020 (base 3) to base 8\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 1, 5, 0.1, -4\/7, 2\/31, 399\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 6*k + 0*k - 11 - 13*k.\nAnswer: -8*k - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 329*g + g**4 + 0 + 50421834*g**2 - 50421831*g**2 + (3*g + 2*g - 7*g)*(-g**3 - 3*g**3 + 3*g**3) + g**4 + g - g.\nAnswer: 4*g**4 + 3*g**2 - 329*g - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -18240?\nAnswer: 18238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 1048*s**2 + 63744*s.\nAnswer: 4*s*(s - 166)*(s - 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, j: 2}. Give prob of sequence yy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 5*k**2 - 3*k**2 + 11*k**2.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15148206 * -0.1\nAnswer: -1514820.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49 + 5?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 724859.6 litres to millilitres.\nAnswer: 724859600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -3*x**6\/5 + 3*x**4\/8 + 2*x**3\/3 + 13*x**2 - 2. Find the second derivative of v(g) wrt g.\nAnswer: -432*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -857 divided by 1?\nAnswer: -857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 90*q**2 - 14*q - 4. Suppose 7*r + 26 = 5. Let s be g(r). Let j = s + -597. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311019 - 36519 = 150*f. List the prime factors of f.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1723787 to the nearest integer?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35553 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8187360 - v + 8187360.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2\/2 + 159*f - 25281\/2 = 0 for f.\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**2\/2 + 5. Let v(f) = -149*f + 1487. Let b be v(10). Let n(x) = 2*x**2 + 3*x - 5. Calculate b*o(d) + n(d).\nAnswer: 2*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 2157005354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1624*d**2 - 196*d + 196. Let w(u) = 25*u**2 - 3*u + 3. Suppose 45 - 88 = 4*c - 55. Give c*v(q) - 196*w(q).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/63*(-3)\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 3629*x**6\/30 + x**5\/20 + 167*x**4\/4 - x**3\/6 + 13077*x. Find the third derivative of a(f) wrt f.\nAnswer: 87096*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8148828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 525 - 528. Let y be -34*3\/(-48) - (p + 3). Let g be (2\/6)\/(3\/9). Is g at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3118 - 0.6118. Suppose 0 = 2*m - 2 - 0. Let r = 23\/63 + -2\/9. What is the closest to 1 in r, m, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2635721692?\nAnswer: 2, 211, 3122893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 2*v - 1. Let w(y) = 2*y**2 - 4*y - 1. Give 3*j(b) + w(b).\nAnswer: -b**2 + 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 5 - 6)*(-2*j**3 - 2*j**3 - 3*j**3) + 3*j**3 + 4*j**3 - 4*j**3 + (3*j - 3*j - j**2)*(4 + 2*j - 4) to p*j**2 + d*j + t + w*j**3 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g + 10. What is f(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(27\/(-24)) - (4 + 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -990, -1979, -2970, -3963, -4958, -5955?\nAnswer: -6954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-10) - 35\/(-25). Let s be r\/(-10)*(-5 + 3). Let i be 1\/3 - (-28)\/(-30). What is the smallest value in i, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -556650*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4181444983 to the nearest integer?\nAnswer: 64664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 35*y + 3. Let j be k(3). Let t = -76 + j. Suppose 15 + 18 = 3*p. Calculate the remainder when t is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12335, 24722, 37109, 49496?\nAnswer: 61883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**35*n*n**35*n**(2\/47)*n**(-2\/11))**(-39) assuming n is positive.\nAnswer: n**(-57681\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*f**2 - 36*f**2 - 120 - 107*f + 101*f + f**2.\nAnswer: -58*f**2 - 6*f - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, j: 1, p: 4}. What is prob of sequence ppj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 28. What is the derivative of j + 10*j - 1 - i*j + 3 wrt j?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 46. Suppose 4*s = -27 + 63. Let i be 1*3*(-3)\/s. Which is bigger: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sishiogsgg. Give prob of sequence shos.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4cc0e (base 16) in base 7?\nAnswer: -2446365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 17*b = -18, 0 = 7*z + 3*b - 295 + 237 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25436 (base 14) to base 11.\nAnswer: -62727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 1)*(-1 - 2 + 5)*(3739*f**3 - 4534*f**3 + 3236*f**3) to the form g*f**3 + q*f**2 + h + k*f and give g.\nAnswer: 4882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 499 - 23 = 0. Let t = -38 - k. What is the remainder when t is divided by ((-123)\/(-6))\/1 - (-19)\/38?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = -2*u + 8, -5*u = -20. Suppose -3*x - 177 = 5*y, -a*y = 4*x - x + 105. Let p be (-2)\/(-8) + 33\/y. What is the nearest to p in 5, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-284)\/(-2840)*(0 - (-6)\/1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03 + -0.15. Let y = b + 0.06. What is y rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -2\/3*q**3 + q - 5\/4*q**4 - 1 + 0*q**2. Let m be l(-1). Solve m = o + 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14\/3*h**5 + 8*h**4 - 64\/3*h**2 - 8*h + 0 + 26*h**3 = 0. Calculate h.\nAnswer: -2, -2\/7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194557141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(45) + ((sqrt(405)*-1)**2 - sqrt(45)) + -5)*6.\nAnswer: 2412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*d + 3426 = 4101 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 5100.\nAnswer: 30600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 11:21 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215344?\nAnswer: 2, 43, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from cpkkkbchbc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 21 - 7 = 0. Let a(w) = -3*w + 10. Let g be a(y). Suppose -h = -4*b + g, -3*b + h - 4 = -26. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00127022288 to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22605 + -22497. Solve -39*j - 87 = l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 650 - 651. What is the second smallest value in u, -6, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 233 - n - 484 + 236. What is r(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12655084 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5877937?\nAnswer: 13, 17, 26597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Let x be (-2 + -3)\/(1 + 0). Which is the nearest to j? (a) -2\/9 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 112 + 30*y - 10 - 29*y - 9*y. Calculate u(20).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j - 1. Let i = -18 - -15. Let k be o(i). Suppose 0 = c - 2*c - 2*d, 0 = 3*c - d - 14. Solve -c*n + k = v - 5, n - 9 = v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j**3 - j - 1. Let a be s(-1). Suppose -a = 2*l - 2*m, 3*l + 0*m - 4*m + 10 = 0. What is the least common multiple of 3 and ((-2)\/l - 2)*-5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1692 - 1699. Let y(s) = -3*s + 8. Let k(r) = 4*r - 9. Let d(x) = 4*k(x) + 5*y(x). Determine d(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/856 and (15\/(-19) - 0)\/((-10807)\/303).\nAnswer: 16264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244 divided by -1.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6845247 rounded to three dps?\nAnswer: -4.685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -5525.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 4*u**3)*(848 + 495 + 250 + 868) in the form t + j*u + l*u**2 + x*u**3 and give x.\nAnswer: -9844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - -4 - (-3 + 1 + -6). Solve -7*z + 9*z - j = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18844 divided by 45?\nAnswer: 18844\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6737\/63 + -965\/9. Which is the second smallest value? (a) -136 (b) 0.1 (c) q (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/6)\/2*(-4 - -13). Let x(c) be the first derivative of 0*c**2 - 4*c + w*c + 2*c**2 + 16 + 21*c. Differentiate x(h) wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five halves of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 15*j**2 + 11*j + 17. Let h be w(13). Let d be (-267)\/h - 2\/4. Solve b + d - 5 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + q + 3. Let w(b) = 1. Let c be (-7)\/(-4) - (-2)\/8. Let o(n) = -4 + 1 - 1 + c. Let v(l) = 2*o(l) + 5*w(l). Calculate -i(u) + 5*v(u).\nAnswer: -2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*1*(-119)\/14. Suppose 0 = 2*l - v + 5. Let y(f) = -f**3 + f + 22. Calculate the least common multiple of y(0) and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**2*g*r - 898658*f**2*r**2 - 3*f**2*r + 2056*f*g**3 - 32*f*g*r + 96*g**3*r**2 wrt r.\nAnswer: -1797316*f**2 + 192*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0285476953 to five decimal places.\nAnswer: 0.02855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1126 and -1?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38 and 0.05.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 5*z**2 - 3*z - 4. Differentiate r(a) wrt a.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/27*(-3)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -4. Put -11, c, 2 in ascending order.\nAnswer: -11, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -337020650, -674041299, -1011061948, -1348082597?\n\"Answer: -337020649*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/6 - (-2346)\/884?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3128\/204*(-18)\/248 and 47\/3?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 + -1.3. Let f = 30.3 + -29.3. What is the smallest value in -1, g, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -234*q**3 + q - 297. Let l(f) = f**3 - f - 1. Let x(n) = l(n) + y(n). Find the first derivative of x(g) wrt g.\nAnswer: -699*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 - 1.5. What is the nearest to -1 in l, 0, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130854518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -11*h**3 + 2. What is i(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + sqrt(5) + 4).\nAnswer: 5*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 8339352\nAnswer: -1\/1389892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3953581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 568223, 568210, 568197, 568184?\n\"Answer: -13*q + 568236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -711 * -0.03931.\nAnswer: 27.94941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 93*b + 14 = -94*b, 0 = -4*m + 3*b + 18. Let s(y) be the third derivative of y**5\/60 - 5*y**4\/24 + y**3\/2 - 6*y**2. Calculate s(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3)\/9*(9\/(-1) - 3)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 54 - 2*x - 54 + 3*x. Let q(k) = 7*k**2. Give a(q(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccrcrccc. What is prob of sequence crc?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99 - (64 + 70 + -92).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29522 is divided by 259.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 19579707.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3649 = m, m - 4*l + 5*l = 3667. Let i be m + 4\/(-4 + 3). What is i rounded to the nearest one hundred?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of ((2754\/45)\/(-17))\/(24\/(-115620))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(5*-1*sqrt(21) - 2*1*sqrt(21)))\/(sqrt(297)\/(sqrt(132)\/(2*sqrt(12)) - sqrt(11))))**2.\nAnswer: 343\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by 5460.\nAnswer: 53\/5460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94*g - 183 - 287 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 24.4, 4\/5, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -784 - 4?\nAnswer: -788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n - 128*n**2 + 139*n**2 - n + 4*n.\nAnswer: 11*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0986 - 0.11578. What is r rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -3. Let z be ((-1)\/(-3))\/(o\/(-24)). Let k(r) = 2*r - 6. Let w be k(z). Solve -5 = -w*n + 7*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799554817 a multiple of 569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(2\/3)\/f))**(-39)\/(f**(1\/7)*f*f**(-1\/3)\/f)*(f*f**(-2\/3))**7\/(f**(2\/7))**(26\/5) assuming f is positive.\nAnswer: f**(-9446\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1. Let c(p) = -p + 8 + 3*p + 0*p. Calculate c(n) + 6*z(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 70, -0.2, 0.5?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-8))\/1*240*(-72)\/(-7560).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3178298 - 1188.\nAnswer: 3177110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*sqrt(275) + -2.\nAnswer: -15*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, x: 15}. What is prob of sequence xg?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82004.7 micrograms to tonnes.\nAnswer: 0.0000000820047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*w - 2, -2*t - 2*w - 14 = -6*t. Suppose -2*i + 5*i - 9 = 0. Suppose 0 = g - 1 - i. Calculate the least common multiple of g and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 10:09 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 5, u: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -11350 and -11346 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -777*h - 569*h - 19320 = -926*h for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610974773 to the power of 1\/3, to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*a + 25. Let l = -36 + 38. Suppose l = -c + 42. Calculate the greatest common factor of c and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -166?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -4 + (-22 + 30 - (2 + 2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + -38. Let m be 304\/t - 3*-1. What is the second smallest value in m, 5, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-19\/5)*x**(1\/2)*(x\/(x*x**(-2\/33)\/x*x*x))**(-1\/7) assuming x is positive.\nAnswer: x**(-7313\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((2\/3)\/((-88)\/(-132)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + g + 3 = 6, 87*g + 5 = -5*j + 90*g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1254329ml in litres?\nAnswer: 0.0001254329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000014036 to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 424.3 - 424. Suppose 3*w + 4 = 7*w. What is the nearest to w in -0.11, s, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 1, g: 2, c: 1, p: 1, x: 2}. Give prob of sequence gg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-580)\/15*5*(-42)\/(-700))\/(6\/(-5))?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18 + 1491509.\nAnswer: 1491509.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 1. Let v(y) = 32*y + 10. What is 10*c(x) - v(x)?\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 20 - 4. Which is the nearest to 1? (a) u (b) 2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaf when three letters picked without replacement from aajjaaajbqaabqbbfqff.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**4\/12 - 5*j**3\/6 + j**2\/2 + j. Let h be 8*(-12)\/(-144)*-6. What is n(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/49*(-1)\/(-2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f**2 - 10*f - 75. Let r(j) = 7*j**2 - 7*j - 50. Let k(h) = -5*c(h) + 7*r(h). Let x be k(-13). Is x at most as big as -156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*2 + -1 + sqrt(1800)\/sqrt(10).\nAnswer: -1 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -248, -553, -960, -1457, -2032?\nAnswer: -2673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 6. Let w be v(0). Let j(c) = 48*c - 51*c - 1 + 0 - 5. Let p(x) = -2*x - 3. Let h(r) = 5*j(r) - 7*p(r). Determine h(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*b**3 + 227*b**3 + 104*b**2 + 212*b**3 + 243*b**3 - 898*b**3.\nAnswer: -2*b**3 + 104*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3626 greater than -3625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-2 + 5) - 0. Let d be x\/(-14) + (-16)\/(-7). Let f = -179 - -181. Solve 0 = 2*t + d*j, f*t = -8*j + 3*j + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 242 - 242.3. Which is the nearest to -0.1? (a) -1 (b) i (c) 3\/7 (d) 128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2098 + 2098. Sort 0.03, -5, k, -23 in decreasing order.\nAnswer: 0.03, k, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.05, -1.2, 1.9, -157, 3?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -28*s**3 - 5*s**2 - 3*s + 3. Let n(y) = -14*y**3 - 3*y**2 - 2*y + 2. Let t(z) = -3*a(z) + 5*n(z). Let w be t(1). Which is smaller: w or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/14)\/(17\/357). Suppose 5*m = s*c + 3*m - 17, 0 = 2*m + 8. Calculate the greatest common divisor of 6 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 345230927?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2434 - 2434 - 645155*t**2 + 322576*t**2 + 322585*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46285, 46279, 46269, 46255, 46237?\nAnswer: 46215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89280 and 77400.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 1. Let l(k) = -k**3 - 7*k**2 + 8*k + 5. Let c be l(-8). Suppose -q - 21 = q + c*x, x = q - 7. What is d(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5830606*z**2 + 1 + 5830370*z**2 - 11660832*z**2 - 4.\nAnswer: 144*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*w - 175 + 55. Sort 1, w, -19 in ascending order.\nAnswer: -19, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -7*v - 6. Let r(s) = -20*s**2 + 6*s - 20. Let h(q) = -7*q**2 + 2*q - 7. What is v*r(g) + 17*h(g)?\nAnswer: g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69\/10 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-4)\/((-476)\/(-1071))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 92394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.650563ml?\nAnswer: 0.006650563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and 3?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - n**2 + 2*n - 3. Let y be d(0). Let g = y - -5. Factor -5*k**2 - 2904 + 3*k**g + 2906.\nAnswer: -2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/36 + -7\/36. Let t(a) = a**2 + 9*a - 3. Let c be t(-9). What is the closest to 1\/3 in c, 1\/4, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1983.\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 12, o: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhm when three letters picked without replacement from mmhmhmmm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 9*j**2 - 9*j + 11. Let s be h(8). Suppose -w - s*i + 1 = -4, -5*i = -w - 11. List the prime factors of 7*w*(-2)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -762265404 divided by 4?\nAnswer: -190566351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 22*x = -56, -5*b - 1989*x = -1992*x + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 30*k**2 + 15*k. Let n(a) = -a**3 - 8*a**2 + 97*a + 44. Let q be n(7). Let m(p) = -12*p**2 - 6*p. What is q*m(r) - 5*w(r)?\nAnswer: -6*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13301584337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -62.2 and -5?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 15*b + 16. Determine k(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14805820 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gtttggt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.44 * -0.089.\nAnswer: -0.03916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 771156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - ((8 - 17) + 2 - (-11 + 1))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1535 + 1535 + 243*n)*(-21*n - 27*n + n + 8*n).\nAnswer: -9477*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 3, 0.1, -0.14, -1\/3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*o - 4*i + 89, -4*o = 3*i + 69. Let z = 28 + o. Is 314 - 0\/(z - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -169*m**3\/3 + 10231*m**2\/3 - 86056*m\/3 + 65348 = 0. What is m?\nAnswer: 62\/13, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 6. Let i be p(-8). Let k = -8 - i. Let c(n) = -n**2 + 6*n. Determine c(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 74541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11821595 to the power of 1\/2, to the nearest integer?\nAnswer: 3438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/14)\/((-12)\/(-21))*552\/230.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -45 + 10 + (13 - 11).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -589, -607, -657, -757, -925?\n\"Answer: -3*s**3 + 2*s**2 - 3*s - 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5 + 437*k**4 + 22095*k**3 + 293103*k**2 + 1502064*k + 2674620 = 0.\nAnswer: -381, -39, -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2781 <= -2781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 623420 and 4690?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emczqnn. What is prob of picking 1 m, 1 z, and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 0*l**3 - 19*l**2 + 0*l**5 + 0*l + 1\/12*l**4 + 0 + 0*l**6 + 2\/35*l**7. What is the second derivative of z(u) wrt u?\nAnswer: 144*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -131317?\nAnswer: -393951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -100228067.\nAnswer: -30068420.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 10053*m + 210. Let h(t) = 5609575*t + 117215. Calculate -3349*d(x) + 6*h(x).\nAnswer: -10047*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1245620 divided by -10210.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 5. Let b be g(-5). Suppose 4*k - 1 - 3 = 0. Let o be 3\/(-3)*(-2 - k). Solve -o*p + 11 + 4 = b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + 4 + sqrt(102)\/(2*sqrt(6))*2*-2)*3.\nAnswer: -18*sqrt(17) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6603?\nAnswer: 3, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2484)\/161)\/(-6)*(4\/3)\/((-10)\/5).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2. Let c(h) be the first derivative of 7*h**2 - 17*h + 4741. Give c(y(q)).\nAnswer: 14*q**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -159*q + 2. Let k be u(-2). Let n = k + -138. Suppose 0 = -3*m + 5*j + n, -m + 174 = 2*m + 3*j. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -198, -742, -1642, -2892, -4486, -6418, -8682?\n\"Answer: a**3 - 184*a**2 + a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*l**2 - 91*l**2 - 92*l**2 - 68*l**2 + 287*l**2 - l.\nAnswer: -33*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 450*f**2 - 2181*f - 19562. Calculate r(445).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((1 - 0) + 39 + -47 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5)*u*u*u**(-2\/9)\/u)**(-36\/5) assuming u is positive.\nAnswer: u**(-104\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 5)*(2*x + 0*x + 0*x)*(x**2 + x**2 + 0*x**2).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 9*y - 20. Suppose 0 = -f - 5*c - 5, f - 7 = -0*c + c. Let h be v(f). Solve 4*m + 3 + 1 = -4*o, -m + 1 = h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/116)\/((-32760)\/54810).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 301423 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (5 + (sqrt(128)*2)**2)*6 + 4*(sqrt(128) - -4*(sqrt(128) - sqrt(128)*-2 - sqrt(128) - sqrt(128))**2)).\nAnswer: 32*sqrt(2) + 5150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 3906860?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 24 + 18 = b, -22*u = 2*b + 60 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*o - 5*x + 2*x, 0 = 4*o - 3*x - 31. Suppose 4*y - 121 + 45 = -o*h, -3*h + 99 = 5*y. What is the remainder when y is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.16 plus -6041.14606?\nAnswer: -6039.98606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.623 + -0.277. Sort 3, 0, b in increasing order.\nAnswer: b, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, o: 7}. What is prob of picking 3 o and 1 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4 - 16. Suppose s - i = -0*s. Suppose -4*r = -11*r - 162*r + 338. Solve -s*l + r = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.4, -10, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-113399)\/(-44) + 1 + (-1)\/4. Let y = l + -768247\/298. Let w = 4315\/596 - y. What is the common denominator of w and -31\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40020979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118241 and 5222.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(8\/(48\/5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -1606*v - 73883. Calculate d(-46).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 267*d*p**3 - 364*d*p + 5*d + 43*p**4 + 2*p - 9 wrt p.\nAnswer: 1602*d*p + 516*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 3 + -4)*1. Let b be -7 + (1 - 0\/x). Let n(m) = -8*m**2 - 3*m + 10*m**2 - 4*m**2 - 2. Let p(u) = -5*u**2 - 7*u - 5. Calculate b*p(g) + 14*n(g).\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -282*b**4 - 7*b**2 + 68*b + 20. Let o(x) = 282*x**4 + 6*x**2 - 67*x - 17. Let t(s) = 6*k(s) + 7*o(s). Find the second derivative of t(d) wrt d.\nAnswer: 3384*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 8*j**2 - 6*j - 6. Let m be s(6). Let g be 6\/m + 28\/10. Suppose -4*x = -2*x. Solve 3*a + g + 0 = x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4*1 + (356\/48 - 2) and 101\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -858*o**3 - 101*o wrt o.\nAnswer: -5148*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - 15053?\nAnswer: -15033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015632319 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2485 and 1015371.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10024, 40118, 90272, 160486, 250760, 361094, 491488?\nAnswer: 641942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*v + 28*v - 7*v to the form b*v + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*y**5 + 2*y**4 - 1233*y**2?\nAnswer: 2700*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2\/3*z**2 + 0 - 14\/3*z = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 0*g**4 - 16*g - 2\/3*g**3 + 2*g**5 - 6\/7*g**7 + 0 + 0*g**6 + 0*g**2. What is p in z(p) = 0?\nAnswer: -1, -1\/3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124041118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 508 + -58. Is (-3 - 0) + m\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 188 = -8*q. Find the first derivative of -188*u + q*u + 2 - 7*u**4 wrt u.\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8573.513ml to litres.\nAnswer: 8.573513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50151 - 34122?\nAnswer: 12025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 1 + 4)*(-2*f + 5*f - f)*(-1 - f + 1) to the form b*f + n*f**2 + g and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -48 * 0.0169\nAnswer: -0.8112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpzy when four letters picked without replacement from znmzpmyzmzynmyyn?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156136 and 10.\nAnswer: 780680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 356283 and 2898790.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, -53, -192, -411, -716, -1113?\nAnswer: -1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13237*g - 239555*g + 24930*g.\nAnswer: -201388*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 61176 times 790\nAnswer: 48329040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23014245555 + -10?\nAnswer: -23014250005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 79\/510 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80158.\nAnswer: 2, 13, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3633183, 3633184, 3633185, 3633186, 3633187?\nAnswer: 3633188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43)\/(4945\/(-46)) - 31\/65?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five quarters of a year?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o - 1. Let j be b(-2). Suppose 0 = -25*z + 52*z - 81. Suppose 2*t + j*t = z*t. Let n(u) = -u + 14. What is n(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/2*108\/(-18). Suppose 2*l + 76 = x*l. Find the common denominator of l and 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**26)\/d)\/d**14)**15 assuming d is positive.