{"text":"Question: Three letters picked without replacement from vvvvv. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2.7 - -1.7. Is a > -1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1902*i - 441 = -3789*i + 1896*i for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15252 - 90. Does 57 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 348*l**2 + 8*l = 0 for l.\nAnswer: -2\/87, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 8) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -93 - 2046?\nAnswer: -2139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -2*y**3 + 10*y**2 + 5*y + 4. What is the remainder when v(5) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 370.1958mg in micrograms?\nAnswer: 370195.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24 + 16. What is the units digit of (-29)\/(-4) + 2\/h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 3 + 5 = 4*f, -f - 7 = -2*u. Suppose 0 = 5*j - 20, 5*j - 29 = -f*n - 6. What is the units digit of n\/(-10)*-14*5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*m**2\/17 + 20814*m\/17 + 41492 = 0. What is m?\nAnswer: -10373, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 2*g**3 - 39*g**2 + 5*g - 539. Give s(20).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10040 (base 10) in base 11?\nAnswer: -75a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m + 3. Let g be d(-1). Let k = 12 - g. Calculate the remainder when 18 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13369964.\nAnswer: 2, 3342491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1736468513 to the power of 1\/2, to the nearest integer?\nAnswer: 41671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*3\/48*(-408)\/153?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57874.\nAnswer: 2, 19, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1088600 and -0.42?\nAnswer: 457212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*y + 19 + 16. Suppose -33 = -y*v - 3. Suppose v*f - 22 = 332. What are the prime factors of f?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -785 divided by 3?\nAnswer: -785\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11015744 and 1824?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35 (base 9) to base 13.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, z: 6, l: 2, f: 4, o: 1}. Give prob of sequence lul.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 61*g**5*w + 3662*g**4*w + 2*g*w - 713*g - 149*w - 2 wrt g?\nAnswer: 1220*g**3*w + 43944*g**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 67 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -2*g + 4, 3*g + 10 = 4*w - 7. Determine t so that 9*t**3 - 6*t**w + 22*t**2 + 12*t - 7*t**2 + 15*t**2 = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3938723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -32 - -36. Suppose 4*j + 0 = 16, -m*j + 379 = 3*v. Calculate the highest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 88.77 + -89. Let r = -0.298 + -0.032. Let z = r - g. Put z, 1\/10, -2\/3 in descending order.\nAnswer: 1\/10, z, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0254843056 to 5 dps.\nAnswer: -0.02548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 + 9*o**2 + 7*o + 2. Determine r(-6).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*p = -65*p - 8. Suppose -p*y - 42 = 10*y. Let i(b) = -1. Let l(k) = 2*k + 6. Give y*i(z) - l(z).\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.72 + 3.52. Which is the smallest value?  (a) i  (b) 4\/9  (c) -3  (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 - -497.5.\nAnswer: 497.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 1\/2  (b) 5  (c) -4  (d) 0.01  (e) -3  (f) 6427\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -2*c**2 - 2*c. Let l(k) = 3*k - 1 + 1 + 3*k**2. Let a = -93 + 90. Calculate a*l(x) - 5*s(x).\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 39 - 35. Suppose -39 + 527 = 4*v + 5*a, 3*v + h*a = 367. Let d = 194 - v. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 - 5*h**2 + 3*h + 3. Let a be f(4). Suppose -105*g = -112*g + 35. What are the prime factors of (2*28 - a) + (g - 5)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 - -18.11.\nAnswer: 17.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 53*x - 55*x. What is the second derivative of -18*v**x + 8*v + 14*v - 4*v**3 + 4*v**3 wrt v?\nAnswer: -216*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 + 4*o**2 + o - 2. Let d be r(4). Find the third derivative of -g**d - 2*g**2 + 2*g**2 + 3*g**4 wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10353 (base 9) to base 16.\nAnswer: -1ac4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 5*s. Let x be f(1). Suppose 4*v + x*d - 110 = 0, -4*v + 2*d = -d - 94. Let c = v + -11. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02080940852 rounded to five dps?\nAnswer: -0.02081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 + 10*w + 12. Let v be t(-9). Solve -2*m - 1 = -v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 15*f = 4*f. Let x = 41 - 40.5. Which is the nearest to 0.1?  (a) f  (b) 6\/5  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -4*t**4\/9 - 70*t**3\/9 + 2*t**2\/3 + 304*t - 672 = 0.\nAnswer: -12, 3, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + v + 5, -3*r = -179*v + 175*v + 5. Let o = -2 - -2. Which is the second smallest value?  (a) o  (b) r  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in three tenths of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of 5*u**3 - 1 + 0*u**3 - 10 - 4*u**3. Let o(l) = 2*l**2 + 0*l**2 - 3*l**2. What is o(d(x))?\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4917 = -6*j - 831. What is the remainder when j is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7335 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -87 + 75.6. Let u = v - -11.400562. Round u to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*q - 2 + 2 - q**2 + 0 to l + t*q**2 + r*q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -10*1 + (2 - -2). What is the common denominator of (-3)\/f + (-104)\/14 and 1 + (-63)\/8 - 1?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 27*j**3 - 4*j**2 + 4*j - 4. Let k(p) = p**3 - 3*p. Let h(i) = 51*i**3 - 7*i**2 + 19*i - 7. Let l(a) = h(a) + 4*k(a). Calculate -7*d(g) + 4*l(g).\nAnswer: 31*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = 4*n + 23, 0 = -3*n - 55*t + 52*t - 5 - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 times 24?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -320.4 + 425. Let s = -104 + z. What is s rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 AM and 1:44 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -45 - -57. Calculate the remainder when 82 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8 and 181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20446.\nAnswer: 2, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 152*n**2 - 233 wrt n?\nAnswer: 304*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, d: 2, r: 4, x: 5}. Give prob of picking 1 r and 2 x.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 434949487 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03746335 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 0 - (-25 + 28).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of 1\/60*a**5 + 0*a**4 - 1\/120*a**6 - a + 0*a**3 + 0 + a**2. Let n(k) be the first derivative of c(k). Solve n(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/h**7)\/h)**(-7\/2))**(1\/30) assuming h is positive.\nAnswer: h**(49\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 375 - 381. Put 43, 5, z, 0 in increasing order.\nAnswer: 0, z, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.2 - -0.6. Let d = 6 - 4. What is the second smallest value in d, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhxxhhxxxxxhxxxxx. Give prob of sequence xhxh.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*j + 4*d + 4 = -102*j, 10 = 5*j - 3*d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -2*h**3 - 3*h**2 - h. Let n be f(-3). Let l = 12 + n. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/49175 and -43\/175.\nAnswer: 49175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 9*u - 5 + 6 as g*u + r and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -48 + 92. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h*h**(-3))\/(h*h**(-9)*h))**5)**(-5))**(-1\/27) assuming h is positive.\nAnswer: h**(125\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/1625900 and 53\/15.\nAnswer: 4877700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 - 1. Suppose -2*f - 10 = -7*f - 5*k, -6 = -3*f + 2*k. Let i(a) = -134*a**f - 138*a**2 + 274*a**2. What is i(p(x))?\nAnswer: 2*x**4 + 4*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 3*u + 2)*(-201 - 230 + 366) - 4 + 4 - 3*u + (3 - 4 - 1)*(u - 2*u + 0*u) in the form a*u + z and give a.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (12\/10)\/((-4)\/(-20)). Suppose 0 = 5*f + 3*n + 2*n + 45, 4*f + 31 = -3*n. Which is the second smallest value?  (a) 0.2  (b) q  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38 divided by -5220\nAnswer: 19\/2610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19\/(-7) - (-10 - (-14)\/2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5.359 + 0.629. Let l = -14.57 + q. What is l rounded to 0 dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -607.6 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00058459343 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 25506694?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.4, -6, -11, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 37947745031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.2  (b) -1  (c) 3\/8  (d) 1  (e) 3844  (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from uyy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9931 + -9928.056. Are 2 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87639 is divided by 605.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= -263\/22639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 327 a factor of 632091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 3*n**3 - 72*n**2 + 143*n - 3456. Determine y(24).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 916.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-1))**28\/(x**2\/(x*x**(-2))))\/(x**(9\/7)*x\/x**(-7)*x)**12 assuming x is positive.\nAnswer: x**(-1081\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 26.081 to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21 (base 9) to base 5.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 56687 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 49 - 49.034. Let i = n + -10.466. What is i rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36.76372 days to seconds.\nAnswer: 3176385.408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f + 16. Give z(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -43867.27 to the nearest one thousand.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -4*j. Let o(b) be the second derivative of -b**4\/12 - 13*b**3\/6 - 7*b. Let t(i) = -2*o(i) + 7*s(i). Find the second derivative of t(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 242 and 4764859?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - 0 + 14. Let k be (-2)\/2 + 4 + 0. Suppose 0 = -c + 6*c - 5, 0 = 3*p - k*c - 3. Calculate the highest common factor of f and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001232633 rounded to 7 dps?\nAnswer: 0.0001233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - -7. Let o = t + -3. Let q(p) = 7*p**2 + 3*p - 5. Is q(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 223032391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1322 - 488. Let x = l + -527. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 484*u - 1292 = 224*u + 226*u for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8765223 - 0.048947712.\nAnswer: 8765222.951052288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -25969*a**2 - 29*a - 15594607.\nAnswer: -51938*a - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 33122 and 1.\nAnswer: 33122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.00599 smaller than 0.56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*c - 128 - 333 = -214 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51990?\nAnswer: 2, 3, 5, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jeaaeapapppaaaapj. What is prob of picking 1 j and 3 a?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (41\/82)\/(1\/(-30))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(114)*2)\/(sqrt(726) - (sqrt(726) + (sqrt(726) - -1*sqrt(726) - sqrt(726)))).\nAnswer: 2*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, 8, 2, -4 in increasing order.\nAnswer: -4, 0, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 5*c**2 - 15609520*c + 12182855731520 = 0.\nAnswer: 1560952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 270237 - 192116. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12060?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1173794?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -4*m - 380 + 51, 4*f = 2*m + 422. Suppose 3*b = -0*y - 2*y + f, 2*y - 143 = 5*b. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 - ((51 - 1) + -106 + 86)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 5*v - 17 = 0, -2*l - 22 = v + 3*v. Let h(w) = -3*w**2 - w - 2. Let b(x) = -x**2 - 1. Let j(z) = -5*b(z) + 2*h(z). What is j(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -19*i - 22*i + 39*i + 22 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - -4. Suppose -d + 20 = -5*z, -w = 2*z + 6. Suppose 0 = 4*u + 4*n - 34 - 18, -4*u - 2*n + 62 = d. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - 3*h + 208, -n + 4*h + 96 = 36. What is the highest common factor of 3674 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -236, 11, 5, 4, -1, 0 in descending order.\nAnswer: 11, 5, 4, 3, 0, -1, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 9) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (-69 - -149 - 86)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 10 = -6*o. Solve -o = -f - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11011001000000110100 - -10101001?\nAnswer: 11011001000011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -211*f. Let t(w) = 15*w + 225. Let v(y) = 2*y + 27. Let i(z) = 3*t(z) - 25*v(z). Determine i(h(m)).\nAnswer: 1055*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2\/6)\/((-3)\/(-6)). Determine w, given that -1\/3*w**3 - 1\/3*w + 0 - t*w**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 130*x - 252*x - 6 + 127*x.\nAnswer: 5*x - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2830?\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 PM and 8:31 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1579 at least -1579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/2)\/(k**(-2\/7)\/k*k*k))**(2\/31)*(k\/k**(2\/9))**(-2\/85)*k**(2\/23)\/(k\/k**(-4)) assuming k is positive.\nAnswer: k**(-18881224\/3818115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/558?  (a) 2\/11  (b) 2.4  (c) -4  (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16334 + 24753. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 23 - 17.1. Let h = -6 + g. Let u = -106 - -532\/5. Which is the closest to u?  (a) h  (b) 2\/7  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19 - 55. Let w be (-1)\/(-3) + (-960)\/k. Suppose 0 = -8*g + w + 53. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - -18) + (-8)\/((-20)\/5). Suppose -3*i - 1 = -o. Calculate the lowest common multiple of 86 and i.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16 in -13, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the second derivative of -k**6 - 23*k**5\/10 - 16*k**4\/9 - 4*k**3\/9 - 3*k. Factor r(x).\nAnswer: -2*x*(3*x + 2)**2*(5*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**3 - 114*z**2 + 15*z - 1652. Suppose -2*o + 5*o = n + 72, o - 8 = -5*n. What is the remainder when h(114) is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2.72, -2\/35, -1\/5, -2, 40 in decreasing order.\nAnswer: 40, -2\/35, -1\/5, -2, -2.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4280787 + t + 3*t - 4280813 + 24*t**3 + 8561600 - 4*t.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m**(-6\/11)*m*m**8)**(-1\/19)*((m\/m**(3\/7)*m)\/m)\/m**(-6)*m**(5\/3)\/m*m*m**(-2) assuming m is positive.\nAnswer: m**(24964\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 48611227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2417917*d**5 + 2979365*d?\nAnswer: -48358340*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5514 + -5494. What is the remainder when 118 is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -21*i - 150. Is 15 a factor of v(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 3*m**3 - 7*m**2 + 3*m + 1. Calculate the remainder when 111 is divided by p(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from prnmnpopmpoo. What is prob of picking 1 n, 1 o, and 2 m?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - 34*l - 11 - 1 = -39*l, 0 = -20*l + 80 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(18) + sqrt(288)) + sqrt(18) + (sqrt(216) + (sqrt(216) - sqrt(216)*1))\/sqrt(12))\/(sqrt(12)\/(sqrt(4)\/(sqrt(8)\/sqrt(4) + sqrt(2)))).\nAnswer: 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 + 3*f**2 - f - 1. Calculate g(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/1305 and 169\/2160.\nAnswer: 62640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18 + -17. What is the second derivative of 293*l - 6*l**2 - h - l**2 - 6*l**4 - 225*l wrt l?\nAnswer: -72*l**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 2*s = 43, 5*s + 3 = -x + 4*s. Let t be (6\/70)\/((-21 + 10)\/55). Which is the smallest value?  (a) x  (b) 4  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -62.55 - 1.45. Let a = z + 66. Let l = 0.74 - 0.55. Put 1, a, l, 4 in descending order.\nAnswer: 4, a, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13098 + -13096. Solve 38\/9*a**l - 8\/9 - 28\/9*a**3 + 2\/3*a**4 - 8\/9*a = 0 for a.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2885?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-24)*-12*(-3)\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6.93 - -0.07. Let u = q + -7. Are u and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00008244 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(252)*1)**2.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1697*a**5 - 372*a**5 - 629*a**5 + (-3*a**2 + 0*a**2 + 2*a**2)*(0*a**3 + 3*a**3 - 2*a**3) - 4*a**2 - a**5 + 4*a**2.\nAnswer: 694*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.77, 0, -53, 0.5, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 209690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 3*x + 583 = 153, 2*d - 440 = 2*x. Calculate the remainder when d is divided by 57.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33335 is divided by 16646?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -20  (b) -0.03  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5.33 + -0.07. Let p = -0.4 - q. Let b = p - 4.9992. What is b rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13.95 - -14. Let o = -0.19 + s. Let d = o - -0.14. Which is the biggest value?  (a) -2  (b) d  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 788362 is divided by 19228?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence te when two letters picked without replacement from {t: 1, p: 5, e: 3, l: 1, f: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 34948635938\nAnswer: 34948635939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 20\/67 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4030 < 4030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*a + 35 - a**2 - 35.\nAnswer: -a**2 - 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 279 and 108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 11 = -4*z + 3, 3 = 3*z. What is the remainder when 59 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 192*u - 27 = 191*u - 7, -3*u = q - 0*u - 62 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - -127. Let m = -277 - -404. Suppose -m*b = -k*b + 40. What is the least common multiple of b and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -5*w + 12*w. Let u be (w\/(-5)*-5)\/9. Let g = -9\/148 + 767\/444. Which is the nearest to -1?  (a) u  (b) g  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 - -5.3552934\nAnswer: 4.9552934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 835680157 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 480\/(-22 - -12)*((-1458)\/180 + 8). Factor -4*w**3 - 4\/5*w**4 + 16\/5*w - z*w**2 + 32\/5.\nAnswer: -4*(w - 1)*(w + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 89 or 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2495608 days in minutes?\nAnswer: 359.367552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 113 - 93. Suppose -50 = -10*i + f. Suppose 2*t = -i*t + 1953. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3720 by 1860.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**4*x**(-5\/7)*x*x**(-1\/24)\/(((x**(-11)*x)\/x)\/x) assuming x is positive.\nAnswer: x**(2729\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wxyiwqxqqqyiy. What is prob of sequence qyyw?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -3 + (-1 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1144369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of x**4\/8 - 2*x**2. Let g(b) = 2*b**2 + 5. Let w(o) = -o**2 - 3. Let k(t) = 3*g(t) + 5*w(t). Determine k(s(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -39822090 divided by 5\nAnswer: -7964418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18 - -10. Let x be (3 - 6 - -17) + -2. Let m = -2 + x. Calculate the remainder when k is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -3*b + b**3 - 5*b**3 + 2 + 4*b**2 + 2*b**3. Let c(h) be the first derivative of h**4\/4 - 4*h**3\/3 + h**2\/2 - 2*h + 5. Let y be c(4). Determine q(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 - (-52 + (91 - 61))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 3) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3356\/23 or -147?\nAnswer: -3356\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10596, 10607, 10640, 10707, 10820?\nAnswer: 10991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -3835766 divided by 28\nAnswer: -1917883\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -5*n + 4 - 3*n + 2*n + 4*n. What is the remainder when 47 is divided by l(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -106 + 108. Suppose -p - 2 = f*n, -4 = -5*n - 14. Calculate the remainder when 13 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 32, 126, 206, 266, 300?\n\"Answer: -s**3 - s**2 + 104*s - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -24 - -24. Solve u = -q + 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.029295 - -0.029295. Let m = 2.1 - 2. What is the nearest to m in 6, r, -0.09?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - 1 - (3 - (6 + (-9 - -8))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence klel when four letters picked without replacement from yyeykklklllykkk?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 2:39 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand r + r - 3*r + 14*r - 48*r + 16*r - 2*r + 4*r + 0*r + 4*r - 2*r + 0*r + (-r + r + r)*(1 + 1 + 0) - r - 2*r + 5*r - 2*r + 6*r - 2*r - 5 - 1 - 17 - 2*r.\nAnswer: -11*r - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 1\/3, -2\/5, -1, -140, -5 in descending order.\nAnswer: 16, 1\/3, -2\/5, -1, -5, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2754, 11801, 26888, 48021, 75206?\n\"Answer: s**3 + 3014*s**2 - 2*s - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011 - -100101010001000010?\nAnswer: 100101010000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111110000 - -100100?\nAnswer: 1000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -137*o**2 + 133*o + 2*o**3 + 2 + 50*o**2 + 88*o**2 to the form r*o**3 + n*o + z*o**2 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-4)*0 + 0. Let r be (22\/12)\/(24\/(-32)). Let p = r + 149\/72. Which is smaller: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.542286 millennia in years?\nAnswer: 1542.286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -763 - -656. Let p = q + 124. Sort 5, -7, p.\nAnswer: -7, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - -14. Calculate the common denominator of -111\/22 and 129\/(-12)*(-4)\/h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c + o + 96, 2*o = -5*c - 2*o - 84. Let j be 32\/10 + 2*2\/c. Solve i - 3*d = 4, -4 = -j*i + 3*d + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 2 a, and 1 z when four letters picked without replacement from bbbbabbvavabbbbzbzv.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w**3 + 3208*w**2 - 170084*w + 166880 = 0. Calculate w.\nAnswer: 1, 56, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 188105?\nAnswer: 5, 17, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of d**4 + 4443*d**3 - 496*d**2 + 57*d - 57418 wrt d?\nAnswer: 12*d**2 + 26658*d - 992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -4 - 2 - 2*r**2 - 1 - 1. Let a(y) = -y**2. Determine z(a(n)).\nAnswer: -2*n**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 4*c. Suppose 0 = 27*x + 33 - 276. Let m(g) = -32*g - 21*g - x*g. What is m(y(t))?\nAnswer: -248*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -48.1*-24.\nAnswer: 1154.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 34, -3, -1\/2 in decreasing order.\nAnswer: 34, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 3*a**5 + 204*a**4 + 4359*a**3 + 23982*a**2 - 105612*a + 77064 = 0?\nAnswer: -26, -19, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 6 + 3)*(6*i + 3*i - 4*i).\nAnswer: -25*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:17 PM and 6:02 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -10*b**4 + 6*b**3 + 7*b**2 + 7*b - 7. Let q(i) = 5*i**4 - 3*i**3 - 4*i**2 - 4*i + 4. Let x(r) = -4*k(r) - 7*q(r). What is g in x(g) = 0?\nAnswer: 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1485703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.5075061 to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -6, 40818, -2, 3\/7, -4?\nAnswer: 40818","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 480*z**2 + 13 - 17 + 14 - 17.\nAnswer: 480*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1589 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 12:50 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 6, 9, 8, 3, -6, -19?\n\"Answer: -2*n**2 + 9*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o - s + 195, -8*s = 15*o - 18*o + 245. Solve 0 = -o*c + 100*c - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -45100 - -91208. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = -3*g - 9, 32*g - 33*g - 3 = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15*h - 81430*h**4 + 0 - 3 + 82026*h**4 wrt h.\nAnswer: 7152*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the first derivative of -20*h**3\/3 - 3*h**2\/2 + 121*h - 111. Let c(y) be the first derivative of x(y). Let i(g) = g**2. What is i(c(a))?\nAnswer: 1600*a**2 + 240*a + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 56\/3 + -18. Let w = 10398 + -10401. What is the closest to -0.5 in w, -3\/8, s?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2\/9 - 5319980*s\/9 - 5319986\/3.\nAnswer: 2*(s - 2659993)*(s + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (216\/270)\/((-8)\/(-6))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -f**3 + 76*f**2 - 1076*f + 1856 = 0.\nAnswer: 2, 16, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 - 6*l)*(l + 5*l - 3*l).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 9484638 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -10*d - 2*d + 20*d - 7*d. Let z(a) = -172*a. Determine j(z(o)).\nAnswer: -172*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -5620 divided by 1124\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.092 - 1. Let f = 0 + -0.1. Let r = f + z. Round r to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -6*t - 2. Let y be f(-5). Suppose -3*v = v + n - y, -14 = -2*v + 2*n. Suppose -2*h + v = 1. Solve -2*w + h + 5 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -50 * 1.2106\nAnswer: -60.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 340127090 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 69012 and 3408.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -15, -70, -209, -474, -907, -1550, -2445, -3634?\n\"Answer: -7*p**3 - 6*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 41 - 42. Let k be 16 + (-5)\/(-1) + m + 1. Is 23 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m**2\/19 + 5261008*m\/19 = 0 for m.\nAnswer: -2630504, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 95777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - -52. Suppose -h - h + 14 = -2*m, -3*m + 5*h = 31. Let f = m - -10. What is the remainder when t is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12)*2*5)\/(sqrt(4) + (sqrt(12)\/(3*sqrt(3)) + sqrt(4) - sqrt(4))).\nAnswer: 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 281 = 388. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1.18 or -14\/9?\nAnswer: -1.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (11 - 1596\/248) + (-18)\/4\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1169939 < -1169940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, z: 3, m: 1}. Give prob of picking 2 z, 1 m, and 1 n.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) - ((-4 + sqrt(147))**2 - sqrt(3))) + sqrt(648)\/sqrt(6).\nAnswer: -163 + 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 3:10 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.06945423391 to 4 dps.\nAnswer: -0.0695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (42\/15 + -2)*-5. Let j be (-186)\/108 - 6\/v. Is -1 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93 = 4*a - 121. Suppose a*i = 5 + 30. Solve 5*m - 2*p = -p, -5*m = -2*p + i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-9)\/(63\/(-28)) + 24. Solve -k + m = -6*k + 4*j, -k + 5*j = 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5254000 to the nearest one hundred thousand.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -36, -1, 2, 11, -3 in descending order.\nAnswer: 11, 2, -1, -2, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 + 1)*(0 - 2 + 3)*(1 + 3*q + 0 - 14*q) + 0*q - 6*q + 4*q + (q - q + q)*(3 - 2 + 0).\nAnswer: -23*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1122112210202 (base 3) to base 8\nAnswer: 3260455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16973 is divided by 246.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 261, 74, -161, -468, -871?\n\"Answer: -4*o**3 - 159*o + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 130437211*k**5 + 8187*k**2 - 3071 wrt k?\nAnswer: 7826232660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*c**2 - 6*c**2 + c**2 + (13 - 2 + 10)*(0*c**2 - 10*c**2 + 18*c**2).\nAnswer: 167*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/(-2)*(-7 + (-49)\/(-14)). Suppose 10*a - k*a = -608. What is the remainder when a is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -38*b**4 - 1976078*b**3 + 19*b**2 - 3122 wrt b.\nAnswer: -912*b - 11856468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 17\/4 of a week?\nAnswer: 42840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -574*z - 53*z + 18*z - 699*z. Let x(p) = p**2. Give x(n(b)).\nAnswer: 1710864*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 83033709 to the power of 1\/2, to the nearest integer?\nAnswer: 9112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 + 70*k**2 - 51*k - 1225. What is y(69)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -537401, -537410, -537419, -537428, -537437, -537446?\nAnswer: -537455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 PM and 8:14 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w + 217 = 272. Which is the biggest value?  (a) -4  (b) w  (c) 13\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**4 - r**4 + r**4 + (4*r - 4*r + r)*(r**3 + 4*r**3 - 3*r**3) - r**4 + r - r)*(-612142*r + 3162 + 612143*r + 1042).\nAnswer: 2*r**5 + 8408*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 times -19.2?\nAnswer: -518.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = -3*l + 5*w, -2*w = -0*l + l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 376\/940*(-1435)\/(-2091)*2\/(-7).\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/632 and 79\/22.