\nAnswer: d**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 2*l**2 - 17*l - 2. Let z be s(9). Let w = z - 18. Sort w, -3, 3 in descending order.\nAnswer: 3, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-62))\/(((-81)\/1215)\/(9\/90))?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -88 - 141?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -2*u + 288. Does 6 divide 191\/3 + u\/(-54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 5*s - 14 = -11*w, -24 = 2*w - 4*s. Let g(o) = -2*o**2 - 2. Let z(f) = 6*f**2 + 7. Give w*g(y) - 3*z(y).\nAnswer: -2*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by (4 + (-5)\/3)\/(1\/36).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 1:08 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 6:54 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.9 - 23.9. Let i = 52\/3 - 17. Let u be (-1)\/((5\/(-2))\/(-1)). What is the nearest to i in b, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*f + 1037, -f = 4*f - 2*s - 1305. What is the remainder when f is divided by 123?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12242?\nAnswer: 2, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**6\/45 + u**5\/15 - u**4\/18 - 2*u**3\/9 + u + 45. Let z(r) be the first derivative of n(r). Let z(x) = 0. What is x?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2164.8 and 0.0155?\nAnswer: 33.5544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*k + 91*k - 2*k in the form z + l*k and give l.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 11, 38, 85, 158, 263, 406, 593?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 26 + 2*w**3 - 4*w**3.\nAnswer: -2*w**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**2 + 108*x - 105 = 0.\nAnswer: 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(242) + (0 + sqrt(242) - sqrt(242)))**2 - sqrt(242)) + 3.\nAnswer: -481 - 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -539*p**2 + 1. Let f(k) = 2*k. Determine f(i(w)).\nAnswer: -1078*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/30)\/((-240)\/64).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.61 + -0.21. What is the nearest to -2 in 1, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + k + 5. Suppose 3*s - 6*s = -s. Determine g(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - -1) + 3 + -5. Suppose -4*c = 18 - 2, -12 = -z*p + 3*c. Solve -t + f + 4 = p, -3*t + 0*t + f + 12 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 5)*(6*y + 0*y + 0*y) - 8 - 2*y - 9 + 15)*(-2*y**2 - 3*y**2 + y**2).\nAnswer: -16*y**3 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 93396 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: -0.4+1799471081866\nAnswer: 1799471081865.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34 + -3142307?\nAnswer: -3142253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.18 and -0.1.\nAnswer: 0.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {k: 1, z: 1, y: 11}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -255*d**3 - 6*d**2 - 7*d. Suppose -9 = -3*s + 15. Let l be u(s). What is l rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**3 + 11*q**2 - 13*q + 12. Let g(i) = 16*i**3 + 56*i**2 - 65*i + 61. Let o(j) = -2*g(j) + 11*t(j). What is the tens digit of o(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, -95, -224, -407, -644, -935?\n\"Answer: -27*a**2 + 6*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36326.\nAnswer: 2, 41, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26879*c + 4344*c**3 - 26879*c.\nAnswer: 4344*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -177.90021 and 0.1?\nAnswer: 178.00021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 16*y. Let x(s) = s. Give -2*w(h) + 10*x(h).\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 50 (b) -0.21 (c) 2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 21*y + 27*y - 294 + 205. Let g be b(2). Solve g*t - 15 - 6 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/3*60\/10. Suppose 2*m - 6*m + y = 4*x, 3*x + 18 = 5*m. Suppose -1 = -m*q + 2. Are 4\/11 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 5*x**4 + 5*x**4 + 2*x**4 + 2 to the form i*x**4 + u*x**3 + g*x**2 + f*x + a and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 - 2517*v\/2 - 2519.\nAnswer: (v - 2519)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + z + 3*z + z**3 + 4*z**2. Let h be l(-5). Let d = 6 - h. Solve 0 = 2*j + 5 - d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bc7aa (base 15) in base 9?\nAnswer: 2500437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 71\/70?\nAnswer: 71\/70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = -17*z - 44*z + 1250 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 18 = -r - z + 4*z, -8*z + 21*z - 10*z = 21 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b = -12. Find the second derivative of o - 6*o + 14*o**4 - 15*o**b wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*t - 26*t + 945 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41812173 and 702.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 16*m**2 - 20420*m - 143722. What is q(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*q - 4 + 4 + 61*q**5 + 7 wrt q.\nAnswer: 1220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2728, 11462, 26018, 46396, 72596, 104618?\nAnswer: 142462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -1\/4*a**4 + 0*a**2 + 5 + 0*a - a**3. Factor l(c).\nAnswer: -c**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-623)\/(-91) + -7 + (-93)\/(-13) and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -256, -254, -248, -238, -224, -206?\n\"Answer: 2*g**2 - 4*g - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 480, -0.2, 9, 0.1 in increasing order.\nAnswer: -0.2, 0.1, 9, 480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740003 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r + 2*r - 14*r + 7*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64 or 893\/14?\nAnswer: 893\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**14\/d*d*d**(-3\/7)*d*d**(1\/11)*(d\/d**(-8))\/d)**35 assuming d is positive.\nAnswer: d**(8725\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s - 32 = 0. Suppose 2 = -3*q - 2*y + 51, y + 69 = 4*q. Let j = q - s. Solve 0 = -v - 2*v + j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/20*84*332\/(-1743)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q. Let p(b) = 6*b**2 - 437*b - 17. Let y(j) = 2*j**2 - 146*j - 6. Let w(s) = 6*p(s) - 17*y(s). Determine w(i(o)).\nAnswer: 2*o**2 - 140*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134363557*v**4 - 66262390*v + 3.\nAnswer: -1612362684*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, j: 3, c: 2, f: 8, l: 5}. Give prob of sequence cfc.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(2299)*-2 + -2)**2 - (sqrt(2299) + -4 + sqrt(2299) + 3)**2).\nAnswer: 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10 + 1)*3640\/(-2184).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 0) + (-843 - -891)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6786133 and -0.063.\nAnswer: 427526.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*t - 46, 5*o + t - 71 = 52. Let m = 14 + -9. Suppose -4*y = -3*i - 59, -y = -3*y - m*i + 23. Calculate the remainder when o is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1989\/136 - 15)*(-20)\/(-1515))\/((-2)\/(-4))?\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57437.9 - 57437.9620102. Let y = -0.412 - -0.35. Let o = g - y. Round o to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3472 to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/1340 + -22543\/18760. Let h = 1374\/301 - -2\/301. Calculate the common denominator of x and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 h, and 1 y when four letters picked without replacement from {g: 4, y: 2, h: 2, r: 12}.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1285*p + 12*v + 42 = 1282*p, 0 = 5*p - 2*v - 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9*b**2 - 46*b - 7. Let h be o(6). Solve -3*t - 41 + h = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)\/d*d*d*d**(-3\/4)*(d**(-2\/7))**(-2\/33) assuming d is positive.\nAnswer: d**(-5297\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/(-5) - 4\/10. Let s = -6 - t. Solve -g + 4*r - 7 = s, 3*g - 2 = r + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + x - 15 + 17.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 u, and 1 s when three letters picked without replacement from {k: 2, s: 1, l: 1, z: 1, u: 1, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2258903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14585, -14586, -14587, -14588?\n\"Answer: -f - 14584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -30*q + 27*q. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/3505970 and -95\/70328.\nAnswer: 827408920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13018, 52397, 118142, 210253, 328730, 473573, 644782?\n\"Answer: 13183*z**2 - 170*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**5\/30 + q**4\/8 + 2*q**2 - 16*q. Let t = 6 + -8. Let z(b) = b**2 + 2*b. Determine t*n(d) + 3*z(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**3\/6 + 2*a. Let l(b) be the third derivative of -1\/60*b**5 + 0*b**4 + 0 + 0*b**3 + 0*b - b**2. What is l(q(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24056, 192412, 649380, 1539266, 3006376, 5195016?\n\"Answer: 24051*b**3 - b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 3. Let f(k) = -6*k + 9. Let m = -231 + 214. What is m*d(p) - 6*f(p)?\nAnswer: 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.04*6.\nAnswer: -150.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6831 and 2525538?\nAnswer: 250028262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 11*g**2 - 6*g**3 + 0*g - 2*g**2 + 0*g**3 = 0. Calculate g.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9000 is divided by 8679?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-18)*(55\/5)\/(-99)*-2.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 5*a + 13. What is the remainder when 29 is divided by d(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s = -21*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 173, 470, 1177, 2498, 4637, 7798?\n\"Answer: 34*c**3 + c**2 + 56*c + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.5139965 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -89 + -8?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - 161\/(-42)*4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*c**4*w - c*w - 271*w with respect to c.\nAnswer: 224*c**3*w - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/17, 1\/2, -9, 1, -4, -17\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341*s + 8283492 - 65573197 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.217 and 14?\nAnswer: 14.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 462*x**2 - 2*x + 25270 wrt x?\nAnswer: 924*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 514670, 514669, 514668?\nAnswer: 514667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48229663 + 0.18300481.\nAnswer: 48229663.18300481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1063 + 2128 - 1064 - 3*l - 2*l.\nAnswer: -5*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309057, -617633, -926209?\nAnswer: -1234785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25\/2, 3, 0.2?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.46 - 184.54. Let g = t + 88. Let c = 104.2 + g. What is c rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 194*r - 838 - 326 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93 - -48) + -2 + 1 - -13?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 0 (b) -0.3 (c) -2 (d) 0.5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b - 39276 = -39420 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -56*q**2\/3 - 52*q + 12 = 0?\nAnswer: -3, 3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 6*b**2 - b + 6. Let i be j(6). Suppose m + i*m = 2. Factor 6*p**4 - 15*p**m + 10*p**3 - 3*p**4 + 2*p**3 + 0*p**3.\nAnswer: 3*p**2*(p - 1)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 - 29*y**2 + 6*y - 55. Let x be f(-15). Which is greater: 48 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + -19.6. Let b = z + 20.00006. Round b to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p**2 - 1. Let h = 7 + -5. Suppose -h*l - 6 = l, -m = -l. Let q(b) = b**2. Give m*a(i) - 9*q(i).\nAnswer: -i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/5 + (-1672)\/1485 + 470\/216?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 71.14842 millennia?\nAnswer: 711.4842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 582.7208 + -165.\nAnswer: 417.7208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 3*x + 15 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1831.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(4\/23)\/(r\/r**12) assuming r is positive.\nAnswer: r**(257\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*l + 40 = -4*d, 2*l = -3*d - 68. Let r = 5 + d. What is the common denominator of (-33)\/(-88)*(-226)\/r and 27\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(((u*u**(-2))\/u)\/u)\/u*u)**(-1\/12)\/((u*u**2)\/((u*u*u*u**(-7))\/u)))**(-1\/47) assuming u is positive.\nAnswer: u**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 2 (b) -2\/1185 (c) -4 (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215.4 - 215.3. What is the nearest to -2\/3 in c, -2, -7, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -261.0000137 + 261. Round s to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(153)*-1 - sqrt(153)) + -2*(sqrt(153)*-1)**2 + 4*(5 + (1*sqrt(425) - sqrt(425))).\nAnswer: -286 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/7475 and -64\/7431645?\nAnswer: 37158225","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107429 is divided by 232?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(3 - (-267)\/(-90)). Let d be (12\/z)\/(2\/10). Let f be (2 + -2)*11\/11. Solve -2*i = d - f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v**3 + 5*v**2 + 11*v - 5. Let g(w) = 7*w**3 - 6*w**2 - 12*w + 6. What is -5*g(b) - 6*s(b)?\nAnswer: b**3 - 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2400 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {y: 1, o: 4, p: 2, h: 2, v: 2, c: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655323 is divided by 46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -82*i**2 + 5. Let x(r) = 97*r. Determine y(x(q)).\nAnswer: -771538*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5 = 13. Suppose 2*y = -r*x - 60, -5*x - 2*y = 47 + 29. What is the tens digit of 3*(-3 + 2) - x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 49, 37, 17, -11, -47, -91?\n\"Answer: -4*d**2 + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1170*d**2*r - 65524*d**2 - 2*d*r - 6*r + 15834064 wrt d.\nAnswer: -2340*d*r - 131048*d - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 486745 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 1, h: 1, x: 1, o: 1}. What is prob of picking 1 x and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*y + 5. Suppose 4*q - 341 = 5*q + 3*o, -2*q - 687 = y*o. Let p = q + 552. Is p a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyqy. Give prob of sequence yq.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5 - 7 + 2 + 158*k**6 + 39885*k**2 - 42408*k**2 wrt k.\nAnswer: 18960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -31*k**3 - 8*k**2 - 2*k + 12. Let g(h) = 31*h**3 + 6*h**2 + h - 10. What is 4*g(p) + 3*w(p)?\nAnswer: 31*p**3 - 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = -1. Let i = -3 - -7. Suppose -6 = -g*b + w, -4*b + i = -2*b - 2*w. What is the remainder when 4 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -4276 (b) -0.3 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 228177 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 12 + (0 - 6) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*m - 8 + 3, 3 = 3*u. Suppose -5*v + 7 + 8 = m. Let f(c) = c**3 + 6*c**2 + 3*c - 1. Calculate the remainder when f(-5) is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 4*b + 38, -2*n - b = 2 + 15 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 5) + 1 + 0 + -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*v + v - 5*g + 1863 - 1748, -4*v + 116 = -4*g for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130 or 521\/4?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -96155\/8 less than 1\/341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 20 = 2*d. Let q = -146 - -104. Let p be (q\/70)\/(1 + 10\/(-4)). Which is the nearest to p? (a) d (b) -2\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (7 + 40 + -6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 3\/2)*10. Let x be ((-1)\/(-6))\/(16\/(-48)). Let u be ((-1)\/(-10))\/((-16)\/(-20)). Which is the third biggest value? (a) x (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/243 and 22\/405?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*x - 60 = 0, 2*p - 3*p = -5*x. Suppose p*u + 9 = 9*u. Are -7 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - i - 2*i = 2, 0 = 4*t + 5*i. Suppose -f + 29 = 2*a + 2*f, t*f = 4*a - 47. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12\/23 (b) -245\/6 (c) -5 (d) -2\/5 (e) 1 (f) 1\/5 (g) 11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 255?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 29*b**3 - 9*b**2 - 4*b - 8. Let p(q) = 29*q**3 - 7*q**2 - 3*q - 6. Calculate 4*p(k) - 3*w(k).\nAnswer: 29*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*w = -6060 - 6067. What is the remainder when 236 is divided by w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-6 + (4 - 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 5. What are the prime factors of 3*(66\/(-9))\/o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ucuprplucircccupccrp. Give prob of picking 3 u and 1 c.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 0 + 0*b**3 - 1\/12*b**4 + b + 0*b**2. Let a(x) be the third derivative of x**4\/24 - 2*x**2. Give a(h(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(0 - (-22 - 1)). Let k = -18 + y. Solve -2*u = 3*u + k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.151 + 0.151. Which is the nearest to 2\/3? (a) k (b) -0.3 (c) 4\/5 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {d: 2, t: 12, g: 2, z: 3, x: 1}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -2*v + 10*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**3 - 8*n**2 - n - 6. Let h(q) = q**3 + q**2 - q - 1. Let x(v) = 2*h(v) + s(v). Give x(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 + 54 + 13*u - 109)*((3*u + 3*u - 4*u)*(-5*u**2 + 0*u**2 + 3*u**2) - 1 + 1 + 3*u**3).\nAnswer: -13*u**4 + u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 4147 = -3*y. Is y a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 9. Let w(d) = -2*d**2 - 10. Determine 3*g(f) - 2*w(f).\nAnswer: f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 6*n - 6. Let m be g(3). Suppose h = 3*s + 3*h - 49, s + m*h = 14. Calculate the remainder when 53 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*(sqrt(605) - sqrt(605)*1))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 981941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1528*g + 202*g + 483*g - 1314*g in the form w*g + d and give w.\nAnswer: -2157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 14229308 and 0.49.\nAnswer: 14229308.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27274\/3 + -9091. Solve -2\/3 + s**2 - 1\/3*s**3 - 1\/3*s**4 + d*s = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxxxxxxxxxxxxxxxgxx. Give prob of sequence xg.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1458 - 1455. Solve 2*u + 10 = 5*i, -z*u + 0*u + 3*i + 3 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k + 4*k + k + 3*k to t + v*k and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93934 is divided by 189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*z**3 - 12*z + 11*z - 9*z**3 + z.\nAnswer: -43*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 192 - 1305 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -71, -69, -67?\n\"Answer: 2*p - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**6\/360 - l**3\/6 - 3*l. Let v(t) be the second derivative of m(t). Let j(b) = 2*b**2. Give v(j(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1909795*n**2 + 395855*n + 150.\nAnswer: 5*(29*n + 6)*(13171*n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 14*g - 20. Let z be d(12). Let n(v) = v**3 - 6*v**2 + 6*v + 4. Give n(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/10*-8*5. Let -6\/7*l**3 + 3\/7 - 9\/7*l**j + 6\/7*l**2 + 9\/7*l - 3\/7*l**5 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 9:01 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 75904, 151839, 227802, 303793, 379812, 455859?\n\"Answer: 14*y**2 + 75893*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 217?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-6))\/((-1)\/(-30)). Solve -c*b - 14 = 3*t, -7 = 3*b - t + 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-20))\/((-2)\/100)*932\/(-1864).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 49, 205, 465, 829, 1297, 1869, 2545?\n\"Answer: 52*t**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1013, -1629, -2245, -2861, -3477, -4093?\nAnswer: -4709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-5)\/3*(-4)\/(-60). Sort 1\/7, 0, b, -2 in increasing order.\nAnswer: -2, b, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*i + 8*i - 12987 = -290*i for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(65))\/sqrt(5))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 356, -3, 22.4, 2.6, -0.2 in decreasing order.\nAnswer: 356, 22.4, 2.6, 2\/3, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9378351 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-8) - 65\/(-10). Suppose n*b = -2*b + b. Solve 3*v + 2*v = b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -17.9. What is the biggest value in k, 2\/7, -18?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 = 339*i - 120*i + 652 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (640\/(-70))\/(30\/105)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 173, 222, 321, 494, 765?\n\"Answer: 4*m**3 + m**2 + 18*m + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*d + 2*d. Suppose d*k + 0*k - 36 = 0. Let a be (8\/(-12))\/(6\/k). What is the biggest value in a, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 less than 0.0447?\nAnswer: -50.9553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - 8) + -2 - -3 - (-15 + 23)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*m**2 + 33*m**2 - 33*m**3 - 20*m**3 + 121*m - 121*m + 54*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, o: 3, r: 13, d: 3}. Give prob of picking 2 d.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -207, -417, -627, -837, -1047, -1257?\n\"Answer: -210*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9158 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 231528 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 67a?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-286)\/(-26) - (-1 + 0). Solve -m + 4 = g + d, -5*g - 2*d = 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-1))\/4)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 7:45 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*w**3 + 16*w**2 - 15*w**3 + 21*w**3 wrt w?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, d: 2, z: 6, x: 3}. What is prob of picking 1 d and 3 r?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58073, -77759, -97431, -117083, -136709, -156303?\nAnswer: -175859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1545 = -5*n - 413, -2*b + 5*n = -1302. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*c + 32*c = -47*c + 31284. Is 46 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-4)\/(-2) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.076, 4, 0, -1\/2?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31001302112 (base 4) to base 16.\nAnswer: -341c96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 785, 1367, 2065, 2933, 4025?\nAnswer: 5395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/4 of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(48) + -4 + -4)**2 - ((sqrt(48))**2 + 3 + 5*sqrt(432)).\nAnswer: -148*sqrt(3) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-1*5 - sqrt(114) - -5*(sqrt(114) - sqrt(114)*-2))*2)\/(((sqrt(240)\/(sqrt(20)\/sqrt(2)) - sqrt(24)) + sqrt(24))\/(1*sqrt(4)*-5)).\nAnswer: -90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -392094 and 11.4904?\nAnswer: 392105.4904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, g: 1, p: 4, q: 1, n: 1}. Give prob of sequence ge.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + h - 5 = -3, -5*h + 12 = -3*x. Suppose -x = -m + 3. Solve n + 3*z - 4 = 14, 7 = m*n - z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23022, -22934, -22822, -22686?\nAnswer: -22526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 2*t + 11. Let g be y(3). Let h be (6 + (g - 1))*-5. Let n(k) = 5*k - k + 2 - 3*k. Calculate n(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-151)\/302*(-6)\/5. Put -0.059, 0.5, 0, c in decreasing order.\nAnswer: c, 0.5, 0, -0.059","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j - 128. Calculate the highest common divisor of 32 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5058.9 weeks?\nAnswer: 50993712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -i - 0*i - 2105, 4*z = 5*i + 2803. What is the units digit of 2\/7 + z\/42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((26\/(-13))\/6)\/((-1)\/4227). Suppose 5*p + 3*g + 161 = -1241, 0 = -5*p + 4*g - v. What is p rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1042*p - 698*p - 64380 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -10. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**5\/60 + 5*i**4\/24 + i**3 + 59*i**2. Give t(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - p - 3*p + (-p + 0*p + 2*p)*(-1 + 1 + 2) + 4 - 4 + p + (-5 + 3 + 0)*(-126*p + 57*p + 61*p).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1106 + 62 = -4*z. Suppose -3*h = -6*h + z. Is 29 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(1 + 3\/(-4)). Suppose 4*u - c = 52. Let k be (6\/(-30))\/((-4)\/100). Sort u, k, 3 in descending order.\nAnswer: u, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13556458 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 713946\/167 greater than 4275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 3:08 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/(-12 + 178\/15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 6. Let x be ((k - -4) + -2)*-1. Let o = 34 - 10. Calculate the highest common factor of o and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/11525284 and -69\/7960.\nAnswer: 115252840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 3*w - 44, 5*w = -5*t + 48 - 8. Solve -15*s - 70 + t = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525232 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -817 - -812. Let l(p) = -p**2 - 3*p + 22. Let s be l(-6). Sort f, s, 11 in increasing order.\nAnswer: f, s, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2 + 2924*m + 945714 = 0.\nAnswer: -979, -483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 144\/227 + -1069\/2043. Let j = -7 + 36\/5. What is the biggest value in k, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (7 + -21 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c*c\/c**(1\/6)*c)\/c)\/c**(-1\/8))\/((c\/c**(4\/3))\/c**0))**(-10\/13))**(21\/4) assuming c is positive.\nAnswer: c**(-1925\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * 14880.\nAnswer: 208320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -9986, 4, -3, -2293.\nAnswer: -9986, -2293, -4, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -3. What is the remainder when 24 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -652*g**2 + 478*g**2 + 422*g**2 - 2.\nAnswer: 248*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 112146 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 3:35 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 102380579023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -206bb (base 13) in base 5?\nAnswer: -3331130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4555 + 9396. Calculate the highest common divisor of 103 and g.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 10 = 3*j. Suppose -j*h - 130 = -a - 419, -h + 3*a = -91. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10588 = 25*h - 11268 - 39769. Calculate the smallest common multiple of 1530 and h.\nAnswer: 44370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 17965584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 152310.35 and 15.\nAnswer: 2284655.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6048 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/2985, 0.05, -4, 1 in descending order.\nAnswer: 1, 0.4, 0.05, -2\/2985, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.398, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*m - 3 + 141. Sort 5, m, -3.\nAnswer: m, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = w - b - 6, 0 = 5*w + b - 9. Let j(m) = -4*m**2 - 2 + 2*m**3 + 2*m**2 + 4*m + 0*m**3 - m**3. What is j(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2365533*n**2*r**2 + 5384*r**2 + 13*r + 6 wrt n?\nAnswer: -4731066*n*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116773930 and 56?\nAnswer: 467095720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000044454048 rounded to seven decimal places?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4027, -4384, -4741, -5098?\nAnswer: -5455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1382421951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from yyhhbyhyzzhzizjjj.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 9731896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -54*f + 1092. Let h be c(20). Solve -16*p = -h*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + w - 1 + 2*w + 0 + 0 + (-4*w + 2*w + 4*w)*(-1 - 4 + 7) - 2 + 2 + 2*w - 2*w - 3*w + 4*w)*(w - 1 - w - 2*w).\nAnswer: -16*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0979456638 to five decimal places.\nAnswer: -0.09795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -32407, -0.04, 3\/131?\nAnswer: 3\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -208 + -c0c?\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2247 divided by -21\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32.5 + -14. Let b = 18 - a. Let v = 3.9885 + 0.0115. What is the second smallest value in -2, -2\/17, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -19.845.\nAnswer: -99.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -2 + (6 - 8) + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 - 78*f**4 + 5*f**2 + 3 + 79*f**4 + 5*f**3 to the form p*f**3 + r + u*f**4 + a*f + n*f**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 199*x + 240 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = -2*z. Let h = z - -6. Suppose 0 = -4*q - m + 6 + 21, -4*m = h*q + 4. Solve 0 = -3*j + 2*x - 2 + q, -3*j - 3*x - 9 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*((-6)\/(-3))\/2. Let c = 11 - u. Let t be ((-2 - -5) + -3)\/c. Solve -q = 2*o - t*o - 7, 5*o + 4*q - 22 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2145804927.\nAnswer: 3, 7, 1669, 61223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*c - 12, 0 = g - 4*c - 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m + 7*m - 16*m)*(38*m - 21*m + 18*m).\nAnswer: -595*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15229731 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -18 + -1)*2\/(-4). Let g be (1\/(a\/(-4)))\/((-7)\/175). What is the greatest common factor of g and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 12*n + 9. Let z(t) = 7*t - 1. Is z(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.1 - 4.71. Let r = h - -0.11. Let y be ((-4)\/14)\/((-27)\/21). Sort r, y, 0.4.\nAnswer: y, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -43*s - 3 + 2 + 48*s. Suppose -n = 0, 0*n = q + 4*n - 3. Let b(h) = 24*h - 4. What is q*b(u) - 14*w(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieidi. Give prob of sequence idi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -525 - -1139. Let n = w + -96. List the prime factors of n.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 1)*(c**3 - 5*c**3 - 2*c**3) - 87*c**3 + 18*c**3 + 18*c**3 to v*c**2 + h + g*c**3 + b*c and give g.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1516 + 1517. Sort -3, -2, 0.3, i.\nAnswer: -3, -2, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2. Suppose 6*t - 21 = 15. Let y(a) = -7*a**2 - 3*a + 3. Let f(i) = i**2 + i - 1. Let h(n) = t*f(n) + 2*y(n). Calculate h(s(r)).\nAnswer: -72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 f when four letters picked without replacement from wwffwwffwwwfwwfwwww?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219537 is divided by 21950.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5770 is divided by 2874?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76.6 - 55.6. Let g = -357 - -336.1. Let v = g + x. Which is bigger: 1\/2 or v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 28 = -2. Suppose -g + p = -0*g - v, -25 = -5*g + 4*v. Let i = 5 + g. Solve 3*q = i + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10376873 is divided by 625.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - d**2 + d - 1. Let b(h) = -2*h**3 - 6*h**2 + 5*h - 3. Calculate b(p) - 3*k(p).\nAnswer: p**3 - 3*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -0.012 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from myhm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 259*z - 512. Let p be q(2). Let n(y) be the third derivative of 0 + 0*y + 0*y**5 + 0*y**4 + 1\/40*y**p - 4*y**2 + 0*y**3. Find j, given that n(j) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Let a be 0 + -3 - (9 + (-602)\/(-4)). Let h = a - -163. Which is bigger: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4) - (-22302)\/24. Let n = a + -631. Let c = 1484\/5 - n. Which is smaller: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 10 - 6. Suppose s*d = 7*d + 19. What is the remainder when 74 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 - 80 - 24 + 30*n - 169*n.\nAnswer: -139*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29735194 smaller than 29735196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 37*c + 221. Let x be j(22). What is the tens digit of (-7)\/(35\/45) + x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.2656069m?\nAnswer: 265606900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 333059521 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. Suppose 5*i - 12 + 2 = 0. Factor 2*g**4 + 3*g**i - 2*g**2 - g**4 + b*g**3.\nAnswer: g**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 3:02 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, -2, 5, -1, 30 in ascending order.\nAnswer: -2, -1, 2, 5, 7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -1 + 7. Suppose m*d + d = 9. Suppose -5*v + 0*v - d = r, r - 2*v - 32 = 0. What is the highest common factor of r and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - ((-940)\/41 - (-340)\/(-2856)*-42)?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (0 - (7 - 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -22 + 142. Calculate the remainder when 34 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 3*x**2 + x - 3. Let a be l(3). Suppose a*o + o - 12 = 0. Let g be (-2)\/6 + 4\/o. Solve g = b + 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*n*u + 4779*n - 208*u - 16 wrt u.\nAnswer: -44*n - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 526*z + 11487. Give h(-24).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 410 and 370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 184826\/21 or 8800?\nAnswer: 8800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*1\/4*4. Let d be 6 - (-8)\/(-2) - y. Let g(s) = -4*s + 4. What is g(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 1121?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (-13 - 0) + -15 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6232201657 - -4?\nAnswer: -6232201653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*k - 33*k - 78 = 0. Suppose k*j - 2656 = 3098. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1638)\/(-105) - (-8 + 23)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*((-30951)\/(-4))\/((-219)\/146). Calculate the highest common divisor of 171 and z.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47445.52 nanoseconds to seconds.\nAnswer: 0.00004744552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*k - 13, -2*y = -2 + 4. Suppose 0 = -v + 3*v - 3*r - 17, 0 = k*v + r - 5. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0104221 rounded to four dps?\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -0.3 (c) 0.3 (d) -101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.037?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-234)\/(-825) - (3 - (-847)\/(-275)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258984014.\nAnswer: 2, 1123, 115309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48219.\nAnswer: 3, 16073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 277 = 28*n. Let k be (-2 - -1)*(n - 10). Which is the smallest value? (a) k (b) 0.1 (c) 52 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmv when three letters picked without replacement from {v: 2, l: 1, m: 4, f: 6, j: 1, c: 4}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1489898333 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9\/2 + 29\/6. Which is the nearest to j? (a) -0.3 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -289, -576, -863?\n\"Answer: -287*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*d - 9 = -0*o, -22 = -2*o - 5*d. Suppose o - 3 - 2*q**2 + 7*q + 6*q - 9*q = 0. Calculate q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfzyfhdz. What is prob of picking 1 d and 2 z?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -14157905.7?\nAnswer: 14157905.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113 - -112.7. Let y be ((-6*1)\/2)\/4. Let m = 3.03 - 0.03. Which is the second biggest value? (a) m (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117565, -233721, -349867, -465997, -582105?\nAnswer: -698185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3, 0 = -5*p - 5*q - 4 - 16. Let v = 1 - p. Suppose -f + 1 + 2 = 0. Solve -v*a + 6 = -4*y + 18, f*a - 16 = -2*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d + 1987 = 1447 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3103, -5677, -8237, -10777, -13291, -15773?\n\"Answer: n**3 + n**2 - 2584*n - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3851\/166 + 1\/830. Let j = 403\/15 - c. Let k**5 + 2\/3*k + 0 + 3*k**2 + j*k**4 + 5*k**3 = 0. Calculate k.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.7 or 392?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 3089064.\nAnswer: 12356256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2. Let r(l) = -21*l - 4. Let x = -20 + 23. Suppose -5*m = 5*j - 40, 3*j + x*m + 8 = 8*m. Let g(z) = -1. Let d(h) = j*g(h) - r(h). Give k(d(y)).\nAnswer: -882*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5031202 to the nearest integer?\nAnswer: 2243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 68703991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6378756 centuries to years.\nAnswer: 63.78756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 257945273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -ca9 (base 13) in base 4?\nAnswer: -201313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 7*t + 3. Let w(n) = t - 4*n - 3*n + 2*n - 8*n. Does 38 divide w(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67 - 45) + (18 - -59) - (-3 - -21)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5391 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*c - 3*c - 59226, c = -2. Suppose 3*o + 4*t + 43478 + 942 = 0, 4*t + n = -4*o. What is o rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000445597 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 8:11 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, n: 2, a: 2}. What is prob of sequence iin?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 + 6*t**2 - t**4 - 2*t**2 - t - 2*t**2 + 3*t as h + c*t**2 + x*t**3 + o*t + g*t**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.7852?\nAnswer: 1.5704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36.54 - -37. Let m = h - 0.06. Sort -5, m, 2\/7 in decreasing order.\nAnswer: m, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5666642319 to the nearest 100000.\nAnswer: -5666600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -574 + 573.6. Let x = 7 - 6.7. What is the closest to x in 0.5, -4, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 51*m**6\/70 - 213*m**5\/70 + 3*m**4 - 4*m**3\/7 - 117*m + 180. Let k(f) be the first derivative of r(f). What is t in k(t) = 0?\nAnswer: 0, 2\/17, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + q - 11 = 0, 3*n - 5*q - 176 = -123. Suppose 12 = 3*g + g. Solve g*m - n = t, 0 = -0*t - 3*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**3 + 33*y**2 + 6*y + 1. Calculate j(9).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850323.\nAnswer: 3, 17, 16673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/7 + 27*p**2\/7 + 264*p\/7 + 80 = 0. What is p?\nAnswer: -4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2391, -1, 3.\nAnswer: -1, 3, 2391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Suppose -5*p - 2*s + 12 = 0, u = 2*p - s - 2 - 1. Let q = 2 - 3. Put q, 5, p in decreasing order.\nAnswer: 5, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.3, -4\/7, 241, -1 in descending order.\nAnswer: 241, 6.3, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 31*k**2 - 54*k + 122. Give q(-29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7936095 divided by 7\nAnswer: 7936095\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 12*i + 436. Calculate s(0).\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 2*o**3 + 7*o**2 + 15*o**2 + 19*o**2 - 42*o**2 - 1 in the form f*o**3 + l + p*o + x*o**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -85284 divided by 9476\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-14) - (3 - (-598)\/(-91)). Suppose -25*b = -20*b - 10, 0 = -g + h*b + 1853. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 + 2*g**2 - 6*g + 6*g**2 - g**3. Let u be c(4). Let h(r) = r**2 - 7*r - 11. Is h(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -220 + 836. Suppose -m + 9*l + 220 = 4*l, w = 3*m - 4*l. What is the greatest common divisor of 25 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205883?\nAnswer: 205883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1208393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 34\/5, -4\/84717, -1\/4 in descending order.\nAnswer: 34\/5, -4\/84717, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + n**2 + n + 1. Let j be m(0). What is the tens digit of ((-4)\/5)\/(j\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1542, 1528, 1514, 1500?\n\"Answer: -14*p + 1556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -117, -1, 11, -5, 344 in decreasing order.\nAnswer: 344, 11, 4, -1, -5, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3773, -7319, -10635, -13709, -16529, -19083, -21359, -23345?\n\"Answer: 2*x**3 + 103*x**2 - 3869*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2850\/190*8\/(-16)*8\/(-42)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-8)\/28*7. What is the nearest to -0.1 in -5, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i\/i**(2\/3)*i)\/i*i)\/i**(2\/7))\/(i*i**(1\/4)*i)**29)\/((i**(-5)*i\/i**(-4)*i)\/((i**(-2\/3)\/i)\/i**(-1\/3))) assuming i is positive.\nAnswer: i**(-1835\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/10 - (-2)\/(-4) - -1. Is d > -1\/70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/18)*f)\/f**(1\/25) assuming f is positive.\nAnswer: f**(857\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**4 + 180*h**3 + 1234*h - 40*h**3 + 135*h**2 - 1234*h = 0.\nAnswer: -27, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a - 3. Let p = -2 - -4. Let o be q(p). Let l be (-50000)\/(2\/(-112)*o). What is l rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m + 105 = -13*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20314 + -20313.9. What is the nearest to 0.2 in -4, 3, q, -2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/10)\/(21\/(-10)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 138 = -5*u, -6 = 2*u + u. Suppose -5*q + k = -q. Suppose 113 = 5*y - 107. What is the smallest common multiple of y and q?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 21 = 4*p - q, -p + 5*q + 10 = 0. Suppose 5*d - 37 = -7. Let k be d*2 + (-33)\/(-11). Solve 0 = -p*m - 0*m + k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 146, 3016, 10808, 25982, 50998?\n\"Answer: 410*f**3 + f**2 - 3*f - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 785\/9 - 12\/54 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.7. Let h = 7603\/9 - 845. What is the biggest value in -2, 0, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {q: 1, n: 4, b: 2, j: 7, v: 1, u: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.04 - 0.64. Let p = w - 49.9. Let q = p - -49. Which is the fourth biggest value? (a) 2 (b) q (c) 3 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13646800 and 39240?\nAnswer: 122821200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -4 (b) -1 (c) -2\/41 (d) 2\/5 (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-5657.\nAnswer: 1131.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*t = 135*t + 110. Solve -4*x + 4*w + t = -2*x, -4*x + w = -6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18567570?\nAnswer: 2, 3, 5, 7, 17, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004905 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*2)\/sqrt(11)*-2)\/(1*sqrt(27) - sqrt(3)*-2*-4).\nAnswer: 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8311)\/(-63) + 7\/(-49). Let m = i - 132. What is the nearest to -1 in 0.2, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*23.54.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -102 in 0.3, 62, 13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72128\/128 + 2\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**9\/5040 - q**6\/720 + q**4\/12 + q. Let w(l) be the third derivative of c(l). Find the second derivative of w(x) wrt x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36, 140, 314, 558, 872, 1256?\n\"Answer: 35*l**2 - l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -15 + 5. Suppose -3*q + 3*y = -129, 4*y - 2*y = s. Suppose -4*j - 3*o = -0*j - q, 5*o + 65 = 3*j. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23506 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k + 10. Let l(q) = 16*q - 29. Give -8*i(c) - 3*l(c).\nAnswer: -8*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1142, -2575, -4024, -5495, -6994?\nAnswer: -8527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4 - z + 5 + 6. Determine a(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/265, -0.2, 5, 21.4, -1 in descending order.\nAnswer: 21.4, 5, -2\/265, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/5 of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 86*h**2 - 83*h - 385. Calculate w(87).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 42*u**2 + 7*u + 129. Calculate b(-6).\nAnswer: 1599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d2 (base 15) to base 9.\nAnswer: -1168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -254*z**3 + 4*z**2 + 20*z + 24. What is the tens digit of w(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*r + 40 = 0, -8*y - 7 = -5*y - 5*r. Suppose -y*z + 100 = 4*z. Let 5*x**4 + x**4 + 3*x**4 - z*x**4 = 0. What is x?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 4*l**2 - 2*l + 2. Let a be s(-7). Suppose o - 3*q = 4*o - 114, 0 = 5*o - 4*q - a. Is 35 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-4\/7))**(16\/11))**(-2\/67))**(3\/19) assuming m is positive.\nAnswer: m**(384\/98021)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01079960219 rounded to 4 dps?\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 + 49*s**2 - 19*s + 9. What is w(6)?\nAnswer: 2091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86099\/(-4117) - 2\/23?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((9\/15)\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/11 + 13318*n\/11 - 13316\/11 = 0. Calculate n.\nAnswer: 1, 6658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*q + 10662 - 1899. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-26 - -8 - 12) + 3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 + 96*u - 717. Let h be p(20). Determine b, given that -45\/11*b**5 + 75\/11*b**h - 118\/11*b**4 + 76\/11*b**2 + 12\/11*b + 0 = 0.\nAnswer: -3, -2\/5, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -757*b + 2993 = 53712 for b.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-9)\/((-630)\/77). Let s = -1023 - -1023. What is the nearest to -0.1 in -29, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10 = 22. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (2 - 2) + 0. Let r = 3 + -1. Suppose -3*f - f = -5*k - 8, -r = k - f. Solve 3*x - o*x + 3 = k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176144 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p**2 - 1. Calculate the smallest common multiple of 1 and x(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tddc when four letters picked without replacement from dpcdcctct.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/7, -5, -9, -2\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (5 + -4 - 5). Let g be ((4 - 0\/(-2)) + -9)*q. Let d be (1\/((-20)\/6))\/3. Which is the third biggest value? (a) 0.1 (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 0 + 1\/72*v**4 + 14*v**2 + 1\/9*v**3 + 0*v - 1\/30*v**5. Factor f(r).\nAnswer: -(2*r + 1)*(3*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 688, 1583, 2838, 4453, 6428, 8763?\nAnswer: 11458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/(sqrt(21)\/sqrt(3)) + sqrt(384)\/sqrt(12))*1)**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.425 and 0.8.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -202*j**2 - 5982*j + 2333. What is y(-30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -52*m + 67*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 52 = 40 - 82, -3*j + 8*j = -2*p - j - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffbfffffffffffffff. Give prob of picking 2 f.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 11 - 4*a**2 - 42 + 7 + 10*a + 2*a**3 + 11 to the form l*a**3 + y + v*a**2 + x*a and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + sqrt(450) - sqrt(400)\/(5*sqrt(16)\/sqrt(2)))**2.\nAnswer: 56*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 231532.5 months in centuries?\nAnswer: 192.94375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o - 6 + 6)*(-1 + 0 + 2)*(2 + o - 2).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 840474948449.000006 - 840477588792. Let d = a - -2640338. Let p = d - -5. Round p to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from goywj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 83061 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.99 + 0.01. Let q = -0.3 + -0.2. Let k be ((-125)\/(-150))\/((-150)\/(-72)). Which is the third smallest value? (a) k (b) 22 (c) g (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 - -171. Suppose -z*g = -82*g - 720. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5416.8*4.\nAnswer: -21667.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27694707?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 7 - 5\/(10\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -2\/3, -2, -0.09, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141 - 258. Let u = -114 - z. Solve -22 = u*h - 34 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 != 2144\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + v = 6*l - 64937, 4*l - 4*v = 51940. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1757*p**2 + 7*p - 2. Let v(y) = 963*y. Determine v(h(m)).\nAnswer: -1691991*m**2 + 6741*m - 1926","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11.9 (b) 19646 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1665110?\nAnswer: 2, 5, 269, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.02975 and -0.1383.\nAnswer: -0.10855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 63529.182ns in hours?\nAnswer: 0.000000017646995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*s + 59108 + 1528787 = 26*s. Round s to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*n + 70, 4*n - 40 = -0*u - 2*u. Suppose 3*r = -u + 37. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 1:57 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1985 is divided by 659.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 468*r + 10503 + 22725 for r.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-7 + (3 - 5 - 3) + -29).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/9 - 684620*n\/9 = 0. Calculate n.\nAnswer: 0, 342310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 519045 + 519045.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 160\/(-448)*8\/(-5)*7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2172333 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.07 + 1.1. Let p = -0.07 - f. Which is the nearest to -1\/4? (a) -2\/7 (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -300.802033538 and -1.\nAnswer: -301.802033538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2\/17, -0.095 in descending order.\nAnswer: -0.095, -2\/17, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 642873401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 1. Let j be (1 - -25)\/2 + (2 - 0). Let d(n) = -j*n**2 - 2*n**3 + n**3 + 0*n**3 + 10 + 9*n**2. Determine d(t) + 6*g(t).\nAnswer: -t**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d. Let b be k(-1). Suppose l + 5*j = -b*l + 33, 5*l = -j + 15. Suppose -l*s - 113 = -531. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by -2410.\nAnswer: 11\/482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*c = 2, -18*f + 17*f - c + 13 = 0. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 21 - 2 = 5*t, 3*f = 4*t - 24. Suppose 8 = 2*n + 2*p, t*n - 20 = -0*p - p. Does 7 divide (-158)\/(-6) + n\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3\/8 (b) 0.069 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 15 = n + 3*q, 0 = 5*n - q - 5. Solve -3*z - 6 = 3*y - n*z, 5*y + 3*z + 6 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/12 and 95\/904.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*f - 85, 5*f = 3*f - 5*s + 43. Let o(i) = 28*i**2 + 22*i + 127. Is o(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 30, 68, 126, 210?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21980895?\nAnswer: 3, 5, 1465393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**3 + 27*q**2 + 129*q - 954. Give r(7).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + -2*3*sqrt(144) + -2*(sqrt(144)*3 - sqrt(144)))\/(sqrt(147)*-2*-2 - (sqrt(147) + 2*(sqrt(147) + sqrt(147) + sqrt(147)*-1))))**2.\nAnswer: 3888\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o. Let i(h) = 4*h. Suppose 0 = 5*v + 5 + 5, 3 = 3*n + 3*v. Let x(p) = n*f(p) + 2*i(p). Let z(l) = l + 12. Calculate x(z(j)).\nAnswer: -j - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/5 - (-6)\/(-130).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-6)*((-72)\/10)\/3. Let d = 11 + -8. Which is smaller: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4013457.\nAnswer: 3, 7, 383, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1064048 is divided by 188?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -4*r. Suppose k + 2*w - 3 = w, -r*w - 14 = -3*k. What is the lowest common multiple of k and 8 + (-11)\/2 + (-5)\/(40\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 84?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/2932 - 68537\/1466. Let o = -47 - z. Which is the closest to -1? (a) -3\/4 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -193 - -196. Suppose -21*p - 2586 = -26*p + 3*a, 2085 = 4*p + i*a. What is the remainder when p is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.049 - -5.951. Let n = 6.93 + 0.07. Let s = n - z. What is the third smallest value in 2, -4, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 12*q - 9*q - 8940 = 0, -5*a + 8930 = q. Suppose 3*g = -5*b + a + 454, -g + 3 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + (-2*(0 + sqrt(425)) - sqrt(425)))**2 - (sqrt(425)*-1 + 3)**2.\nAnswer: 30*sqrt(17) + 1266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j + 12 = -15*j. Solve -2 = -j*t - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -194.14707 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 540*y - 19. Let d(f) = 451*f - 18. Let l(s) = -5*c(s) + 6*d(s). Determine l(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 18 + 87. Suppose -2*s + 83*s = 9*s + 4536. Calculate the greatest common divisor of s and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -219*r + 2862. What is the hundreds digit of s(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/10 + 4*p**3\/5 - 3*p**2\/5 - 4*p - 5\/2.\nAnswer: -(p - 5)**2*(p + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-8884)\/8010)\/((-88)\/474) - 3) + 2. Let n = 410258188\/6853 - 419058\/7. Let k = z + n. Find the common denominator of -63\/50 and k.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -724*d - 3591. Let t be y(-5). Let k(u) be the third derivative of -t*u**2 + 0 + 0*u - 5*u**3 + 1\/4*u**5 + 35\/24*u**4. Factor k(l).\nAnswer: 5*(l + 3)*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84640*i**3 - 464*i**2 - 166304305 with respect to i.