\nAnswer: 6952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oi when two letters picked without replacement from {o: 1, x: 3, i: 1, r: 5, f: 1, z: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -27.1 + 23. Let t = l - -4. Let u = 79.7 - 80.7. Which is the closest to t?  (a) 0.3  (b) u  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/2, 0.37, -0.3, -261, 0.4?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1668 and 55139493?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8)\/(-32) + (-100)\/144. Sort 2, -3, -3\/4, -37, h.\nAnswer: -37, -3, -3\/4, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 30701629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -2.4, -4\/3, 0.28255 in decreasing order.\nAnswer: 9, 0.28255, -4\/3, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -f09 - 26f?\nAnswer: -1178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2664 and 131065137.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-2)*-2*0\/(51\/(3468\/(-340))). Factor u - 190*k**2 - 10*k**4 - 361\/4*k - 1\/4*k**5 - 219\/2*k**3.\nAnswer: -k*(k + 1)**2*(k + 19)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 188087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -19896369 divided by 1933?\nAnswer: -10293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 2*w = -8832, -10*w = 3*n - 12*w - 6623. What are the prime factors of n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + -3. Suppose 44*h - 40*h = -32. Let n = h - -31\/4. Sort p, -7, n, -0.1.\nAnswer: -7, p, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 9 = -75. Let j(m) = -49*m + 42. Let c(v) = -v + 1. Let i(p) = w*c(p) - j(p). Let k(r) = -2*r**2. Determine i(k(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/3)\/((-9)\/((-81)\/(-2))). Find the second derivative of 3*n**5 - 2*n**2 - l*n + 2*n**2 - 47*n**5 wrt n.\nAnswer: -880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34 and 722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 114 + -110. Suppose -f*p + 4*b + 64 = 0, -2*p - 2*b - 17 = -3*p. Suppose -12 = 9*w - p*w. Solve -3*y - 9 = j, w*y - y = 2*j + 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**2 + 8*w + 17. Let d be u(-5). Let l(n) = 2*n**2 - 2*n**2 + 4*n**2 - 6*n**d. Let k(m) = 4379 - 4379 + 14*m. Calculate k(l(q)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 174, -2, 4, 5, -4 in descending order.\nAnswer: 174, 5, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3993 + 3998.36. Which is greater: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 50, 23, -138, -4 in increasing order.\nAnswer: -138, -4, 23, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -352 = -53*m + 125 + 1113 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/36 - (96294\/54)\/(-11). What is the highest common divisor of 8 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**2 + i + 31. Let y be o(0). Suppose 4*r - y = -11. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*b + 3*b + 3*b)*(75 - 359*b**3 + 170*b**3 + 186*b**3) as j + m*b**3 + o*b**4 + v*b + t*b**2 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 29\/6 of a hour?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**3 + 78*v**2 - 1634*v + 119877. Give f(77).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18\/5 + 0 + (-9)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -1. Let n(r) = -6*r**2 + 24. Give -n(x) - 24*s(x).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 2 + 1)*(-1 + 0 - 1) + 224 + 409 - 176)*(0*n - 4*n + 3*n).\nAnswer: -455*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = -5*k - 28, -28*k + 23*k - 8 = 3*o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2431 and 2288?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1810003 to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, o: 1, l: 7, d: 2, a: 1, x: 1}. Give prob of sequence zlo.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1020972359?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 5\/4, -0.01, 0.414, -2?\nAnswer: 0.414","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -958\/5 + 192. Put g, 17\/3, -1\/3 in ascending order.\nAnswer: -1\/3, g, 17\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 20926364?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 46\/13 + 4\/13*v**2 + 50\/13*v.\nAnswer: 2*(v + 1)*(2*v + 23)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -28 and -26.\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 6:38 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 48*a**3 - 2*a**2 + 2*a - 1. Let u be w(1). Let l = -65 + u. Let h(f) = -f**2 - 25*f - 12. Is h(l) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1500729931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 7*f = 21. Let x = -13 - -21. What is the remainder when x is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rcrpruacuaaurrcr. Give prob of sequence pa.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 take away 962419832364?\nAnswer: -962419832364.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2 + 60*i - 116.\nAnswer: -(i - 58)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/3002 and -32\/13450461.\nAnswer: 26900922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1246781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 3*i + 20. Calculate the remainder when 8 is divided by i + (-24)\/(0 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 6305385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.617076 litres in millilitres?\nAnswer: 1617.076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -12*f. Calculate j(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 626 and 13788902.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.03 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -h**3 - 348*h + 379 with respect to h.\nAnswer: -3*h**2 - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v - 5*v. Suppose v*c - 3 = 3*c, -3*w + 126 = 3*c. Suppose -5*z + w + 7 = 0. Solve 4*t + z = -6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*(b*b**(-4))\/b*b*b*b**(-1\/11))**(-46)\/(((b\/((b\/b**(-3)*b*b)\/b))\/b)\/b**1*b**(-2\/11)*b*b**(-6)*b) assuming b is positive.\nAnswer: b**(664\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(-2)\/h)**17)**(-34))**(-1\/55) assuming h is positive.\nAnswer: h**(-1734\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 499832540 to the nearest one million.\nAnswer: 500000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -37\/120 - -9\/40. Is -0.2 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7126*l - 3640*l + 602 - 304 - 296 as f*l + c and give f.\nAnswer: -10766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 2\/5  (b) -2\/7  (c) 1\/5  (d) 2  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -34\/33 and -5\/5106.\nAnswer: 56166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 4*h - 2 = 0. Suppose -m = l - 4*l + 24, 75 = -4*m + 5*l. What is the third biggest value in h, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2760809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b\/(b**(-2\/25)\/b)))\/b*b**(3\/5))\/(b**3*b**(-1\/9)\/b))\/((b**(-1))**(-41))**(-29) assuming b is positive.\nAnswer: b**(266767\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*k - 4*o + 5, -3*o + 27 = 3*k. Suppose 3*i + 45 = -9*a + 4*a, -37 = a - k*i. Let l be (1\/(-9))\/(4\/a). Is 0 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, n: 8}. What is prob of sequence nww?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the third derivative of -q**9\/20160 + q**6\/180 - 7*q**5\/30 - 8*q**2. Let g(k) be the third derivative of n(k). What is the derivative of g(p) wrt p?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + -969611?\nAnswer: -969607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1944*o**3 - 19*o**2 - 71*o + 2.\nAnswer: 11664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1186 - -1772. Solve -592*z + v*z = 48 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f - f - 2*f)*(-2 + 0 + 3) + (-f + 26 - 26)*(1 - 1 + 7).\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/((-9)\/6)*-5. Let c(k) = u*k + k**2 - 10*k. Determine c(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 225\/(-6)*4)*(-21 + (-903)\/(-42)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4150 or 22?\nAnswer: -4150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**3)**(4\/9)*x**(-5)*x\/(x\/(x*x\/x**1)) assuming x is positive.\nAnswer: x**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i\/(i\/(((i*i\/(i*(i*i*i**(-10)\/i*i)\/i)*i)\/i*i)\/i))*i)\/(i\/i**2))\/(i**(-2\/9)*i)**2 assuming i is positive.\nAnswer: i**(103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0\/(-1))\/(-5 - -3). Suppose 3*y + 6 = 2*a + 5*y, n = 3*a + 4*y - 14. Let f(o) = -o**2 + 3. What is f(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 0*q**6 + 3*q**2 + 3*q**6 + 3*q**2 + q**6 wrt q?\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8628*b + 276531 = -336057 for b.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 293 + -2?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 226122 - (-6 - 744\/(-24)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + p - 1 = -a, -3*p = 4*a - 21. Let t(c) = -6*c + 10. Let h be t(-5). Suppose -l = -a*l + h. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 6*n + 3 + 6 = 20, -p - 4*n + 11 = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (58 - 4) + (0\/(-2) - 2). Let x = -36 + s. Calculate the greatest common factor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 147cb66 (base 15) to base 9\nAnswer: 30805766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.033 + 3.967. Let a = 0.25 + -0.3. Let c = a + 0.25. What is the closest to -3 in c, o, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.1  (b) -3\/7  (c) -2  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -189 = -2*m + 5*i, -208 = -4*m - i + 159. Calculate the remainder when m is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from shswcscwhsh. Give prob of sequence hw.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + -4. Let v(u) = 12*u - 51. Let p be v(4). Let b(g) = 9*g + 24. Let h be b(p). Put h, 5, s in decreasing order.\nAnswer: 5, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 65554 and 6840.\nAnswer: 224194680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + -6 + 16 + (-6 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*m - 8799 = 7*m - 5*k, 0 = -2*m + 2*k + 8834. Is m a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.08037335 to 3 decimal places.\nAnswer: 7.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-3)\/9)\/((-132)\/18 + 6). Find b, given that -o*b + 0 - 1\/4*b**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:39 AM and 5:20 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + d - 1021 = 0, 5*w - 2*w - 4*d - 608 = 0. What is the greatest common divisor of w and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 3*x - 3. Suppose 9*n - 4*n - 92 = 4*g, -x*n - g = -45. Suppose 12*y - n = 8*y. Solve 0 = z - y*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 142687 - -4?\nAnswer: 142691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhhbhhhhhhhhhhqhhh. What is prob of picking 1 b, 1 q, and 2 h?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2638*k - 342 = 2632*k. What is the remainder when 281 - 1 - 21\/(-7) is divided by k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 - -1)\/(-5) + (-357)\/(-935). Factor -4\/11 + 2\/11*v**2 + k*v.\nAnswer: 2*(v - 1)*(v + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -2397*g - 3463. Give k(-2).\nAnswer: 1331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times -0.024?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*z**2 - 12*z**2 - 10*z**2 in the form t*z + q + w*z**2 and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 27*c - 6 - 3 - 28*c. Let g(n) = 2*n + 16. Let p(o) = -3*g(o) - 7*h(o). Calculate p(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 30*l**2 + 5*l - 3. Let b(h) = -61*h**2 - 12*h + 7. Calculate 2*b(t) + 5*k(t).\nAnswer: 28*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 491619 and 666?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -19.802895758 minus 2?\nAnswer: -21.802895758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-132)\/(-8))\/11)\/(0 - -8 - 4).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -104854.137 to the nearest one thousand.\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 + -7. Suppose c + c = p. Suppose r + 12 = c*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 564914730 a multiple of 2108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/11)\/((12\/528*-3)\/(6\/8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 2*v = -5, -5*v + 0 = -5*w + 35. Let l be (-45)\/(-240)*2\/w. Which is the biggest value?  (a) l  (b) -3\/4  (c) 2  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 208 + -207. What is the second biggest value in 5, -4, l, -1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4630588374?\nAnswer: 2, 3, 683, 1129963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the third derivative of -1\/3*s**3 + 8*s**2 + 0*s + 0 - 1\/12*s**4. Suppose 4*x + 4*p = -0*p + 32, -4*x - 13 = -5*p. Calculate f(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of 2\/35*c**7 - c**2 + 0*c**4 + 0 + 7\/60*c**5 + 0*c**6 + 0*c + 0*c**3. Find the third derivative of j(v) wrt v.\nAnswer: 288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15.71 - 0.29. Let p = o + 15.9999993. Round p to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 113\/46 + -31983\/230. Let f = x + 137. Do -1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 1052117\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3859666.\nAnswer: 2, 83, 23251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8746246 or -8746259?\nAnswer: -8746246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - 1926b?\nAnswer: -19273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(0 + (sqrt(1872) + (sqrt(1872)*-2*4 - sqrt(1872)) + sqrt(1872) + -5)*5)**2 + -5.\nAnswer: 126000*sqrt(13) + 13762945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 - -10*400\/(-125)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2 + 353*m - 28993. Determine b(223).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 - -10. Let b be (-11)\/(-33) + h\/3. Suppose -b*k = -0*k + 20. Which is smaller: k or -9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-153)\/6)\/((-4)\/(-16) - (-2522)\/(-9776)) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14 + 59. Let k be ((-16)\/10)\/((-18)\/f). Suppose n + 3 = k. Is 3 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + 5. Let r = -95036\/79 - -1203. Is r < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91948422369 - 91948422369 - 41*n.\nAnswer: -41*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -31, 21, 131, 311, 573, 929?\n\"Answer: 2*f**3 + 17*f**2 - 13*f - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17090613 and 11097.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 + 6*x**2 - 4*x. Let r be f(5). Let q = 1 + r. What is the lowest common multiple of q and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z = 11*z - 48. What is the least common multiple of (-5)\/(57\/z + -5) and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 - -15. Let l(y) = 9*y**3 + 2*y**2 + 7*y - 8. Let r be l(1). Solve 0 = s - 2*m - r, 0*s - s - 8 = u*m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1018.0001031 + 1018. Round u to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 140 divide 124180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 AM and 2:30 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*c + 10 = -855 + 49 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 + 6*a**2 + 2*a + 1. What is v(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 3*t + 351 = 0, 4*t = -4*i + 9*t + 699. Which is bigger: i or 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -112331123112 (base 4) in base 5?\nAnswer: -3020100044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 338\/8 + 1\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 361370?\nAnswer: 2, 5, 36137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a + 2*a + 6*a)*(2*a + 14*a + 3*a) + 0*a**2 - 5*a**2 + 4*a**2.\nAnswer: 113*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 230 = -5*a, -2*r - 3*a = 3*r - 230. Suppose 3*o + 25 - r = 0. Suppose j + o = 2*k - 0*j, j = 3. What is the remainder when 8 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110202 (base 3) in base 7?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3 from 8.051.\nAnswer: 5.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4328 is divided by 190.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 45 and 21.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 51*c**3 + 53*c**2 - 52*c**2 + 47*c**3 + (2*c**3 - 3*c**2 + 3*c**2)*(-3 + 5 + 0) to the form g*c + y*c**2 + m*c**3 + n and give m.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 15) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9716007949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 4 = 2*q + 5*l, -4*q + l = -15. Solve -2*v = t + q, 36 = t + 4*t - 4*v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -24, -20, 0, -5 in ascending order.\nAnswer: -24, -20, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 15\/12 + (-3)\/12. Solve -j = 3*s - 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**2 - 7*y + 2. Let b be q(5). Let g(z) = 4 + 2*z - 1 + 0*z**3 + 4*z - 7*z**2 - z**3. Does 5 divide g(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11?  (a) -0.82  (b) -0.37  (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x**3 - 41672*x**2 - 5309440*x - 169639936 = 0. Calculate x.\nAnswer: -20708, -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 7, h: 3}. Give prob of sequence ehhh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.02 in 0.1, -37.8, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -813 - -718 - (3 + (2 - -1)).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 212704 and 7072?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 85d11 - -64?\nAnswer: 85d75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57 - 421 = -21*i - 5*i for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -10, -42, -102, -196, -330, -510, -742, -1032?\n\"Answer: -v**3 - 8*v**2 - v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 3*i - 549 - 150, -3*f + i + 715 = 0. Let q = f + -161. Suppose 0 = -2*x + 4*u - 8, 0*x - 4*x - 4*u = q. Which is smaller: x or -51\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 - -f2967?\nAnswer: f2964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25, 68, 137, 232, 353, 500?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 98.16 plus -0.36435132?\nAnswer: 97.79564868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1259 is divided by 140.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h - 2*h - 16. Let b = h + 13. Suppose 3*y - b = 7. What is the least common multiple of y and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 22508 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(28 - 26))\/(1\/3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 747007 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38038.6ml to litres.\nAnswer: 38.0386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 0.1, -5, 2\/43, -0.12, -6?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**2 - 4*r**2 + 3*r**2)*(0*r - 2*r + r) + 4 - 4 - r**3 + 122248 - 122248 - 407*r**3.\nAnswer: -406*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 6*(-30)\/54*100\/400\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 145 is divided by 51.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 0  (b) -0.19  (c) -2\/253  (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 63 - 41. What is the smallest common multiple of c and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2542977989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.1 + -0.4. Let v = -1 - w. Let r = -0.02 - -2.02. What is the biggest value in v, r, 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the second derivative of f**3\/6 - 3*f**2 + 28*f. Suppose 0 = 5*p - 2*p - 12. Suppose -2*v = -p*l - v, -3*l = -3*v. Determine z(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 33 and 7398?\nAnswer: 81378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g + 2*n + 9 = 7*g, 4*g + 4*n + 24 = 0. Let v be (0*1\/(-2))\/(-2). Put 16, g, v in ascending order.\nAnswer: g, v, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of k**2 - 7216*k + 12583?\nAnswer: 2*k - 7216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in 0.7, -3, -1\/4, 3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of (-1 + 28)*60\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/w**(-5\/6))\/(w*w*w**(1\/2)))\/(w\/w**(1\/3))**(1\/3))**29 assuming w is positive.\nAnswer: w**(-232\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (1*sqrt(7) + 3 - sqrt(14)\/sqrt(18)) + 4 + (sqrt(3388) - (sqrt(3388) - (sqrt(3388) - -2*sqrt(3388))))\/((1*sqrt(40))\/sqrt(10)).\nAnswer: 12 + 101*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (88352\/4389990)\/(8\/5).\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-13)\/(15210\/(-40))*(-1083)\/(-722))\/(4\/3).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -332, -292, -256, -230, -220, -232?\n\"Answer: -a**3 + 4*a**2 + 35*a - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 535 - 240. List the prime factors of b.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 344 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*n = 29*n + 135. Solve -n*o - 20 - 70 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25 + -36. Let k = -3 - p. Let c(o) = o**3 + 5*o**2 + 3*o - 2. Let t be c(-4). Solve t*z + 2 = -k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -3*h**2. Let d(g) = -5*g**2 + 8*g**2 + 10*g**2. What is d(a(s))?\nAnswer: 117*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/(-4) - 26\/((-130)\/(-45))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3071300 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqeqqkqqkkqqeqqkeek. What is prob of picking 1 q and 1 k?\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14769 and 21278847?\nAnswer: 191509623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c + 6. Determine k(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*q = 5*p + 88, 5*q + 556*p = 553*p - 71 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09114 - 74?\nAnswer: -73.90886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 17. Find the third derivative of -67*v**k + 94*v**4 - 3*v**2 - 5*v**2 wrt v.\nAnswer: 648*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -44444935.\nAnswer: 1\/44444935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 31654870523920.000019 - 31654801920194. Let s = -68603761 + u. Let a = s - -35. What is a rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (38 + 57 + 79 + 7)*(v - v - 2*v**3).\nAnswer: -362*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-10 - (9 - 14)) - (-48 - -2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(-1)*15\/(-25). Let z(p) = 3*p + 4. Let k be z(-3). Let h = -1 + 0. What is the closest to 1\/3 in g, k, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14057615591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**4\/9 - 8*u**3\/9 + 2*u**2\/3.\nAnswer: 2*u**2*(u - 3)*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1101010010010 - -10000?\nAnswer: -1101010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**3 - 12*v**2 + 24*v - 23. What is the smallest common multiple of 12 and z(-14)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*s**4 + 4*s**5 + 2*s**4 - 2*s**5 + (-6 + 0 + 1)*(2*s**5 + 4*s**5 + 0*s**5).\nAnswer: -28*s**5 - 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from bbttbbtttttbtttbtt?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 383*w = -i + 379*w + 73326, i + 5*w = 73328. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0\/3*-1)\/(-1). Suppose -14 = -2*q - g. What is the highest common divisor of 35 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.84 + 1. Let f = 0.17 + 0.61. Let d = f - c. What is d rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -350 + 4*f + 504 + 276 in the form s*f + n and give n.\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2989160.\nAnswer: 2, 5, 74729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = -4*p - 18 + 28, 3*x - 12 = 6*p for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:29 PM and 4:14 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = s, -3*s + 487 = -4*k + 471 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -540*g + 17485 = 29905 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.16 + -1.16. Suppose m = 2*s - 22, 9 = 3*s - 6. Let v be (1\/(-28))\/(m\/(-16)). Which is bigger: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1850869 is divided by 2014.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -d**2\/4 + 191185*d\/4 - 286773\/2 = 0.\nAnswer: 3, 191182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1284*d**3 - 702*d + 5883130.\nAnswer: -3852*d**2 - 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26, -5, 5 in descending order.\nAnswer: 26, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and 13091050.\nAnswer: 2618210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 781 - 759. Suppose 299 = d*k + k. Which is greater: k or 58\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -5320325, -5320297, -5320269?\n\"Answer: 28*c - 5320353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.1 + -3. Let w be (-748)\/9350 + (-1896)\/50. Sort -0.2, x, w, -0.1 in decreasing order.\nAnswer: x, -0.1, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from uggugzuugugggggug.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -3*(sqrt(11) + 1 + -3).\nAnswer: -3*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -2*o - 2*w, 2*w = -2*o + o + 26. Suppose -5*n = -3*h - 312, 2*n - o = 4*h + 102. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of -3*q**4\/8 - 3*q**3\/2 + 408. Factor x(k).\nAnswer: -3*k**2*(k + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -284407*f**6 + 128*f**3 - 815579415*f**2 wrt f?\nAnswer: -34128840*f**3 + 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22 + 23. Solve 3*t + j = o, o + 1 = 2*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 16 + -81?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*c = -161 - 102 + 13. What is the nearest to 1 in -3\/2, -0.3, 1\/5, c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1160)\/(-2610))\/((-3)\/(27\/(-2))))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 149 - 85. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 0*f = -f - 17*s + 57, -15*f = 76*f - 3*s + 191 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14697\/280 - -421\/8. Let y = p + 3\/20. Solve 128\/7 + y*n**3 + 24\/7*n**2 + 96\/7*n = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81882.\nAnswer: 2, 3, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 20 = 0, -2*i + 7 = -2*z - 3*i. Let v = z + 8. Is (v - 0) + 1 + 9 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.268 less than -625.058?\nAnswer: -626.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 7) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -150*d - 153*d - 158*d - 125*d + 586*d - 38*d**2.\nAnswer: -38*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 904 is divided by 178?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6669 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/((z*z*z**(2\/5))\/z))**(-1\/2))**(-14\/9) assuming z is positive.\nAnswer: z**(-14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0012131 rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.34 + -0.04. Let y = m - -3.7. Sort -1\/5, 3, y.\nAnswer: -1\/5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/((85\/(-30) + 3)*3). Suppose -g*q = n - 3*n + 18, 0 = -5*q - 15. Solve -i + 2 = -3*y, n*i = 5*i + 5*y + 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8106)\/(-7527)*(12 + -15)\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of -g**6\/180 + 13*g**5\/120 + 19*g**4\/72 - 73*g**3\/36 + 7*g**2\/2 + 175*g - 2. Factor f(i).\nAnswer: -(i - 14)*(i - 1)**2*(i + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11145149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 + 121320122101?\nAnswer: 121320122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 60 and 4250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of -g**5\/120 + 13*g**4\/8 - 90*g**3 - 900*g**2 - 1320*g. Factor p(t).\nAnswer: -(t - 60)**2*(t + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 AM and 5:18 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - f - 6 = -2*f, 0 = -2*h + 5*f + 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 401150584?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(57)\/sqrt(3) + sqrt(19)))**2 + 0.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 24.5, 0.1, -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 + (-28)\/6)*(-15)\/20. Solve -h*y + 4*y + l = -4, -4*y - 8 = 3*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2512 and 5940252?\nAnswer: 23761008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5253406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b + f = -2*f - 34, 3*f = b - 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.03 in 0.4, -0.054, 2?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -9 - 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 18\/14 + 16\/(-56). Let i be (-2)\/8 - (-6)\/24. Suppose -3*v + 4 - b = i. Solve 0 = -p + 2*p - v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes after 6:45 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.33, -1, -3 in descending order.\nAnswer: -0.33, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 186550, -5, 4 in descending order.\nAnswer: 186550, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 7 + 1. Suppose v = 3*l - 66, v + 90 = 5*l + r*v. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1132*w - 46980 = -434*w for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.2  (b) -2  (c) -21.28  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -70*-33910.\nAnswer: 2373700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/5  (b) 3  (c) 2\/7  (d) -3\/5  (e) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ltfl when four letters picked without replacement from {t: 1, f: 13, e: 3, l: 2}.\nAnswer: 13\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(28) - sqrt(35)\/(sqrt(55)\/sqrt(11)) - (0 + (1 + sqrt(7) + 0 - sqrt(175)*-2)))**2.\nAnswer: 4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 2*g**2 - 125*g + 581. Let h be k(5). Let p(o) = o**2 - 5*o - 18. What is p(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 + a**2 + 1. Let t(y) = -114*y**3 - y + 3. Let c(d) = p(d) - t(d). Is c(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:42 PM and 2:11 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87336114 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -40 - -55. Suppose -4*l - 2*v + 6 = 0, 0*l - 5*v = -3*l - f. Suppose l = -11*q - 3934 + 30015. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**3 + 43*j**2 - 33*j - 373. Let p be m(42). Solve p*v - 20 = 0, -2*d = 3*d + 5*v - 40 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((-5*(sqrt(77) - (-2*sqrt(77) - sqrt(77))))\/(2*sqrt(700)) + -2*(-2 + sqrt(11) + (sqrt(22)\/sqrt(2) - sqrt(11)) + sqrt(11)) + -3)**2 + -2.\nAnswer: -10*sqrt(11) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -75, -4, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 8208.085ml?\nAnswer: 8.208085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6050373 and 261021.\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**4 + m**3 + 2*m**2 + 2*m - 3. Let s(g) = -2*g**2 - 2*g + 2. Let n(r) = -2*i(r) - 3*s(r). Factor n(z).\nAnswer: -2*z*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 865 divide 3089528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -5 + ((sqrt(275) - (sqrt(275) - (sqrt(275) - (1*sqrt(275) + sqrt(275) + 3)))) + -5 - (sqrt(275)*-1 + -5 + 1))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i*i**(-8)*i))\/i**(-5\/3)*i**8\/i**(-4))**0 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.873 - 0.872393. What is c rounded to five dps?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.059 or -1713351?\nAnswer: -1713351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + k = 3*a - 22, 5*k = 2*a + 17. Suppose -4*z = -4*p + 24, 2*z + p - a = -1. What is the units digit of (2\/6)\/(z\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -54 + 94. What is the lowest common multiple of ((-6)\/(-10))\/(8\/f) and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of -229*u**7\/42 - 377*u**3\/3 + 17*u - 3. Find the second derivative of g(v) wrt v.\nAnswer: -4580*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31919.2m in millimeters?\nAnswer: 31919200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1, -1707, -2500 in ascending order.\nAnswer: -2500, -1707, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = -0*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-5450)\/109*(-2)\/5)\/(-2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 PM and 11:14 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*v - 7*v - 3*v as n + z*v and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3193\/1358 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the third derivative of 0 + 1\/15*q**5 - 1\/120*q**6 + 0*q - 1\/3*q**3 - 1\/8*q**4 - 6*q**2. Determine c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 24\/5 + (-11)\/(-55). Suppose -10*k + 46*k = -108. Let w be (1\/(-5)*k)\/(1\/l). Solve -2*m = 0, -2*p - w*m + 10 = -4*m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6 - (-2 - -1)*54\/(-6). What is the closest to 0.08 in l, -3\/10, 7?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -662*k - 2*k**3 - 51*k**2 - 2 + 1332*k - 674*k in the form r + h*k + j*k**3 + c*k**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8033 = -117*w - 27*w - 1121. Solve -w = 13*s + 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2686795193?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 7*o + 9. Suppose 178*j - 172*j = -48. What is q(j)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0  (b) -2\/11  (c) 0.2  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 11 and 0.634 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -9793 minus -143247?\nAnswer: 133454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4451 - -4453. Let u(d) = d**3 - d**2 - 3*d + 5. Calculate the lowest common multiple of w and u(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11 and 17837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -15907*y + 222. Is t(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8476737 divided by 2825579\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of p**3*u + 8*p**3*y**3 - p**3*y**2 + 122*p**2*u*y**3 - 37*p**2*u*y**2 - 2*y**2 wrt y.\nAnswer: 48*p**3 + 732*p**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oo when two letters picked without replacement from tuuuuoououutouuo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9437011.\nAnswer: 41, 337, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 13323230220 (base 4) in base 10?\nAnswer: 2079528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107740 is divided by 26234?\nAnswer: 2804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 97096 = 2*n - 5*n, 0 = -5*h - 4*n + 242740. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 + 11*g - 10. Let b be m(9). Let y be (2\/b)\/((-5)\/(-10)). Suppose -y + 1\/4*x**2 - 1\/4*x = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 5 = -4*w - 43, 21 = o - 3*w. Let g(r) = -r + 8. What is the lowest common multiple of o*(-5)\/6*-4 and g(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*p + 5*i = 15*p - 18, -5*p - 3*i = 26. Put 3, -24, p, 4 in descending order.\nAnswer: 4, 3, p, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -48\/247 and -25\/57.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 173084 is divided by 671.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 3 = -7. What is the units digit of 27 - (-1 + 0 + n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -247*p - 96 = -239*p. What are the prime factors of 1194*((-14)\/p + 68\/(-102))?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -189.\nAnswer: 4\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 m when three letters picked without replacement from {r: 1, y: 1, x: 2, j: 2, m: 1, l: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -5190 divided by -2?\nAnswer: 2595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -138340 by -66.\nAnswer: 69170\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 6*h. Let f(s) = 134*s - 45*s - 47*s - 41*s. What is -3*f(b) + o(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5880 = -717*f + 570*f for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*a**2 + 0*a**2 + 34*a**3 - 27*a**3 - 3.\nAnswer: 7*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the third derivative of -3*g**7\/490 - g**6\/40 - g**5\/28 - g**4\/56 - 14*g**2 + 2*g. Let u(b) = 0. Calculate b.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**3 - 15985*c**2 + 10071455*c + 4532233365.\nAnswer: 5*(c - 1747)**2*(c + 297)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**2 + 14*y - 36. Let b be d(4). Suppose -1364 = b*i - 3732. What are the prime factors of i?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 130139910*t**3 + 127305268*t?\nAnswer: 780839460*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3.2?  (a) 349  (b) -2\/13  (c) -5  (d) -3\/2  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 18*z = 0. Let s = -3 + 6. Let l be (s\/2)\/(18\/24). Solve z*p = -l*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 2 - 8. What is the derivative of -3*w**d + 2*w**2 + w**2 + 6 + 13*w**4 wrt w?\nAnswer: 52*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.603616 rounded to 2 dps?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 355271053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 74465731?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 34 - 279. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 412, 775, 1122, 1447, 1744, 2007, 2230, 2407?\n\"Answer: -n**3 - 2*n**2 + 376*n + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5125023403 + 0?\nAnswer: -5125023403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4666 + 0*r + 9239 - 4400 - 2*r.\nAnswer: -2*r + 173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = p - 15*b + 14*b - 21, -12*p - 4*b + 332 = 0 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*g + 3*g + 0*g + g + 29*g + 10*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33\/6 + 90\/(-60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ootoootootoo. What is prob of sequence tt?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f - 9. Let l be d(-14). Suppose -l*s - 3*b = 664, -88 = 2*s - 4*b + 188. Let y = s + 297. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2235\/7  (b) 4  (c) -163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y**2 - 8*y**2 + 2*y**2 + 0*y**2.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12752 is divided by 93?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 182.2363 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j + 14. Let s be z(10). What is the least common multiple of -1*s\/2 + 13 and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/2*(-284)\/432390*105\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1072 = 5*p + 1958. Let i = 1686 + p. Is 30 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/3 or 37571?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 58  (b) 7  (c) 0.4  (d) -13.5  (e) 4\/7  (f) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 4*j + z, 0*j + 56 = 4*j + 4*z. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42325043.\nAnswer: 42325043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y**2 + 6312*y + 81380 = 0.\nAnswer: -1565, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3136277 a multiple of 667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1347967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 61*i = 60*i + 3, -2*j - 4 = -i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 1994 divide 663443680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 36033189.2 + -11825.2?\nAnswer: 36021364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -2\/5  (b) 0  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41, -1255, 0.\nAnswer: -1255, 0, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 5*x = 33 - 8, 5*x = -4*p - 25. Let t be (1 + 3 - 4)\/(p - -1). Suppose -4*c + 81 - 5 = t. What is the common denominator of -30\/7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 147*f**2 - 1885*f**3 + 209*f**2 - 356*f**2.\nAnswer: -1885*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/(-3))\/((-4)\/408). Does 23 divide (27\/2)\/(17\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 90 = -3*v, -3*v + 5*y - 123 = v. Let s = -24 - v. Solve 0 = -s*c - 3 + 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(-14) + (-12)\/7. Let d(a) = -45*a - 2. Let y be d(l). What is the highest common divisor of 22 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -147*x**5 - 74613*x**4 - 265158*x**3 - 281436*x**2 - 102840*x - 12096 = 0?\nAnswer: -504, -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 280660.\nAnswer: 2, 5, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.07 at least as big as 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1231863 less than 1231864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 - 14*k**2 + 9*k - 8. Let g be l(13). Let p = g + 138. Is (-42)\/4*p\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -1 + 0 + sqrt(605) - -6*-1*sqrt(605)*3)**2*-4.\nAnswer: -699416 + 4488*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s + 2. What is g(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -3*j, -4*j - 275986 = 5*c - 275896 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.05  (b) -2\/71  (c) -231  (d) 0.3  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7665694ug in grams?\nAnswer: 0.0000007665694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that r**2 - 3781*r + 105084 = 0.\nAnswer: 28, 3753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 + 5*h + 20. Give r(-6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -5  (b) 550  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -654*i**5 + 27*i - 18?\nAnswer: -13080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*k + 3)*(15 + 1 + 3 + 2 - 2 + 1 + (1 - 2 + 0)*(0 + 3 - 5) - 9 + 6 + 6)*((1 + 5 - 4)*(-2 + 0 + 1) - 1 - 3 + 5).\nAnswer: -50*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -209*f = -217*f + 143536. What are the prime factors of f?\nAnswer: 2, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8055850 to the nearest 10000.\nAnswer: -8060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5752428 + 97820047\/17. Let w = -1693 + l. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 58.9283+-0.1\nAnswer: 58.8283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -839 divided by -450714?\nAnswer: 839\/450714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:43 AM and 4:01 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 1\/19755 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 326.556 - -198?\nAnswer: 524.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*t + 5*t - 10. Suppose -t*u = -a - a - 10, a = -u - 1. What is the greatest common factor of 4 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 6, -2, -40, -3\/8, -0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -211, -402, -563, -694, -795?\n\"Answer: 15*m**2 - 236*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (-1 - -17) - (-93 - -103)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.37 - 0.57. Let m = 7 - 4. Let h = m + -3. Which is the nearest to h?  (a) s  (b) -2  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37 and -29\/22895560?\nAnswer: 22895560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -171 - -252. Let s = 38 + w. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-12)\/((f**(-7)*f*f)\/f)*(f\/(f*f**(-3)))**19 assuming f is positive.\nAnswer: f**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -78*v + 88*v + 82*v - 94*v. Let k(x) = -15*x**2 - 2 - x**2 + 1. What is k(z(q))?\nAnswer: -64*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*c + c**4 - 6*c + c**3 + c**2 - 2*c**3 - 2 as x*c + o*c**2 + k + d*c**3 + m*c**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4 - 1)*10\/6. Suppose 99*m + 420 = -111*m. Sort 4, m, 2, l in increasing order.\nAnswer: m, 2, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 + m**2 - m + 1. Let c(d) = -d**3. Calculate 5*c(v) - j(v).\nAnswer: -4*v**3 - v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -1246200 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -27*n + 5. Let a be v(-1). What is the highest common factor of 256 and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -3*r - 8, 0*r - 3*z + 12 = -5*r. Let s(d) = -2*d**2 - 7. Let a(v) = -5*v**2 - 13. What is r*a(o) + 5*s(o)?\nAnswer: 5*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 92 = 0, -2*w + 4*c = -1061 + 959 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 - ((-338 - 9) + -1). Let l be (-3)\/(-9) + (-445)\/(-15). What is the highest common divisor of l and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**3 + 4*s**2 + 4*s + 2. Let v be k(-2). Suppose -v*x + x = -90. Suppose 0 = 2*z - 3*z - 5*b + 71, -2*z + 3*b = -x. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of -373*s**5\/5 + s**4\/4 - 92*s**3\/3 + 16*s + 990. What is the third derivative of a(t) wrt t?\nAnswer: -8952*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48 and 4392?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -76, -113, -210, -397, -704, -1161?\nAnswer: -1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1394*a**3 - 128287*a + 995 + 128287*a wrt a.\nAnswer: 4182*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -45*y**2. Let m(k) = -k. Let w(p) = 2*p - 2. Let r(c) = 3*c - 2. Let q(s) = -2*r(s) + 2*w(s). Let n(z) = 2*m(z) - 3*q(z). What is o(n(x))?\nAnswer: -720*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the third derivative of 5*b**4\/24 + b**3\/6 + 37*b**2. Does 4 divide y(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-6))**(1\/15)*(l*l\/l**(6\/7)*l)\/l*l*l\/l**(-7) assuming l is positive.\nAnswer: l**(341\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -190*v + 1. Is d(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 53 + -4272?\nAnswer: -4218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -38\/523?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes after 1:52 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 38\/14 + (-4)\/(-14). Suppose p + 0 = 11. Suppose -p = -4*d - q, -2*d - 17 = -6*d - 3*q. Solve -d*g - b*f = -16, -g - g - f = -12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -254*f**4 - 4*f**2 - 2*f + 115. Let g(w) = 1016*w**4 + 18*w**2 + 9*w - 462. Let c(j) = 2*g(j) + 9*l(j). Find the first derivative of c(p) wrt p.\nAnswer: -1016*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23424 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c**4\/3 - 15229*c**3 - 25618069*c**2\/3 + 8554585*c = 0. Calculate c.\nAnswer: -555, 0, 1, 46241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are -19156111 and -19156110 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 44 and 412368?\nAnswer: 412368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f - 11490 + 38700. Suppose -5*v + 2*s + 12155 = 3050, -f = -5*v - 5*s. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q. Let f(b) = -1709*b**2 - 2*b. Calculate f(t(p)).\nAnswer: -1709*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 160?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/30*(-33)\/(-11))\/(42\/105)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 153*o - 169*o - 2*g = 106, -2*o - 75 = 5*g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1078392 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 4*s, 3*s = -7*g + 12*g - 16. Let f be (-14)\/(-4) - (-2)\/4. Solve -f*o - 8 = -g*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = 5*p - 8*p - 3*o, -4*p + 5*o - 9 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y - 1. Let t be d(0). Let a(b) = -b + 8. Let i be a(6). Let w = t - i. What is the second biggest value in 0.1, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11000010111100111 (base 2) to base 13\nAnswer: -36581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10817293 by 6.\nAnswer: 10817293\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 5, o: 8}. Give prob of picking 3 o and 1 x.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(272) - 1*sqrt(272) - sqrt(272) - (sqrt(17) - (sqrt(153)*2)**2))*1.\nAnswer: -5*sqrt(17) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -7*u**3\/8 + 37*u**2\/4 + 37*u\/8 - 11\/2 = 0. What is u?\nAnswer: -1, 4\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + -4. Let q = 3 - z. What is the second derivative of -2*y**3 + 3*y**3 + 3*y - q*y**3 wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 366323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 11989357162 rounded to the nearest 100000?\nAnswer: 11989400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y - 7. Let l(x) = 2*x + 14. Let a(b) = -4*l(b) - 9*o(b). List the prime factors of a(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35660 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 30 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + 9. Let h = -1.82 - -0.02. Let m = -13656 + 13660. Sort m, f, h.\nAnswer: h, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 539 divide 407484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000942682119 rounded to six dps?\nAnswer: -0.000943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.184 - -0.124. Let y = 0.06 + f. Let r = 1 - 6. What is the nearest to 0.1 in r, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - -b85b546?\nAnswer: b85b549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-56)\/(-12))\/((-1)\/(-33)). Is -4*1*h\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 + 2)*(-2*o**2 + 2*o**3 + 2*o**2) - o**3 - 3*o**3 + 3*o**3 + 45*o**3 - 20*o**3 + 64*o**3.\nAnswer: 90*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**2 + 17*a - 664. Let c be t(48). Which is bigger: -2151 or c?\nAnswer: -2151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*k - 177 = 44*k + 2056 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 35, 19, -5, -37, -77?\n\"Answer: -4*r**2 - 4*r + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 506 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 - f + 7 + 9*f + 12 - 1. Let y be d(-5). Suppose 5*a = -0*a + y*h + 73, -4*h = 3*a - 67. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -2\/3 = -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 25. Suppose 0 = -6*j + 10*j - k. Calculate the remainder when j is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 + 2*d - 11. Suppose 0 = -4*v + 100 - 120. Give n(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5 + -2)\/(-2 + 14\/4). Suppose -5*d + 319 = 2*l, 299 = 2*l + b*d - d. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-four fifths of a centimeter in micrometers?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -60 - -62. Suppose 816 = p*r + 2*o - 7*o, -3*o + 12 = 0. What are the prime factors of r?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3279766, -3279759, -3279750, -3279739, -3279726?\n\"Answer: k**2 + 4*k - 3279771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k + 7. Let i be p(5). Suppose -y + 2*q = -i*q - 14, -3*q + 1 = 5*y. Are 2 and y nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1010\/30 + -7 + (-6)\/9. Solve -i*r = -22*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5164, -6909, -9816, -13885, -19116, -25509, -33064?\nAnswer: -41781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p**2 - 15 + 125466*p**3 - 3 + 6 + p - p**2.\nAnswer: 125466*p**3 - 2*p**2 + p - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4832751*w**3 + 4832755*w**3 + 44 - 89 + 45.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 2 f when four letters picked without replacement from {f: 4, m: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13*s - 70*s**3 - 10*s + 22*s + 83*s**3 wrt s?\nAnswer: 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 66 = 4*q, -4*q - 951 + 993 = b. Let p(u) = -u**2 + 16*u + 30. Give p(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*j + 43*j - 1402 = 1524 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: 196\/665 - (-2)\/(-15)*3\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.01 - -1. Let t = 672 + -672.19. Let z = v + t. Which is the closest to -7?  (a) -1  (b) 0.2  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -1\/2*s**3 + 3 - 13\/2*s + 4*s**2 = 0. What is s?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -3*j - 3. Let p be q(-8). Suppose 18*u = p*u + 243. Let g = u + 101. What is the remainder when g is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -30*k - 14. Let u(a) = -2 - 41*a - 18*a + 2 - 27. Suppose -102*o + 40 = -112*o. Let g(d) = o*u(d) + 7*l(d). Differentiate g(x) wrt x.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pwmpmppw. What is prob of sequence pmp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*t - 5065 = -5185 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/284 less than 7\/634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -9*q + 81. Calculate z(13).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -5*k**2 + 623*k + 257. Let o be x(125). Let m = -0.8 + 0.3. Which is the fourth smallest value?  (a) m  (b) -4  (c) o  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 - 3. Let o be (-5 - -4) + 0 + 7. Let b be 2\/3*o\/26. What is the closest to h in b, 5, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**3 - 21*n**2 + n - 23. Let t be o(21). Let r be 5\/2*t - 490\/(-105). Which is the closest to r?  (a) 0.4  (b) 6\/5  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57899 + 57899 - s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14062, -28097, -42110, -56095, -70046, -83957, -97822?\nAnswer: -111635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/3 - 50252*j**2\/3 + 23254565*j\/3 - 2702832154\/3.\nAnswer: (j - 49786)*(j - 233)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 5*z = -0*c, c - 6 = 2*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 7*q**5 - 6*q**4 + 6*q**3 + 12*q**2 - 6*q. Let d(k) = k**4 - k**3 - k**2 + k. Let t(h) = 6*d(h) + u(h). Find the third derivative of t(f) wrt f.\nAnswer: 420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -318103371*h - 1320157931 wrt h?\nAnswer: -318103371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2*f = 741 - 138, -3*q + 1865 = -2*f. Solve 0 = -2*g + 607 - q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sattkyyaasyatcacat. What is prob of picking 2 a, 1 t, and 1 y?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 3*k + 5 = 0. Suppose 4*n + k*j = 3*n - 117, -3*n - 4*j = 307. Let g = -80 - n. Solve -2*z + 3*z + 4*y + g = 0, 5*y + 17 = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -435*g + 40280 = 625*g for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*b - 186 = -5293*n + 5292*n, 3*n = -b - 14 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve d = -d + 2*h - 2, d + 3*h = 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 22 and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.48 + -0.08. Let h be -10*4\/16*-2. Which is the third smallest value?  (a) 0  (b) h  (c) 2\/13  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 29 = 9. Suppose g = 2*i + 98, 0*g + g + p*i - 104 = 0. Suppose g = 2*s + 5*d, -2*s + 0*s + 64 = -4*d. Round s to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the second derivative of 5*v**4\/12 - 148*v. Let h(n) = 329*n**2 - 35. Let c(x) = 55*x**2 - 6. Let j(f) = -35*c(f) + 6*h(f). Give j(m(p)).\nAnswer: 1225*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -23544347 - -5?\nAnswer: -23544342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8761?\nAnswer: 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = i + 7, -4*i - 24688 + 24705 = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z**2 - 4*z + 4. Let f(r) = -r**2 - 6*r + 10. Let g be f(-7). What are the prime factors of o(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -105.8 minus 0.2?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 512 + -508. Let o(x) = -3*x**2 + 3*x**2 + y*x**2 + 0*x**2 - 6*x**2. Let k(c) = 18*c**2 - 11. Give o(k(v)).\nAnswer: -648*v**4 + 792*v**2 - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3501809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1642805*d**2*n - 3*d*n + 106*d + n - 19 wrt d.\nAnswer: -3285610*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 22 + 15. Let b(j) = 2*j - a*j + 2 + 5*j - 2*j. Determine b(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2347, -2321, -2251, -2113, -1883?\nAnswer: -1537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2108215702.\nAnswer: 2, 67, 3583, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -3*d + 22. Let x be g(6). Solve 0 = -3*t + 5*t + x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 - 4*a + 5. Let d be x(-4). Let z(l) be the first derivative of -l**4\/4 + 4*l**3\/3 + 3*l**2 - 1. Give z(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25567)\/(-691)*-1*1\/1?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s = -8 - 16. Let j(r) = -r - 11. Let p be j(-8). Sort s, 3, p.\nAnswer: p, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -9047?\nAnswer: -4\/9047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9)\/(4\/(-13 - 3)). What is the highest common divisor of 54 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 3*i - 3. Let o = 1.12 + 59.88. Let d = -65 + o. What is the third smallest value in d, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 111\/5 - 21. Factor 0*y + 0*y**2 + q*y**4 + 0 - 3\/5*y**3 - 3\/5*y**5.\nAnswer: -3*y**3*(y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1194 = -76*v + 10846. Calculate the remainder when 1265 is divided by v.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2 - 42*l - 129. Calculate the lowest common multiple of r(-33) and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 41628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the third derivative of j**6\/24 - 19*j**5\/12 + 50*j**4\/3 + 250*j**3\/3 + 30*j**2. Factor n(v).\nAnswer: 5*(v - 10)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, r: 1, x: 1, a: 1, q: 6, d: 2}. Give prob of picking 1 r and 1 x.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-6\/7)*o*o\/o**20 assuming o is positive.\nAnswer: o**(-132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least as big as -1\/586253763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001046 rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m - 4*b + 29 = 0, 3*m - 182*b + 181*b = -16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 + 3*h + 6. Let b = -5 - -5. Let i be d(b). Suppose i*m - 1969 = 905. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2240)*-2*2)\/((sqrt(448) - sqrt(448)*-3*1) + sqrt(448) - sqrt(448)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137 is divided by 107.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18.63102l to millilitres.\nAnswer: 18631.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - ((-6 - -22) + -17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vv when two letters picked without replacement from naavvvvnnaannnnvnvn?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 - 6*r**2 + 6*r - 5. Let z be d(-7). Suppose 0*m = 5*m - 135. Suppose -m*g + 25 = -32*g. Put -4, g, z in decreasing order.\nAnswer: z, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 109, -15\/262, -3\/4, 6, -2, 10?\nAnswer: -15\/262","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5038498200371\/28231020 + -114047302\/639. Let w = x + 7\/2209. What is the common denominator of w and (-30)\/(-50) + 678\/(-80)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 0*f - 2 = 0. Suppose 6*s - s = 2*x + 25, 0 = 2*x + s - 5. Suppose 5*u - 3*u + 25 = 3*v, -23 = -3*v + u. Solve -f*b + v*b = x for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 220210210211001 - 122?\nAnswer: 220210210210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 3*b + 92 = 0, -4*b - 82 = -2*h + 10. Calculate the remainder when h is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*b**5\/11 - 778*b**4\/11 - 6406*b**3\/11 + 54678*b**2\/11 + 466398*b\/11 + 675540\/11 = 0 for b.\nAnswer: -9, -5, -2, 9, 417\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.01 in 1\/8, -83, -1\/3, -0.3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -80\/57 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 12 - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(1700) + 0)**2 - (2 + 0 + sqrt(1700))) + -4*(-6*(sqrt(1377) + -1) + sqrt(1377)) + 1.\nAnswer: 170*sqrt(17) + 6775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**5\/((x**(2\/3)*x)\/x)*(x\/(x\/(x*x**1*x)*x))\/(x*x**6) assuming x is positive.\nAnswer: x**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 + -10. Let g(f) = -f**2 - 8*f - 5. Let c be g(-8). Let x be c\/((-4)\/q - -3). Which is smaller: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that a**3\/4 + 23*a**2\/2 - 477*a\/4 + 495\/2 = 0.\nAnswer: -55, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -25059, -27285, -30993, -36183, -42855, -51009?\n\"Answer: -741*u**2 - 3*u - 24315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 4*z + 7. Let s(p) = -7*p - 13. Let i(u) = 8*u - 7. Let b be i(5). Let h = b + -11. Suppose h = -w - w. Determine w*n(x) - 6*s(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-172*r + 172*r + 53*r**2)*(3*r + 4*r**3 + r**2 + 2*r - 3*r).\nAnswer: 212*r**5 + 53*r**4 + 106*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1220 is divided by 316.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - (-3 + 8))\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-2)\/(g\/(g\/g**(-2\/13)))*(g*(g*g**(1\/3))\/g*g*g)**(-3\/16) assuming g is positive.\nAnswer: g**(-257\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 19575 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of w**8\/672 + w**7\/70 - 7*w**6\/40 - 29*w**5\/30 + 259*w**4\/16 - 147*w**3\/2 - 392*w**2. Solve o(h) = 0 for h.\nAnswer: -7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cyfccfyfffyyffcfy. What is prob of picking 2 c and 1 f?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*t - 2*t - t + 16*t**2.\nAnswer: 16*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.14, -0.5, -2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -59 + 59.3. Suppose -2*u - 4*s - 8 = 0, -4*s = -u - 3*s + 8. What is the third smallest value in u, d, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57556448 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 4, k: 1, j: 2}. What is prob of picking 1 k and 2 d?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2124052833 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-6*((2*sqrt(343) - sqrt(343)) + 5) - ((2*sqrt(343) + -5)*3)**2).\nAnswer: -12606 + 1218*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (27792\/56 - -5) + 4\/(-14). Let g = y + -502. Is -27\/16 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 7*z**3 - z**2 + z - 1. Let d(l) = l**2 - 17*l + 57. Let a be d(13). Suppose -39*g + 8 = -37*g, -a*v - 11 = -4*g. Determine o(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -2*h - 6 - 23*h**2 + 18*h + h. Let a(w) = 4*w**2 - 3*w + 1. Let g be 3*(-3 - (-43)\/3). Let m(q) = g*a(q) + 6*r(q). Differentiate m(y) wrt y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the third derivative of 0*v - 2\/3*v**3 + 0 - 5\/24*v**4 + v**2. Let h(t) = t**2. Give m(h(s)).\nAnswer: -5*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 274 is divided by 95.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1274 and 6223.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1325 - 1324.8. Which is the nearest to 1?  (a) -13  (b) -3  (c) z  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40727*f + 40669*f = -1508 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q - 18. Determine f(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6 - -8 - 9 - (-14)\/2. Solve 4*m + 3*v + 11 = 0, -3*m - q - 12 = -3*v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1170*s**4 - 73*s**2 + 7*s - 4153269?\nAnswer: 4680*s**3 - 146*s + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*k + 10*k - 49*k**5 + 13*k**2 - 175*k**5 - 9*k**2 wrt k?\nAnswer: -13440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108 = -20*q - 0*q - 7*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15571163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3.6, -0.5, 1 in descending order.\nAnswer: 1, -0.5, -3.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 2:00 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -0.4, 0.01327, -5\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = a + 2, 0 = -2*n - 3*a + 20 + 9. Let m be (-13)\/((-2)\/(n + 1)). Let r = -5 + m. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 0.977, -0.1, 3, -1\/4, -401?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*b*i**3*o + b*i**3 + 70354*i**3*o - 1750915*i**3 + 9*i*o with respect to o.