\nAnswer: 253920*i**2 - 928*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3056\/(-4))\/4 + -2 + 5. Let x be 1 + -4 + 0 + v\/(-60). Which is the third biggest value? (a) 22 (b) 1\/4 (c) x (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 603 + -594 - (5 - (2 + 0 + 1 + -58)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*u**2 + 5 - 26 - 2*u**4 - u + 7*u**3 - 6*u**4 + 20 - 3*u**3 to z*u**3 + r*u**2 + g*u**4 + j + v*u and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.226 - 0.176. Let z = s + 0.95. Let t = 0.4 + -2.4. What is the third smallest value in t, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (74 + 7\/((-7)\/(-2))). Are j and -74 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/18156 and -53\/1436840.\nAnswer: 383636280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3411341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**4*z*(z*z**(-2\/13))\/z*(z\/(z**(-1)*z*z))**28*((z**(2\/5)*z)\/z**(-7))**(-6\/13) assuming z is positive.\nAnswer: z**(63\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1172.147 and -0.0783.\nAnswer: 1172.0687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (1 - 0))*-10. Let r = -8 + b. Solve -2*x - 2 = r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3\/(-1)*(-9)\/(279\/62)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 37\/(-13) - 4\/26. Let r(l) = -l**2 - 7*l + 11. Let q be r(-9). Let y be 6\/9 + q\/a. Solve -3 = y*i + 3*v, -3*i + 4*i - 5*v = 17 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 26 + -10 + -12 + (12 - -2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210201320321 (base 4) to base 12.\nAnswer: 32597b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(108)*2)\/(-1*-2*sqrt(4)).\nAnswer: 2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 + 3\/((-9)\/(-93))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118451\/145 - 2439\/29. Let s be (20\/6)\/(1\/219). Let k = s - x. Calculate the common denominator of -17\/10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757 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: Factor -2*v**4 - 85*v**3 + 46*v**2 + 129*v.\nAnswer: -v*(v + 1)*(v + 43)*(2*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/6*22\/2. Suppose -2*p - i*p + 2184 = 0. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = 2*n - 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138*t**4 - 26*t**4 + 10*t**3 - 11*t**3 + (-4*t**2 + 2*t**2 + t**2)*(t**2 + t**2 + 0*t**2) to o*t**3 + y + w*t**4 + r*t + f*t**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -779, -5, -1531, 3, -1, -2 in ascending order.\nAnswer: -1531, -779, -5, -2, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20.68 - -0.224115\nAnswer: 20.904115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nok when three letters picked without replacement from okknynqkqqnqxqy.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11b03 (base 14) to base 7.\nAnswer: -240203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3571, 13537, 30155, 53431, 83371, 119981, 163267, 213235?\n\"Answer: m**3 + 3320*m**2 - m + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a + 2 + 75*a + 210*a.\nAnswer: 277*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118986 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-6) + -2)\/(-16 + 15). What is the nearest to -2 in -3, -24, -1\/2, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 171 + -363. Let c = -572 - j. Round c to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -530639 and 0.002?\nAnswer: -1061.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence raaa when four letters picked without replacement from {a: 10, r: 4}.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1266, 2527, 3786, 5043, 6298, 7551?\n\"Answer: -r**2 + 1264*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 1434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ea - 395?\nAnswer: -57f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5 - 55*z + 6*z - z**2 + 8*z + 30*z + 29. Calculate d(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(1\/4))**(-2\/7))**(-35) assuming b is positive.\nAnswer: b**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 6*i**2 - 2*i**2 + 5*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*j + 405 = 0, 5*j + 173 = 4*b - 134. Suppose -4*n - b + 275 = 0. What is the remainder when n is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -189*t + 2643. Determine q(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3109948 - -37384277\/12. Suppose -5*k - 16235 = 3*v, -3*v + 6*k = k + 16255. Let d = v + u. Calculate the common denominator of 127\/18 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/6)*y**(-5\/3))\/((y\/y**(-6\/5))\/(y*y*y**14)) assuming y is positive.\nAnswer: y**(359\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -20*f**3\/3 - 11*f**2\/2 + 20*f + 441. Let x(b) = 7*b**2 + 4*b - 7. Let l(h) = 5*h - 2. Let w be l(-3). Give w*x(v) - 6*g(v).\nAnswer: v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -130302\nAnswer: -3909.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r. Let v be l(1). Let m be (2\/4)\/((-1)\/v). Suppose 4 = -4*g + 5*g. Sort g, m, -5 in descending order.\nAnswer: g, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523 less than or equal to 1585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 770 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(300) - ((sqrt(300)*-1 - sqrt(300)) + sqrt(300) + -4) - (sqrt(300) + sqrt(300)*2*6)) + 2)*-6)**2.\nAnswer: -871200*sqrt(3) + 32687424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than 188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2486, 5023, 7520, 9959, 12322, 14591, 16748?\n\"Answer: -3*p**3 - 2*p**2 + 2564*p - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 33*l**2 - 3*l + 132. Give z(33).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 11 = -p, z + 5*p + 6 = 2*p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -70508*6\/(-8)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -401, -428, -503, -650, -893, -1256, -1763, -2438?\n\"Answer: -4*w**3 + w - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86450443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1568.676 - -1516.7. Let s = -0.196 - -52.196. Let x = s + u. Round x to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -225*r + 126. Let l(h) = -41*h + 23. Let d(x) = -5*j(x) + 27*l(x). Does 13 divide d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8*g - 8. Let h be r(-11). What is the greatest common divisor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i*l*y**3 + i*l*y - i*y**2 + 89*l**2*y**3 + 4*l**2*y**2 - 32*l**2*y - l*y**3 + 2 wrt y.\nAnswer: -6*i*l + 534*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -260, -326, -414, -518, -632, -750?\n\"Answer: b**3 - 17*b**2 - 22*b - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3 + 0*z + z + 107*z**2 - 110*z**2 + z**3. Let y be s(3). Suppose -v - 2*o + y*o = -126, -2*v = -5*o - 255. Is v a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/560 and (54\/(-560))\/((1750\/147)\/(-25)).\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -67. Suppose 3*d + 2*g = -0*d + b, 0 = 4*g - 20. What is the second derivative of 90*a**d - 3*a + 6*a**5 - 90*a**3 wrt a?\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 12*g**3 + 34*g**2 + 17*g + 10. Let q(l) = 6*l**3 + 17*l**2 + 7*l + 4. Calculate 3*b(n) - 7*q(n).\nAnswer: -6*n**3 - 17*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77*2\/20*29*(-325)\/26390.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43295 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 24064427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 51 = -3*p, 3*b + 5*p + 5540 = 5443 for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -132353 times -0.09\nAnswer: 11911.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, x: 3, p: 5}. What is prob of sequence ddp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**3\/6 + 4*r**2 + 2*r. Let x be j(0). Let f = -6 + x. Solve -d + 8 = -2*d + f*a, 2*d + a = 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6\/5 + -1 + 5038\/110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2083 divided by 258?\nAnswer: -2083\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**7\/42 + a**6\/10 - a**5\/10 - a**4\/6 + a**3\/2 - a**2\/2 + 3*a - 128. Factor r(k).\nAnswer: -(k - 1)**4*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3\/5))\/(v**(1\/3)\/v*v))**(-7\/6)\/(((v\/v**(1\/5)*v)\/(v*v**(7\/3)))\/((v**(3\/2)\/v)\/(v*v**(-2)\/v))) assuming v is positive.\nAnswer: v**(178\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1270 + 2514. Does 21 divide 5\/(50\/m) - 18\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/29, -0.26, -5\/3, 5 in decreasing order.\nAnswer: 5, -2\/29, -0.26, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -29 (b) 24.89 (c) 186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 + -60. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 + 2\/(-6). Let h be (-5606)\/(-17)*2\/(-4). Let s = 165 + h. Which is bigger: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/53)*u*u\/((u*u**(-9))\/u))\/((u**(5\/4)*u)\/u**(-5\/3)) assuming u is positive.\nAnswer: u**(4529\/636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1373 - -1400. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4193812624?\nAnswer: 2, 73, 3590593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3937.2 + -3937. Which is the second smallest value? (a) l (b) -521 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k**2 + 14*k - 13. Is 33 a factor of i(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, 58, 97, 136, 175, 214?\n\"Answer: 39*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332125784.\nAnswer: 2, 41515723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002142148 rounded to 7 decimal places?\nAnswer: 0.0000214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*j**2 + 461*j**3 - 227*j**3 - 236*j**3.\nAnswer: -2*j**3 - 49*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1914 and 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71876598 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/9 (b) -3\/2 (c) 2 (d) -0.5 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 0.5, 0.1 in descending order.\nAnswer: 0.5, 0.1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001000 - -2?\nAnswer: -1000221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1543+827337\nAnswer: 828880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 47. Suppose -2*a + u = -j*a + 171, -2*a + 4*u = -114. What is the remainder when 170 is divided by a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -679 - -378. Let f = o + 303. Sort 10, f, -1 in ascending order.\nAnswer: -1, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -51*o**3 + o**2 + 3*o + 2. Let u be p(-1). List the prime factors of ((-34)\/u)\/(3 - 8048\/2682).\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-6)\/(-2))\/(-1))\/1. Let v be (-2)\/(-6) - 1\/c. Solve v*x**2 + 0 + 0*x + x**3 = 0 for x.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.32 and -28.549211?\nAnswer: 28.869211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 539 and 745535?\nAnswer: 8200885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40529, -80677, -120851, -161063, -201325, -241649, -282047, -322531?\nAnswer: -363113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/((-110)\/(-88)). Let j be (-72)\/(-27)*(-6)\/4. Let n be 4\/(-21)*2\/j. Which is the closest to 2\/3? (a) d (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4 - 261*z**3 + 3999*z**2 + 9765*z - 13500 = 0 for z.\nAnswer: -100, -3, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*f*h - 7836*c**2*h**2 - 65*c**2*h - 2*c*f*h + 91*c*h**2 + 90*c*h + f*h wrt c?\nAnswer: 2*f*h - 15672*h**2 - 130*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2557 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x + 644 = -364. Is x smaller than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/15358 and 39\/686.\nAnswer: 752542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 255, 280, 293, 288, 259?\n\"Answer: -i**3 + 32*i + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*s + 24*s - 30*s - 924 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - i = 3, 0 = -22*i + 23*i - 2 + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22176\/(-792) - 7*-3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218002 divided by -550.\nAnswer: -109001\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1158 is divided by 235.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -384.8 (b) 5\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppppppeeeppppe. What is prob of picking 2 p and 2 e?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54*p*v**2*x - 2*p*v**2 - 2*p*x - 4*p + v*x - 3*v + 9519*x wrt v.\nAnswer: 108*p*v*x - 4*p*v + x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2) - 11\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2, 5*t - 13 = -h + t. Let n(g) = 2*g**2. Let v be n(1). What is the second derivative of -3*p - v*p**4 - p**4 + h*p**4 wrt p?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(2) - sqrt(6)\/(-2*sqrt(3))))\/((sqrt(60)\/sqrt(5))\/sqrt(4)*-2)*5.\nAnswer: -5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 395839\/(-52) + 12\/(-8). Let r = a - -7613. Find the common denominator of 2\/(-2) + 95*4\/80 and r.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127426.9374 seconds in weeks?\nAnswer: 0.2106926875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*i + 115. Let b = i + -46. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.5 (c) -109\/5 (d) 29.4 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*f = 2*f + 856, -5*t + 5*f = -2170. Let q = t - 287. What are the prime factors of q?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -20. What is the biggest value in 1\/6, a, 2\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-3 - -2) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - h = 0, 0 = -2*y - h + 14 - 6. Suppose y*p - 12 = 6. Solve -u = -4*i + p, -1 = -i + 2*u + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -766*o - 93. What is the hundreds digit of n(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 5:51 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155 and 537106?\nAnswer: 2685530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22966, -22967, -22968?\nAnswer: -22969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121 + 1341 + 261)*(-2*h + 2*h + h)*(-h**4 + h**4 - h**4).\nAnswer: -1723*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**3*j - 23*g**3 - 200*g**2*j wrt g?\nAnswer: -24*j - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 17 = -s + 2, -3*v = -2*s + 25. Suppose 4*p - 6 = j, 1 = -2*p + 5*j - s. Solve -4*b + 6 = -5*c, 0 = -0*c + 4*c + p*b + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-1 - l**2 + 1 + (4*l**2 - 3*l**2 + l**2)*(3 + 2 - 3) - 5*l**2 - 26*l + 26*l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 369 and 36.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280130 is divided by 185?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2. Let l(b) = -7502*b - 3. Determine u(l(k)).\nAnswer: -112560008*k**2 - 90024*k - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)*1 - (sqrt(7) - (-1 + sqrt(112))) - ((sqrt(343) + 4 + sqrt(343))**2 + sqrt(7) + -2 + sqrt(7) + sqrt(7) + -4).\nAnswer: -1383 - 100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 524272 to the nearest one thousand.\nAnswer: 524000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(567) - (0 + sqrt(567))) + -4*sqrt(567)*1 - (sqrt(7) + 6*(sqrt(7) - (-2 + sqrt(7))) + sqrt(70)\/(sqrt(10) + 3*sqrt(10))))**2.\nAnswer: 1639*sqrt(7)\/2 + 157343\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 173 + -44. Suppose 5*x - 139 = -j. Suppose -8 + 5 = -a. Solve n = -x*z + 2, -2*n - a*z = -2 + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = x + 3*h + 7, -5*h = x + 8. Let q = -37\/3 - x. What is the second biggest value in 0.2, q, -0.07?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5)*s**(-3\/4))\/(s**0*s)**(3\/10))**(5\/11) assuming s is positive.\nAnswer: s**(-13\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from {m: 1, a: 4, y: 2, f: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1303, 2639, 3975, 5311, 6647?\nAnswer: 7983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.77 + 17.57. Let v = -115 - -61. Sort v, -2, h in ascending order.\nAnswer: v, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102 or -923\/9?\nAnswer: -923\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 211210 - 22000?\nAnswer: 134210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.15, -1, 288, -4, 0?\nAnswer: 288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -67868a (base 13) in base 2?\nAnswer: -1001010101010000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**6\/240 + 3*t**5\/40 + 31*t**4\/6 - 4*t + 5. Let a(g) be the third derivative of z(g). What is a(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10 - -2) + (-23)\/(33672\/(-11585)) and -5\/549.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30518141.\nAnswer: 1499, 20359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 260374.8 weeks in seconds?\nAnswer: 157474679040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (662\/(-20) + (-90)\/225)\/5 and -26\/23377.\nAnswer: 233770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**5\/19 - 8*g**4\/19 + 6*g**3\/19 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 - -2) - (-32 - -29)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2*120\/(-25) - 21\/(-35)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3765 (b) 631 (c) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-49 - -1)\/(-7 - -5) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206224722 divided by -116314?\nAnswer: -1773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/6 (b) -4 (c) -15 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130764 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 108618312 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.9794 and 254.\nAnswer: 255.9794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -2. Suppose r = -h*x + 5, 2*r + 20 = 6*r. Let d = 9.18 + -8.88. What is the nearest to d in 1\/3, x, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26887 divided by 3841.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w - 9. Suppose -h - w - 3 = 0. Let n be (3\/h)\/(2\/4). Which is bigger: 2\/29 or n?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9090\/(-606)*1\/(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 13 - 4 = 3*p, 4*p + 4*w - 28 = 0. Suppose -3*m = -a - 8, 0*a + 36 = p*m + 4*a. Suppose 2*z + m*f = -3*z + 195, 2*z = -f + 75. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 8*j - 4. Does 4 divide i(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = a - 103, -3*w + 4*a = -0*w - 48. What is the smallest common multiple of w and 6 - ((-10)\/(-5))\/(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s + 30. Let n be a(-24). Let u = -1 - -4. Suppose 31 = 4*c + t - 39, n = 4*c - u*t. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 10*v + 19. Let x be p(-9). Let n be ((-4)\/(-5))\/(4\/x). Solve 4*r = 5*y + 26, -y - n*r = -6 - 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2042788527.\nAnswer: 3, 13, 17, 67, 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 6*t + 9*t)*(1 + 0 + 2).\nAnswer: 9*t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/(-63) - (-461969)\/(-140). Let m = z - -3300. Find the common denominator of 79\/70 and m.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*b + 180, -3*b = -v + 120 + 54. Suppose -46*p = 9*p + v. Let j be (0 - -1)*1 + 1. What is the biggest value in j, -5, -0.3, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*i**4 - 5*i**2 - 27 wrt i?\nAnswer: 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express h**4 - 4*h**3 - 15*h + 10 + 0*h**3 + 2*h**2 - 3*h**3 + 4*h**3 + 2*h**3 as m + t*h**4 + j*h**3 + d*h**2 + x*h and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 50.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -29. Suppose p + 0*p = 2*w + 46, 0 = -t*p + 5*w + 190. Does 25 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 22*l**2 + 52*l.\nAnswer: -2*l*(l - 13)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231114 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2335253 (base 8) in base 14?\nAnswer: -128519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7280 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from {p: 3, h: 1, a: 1, m: 9}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010100010001011 - 0?\nAnswer: 110010100010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 - -1. Let q = -146.1 + 146. Which is the nearest to q? (a) 1\/2 (b) p (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*o + 18. What is the units digit of (3 + (-62)\/(-4) + o)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 428930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-99)\/(-55))\/((-6)\/(-20)). Let q(b) = -3*b + 19. Let o(y) = -5*y - 4. Calculate the smallest common multiple of q(g) and o(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllljljlvaljvjlja. What is prob of picking 1 j and 1 v?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 61 = -5*j. Solve -15 = -4*d - j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 156.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 11*z**2 + 9*z - 7. Let j be u(-10). Let k be (-1 - -4)*2\/(-3). Let n(q) = 5*q**2 + q. Let c be n(-1). Put k, c, j in descending order.\nAnswer: c, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.688 + 0.188. What is the fourth smallest value in 3, 6, 1, w?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27\/13 (b) 1.7374 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x. Let z be 0\/(0 + -8 + 1 - (106 - 111)). Let d(m) be the second derivative of 0*m**2 + 8*m - 1\/6*m**3 + z. Calculate j(d(r)).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w = -44*w + 58080. Suppose 36*u = 1808 + w. What is the greatest common divisor of 84 and u?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233514*b**2 - 13*b**3 + 519*b**3 - 233514*b**2 + 697*b**3 - 258*b**3.\nAnswer: 945*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 24 - 21 - 23*i.\nAnswer: -23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2. Let w(q) = -4*q - 3. Let s(r) = -2*c(r) - w(r). Let v(i) = -17*i + 13. Let k(j) = -4*s(j) - v(j). Calculate k(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1242 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11960\/(-3588)*3\/4\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + 123?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7131*b*w*z**3 + 12*b*w*z**2 + 1064*b*w - b*z**2 - 3282*w*z**3 - z**5 - 346*z**2 wrt z.\nAnswer: -42786*b*w - 19692*w - 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpq when three letters picked without replacement from {q: 2, p: 2, v: 1, x: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*b**2 - 1004 + 105*b**2 + 1008 to the form o*b + p*b**2 + m and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w + 17. Let b be z(-3). Let c(j) = -4*j**3 + 2*j**2 + 2*j + 1. Let o be c(b). Find the second derivative of -i - 21*i**o + 16*i**5 - 21*i wrt i.\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 1 - (-19 + 4 - -6 - 7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2\/2 + 463*b\/2 + 25470 = 0?\nAnswer: -283, -180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -9*d**2 + 7*d + 157. Let f(a) be the first derivative of a**3\/3 - a**2\/2 - 101. Let v(c) = 3*f(c) + o(c). What is the derivative of v(n) wrt n?\nAnswer: -12*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 - 182 - 167 - 2*x**3 + 351 + 35*x**2 - 2*x + 3*x as f + g*x + z*x**3 + p*x**2 + r*x**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 530697956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 98 = 6*d. Let s(z) be the first derivative of -5*z**2 - 33*z - 1. Is s(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 56*u**2 - 1. Let l(d) = -8385*d. Give t(l(c)).\nAnswer: 3937260600*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -41*w**3\/6 - 23*w**2\/2 + 200*w + 26. Let x(d) be the first derivative of m(d). Find the first derivative of x(b) wrt b.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 10:59 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (0 + (-2 - 2)) - 0) + -17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -134501 divided by 35?\nAnswer: -134501\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -209, -332, -543, -842, -1229?\n\"Answer: -44*h**2 + 9*h - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpoo when four letters picked without replacement from {t: 1, o: 7, m: 4, v: 1, p: 3, d: 4}?\nAnswer: 7\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -183, -179, -173, -165?\n\"Answer: c**2 + c - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 360\/25 + (-88)\/11 + -4. Factor 0 - l*u**2 + 0*u**3 + 9\/5*u**4 + 3\/5*u**5 + 0*u.\nAnswer: 3*u**2*(u - 1)*(u + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003353877 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**4 - 7*u**4 - u**4)*(3 - 1 - 1)*(-4*u + 4*u + u).\nAnswer: -4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 1)*(-3*v + 3*v - 2*v) + v + 5*v - 4*v)*(v**2 - v**2 + 2*v**2).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18840344.\nAnswer: 2, 2355043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 233100455 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 5:48 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*8\/462 + 14\/(-49).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m\/(m\/(m**(1\/3)\/m))*m)\/m)**(-1)*(m**4*m)\/(m*m**3))**(-31) assuming m is positive.\nAnswer: m**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -392, -23, 374, 799, 1252, 1733?\nAnswer: 2242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60348670*j - 30174342*j - 30174321*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -461*(-4)\/(-2 + 10). Let i = -231 + f. Which is bigger: -8\/45 or i?\nAnswer: -8\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -9*t + 19. Let l(g) = 4*g - 9. Let b(d) = 13*l(d) + 6*w(d). Determine b(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1291066ml to litres.\nAnswer: 0.0001291066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9637, -38256, -85861, -152446, -238005?\nAnswer: -342532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33010984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15227.\nAnswer: 15227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**3\/3 - 3*y**2 - 4*y + 4. What is n(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by 3?\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.511327um to kilometers.\nAnswer: 0.000000003511327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 4*s**2 - 4*s**2.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 7. Suppose 5*s = -6*i + i + 10, -q = -2*i + s. Suppose -v = -5*g + 9, -4*g = 2*v + g - 27. Solve -h + i*h = -v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 122*i - 119*i - 4*i**2.\nAnswer: -6*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 0*d + 0 - 3*d**2 - 5\/8*d**4 - 1\/12*d**5 + 0*d**3. Factor h(k).\nAnswer: -5*k*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*g + 65*g - 56*g**2 + 3 + 19*g**3 + 59*g**3 + 58*g**2 as l + n*g + z*g**2 + j*g**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11901.\nAnswer: 3, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 1, a: 12, x: 1}. What is prob of picking 1 a and 1 m?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Let j(a) = -6*a**2 - 315*a - 15. Let q be j(-10). Suppose h*l + 2*d = 3426, -3*d - q = -l - 830. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*l + 2*s - 134, 0 = -2*l - 4*s - 158. Let m = l + 74. Let n be m - ((-3)\/12*0)\/1. Which is the second smallest value? (a) 0.2 (b) 0.08 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22508 = -2592*m + 82124 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 5. Let x be s(0). Suppose 0 = -x*w + 3 + 7. What is the first derivative of 3 + 3*y**w - 7*y**2 + 3*y**2 wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -6 in descending order.\nAnswer: 5, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/15 - 3\/(-5). What is the tens digit of 15 - h - 4\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * 0.1\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60\/97 - 10795\/582. Calculate the common denominator of -93\/532 and l.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3798 and 1191?\nAnswer: 1507806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 144*b + 149*b + 6, -977 = -29*h - b - 73 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/469011 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 10) to base 3.\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3 + 7 = 0. Suppose 2*z = u + p*u + 32, 0 = 4*z + 4*u - 104. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**3 - 3*r**2 + r - 3. Let k be v(-3). Suppose 4*a + k = n + 5*a, 2*a + 2 = 0. Suppose 5*b = 79 + n. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87489391?\nAnswer: 11, 43, 184967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 1\/96, -6, -1\/4, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.8808 and -742450.\nAnswer: -742449.1192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6403 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3527738 is divided by 176.