\nAnswer: -2*b*i**3 + 70354*i**3 + 9*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -4*l + 4 + 4, 0 = -3*l + 4*z + 16. Suppose 2*w + w = l. Suppose 6 - 2 = -4*i, m - 4*i - 11 = w. Let k(g) = g**2 - 7*g - 1. What is k(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3cab3 - 1928?\nAnswer: 3b189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 60985 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w + 2*n - 28, -9*n + 26 = 2*w - 5*n. Suppose 3*x + 5*o = 1542, 0 = -w*x + o + 884 + 1686. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 3*b**2 + 83*b + 8. Let k(c) = -5*c**2 - 124*c - 13. Determine -5*k(y) - 8*m(y).\nAnswer: y**2 - 44*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.21?  (a) -2\/5  (b) 5  (c) 2  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36890 = 73*r - 1127*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1068 - -1141.7. Let w = j - 73. Which is the closest to w?  (a) -1\/4  (b) -1\/5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -9*c - 25. Let i(q) = -3*q - 8. Let y(s) = -8*i(s) + 3*x(s). Suppose 73*p = -3*h + 72*p + 22, -2*h = -4*p - 24. Calculate y(h).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101101111101 + 1?\nAnswer: -101101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 109313484 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -1 + (-4 - -4) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 + 93*v**2 + 934*v + 96. Determine d(-9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5.0756 - -0.0856. Let j = 0.01 - w. Let n be (-16)\/(-10) + (-3)\/5. Sort j, -1, n in increasing order.\nAnswer: -1, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -125*a - 12*a - 29*a as c + y*a and give y.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 37 = -2*k, -3*o - 5*k + 25 = 2*o. Suppose 0 = -o*j + j + 5576. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*s - 12904 = 61016. Is s a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1695958, 1695978, 1696016, 1696078, 1696170, 1696298, 1696468?\n\"Answer: x**3 + 3*x**2 + 4*x + 1695950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 807450?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -1.96126.\nAnswer: 0.03874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.11 + -7.11. What is the closest to -1 in -2\/19, g, 2\/11?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/87 in 15\/4, 7, 2\/9, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 - -5. Let y = -0.000013 - a. What is y rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81 = -5*h + 16. Let s = -12 - h. Which is smaller: 9\/8 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -4*c**3 - 2*c**2 - 2*c. Suppose -5*r - m + 5 = 0, -3*r - 2*r + 5*m = -35. Let z(p) = 2*p + r*p**2 - 7*p**2 - 9*p**3 - 7*p. Determine 5*t(n) - 2*z(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*1*sqrt(500) + 5)**2 - (5 + (4 + sqrt(5)*-2 + sqrt(50)\/(sqrt(20)\/sqrt(2)))**2).\nAnswer: -192*sqrt(5) + 1999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + -7 + (6 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**5\/(j**(-1\/4)*j)*((j*j**(1\/2))\/j*j)**(-1\/23))\/(((j**(4\/5)\/j)\/j*j**2)\/(((j**(-2\/11)*j)\/j)\/j*((j*j**(-2\/11)\/j)\/j)\/j)) assuming j is positive.\nAnswer: j**(107\/5060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 476.99999434 - 477. Round h to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -0.63  (c) -3  (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-20)\/25 + (-4)\/(-10). Which is the nearest to i?  (a) -3  (b) 2  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*a + 178*a**2 - 282 + 282 + 7*a + 12*a.\nAnswer: 178*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the first derivative of -12\/17*v**3 + 1\/51*v**6 + 5\/17*v**4 - 27\/17*v**2 + 28 + 14\/85*v**5 + 54\/17*v. Factor b(c).\nAnswer: 2*(c - 1)**2*(c + 3)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 71 - 71.00001302. Round l to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9287 - 4860 = 620*q - 6733 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 349 a factor of 2116874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 61.46485 micrograms in tonnes?\nAnswer: 0.00000000006146485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 7*d**2 - 10*d + 2. Determine o(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73 = 4*j - 5*o, 0 = -2*j - 19*o + 14*o - 1. Suppose -4*y - j = 0, -y - 4*y = 3*c + 3. Solve x + 3 = -4*q, -3*x - 3 = c*q - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t - 1. Suppose 2*a - 5*h = -1 - 14, 0 = -a + 3*h - 9. Let l be y(a). Is 1\/((-2)\/12*l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 163 and 9?\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -38  (b) -0.2  (c) -21  (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*a + 4*a + 2*a)*(5*a - 5*a - a) - 9*a - 263 + 270 - 5*a**2 + 3*a**2 + (2 + 3 - 3)*(4*a**2 - 2*a**2 - 3*a**2) - a**2 + a**2 - a**2.\nAnswer: -7*a**2 - 9*a + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.1348 * 405851\nAnswer: -54708.7148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4608*a + 4609*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = -5*u - 55, -585*f + 7*u = -586*f - 85 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -166*n = -44*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f - 52. What is o(-18)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u - 1. Let t(f) = 4*f - 3. Let y(m) = 6*d(m) + t(m). Let k be y(-6). Solve -1 = a - h, 4*a + k = 5*h - 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -124*s**4 + 5609*s**3 - 252482*s + 27 wrt s?\nAnswer: -1488*s**2 + 33654*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4.5 - 4. Let i = 0.0042 + -2.1942. Let a = i - -1.19. What is the closest to 1\/2 in -0.2, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 156213940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 11) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-12 + 4 + (-13 - -18))*10\/(-6). Sort 309, b, 4 in descending order.\nAnswer: 309, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56469 divided by -4.\nAnswer: -56469\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 61889833\/40002 + -12\/6667. Let t = s + -1567. Let n = 5\/158 - 12557\/2370. Find the common denominator of t and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 536*v - 570. Calculate g(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3428, -9414, -15400, -21386, -27372, -33358?\nAnswer: -39344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -42424 - 0?\nAnswer: -42424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 - 22*m + 58. What is the remainder when r(24) is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2016775463 a multiple of 1878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5564*-1.186.\nAnswer: -0.6598904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fgf when three letters picked without replacement from goff.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.69001 millennia to months.\nAnswer: 116280.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 98 = -5*y. Let m(l) = 1 + 33*l - 10 - 68*l + 36*l. What is the lowest common multiple of y and m(17)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (11\/3)\/(9\/(-81)). Let g be (-100)\/3 - 1 - -1. Let h = i - g. Which is the nearest to h?  (a) 2\/11  (b) 0.1  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 55 + -2 - -62 - 43.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/5)\/(8\/(-16)). What is the closest to 0 in 0.37, 1\/7, h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1 and -624108.377.\nAnswer: -624108.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 3*t. Let o(x) be the second derivative of x**4\/12 + 6*x. Calculate f(o(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 862*j + 18. Let p be x(1). What are the prime factors of -2*(-1 - p\/4)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 13) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8\/5, -1\/5, 37, 0.1 in increasing order.\nAnswer: -1\/5, 0.1, 8\/5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9663.4 - -9663. Which is the fifth biggest value?  (a) p  (b) -3  (c) 3  (d) 5  (e) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 + -26. Let w = n + 10. Let y(l) = -l**2 - 3*l + 12. Let p be y(-5). Sort p, 0.4, w in ascending order.\nAnswer: w, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 30.83 - 33.2. Let l = w + 2.2992. What is l rounded to 3 decimal places?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 7 - 7 + 12 - 5273*j + 5275*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10000100000100010111000 (base 2) to base 9.\nAnswer: -8125323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*c = -19*c + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3489655496006 and 39?\nAnswer: 3489655495967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4009 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 9 + 3. Suppose 39*r = 42*r - t. Let d(q) = 118*q**2 + q. Is d(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -573 + 4577. Is n a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 917342 and 11401?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of -4*m**3\/3 - 7*m**2 - 2*m - 43. What is the remainder when 5 is divided by g(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -2*u**2 - 87. Let a(k) = 15*k. Give a(n(d)).\nAnswer: -30*d**2 - 1305","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 14*r**2. Let f(k) = 6*k. What is n(f(v))?\nAnswer: 504*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + 4 = 3*k, -3 = 3*k - 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 8:43 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 25878*l*w**3 + l*w**2 + 46*l*w - 3*l + 7360989*w**3 wrt l.\nAnswer: 25878*w**3 + w**2 + 46*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1227 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: -854167 divided by 42\nAnswer: -854167\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 - 4. Let s(y) = y**3 - 4*y**2 + 2. Let t be s(4). What is the second derivative of 2*f**t + m*f + 0*f**2 + f**2 wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3838500 less than 733.28?\nAnswer: 3839233.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 128695 at least 128678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/47)*r)**36\/((r*r*r**(-3)*r)\/(r*r\/(r**4\/r))) assuming r is positive.\nAnswer: r**(1573\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 446256827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8387.\nAnswer: 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 5865711, 5865737, 5865763, 5865789, 5865815?\n\"Answer: 26*r + 5865685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b - 7 + 7)*(-1 + 3 - 1)*(0 - 2 - 3).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 1892 + 222 - 701 = 0. List the prime factors of h.\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uic when three letters picked without replacement from {c: 2, d: 2, e: 1, r: 2, i: 2, u: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/12*(-128)\/(-120).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1712 divided by 2\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(-7))\/(x*x**8*x))**(1\/2) assuming x is positive.\nAnswer: 1\/x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -4*s**2 + 16*s - 8. Let j(n) be the second derivative of n**2\/2 - 5*n. Let x(o) = -f(o) + 8*j(o). Factor x(h).\nAnswer: 4*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.47 - -3.47. Which is the fourth biggest value?  (a) i  (b) 0.1  (c) 0.2  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 5, -1\/94, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*c**2 - 51*c**2 + 36*c**2 as g*c**2 + p*c + q and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**2 + 5*i - 6. Let g be p(1). Let m = 6407\/18 + -2107\/6. Let t = 713\/153 - m. Which is bigger: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 672 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 4343.4km?\nAnswer: 4343400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 3*a**2 - 22*a + 97. What is y(8)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -75\/8 and -103\/1596.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -123*q + 352. Give n(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 46 + 2 + -6 + -1 + 5 + 1.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*s - 5*s - s)*(-11 - 13 - 7)*(2 + 12 - 5) as w + z*s and give z.\nAnswer: 1674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 23381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15649 - -15654. Solve -4*u = t - 8, -w*t - 2*u - 6 = -7*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(19) + 2)**2 + 3.\nAnswer: 8*sqrt(19) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 33*u**3 + 11*u**2 - 8*u. Let k(b) = 32*b**3 + 10*b**2 - 6*b. Let n(z) = 4*k(z) - 3*x(z). What is the third derivative of n(y) wrt y?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -23356.00257 + 23356. What is v rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 631317679?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -2*w + d, -4*d = -155*w + 150*w + 20. Let k(j) = j**3 - 9*j**2 + 8*j + 3. Determine k(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132065251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 9 = q, -q + 8 = 4*r - 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 - 87*n**2 + 7*n - 609. Let l be f(87). Solve l = -28*u + 185 - 45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 5*y - 5, -y + 0*y - 4*w = -16. Let z(o) = o**3 - 2*o**2 - 5*o + 3. Let s be z(y). Let c be (0 + -9)\/(s\/(-20)). Solve 4*t + c = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1, -0.4, -5, 0.06?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + 1 - (-214 + 169 + 15)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 - -14. Let g be 10\/28 - (-3)\/(-6). Let s = 7.8 + -9.8. Which is the third biggest value?  (a) g  (b) v  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2435853489?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c + 4. Let d be y(0). Suppose -2 = -2*n + d. Which is greater: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.006936784 to six decimal places.\nAnswer: 0.006937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 482698580 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x + 2*s - 848, 3*x + 0*s + 3*s = 642. Solve 43*n + x = 13*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1026?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -787*i**3*z**2 - 4*i**3*z + 4*i**2*z - 606*i*z**2 + i - z - 4 wrt z?\nAnswer: -1574*i**3 - 1212*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -5124, -8923, -11338, -12369, -12016, -10279, -7158?\n\"Answer: 692*o**2 - 5875*o + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*o + k - 2*k, 4*k = -o - 19. Let f be 6\/(o - 3) + -1. Is 4\/(f\/(-35)) - 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -121020 - 12?\nAnswer: -121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 155769 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -117, -115, -113, -111, -109, -107?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 82618000.\nAnswer: 2, 5, 101, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**2 - p**4 + 2*p**2)*(-20293 - 33496 + 2590 - 34168).\nAnswer: 85367*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6408659 and 407.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 37?  (a) 94  (b) -2\/5  (c) 0.3  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1573) - (-2*sqrt(1573) + sqrt(1573))) + -5)**2 + 4.\nAnswer: -220*sqrt(13) + 6321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 34 = 2*k, g - 2*k - 22 = -3*g. Suppose -7*x + 2*x + g*x = 0. Let p(r) = -r**2 - 4*r + 2. Let l be p(-4). Solve 5*c + 13 + l = x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*p + 3*p + p - 2 + (3*p - 4*p - 3*p)*(3 - 2 - 3))*(-7*p + 9*p + 2 - 7*p**2 + 2*p**2) to v*p + s*p**3 + i*p**2 + l and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*j - 16108 - 17892 = 0. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s + 2. Let z(h) = 8*h - 4. Let v(l) = 8*n(l) + 4*z(l). Let a(p) = 33*p. Calculate v(a(o)).\nAnswer: 1320*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*u + 8*u = -56224. List the prime factors of u.\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 7*t**2\/4 + 2904148*t + 1659513\/4 = 0. Calculate t.\nAnswer: -1659513, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 126*q**2 + 83*q + 253. List the prime factors of k(-3).\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, 58, 5, 10, 2, -5, -1 in descending order.\nAnswer: 58, 23, 10, 5, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 + 13*w + 7. What is y(-10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-4 + 5)\/((-14)\/(-4))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 76753890 divided by -4614.\nAnswer: -16635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 4*i**2 - 127*i + 75. What is the remainder when q(32) is divided by 44?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 358.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 - 6*z**2 + 8. What is the remainder when 22 is divided by w(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 5*q = -6*r - 20, -5*q - 20 = 0. Let c(j) = j**2 - j + 1. Let k(x) = -3*x**2 + 2*x + 8. Let g(a) = -2*c(a) - k(a). Calculate g(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63028 (base 9) in base 4?\nAnswer: 22021223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = f - 42 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -3*f**2 - 5*f + 9. Let u(v) = -5*v**2 + 3*v + 6 + 7 - 11*v. Let p(q) = 8*b(q) - 5*u(q). What is the units digit of p(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 89 - 9?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**4 + q**3 + 3*q**2 - q - 2.\nAnswer: -(q - 2)*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 2056*h = 2054*h + 2572, 2*k - 2516 = 5*h. Calculate the highest common divisor of k and 568.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that i**4\/5 + 2*i**3\/5 - i**2\/5 - 2*i\/5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4624*b + 104 - 1266*b - 104 to the form l*b + z and give l.\nAnswer: -5890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-16)\/((-8)\/(-2)))\/((-42)\/(-3)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 34*s**4*z - 166326*s**4 + s**2*z + 10*s**2 + 18*s*z + 184 wrt s.\nAnswer: 816*s*z - 3991824*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d**2 + 4*d**2 - 3*d**2)*(5*d**2 - 6*d**2 + 5*d**2) + (3 - 3 - 2)*(d**4 + d**4 - 4*d**4).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7154, 14186, 21216, 28244, 35270, 42294, 49316?\nAnswer: 56336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1096)\/2192)\/(30\/12).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 125 + -4242042?\nAnswer: -4241513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - 11 - (1 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*d**3*n**2 + 6*d**3*n - 30*d**3 - 3*d + n**2 - 5 wrt d?\nAnswer: 18*d*n**2 + 36*d*n - 180*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2438590*a**3 - 4*a - 7 + a**2 + 2438581*a**3 + 18 to f + w*a + h*a**3 + l*a**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 489699135 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: Expand (3*v**5 + v**5 - 6*v**5)*((-7 - 1 + 3)*(2 - 5 + 0) + 22 + 19 - 37).\nAnswer: -38*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5050.5381877 and 4.72.\nAnswer: 5055.2581877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -531\/7*a + 3\/7*a**3 - 972\/7 - 60\/7*a**2.\nAnswer: 3*(a - 27)*(a + 3)*(a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 2*m - 33. Let i(j) = -j + 34. Let w(h) = -4*b(h) - 5*i(h). Suppose 3*y = -49 - 5. What is the remainder when w(y) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 - -50525340?\nAnswer: 50525342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 526 is divided by 174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143004 is divided by 311?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -45887.825 to the nearest 10.\nAnswer: -45890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1691.999253 + -1692. What is m rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1296634 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -5*u. Let l(x) be the third derivative of 823*x**5\/60 - 2459*x**2. Determine p(l(s)).\nAnswer: -4115*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.614 + -2.614. Which is bigger: -2\/4815 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b = -60 + 72. Let c(i) = i**2 - 13*i + 12. What is c(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3605325 a multiple of 795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1688 + -2?\nAnswer: -1701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-91*q**2 + 91*q**2 - 24*q**3)*(-25 - 36 + 342 - 146 + 256 + 308).\nAnswer: -16776*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 149138693?\nAnswer: 11, 23, 589481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18.155 + 28.155. What is the fourth smallest value in -4\/7, a, 2\/11, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3769456096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -2*u**2 + 3*u - 2. Let r be j(2). Let f = r + 7. Differentiate -f + 0*s**2 + 0*s**2 + 2*s**3 with respect to s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 13*g**2 + 3*g - 2. Suppose 4 = -4*p - 3*l - l, p - 5*l = 17. Let i be h(p). Let k = 79 - i. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of 1\/108*s**4 + 0*s + 2\/27*s**3 + 2 - 1\/180*s**6 - s**2 - 2\/135*s**5. Let a(k) be the second derivative of h(k). Factor a(q).\nAnswer: -2*(q + 1)**2*(3*q - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/2640729 and 82\/5967?\nAnswer: 23766561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -247 (base 9) in base 8?\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = 46*d - 210, -8*a + 13*a = 5*d + 7*a + 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 152120 or 152119?\nAnswer: 152119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 - 326*g**2 + 1596*g + 307. Determine u(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvsvvs. What is prob of sequence svvs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*b**4\/7 - 178*b**3\/7 + 138*b**2\/7 - 6*b\/7 - 20\/7 = 0.\nAnswer: -10\/33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -265 - 230. Let t = -95 - o. Calculate the remainder when 13 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19)*2*-3 + sqrt(1539)*2 - (-5 + (sqrt(931) - (1*sqrt(931) + -4 + sqrt(931)))))**2.\nAnswer: 38*sqrt(19) + 6860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6345909?\nAnswer: 3, 71, 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(1\/8)\/m*m*m)\/m**(-6)*((m\/(m**(-14)\/m))\/m*m)\/(m**(-14)*m) assuming m is positive.\nAnswer: m**(297\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (22*(-16)\/88)\/((-38)\/(-3))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79057 is divided by 78757?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.47718666 and 1.\nAnswer: -0.47718666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -52 in -4915, 5, 3.5?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.135 + 1.823. Let p = 0.158 - k. Let c = p - -11.63. Round c to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 335, 846, 1437, 2114, 2883?\nAnswer: 3750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1007 and 114109.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 601*r**2 + 35 - 371*r**2 + 4 - 44.\nAnswer: -972*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 548 = z - b, 2*z + 5*b - 1131 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -39 - -40?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 36643504.51 and 0.03?\nAnswer: 36643504.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = m - 0*m. Let b(k) = -5*k + 18. Let t(v) = 23*v + 12. Let s(o) = 60*o + 31. Let f(y) = 5*s(y) - 13*t(y). What is m*b(d) + 6*f(d)?\nAnswer: d + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.42 - 1.92. What is the closest to -1 in 7, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/2*11\/3. Let t(h) = 6*h**2 + 2*h - 3. Let a(s) be the third derivative of -17*s**5\/60 - s**4\/4 + 4*s**3\/3 - 608*s**2. Calculate o*t(j) - 4*a(j).\nAnswer: 2*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = -2*k + 32 - 45, 0 = -4*k + 4*d - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes after 3:13 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/144 and 91\/37024434.\nAnswer: 296195472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*s - 10 - 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -21) + -59 - (2 + -8 - 6).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 2 c, and 1 q when four letters picked without replacement from ccchcccccqccch?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (37 + -46)*1*704\/(-144).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 + 7*i**2 - 4*i - 8. Let n be v(6). Let o be (-7 - -8)\/((-3)\/(-57)). Suppose s + s = -3*y + o, -5*y + 33 = 4*s. Solve 0 = n*b + s + 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 400 divided by -21\nAnswer: -400\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 150 + -100. Suppose -4 - x = 18*p. Suppose -2 = -3*s - 3*f + 1, 3 = 3*f. Sort 4, s, p, -2 in decreasing order.\nAnswer: 4, s, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -102510712709\/860020242 - 365\/1230358. Let i = h - 32\/233. Let k = -118 - i. Which is the nearest to 0.1?  (a) -4  (b) -2\/9  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 2*v**2 + 27*v + 50. Let t be q(-13). Solve t*j - 25 = 42*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.4, 3, 2\/9, 1871.1363, 1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 AM and 4:16 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 64 + -67.3. Let t = -3.30000074 - c. What is t rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/5, -1.4, -4267, -6, -0.3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -128*c + 517. Determine u(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:37 PM and 7:37 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o*o**(4\/7)\/o*o)\/o**7)\/(o**3)**(-29))**(-36) assuming o is positive.\nAnswer: o**(-20808\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -6*u**3 - u. Let r be i(-1). Suppose -r*s - 628 = -3*s. Let m = 131 - s. What is m rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -28 (base 12) to base 14\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/6 + 1)\/((-4)\/(-6)). Let k be (b + 6\/(-4))\/((-4)\/32). Solve 3 = 3*h - 3*f, k*f - 2 = 3*f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:37 PM and 12:10 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -9.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*l - 7*l - 4*l)*(15 - 61 - 6) + 3*l + 15 - 15 to the form f + d*l and give d.\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 258437191 is divided by 62.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 12*p**5\/13 - 4094*p**4\/13 + 32314*p**3\/13 + 107576*p**2\/13 - 338488*p\/13 + 53280\/13 = 0.\nAnswer: -4, 1\/6, 2, 10, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 980322?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + -223?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1662083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (3402\/135)\/18 + 5\/((-125)\/(-2690))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 327 divide 24519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 8 = 3*v - 5*d, -3*d = 3*v + 24. Let t(l) = -l**3 - 6*l**2 + 2*l - 5. Calculate t(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**2 + 5*t - 9. Let c be z(-7). Let x(s) = 2*s + 5 - s - s + s. What are the prime factors of x(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + k + 5 = 0, -6*k = -3*k + 15. Suppose 2*u - 3*u + 2 = b. What is the third derivative of 10*s**u + 73*s + 10*s**5 - 3*s**2 - 73*s wrt s?\nAnswer: 600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.02 in 1\/15, -0.3, -3, -1\/4?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**3\/x)\/x)\/(x*x*x*x*x**(-19)\/x)*(x**(-3\/10)\/x)**(-8) assuming x is positive.\nAnswer: x**(137\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 4*n - 24. Suppose 17 = n*z + 2. Let d = -20 + 47. Calculate the greatest common factor of d and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(5\/4)\/(u**10*u)*u\/(u**(1\/14)*u)*u*u\/((u\/(u*u**(-1\/2)\/u*u))\/u) assuming u is positive.\nAnswer: u**(-205\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -15535.13 and 0.5?\nAnswer: -7767.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 732899 is divided by 230?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 2*h = 0. Let d(p) = -p + 1. Let l be d(h). Is -1 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 36\/20*2*20\/8. Let z(y) = y**3 - 9*y**2 - y + 3. Let h be z(n). Is h smaller than -21\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 46*v - 626. What is the remainder when q(31) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*f - 54*f**2 - 6*f + 157*f**2.\nAnswer: 103*f**2 + 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3438)\/(-15) - (-1)\/(-5) - -6. Find the third derivative of 24*m**2 - 5*m**5 - 239*m**6 + s*m**6 + 60*m**2 wrt m.\nAnswer: -480*m**3 - 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 306881280 and 9600.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -26.19667 rounded to 2 decimal places?\nAnswer: -26.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-9)\/(-16))\/(129\/(-172)). Let d = -0.42 + 0.02. Let p = 116.2 + -116. Which is the closest to -2\/5?  (a) d  (b) r  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4635 + 637 + 2622 = -104*w - 218 for w.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/8)\/((-1015)\/58*6\/40)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a - 61 - 2*a**2 + 61 + (1 - 3 - 1)*(7*a**2 + a**2 - a**2 + (-5*a + 4*a + 3*a)*(2*a - 2*a + a) + 3*a**2 - 6*a**2 + 0*a**2).\nAnswer: -20*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23 + -20. Let m be 1 + ((-5548)\/(-219) - (-2)\/(-6)). Solve f*n = 14 - m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 166\/5 - 33. What is the nearest to -0.1 in v, 1\/3, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/15*(-20)\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 314829?\nAnswer: 3, 34981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -12*t**2 + 29 + 7*t**2 + 6*t**2 - 3*t - 12*t. Let b be y(13). Solve -5*r = -2 - b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 - 9 = -c + 3*l, 4*l = 5*c - 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.0412 + 0.041673. Round k to five decimal places.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 435*s - 439*s = -60908. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7009 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-3) - (11 - 248\/24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 - 2*k**2 + 1. Let o(q) be the third derivative of 1\/6*q**3 + 0 + 1\/60*q**5 + 0*q - 2*q**2 - 1\/8*q**4. Let w be o(2). Calculate a(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1003963000 rounded to the nearest one million?\nAnswer: -1004000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, -9, -43, -101, -189, -313?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 694 is divided by 166?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 - 7*g. Suppose t = 4*t - 27. Let z be t + (-1 - (-2 - -1)). Calculate the least common multiple of 10 and j(z).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dnoooonndlnododd. Give prob of sequence lono.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 490986499 to the nearest one hundred thousand.\nAnswer: 491000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -13*f. Let x be w(-3). Let n = x + -34. Suppose 5*j = -0*u - u, n*u = -j. Solve 0*z - z + 1 = u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + 1153?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24863.\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from afcf. What is prob of picking 1 f and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4178 is divided by 259.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of m**6\/8 + 49*m**4\/24 - 23*m**2\/2 - 24. Let x(y) be the second derivative of v(y). Find the second derivative of x(c) wrt c.\nAnswer: 90*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19*(-105)\/((-1680)\/(-64))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -120\/24301?\nAnswer: -120\/24301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66 and 591954.