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22820 - -40157. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46944312.\nAnswer: 2, 3, 197, 9929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 + 497 = 5*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -193.5 + 193.9. Let s = 15 - 10. What is the smallest value in k, s, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230536*h = -j + 230540*h + 40, -5*h - 50 = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*q = 4, -8 + 14 = -3*g - 5*q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 2*j**3 - 10*j - 7 + 10*j. Let n(x) = x**3 + 3. Let v(r) = r**3 + 7*r**2 + r + 2. Let z be v(-7). What is z*n(a) - 2*s(a)?\nAnswer: -a**3 - 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2840)\/568)\/((45\/(-56))\/9)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d**2 - 8*d. Let t(y) = 6*y**2 + 7*y. Suppose 0 = 75*r - 131*r + 224. Let u(q) = q**2 + 6*q - 2. Let m be u(-7). Determine m*t(v) + r*i(v).\nAnswer: 2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w + 11. Let g be b(2). Let f be (0 - 3)*3\/(-3). Suppose f*z + t - 8 = 0, -2 = -4*z + g*t - 4. Solve -2*u = z*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-3))\/((-2)\/6). Let m = 264 - 258. Let r be 0*(-3 + m)\/z. Put 4, r, -2 in ascending order.\nAnswer: -2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10543 (base 8) to base 4\nAnswer: 1011203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or 90921140?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -o + 26. Let q(w) = 3*w**3 - 8*w**2 + 4*w + 22. Calculate the remainder when o is divided by q(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4 - 5*x**2 + 10*x**3 + 37*x**3 - 2*x - 46*x**3. What is k(4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2288 is divided by 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2681 = -464*k - 16822 - 3233 for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 103174871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0408 + 1.912?\nAnswer: 1.9528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1264 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000747928 to 6 dps.\nAnswer: 0.000748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**4\/24 + a**3 - 6*a**2. Let s be (0 + 1)\/(1\/(-6)). Determine g(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**3 + 9*h + 2. Let g(y) = -11*y**3 - 18*y - 5. Determine 2*g(w) + 5*k(w).\nAnswer: 3*w**3 + 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -38. Let k = -18 - w. Let n be 6\/(-2)*(-2)\/(-3). Which is the second smallest value? (a) k (b) 5\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (-2656040)\/(-184) + (-2)\/9*-3*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from kll?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 1. Let m(o) = -9 + 3 + 6*o + 0*o. Let p(n) = -18*h(n) + 2*m(n). Let r(u) = 4*u - 4. What is -5*p(f) - 7*r(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32221111001 (base 4) to base 9.\nAnswer: -7201465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -379+-0.93\nAnswer: -379.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.012 - -0.012. Sort d, 5, 1\/2, -1\/13.\nAnswer: d, -1\/13, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 688287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*f - 12. Let s be f\/(-4)*6\/(-3). Factor -2*y - 2*y**2 - 3*y**4 + 2*y**s + 5*y**4 + 0*y**4.\nAnswer: 2*y*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 9846 = 4*w, -89*k = -2*w - 92*k + 4934. Does 88 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4058416911 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 108 + 20 = 8*v, 3*v - 3*s - 48 = 0 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 0.178.\nAnswer: 0.00178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/8*s**4 + 0 + 0*s - 1\/8*s**5 - 9\/8*s**2 - 3\/8*s**3 = 0. What is s?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 10*z - 383714. Let k = z + -118143. Round k to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*((-2 + sqrt(972) + (sqrt(972)*1 + sqrt(972) - sqrt(972)) + -4)**2 + 2) + -4).\nAnswer: -4320*sqrt(3) + 39240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1701 + -1680. Calculate the lowest common multiple of 282 and u.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, t: 8, d: 1, m: 1, r: 5, q: 2}. What is prob of picking 1 q and 1 r?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*h + 228 = -55*h. Solve -m - 1 = 0, h*m - 7 = -5*v + 8*m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/7)\/(s\/(s\/(s**3*s))))\/(s**5*s**2) assuming s is positive.\nAnswer: s**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -7*m + 15. Suppose 3*f + m*w = w + 53, 2*f - 50 = -5*w. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3960\/7 + 566. Which is smaller: h or 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 77930 to the nearest one thousand.\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 < -139474\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 315, 461, 627, 819, 1043?\n\"Answer: z**3 + 4*z**2 + 127*z + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1179744, 2359640, 3539536, 4719432, 5899328, 7079224?\nAnswer: 8259120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 11:14 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 l when four letters picked without replacement from zzzzvzzzzzzzzlz.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(209) + -1*sqrt(209) + sqrt(209))*3)\/((sqrt(11) - (sqrt(11)*2 - sqrt(11)))*-3 + 2*sqrt(539)))**2.\nAnswer: 1539\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 73*b**2 - 225*b - 209. Determine d(76).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8317 * 49.\nAnswer: -407533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c - 176*c - 91*c - 35*c + 22 + 27*c with respect to c.\nAnswer: -277","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 - 5295 = 74*t for t.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -5\/4 (b) -0.2 (c) -5 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 745*y = 734*y + 1474. Let l = y + -129. Solve 3*v = 4*m + 4*v - 19, l*m = 3*v + 28 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 10752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -14, 4, -5, -19, -74 in decreasing order.\nAnswer: 6, 4, -5, -14, -19, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42061*d - 168277*d + 42063*d + 42083*d + 42066*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6}. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.48 * 214\nAnswer: 102.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 divided by -4?\nAnswer: -77\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2866619?\nAnswer: 7, 409517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5689?\nAnswer: 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 537 - 450.3. Let v = 82.7 - h. Which is the third smallest value? (a) 4 (b) -1 (c) v (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 108477, 108510, 108601, 108780, 109077, 109522, 110145?\n\"Answer: 5*d**3 - d**2 + d + 108472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in -4, -1, -0.0494?\nAnswer: -0.0494","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (310\/15)\/((-4)\/(-6)). Let u = -27 + o. Suppose -c - 2*j = 3*c - 62, 0 = 5*c + u*j - 76. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36912 + -24396. What are the prime factors of o?\nAnswer: 2, 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26719879, 26719888, 26719897, 26719906?\n\"Answer: 9*d + 26719870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6623.3314 days?\nAnswer: 946.1902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17 times 98.3\nAnswer: 1671.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -229, -1949, 79.\nAnswer: -1949, -229, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + f = 4*r - 4, -3*r + 5*f = -20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.41538 millilitres?\nAnswer: 0.00641538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1590\/225)\/(-53)*1\/(-3)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - -24 - (4 - 16)) + -14 + 58\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/12*3 - -3. Let f be ((-7)\/(-14))\/(1\/y). Suppose -2*s + 1 + 5 = 0, 4*s - 82 = -f*q. What is the remainder when 40 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 499930 and 120.\nAnswer: 5999160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 + 57. Let s = z - -4. Let p = -32 - s. Which is the closest to p? (a) -2 (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 813889943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from fbeebx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**6\/40 - k**5\/60 + k**4\/12 + k**3\/2 - 2*k**2 + 72. Give s(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82\/3 at most as big as -1.66609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-40)\/12 + (-1310)\/(-6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5427\/108*(-8)\/(-91). Let l = w - 32\/7. Put l, 1\/6, 6 in descending order.\nAnswer: 6, 1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + 3*j - 3*j + (-3*j + 5*j - j)*(2 - j**3 - 2) + 3*j - 3*j**4 - 3*j + 0*j**4 + 2*j**4 - 3*j**4 + 3*j**2 + 2*j**2 - 12*j**4 - 4*j**2.\nAnswer: -19*j**4 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -75 + -7?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 0*v**2 - 2\/21*v**3 + 0*v - 1 - 1\/14*v**4. Factor r(p).\nAnswer: -2*p**2*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 316*d. Let r(l) = -2*l**2 + l + 1. Let y(j) = -7*j**2 + 3*j + 3. Let s(x) = -3*r(x) + y(x). Determine u(s(h)).\nAnswer: -316*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -395\/29 or -13?\nAnswer: -395\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26986 - -53316. Round i to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlcdelellecuaeldaced. What is prob of sequence cael?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 2, m: 1, y: 3, g: 3}. Give prob of sequence ss.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4080 = 9*p - 7350. Let j = p + -256. Is 93 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -5, 0.03, -5.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvzzpvzxzvxz. What is prob of picking 2 z?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 6*b**2 - 13*b + 26. Let v be y(10). What is the highest common divisor of 37 and v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 4*t + 5. Let b be q(4). Suppose 2*u + b*x = -u + 6, -x = -3*u + 24. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8135 bigger than 24407\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - 2*p**2 + 0*p**2 + (-2*p - 3 + 3)*(-4*p - p + 3*p) - 3*p + 3*p - 2*p**2 - p - 2*p**2 + 5*p**2 - 4 + 3)*(2*p**3 + 16*p**3 + 48*p**3).\nAnswer: 528*p**5 - 66*p**4 - 66*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2965\/161 + 187\/23. Let i = k - -10. What is the closest to -0.1 in -0.1, i, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1352\/(-12))\/((-10)\/15). What is the highest common divisor of 26 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2\/41 (b) -3 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**3 + t**2\/2 + 4*t - 14. Let s(r) = -6*r**2 - 3*r - 8. What is -5*d(x) - 2*s(x)?\nAnswer: -3*x**2 + x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-22))**(-5\/2))**37 assuming a is positive.\nAnswer: a**2035","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 4*d**2 - 8*d + 1. Let q be f(1). Let b(o) be the second derivative of -o**3 - o. Let h(p) = 1 + p - 1. Determine q*b(a) - 5*h(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1078*u + 1657 = -883*u + 1573*u - 51111 for u.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 115 + 75 = 0. Is 24 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 7:24 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*k - 24. Suppose 11 = -0*z + 3*z - n, -3*z - k*n + 16 = 0. Suppose 1 = y, 2*y - z*y = -4*r + 1266. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1084857933 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 0 = -4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139 and 758?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, b: 1, j: 2, h: 5}. Give prob of picking 1 h, 1 x, and 1 b.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5010*a**4*j**2 + 7*a**4 - 10*a**2*j**2 + 2*a**2 - 63*j**2 + 7 wrt a?\nAnswer: 120240*a*j**2 + 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(45) + 1).\nAnswer: -3*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u - 2*u + 2*u)*(-2*u**4 - 4*u + 4*u) + (1 - 1 - 2*u**2)*(u**3 - 3*u**3 - u**3).\nAnswer: -12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (1 + 122\/1*-1). Let u = -147 + a. Which is greater: -0.1 or u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:44 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 4:30 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-2 - -4) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 40*y + 378 = -194 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:40 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 2*x + 4*x)*(-84*x - 131*x + 219*x + 1406).\nAnswer: 8*x**2 + 2812*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/43, 1, -3\/7 in ascending order.\nAnswer: -3\/7, -2\/43, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + w**2 + 3. Let p be v(0). Suppose b - p = -5. What is the lowest common multiple of 8 and b - (-1 - (2 + 21))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708 + 572 = 160*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05523667 rounded to three dps?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 430990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187234918?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-105))\/((-3)\/(-135))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29359700 and 62090.\nAnswer: 205517900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2568 divided by -321?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 126732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -47*a - 51. Let m(g) be the second derivative of 4*g**3 + 13*g**2 - 28*g. Let v(u) = 3*c(u) + 5*m(u). What is the derivative of v(q) wrt q?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - n)*(1 - 1 + 3) + 9*n - 18 + 18)*(1 - 3 + 1)*(-4 + 4 - 4).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -241 (base 5) to base 14\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/5531 or 40?\nAnswer: -8\/5531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 20 = -11*i. Suppose 31 = i*w - 21. Let g = 29 - w. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 582 and 27?\nAnswer: 5238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.824602 less than 0.9123025?\nAnswer: -2.9122995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 - 186*w**2 + 2222*w - 642. What is j(46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 39\/1495538?\nAnswer: 39\/1495538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4844 + 4968 + (-148 - -2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -24417*y + 24413*y + 5*p, 7 = 4*y + p - 2 + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560323827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n + 2. Let b(y) = 2*y + 1. What is -b(m) + p(m)?\nAnswer: -6*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-13) + 564\/52. Suppose -g + 1 = -t. What is the remainder when 47 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44331397?\nAnswer: 11, 4030127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16857 - 17648 - 25405 = 3524*x - 3526 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*f**5 - 18*f**3 - 3805*f?\nAnswer: 160*f**3 - 108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dodvknkvdgk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 6, 339, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/4 + 5*a**3 - 37*a**2\/2 - 77*a + 363\/4.\nAnswer: -(a - 11)**2*(a - 1)*(a + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0195777 and 3.8?\nAnswer: -0.07439526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/12 of a week?\nAnswer: 10920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 67 - -728.8\nAnswer: 795.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 504610 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -2\/5, -1\/38?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*o + 3452 - 5610 = 0 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 9 = -4*y, g = -12*y + 13*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 3*(sqrt(162) + (2 + sqrt(162) + -1 - sqrt(162)) - (sqrt(162) - 1*sqrt(162))*-4))*-2*-4)**2.\nAnswer: 10368*sqrt(2) + 93888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 29, -4, -5.\nAnswer: -5, -4, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.025 rounded to 2 decimal places?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 - 18. Let u = v - 40.951. Let p = 0.051 + u. Which is the closest to p? (a) 6 (b) 5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -4, 152, 1, -5 in descending order.\nAnswer: 152, 5, 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -63*n**5\/2 + 101*n**4\/2 + 111*n**3\/2 - 97*n**2\/2 - 24*n - 2 = 0?\nAnswer: -1, -2\/7, -1\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.401 - 102.599. Let o = -2008 + 2109.56. Let b = n + o. What is b rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 924 (base 12) to base 16\nAnswer: 52c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*c = -319 + 5621 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/552 and -101\/322?\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(77) + (2*sqrt(77) - sqrt(77))*-2)*-1*-2)\/((sqrt(280)\/(sqrt(5) + -3*sqrt(5) + sqrt(5)))\/(sqrt(800)*2 + sqrt(800) - sqrt(800))).\nAnswer: 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -236.\nAnswer: -18.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13631 = 13364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -4896 and -4897 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + 3 + 1 + sqrt(75) + sqrt(75) + sqrt(75) + -3)**2.\nAnswer: 150*sqrt(3) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 + 98716*q**2 + 592404*q + 888660.\nAnswer: -4*(q - 24685)*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*d + 7. Suppose -d*z - 668 = -6*z. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 5, -2\/18095, 36\/5, 18?\nAnswer: -2\/18095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 13*g**2 + 10*g + 4. What are the prime factors of r(13)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-5))\/((-14)\/70). Let u be (27\/(-6))\/(t\/(-84)). Suppose -4*h + u = -22. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/315*(-8253)\/(-131).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-10)*260\/39. List the prime factors of (33 - -1)*-292*2\/y.\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -585 - 61. Let g = u - -12265\/19. Is 0 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 - 30*a**3 + 40*a**2 + 30*a - 35.\nAnswer: -5*(a - 1)**2*(a + 1)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3359, -13845, -31313, -55757, -87171?\n\"Answer: c**3 - 3497*c**2 - 2*c + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 648*y + 7127. Let d be c(-11). Put -4, d, -27, -49 in descending order.\nAnswer: d, -4, -27, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5020294*s**3 + 215985*s**2 - 9*s - 2.\nAnswer: 30121764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 33. Let f(t) = 5*t + 24. Let i be f(n). Let q = i - -64. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397931897.\nAnswer: 3, 19, 197, 124493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.007, -0.1, -2 in increasing order.\nAnswer: -2, -0.1, -0.007, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/5 + (-8)\/(-4))*2. Suppose -u - t + 10 = 0, -24 + 2 = -5*u + g*t. What is the second smallest value in u, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 6*w - 18 = 0. Let h(r) = 5*r**3 + r**2 - 2. Let i be h(w). Let n = i + 306. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*g - 16*g - 159728. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-7))\/(-2)*8\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from cyyqcyyqccy?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 40*w**2 + 29*w + 91. Let d be j(-3). Suppose -344 = 4*i - d. Solve 4*b + 18 = i*c - 11, 2*b + 7 = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - v**3)*(-2*v - 1 + 1) + 2*v**4 - v**4 + v**4)*(4 - 4 - 7*v).\nAnswer: -28*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1180672, -2361420, -3542170, -4722922, -5903676, -7084432?\nAnswer: -8265190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435*v - v**2 + 104*v**2 + 7*v**2 - 112*v**2.\nAnswer: -2*v**2 - 435*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211487 divided by 4.\nAnswer: 211487\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 less than -1396?\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67.69 - -68. Let t = z + 2.69. What is the closest to 0.1 in -1\/6, t, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23824 divided by -11912?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxhkcjii. What is prob of sequence xck?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2022110 + -3200100?\nAnswer: -1111330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*j - 144*j - 3 - 3 = -6*y, 2*j - 20 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**9\/72576 + v**8\/24192 + 2*v**5\/15 + v**3\/6 - 5*v**2. Let f(m) be the third derivative of n(m). Let f(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 44*k = -43*k + 54, -5*k - 40 = 2*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196 and 113974?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -9528*r - 48. Let j be z(9). What is j rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/15))**(-4\/15))**31 assuming g is positive.\nAnswer: g**(-248\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 5a4?\nAnswer: -5a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = z + z, -4*k + 28 = -2*z. Let t be (8\/(-5008))\/(2\/k). Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1763? (a) -5 (b) -0.06 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2203944 is divided by 848?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2624.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*l**4 - 8*l**4 - 6*l**4 + (0*l**3 - 3*l**3 + 4*l**3)*(3 - 3 + 2*l) - 7*l**4 + l**4 + 2*l**4 as b + y*l**3 + z*l**2 + c*l + o*l**4 and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20443.\nAnswer: 20443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/9 of a day in minutes?\nAnswer: 4480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 43*f - 64.\nAnswer: -43*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*g. Suppose -3*x - 4*t = -34, 7*x - 5*t = 2*x - 25. Solve -x*i = -8*a + 4*a + 12, g = a + i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*w**2 + 39*w**3 - 85*w**3 - 372*w + 47*w**3 wrt w.\nAnswer: 6*w + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.5135872 to 3 dps.\nAnswer: 8.514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 15*d**2 + 22*d - 14. Let m(r) = -10*r**2 - 15*r + 10. Let b(z) = -7*m(z) - 5*x(z). Let h(c) = c**2. Calculate b(h(o)).\nAnswer: -5*o**4 - 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1081.6 + 1366239.\nAnswer: 1365157.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-10))\/(21\/(-15) + 1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.2 (c) -0.1 (d) 1\/7 (e) -1\/6 (f) 24\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -1 (c) 4.1 (d) 4 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 1)*(133 - 133 - 26*m)*(2*m + 2 - 2) to the form v + x*m**2 + p*m and give x.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 10*j - 1. Let s(a) = a**3 - 10*a - 9250. Give -g(r) + s(r).\nAnswer: r**3 - r**2 - 9249","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 0*z**2 + 5*z**2)*(-2 - 2*z + 2 + (0*z - 2*z + 5*z)*(3 + 0 - 2) + 2*z + 0 + 0).\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*-3*(-8 + 1). Suppose 0 = f + 2. What is the tens digit of t\/(-8) - f\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -2 (c) 85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, p: 2, i: 1, w: 1, j: 2}. What is prob of sequence ttwi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (7 - 3 - -6)) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {j: 1, n: 2, b: 3, o: 2, u: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 + 184*m**2 - 116*m + 331. Calculate i(-62).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 5*a**2 + 52*a + 256. Give l(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5 - 1. Let w(c) = 261*c - 5. Let x(k) = 48*k - 1. Let s(u) = -2*w(u) + 11*x(u). Calculate s(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 7*p**2 - 7*p + 10. Let k(x) be the third derivative of x**5\/30 + x**4\/12 - x**3\/2 - 65*x**2. Give -2*b(f) - 7*k(f).\nAnswer: 2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 32854*o - 131486. Determine h(4).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -z + 4*z, -3*g + 3*z = 60. Let i = -6 + -4. Let j = i - g. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 186946 + 55266 = 0. Is 84 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 2*v - 16, 2*v - 4*j - 10 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**3\/3 - 5*h**2 - 22*h + 25. Let k be z(12). Solve -y = -1 - k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163, -302, -441, -580, -719?\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12203201 + -10?\nAnswer: 12203131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*i = -888 - 646. What is the third biggest value in i, -3\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - 9*r**2 + 100*r**2)*(5 + 4 + 4)*(r - r - 2*r**2).\nAnswer: -2288*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(((-1)\/(-2))\/(-1)*-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -334645 rounded to the nearest one thousand?\nAnswer: -335000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-9)\/1134)\/(2\/(-7))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143*k**2 + 638*k - 342*k - 298*k + 3 to the form f*k**2 + m + i*k and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 290.088 to zero dps.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 10:19 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*s + 37 = 0, 3*a + 74 = 5*a + 4*s. Suppose 15*y - 728 = a. Which is smaller: y or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4) - 42\/20)\/(13\/(-130)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**0)**(4\/11)\/(x**(3\/5)\/x*x**(-1\/3)*x))**(-4\/37))**(1\/22) assuming x is positive.\nAnswer: x**(8\/6105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*1)**2 + (1 + sqrt(13))**2 + 4 + -5*sqrt(65)\/sqrt(80).\nAnswer: 3*sqrt(13)\/4 + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.21 in 44, 3, 14\/13?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/34859985 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, 2, 1, -1 in decreasing order.\nAnswer: 86, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 5:28 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 minus 169210.34?\nAnswer: -169210.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + -5 + 3*sqrt(288) + (sqrt(50) + 1)*6)*-6 + -2.\nAnswer: -468*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2059518666 divided by -2.\nAnswer: 1029759333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1881*f**3 - 380*f**3 + 1243*f**3.\nAnswer: 2744*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 49.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 12:56 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5065531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 402*l + 51016. Let h(g) = 4*g. Calculate p(h(r)).\nAnswer: 1608*r + 51016","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 5 = -2*f - 1, 27 = -3*y - 4*f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.9 rounded to 0 dps?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z - 1423 = 1307 for z.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 22511 (base 9) to base 16\nAnswer: 3a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 42*q = 58. Solve q*u + 4*l = 2, l = 4*u + 4*l - 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -82 - 54*r**2 + 82 + (-2*r + 3*r - 3*r)*(-2*r - 3*r + 6*r).\nAnswer: -56*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.063028\nAnswer: 0.0252112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1111010001000?\nAnswer: -1111010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5445.043kg?\nAnswer: 5445043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 13 + 97 = 0. Let g be (-8)\/(-12) + 7\/(42\/20). Calculate the common denominator of -95\/2 and (22\/g)\/((-14)\/q).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 18*j = -261. Solve 0 = 7*d - j*d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -0.8?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 - -76. What is the common denominator of 1\/(-5) + (-46)\/s and 3\/15 - 17\/110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4834.9 + -4834.7. Let g = -0.09 - -2.09. What is the closest to h in g, 1\/22, -0.1, -0.2?