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-48)\/9)\/(2\/(-6)). Let z(g) = g**3 - 4*g**2 + 4. Let y be z(4). Suppose 5*i + 20 = -2*l + 55, -l = -4*i - 11. Solve -c - 3*c = r, u = -y*c - l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 4, 6, -2, -8, -683 in decreasing order.\nAnswer: 6, 5, 4, -2, -8, -683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24851.\nAnswer: 24851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90 = -n + 6*n. Let h be n\/6*(-26)\/3. Let c be 10 - 1\/((-2)\/110). Calculate the highest common divisor of c and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14544 and 2910416.\nAnswer: 26193744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-141)\/(-20163))\/((-1)\/(-26))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2601, -2584, -2565, -2550, -2545, -2556, -2589?\nAnswer: -2650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -719*w + 2383 + 175 + 318 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o - 7. Let i be q(13). Let g(j) = -j**3 + 3*j**2 + 7*j - 7. Let m be g(i). Let c = m + 125. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16 + 10. Let n(c) = -c**2 - 5*c - 4. What is n(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 10  (b) -3\/7  (c) -387  (d) 1\/3  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.4059463 kilograms?\nAnswer: 405946.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((24 - 1 - 1)*(-4*n**2 - n**2 + 2*n**2) + 3 - 3 + n**2)*(2*n**2 - n + n)*(3*n + 0*n - n).\nAnswer: -260*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.029  (b) 0.2  (c) 0.1  (d) 4\/5  (e) 2346\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(8\/6*26\/(-52))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 53 + 68. Is 38 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (41\/((-4510)\/(-44)))\/((-6)\/(-10)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (24 - (7 - -4) - 10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3 and 786?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 125515*x**2 + 0 + 62711*x**2 + 61770*x**2.\nAnswer: -1034*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2930.15182 rounded to the nearest 10?\nAnswer: -2930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2970762.6s?\nAnswer: 49512.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**4 - 40*n**3 - 10716*n**2.\nAnswer: 4*n**2*(n - 57)*(n + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**2 + 2080*c - 10525.\nAnswer: 5*(c - 5)*(c + 421)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 3*w + 1032243 = 1032270, 78 = -4*v - 17*w for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2661, -5323, -7985, -10647, -13309, -15971?\nAnswer: -18633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 10 = 4*h, -4*n - 5*h = 26 - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvw when three letters picked without replacement from {w: 1, v: 2, m: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 - m**2 - 1. Let q be n(-2). Suppose q*l = -5*s + 38, s = -0*s + 5*l + 30. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n - 165494 = -30*n + 242886. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 5*b. Let w(m) = 2*m + 45. Determine w(i(c)).\nAnswer: 10*c + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p**0*p)*p)**(-1\/7)\/(p\/p**1)**26)\/((p\/p**(-1\/4))**48*(p**(1\/2))**2) assuming p is positive.\nAnswer: p**(-428\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 5) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 6*c - 2. Let r be j(1). Let q(d) = 4 - 2*d + 1 + 0. Give q(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30.42848673 rounded to two decimal places?\nAnswer: -30.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3791487073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -62 - -219. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4285.\nAnswer: 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38388470 is divided by 184.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 5, a: 2, j: 1, s: 1}. What is prob of sequence psja?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 145 - 80. Let o be 2\/(-10) + 124\/20. Suppose -85 = -o*b + c. Is 25 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(38*8\/2432)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 3 = 5, 5*g + 2*t = 112. Suppose -623 = -g*b + 457. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 29.597417 to one dp.\nAnswer: 29.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9222780929 to the nearest integer?\nAnswer: 2097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -42 (base 7) to base 16.\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 14 + -7 - (-5)\/((-5)\/(-2)). Solve x + o*x + 40 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 382724529?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -828438 - 112*x + 99*x + 828466.\nAnswer: -13*x + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mlmquumm. What is prob of picking 2 m and 1 q?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.4, -0.037, -0.09, 1656?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 508667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a**2 + 5 - 5 + (-2*a + 4*a + 0*a)*(0*a + 3*a - 2*a) + 2*a**2 + 0*a + 0*a + (2 - 2 - a)*(4*a - 4*a + a) as o + d*a + j*a**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 674382184 rounded to the nearest one million?\nAnswer: 674000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 12, 4*p - 5136 = -5*v + 2567. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3 + 1\/(-1) + 2. Let k be 2\/(s\/(-5) - 0). Is (-342)\/(-10) + (-1)\/k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -100 - 267534?\nAnswer: -267634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + 110121222022?\nAnswer: 110121222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p - 577 + 2257. 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: Suppose 0 = 11*x - 27*x - 896. What is the lowest common multiple of 12\/(-16) - -6*(-63)\/x and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4.39 + 0.91. Let k = -0.7 - f. Which is the second smallest value?  (a) 1  (b) k  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the third derivative of t**6\/160 - t**5\/40 + 3*t**2. Factor z(w).\nAnswer: 3*w**2*(w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of -35*u**2\/2 - 59*u + 3262. Let r be (5 - -1)*(-3)\/2. Does 16 divide m(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2 - 132304*v - 2117376.\nAnswer: 2*(v - 66168)*(v + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33080*k - 6*k**2 + 33080*k + 2*k**2 - 13*k**2.\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/18 - (-118)\/(-6). Are -20 and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of -v**3 + 7*v**2\/2 + v. Let k be q(-8). Suppose -k = 5*j - 315. Is j a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22 - 16. Let r be 11\/3 + (-4)\/6. Suppose 3*h - r - o = 0. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.07949327 - 0.3317262.\nAnswer: -0.41121947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/((-2)\/(-6)) + -3. Suppose 4*j - 44 = -q*j. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.07, 0.1, -1, 0.05, 2, -1\/98?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3009\/33 - 10\/55. Let k = -99 + m. Let a be k\/(-28)*(1 - -6). Solve w = 2*w + a*z + 6, 3*w + 2*z = -10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 942 and 13599654.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 - 61 = -5*s - 3*p, 78 = 4*s - 2*p. Let d = s - 14. Calculate the remainder when 8\/10*715\/26 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*m - 44*m = -2*s - 20, 5*m + 10 = 5*s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-9))\/(80\/4*16\/(-96))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 - -6. Let c be (-1)\/(-8)*18 + -2. What is the nearest to 1\/2 in 2, c, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-9 - -22) + 1 + 128. Put -3, -5, v, -4, 4 in ascending order.\nAnswer: -5, -4, -3, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 4 = -12. Let b(u) = 4*u**3 - 5*u**2 + 4*u + 9. Let z(s) = 13*s**3 - 14*s**2 + 12*s + 28. Let p(h) = v*z(h) + 7*b(h). Is p(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -4, 1, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 2*c**2 + 126. Let d(m) = 2*m. Determine i(d(y)).\nAnswer: 8*y**2 + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 - (-12)\/(-4))*30. Is b bigger than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3810, 0.06, 26, -1 in descending order.\nAnswer: 26, 0.06, -1, -3810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 10*l - 71. Let z(b) = -2*b**3 + 17*b**2 - 10*b + 24. Let j be z(8). What is the remainder when o(j) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2734, 21657, 72938, 172729, 337182, 582449, 924682?\n\"Answer: 2692*c**3 + 27*c**2 - 2*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6499 + 6503. Solve -4*r + 4*n = -26 + 2, -2*n = a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -12 - 14) + -4 + -37 + 25.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**4 + 49143*j**3 - 737820*j**2.\nAnswer: 3*j**2*(j - 15)*(j + 16396)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 10*v**5 - 1645*v**4 - 850*v**3 + 4135*v**2 - 1650*v = 0. Calculate v.\nAnswer: -2, 0, 1\/2, 1, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.13863 and -8.\nAnswer: -7.86137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 4*v - 6 = 0. Suppose -t + v = -0. Is -62*(t\/(-2) - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -2*u**3 + 23850*u**2 + 23957856*u + 5784508296 = 0.\nAnswer: -474, 12873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -31*x - 286. Suppose 0 = 4*i - 3*i - 42. What is the least common multiple of i and a(-10)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -119 * -0.453548.\nAnswer: 53.972212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23321726?\nAnswer: 2, 1301, 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2, -0.53, 1\/3, 14\/9, 0.03?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 - 1. Let f(x) be the first derivative of -x**4\/2 - x**3 - 55*x + 1013. Give -f(i) + 3*w(i).\nAnswer: 2*i**3 + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 58 - 54. Let w(t) = 16*t. Let i be w(1). Is 37\/c - (-12)\/i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -301 + 300.638. Let k = w + 0.3369. What is k rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23 - 29 - 55 - 2 + 1 + 0 - 1 + 3 - 3 + (0 + 3 - 1)*(0 - 2 + 1) - 2 + 1 + 0 + 6 + 9 + 28 + 2 + 3 - 4)*(3*b - 3*b - b).\nAnswer: 68*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0256 rounded to 4 decimal places?\nAnswer: 0.0256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -2*m - 5. What is g(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 2*u**3 - 10*u**2 + 10*u. Let j be (-12)\/9 - 8\/(-6). Let s be 0 - -4 - 1 - j. Suppose -2*p - 5 = -s. Let l(h) = -h**2 + h. What is p*b(k) + 10*l(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 27298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -81 + 39 + 28 + ((0 - 38) + -1 - 2)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (7*-1)\/(-29 - -28). Let y = -450 + 457. Calculate the highest common divisor of y and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (20\/(-16))\/(1\/(-4)). Suppose -5*s - 60 = -4*l, -2 = -s + h*l - 35. Let q be s\/12 + 64\/6. Calculate the highest common factor of 40 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 718 divide 2770044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Factor w**3\/4 - 461*w**2 + 887485*w\/4 - 17047821\/2.\nAnswer: (w - 901)**2*(w - 42)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15687 is divided by 751?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n**4 + 8*n**4 - n**4)*(-1 - 2*n + 1 + (n + 0 + 0)*(-2 + 2 + 1) - 10*n - 58*n - 79*n).\nAnswer: -592*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -25150*d - 653938. What is g(-26)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -39 + 49. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**3\/8 + 10939*d**2\/8 - 29789235*d\/8 - 690951303\/8.\nAnswer: -(d - 5481)**2*(d + 23)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of 75 and 14460.\nAnswer: 14535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -309447\/79 + 3917. Is 0.06 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - 1. Suppose l*n = 5*n. Solve n*x - 5*x = 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 19589.5 to the nearest one hundred.\nAnswer: 19600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = 7*s - 16*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(99))*-1.\nAnswer: -3*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 121 - 2210121021002?\nAnswer: -2210121020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1553256 and 648?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 12) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 3*n - 33, -20*h + 25*h = -2*n + 17. Calculate the greatest common divisor of n and 656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -341*p**2 - 341*p**2 + 685*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/1065486585 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-48)\/(-8) + ((-4455)\/85)\/9.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - a = -12, -2*a + 6*a = -k + 3. What is the second biggest value in 1.37, k, -4?\nAnswer: 1.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and -4.2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-3\/8))**(-3\/5) assuming m is positive.\nAnswer: m**(-33\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-nine fifths of a decade?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -38219*v**3 + 104437*v wrt v.\nAnswer: -229314*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(825)*6*-2)\/(sqrt(11) + sqrt(55)\/(sqrt(5) - sqrt(20)) + (sqrt(55)*3)\/sqrt(5)))**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 5*j**3 + 105*j**2 - 232*j - 23. Let a be n(-23). Which is greater: 248\/11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, -3, -10 in increasing order.\nAnswer: -24, -10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -10*w**2 - 3*w - 2. Let y(a) = 11*a**2 + 4*a + 2. What is -4*b(s) - 3*y(s)?\nAnswer: 7*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -31 + 78. Let o = f - -89. Let m be -3 - (-1 - 0 - o). What is m rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(p**(3\/7)*p)*p**(-1\/4)\/p*(p**(-1\/2)*p)**(2\/53) assuming p is positive.\nAnswer: p**(-2463\/1484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 8 + (1 - 13) - 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2*2*4\/(-12) - 11398\/(-4170)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13007721 is divided by 410.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**2 - t**2 + 5*t**2)*(-9*t - t - t).\nAnswer: -33*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0840364 centimeters to micrometers.\nAnswer: 840.364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 41 - 39. Suppose -4*j - k = -2510 - 4685, c*j = -4*k + 3594. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*h + 4*h + 15*h + (-h + 1 - 1)*(1 + 1 - 3) - 2*h - 2*h + 5*h.\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-265 - -248) + (4 - (52 + -1)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -2*w, 3*y - 119*w - 25 = -114*w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0012942 rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**3\/7 - 1090*s**2\/7 + 19312*s + 3710176\/7.\nAnswer: 2*(s - 284)**2*(s + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80264358.\nAnswer: 2, 3, 55051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 5400796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 AM and 3:40 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-4)*8\/1. Suppose 4*t - t = g + 8, 4*t = -4*g. Suppose 2*u + t + 0 = 0. Put 4, u, o in descending order.\nAnswer: 4, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -2\/3 and 59\/4058?\nAnswer: 12174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3 - -1) + 7 + 3. Suppose -l = 5*j - 4*j - x, 5*j = -3*l + 38. What is the highest common divisor of j and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -178 = -q - 5*d - 203, -5*d = -5*q - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 336 + -a18?\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 - 9*p**2 + 8*p + 4. Does 3 divide d(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11544 is divided by 269.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1607 a factor of 24840103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -60*g**3 + 11*g**2 + 90*g + 688. Is z(-8) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**3\/3 + 100*c**2\/3 - 5*c\/3 - 100\/3.\nAnswer: 5*(c - 1)*(c + 1)*(c + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 69240 and 2260?\nAnswer: 7824120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*h**3 - 2*h**3 + 2*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4794, 19258, 43358, 77088, 120442?\nAnswer: 173414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/16*147)\/((-21)\/((-1092)\/1495) - 29).\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -2*t + 16, 10 = t - 4*s - 10. Suppose t*j - 5 = 67. What is the lowest common multiple of 20 and j?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, 0.8, -116\/3, 2\/5, -156?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38108 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 5 - 3 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 74c8 (base 16) to base 9\nAnswer: 45007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38103134?\nAnswer: 2, 23, 433, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*m = -13*m - 28. Solve 2*b = 2*q, -m*q - q + 4*b = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -146507296 divided by -36626824\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5232022483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -26216517*k**2 - 1673150*k wrt k?\nAnswer: -52433034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-196)\/147*(1 + -4). Let h be 0\/(2\/(-3)*-3). Suppose -2*v = -2*k - 5*v, 4*k = -v. Solve -m*x + k - 16 = h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2628 divided by 5278?\nAnswer: -1314\/2639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 25 - -24?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 90 + -88. Differentiate v + 31*y + 11*y**4 + 17*y**4 - 31*y wrt y.\nAnswer: 112*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3695, 10837, 22737, 39395, 60811?\nAnswer: 86985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2507727 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i + 4*i - 2*i)*(-8*i + 116 - 116).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20 - 6) + -3 + -20 + (-5 - -14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 1042*k + 1038*k - 24 = 0, 2*m - 3 = 3*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 + -6. Let o be (-3)\/((-7)\/10 - -1). Let g be 4 - 1 - (-15)\/o. Are g and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 572360 is divided by 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 0*w + w**2 - 7*w**2 + 5*w + 2 + 3*w**3 - 2*w**3. Let t be l(5). Factor n**4 + 2*n**4 + 4*n**3 + n**t + 2*n**4 + 2*n**5.\nAnswer: n**2*(n + 1)**2*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15\/(-243)*(-46)\/(-6670)*58\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 8227 - 8227 + 6*n. Let r(m) = 14*m. Give r(o(x)).\nAnswer: 84*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 329650 divided by -65930\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 336512 - -114?\nAnswer: 336626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 160*w**3 + 2 - w**2 - 157*w**3 + 3*w**2 + (-1 + 1 + 4*w**2)*(w + 3 - 3).\nAnswer: 7*w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -46 + 46. Which is the nearest to -1\/4?  (a) 1\/5  (b) 5\/2  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, j: 1, b: 2, o: 2, v: 1, y: 1}. What is prob of sequence bbjz?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 308 = -j. List the prime factors of j.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 32*n + 27. Let f = 151 - 77. Let i = f - 68. List the prime factors of w(i).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000013609715 to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -569 and 24.0835.\nAnswer: -13703.5115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17542927 is divided by 643.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2657599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2449335000 rounded to the nearest one million?\nAnswer: 2449000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 16 = -4*j, 4*a = 2*j + 132 - 40. Let b be 1\/(3 - a\/9). Suppose b*s = 3, 3*s = -l - 0*s + 161. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-15))\/((-2)\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2 + 0 - -3) + 5. Let z = 119 - 110. Solve -z = -d + 2*k - 0*k, -3*d - 5*k = w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22657, -45312, -67965, -90616?\nAnswer: -113265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -19808676 and 51.\nAnswer: -1010242476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and 8.86.\nAnswer: -17.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -156.9 + 157.2. Let l = -0.28 - 0.02. What is the second smallest value in l, h, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4865.\nAnswer: 5, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/5482 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7.6 + -2.6. Let t = n - -4. Let u = -0.7 - 0.3. What is the second smallest value in u, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(40\/(-25)))\/(-1)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/7581 and 197\/15960.\nAnswer: 303240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 8609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the third derivative of -23*l**4\/12 - 58*l**2 + 4. Let r(q) be the first derivative of -2*q**3 + 39. Determine r(b(h)).\nAnswer: -12696*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25819.\nAnswer: 25819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -13*u - 17. Let l(v) = 4*v + 6. Let g(f) = 14*l(f) + 4*x(f). What is the derivative of g(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 - 1. Solve g*p = -0*p + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.365 - -2.365. Let t = 2 + -2. Sort t, -2\/17, w in descending order.\nAnswer: w, t, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -17525, -70525, -158863, -282545, -441577?\n\"Answer: -g**3 - 17663*g**2 - 4*g + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:14 PM and 10:53 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -257*s + 6250 = -7*s for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49962?\nAnswer: 2, 3, 11, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 + 124 - 2*d - d.\nAnswer: -3*d + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 48*v - 50*v. Let u(n) = -5*n**2 + 6*n**2 + 12 - 2*n + v*n. Calculate u(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83 = -3*x - w + 6*w, -5*x - w = -101. Calculate the highest common factor of 14 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 + (-13)\/3 + 5)*18. Solve 5*r + 13 + x = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 8 - 2 = 0. Let p = -2 + d. Let q(h) = -6*h**3 - 6*h**2 - 3*h. Let c(i) = -7*i**3 - 6*i**2 - 3*i - 1. Let b(r) = -5*c(r) + 6*q(r). Determine b(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*p - 4*j - 45, -119*p + 137*p + 4*j + 90 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 118 = 5*c + a, 4*a = 2*c - 88. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/2  (b) 3  (c) -1\/11  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -29\/195 - -679\/4420. What is the biggest value in -2\/5, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -2*l - 8, w + 0 - 1 = -2*l. Suppose -24 = -2*s - l*s. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9019783703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -6673 divided by -247\nAnswer: 6673\/247","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(288)*1)\/(5*-1*sqrt(6)*-4).\nAnswer: -3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nssmssfnfsmsss. What is prob of sequence nnsn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9768761 or 9768758?\nAnswer: 9768761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**2 + 33*b + 272. Let j be u(-21). Calculate the greatest common factor of j and 2090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -128, 23, 174, 325, 476, 627?\nAnswer: 778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 825, 822, 817, 810, 801?\nAnswer: 790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1358.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 25 = -2*d, 5*d + 1 - 6 = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 132 = -124. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5389 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 2 l when four letters picked without replacement from llullulull?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**0)**(38\/3)\/((x*(x\/x**4)\/x)\/(x**(-2\/5)\/x)) assuming x is positive.\nAnswer: x**(214\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 + -38?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33828 = 1966*h + 853*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/4  (b) 1  (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 105, -69, -361, -777, -1323, -2005, -2829, -3801?\nAnswer: -4927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/((-9)\/(-3) - 2). Let p be a\/8 + 207\/4. Calculate the highest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 876 and 1752.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1421867*l**3*y - l**2 + 34919*l - y wrt l.\nAnswer: 8531202*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u**(-2\/5)\/u*u))**(-2\/13)\/(u**(1\/2))**33 assuming u is positive.\nAnswer: u**(-2173\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99)\/(sqrt(81)\/sqrt(9)) + -4*sqrt(11) + 3)*-6)**2*-4*-2.\nAnswer: -5184*sqrt(11) + 31104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 7928\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 420 = -5*w. Suppose -w*m - 21 = -63*m. Suppose m*l - 154 = 42. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -34, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:09 AM and 5:00 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/4*(-56)\/(-70)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -47009*c**3 + 285*c**2 - 2*c + 1 wrt c?\nAnswer: -282054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 493595?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b + 301 = b. Let x = b + -39. Let s be (0\/(-1))\/(-3) - -5. Solve -3*l + 7*l - y = -1, x*l - 3*y - s = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**2 + 2*i. Let d be g(-3). Let v be 28 + 1 + 4 + 1. Suppose -v = -d*a + 32. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34, 81, 132, 181, 222, 249?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/23 in -1\/5, -1\/7, -0.035623, 5?\nAnswer: -0.035623","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 78 and 52728?\nAnswer: 52728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of -10\/3*z**4 + 6*z**3 - 4*z**2 + 6*z + 3\/5*z**5 + 0. Factor x(v).\nAnswer: 4*(v - 2)*(v - 1)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1999 + 1999.1. What is the closest to w in -5, 0.17, -10, -3\/4?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -2*t**3 - 130*t**2 + 1055*t + 3393. Calculate p(-72).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2218 - 2174) + (14 - (0 + 2))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the second derivative of -j**4\/72 + j**3\/18 + 10*j. Suppose r(o) = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4598*p + 185997 = -951*p for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -322859 times 5\nAnswer: -1614295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rhrl when four letters picked without replacement from {r: 2, o: 1, h: 1, l: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1567 (base 8) to base 11.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*((s\/(s\/(s*s**(-6))*s))\/s*s)\/s)**(-1\/2)*s\/(s\/(s*s\/(s**(2\/7)\/s*s))*s)*s*s*s*((s*s**(-12)\/s)\/s)\/s*s assuming s is positive.\nAnswer: s**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + (0 - 5\/6). Which is the second biggest value?  (a) r  (b) 2\/7  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) -0.4  (c) 1  (d) 3.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1706 + 3059. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of p**3\/6 + 3*p. Let f(k) be the second derivative of 7*k**4\/12 - 1184*k. What is f(i(x))?\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -2 - (-5 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1206941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(102)\/sqrt(3)*6)\/(sqrt(2) + sqrt(10)\/(2*sqrt(5) + sqrt(5))) + -3.\nAnswer: -3 + 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/9 at least 9416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2945454649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in -7, 2, 1\/43, -0.461, 10?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1084*o = 1090*o + 48396. Let u be o\/(-888) + 1 + -10. Suppose -t - 3*c = 11, 2 - 9 = 5*t + 3*c. Which is greater: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2 - 18208891*o.\nAnswer: -o*(o + 18208891)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r**2 - 7530*r = 0.\nAnswer: -1506, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -9*i**5 - 121*i**4 + 92*i**3 + 13*i**2 - 14*i + 6. Let n(w) = -w**5 - w**4 - w**3 - w**2 + w - 2. Let s(v) = -6*n(v) - 2*o(v). What is y in s(y) = 0?\nAnswer: -11, -1\/3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(4 + (0 + sqrt(1053))**2).\nAnswer: 3171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 235*t**5 + 124*t.\nAnswer: 4700*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22.6 + -0.6. Let w = -151.425 - -0.425. Let l = -151.3 - w. Put s, 2\/7, l in ascending order.\nAnswer: l, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 142 + -25. What is the highest common divisor of o and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 - 3*j**2 - 4*j - 4. Let r be w(5). Suppose 0 = 15*l + 8 - 1958. List the prime factors of r\/l + 368\/10.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386431060 to the power of 1\/2, to the nearest integer?\nAnswer: 19658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Do 8 and 733\/86 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 5*i**4 + 13*i. Let n(l) = -14*l**4 - 39*l. Let y(o) = 11*m(o) + 4*n(o). Let w(j) be the second derivative of y(j). Let v(t) = 3*t. Give w(v(k)).\nAnswer: -108*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000571338112 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -3*sqrt(68)\/sqrt(36).\nAnswer: -sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-247)\/779)\/(-13))\/((-35)\/(-14)*12\/(-10)).\nAnswer: -1\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -906 - -908. Put -1, -4, x, -3 in increasing order.\nAnswer: -4, -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4083 and 31149?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 767 + -720 + (-23 - 3).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1010 + 1094. Calculate the highest common divisor of 432 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i - 9. Let g be t(7). Let d(a) = -2*a**2 - 2*a. Determine d(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*y + 61615*y**2 - 290391*y**2 + 3*y.\nAnswer: -228776*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-134 - 4)\/(-3))\/2. Calculate the highest common divisor of 138 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 369, 794, 1201, 1590, 1961, 2314, 2649?\n\"Answer: -9*z**2 + 452*z - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.31296 rounded to 2 dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 538 = -4*z - 1718. What is the common denominator of 4\/(-2) + z\/(-88) and -53\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -90 and 2627295?\nAnswer: 2627385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 27 = -4*h - 10, 0 = -3*h - 2*w + 11. Suppose 0 = -4*p - 2*f - h*f + 854, -p - 2*f = -215. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 66 and 0.72.\nAnswer: 66.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 41469\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 5290\/46 - (-56199)\/(-572)\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/217 not equal to -464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -1749*x + 4671. Calculate i(3).\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 9*v**3 - 2*v**2 - 30*v - 9. Let s be h(9). What is the greatest common divisor of s and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.6508, -0.5, -2\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 164420, 328342, 492264, 656186, 820108, 984030?\nAnswer: 1147952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 3*z + 4 = 0, 5*u - 3*z - 33 = 0. Suppose 0 = -2*p + u + 91. Does 39 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 4*n - 4. Let r be (18\/(-4) - 1)*2. Let a = r + 15. Let c(d) = -20*d + 20. Let v(k) = 5*k - 5. Let t(g) = -2*c(g) - 9*v(g). Calculate a*u(s) + 3*t(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 20*p**2 + 5*p - 164. Give b(-13).\nAnswer: 3151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 + 3*m - 4. Determine i(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m, 1 u, and 1 f when four letters picked without replacement from {m: 4, w: 1, u: 2, i: 3, f: 4, y: 3}?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0107809 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19626210 or 19626209?\nAnswer: 19626209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1980793 (base 11) to base 2.\nAnswer: 1100101111001101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-440)\/288)\/((-368)\/408). Let g = 5\/184 - k. Which is the second biggest value?  (a) -3\/8  (b) 1\/4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 2*v**3 - 33*v**2 - 1074*v + 17379. Calculate o(16).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1316.9 and 3107?\nAnswer: 4091608.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1a760 (base 11) in base 16?\nAnswer: 70c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 78 in -2\/17, 1\/5, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*x + 3)*(-3 + 3 - 1) + (-16 - 16 + 43)*(-32*x - 3*x + 8*x).\nAnswer: -299*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*x + 0*x + 0*x)*(-2 + 0 + 0)*(7 - 5 - x + 5*x) to u + h*x + t*x**2 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 2*t**2 - 267*t + 2711. Give c(10).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 55\/25893 - -2116985512\/129465. Let d = 16281 - h. Let j = -25483\/360 - d. Do j and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 1\/2, -4, -435\/13, 1, -0.1 in ascending order.\nAnswer: -435\/13, -4, -0.1, 0.1, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fifty-seven halves of a meter?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6460 + 6460.1. Let s = -2 - -7. Sort s, 0.4, 23, u.\nAnswer: u, 0.4, s, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ejqj when four letters picked without replacement from {e: 2, j: 6, q: 10}?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*u**2 - 11 + 11.\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -79*p - 8. Let l(j) = -79*j - 10. Give -6*l(u) + 8*v(u).\nAnswer: -158*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + i - 20695 = 25537, 0 = 4*i - 8. What are the prime factors of z?\nAnswer: 2, 3, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/24 and 14\/(200760\/129110) + 9*-1.\nAnswer: 5736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19771 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3630 and 32182370.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 288*a + 1370. Give o(-5).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:32 PM and 6:55 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 469, 2, 8, -2, -4, -79, 4 in descending order.\nAnswer: 469, 8, 4, 2, -2, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 - -6*(9 - 3). Suppose z = 8*i - 81. What is the highest common divisor of 10 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -45 - (-24 - (-34 - (29 - 51))).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (-3*(-5 + sqrt(1053)*2) - (1 + sqrt(325) + (sqrt(52) - sqrt(104)\/sqrt(2) - sqrt(13))))**2)*-3.\nAnswer: -131778 + 4872*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 987 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*j + 4*j + 2*j**4 + j + 3*j**2 to the form z*j + y + l*j**3 + f*j**4 + t*j**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**3\/4 + 65*l**2\/4 - 133*l\/4 + 67\/4.\nAnswer: (l - 1)**2*(l + 67)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -2*v + 6, -v = c - 2 - 4. Let n be ((-24)\/(-9))\/(c\/(-6)). What is the tens digit of 1\/(1 - (-15)\/n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 31.1484983 - 9.2525638. Let k = -3.1041225 - x. Let o = -25 - k. Round o to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 4) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-8)\/12*42\/(-4). Suppose 5*v - 2*j = -5*j + c, 0 = v - 3*j - 5. Solve 0 + v = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + -1145?\nAnswer: -1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 105\/(-360)*4)\/((-6)\/8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41750 divided by 835.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/(-16) + 5)*40. Let t = r + -204. What is the smallest common multiple of t and (3 - 3)\/1 - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 3*b - 21 = 0, -3*f = -5*b - 16 - 17. Solve 5*g + f*k = 4*k + 4, 3*g - 5*k + 10 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m. Let k(h) = h + 107. Give d(k(l)).\nAnswer: l + 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 163350 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w, 1 p, and 1 a when four letters picked without replacement from ttptwptpwpbwawtt?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -5, 1, -72, 0.4 in increasing order.\nAnswer: -72, -8, -5, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-7)\/g*g)\/((g**10*g)\/g)*(g*g*g\/(g**(-2\/13)*g))**(3\/7))**32 assuming g is positive.\nAnswer: g**(-6688\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -2*p**3 - 3*p**2 + 4*p - 1. Suppose -6 + 21 = 5*u. Let f = 2 + u. What is the remainder when d(-3) is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 5*a**2 - 58*a + 36. What is i(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1444 - 1406. What is the remainder when a is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 108112525.9 to the nearest one thousand.\nAnswer: 108113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g**5\/17 + 116*g**4\/17 - 1270*g**3\/17 - 3140*g**2\/17 + 1272*g\/17 + 3024\/17 = 0. Calculate g.\nAnswer: -2, -1, 1, 18, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 150669 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 - 11*m**2 + 17*m + 14. Let h be n(9). What is the third smallest value in -1, 26, h?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1897900?\nAnswer: 2, 5, 18979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -866, -4228, -9850, -17744, -27922, -40396?\nAnswer: -55178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.19 - -1.99. Let l = g + -1.73. Round l to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1633, -1514, -1323, -1054, -701, -258, 281, 922?\n\"Answer: q**3 + 30*q**2 + 22*q - 1686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(14\/(-35)*1))\/(-9*1\/(-6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 - -13. Suppose -5*n + 15 = 5*z, 3*z + 29 = 5*n + b. Is z > 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15 + 2*j**4 - 6*j**2 + 3*j**2 + 17 - j**2.\nAnswer: 2*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/((-52)\/598) - -7?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 64, 2\/9, 2\/3 in increasing order.\nAnswer: -0.2, 2\/9, 2\/3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1188 and 43403316.\nAnswer: 390629844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1768479738417027 + -1768479648198215.9999999. Let q = r + -90218807. Let w = 4 - q. Round w to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -39\/28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes before 12:35 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/12 + 3 - (-465)\/(-124))*8\/219.\nAnswer: -4\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 52 - 44. Let d(i) = -i**2 + 17*i + 18. Does 15 divide d(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of y**4\/24 + 13*y**3\/6 - 33*y**2. Let q be l(-4). Suppose -q*d + d = -1808. List the prime factors of d.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 118615, -0.5 in ascending order.\nAnswer: -6, -0.5, 118615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 5 = -y. Let p = 800 - 680. Suppose -n = -y*n + p. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -17 + 54489?\nAnswer: 54472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*(a*a**(-1\/4))\/a*a**(-7))\/(a**(-2))**45)**14)**(-7\/4) assuming a is positive.\nAnswer: a**(-16415\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 450\/7 less than or equal to 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oof?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**26*(z\/(z\/z**(3\/4))*z)\/z)**(1\/42) assuming z is positive.\nAnswer: z**(107\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (44*b - 4*b + 0*b)*(-2 + 2 - 1) to l*b + v and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 392914 is divided by 3330?\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 453 + -450. Let -4\/5 - 26\/5*m**l - 38\/5*m**2 - 22\/5*m - 6\/5*m**4 = 0. Calculate m.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18*i**6 - 39*i**4 - 174*i**2 + 6.\nAnswer: -2160*i**3 - 936*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10870)\/(-15) - (-2)\/(-3). Suppose -2*s + 6*s = -4*x + y, 0 = -4*x - s + 724. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = -2*j + 10, 133*c - 130*c - 25 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 2*h + 1. Let o = 431 - 434. Let k(v) = -2*v - 1. Calculate o*k(u) - 2*d(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1384606 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -567*l + 135 - 124 - 1619 - 1794 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3860606881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -h**5\/5 + 2484*h**4 - 51431204*h**3\/5 + 71060595338*h**2\/5 - 212205673227*h\/5 - 141813075238 = 0?\nAnswer: -2, 5, 4139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 120 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2040 is divided by 1014?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 23357*u**4*w - 6*u*w**2 + 20*w**2 - 2*w + 2537 wrt u.\nAnswer: 93428*u**3*w - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 42*-629.2\nAnswer: -26426.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/((-9)\/(-57)) + 2. Suppose -t - u = -4*t. Suppose 0 = -5*i + 57 - t. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 256.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3981*z**3 - 3995*z**3 + 7977*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00021822 to 6 dps.\nAnswer: 0.000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-45)\/(-75))\/(2\/10). Suppose j*h - 425 = 1549. Suppose -d - d = -h. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -145, -851, 3, -3 in descending order.\nAnswer: 3, -2, -3, -145, -851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 130487380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 11) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1293, -1, 5 in descending order.\nAnswer: 1293, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -i - 3*a - 24, 72 = 5*i - 3*a. Calculate the greatest common divisor of 36 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 (base 9) in base 2?\nAnswer: 10110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 PM and 1:20 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 + 7*h**2 + 6*h - 41. Let g be y(7). Let v(z) = -10*z**2 - z. Calculate v(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -20?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1131\/20 - -281\/5. What is the common denominator of u and (-2)\/11 - 1336\/(-1056)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 221*d**5\/3 - 281*d**4\/3 - 157*d**3\/3 + 277*d**2\/3 - 64*d\/3 + 4\/3 = 0 for d.\nAnswer: -1, 2\/17, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 153442 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001313 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -3*y, 3*a - 2*y + 18 = -0*y. Let v be (3 + -4)\/(a\/(-16)). Sort 7\/5, -1, v.\nAnswer: v, -1, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 53926197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 + -5.9. Let a = 0.5 + n. Let z = 4.2 + -7.2. Sort a, -0.3, z in increasing order.\nAnswer: z, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = 19*a + 79 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 + 8*l**2 - 3*l - 3. Let q be c(8). What are the prime factors of ((-14)\/(-6))\/((-3)\/q)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -51512.5451 times 0.4\nAnswer: -20605.01804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1348.7 + 1259. Let t = r - -89.699997973. What is t rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (0 - 1)*5*-7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 387186 (base 14) to base 15.\nAnswer: 284d9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 224 - 166.6. Let f = r - 38. What is f rounded to zero dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 - -8. Suppose -w - 19 = -5*u, -3*w + 3*u = -5*w + 14. Which is the nearest to -0.1?  (a) w  (b) q  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -524405 (base 7) in base 9?\nAnswer: -147015","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-4) - (-7423)\/4. Let o be x\/104 + 2\/13. Let r = -6 + o. Calculate the greatest common divisor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -153, -319, -621, -1125, -1897?\nAnswer: -3003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*z = -36*z - 224. Let p(n) = 2*n**2 + 26*n - 12. Is 13 a factor of p(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1878*y = 1866*y + 72 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 699471 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/(-4)*(-280)\/(-30). Which is bigger: 13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jvlxxxjjxjjjjx. Give prob of sequence jxl.\nAnswer: 5\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 327*m - 308*m = -114 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -10053 divided by 82956?\nAnswer: -3351\/27652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 3*r - 15, -10 = -4*d - d - 5*r. Suppose -3*m + s = -8*m + 57, -31 = -d*m + s. Let z = 30 - m. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.03 and -825.00882.\nAnswer: 24.7502646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/4  (b) 0.1309258  (c) -2\/9  (d) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1776 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.0666, -0.3, 3 in decreasing order.\nAnswer: 3, 0.0666, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**18)\/q**(-15\/4) assuming q is positive.\nAnswer: q**(-53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.13 + 8.87. Let v = s + -10. What is the smallest value in v, 1, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 63614 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16716 + -16506. Calculate the highest common factor of b and 1605.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 364.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -795768, -1591555, -2387354, -3183165?\n\"Answer: -6*u**2 - 795769*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 14*s**2 - 981*s + 8497. Calculate b(60).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 - 2)*(-6*p + 3*p - 5*p) + 4*p + 1 - 2*p + 0.\nAnswer: 26*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 732*s - 9. Let j(i) = 736*i - 7. Give -4*j(l) + 3*r(l).\nAnswer: -748*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 + 13*v**2 - v - 19. What is r(13)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -519945.3 minus -4987972?\nAnswer: 4468026.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 25*c - 36. Let k be q(7). Let u = -113 + k. What is the third derivative of 4*z**3 - 7*z**3 - 10*z**3 + 16*z**2 + u*z**2 wrt z?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/32)\/((-3)\/24)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u - 80161 = 58804 + 57275. What is the ten thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the first derivative of -2*r**6\/3 + 35*r**3\/3 - 38. What is the third derivative of q(m) wrt m?\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 44 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 (base 10) in base 16?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 4*l - 11 = 6, -5*w + 2*l + 19 = 0. Suppose -w*c + t = 2*t - 12, -2*c + 2*t = 0. Calculate the least common multiple of 1 + (4*6)\/3 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6278606?\nAnswer: 2, 3139303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 182990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-29 - 5)*117\/(-6))\/7. Let y = a - 95. What is the nearest to 0.5 in y, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 44969 - 20629. List the prime factors of p.\nAnswer: 2, 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -49 - 639*k - 87 + 136. Let q(l) = -l. What is q(y(u))?\nAnswer: 639*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 - 0 - -2 - (-164 + 164 - (0 - 5))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 133\/671 - 1\/61. Which is the nearest to -3?  (a) -1\/2  (b) -0.02  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((22\/(-6))\/((-147)\/(-294)))\/((-2)\/(-3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 - 0.4. Let k = 0.4 + t. Let s be (-6)\/4 - (-2)\/2. What is the nearest to s in k, -5, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -12*a**2 + 5*a - 6. Let s(k) = -7 - 127*k - 23*k**2 - 32*k**2 + 133*k + 44*k**2. Calculate -5*s(t) + 6*z(t).\nAnswer: -17*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1527, 6081, 13671, 24297, 37959?\n\"Answer: 1518*w**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 461, 464, 477, 506, 557?\n\"Answer: q**3 - q**2 - q + 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (27\/6 - 4)*-46*87\/8004.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 15 + 1515002?\nAnswer: 1515017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 4 = 0, -z + 0*i - i = -11. Determine o, given that z*o**2 - 14*o + 5*o**2 + 12*o**2 - 4 - 6*o**2 = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -63 greater than or equal to -1477668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/3  (b) 1  (c) -4  (d) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3339*m**2 - 376*m + 1.\nAnswer: 6678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 62967080*f**3*n**2 + 12320*f**3*n - 21*f*n - 11 wrt n?\nAnswer: 125934160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 664749944?\nAnswer: 2, 6361, 13063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/5*15 + 14. Suppose -8*c = -3*c + 20, -2*m + 306 = 4*c. What is the highest common divisor of j and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 193\/86856 and -43\/238854.\nAnswer: 955416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 46 - -52. Suppose -95*i = -98*i - 135. Let t = z + i. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -386\/15 - 128\/5*l + 2\/15*l**2.\nAnswer: 2*(l - 193)*(l + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: -16 (base 13) to base 14\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y\/y**(-6))\/((y*(y\/y**(-5))\/y*y)\/y)*y**(9\/5)*y**(1\/4))**(1\/43) assuming y is positive.\nAnswer: y**(81\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 2*b - 4. Let h be c(10). Calculate the highest common factor of h and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.02 and 99.\nAnswer: 98.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 200 and 3448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -8*u**3 - 68*u**2 + u + 31937?\nAnswer: -24*u**2 - 136*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand p - 2 + 2 + 3*p - 8*p + 3*p + (-3 + 2 + 2)*(-2*p + 4*p - 3*p) + 0*p + 4*p - 3*p + 99*p - 135*p + 633*p.\nAnswer: 596*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -43 + 71 + 478*t - 14 - 14 to d*t + v and give d.\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 25073726 to the power of 1\/2, to the nearest integer?\nAnswer: 5007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 9*l - 19. Is o(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1\/3)\/(55\/66) - 80\/75. Let l = -36.1 - -7.1. What is the third smallest value in -5, l, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 349480 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(8) - (sqrt(50) - (sqrt(50) + 2 + sqrt(50))))**2 - 1*sqrt(288)*-5.\nAnswer: 18*sqrt(2) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -7*s**3 - 13*s**2 - 47*s - 3. Suppose -51 = -12*i + 29*i. List the prime factors of h(i).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 241995 and 595?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -22065432 (base 7) in base 5?\nAnswer: -441224344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-10 + 5 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 2 + 1)*(-3 + 1 + 0)*(-6 + 6 + 2*y**2)*((-2 + 3 + 2)*(y - 4*y + 2*y) + 2*y - y + 0*y + 2 - 2 + y).\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**3 + 8*l**2 - l - 2. Let p be o(7). Suppose -880 = 8*c - 816. Let v = c + p. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n**3 + 499932687640 - 249966343823 - 249966343817.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 138383.4000011 - 138384.2. Let f = 0.8 + s. Round f to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(80) - sqrt(80)*-2)**2.\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-99 - 67*f**2 + 99)*(-3*f**3 + 0*f**3 + 2*f**3).\nAnswer: 67*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**3 + x**2 - x - 11. Let d be 31 + -4 + 6\/2. Let a = d - 30. Let y be a\/((-1 - 1) + 4). Calculate j(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06 - 270121?\nAnswer: -270120.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 925 a factor of 138698519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -62 + a?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3972774 and 749580.\nAnswer: 39727740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*k - 30*k + 120. Let d(v) = v**3 - v**2 + 4*v - 4. Let z be d(4). What is the greatest common factor of z and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1889 a factor of 6981283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2059377215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*l + 62530 = 15740. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14*2*(-2)\/28*4445\/1270?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -76 - -1244. Calculate the highest common divisor of k and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5167, -20679, -46533, -82729, -129267?\nAnswer: -186147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 2 z, and 1 y when four letters picked without replacement from {y: 1, a: 1, j: 3, i: 2, z: 4, g: 7}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 75.939 - -0.061. Let w = n + -8. Let g = 51 - 51. Is g greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 10 = -11*r + 10*r, 5*r = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -787 = 2*v + 199. Let c = -331 - v. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -19 + (30 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 1213*q + 31 + 26 + 35 - 84 in the form y*q + r and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i**3 - i**3 + 7*i**4 + 0*i**3)*(-137 - 123 + 240).\nAnswer: -140*i**4 + 20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - -1180822?\nAnswer: 1180824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 12 = -n. Suppose -2*t + 16 = 2*o, 11 + 5 = n*o. Solve -3*b - b = -4*a + 8, 8 = t*a + 4*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 4*a, -a = -1 + 3. Let o(i) = 3*i**2 + 1. Let w(q) = 4*q**2 + 1. Let t(y) = -7*o(y) + 5*w(y). Determine t(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(0 + (-4)\/356) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*2*sqrt(136) + 4*(sqrt(136) + 1*sqrt(136) - sqrt(136) - sqrt(136)))\/((sqrt(88)*2)\/sqrt(11) - sqrt(80)\/(sqrt(40)\/sqrt(4))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -3*j - 3. Let g be x(-2). Let l = -6 + 8. Suppose 3*q = -g*t + 102 + 129, l*q - 142 = -5*t. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - f - 15 = 0, 12 + 6 = q + 2*f. Let v = 67 - 80. Let r = 18 + v. Solve -4*t + r*z = z - q, 2*t + 3*z + 2 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 - 4*x**2 + 9*x - 3. Let y be h(3). Let s be y\/25 - 62\/(-5). Find the third derivative of 8*i**4 + 3*i**2 - 3*i**2 + 5*i**2 + s*i**2 wrt i.\nAnswer: 192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7544027 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -270.9 and -3.\nAnswer: 812.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31503 + 12597 = 23*m. Let z = -808 - m. Calculate the remainder when 461 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*p + 16*p = -55. Let s(t) = -t**3 - 7*t**2 - 8*t + 2. Let k be s(-6). Calculate the remainder when 6\/21 + 598\/k is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fll when three letters picked without replacement from fbxbbxlxlxr.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*h - 2*h = -53 - 18 - 13 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -47676 - -91479. Let t = o + -15752. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 + 2706 + (-188)\/(-1034) + (-13)\/11. What is the highest common divisor of b and 858?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4542253 (base 7) to base 12.\nAnswer: 233001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2505*v**2 + 31*v + 620177?\nAnswer: -5010*v + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (36\/24 - (2 + -1))*10. Sort 2, r, 1 in decreasing order.\nAnswer: r, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 2 = 2*c, -v + 5*v - 37 = 3*c. Suppose -29*k + 21*k = -32. Let g be 4 + (c - (k - 8)). Solve 2*q + g = 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((-2*sqrt(972) - sqrt(972)) + sqrt(972)))**2*5.\nAnswer: 311040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4573 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111*r + 957 = 114*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 236 + -231 + (-4 + 13 - 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 5:11 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 11*s. Let d(r) = 2*r + 1. Let u(q) = 2*q - 3. Suppose -5*h + 1 = 4*n, -5*n - 3*h + 3 = 5. Let m(i) = n*u(i) - 3*d(i). What is c(m(x))?\nAnswer: -88*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3508 is divided by ((-116)\/(-290) + 11\/(-15))*-234?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a**3)\/a)\/a)**(-46)*(a\/(a*a**(-4)*a*a))**37 assuming a is positive.\nAnswer: a**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5247 - -5245.1802. What is f rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q - 7*q + 22*q)*(-5 + 8 - 2)*(9*q - 9*q + q**3) + 4*q**4 - 3*q**4 + 0*q**4 + (-q**3 + 4*q**2 - 4*q**2)*(0*q + 2*q - 4*q) - 2*q**2 + 2*q**2 + q**4.\nAnswer: 21*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25594 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.069 and 20.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 16843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -604*v + 2476 = 337*v - 17285 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -225*u + 1035 = -234*u. Let d(p) = p**3 + 3*p - 3. Let w be d(-4). Let l = w - u. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -25495 + 25495. Is g at least as big as -24\/2305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(480)*1*-3)\/sqrt(10))\/((sqrt(4) + (sqrt(100) - sqrt(100)*-1))*6).\nAnswer: -sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8727 divided by -14.\nAnswer: 8727\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14 (base 8) to base 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 3:51 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from kjjkkkkjjkkkkj.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-34)\/18 + (-1)\/9. Let b = 1 - 1. Which is smaller: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*n + 0*n - 8*n - 3*n + 14*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 - 1. Suppose u = r - 5*r + 16. Let i be 3 + 3\/(6\/4). Solve -i = -z - 4*z, -5*w + r*z + 16 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -485, -481, -477, -473, -469, -465?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -2*b + 393, 9*b - 4*b + 84 = -t. Let d = 82 + t. Solve -5*j + 0*j - 20 = -5*p, -d*j + 5*p - 16 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 572\/(-2142) + 20040\/85170.\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 91 + 103 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 619 + -635. Let y = 682.06 + -666. Let h = b + y. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -6 + (-8 - -8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -1472*p. Let x(r) = -134*r. Give 3*k(v) - 32*x(v).\nAnswer: -128*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 16 = 6*o - 3*o, -4*h + 4*o = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - 3. Let l be -4 + (0 - 1) + 2. Let x = 1 + l. Sort -1, b, x.\nAnswer: b, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*h = -38*h + 107*h - 1036 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*p - 3*p + p + 0 - p + 0 - 6 - 6*p + 6 + (p - 3*p + 4*p)*(0 - 1 + 3) - 5*p + 4*p - p + 2*p + 5 - 2 - 4.\nAnswer: -5*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 678 * 0.1.\nAnswer: 67.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - (2 + 13) - (-16 + 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (14*v - 6*v + 12*v + (1 + 2*v - 1)*(0 + 3 - 2))*(2 + 0 - 1)*(3 - 5 + 7) as b + r*v and give r.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 2*k**2 + 6*k + 5. Let y be g(-2). Sort 3\/7, -0.4, 2, y in ascending order.\nAnswer: -0.4, 3\/7, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5\/2?  (a) 8  (b) 0.11  (c) 15  (d) 5  (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3898 - 3622 = -10*r. What are the prime factors of r?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 22332*h**3*l**2 + 52*h**3 - 945846802*l**2 wrt h.\nAnswer: 66996*h**2*l**2 + 156*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 4) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6788 or 6787?\nAnswer: 6787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 235 divide 35183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 8, 2\/13, -1\/2 in descending order.\nAnswer: 8, 2\/13, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3  (b) 3.4  (c) -2\/7  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let -t**5\/5 + 66*t**4\/5 - 38*t**3 + 12*t**2 + 191*t\/5 - 126\/5 = 0. What is t?\nAnswer: -1, 1, 2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/4730 and 113\/110.\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -172918170, -345836342, -518754514?\nAnswer: -691672686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 4*m + 1 = -3*m, 5*m = h + 5. Let d be h + 2 + (-150)\/(-5). Let t = d - 13. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 127, 34, -43 in decreasing order.\nAnswer: 127, 34, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**7\/a*a*a)\/a**(-5))\/(a*a**(-1\/4)\/a)**(-16)*(a**(5\/4)\/(a*a\/(a**(-4\/7)*a)*a*a*a))\/((a*a\/(a*a**(-3\/8))*a)\/a**(2\/17)) assuming a is positive.\nAnswer: a**(3257\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 18922439 or 151379511\/8?\nAnswer: 18922439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 63560*y**2 + 163*y - 488. Is u(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2*d**3 - 206*d**2 + 790*d + 225. What is v(99)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (9 - 33 + 158)*(-22*l**3 - 9 + 9) as m*l**2 + z*l**3 + q*l + i and give z.\nAnswer: -2948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 15*t**2 - 1. Let c be o(-1). Suppose 85*j - 84*j = -3*u + 30, -j - 50 = -5*u. Is u less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17 + 21*f - 17*f + 1 + 16.\nAnswer: 4*f + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 41072579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1750 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -61 + (9 + -15 - (28 + (-22 - 7)))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -61.1 and 0.4?\nAnswer: -24.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 615545 and 3568355?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 75\/(-30)*12\/(-3). Solve 74*w - s = 79*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2990, -14 in descending order.