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/2)\/(18\/(-24)))\/4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeyueeyeeyy. Give prob of picking 1 u and 1 e.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -156312 + 1?\nAnswer: -156311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s - 3. Let d(p) = -20*p - 12. Suppose 2*o + 27 = -o. Let w(t) = o*n(t) + 2*d(t). Calculate the remainder when w(5) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2. Let p(n) be the third derivative of 4*n**2 + 0 + 13\/24*n**4 + 0*n + 0*n**3. Give p(o(r)).\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 3*y**2 + y. What are the prime factors of j(2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 30 + 30. Calculate the greatest common factor of 80 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128 - 128. Suppose o = -10*i - 3 + 73. Calculate the remainder when i is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*k + 15*k + 192 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/20)\/(-9))\/((-262)\/55020).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.298, 1, 0.046.\nAnswer: 0.046, 0.298, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3424226 rounded to three dps?\nAnswer: 4.342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1189, -2379, -3569?\n\"Answer: -1190*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 8. Let d(t) = 2*t**2 - t. Let z be d(0). Let y be g(z). Solve y = -a + 3*k, 3*k - k = -4*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 647, 934, 801, 38, -1565, -4218, -8131?\nAnswer: -13514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - b**2. Let o(x) = 19*x**3 - 2*x - 1. Let r(j) = -o(j) - 2*s(j). Let i be (-1)\/(-3) - (-12)\/(-9). Is 8 a factor of r(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - -10. What is the tens digit of ((-475)\/(-11) - 10\/v) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffxe when four letters picked without replacement from ssfexhfe?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -388, -583?\nAnswer: -778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - -2.9. Which is the nearest to 2\/17? (a) 2\/5 (b) o (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124869 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2201 - 0?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17312 and 6624.\nAnswer: 3583584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.315 + 3.315. Which is the third biggest value? (a) -1\/2 (b) r (c) -8 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46\/255 or 0?\nAnswer: -46\/255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 2. Let k be z(0). Suppose -2*v + 2*o + 76 = 2*v, 48 = 2*v + 4*o. Suppose -3*t - v = k*t. Let g(x) = -x**3 - 4*x**2 + 2*x + 6. Determine g(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211283377 to the power of 1\/2, to the nearest integer?\nAnswer: 14536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 47\/((-3619)\/210)*-11?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -1)*(-1 - 3). Suppose -c = t - 1. Let p(u) = -u**3 - 2*u**2 - u. Let y = 2 + -4. Let h(d) = d**3 + 3*d**2 + d. Determine t*p(n) + y*h(n).\nAnswer: n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-6)\/2))\/(13\/(-442)*2).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.045 in 17, -2\/7, -31?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -12*v**2 + v. Give m(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m + 54. List the prime factors of a(11).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 244171 and 8109.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -137, -138, -141, -146, -153, -162, -173?\n\"Answer: -b**2 + 2*b - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7449*u + 14 = 22*q + 7447*u + 74, -5*u = 2*q - 6*q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13323\/11 + -1211. Which is the closest to 0.3? (a) h (b) -0.5 (c) 23\/4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4056\/(-48) - -84)\/(-19 - 0)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -19*d + 1855. Calculate the smallest common multiple of 76 and o(93).\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 + 3*m**3 - 10*m**2 + 1 + 0*m**3 + 8*m**2 in the form b*m + c*m**2 + f + i*m**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4831962965037\/30910 - -781618101\/5. Let q = -17\/281 + i. What is the common denominator of 59\/16 and q?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 7*w**2 - 2*w - 8. Let o be t(8). Calculate the greatest common factor of 16 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 12:52 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -3080\nAnswer: -1\/3080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 5. Let i be z(-5). Suppose 2*o - 80 = -5*g, -3*g - o = -i*o - 47. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1444*w**5 + 125776*w**3 - 69780123*w + 3?\nAnswer: -28880*w**3 + 754656*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -4*y + 20. Suppose -3*v = -8*v + y. Suppose 0 = -5*t - v + 24. Solve -t*o = 4*l + 36 - 5, -2*l = 5*o + 33 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 13 = -2*f, 2*a + 3 = -2*f - 5. Suppose 8*x = 3*x - 40. Let n be x\/84 + 3\/7. Which is bigger: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from {x: 1, v: 1, m: 3, f: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 j when three letters picked without replacement from jvhzvwddj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2088 is divided by 66.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/15 in 8, 76, -15?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 1, r: 1, a: 2}. Give prob of picking 1 n and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 62*z - 568 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1528744071?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 != 146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + 5*z + 5*z)*(2 - 12 - 2 - 7) as d*z + c and give d.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11240396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 318 - 190. Suppose 2*k - 4*p = -p + x, -108 = -2*k - 2*p. Suppose 2*h + 30 = 4*h. Calculate the remainder when k is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3008)\/940*(-1 + (-14)\/(-4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -29 - (2 + 0 + -1). Let b = y - -62. What is the greatest common factor of b and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2088*r - 84 = -2130*r. Solve -2*i + 2 + r = 2*x, -2*x = 3*i - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 384*u**2 + 212*u - 853. What is the hundreds digit of h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, a: 6}. Give prob of sequence qa.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305960794.\nAnswer: 2, 152980397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -58530.\nAnswer: -11\/58530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/13)\/((6\/(-3))\/2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1005, -4148, -9415, -16806?\nAnswer: -26321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4994 - 1923 - 1814 + 1602)*(2*n - 3*n - n)*(-1 + 0 + 4 + (0 - 2 + 0)*(4 - 1 - 5)).\nAnswer: 99806*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -16*c + 4. Let t(k) = -16*k + 3. Let z = -4 + 0. Let a(m) = z*h(m) + 5*t(m). Let i be a(-1). Solve -d - i = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8263\/8 + 1033. What is the common denominator of -67\/226 and f?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 5. Let n be u(-8). What is the third derivative of -6*y**6 + n*y**6 - 11*y**6 + 4*y**2 wrt y?\nAnswer: -480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 38*h + 43*h - 61, 3*f - 4*h - 16 = 0. What is the greatest common factor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(44) + (sqrt(44) - 1*sqrt(44)*3))*5)\/((sqrt(100) - (sqrt(100) - -3*sqrt(100)))*-2).\nAnswer: -2 - sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9 = -2*i - 13, 4*q - 4*i = 24. Suppose q*z = -63 + 183. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97465 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 1569 in ascending order.\nAnswer: -1, 1, 1569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.192 equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*w + 6. Let k be (-8)\/((-32)\/24*3). Solve 2*q = 2*j + 2, -w*q - 3*j = -k*j - 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21264 (base 8) to base 15\nAnswer: 2974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*l + 5*q - 65, 70 = 3*l + 4*q. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffe when three letters picked without replacement from efqfeeqe?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3102 + 4?\nAnswer: 3110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55008598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/92*(-8)\/12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/16)\/(14\/(-614146456)). Let i = h + -15370703. Round i to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(525) + sqrt(525))\/(sqrt(847) + (sqrt(847) - ((sqrt(847) - (2*sqrt(847) + sqrt(847))) + sqrt(847)) - sqrt(847))) + 1 + 3.\nAnswer: -5*sqrt(3)\/11 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 583, 2123, 5843, 12823, 24143, 40883, 64123, 94943?\nAnswer: 134423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -249 - -406. Let m = y + -107. Suppose m = 3*c + 2*c. What is the greatest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 0 (c) 15 (d) 152 (e) 2\/7 (f) -2\/21 (g) -2\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3\/4 + 1452*c**2 - 5799*c\/4 - 5805\/2 = 0. What is c?\nAnswer: -1, 2, 1935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/(-1)*((-4)\/(-25))\/((-3632)\/(-13620))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62105*i + 11 + 0 + 5 - 15 + 0.\nAnswer: 62105*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/2)\/((-7)\/(-14)). Suppose 0 = -20*p + 21*p + s. What are the prime factors of (268\/(-6))\/(p\/9)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 12*s + 30*s + 11*s + 2 - 16*s. Is a(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33507638*o**4 + 40921999*o**2?\nAnswer: -804183312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2 - 2008*r - 275239. Determine u(-477).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1855268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 51 = -u, 12*u = 14*u - 6. Solve 0 = -9*l + 13*l + b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2*f = -8, 4*f = -u - 6 + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 17.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11372*d + 2 = b + 11369*d, 0 = 4*b + 2*d - 17 - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-14) + 4002\/42. Suppose 0 = -91*q + n*q - 5772. Suppose -299 = -o - 3*s, 6*s - q = -5*o + 4*s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -933*n**2 + 3 - 3.\nAnswer: -933*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11931441 greater than or equal to 11931450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37921693 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7692 at least as big as -7692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 26*i - 761. Determine w(30).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1624 = -22*z - 238. What is the remainder when z is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9994 and -20411?\nAnswer: 10417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*((-96)\/20 - -4). Suppose -2*z + l*v + 95 = -5*z, -z + 2*v - 15 = 0. Let y = 2 - z. Calculate the greatest common factor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-267822)\/12)\/((-9)\/6). Let g = w - 4579. What is g rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-111)\/148*(-8)\/10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77\/(-84)*-8)\/(6*4\/36).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(1700) + 0 + sqrt(1700))*5 - sqrt(1700))*-3 + 5 + sqrt(1700) + 1 + 0 + 5 + -1)**2.\nAnswer: -2600*sqrt(17) + 1149225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57298355.\nAnswer: 5, 11459671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*s - 17*s - 22. Suppose -5*a + 27 = 3*c, -4*a - 2*c + 0*c = -22. What is the smallest common multiple of a and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -7*q**4\/12 + q. Let b = -56 - -58. Let j(a) = 1494 - 1494 + 3*a**b. What is j(n(s))?\nAnswer: 147*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 18\/(-4)*(-828)\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 0*m**2 - 3 - m**2 - m - 1. Let k = 25 + -25. Give f(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2461028 by -39694.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - -77. Suppose -2*c = -24 - 2. Calculate the greatest common factor of c and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*s - 36, -2*w - 5 = 5*s - 48. Calculate the remainder when s is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 777288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 - 3*h**2 - 876*h**3 + 9*h**3 - 4190*h**3 + 33*h - h wrt h.\nAnswer: -30342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*q**3 + 3*q + 5*q + 304*q**4 - 88 - 2*q**3 + 170 + 4*q**3 wrt q?\nAnswer: 3648*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 30*a**2 + 72*a + 421. Let w be m(35). Calculate the greatest common factor of w and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/18 and 107\/676?\nAnswer: 6084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a factor of 14470571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 428058 (base 9) in base 14?\nAnswer: 6900b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 8*j + 8. Let p be b(-6). Let m(q) = 2*q**2 + 3*q - 8. What is the smallest common multiple of m(p) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -220010001000?\nAnswer: -220010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 244251?\nAnswer: 244300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 2*g - 28 + 18, -4*w = -2*g + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**9*m\/(m*m**(9\/2)\/m*m)*(m\/m**(-5))**(2\/85) assuming m is positive.\nAnswer: m**(959\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221257 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = -4*n + 77476, 2*n - 38763 = 43*d - 44*d. What are the prime factors of n?\nAnswer: 2, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**5 + 55*v**4\/4 + 200*v**3\/3 + 120*v**2 + 295. Determine y so that k(y) = 0.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52407072 by -10188.\nAnswer: -5144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31789432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 131459 divided by -1\nAnswer: -131459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 8. Let s(c) = c**2 + 4*c - 5. Let j(k) = k - 1. Let r(u) = g*j(u) - s(u). Let i(z) = 10*z**2 - 11. Let m = -168 + 166. Calculate m*i(q) - 22*r(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -2548.3 + 2741. Let y = g + -193. Which is the nearest to -4? (a) 0.04 (b) 2\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 5:58 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkuxxkkvivkzkzvvzx. Give prob of picking 1 i, 1 z, and 1 x.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3563 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-30) + 1 + -1.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.027708 - -743334\nAnswer: 743334.027708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 = 5*v - 0*v. Let s = -54 - -80. Calculate the highest common factor of v and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/775 and 89\/1550?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a382 - 4?\nAnswer: a37b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 6 = -5*g. What is the second derivative of -3*r + 2 - g + r**2 wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, x: 7}. What is prob of picking 3 x and 1 a?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*l - 5 + 6 = 0, 13 = i - 2*l. Is i at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 1 = 37. Suppose 6*x - i - 8 = 0. Solve -3*r + 20 = x*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l**3 - 18*l + 9 + 0*l - 11.\nAnswer: -16*l**3 - 18*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 0*r - 52. Let x(u) = -u**3 - 13*u**2 - u - 8. Let p be x(r). What is the second derivative of -p*n - 6*n**3 + n + 0*n + n wrt n?\nAnswer: -36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*q + 2 = -23, -2*t + 5*q + 31 = 0. Calculate the remainder when (t\/24)\/(4\/564) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 311 = 2*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/31, -0.01, -618, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 8. Let k be n(-16). What is the highest common divisor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l**2 - 7*l. Let h(g) = g**2 + g. Let q(k) = 14*h(k) + 2*n(k). Suppose -u - 66 = -3*u. Let v(b) = u*b - 33*b - b**2. What is v(q(c))?\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h**2 - 13*h + 38. What is the least common multiple of d(5) and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 4*h - 1405. Give l(-32).\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.694987ml?\nAnswer: 0.006694987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*-29*(-69)\/(-759) - (-7 - -2)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -18 + 9 + 7 + 4 + 2*x. Let b(l) = 3*l**2. Give b(r(m)).\nAnswer: 12*m**2 + 24*m + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 11. Suppose -10 + 4 = 2*l. Which is the closest to 1? (a) -2\/7 (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*p - 10 = -0, 0 = -3*y + 2*p + 16. Suppose -y*f + 10*f - 4 = 0. What is the greatest common factor of f and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Let b = -1 + o. Find the second derivative of 2*g**4 - g + b*g**4 - 6*g**4 wrt g.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from dddbdzbdbdbbzcbczbb?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 48151, 48155, 48159, 48163?\n\"Answer: 4*b + 48147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -9. Let j be -16*(1\/22)\/k. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 452*i**2 + 5*i + 4. Let z(c) = -456*c**2 - 5*c - 5. Calculate -5*d(b) - 4*z(b).\nAnswer: -436*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*f - 3*f. Let b(h) = -6*h + 13. Let z(s) = -3*s + 7. Let t(k) = f*b(k) - 11*z(k). What is the first derivative of t(w) wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 7. Let r be v(4). Let b = 2 - 4. Let t be -1*3\/b*2. Solve -t*s + r*m = 9, s + m = -2*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**6\/900 + u**5\/300 + u**4\/30 + 13*u**3\/3 + 29. Let j(k) be the third derivative of h(k). Let j(b) = 0. What is b?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22120210 + 1?\nAnswer: -22120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**2 + 9*i - 7. Let t(x) = -6*x**2 - 9*x + 6. Determine 5*j(w) + 6*t(w).\nAnswer: -w**2 - 9*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - 60 - 8*p + 2*p.\nAnswer: -p - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4e + e18d1?\nAnswer: e1882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 2. Let r be f(-2). Suppose -5*p + 13 = -4*i, -22 + 9 = -2*p - i. What is the third derivative of 0*z**p - 5 - 10*z**r + z**5 + 5 wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 571, 8\/29?\nAnswer: 571","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5884929 divided by -6\nAnswer: -1961643\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/142 and 77\/4.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -242753400 to the nearest ten thousand.\nAnswer: -242750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -20, 0.3, -191688?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -38800?\nAnswer: -38800.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/19 in 0.07, 0.4, 0.5, -4, 18, 0.0129?\nAnswer: 0.0129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 819*m + 844*m + 255*m)*(-2*m - 3*m + 3*m).\nAnswer: 4*m**3 - 3836*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 13*r**2 - 11*r - 132. What is f(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -3*d - 10, -3*k + 17 = 2*k - 4*d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 245 in -3, -3\/4, -1, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12997 + 5543 = 9*d. Suppose 671*t + d = 676*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 - 0.34. Let f = 76.24 + n. Let x = f + -77.9999953. What is x rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 6*c**2 - 21*c - 31. Determine r(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 l, and 1 h when four letters picked without replacement from {w: 1, u: 1, m: 1, h: 1, l: 2, q: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 0. Let r = 3.51 + -1.51. Sort r, g, 0.5 in ascending order.\nAnswer: 0.5, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61\/6 - 21\/2. Let n = 0.074 + -0.874. Let y = -4\/145 + 616\/1305. Which is the closest to 0.1? (a) g (b) n (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + u - 1, 2*k + u + 1 = 0. Let y be 4\/1 + 0\/k. Does 24 divide (-5 + 107)\/(y + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 3*g + 531 = 0. Let v = g - 57. Suppose 0 = 6*b - 5*b - 3. Solve v*w - 3*w = b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62 and 32.783.\nAnswer: 2032.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 1 + 3. Let d be 4\/6*6\/4. Let z be (-32)\/(-14) + (-1 - d). Which is the biggest value? (a) -3\/4 (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/7, -2\/16633, 1\/4 in descending order.\nAnswer: 2\/7, 1\/4, -2\/16633, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 50 = -5*r, -2*j - 4*r + 14 = -8. Suppose 0 = j*u - 6*u - 6. Suppose 0 = -s + u + 3. Solve 0*n = s*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -3*u + 16, 0 = -2*i - 3*i + 2*u - 19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**7\/105 - u**4\/6 + 5*u**2. Find the second derivative of k(o) wrt o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11730)\/756)\/(-85) + (10\/(-9) - -1)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-14) + (-10645131)\/74516946. Let n = m - -1133468571\/39032686. Let d = -202\/7 + n. What is the second smallest value in 3, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8983 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.13 - 2.63. Let z = 3.2 + w. Let g = z - 0.3. Which is the third smallest value? (a) -0.4 (b) g (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 3, 0.3478, 8, 0, 0.1, -12?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**7\/4620 + c**6\/990 + c**5\/660 - c**4\/66 + 10*c**3\/3 - 2. Let a(b) be the third derivative of u(b). Factor a(j).\nAnswer: -2*(j - 2)*(j - 1)*(j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1617 - 1605. Suppose 0 = -i + 9 - 3. Suppose -2*f + 0 - 2 = -s, 3*s = -2*f + i. Solve 2*b + b - j = f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 2*g**5 - 2*g**2 + (-2*g**4 + g**4 + 2*g**4)*(0*g - 5*g - 3*g).\nAnswer: -10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3010.29 kilograms?\nAnswer: 3.01029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/6861360 and -79\/397760?\nAnswer: 27445440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (123 - (-11 - 0) - 25).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**0)\/r)**(-50)*r**5\/(r*r**(-4)))**(-2\/23))**(-48) assuming r is positive.\nAnswer: r**(768\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -750 + 1537. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4891.06*-1\nAnswer: 4891.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(-1\/3)\/b)\/b))**(13\/4)*(b\/b**(-1\/3))\/b**(-1\/2)*(b\/b**(-1\/6)*b\/b**(1\/9))\/((b*(b*b**(-4))\/b*b)\/(b*(b\/b**(-3\/4)*b)\/b)) assuming b is positive.\nAnswer: b**(701\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4308999122?\nAnswer: 2, 1283, 1679267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8959.657 rounded to the nearest 10?\nAnswer: 8960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyylglllclelylssy. What is prob of picking 2 l and 1 g?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 y when three letters picked without replacement from lylyllll.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 25. Suppose -y*j + 253 = -3*r, 4*r - 622 = -5*j + r. Is 25 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 7827?\nAnswer: 39135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 7*f - 95. Solve 4*q + 18 = -y, -3*q + 0*q = -2*y + f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 222 - 449. Let a = m + 227.36. What is a rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25, -674, -2\/119?\nAnswer: -674","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + -61 + 27 + 78?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1597*d*j**2*m**3 + 2*d*j*m**2 - 2*d*m**3 - 2*d*m + 128*d - 5*j**3*m**3 + 7*j**3*m - 7*m**2 wrt m?\nAnswer: 9582*d*j**2 - 12*d - 30*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2735456038.\nAnswer: 2, 7, 195389717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a + 48 = 0. Let c(j) = -j - 2. Let b be c(-4). Suppose b*s = 3*s - a. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nznp when four letters picked without replacement from {e: 1, i: 5, n: 4, p: 2, z: 4, l: 4}?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 18 + -12 + 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4 = 3*p. What is the remainder when p - (3*-9 + 0) is divided by 4\/2 + 8 + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5 - 2*q**4 - 12*q**3 = 0. Calculate q.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-r - 6*r + 4*r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1396 + -354\nAnswer: -1750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17803970.1 microseconds in weeks?\nAnswer: 0.00002943778125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(152) + sqrt(152) + (2*sqrt(152) - sqrt(152)) + sqrt(152))*1 - sqrt(152)))\/(2*sqrt(72)*1).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/14144 and -19\/32640.\nAnswer: 424320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 87758.17 minutes?\nAnswer: 5265490200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4079677?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15482490.\nAnswer: 2, 3, 5, 569, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -80*x + 31. Is t(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*i + 19 = 0, -2 + 7 = -5*h + 2*i. Let v = -0.5 + 0.4. Let j = 11 + -8. Sort h, j, v in ascending order.\nAnswer: h, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 16 = -4*s, 7 - 26 = f - 4*s. Suppose -2 = 4*n - 30. Calculate the greatest common factor of f and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w**3 - 36734*w**2 + 14027772*w - 9335520 = 0. Calculate w.\nAnswer: -6483, 2\/3, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 52, 81, 130, 199, 288, 397?\n\"Answer: 10*t**2 - t + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 103*q - 595. List the prime factors of n(87).\nAnswer: 2, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 217160*s - 2171463. Determine u(10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from yassyyyssysysysssss.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 110241253133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -440 + -19. Let a be (-15963)\/x - -2*(-2)\/(-18). Let c(o) = o**2 + 4*o + 2. Let j be c(0). Put a, -2, j in ascending order.\nAnswer: -2, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 29 = -5*r. Suppose -2*q = s + 6, 5*q + 8 = -3*s - r. Let a(p) = -p**2 + 4*p**2 - s*p**2. Let k(m) = -6*m**2. Calculate a(k(h)).\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15047818 is divided by 205.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/3 + ((-26)\/24 - -2). Let o = b + -11\/3. What is the nearest to o in 2, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-64)\/80)\/((-1)\/5). Let n = 5 - t. Let b be (6\/(-1))\/((-1)\/n) + -3. Solve b*f = -5*k - 2, 5*f - 6 = k - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -155281a - 5?\nAnswer: -1552823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 1:18 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 76*v. Let i(b) = -4*b**2. Determine k(i(w)).\nAnswer: -304*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3330, 13329, 29984, 53289, 83238, 119825, 163044, 212889?\n\"Answer: -k**3 + 3334*k**2 + 4*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**3 - 121*b**2 - 13*b + 2069. What is z(40)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*(-12)\/132*1*-3)\/((-21)\/707).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 4:06 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -317731 bigger than -317699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -94 (b) 5 (c) -0.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78539034 and 48445.\nAnswer: 392695170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 11*u - 8. Does 5 divide n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34052 bigger than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -20538\nAnswer: 20539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(84) + sqrt(84)*3 + sqrt(84) - sqrt(84)) + sqrt(84)) - 3*2*sqrt(84))\/((sqrt(60)*5)\/sqrt(5) + (sqrt(1200) + 1*sqrt(1200) - sqrt(1200))).