\nAnswer: 2990, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2 + 3*f + 4. Let i be m(-3). Let n = -2.03 - -2.2. Let x = 4.83 + n. What is the second biggest value in x, i, 2\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z = -3*o + 15, -5*o + 3*z + 11 + 4 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 3 = -3*t, -t - 1 = 5*k - 0*k. Sort 2\/5, -0.3, t.\nAnswer: t, -0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2167)\/(-1379) + 12\/((-252)\/201).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -834 + 1673 + 24841*v - 839.\nAnswer: 24841*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15*-2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 38 + -37.3. Put -1\/5, 4, -0.5, i in decreasing order.\nAnswer: 4, i, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 179 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 329041 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 54384 and 220.\nAnswer: 271920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6761 - 383 = -8*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2407\/60 + -161\/4. Let f = -0.128 + 5.128. Which is the nearest to -0.1?  (a) -0.2  (b) q  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express n + n - n + 32 - 32 + 2*n + (0 - 3 + 5)*(3*n + 0*n - 2*n) as v + b*n and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*u - 4*u + 2*u)*(-13*u + 1 - 1) in the form o*u + r*u**2 + n and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 26\/5 of a millennium?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*h**2*i*k + 23*h*i**2*k + h*k - 8*i**2 + 12*k wrt h.\nAnswer: -4*h*i*k + 23*i**2*k + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 34 = -5*f + 30, -4*x + f = -64. Suppose 3*r - x = 14. Factor -6*h**2 + 0*h**2 + r*h**2 + 4*h.\nAnswer: 4*h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1300162743 is divided by 791.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + -0.1. Let w = 0.06 - -0.14. Let k = w + -0.2. What is the second smallest value in n, k, 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5537 is divided by 103.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 13*c + 0)*((0 + 6 - 5)*(-2 + 2 - 1) + 2 - 2 - 1).\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 2902*h**2 - 589106*h - 2. Calculate s(203).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.695 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ipooddt. Give prob of picking 1 p and 2 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 39 and 2496?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + 3 + 9. Suppose 0 = -2*l + l + i*h - 13, -20 = -4*h. Let r be l + 6\/(-3) - -5. Which is the smallest value?  (a) r  (b) -0.5  (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3125 - 1283?\nAnswer: -43a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 6\/5, -6\/2789, -23?\nAnswer: -6\/2789","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h + 3. Let l(b) = 1. Let y(t) = -3*l(t) + z(t). Let o(f) be the second derivative of 5*f**4\/12 - f. What is y(o(d))?\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -21215 divided by -1157?\nAnswer: 21215\/1157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0893 rounded to three decimal places?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -479.17 and 0.3?\nAnswer: -143.751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -57, -61, -65?\n\"Answer: -4*m - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, j: 1, x: 2}. Give prob of sequence jxss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmd. What is prob of picking 2 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 24\/121 and (12\/(-15))\/(-4)*1869\/1386.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-15)\/9*(-6)\/4. Let m(j) be the first derivative of -z*j**2 + 4 + 0*j. Let d(g) = 3*g**2. Determine m(d(n)).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + -3. Suppose l = h + 5*v - 15, h - 7 = -3*v + 6. Suppose -4*k = -4*r + 12, -4*r = -2*r - 3*k - 1. What is the smallest common multiple of h and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 105867.2cm in nanometers?\nAnswer: 1058672000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -109?  (a) 5  (b) 0.3  (c) -0.3  (d) 0  (e) -93\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 4 + 2)*(799 - 401 - 64*u - 399) as b + z*u and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14b (base 14) to base 7.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + 7 + 0 - (-5 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/9*((-75)\/(-4))\/(-25)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/15 + -1 + 42\/30. Let w = 0 + 0. Which is the closest to w?  (a) -1\/7  (b) z  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**3 + 13*p**2 - 17*p - 39. Let f be i(-14). Solve -f*q = 2*c + 2, 0 = -5*q + c + 4*c - 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1000100010110010 (base 2) to base 15.\nAnswer: a57e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (10\/(-8))\/(1\/(-4)). Suppose 0*k - x*k + 105 = 0. Does 21 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*g + 582*g - 43*g)*((-5 + 1 + 2)*(g**2 + 2*g**2 - 4*g**2) + 2*g**2 + g - g).\nAnswer: 2108*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2056911 divided by 685637?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 156 and 3.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 439 - 869\/2. Let d(f) be the second derivative of i*f**2 + 0 - 4*f - 4\/3*f**3 + 1\/12*f**4. Calculate d(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes before 1:08 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 564536264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1417568323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0080068038 rounded to four dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, v: 2, j: 1, o: 2, w: 4}. What is prob of sequence whoh?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (23 - (32 - 17)) + 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135 = 14*j - 961. Calculate the remainder when j is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27, -32, -37, -42?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q**2 + 4*q - 1. Let u be s(-5). Let c(y) = -9*y - 57. Let g be c(-6). Is (-116 + 5)*u\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 8, j: 2, u: 2}. What is prob of picking 2 j and 2 u?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1*18385910\nAnswer: 18385910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = w + 26, -3*w = -0*l - 2*l - 6. Let r be 8 + l + (0\/1 - -3). Suppose i - 12 = -r*i. Solve i = 5*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3867600 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of -5*b - 2\/15*b**6 + 0*b**5 + 1\/6*b**4 + 0*b**3 + 0 + 0*b**2. What is the third derivative of a(f) wrt f?\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 447311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 - 149*m - 786. Give v(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*l**(-8\/5)*l**4*l)**(-19) assuming l is positive.\nAnswer: l**(-513\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + x + x + 9 = 0, 5*p - x - 12 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -32*v - 2. What is the units digit of a(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 869965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 271623828*b**3 - 756*b**2 - 28094*b?\nAnswer: 1629742968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-1 - -5)*(9 - (-5583)\/12) is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**3 - 74*v**2 + 720*v - 648.\nAnswer: 2*(v - 18)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 147543 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 265 a factor of 12190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1134, -2265, -3396, -4527?\nAnswer: -5658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1278.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 120 and 552?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3878.\nAnswer: 2, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/6, -2\/7, 0.1, 117?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 201674 (base 9) to base 15\nAnswer: 2558a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 193460095.55312 + 0.5.\nAnswer: 193460096.05312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 261272293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.0611 times 68\nAnswer: -4.1548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -376.6 + 381. Let n = k - 4.42926. What is n rounded to three dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2427383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 28559 times -39\nAnswer: -1113801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 618666890 and 14?\nAnswer: 4330668230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of -f**5\/10 + 5*f**4\/6 + 39*f - 10. Let p(j) be the first derivative of t(j). Solve p(g) = 0 for g.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 - 4*s**2 + 3*s - 8. Let c be a(4). Suppose -127 = -c*t + 57. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6830418 by -3415209.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*-7 + ((-1066)\/(-104))\/((-33)\/(-12))?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 135841178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4037?\nAnswer: 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 29196 or 33904?\nAnswer: 29196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/16)\/(30\/8)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3133 (base 6) in base 9?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -2 + 6. Let r be (1 - -3)*l\/(-18). Let t = -3 + 1. Which is the smallest value?  (a) -2\/21  (b) t  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.01, 0.2, 1, 2, 4\/5, 4\/83, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5368 + 7211. What is the greatest common factor of h and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27 + (4 - 10 - 46)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 19 = 3*l + 2*q, 0 = -4*l + 2*q + 16. Suppose 3 = -l*d + 28. What is the third derivative of 52 - 52 + d*u**2 + 13*u**3 wrt u?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9.4 + 9. Suppose -2*x + 2*v - 3*v - 10 = 0, -4*x - 3*v - 18 = 0. Let z be (-3)\/(-2) + 4\/x. Which is the third smallest value?  (a) z  (b) 2  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 9179 = 3*h, -1276 = -2*h + 4*c - 7400. Let a be ((-762000)\/9)\/(34\/h). What is a rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -123 - (116 + -38 + -131)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the third derivative of 5*i**5\/3 - 53*i**4\/6 + 4*i**3 + 977*i**2. Factor q(p).\nAnswer: 4*(p - 2)*(25*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-2*(sqrt(112) - (sqrt(112) - (sqrt(112) + 1))*-3)**2*3*1 + -4)*-2.\nAnswer: -288*sqrt(7) + 1456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.64 + -0.64. Which is the closest to 1\/5?  (a) 5  (b) t  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((0 - 2) + 64)\/(-3))\/((-170)\/(-255))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 109 and 8829?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -679\/5 - -4713\/35. Which is the third smallest value?  (a) -3\/5  (b) v  (c) 19  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-150)*87\/58\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*c = -c - 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/2160 and 11\/30.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -271*c - 1. Let n(s) = -13407*s. Determine m(n(o)).\nAnswer: 3633297*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/((98\/4)\/(-7)). Which is the nearest to -0.1?  (a) u  (b) 0.01  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 2*m = -54. Let s = 53 + m. Does 15 divide s + (1 - -47) - (3 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*n = -24*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 44, 126, 302, 602, 1056, 1694, 2546?\n\"Answer: 5*s**3 + 17*s**2 - 4*s + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 5 - 8) + 6 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/((-7)\/14)*2. Let k = -93 - -99. Let n(w) = -2*w**2 + 12*w + 8. Let x be n(k). Does x = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 6. Let j(h) = h**w + 7 + 2*h**2 - 4. Let o(x) = -5*x**2 - 5. Give -7*j(s) - 4*o(s).\nAnswer: -s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 32188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.1 and 2.66?\nAnswer: -5.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:43 AM and 1:29 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p - 6. Let n be q(11). Suppose -2*r = 4*u - 0*r - 16, -5*r = -n*u + 5. What is the third derivative of 2*w**2 - w**2 + u*w**4 - 4*w**4 wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 3*b + 15. Suppose -233*d + 12 = -235*d. Let y be f(d). Let z be (-2)\/4*0\/y. Do -98 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5632422 (base 11) to base 3\nAnswer: -200120111202011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 914053.8 times -0.1\nAnswer: -91405.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i**5\/9 + 16*i**4\/9 - 116*i**2\/9 + 158*i\/9 - 20\/3 = 0 for i.\nAnswer: -6, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 PM and 7:59 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**3 + 3*f**2 + f + 1. Let u = -52 + 55. Determine l(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of -1\/12*f**4 + 0 + 0*f**3 + 5*f + 0*f**2. Let t(m) = -8*m. Determine v(t(y)).\nAnswer: -64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 - d - 2. Let h(j) = -114*j**3 + 2*j**2 + 4*j + 300. Let u(v) = h(v) + 2*m(v). What is the second derivative of u(a) wrt a?\nAnswer: -696*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -109814, -219567, -329300, -439007, -548682, -658319, -767912?\n\"Answer: d**3 + 4*d**2 - 109772*d - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5 - 2)\/(-3) + 2. Suppose z = -2*f - 0*f + 14, -f + 17 = 3*z. Let k(a) = a**3 - 4*a**2 + a - 4. Let d be k(z). Sort -5, d, j in decreasing order.\nAnswer: j, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -10*o**2. Let b(a) be the first derivative of 2*a**3\/3 + 3. Determine g(b(r)).\nAnswer: -40*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23, 4, 2, -5 in decreasing order.\nAnswer: 4, 2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 + 4*r + 3. Let s be c(-3). Solve s*d + 5*d = 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ikkxixliix?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 208 or 225?\nAnswer: 225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i, -2*i + 0*i - 10 = -2*m. Suppose 9*k - m*k = 0. Solve -3*l + 3 = -k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 152025 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 493 = -3*a - a, 0 = -4*a + g + 487. Is 36 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 958035 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4 + 0 + (-69)\/(-3). Let p = n - 7. What is the greatest common factor of 220 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00025048 to five dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 41162267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -785, -1569, -2353, -3137, -3921?\nAnswer: -4705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 22602 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4935*h**2 - 4935*h**2 + 2*h - 2*h**3 + 9872*h**2 - 3 + 1 - 105*h**4 to the form k*h**4 + s*h**2 + p*h + f*h**3 + x and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -336*d*m**2 + 60*d*m + 12*m**2 + 335377 wrt d.\nAnswer: -336*m**2 + 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11.66839 - 11.68. What is b rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, 968, -17 in ascending order.\nAnswer: -17, -2, 0, 968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 3481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 21408\/1632 + (-55)\/5. Factor -2\/17*p**2 + z - 6\/17*p.\nAnswer: -2*(p - 3)*(p + 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -0*p - 15. What is the remainder when 44\/(-176)*(-131 - 1) is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-99265)\/119118*(2\/(-10))\/((-1)\/(-12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 202371 + -26375?\nAnswer: 175996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -5*v**2 + v. Suppose -201 = 25*h + 42*h. Let s(r) = -15*r**2 + 3*r. Determine h*s(m) + 8*g(m).\nAnswer: 5*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 123143143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggktccucuc. What is prob of sequence tu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -113  (b) 1\/12  (c) 3\/2  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*y + 67*y = 551 - 67 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -91 - x**2 + 70 + 21. Let v be 3 + (0 - 2) - 8. Let y = -6 + 9. Let z(c) = -2*c**2. Give v*w(h) + y*z(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3644831604?\nAnswer: 2, 3, 303735967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/84912 and -1\/276.\nAnswer: 1952976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 4*z + 4 = 0, 3*d - d = 2*z + 8. Suppose d*m = -m + 18. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 (base 4) in base 15?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*p - 141 - 75 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10947.\nAnswer: 3, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/(b*b\/(b*b*b**(2\/3)*b))*b**(-4)*((b*(b**(-2\/7)\/b)\/b*b)\/b)**(2\/17)*b**(-4)\/(b\/((b**8\/b)\/b))*b**(-7)\/(b**4*b) assuming b is positive.\nAnswer: b**(-4457\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.76 times -84?\nAnswer: 147.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 432?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 7:30 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the third derivative of q**6\/120 - q**5\/15 - q**4\/8 - 5*q**3\/6 - 17*q**2. What is d(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19377, -19923, -20469?\nAnswer: -21015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*n - 41*n = -90 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 311 divide 3069073389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(19)*-6 - sqrt(19)) + -1*sqrt(1900) + sqrt(38)\/(sqrt(24)\/(sqrt(1452) + sqrt(12)) - sqrt(2)) + -2.\nAnswer: -199*sqrt(19)\/11 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2002101 + -10?\nAnswer: 2002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the third derivative of 1465*d**6\/24 - 683*d**4\/12 - 216*d**2 + 3*d - 2. Find the second derivative of c(q) wrt q.\nAnswer: 43950*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43996 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - -2)*3\/9. What is the first derivative of -7*n**4 - 6 + 3*n**4 - 4 + m wrt n?\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32*t + 3*t + 5*t)*(-t - t + 11*t)*(2 + 0 - 1).\nAnswer: -216*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 2997*r. Let a(y) = -4*y**2. Determine x(a(g)).\nAnswer: -11988*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.053 * 700\nAnswer: 37.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3038\/9 + 21335\/63. Let f = 3\/7 - v. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 14*c**3 - 17*c - 48. Let l(a) = -9*a**3 + 11*a + 32. Determine 5*d(q) + 8*l(q).\nAnswer: -2*q**3 + 3*q + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 351016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26 + 46*f**2 + 80*f**2 - 21)*(0 + 3*f + 0).\nAnswer: 378*f**3 + 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxxxxx. What is prob of sequence xxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 174 and 300?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 13, m: 3}. What is prob of picking 1 q and 1 m?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, 1, -43, -2 in decreasing order.\nAnswer: 1, -1\/4, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*x - 30412*x**4 - 19*x**3 + 60830*x**4 - 30416*x**4 + x**2 + 9 in the form j*x**4 + w*x**3 + k + b*x + a*x**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-39 - (-40 + 41)) + 55 + -2 + 7\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = t + 2, -3*t = -3*a - a + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gggaggag. Give prob of sequence gaag.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 - 9*i**2 + 21*i + 6. Determine o(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y - 4*j - 1 - 3, 0 = 2*y + j + 3. Let z be 0\/(5 - 5 - y). Solve 0 = -z*w - 5*w + 4*d + 27, -3*w + 4*d = -21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1373, -1374, -1375?\n\"Answer: -f - 1372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 2) + (-36 - -26) + (-2 - -4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(432) + -3 + -2)*-3 + (-1*sqrt(432)*-6 - (-3 + 1*sqrt(432))) + -2)**2.\nAnswer: 768*sqrt(3) + 1984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -c**4*r + c**4 - 2095*c**3*r - c**3 - 82*c**2*r - 7*c*r - 3*c + 2*r wrt c.\nAnswer: -24*c*r + 24*c - 12570*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 83137135 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -w. Suppose -2 = -5*x + 3*m, x = -3*m + 4 - w. Let p(k) = -2*k**2 - 7. Let c(a) = 1. Calculate x*p(n) + 5*c(n).\nAnswer: -2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 989912417 to the power of 1\/4, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 3 q when four letters picked without replacement from qvjqq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1\/14  (b) 1\/8  (c) 0.08  (d) 0.3  (e) -22  (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 159.21 - 168. Let m = 10.004 + v. Let q = 1.2 - m. Round q to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 114333*h**4 + 300*h + 6?\nAnswer: 1371996*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/10 + (-81)\/(-15). What is the second derivative of 0*m**5 + 5*m - 5*m - m**h - m wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -366, 9, 0, 3 in ascending order.\nAnswer: -366, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, -0.06, -1\/3, 44, -0.28?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1210, 4, -3.4, 3 in decreasing order.\nAnswer: 1210, 4, 3, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9393*k - 2332*k - 2579*k - 3089*k - 4422*k.\nAnswer: -3029*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 41*i**2 - 2*i - 7. Let a(d) = -62*d**2 + 3*d + 10. Give 5*a(k) + 7*y(k).\nAnswer: -23*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.02 - -0.08. Suppose -2 = 3*w - 8. What is the third biggest value in c, w, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1, 12818, 3, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in nine tenths of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 928 and 1568.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 1  (b) 0  (c) 13\/17  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mt when two letters picked without replacement from {m: 1, t: 1, o: 3, x: 1, y: 1, k: 6}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 668 - 3271?\nAnswer: -2603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.0318 - 1.\nAnswer: -2.0318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.07 in 4\/5, -5, -685, 1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8404869307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 7376 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: Convert -31969 (base 11) to base 16.\nAnswer: -b552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 3*n = 0, -3*t + n + n = 0. Suppose -g + 0 = 2. Put g, t, 2 in descending order.\nAnswer: 2, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.19 + -0.71. Let b = -1 - h. Let o = -0.2 - b. Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + 3*t - 2 = 0, 5*q + 5*t + 30 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 9\/145, -0.5, -7, -5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 684 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 AM and 9:26 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0006586418 rounded to 5 decimal places?\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1\/(-11) - -4*(-11122092)\/(-1584).\nAnswer: 2, 3, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 25*v**2 - 29*v + 64. Calculate the least common multiple of 18 and o(3).\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**2 - a - 3. Let u be t(0). Let n be 1767\/285 + -3 + 1\/(-5). Let g(h) = 33*h**2 - h - 1. Let p be g(-1). Sort u, p, n, 0 in increasing order.\nAnswer: u, 0, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5434756186?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (24\/10)\/3 + (-1365)\/1300. Sort 2\/5, -0.33, p in ascending order.\nAnswer: -0.33, p, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 6, i: 13}. Give prob of picking 2 i.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -6762, -6328, -5606, -4596, -3298, -1712, 162?\n\"Answer: 144*d**2 + 2*d - 6908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -25676 smaller than -25676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 28 + 0 + -6 + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 a factor of 303571104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, -4, 6, -0.2 in increasing order.\nAnswer: -4, -2\/5, -0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -3*w + 16, 239 = 3*o + 5*w. Suppose -o = v - 20. Let g = v - -77. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11 + 5 + d**2 - 11*d + 4 - 47*d + 2*d**4 in the form w*d + g*d**4 + r + b*d**2 + y*d**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes after 4:49 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + 12. Suppose -3*m = -1 - 11, -3*b = m - 190. What is the smallest common multiple of w and b?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 16*r. Let f(x) = -390*x**2 - 2. What is w(f(g))?\nAnswer: -6240*g**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38256.\nAnswer: 2, 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9865505 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 4\/3  (b) 1\/4  (c) 11  (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 366367 is divided by 101?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4465231871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 108 and 1706.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*z - 176 + 108 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/2773 or -1366?\nAnswer: -1366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 4*j + 43 = 0, -4*b - 141 = -2*j + 17. Let l = b - -89. Suppose 22*f = 27*f - l. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 223608 and 319440?\nAnswer: 2236080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 4 * -2694\nAnswer: -10776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2 + 10*z + 15. Let j be m(11). Suppose -2*k + 14 = -0*q + q, -4*q - 4 = -j*k. What is the remainder when 6 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/276190 and 43\/8672366?\nAnswer: 43361830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 275 + -4 - 105\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 AM and 6:27 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3*(-8)\/(-108) - (-1292)\/18. What is the greatest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 5  (b) -1\/3  (c) -3\/2  (d) 1  (e) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1)\/(-1))\/(3\/(-12165)). Let l be (-4144154)\/(-364)*1\/f. Let v = l - 2\/52715. Calculate the common denominator of -149\/18 and v.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24 - (0 + 0 + (-27 - -34))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five eighths of a century in months?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(1\/2))**32\/(w**3*w**(-3\/7)*w*w))\/((w\/(w\/(w\/w**3))*w*(w\/(w\/w**(-1\/2)))\/w)\/(w**0*w*w)**(-8)) assuming w is positive.\nAnswer: w**(-29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 4 = -4*z + 6, k = -3*z. What is the lowest common multiple of k and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**20\/(f\/(f\/((f*f*f**(12\/7)*f)\/f))))\/(f*f\/(f**1*f*f)*f*f*f**(-2)\/f*f*f) assuming f is positive.\nAnswer: f**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-45)\/(-20))\/3*-64. Let w = 57 + p. Let f be 9\/w - 118*-1. Calculate the highest common divisor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 783768986 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-5\/11)*q\/q**(-1))\/(q\/(q\/(q*(q*q*q**(-1\/6))\/q))*q)**(-6\/17) assuming q is positive.\nAnswer: q**(28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 - k - 1. Let y be f(0). Let j be 1\/((-3)\/y + -2). Is -1\/17 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2*m**3 + 11*m**2 + 158*m + 27. What is the remainder when y(11) is divided by 370?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the third derivative of y**7\/105 + 1019*y**6\/120 - 7687*y**3\/6 + 326*y**2 + 5. Differentiate u(q) with respect to q.\nAnswer: 8*q**3 + 3057*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 3*u - 348, -93 = -u + 5*k + 9. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 + 3*b**2 + b - 3. What is g(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.2 + 0.5. Let n = -0.1 + g. Suppose 0 = -7*w + 6*w. Which is the third smallest value?  (a) n  (b) w  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -16*n + 64*n**4 - n**5 - 19*n - 2*n**2 + 30*n wrt n.\nAnswer: -60*n**2 + 1536*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21)\/(-21)*((-24)\/80)\/(2\/30)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 26912\/11 + 2\/11*r**2 - 464\/11*r.\nAnswer: 2*(r - 116)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*t**2 + 7*t**2 - t**2 + (-t + 0*t + 3*t)*(-20 + 20 + 2*t) to s + z*t**2 + v*t and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21210*m - 2952747 + 2952747 to u + y*m and give y.\nAnswer: -21210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 26\/39*(-3)\/(-2). Suppose -20*p - 41 = -121. Let a(f) = -f**2 - 4*f - 2. Let c be a(-4). Sort b, 2, c, p in increasing order.\nAnswer: c, b, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + -4. Let v be ((-12)\/8)\/((-6)\/8). Let d be (-12)\/(-14)*v\/6. What is the second smallest value in -3, d, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 23976 and 10331550?\nAnswer: 1529069400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1913 + 3818 - 2*w - 1871 + 0*w to o*w + i and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p = 3*p + 224. Suppose 11*r = -1 + p. Solve -d = 3*a + d, 0 = -r*d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 11:23 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 + 1)*(-129098 - 4*r**2 + 128909 + 3*r**2)*(-r - r - r).\nAnswer: 6*r**3 + 1134*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3814 - 126. List the prime factors of j.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 41*q**2 + 14*q**2 + 58*q**2 + 21*q**2 to o + u*q + x*q**2 and give x.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n**5\/2 - 28*n**4 + 121*n**3\/3 + 6*n**2 - 27*n\/2 - 10\/3 = 0. Calculate n.\nAnswer: -20, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -3, 0.1, -2\/19, -22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 18\/433 and 64\/15?\nAnswer: 6495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -168*o**2 - 2*o - 2. Let h(s) = -s**3 + 3*s**2 + 3*s + 1. Let l be h(4). Let p = 1 + l. Let t be q(p). What is t rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.3  (b) -635058  (c) 8  (d) -4  (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 7*t**2\/4 - 6211521*t\/4 = 0. Calculate t.\nAnswer: 0, 6211521\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.9 + 5. Let l = -3\/32 - 21\/32. Which is the closest to 1?  (a) -0.2  (b) o  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 8:40 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3819 + -2125. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 7400*k. Let x(o) = o**2 - 8*o + 24. Calculate y(x(f)).\nAnswer: 7400*f**2 - 59200*f + 177600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(3\/8)\/x*x**(-7)*(x**1)**24)**(1\/46))**(-2\/149) assuming x is positive.\nAnswer: x**(-131\/27416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 3*h = -411, -286 = -2*a + 4*h - 3*h. Let s = a - 136. Solve 4*u - 16 = 4*j, 2*j + 20 = -0*j + s*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of -51*b**7\/14 - b**5\/20 + 101*b**3\/2 - 2*b**2 + 64. What is the third derivative of f(g) wrt g?