\nAnswer: -26*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 32567463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 668*l.\nAnswer: 4*l*(l + 167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -262*p - 95. What are the prime factors of r(-3)?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -3*h**3\/2 - 17*h**2 - 92*h. What is the remainder when 129 is divided by g(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103, 426, 983, 1792, 2871?\n\"Answer: 3*u**3 + 99*u**2 + 5*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8.943 (b) 2 (c) -0.2 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -27*g + 5137. Let b be d(168). Solve b = 3*v + 601 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**7\/42 - 3*f**6\/2 - 16*f**4\/3 - f**3\/6 + 47*f + 1. Find the third derivative of l(o) wrt o.\nAnswer: -60*o**2 - 1080*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -39 + -29 + (-10 - 21)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200592805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -u - 5, 3*u = 528426 - 528366 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160327912 to the power of 1\/2, to the nearest integer?\nAnswer: 12662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10 = -2. Suppose -5*w + 2*q = -30, 2*w + 7*q = 4*q + 12. Suppose 0 = 8*r - 2*r + w. Sort 0, r, y in descending order.\nAnswer: y, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -2. Let s = -30 - -22. Is q at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 - -86. Let c(k) be the third derivative of -k**5\/60 + 5*k**4\/12 - 2*k**3 - k**2. Let u be c(y). What is the nearest to 2\/3 in -0.3, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 8:23 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11451203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -17. Let a be (-28)\/(-10)*-1 - -2. What is the closest to 0 in 0, a, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1030 (base 4) to base 15\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36)\/(-40))\/(6\/10). Let h = -41\/3 + 13. What is the closest to 0.2 in o, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113474721 a multiple of 1596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 420*b - 8 + 68*b**2 + 2.\nAnswer: 68*b**2 - 420*b - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -198.95 + 201.7486. Let r = 2.8 - s. What is r rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -101313*b**4 - 152059?\nAnswer: -405252*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 + -55. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18857360 to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g. Let o = 85 + -80. Suppose o*x - 51 = -4*u + 38, u + 3*x - 31 = 0. Let d(t) = 6*t. Determine u*c(y) + 5*d(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from symy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t + 35*t = 84 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -173 - -178. Suppose -4*r + 32 = 5*o, -7 = -3*o - o + 3*r. Which is the fourth smallest value? (a) -5 (b) o (c) -3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002212020121 (base 3) in base 8?\nAnswer: -2173750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008476913 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is -2279235 divided by -5?\nAnswer: 455847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2642 smaller than -2642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*q = -q + 4, -4*z - q = -8. Suppose -1154 = -z*v + 3*y - 8*y, 3*y = -5*v + 2923. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28.24 - -24.24. What is the closest to 24 in b, -1\/4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2863 = 8*i - i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/450 + -103\/1350. Suppose 356*w - 357*w = 3*x, -5*x = -5*w + 20. Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnnxx. What is prob of sequence nxxn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6313955 and 25.\nAnswer: 31569775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 2 - 1)*(-2*r - r + 4*r) + 4*r - 7*r - 4*r)*(-3 + 4 + 4)*(11*r + 9*r + 8*r) to p*r + m*r**2 + t and give m.\nAnswer: -1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3528, 3499, 3452, 3387?\nAnswer: 3304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2168422 rounded to 4 dps?\nAnswer: 0.2168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 10*q**2 + q. Let k(l) be the first derivative of l**6\/360 + 2*l**3\/3 - 21*l - 48. Let t(c) be the third derivative of k(c). What is p(t(r))?\nAnswer: 10*r**4 + r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.25 and 3066.\nAnswer: -31426.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 31*n**3 + 5*n**2 + 10*n - 37. Let i(q) = -15*q**3 - 3*q**2 - 4*q + 19. Calculate 2*g(a) + 5*i(a).\nAnswer: -13*a**3 - 5*a**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -14*n + 8. Let p = 25 - 36. Let h(w) = -26*w + 15. Let u(s) = p*y(s) + 6*h(s). Let f(a) = 0 - 2*a - 1 + 3. Determine -2*f(q) + 3*u(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 504 + 26 = 0. List the prime factors of y.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*l - 1. Let u(o) = -o + 1. Let c be u(5). Let y = -1 - 1. Put c, y, l in descending order.\nAnswer: l, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2*-2)\/((-12)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k + 2*k**2)*(-2*k + 2*k + 2*k**2) + (2*k - k + 0*k)*(k**3 + 2*k - 2*k) - 3*k**4 + 4*k**4 - 3*k**4.\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111011001000 + 101000010?\nAnswer: 1000000000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, 135, -150, -3 in descending order.\nAnswer: 135, -3, -4, -8, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/441, -0.085, 39, -3\/5?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 = 4*o - 6*o, 3*b = -5*o + 9. Let x be o - (-482991)\/(-6)*-2. Round x to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 17*y**2 - 72*y. Let m(o) = -24*o**2 + 101*o. Let t(w) = 5*m(w) + 7*n(w). Let z(p) = 14*p**2 + 14*p. Determine -14*t(c) + z(c).\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 5) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 184 + -190. List the prime factors of c\/(-54) - 4823\/(-9).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8*w + 12. Let c be u(1). Solve 0 = 2*a + 3*a - 2*h + 15, 2*h - 10 = c*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60337 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60462 = 8903*l - 8921*l. Calculate the remainder when l is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 + 32 = 0. Let j be (1 + -11)\/(y - 19). Factor -33*a**5 + 29*a**j + 7*a - 4*a + 8*a**4 + a - 8*a**2.\nAnswer: -4*a*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 842.7 + -933. Let x = o + 107. What is x rounded to 0 dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*p - 26*p - 96. Let k be 4 - (p\/(-30))\/((-6)\/36). Factor 0 - 2\/5*q**4 + 4\/5*q**3 - k*q + 2\/5*q**2.\nAnswer: -2*q*(q - 2)*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505830202.\nAnswer: 2, 41, 173, 181, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1656404 (base 8) to base 15.\nAnswer: 97eae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*n - 15 = -4, 3*i - n = 9. What is the remainder when 3 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 4*c**2 - 3*c. Let o be f(3). Suppose 6*k - 10*k - 148 = o. Let w = 59 + k. What is the highest common divisor of 66 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*r - 51*r + 24956. Suppose 3*h + r - 4300 = 0. What are the prime factors of h?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 3*q**2 + 5*q + 5. Let d(f) be the first derivative of -f**3\/3 - 3*f**2\/2 - 2*f - 487. Give -5*d(o) - 2*h(o).\nAnswer: -2*o**3 - o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10505 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 4*r - 3*r + 27 - 15.\nAnswer: -8*r + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -3 + (-23 - (-4 + -39) - 35).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*p**3 + 47*p**3 - 10*p**3 + 1395*p - 19*p**3 - 1395*p.\nAnswer: 56*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/20)\/(((-48672)\/(-384))\/169)*(-90)\/(-46).\nAnswer: -18\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -568 + 608. Solve 5*l + 15 = n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962424437 to the power of 1\/3, to the nearest integer?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115 - 114.914. Let o = r - 26.086. What is the third smallest value in o, 0.1, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -28.98 (b) -1\/2 (c) -4 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26378 and 336374.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by (339\/(-9) + (0 - 3))\/((-22)\/33)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3515 and -5.\nAnswer: 17575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvv when three letters picked without replacement from {d: 8, v: 3}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*k + 1. Solve -k*i = 6, -4*g - 3*i + 2*i + 13 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -95, -604, -1513, -2816, -4507?\n\"Answer: u**3 - 206*u**2 + 102*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -345, -288, -217, -126, -9, 140, 327, 558?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -761202 in -2\/9, -4, 5, -2\/5, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + (3 + 4 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 2*d**2 + d**2)*(2*d - 2*d + 2*d)*(26 - 8*d - 26).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35343\/2180 + -1184\/109. Calculate the common denominator of 2\/3 - 806\/300 and h.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21334 + -1214?\nAnswer: -23103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100320222 (base 4) to base 10.\nAnswer: -69162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11441 (base 5) in base 7?\nAnswer: 2353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h - 9*h + h**3 + 4*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 7 + 7)*(-8 + 8 + 18*a).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(((z**1\/z)\/z)\/z*z))**(-1\/77)\/(z\/(z\/z**0))**(3\/8) assuming z is positive.\nAnswer: z**(-3\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 29790230 to the nearest 100000.\nAnswer: 29800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -200 + 733. What is the greatest common factor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 5. Let v = y + -0.6. Let f = 0.3 - v. Do f and 2\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1093*p**2 + 22*p**3 - 2*p + 1103*p**2 - 21 - 2 + 7 in the form l*p**3 + y*p + h + d*p**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven halves of a millisecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 2151?\nAnswer: 2152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 5*z - 26 = -51, 37*f - 32*f + 5*z = 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21 from -3.09286.\nAnswer: 17.90714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 45980348, 45980346, 45980344, 45980342, 45980340, 45980338?\n\"Answer: -2*c + 45980350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.137 - -7705077\nAnswer: 7705077.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 800\/6 - (-12)\/(-9). Solve 23*w - 17 = -f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 11*f + 28. Let n be v(5). Let w be 108\/90*n\/18*2. Let u = -0.27 + 0.17. What is the closest to u in 0.4, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000231459719 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3 + 7953*a**2 + 851448*a + 22348560 = 0. Calculate a.\nAnswer: -52, 2755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 0*p**4 + 0*p + 0*p**5 + 0*p**2 + 13\/6*p**6 + 13 - 1\/3*p**3. What is the third derivative of l(f) wrt f?\nAnswer: 780*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -288 divided by 2\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 7*y**3\/3 + 4*y + 3. Differentiate b(g) wrt g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 774874 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 2) + 2 + -5 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (442\/(-130))\/(2 + 311\/(-155))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631635 is divided by 90216.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 35 and -2892.3.\nAnswer: -2857.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -365, -731, -1097, -1463, -1829?\nAnswer: -2195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*y, 4*z - 5*y + 15 - 75 = 0. Let n = -3 + z. Suppose -n*j = -2*j - 15. Solve -4*r = -u - 21, 0 = -j*u + u + 3*r - 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405\/108*188\/3 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 12*p. Let h(k) = -k + 6*k - 8*k + 0*k. Give -18*h(r) - 4*s(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5 - 25504*m**4 + 510806*m**3 - 945092*m**2 + 459792*m = 0.\nAnswer: -12772, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 1364*x - 5463. Let k be u(4). Let t = 0 - 4. Which is the third smallest value? (a) -5 (b) 5 (c) k (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 - 18*m - 187. What is p(-15)?\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15814 - 15758. What is the remainder when 11255 is divided by p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15878*h + 5861*h + 59 + 10015*h.\nAnswer: -2*h + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**4\/54 + 11*a**3\/27 + 2*a**2 - 118*a. Factor d(k).\nAnswer: 2*(k + 2)*(k + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1047540412, -2095080826, -3142621240, -4190161654, -5237702068?\n\"Answer: -1047540414*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-80)*(-35)\/126?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p - x = 1505, -5 = x. Let t = -661 + p. Let y = -197 - t. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2570*v**3 + 304 + 1285*v**3 + 1283*v**3 in the form s*v + r + d*v**2 + j*v**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25147989 and 4657035?\nAnswer: 125739945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276459 is divided by 138229.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*k + 60*k + 22*k + 37*k.\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -304*o - 450*o + 22*o - 1557*o - 123*o to z + g*o and give g.\nAnswer: -2412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -252 and 927457.06865.\nAnswer: 927205.06865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -15*p - 28. What is the tens digit of j(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75254 divided by -2.\nAnswer: 37627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven tenths of a microgram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 33\/9)\/((-2)\/75). Suppose 507 + b = 4*r. Suppose -2*f - 5*d + r = 0, 4*d - 77 = 4*f - 273. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = 9*i + 4*i. Suppose 0 = -5*w + 5*k + 945, -3*w - k + 727 = 180. Calculate the remainder when w is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89 or -74?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:07 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m**2 + 437*m - 1361. What is f(45)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -15. Suppose 2*z - 17 = -p, -3*p = -0*p - n*z - 106. Calculate the highest common factor of 216 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 2*m**2 - 2*m**2)*(2*m**2 + 0 + 0) + m**5 + 0*m + 0*m + 3*m**5 + 6*m**5 + 21*m**5.\nAnswer: 33*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2893172?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2315 by -75932.\nAnswer: -5\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**6\/70 - c**4\/28 - 4*c. Suppose m(w) = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130715 (base 13) to base 9\nAnswer: -767445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61.5 + -61.4. Let u be (3\/(-6) - -2)\/(-2). Which is the nearest to f? (a) u (b) -5\/6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -75029 equal to -75031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 76 = 4*a, -15926*l + 15920*l = -a + 128 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 2364.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4928)\/27104 + 168\/1892?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -337, -1155, -2525, -4447, -6921?\n\"Answer: -276*d**2 + 10*d - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/13 (b) -4 (c) -3 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-3 - 1) + (-9 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 253163192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 474 - 782. Let g = h - -312. Which is the closest to 1? (a) -3\/4 (b) g (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3438 + -3432. Suppose g = 12 + 4. Calculate the remainder when g is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -18 - (-7 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 42 = 4*h. Suppose h*n = 13*n + 42. Put 4, n, -3, -2 in descending order.\nAnswer: 4, -2, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a**(2\/9))))**(-1\/10)\/(a*a**0)**(-12) assuming a is positive.\nAnswer: a**(1069\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwcx when four letters picked without replacement from pxdccwp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = 0, -2*d + 5*b + 12 = 48. Let o = -1 - d. Suppose 42 = a - o. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**5 + 3530*q**4 - 46885*q**3 - 107850*q**2 = 0.\nAnswer: -719, -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 5*i + 3, -5*i = 2 + 3. Let z(n) = 3*n - 6. Let d be z(s). Let -c**2 - d*c + 6*c + 1 = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00467113417 rounded to four decimal places?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-6)\/81)\/2\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*s = 913*s - 581*s + 3195 for s.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f**2 - f**2 + 1 - 3*f**2 - 2*f**2. Let u be z(0). Suppose o - 6 = u. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + u**2 - u - 2. Let a be i(0). Let s = 255 - 259. Sort a, 4, s in increasing order.\nAnswer: s, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((((sqrt(325) + sqrt(325) + 1 - sqrt(325) - sqrt(325) - sqrt(325)) + sqrt(325) + 2 - sqrt(325)) + sqrt(325))*-1 - (-1*(1 + sqrt(325)) + 1)))**2.\nAnswer: -750*sqrt(13) + 8350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 87, 1\/2, 2?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 233\/(-9) - (-398 + 372).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by 123\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.08 (b) 70 (c) -4 (d) -0.4 (e) -33.141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6\/r)\/r)\/r*r**(7\/2)*(r**1\/r)\/r**9 assuming r is positive.\nAnswer: r**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*t - 38*t - 22*t.\nAnswer: -39*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, t: 3, i: 1, l: 5}. What is prob of sequence itt?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 148.4939.\nAnswer: 148.4939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4229, 20, -6997, -16822?\n\"Answer: -1404*f**2 + 3*f + 5630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**3 - 2*z**2 + 3*z. Suppose 11*v - 404 = 366. Calculate the remainder when v is divided by w(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, -2\/25 in descending order.\nAnswer: 12, 0, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000082392201 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 95237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2676 - -2680. Put -2\/43, o, 3\/2, 1\/3, 2\/9 in increasing order.\nAnswer: -2\/43, 2\/9, 1\/3, 3\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(32)*3 - sqrt(224)\/sqrt(63).\nAnswer: 5 + 32*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*(-250)\/225 + (-2622)\/(-133))\/((-1)\/(-343))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -263*q + 5788. Let o be t(22). Solve o*g - 376 = -364 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -11*z**2\/2 + 17. Let v(t) = 483*t + 479*t + 5*t**2 - 2*t**2 - 962*t. Give g(v(d)).\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 3:17 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.1516288.\nAnswer: -0.6065152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 123155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 301216987171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + z + 5. Let j be g(0). Suppose j*s = -2*d - 5, 2*s - 26 = s + 5*d. Let a = 12\/5 - 2. Which is smaller: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**5\/12 - 10*v**3\/3 - 3*v**2. Find b such that s(b) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z + 87. Let k be y(-26). Find the first derivative of 118*o - 39 - 45*o - k wrt o.\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*((-2)\/6 + 70\/84). Which is the second smallest value? (a) -28 (b) m (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*a - 148765 + 148744 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2568, -2559, -2572, -2619, -2712, -2863, -3084, -3387?\nAnswer: -3784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*z + 7 + 17 = 0, 0 = -2*z. Calculate the greatest common divisor of 24 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -45 - 2*d + 45. Let i(q) = 6*q**2. Determine j(i(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {v: 5, d: 8}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -76*c**2 + 94*c - 5. Let z(l) = 325*l**2 - 376*l + 21. Let x(u) = 9*r(u) + 2*z(u). What is the second derivative of x(t) wrt t?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9773*v - 4885*v - 3*v**2 - 4888*v. Let h(x) = -107*x. What is h(b(f))?\nAnswer: 321*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 3:41 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4291522?\nAnswer: 2, 701, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.93 + 21.23. Sort x, 2\/7, 2\/13, 26.\nAnswer: 2\/13, 2\/7, x, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6 + 16 - 8 - 6*d**3 wrt d?\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = 51*r + 140. Let a be -3 - (-2 + 19\/r) - 2. Find i, given that -2\/5*i**2 + 0 + 0*i - a*i**3 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-64 - -4075)*6\/9. What is the highest common factor of s and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 3:56 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*w + 100*w + 149*w = -15606. Which is smaller: -14 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6388839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*sqrt(70) - sqrt(70))*1 - (sqrt(70) + 4*2*sqrt(70)))\/(-1*sqrt(40) - (sqrt(10) + (sqrt(160) - sqrt(10) - sqrt(10))*1)).\nAnswer: -5 + 12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12009.98g to micrograms.\nAnswer: 12009980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*y**2 - 5*y**2 + 2*y - 9*y**2 - 10 + 2*y**3 - 3*y**2 as m + n*y + x*y**2 + f*y**3 and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*w + 15. Let j be -3 - 2\/((-4)\/w). What is the closest to -0.4 in -1, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 1. Suppose 4*h - v = 24, -4*v + 5*v = 3*h - 19. Let j be y(h). Let f(b) = b. What is f(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111 by -3.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*v**2 + 12*v**2 + v + 0*v**2)*(-5 + 4 + 3) to the form f*v**2 + c + b*v and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 2\/27 (b) -27 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Let j = -62 + 58. Let r(y) = -6*y + 6. Let g(d) = j*m(d) - r(d). Let u(t) = 2*t - 1. Give -2*g(k) + 11*u(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.9413 and -0.2.\nAnswer: -1.18826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 447\/2 - 205. Find the common denominator of t and -13\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 8 = -2*w, 2*w = -5*h + 8 - 20. Let v(k) = 3*k**2 - 33*k - 8. Let f(x) = -5*x - 1. Let z(a) = -7*f(a) + v(a). Calculate z(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {i: 3, j: 3, e: 2, h: 1, d: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 5*r + 2. Let f be i(7). Let m be 9\/f + 3\/2. Let v = 8 + -3. What is the third smallest value in m, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1. Let g(l) = -l - 5. Let b(i) = 1. Let u(k) = 5*b(k) + g(k). Determine -j(w) - 2*u(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Suppose q = -3*o - 2*o - 20. Let i(p) = p + 4. Let t be i(o). Is t > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, 3, 2, -13, 5.\nAnswer: -13, 2, 3, 5, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -14*m**5 + 7890*m**4 + 68264*m**3 - 437856*m**2 - 830592*m + 3953664 = 0.\nAnswer: -12, -24\/7, 3, 4, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 19. Let o(p) = p**2 - 6*p - 23. Let h be o(9). Let t(s) = -20. Let r(c) = h*t(c) + 5*w(c). Differentiate r(y) with respect to y.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14611 - -2330?\nAnswer: -12251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 9*r**2 + 4*r + 3. Let j be v(-1). Let h(a) = a**2 - 3*a + 2. Let g be h(2). Solve 2*q + j = -c, g*q = 5*c + q + 22 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38.7 - 46. Let x = f + 7.4. Which is smaller: -1\/12 or x?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - ((0 - 1) + -16)) + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12876.9 rounded to the nearest 10?\nAnswer: 12880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*q - 5*j - 1149 = 0, 283 = q + 3*j. Is q a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p = x + 275, 0 = -p - 2*x + 150. Suppose 6*z - z = p. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 915068 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = g + 4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 14*i - 861 = -823, 3*i = 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -q + 6*q. Suppose 0 = q*o - 3*o - 13508. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9322 - -9317. Let c = 1 - 2. Put c, 0.1, 3, w in decreasing order.\nAnswer: 3, 0.1, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 + (-2)\/4. Let x be (-4)\/18 + j - (-20)\/9. What is the third derivative of -21*s**3 + 2*s**x + 2*s**2 + 4*s**2 wrt s?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*(sqrt(1331)*2*-5 - 2*(sqrt(1331) + -1*sqrt(1331) - sqrt(1331))) + 1)**2.\nAnswer: -528*sqrt(11) + 766657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -388 - -115. Let b = s - -283. Solve -4*k + 0*h + 4*h = 20, 2*k = h - b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(3)*-2 + -2*sqrt(18)\/sqrt(6))*6)**2.\nAnswer: 21168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 - 24*k + 24*k)*(5*k**2 - k**2 - 2*k**2) - k**4 - k**4 + k**4 + 2*k - 2*k - k**4.\nAnswer: -14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 + -11100110010?\nAnswer: -11100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18548 (base 10) to base 2.\nAnswer: -100100001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11377146 to 4 decimal places.\nAnswer: 0.1138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 11*g + g**3 + 4 - 3 to x + j*g + b*g**3 + m*g**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 2*d**2 - 4*d - 1. Let l be j(-3). Suppose 22 + 3 = l*a - 3*h, 47 = 3*a + 5*h. What is the greatest common factor of 126 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 81199563?\nAnswer: 81199563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734593.\nAnswer: 353, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Suppose 0 = -2*x + y + 7, 10 = d*x + 2*y - 0*y. Let c be (x\/6)\/((-8)\/(-228)). Solve 3*p = -2*a - c, 23 = 2*a - 6*a - p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 - 45*b**3 + 2*b**3 - 3*b - 102 + 103. Let i(o) = 42*o**3 + 4*o**2 + 4*o - 1. Let y(v) = 4*i(v) + 5*q(v). What is the units digit of y(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00561511258 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 2. Let g be b(4). Suppose 0 = -4*y + 3*y + 3. Let z = y + g. Calculate the smallest common multiple of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*v**2 - 6*v**2 - 18*v**2)*(2 - 1 + v + v).\nAnswer: -26*v**3 - 13*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466933.1 litres to millilitres.\nAnswer: 466933100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.8 (b) -3 (c) -10 (d) -2 (e) 0.3 (f) 3\/4 (g) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/15)*v**(-5)\/v)\/((v\/(v\/v**8))\/(v*v\/((((v\/v**24)\/v)\/v)\/v))) assuming v is positive.\nAnswer: v**(211\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -50?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(156)*-5*-2*3)\/(sqrt(300) - (sqrt(300) - -1*sqrt(300))*-4 - 3*sqrt(300)*-1) + 4.\nAnswer: sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**7\/126 - t**6\/72 - t**5\/18 - 8*t**2. Solve d(a) = 0 for a.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5, 77, 293, 731, 1469, 2585, 4157?\n\"Answer: 13*k**3 - 6*k**2 - k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5*(sqrt(1100) + 1 + sqrt(1100) - sqrt(1100))*-3 - 3*-6*(sqrt(1100) + 0 + sqrt(1100))))**2.\nAnswer: 244800*sqrt(11) + 45781200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3035, 7267, 11535, 15839, 20179, 24555, 28967?\nAnswer: 33415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 18*k + 3 = 0. Does 26 divide k\/((4\/390)\/(3 - 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7403\/22882 + 5*(-2)\/(-340)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 250355 divided by 5\nAnswer: 50071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((8*m - 5*m + 6*m)*(-m + 4 - 4) - 3*m - m**2 + 3*m)*(-34*m - 15*m - 6*m) as h*m + i*m**3 + f + w*m**2 and give i.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 2 + 0)*(-2*n**2 - n**2 - 6*n**2) + 2*n**2 - n**2 + 0*n**2 + (-1 + 2*n**2 + 1)*(1 - 1 + 1).\nAnswer: -150*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 852880.3kg?\nAnswer: 852880300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/230 and -53\/61709023.\nAnswer: 617090230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 177589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2302 divided by 21.\nAnswer: -2302\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -37, -0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-6) + (-3)\/2. Solve -5*g = 3*v + 2*v + 10, k = -g - 4*v + 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 6\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.07 - -0.07. Let m be (-11 - (-6 - 15)) + 12. Let h = 1.6 + -2.6. What is the third smallest value in v, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 3279.\nAnswer: 22953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29330 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 1\/47420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 26 = 14. Suppose 6 = 4*z - 3*z. Let k = x - z. Solve p - r - 3 = -0*r, -k*p = -3*r - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -6\/21570385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in 4, 3\/4, -3, 0.2, 244?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -598, 0.8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -797*d - 3733. What is a(-5)?\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*q - q - 2 = 0, -3*g + 3*q + 6 = 0. Let z be g\/(-2)*(-2)\/4. Let x = 7 - 11. Which is the nearest to -0.1? (a) x (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7787231?\nAnswer: 31, 251201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -240, -633, -1390, -2631, -4476?\nAnswer: -7045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1365\/(-210) - (3\/9)\/(1\/(-21)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2755 (b) 0 (c) -0.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -289 - -690. Suppose 6*o - 2033 = -r. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70521236 divided by -4.\nAnswer: 17630309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 681381207 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {p: 1, j: 2, b: 4, i: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001110000000 - 101100010?\nAnswer: 1001001000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6087*r - 16972*r - 766611 = 17508*r for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 9:13 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -15*w**3 + 2*w**2 + 2*w + 1. Let f(d) = -d + 4. Let b be f(5). Is 16 a factor of t(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-862)\/(-26291) - (2 - 10798\/5551)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -376 - -381. Factor 1\/3*w**3 + 0*w**2 - 1\/3*w**4 + 0 + 0*w - 2\/3*w**o.\nAnswer: -w**3*(w + 1)*(2*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -396639.62665 + 279677.926. Let s = 116959 + t. Let n = 2.7 + s. Round n to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**4\/18 - 6896*c**3\/9 - 11888704*c**2\/3 + 8*c - 448. Factor q(j).\nAnswer: -2*(j + 3448)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*z = -9*m - 85*z - 66, 2*m + 166 = -3*m - 13*z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24526 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52329679, 52329677, 52329675?\nAnswer: 52329673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7554\/(-15))\/(24\/60) - 0. Is p equal to -1261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.42 - -0.41998. What is c rounded to seven dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.1. Let w be (4\/(-6) - (-196)\/78) + -2. What is the closest to 1\/4 in w, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 33, -4, 1045 in increasing order.\nAnswer: -5, -4, 4, 33, 1045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -197*r**3*x**3 + 87*r**3*x**2 + 11*r*x**2 + 6*x**3 + 5 wrt r.\nAnswer: -1182*r*x**3 + 522*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 10, -2, 5799, 4, 1.\nAnswer: -2, -1, 1, 2, 4, 10, 5799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -420\/11 + 1792\/55. Calculate the common denominator of x and -32\/59.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4 = -8*y. What is the remainder when 2*(-57)\/6*y is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4565 and 5610?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4, -3*q + 71*b - 66*b = -167. Calculate the greatest common divisor of q and 2401.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23.1 >= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*s + 1570, 3*s - 109*d = -110*d + 1540. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (13 + -12 - 8 - (-89 - (2 - -1)))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2\/6 - 2*g\/3 - 39\/2 = 0.\nAnswer: -9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -261378*k + 19. Let i(p) = -102*p. Determine r(i(f)).\nAnswer: 26660556*f + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*((o**(-3)*o)\/o)\/o*o*o*o)\/(o\/(o*(o\/(o*o*o*o**(-6)))\/o)))**47 assuming o is positive.\nAnswer: o**235","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*j**3\/13 + 368*j**2\/13 - 616*j\/13.\nAnswer: 2*j*(j + 22)*(9*j - 14)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/5 (b) -2\/13 (c) -0.3 (d) 0.08 (e) 168 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166*p*r**3 - p*r**2 - 2*p*r + 6475*p - 556279*r**3 + 38*r**2 + 2*r + 3 wrt r.\nAnswer: -996*p - 3337674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 5 = -2*f + 8*h, -2*f + 4*h = -4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**4 + 3936615*r**3 - 66923058*r**2 + 346426176*r - 566879904 = 0?\nAnswer: -1312222, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32605, 32609, 32617, 32629, 32645, 32665, 32689?\nAnswer: 32717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(1\/(16\/6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 + 115. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(104) + sqrt(104))*1 + -2*sqrt(104)*1)\/((sqrt(112)\/sqrt(2)*-1)\/sqrt(7)))**2*3.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 21311555?\nAnswer: 21311552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*b**4 + 2*b**4 + 2*b**4 + (2*b**2 + 4*b - 4*b)*(-b + b**2 + b) + 0*b**4 - 2*b**4 + b**4.\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + -6*60\/(-9). Let n(x) = x**2 + 3*x. Let q be n(-4). Solve -4*d + z = -y + 6*y, 2*y = -q*d + 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 + 1855*k**2 - 3*k**3 - 16*k**3 + 16*k**3 - 1855*k**2.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*o - 32*o + 144*o**3 - 67*o**3 - 75*o**3 + o.\nAnswer: 2*o**3 - 167*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccsqcscssssccsccec. Give prob of sequence sqc.\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/112 and -69\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 2*a. Suppose 14*b - 12*b - 3828 = a. Let y = b - 553. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3807536*d**3 - 28814*d - 19 wrt d?\nAnswer: -22845216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 + c - c)*((2 - 1 + 0)*(1 + 1 - 3) + 1 + 0 - 2 + 5 - 5 - 1 - 1 + 6 - 4 - 8 - 1 - 26)*(-15*c + 2*c - 6*c).\nAnswer: -1406*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101122212 - -101201?\nAnswer: 1102001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*z**4 - 978156*z**3 - 5806512*z**2 + 256176*z = 0 for z.\nAnswer: -1779, -6, 0, 6\/137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 + 2*h - 1. Let o be s(1). Let r be (4 - (0 + o))*2. Differentiate 0*x + 3*x - 3*x + 2 - 4*x**r with respect to x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 110 = u. Let b(g) = g**2 + 2*g - 9. Calculate the remainder when u is divided by b(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -10*s + 242. Let k be z(23). Suppose 5*b = 5*i + 150, k*b - 7*b = -4*i + 177. Solve -l - 2*q + b = -6*l, -3*q - 13 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 0*y + 3*y + 7*y - y + 9*y**2. Calculate u(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 73503.\nAnswer: -4\/73503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g**(-11)*g)))\/g)\/g*g*g)**(-38) assuming g is positive.\nAnswer: g**380","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Let j(f) = -12*f - 4. Calculate 2*j(m) - 22*t(m).\nAnswer: -2*m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 + -0.9. Let a = l + 1. What is a rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, -5, -6, -318284?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s**3. Suppose 0 = -5*o + 2*o + 3. Let k = -103 + 102. Let m(c) = c**3 - 1. Let h(j) = k*n(j) + o*m(j). What is the first derivative of h(w) wrt w?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c - 11 = -3*a, 5*a - 13 = -2*c. Suppose -m + 4*o = m + 2, 4 = -c*o. Let n(d) = -2*d**3 - 2*d**2 + d - 6. What are the prime factors of n(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 2.48544.\nAnswer: 1.48544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23734 times 3?\nAnswer: 0.71202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u**2 - u. Let p be 27 + 0 - (1 + 2 - 1). Suppose -p*w + 60 = -40*w. Let x(s) = 7*s**2 + 2*s. What is w*z(l) - 3*x(l)?\nAnswer: 7*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33795*l**2*y + 4*l**2 + 959*l wrt y?\nAnswer: 33795*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 114) + 189 + 7\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 524207 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 + -62. Let u(y) = -q*y + 3*y + 11*y. Let g(t) = -3*t. Calculate g(u(d)).\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 7*p - 707 = 0. Let g be 39\/9 - 2\/6. Suppose 5*q = 3*z + 257, 128 = 5*q + g*z - p. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**2*l**2*v**3 - 2*h**2*l**2*v**2 - h**2*l**2*v + 4*h**2*l*v + 17*l**2*v**3 + 2*l**2*v**2 wrt v.\nAnswer: 24*h**2*l**2 + 102*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 212, 3014, -2 in descending order.\nAnswer: 3014, 212, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-204)\/28 + 9)*14*1\/(-10).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-21)\/((-1302)\/(-589)))\/(3\/(-6))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Let d(l) = l**3 + 2*l**2 - 6*l - 7. Let s be d(-3). Let b(j) = 2 + 23*j**s + 22*j**2 - 27*j**2 + 19*j**2. Determine b(y(m)).\nAnswer: 37*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 7 = -3*c, 3*c + 3*z = -3 - 6. Let m be (-2 + c)\/((-2)\/10). Suppose -13 = -m*h - 3. Solve -2 = h*a + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*m + 853 - 880 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/72 and 119\/10546854.\nAnswer: 126562248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1871 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**4\/4 - 10*n**3 - n**2 - 28*n. Let i be d(10). Solve 2*x + 2*h - h = 2, i = -4*x + 4*h + 28 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1892 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 61813.95 years in millennia?\nAnswer: 61.81395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*23*2368\/14720?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 7*f**2 - 15*f + 14. Let v be l(4). Let j(g) be the second derivative of 0*g**v + 1\/6*g**4 + 0 + 0*g**3 + 4*g. Let h(w) = w**2. Give j(h(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4228 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*5\/(50\/(-5305)). Suppose -3*c = 5*w - 1310, 3*w - 5*c + k = 7*w. List the prime factors of w.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -3 (c) 2854\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1999935172?\nAnswer: 2, 499983793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4604600 to the nearest 10000.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 142683?\nAnswer: 285366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 - (57 + (2 - 163))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1943754?\nAnswer: 2, 3, 29, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-30)*(-1350)\/630.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -344*u**4 - 31*u**3 + 8*u**2 - 14576827*u.\nAnswer: -4128*u**2 - 186*u + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, t: 6, m: 1}. What is prob of picking 2 m and 1 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -90, 1, -2, 5 in increasing order.\nAnswer: -90, -29, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5 = -6*x. Let d(q) = -q**3 + 15*q**2 + 17*q - 15. Let y be d(16). Sort 2, x, y in increasing order.\nAnswer: x, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.13 + -4.87. Let j = 4 - -4. Let i = j + o. Sort -0.3, i, -2\/15 in ascending order.\nAnswer: -0.3, -2\/15, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/21 - (-328)\/56. Let i(v) = -v + 2. Let n be i(0). Let c = z - n. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(20) + sqrt(20)*2 + 2 - ((sqrt(120) + (sqrt(120) - ((sqrt(120) + -1*sqrt(120) + sqrt(120) - sqrt(120)) + sqrt(120))))\/sqrt(6))**2)*2.\nAnswer: -34 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**7\/504 - n**6\/72 - n**5\/24 - 17*n**4\/24 + 8*n**2. Let a(w) be the second derivative of p(w). Factor a(h).\nAnswer: -5*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 + 153. Is 40 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*(63\/(-15))\/((-216)\/180)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(325) + 3 + 4 + sqrt(325) - sqrt(325)) + -1 + -2 + 3.\nAnswer: -20*sqrt(13) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 2*v**2 + 3*v - 1. What is j(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(143) - ((sqrt(143) - (sqrt(143) - 2*sqrt(143))) + sqrt(143)))*5)\/(((sqrt(121) + 1*sqrt(121) - sqrt(121))*-6)\/sqrt(11)).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 137*w**2\/5 - 177*w\/5 + 8.\nAnswer: (w - 1)*(137*w - 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 640 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/((sqrt(1008)*1 - sqrt(1008) - sqrt(1008)) + sqrt(7)).\nAnswer: -sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44595 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/(-10) - (3 - 10\/5) - 1\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 + 20*f**2 - 28 + (-1 + 1 - f)*(-2*f - f - f) + 0*f**2 - f**2 + 3*f**2 as y*f + v + d*f**2 and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10568*p - 5322*p - 8 - 5305*p)*(-3*p + p + 0*p).\nAnswer: 118*p**2 + 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 1:07 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*n - 4 = 0. Suppose p + 1 = 0, -n*h + 4*p + 100 = -0*p. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -2*v**3\/3 + 19. Let b(f) = -10*f + 2. What is y(b(h))?\nAnswer: -200*h**2 + 80*h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1840343*p**2 + p - 920196*p**2 - 920240*p**2.\nAnswer: -93*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g - 21*g + 18 = -3*o, 2*o + 2*g = -16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/4)\/(l*l\/l**(-6)) assuming l is positive.\nAnswer: l**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 4*k + 2. Let t be y(-4). Suppose t*c - 20 = 12. Calculate the greatest common divisor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1803 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -3, 2, 3\/146, 0.205, 3?\nAnswer: 0.205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34.9 + -34.6. Which is the third smallest value? (a) -48 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 593542050 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16.57626 days?\nAnswer: 23869.8144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48208 - 15742975.593.\nAnswer: -15791183.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19233, -18987, -18741, -18495?\nAnswer: -18249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 48 - 6\/6. Let y = -66 + q. Find the common denominator of -71\/32 and ((-6)\/y)\/((-42)\/(-686)).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at most as big as 2.35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.03, 2\/97, -5\/59?\nAnswer: -5\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*z**2 - 13*z**4 - 4 - 4*z**2 + 11*z**4 to the form r*z**4 + k*z**3 + v*z + h*z**2 + j and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -6. What is the remainder when 122 is divided by p\/(-12) + (-366)\/(-9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.06, 1, 3.2, 1\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 5\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -7*c**6\/30 + c**3\/6 - 22*c. What is the second derivative of z(j) wrt j?\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83711368 and 13416.\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114070 is divided by 3889?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**5\/60 - 64*d**2 - 3*d. Let f(z) = -6*z**2. Give 6*f(o) - 33*l(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gggggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 36. What is the lowest common multiple of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44146 is divided by 107?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -0.5 (c) 12 (d) -5 (e) 0.1 (f) -6.226\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -172, -181, -190, -199?\n\"Answer: -9*t - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -626 + 626. Let n = -2 - -2. Let a = 0.3 + n. What is the closest to 1 in v, a, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43600 and 135440.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 p when three letters picked without replacement from pppppppbbpppp?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568\/588*810\/36?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 31 - 54)*(-5*t - 6*t - 2*t)*(-2 - 3 + 3).\nAnswer: 52*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 3*p**2 + 5*p. Let y be u(-10). Let s be y\/((-2235)\/(-1120) - 2). What is s rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 8, r: 4}. Give prob of picking 1 q and 2 r.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2455?\nAnswer: 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(84) - (sqrt(84)*-3 - sqrt(84))*-2)\/((2*sqrt(576))\/(sqrt(75)*2)).\nAnswer: -15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -363, -948, -1995, -3636?\nAnswer: -6003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33391655 to the nearest integer?\nAnswer: 5779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9589479 seconds in hours?\nAnswer: 0.00109970775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 601751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0085022815 to 6 decimal places.\nAnswer: 0.008502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 11:30 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (1 + 2 + 0 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440993 divided by 24?\nAnswer: 2440993\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*g - 1, -g = -4*o + 12 + 6. What are the prime factors of 228\/39 + g\/13?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 1 + (-15)\/3. What is the units digit of -2*(-1 + h + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1962 - -1959. What is the nearest to v in 0.2, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 25 - 67876*a + 135744*a - 67868*a - 25.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 3370.\nAnswer: 3369.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 561*i + 7124.\nAnswer: (i + 13)*(i + 548)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 + -71. Let v be (4 - (-39)\/6)*12 - g. Let r = v + -72. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136627 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -258, -387, -516?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 72*o - 69*o - 16 + 142*o.\nAnswer: o + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.003? (a) -1 (b) -4 (c) 911 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -297*j + 19*j - 13*j - 53*j - 40*j in the form k*j + y and give k.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from {l: 1, b: 1, z: 1, w: 2, q: 1, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08095 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + sqrt(363)*2)**2*2.\nAnswer: -2954 - 440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*j + 31 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -46683*j**2. Let k(n) = -10*n. Calculate u(k(l)).\nAnswer: -4668300*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 14*s**2 + 0*s - 1\/30*s**5 + 7\/24*s**4 + 0 + 1\/3*s**3. What is f(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, d: 4, t: 3, b: 1, g: 7}. Give prob of picking 1 d and 1 b.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 0*w - 3*w)*(-36611*w - 3 + 38768*w + 6) as d + i*w + g*w**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -3858?\nAnswer: 2\/1929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**4\/8 - 5*c**3\/3 - 13*c**2 + 3. Let g be i(-6). Solve g*p - 4 = 36 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/37386 and -67\/564?\nAnswer: 3514284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1938 = -5*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23826 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006685037 to four dps.\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3\/((g**0\/g)\/g))\/(g*g\/(g*(g**(-1)\/g)\/g))**(-31\/3)*((g**1\/g)**(-5\/13))**(3\/25) assuming g is positive.\nAnswer: g**(139\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y - 4. Let h be u(-1). Suppose 0 = -h*z + 31*z + 31. Sort 2\/3, z, -0.06, 3.\nAnswer: z, -0.06, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -4\/3, 10\/9, -2\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2793\/14)\/((-2460)\/(-1640))\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-5))\/((-8)\/20). What is the nearest to c in 0.2, -4, 1\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -258 + 253. Let q(z) = -2*z**3 + 5*z**2 - z - 2. Let b(p) = p**2. What is m*b(f) + q(f)?\nAnswer: -2*f**3 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624 a factor of 1345105608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a century in months?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 - 33*g**2 + 18*g + 16. Calculate l(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 3\/(15\/7). Let w = -1 + 2.5. Let c = -1 + w. Put m, -3\/8, c in decreasing order.\nAnswer: c, m, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 1 + 1\/3*k**3 - k**2 + 0*k. Find the second derivative of f(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 + 3*b**3 - 2*b**3 + (-215*b + 62*b - 77*b)*(-2*b**2 + 2 - 2).\nAnswer: 459*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h + 3*h + 9*h + 0*h to d + n*h and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 85\/95) + 74\/19. Let h be u\/(-24)*-4 - (-102)\/9. Let c be 1 + (-3)\/(3\/(-5)). What is the highest common factor of h and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*f + 23*f + 99*f = 21710. Solve 107 = -23*r + f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 59 + 29 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1229246 - -1229333. Suppose 5*h - 22 = 148. Calculate the remainder when y is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/2*n - 1\/2*n**2 - 9.\nAnswer: -(n + 2)*(n + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 1110020?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c715 - 162a?\nAnswer: 2b0b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*n**3 + 6*n**4 - 837*n - 162*n**3 + 527*n + 960*n wrt n.\nAnswer: 72*n**2 - 1146*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 14. Let t be r(-10). Let m be (573\/9)\/(t\/12). Let a = m - 95. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2474946618 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*k + 14*k + 40. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 260525 = 2865777\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 - -314. Suppose -6*v - z + 252 = 0. Sort 71, v, 2.\nAnswer: v, 2, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-34) - ((-1160)\/(-255) - 4). Is v equal to -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.6 - 0.6. Let j = 54 - 204. Let w = j + 597\/4. What is the closest to 1 in p, w, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**2 + 55790*n + 17790 wrt n?\nAnswer: -2*n + 55790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42178242 to the nearest integer?\nAnswer: 6494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 6:04 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7815*u**3 + 62469*u**2 - 124632*u - 816.\nAnswer: -3*(u - 4)**2*(2605*u + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 = -4*m - 0, 2*a = 3*m + 17. Suppose b - f = -2*f + 13, -a*b + 5*f = -97. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-4)\/(-6))\/(6\/9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*a + 6*a - 3*k, 0 = 5*a + 3*k + 16. Let r be a\/4 + 1\/2. Suppose 2*j - v = -5*v + 24, r = -v. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + (0 - 2))*0. Let s = m - -3. Factor 7 - 3*a**5 + 3 - 10 - 12*a**4 - 12*a**s.\nAnswer: -3*a**3*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27245\/6 - 4528. Find the common denominator of 93\/8 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -7*w**4\/2 + 256*w**3\/3 - 36*w**2 - 2001. Factor y(k).\nAnswer: -2*k*(k - 18)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**4 + 12*u**3 + 9*u**2 - 12. Let c(w) = -9*w**4 - 36*w**3 - 28*w**2 - 4*w + 37. Let j(s) = -3*c(s) - 10*q(s). Factor j(d).\nAnswer: -3*(d - 1)*(d + 1)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, x: 2, a: 1}. What is prob of picking 1 a and 2 c?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8 + 1.52. Let m = -1.28 - z. Let c = 2 - 2.1. What is the closest to c in m, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -4 - (6 - 6) - 8) + 2 - -95.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13878240 a multiple of 997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31, 33, 35?\n\"Answer: 2*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3 = -5*a - h, 0 = -3*h + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9620883 is divided by 481040.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-3))\/((-3)\/9). Find the second derivative of -4*l**4 - l + n*l**4 + 4*l wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1200 by 15.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -855*m = -1152*m - 11880 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-510)\/525)\/(-17))\/(((-12)\/(-56))\/(-1))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -38. Let j be ((-3)\/(-6))\/(2 + a\/8). Solve 5*r = -j*x + 33, 6*r - r - 2*x = 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/20 and -79\/166.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-two fifths of a tonne?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + h = 320. Calculate the least common multiple of h and ((-5)\/(-2))\/((-4)\/(-240)*10).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404*m**2 + 16455 - 16455.\nAnswer: 404*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 4)*(48*g - 81*g - 103*g)*(g**2 + 2*g**2 - g**2) in the form x*g**3 + j + n*g**2 + b*g and give x.\nAnswer: 816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-4) + (1 + 1 - -1). Suppose 2*q = -2*q - 3*g + 42, 0 = l*q - 4*g - 37. What is the remainder when 42 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**23*h**(-2\/13))**(2\/61) assuming h is positive.\nAnswer: h**(594\/793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6917*j + 1992. Is f(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2577 smaller than -2577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i*r**2 + 5*i*r - 72803*i + 2105003*r**2 + 2 wrt i?\nAnswer: r**2 + 5*r - 72803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*i**5 + 1211*i**4 + 4872*i.\nAnswer: -240*i**3 + 14532*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32848158 is divided by 16424070.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmi when three letters picked without replacement from fozozzmobmi?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -1\/5*o**5 - 3 + 0*o + 0*o**4 + 0*o**3 + o**2. What is the second derivative of q(c) wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17819 * -0.2.\nAnswer: -3563.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}