\nAnswer: -18360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 2*a**2 - 3*a + 1. Let s be u(3). Let m = -5 + s. Suppose 5*d + 2 = -5*b + 27, m = d + 5*b. Solve -d = 5*o - 0*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(1\/12))**(3\/7)\/(y*y**6)**(-42))**(22\/5) assuming y is positive.\nAnswer: y**(90563\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 17*j**3 - 2*j**2 - 8*j - 4. Calculate b(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = f - 1, 3*f - 2*c = 6*f - 31. Solve 5*j - 12 + 32 = 5*x, -4*j + x - f = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11375 and 16952000.\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(7*12\/(-1050)*5).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6358*g**3 - 3180*g**3 - 3176*g**3 - 10.\nAnswer: 2*g**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**2 - 2. Let q be 10*(-1 + (-6)\/(-5)). Let i be j(q). Factor -1\/3 - d + d**3 + 1\/3*d**i.\nAnswer: (d - 1)*(d + 1)*(3*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -15*h**2 - 3. Let w(m) = 55*m**2 + 135*m + 14. Let a(o) = -27*o**2 - 81*o - 7. Let f(c) = -5*a(c) - 3*w(c). What is -6*f(n) + 14*u(n)?\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - 4*v + 39, -2*v + 21 = 46*n - 43*n. Let l(b) = -b**2 - 5*b. Let f be l(-5). Solve f = n*h - 2*o + 16, o = -0*h + h + 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(162)*1)**2 - (sqrt(162)*1 + 4) - (0 + -3 + sqrt(162) + -1)) + -3.\nAnswer: -18*sqrt(2) + 1455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32, -48, -62, -74, -84, -92?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**13*z**(-20))\/((z*z\/(z*z*z\/z**19*z*z))\/z**(-1\/18)) assuming z is positive.\nAnswer: z**(-415\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, 146, -1 in decreasing order.\nAnswer: 146, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/4)\/((-11)\/220*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 10 - d + 7*d - d - 28. Let o be p(4). Find c such that 0 + c**o - 1\/7*c**5 - 9\/7*c**3 - 2\/7*c + 5\/7*c**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 2*s = -4*j + 172, -3*j = -4*s - 92. Suppose -3*f + 9 = 4*w - 0, 0 = -5*f - 4*w + 15. What are the prime factors of f\/(-18)*-3*j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2298749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -15*(-3)\/(36\/8). Suppose 0 = 4*q + 2*n - 8, -2*n + m = 2*q + 2*n. What is the smallest value in 4, -5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/4  (b) 1\/3  (c) -2\/75  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) -6  (b) 1  (c) 1\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 3*n + 27 = -12, 7*i - 3017*n + 43 = 8*i - 3012*n for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -271104.8 rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-3))\/((-97)\/291)*34\/2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/72)\/(1\/9)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -2*n + 1 + 1, -3*c + 3*n = -9. Factor -2*b + 2*b**3 + 0*b**2 - c*b**2 + 3 - 4 + 3*b**2.\nAnswer: (b - 1)*(b + 1)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 4*y = -4*i + 21, -i - 3*y = -8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t + 12. Let j = 20 - 14. Let y be g(j). Solve 2*v = -v + y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5)\/12 + 1\/(-4). Let u = -0.1 - -0.1. What is the second biggest value in m, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -111519292, -111519281, -111519270?\nAnswer: -111519259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3909465959 to the power of 1\/4, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v - 2. Let z be d(6). Suppose -4*k + q + 26 = -4*q, -8 = -z*q. What is the remainder when 25 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -9 - ((-7 - -12) + -2519)?\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4512 divided by -8\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 7\/6 of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*a**2*b**2 + 2*a**2*b + 5*a*b**2 + 16*a*b - 26*a + 4*b**2 wrt b.\nAnswer: 8*a**2 + 10*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -123, 2, 4, -6, 3, -5 in increasing order.\nAnswer: -123, -6, -5, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*v + 7*v - 470. Suppose s + 2217 = 5*c + v, 5*s = -2*c + 715. Is c a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/8, 0.067, 18, 5, -1, 3\/5?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2224, -2, 6\/19, 0.4 in decreasing order.\nAnswer: 0.4, 6\/19, -2, -2224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -60 take away 810?\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 50 and 675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1234993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2938888, 2939151, 2939412, 2939671, 2939928, 2940183, 2940436?\nAnswer: 2940687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 2*c**2 + 3*c. Let q(w) = 2*w**2 + 2*w. Let z(h) = -3*q(h) + 2*u(h). Let r(y) be the second derivative of y**3\/6 + 11*y. Determine r(z(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-71*r**2 - 151*r + 151*r)*(r**3 - r**3 + r**3) - 2*r**5 + 0 + 0 + 154*r + r**5 + 138*r - 220*r.\nAnswer: -72*r**5 + 72*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*h - 14*h = -135 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 64697666, 64697675, 64697684, 64697693, 64697702, 64697711?\nAnswer: 64697720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14216 = 20*t + 14256 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*2\/(-4)*1 + -164. List the prime factors of (r\/360 + 2\/16)*-66.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*-234\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of -z**6\/780 + z**5\/390 + z**4\/78 - 15*z**2 - 4. Factor j(m).\nAnswer: -2*m*(m - 2)*(m + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(180) + -1)*5 - sqrt(60)\/sqrt(108)*4*1)**2.\nAnswer: -860*sqrt(5)\/3 + 37205\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1311, 1859, 2787, 4107, 5831, 7971, 10539, 13547?\n\"Answer: 2*p**3 + 178*p**2 + 1131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/1*(-2)\/(-8)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 676 + 3\/(((-54)\/(-15))\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3, -5\/9, -2153, -344?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3275764.53473 + 2754133.7907. Let x = c + 521621. Let z = 9.74 + x. What is z rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26082 - -433\nAnswer: 26515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*m**5 - 2*m**4 - 33101*m**3 + 165776*m.\nAnswer: 40*m**3 - 24*m**2 - 198606*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -3*z + 14. Let o(b) = -6*b - 30 + 6*b + 7*b. Let h(i) = 13*f(i) + 6*o(i). Let r(x) = 6*x + 3. Determine 5*h(j) - 3*r(j).\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = -3*c + 54. Let r = 182 - 180. Solve r*d - 5*u = c, 4*d + d = -3*u + 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + q = -3, -2*q = -6*q. Suppose -g + 6 = s. Suppose -2*t + 4*i + 2 = -g*t, 18 = 5*t - 4*i. Solve 0 = -5*b + t + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-45)\/(-20))\/((-6)\/(-32)). Let g be (-3)\/c + 17440002\/8. What is g rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - (5 - 13)) + (-1 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y - 3. Let b(u) = 298. Determine -b(p) + 3*k(p).\nAnswer: 3*p - 307","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5802, -11605, -17398, -23175, -28930, -34657, -40350?\nAnswer: -46003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjkukkjkujjjju. What is prob of picking 1 u and 2 j?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 + 2*a - 3. Let s be o(2). Let m(f) = f**2 + 3*f. Let i be m(-4). Suppose 2*r - 10 = 3*b, -4*r + i + 16 = 2*b. Solve 0 = s*d - r - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -742 + 52?\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 + 1 + 13*r - 2*r**3 + 7 + 12*r**2. Does 8 divide l(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 15) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b**3\/9 - 152*b**2 + 25992*b = 0.\nAnswer: 0, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from audyudauuugugduuu?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10)\/4 - (-100)\/40. Suppose v = -4*a - 5*w + 15, 0 = 2*w - 0*w - 6. Let s be (-6 - -1)*(-1 - 0). Solve a = 3*o - 3*h + 27, -4 + s = -4*o - 3*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/3*4 + -376. Let j be 8\/(-52) + k\/(-52). What is the first derivative of -11*w**3 - j*w**2 + 7*w**2 - 7 wrt w?\nAnswer: -33*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10 by 49914008.\nAnswer: -5\/24957004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 75 + -71. Which is smaller: 15\/4 or y?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the first derivative of -z**3\/4 - 57*z**2\/8 - 342. Factor k(p).\nAnswer: -3*p*(p + 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 2*z. Let g be (z - (-1584)\/788) + -2. Let f = -575\/1576 - g. Which is the third smallest value?  (a) 1\/8  (b) -0.4  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 1513316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 4*k**3 - 7*k**2 - 9*k + 345. Let o(w) = -w**3 + 2*w**2 + 2*w - 87. Calculate 2*c(d) + 9*o(d).\nAnswer: -d**3 + 4*d**2 - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 11, 30, 49, 68, 87?\n\"Answer: 19*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 239 or 241?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 515 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 8923495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.12, -2\/21, -2, 5, 3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 3*a**4\/8 + 3015*a**3\/8 + 785529*a**2\/8 + 14031273*a\/8 + 10937205\/2 = 0.\nAnswer: -493, -15, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/((-10)\/(-4)) - -2. Let s be (-7)\/(-5 - -110)*(-78)\/(-13). What is the biggest value in l, s, 2, -2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*l = -18*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3483, 3544, 3617, 3708, 3823?\n\"Answer: x**3 + 54*x + 3428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 124, -5, -9680 in ascending order.\nAnswer: -9680, -5, 6, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1565120806 to five dps.\nAnswer: -0.15651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + d + 11 = 0, -4*d + 7*d + 3 = 2*o. Solve 2*s = o*k + 2 + 8, -5*s = 2*k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -29 + 3*d - 2*d - 4*d + 37. Let h be g(-8). Let b = -9 + h. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 3:56 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1112 (base 4) to base 15.\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {c: 5, p: 8}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2. Calculate o(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a5d1 - 4?\nAnswer: -a5d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000491821 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -2. Let v be (-1)\/(1 - r\/(-2)). Solve -3*z - 10 = 5*j, 0 = -7*j + v*j - z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*s**4 + 2*s**3 - 200*s**2 - 1589?\nAnswer: -8*s**3 + 6*s**2 - 400*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, -3, -5332 in decreasing order.\nAnswer: -2, -3, -4, -5332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1006703 and 561189.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -161 - -4?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 60924 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 63003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 82 and 362932?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 38261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -61 + 85. What is the remainder when z is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2977 and 143?\nAnswer: 32747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3855144 divided by -4\nAnswer: -963786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6216592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21 - 24. Is f smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 2:43 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 2.4415617 months?\nAnswer: 0.0203463475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 - 14*v - v**3 - 2*v**2 - 6 - 13*v in the form c*v**2 + r*v + b + s*v**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -107*q - 81 wrt q?\nAnswer: -107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the second derivative of -27*c**5\/20 + 55*c**3\/6 + 53*c. Find the second derivative of k(o) wrt o.\nAnswer: -162*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*z - 3229 - 10757 = 0. Let x = -339 - z. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5 in 898, 0.3, -3\/5, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v - 3. Let j be z(-5). Let k(a) = -6*a + a**j - 4 + 3 - 1 - 2. Calculate the remainder when k(-7) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a - 9. Let f be w(14). Suppose f*y - 206 = -76. What is the remainder when y is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -265 - -531. Let g = 2928\/11 - y. Let m be 1\/(-4) + -22 + 22. Sort m, g, -1, -8.\nAnswer: -8, -1, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from {v: 3, t: 6, j: 3, g: 2, b: 3}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**2 + 2*j + 3. Suppose 0*p - 2*p - 3 = o, 9 = -2*p - 3*o. Suppose -g = 3*k + k - 10, p = -2*k - g + 4. Let a be -2 - (0\/k)\/(-2). Give l(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15 - -21. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) - (sqrt(11) + -4*sqrt(99)))*-4 + 2*(((4*sqrt(55))\/sqrt(5) - sqrt(11)) + sqrt(11)))*1.\nAnswer: -40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 2*n = -150. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 + 154290?\nAnswer: 154286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -35 + 36. Solve 3*j + x = 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2\/19 + 52635464*y\/19 - 346311508811912\/19.\nAnswer: -2*(y - 13158866)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -149.309 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 7*v + 5 = 0. Let z be (0 + v + -160)*-1. Suppose z = 4*h - 3*x, 3*h - 4*x + 2*x = 122. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g = -5*i + 141, -2*g - 641 = 3*i - 583 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -3*f**3 - 6*f**2 + f + 8. Let k(u) = -u**2 - u + 1. Let g(x) = -3*k(x) + r(x). Let m be g(-2). Let o = 61 - m. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of -1 + 0*c**2 + c + 0*c**3 + 3\/4*c**4. What is the first derivative of n(s) wrt s?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 34.045 + 0.805. Let s = -0.75 + i. Let g = -34 + s. Which is the nearest to g?  (a) -5  (b) 4  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uzzjzcjvivji. Give prob of sequence ujii.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s - 1 = 19. Which is smaller: s or 12?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -10.2053.\nAnswer: 30.6159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 1186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15 - -25. Suppose 75*g = 71*g + 12. Suppose -6 = 9*o - 24. Solve o + i = g*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9716 + -5384. What are the prime factors of g?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -10 and -21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t + 26. Let l be y(10). Let n be l\/(5\/1 + -3). Suppose 0 = m + m - 16. Solve -n = -4*p + m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 356 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2813 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of -h**7\/420 - h**6\/90 - h**5\/30 - h**4\/8 - h**3\/3 + 3. Let i(m) be the third derivative of l(m). Determine i(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 363082 to the power of 1\/2, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 525 divide 20337077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, z: 2, y: 1, x: 1, d: 1, s: 2}. What is prob of picking 1 d, 2 s, and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 + 2)\/((-9)\/9)*-1. Suppose 21*s - 18*s - 1047 = h. Find the first derivative of 27*d + 0*d + s - 374 wrt d.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the third derivative of 0*m**6 + 0*m**3 + 151\/60*m**5 - 2*m**2 + 0*m - 107\/210*m**7 + 0 + 0*m**4. What is the third derivative of x(v) wrt v?\nAnswer: -2568*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 5*a = a + 1197, 2*a = 5*m - 1179. Suppose g + 53 = m. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*o**2 - 2*o**2 + o**2)*(0 + 2 + 0)*(-32*o - 9*o + o) to the form j*o**2 + a*o + i + p*o**3 and give p.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 9221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/8, -57, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 177 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 53 - 48. Suppose -4*n + 8*s - 2 = 5*s, 0 = -f*n - s + 7. Does 45 divide 72*(n + (-12)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 4*f + f - 10, 2*f - 5*i + 5 = 0. Suppose -k - f = -6*k. Let x be k\/2 + 10\/4. Which is bigger: 27\/7 or x?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 1 = 2*o, 2*o - 8*h + 3*h = 9. Solve 3*z - o = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (3 - 14) + -1 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 74\/63 and -25\/27384.\nAnswer: 82152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -80370 rounded to the nearest 1000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8.3 + -8. Let n = 2.05966 + -0.05966. Which is greater: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*k**2\/9 - 587894*k\/9 = 0. Calculate k.\nAnswer: 0, 293947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 61\/367 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.55 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**5*c)**(-2\/81)*c\/(((c*c**20*c)\/c)\/c*c)*((c*c\/(((c\/(c*c*c*c\/(c*c\/((c*c**(9\/4))\/c)*c*c)*c))\/c)\/c)*c)\/c)\/c assuming c is positive.\nAnswer: c**(-1609\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1480, -2143, -2812, -3487, -4168, -4855?\n\"Answer: -3*u**2 - 654*u - 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 711954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*v + 7 - 7)*(0 + 2 - 3)*(-2*v + 2 - 2).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 725 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20207 is divided by 808.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*u**2 - 2*u**2 - 3 - 5 + 11 in the form k*u**2 + y + v*u and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 + (-2)\/(-1) - 1. Let v be 13\/s + -4 + (-28)\/(-6). Let j be (1\/(-1))\/(1\/(-10)). Calculate the greatest common divisor of j and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 895475 is divided by 8948?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 3*c**2. Let k(f) = 6*f**2. Let u(w) = w**2 - 9*w - 19. Let i be u(10). Give i*x(t) + 5*k(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*l - 5*l = 105. Let h be 24\/(-84) - 172614\/l. What is h rounded to the nearest one hundred?\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -5*u + 87, -2*u = -3*w + 3*u + 39. Let n be 18\/(-81) - 1292\/w. Let z be 14\/91 - n\/39. Solve p = -z*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 - 5*j**2 - 13*j + 28. Give k(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27 - 244 - 53)*(1 + 4 - 4)*(-3 - h + 3).\nAnswer: 324*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3382, 6, 1\/2 in decreasing order.\nAnswer: 3382, 6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -173\/4 - -5701\/132. Let h = -0.02 + 4.02. Let l = 5 + -5.4. Sort l, h, n in decreasing order.\nAnswer: h, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes before 8:41 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 886*n + 1008*n + 869*n - 221*n.\nAnswer: 2542*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 1\/6, -0.2, 8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**2 - 39*a + 622. Determine f(-48).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**2 - 5*c + 2. Let l be u(5). Suppose -4*f + 6 = -l*f. Let a = 4 - -1. Solve z - 23 = 3*z + 3*p, -f*p + 5 = -a*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -6*t + 0*t**2 - 7*t**2 + 8 + t + 4*t**2 + t**3. Let r be k(4). Let q(n) = 2*n**2 - 7*n - 2. Let p(o) = 3*o**2 - 8*o - 3. What is r*p(s) - 5*q(s)?\nAnswer: 2*s**2 + 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k**3 + 14040*k**2 + 21524175*k + 10747526250 = 0.\nAnswer: -1765, -1150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -8) + -14 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5247.321 and -21.\nAnswer: 110193.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve d - 43 - 46 = -94, 3*b = -d - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 12:18 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4615*1687\nAnswer: -7785505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-13*b - 13*b + 8*b)*(4*b**2 - 4*b**2 + 2*b**2 + (-2*b**2 + 4*b**2 - 3*b**2)*(9 + 11 - 9)) to the form w*b + i*b**3 + z + j*b**2 and give i.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*j + 310032*j**2 - 2 - 310023*j**2 - j**4 + 3*j**3 - 2*j**3 as y*j**2 + r*j**3 + m*j + v + s*j**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -3*x**3 - 151*x**2 + 100*x - 87. Let j be p(-51). Solve -o - j + 17 = 0, -5*o = -5*v - 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -79*a - 4. Let n(w) = 27335*w + 1386. Determine 4*n(o) + 1386*z(o).\nAnswer: -154*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2372 is divided by 56.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 165.35, -41, -2, 0.4, 4?\nAnswer: 165.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/16)\/((-2)\/8) + (-2625)\/(-1260)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 3\/7, -5, 2\/17?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -800, -801, -802, -803?\nAnswer: -804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide ((-16)\/160)\/((-4)\/890920)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 5 = -1. Suppose -r*p + 18 = 6. Calculate the remainder when p is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17868 + 17868 - 134*o**2)*(11*o - 11*o + 9*o + 1).\nAnswer: -1206*o**3 - 134*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68879 is divided by 22576.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-8)*1*0\/23. Put -3, -1, 1, z, 58 in increasing order.\nAnswer: -3, -1, z, 1, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 + 17*r**2 - 4*r - 25. Let m be a(-13). Suppose -b - m = -759. Calculate the remainder when b is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-3)*2*(-10 - -19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-21)\/(-2))\/(28\/((-2184)\/117)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 2*u + 106277 + 16496 = 0, -5*y + 613832 = u. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 7 + (-10 + (-2 - -1) - (-6 - -18)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36180 - 33516 = -121*g. Is g a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 13 = 2*r + 3*x, -3*r - 5*x + 37 = 0. Let a be r\/6 + 65\/15. Solve n - 6 = -2*g, n = a*g - g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9\/42*-2 - 781\/7. Let i = 157 + p. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*i - 13*t + 14*t + 3, -2*t - 6 = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -4*o**3 - 4*o**2 + 5*o + 4. Let f(d) = 12 - 9*d**2 + 11*d - 3 + 67*d**3 + 2 - 2 - 75*d**3. Determine -4*f(p) + 9*t(p).\nAnswer: -4*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = -400*h + 398*h - 66, 4*m + 2*h + 54 = 0 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-1 + 3*sqrt(175) + -2 - (1 + (0 + sqrt(175))*5))**2 + 3.\nAnswer: 400*sqrt(7) + 3583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -21 (base 4) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, n: 5, h: 1, l: 1}. What is prob of picking 2 t and 1 n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r**3 - 39*r**2 - 327*r - 285 = 0 for r.\nAnswer: -5, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04902 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, 1, 0.1 in ascending order.\nAnswer: -1\/3, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 + 12*r**2 + 12*r + 15. Let d be s(13). Let z be 1\/d - (-2)\/4. Is (-6)\/(-2) - (-35 + z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 - -17. Suppose p*a - h - 115 = 280, 5*a - 673 = -2*h. What is the highest common factor of a and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**2 + 6*q + 5. Suppose 0*f - 6 = f. Let n be j(f). Let i = n - 5. Solve i*s + 2*s - 2 = 0, 0 = 2*a - 3*s - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -5*g**4 + 55*g**3 - 130*g**2 + 80*g = 0.\nAnswer: 0, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**2 + 2*z + 2. Let w be u(-4). Find the common denominator of (-1)\/6*714\/w and 16*(19\/(-14) + 1).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-94 - -2 - 0) + 1 + (387 - 387).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 28422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.9 - 0.9. Let z = d - 4. What is the second biggest value in 0.4, 1\/2, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 9*g**2 - 34*g**2 + 3*g**2 + 27*g**2 + 2 + 6*g + 2*g**2. Let w be ((-35)\/21)\/((-1)\/(-3)). Let d(r) = -6*r**2 - 5*r - 1. Calculate w*d(a) - 4*z(a).\nAnswer: 2*a**2 + a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**2 + 147*r - 3352. What is j(20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2310 at least 2329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 654253823314 from 2.\nAnswer: -654253823312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of y**5\/10 - 7*y**4\/24 - 7*y**3\/6 - y**2. Let n(w) = 3*w**2 - 3*w - 3. Give 3*l(m) - 7*n(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.02?  (a) -1\/2  (b) 0.4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 - 28. Let b be 4\/(-5)*f\/4. Let h be -2 + b + -2 + 5. Solve 3*w + q = 2, 4*w - 5*q - 6 = h*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2\/11, -2, 8, 142, 11, -3\/2, 2\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -14b5b (base 14) in base 4?\nAnswer: -30212231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*j - 4 = 26*j. Put j, -3, 8 in decreasing order.\nAnswer: 8, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.6914 + 335.6886. What is x rounded to zero decimal places?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.802*-2.\nAnswer: -1.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 41642 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*m = 20*m - 45*m - 8 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gh when two letters picked without replacement from bbgbggbhwhgubgggz?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:45 PM and 10:52 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, i: 2, u: 1}. Give prob of picking 2 k and 2 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -305, -1245, -2795, -4943, -7677, -10985?\nAnswer: -14855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 + 12*l**2 + 9*l + 15. Is f(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2852586 to the nearest integer?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f - 27 = 9. Solve 10 + 6 = f*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20.681709 rounded to three dps?\nAnswer: -20.682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 86421 (base 10) to base 7\nAnswer: 506646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1476a + 61?\nAnswer: -14709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 581 - -380. Let j = -960 + b. What is the closest to j in 0.1, 10, -22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 5:09 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-116437*w**2 + 55754*w**2 + 57114*w**2)*(2*w - 2 + 2)*(3 + 2 - 4) to u + c*w**2 + s*w**3 + l*w and give s.\nAnswer: -7138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 0.9. Let v = x - 14.9. Let o = 13 + v. What is the closest to -1 in 5, o, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, m: 1, p: 6, b: 2, d: 6, h: 1}. What is prob of picking 1 d and 1 y?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the third derivative of 0*o**3 + 0 + 1\/120*o**6 + 0*o - 1\/60*o**5 + 1\/210*o**7 + 4*o**2 - 1\/336*o**8 + 0*o**4. Suppose c(k) = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-f + 2*f + f)*(-2*f - 3*f + 4*f) - 12*f**2 + 0*f**2 + 38*f**2 + (1 + 3 - 2)*(-f**2 + f**2 - f**2) as v + q*f + y*f**2 and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 154b (base 14) in base 8?\nAnswer: 7317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, -3, 5, -0.05, 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*n - 11*n - 4 = 17*n. Suppose 0 = -0*m - 4*m + 1200. Calculate the smallest common multiple of n and m.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 2*w - 9. Let z be b(5). Let d(l) = -20*l - 20*l + z + 44*l. What is d(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 4*x + 78. Let l(q) = -2*q**2 - 2*q - 1. Let a be l(-4). Let t = a - x. What is the greatest common factor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 2*p - 11 + 4*p + 6 + 4 - 2*p. Let d(h) = -11*h + 3. Suppose 0 = l + 3*l - 8. Suppose 42 - 8 = -l*f. Give f*y(i) - 6*d(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -4*p + 133 + 169, -4*p + 5*m = -295. Solve 0 = 57*g - p*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -120030 + 76700. What is v rounded to the nearest one thousand?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/483)\/((-46)\/1058)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 3*y + 450 = 0, -m + 4*y = -0*y - 90. Suppose -211 - m = -7*n. Let u = n + 334. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -x + 2*p - 30, 0 = -3*p + 15. Suppose 5*w - 2*l = 18, -3*l - 14 = w - 4. Solve -w + x = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 4*u**2 - 11*u + 5. Let q(o) = o**2 - o + 1. Give -h(g) + 6*q(g).\nAnswer: 2*g**2 + 5*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5407615l to millilitres.\nAnswer: 540.7615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the third derivative of j**7\/105 + j**6\/30 - j**4\/6 - j**3\/3 - 9*j**2. What is w in a(w) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.01 and 22.9944.\nAnswer: 0.229944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 182\/3 + -60. What is the nearest to -11 in -3, 1, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2100*o + 3652 = 1311*o + 71872 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5592 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*x + 3*x - 117. Let i be 2 + -5 + x\/(-3). Suppose -4*u + y + 117 = 0, 5*u - 4*u - 5*y = 15. Calculate the highest common factor of i and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 - 30*v**2 + 65*v - 17. What is k(-32)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*j + 5 + j**2 - 3*j - 13 + 7 to p + h*j**2 + z*j and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*q**4 + 16*q**4 - 6*q**5)*(19 + 1 - 2)*(1 - 1 + 2).\nAnswer: -216*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((1*((sqrt(200) - -2*sqrt(200)) + sqrt(200)) + -3)*2*-4*4)**2 + 5.\nAnswer: -9858043 + 737280*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 96030000 to the nearest 1000000.\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 + r - 1. Let m(w) be the first derivative of -1\/4*w**4 - 1 - 4*w + 2*w**2 - 2*w**3. Give m(k) - 4*q(k).\nAnswer: -k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 342253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 4*n - 9. What is the least common multiple of u(3) and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10 or 509329?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 36*v**2 - 22*v - 8. Let g be h(-7). Let q be ((-4)\/6)\/((-2)\/3). Is q\/(-5) - g\/(-50) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**2\/5 + 3576*j - 35744\/5.\nAnswer: -4*(j - 4468)*(j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -84, -403, -928, -1653, -2572?\nAnswer: -3679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a**2 + 22057060 - 22057060.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -600.600166 to one decimal place.\nAnswer: -600.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 6 = -5*z, -g = -z - 3984. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 7*g + 46. Let h be u(-6). Determine v so that 5 - h*v**3 - 6 - 36*v**2 - 16 - 44*v + 4*v**4 + 1 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27421641 (base 9) in base 7?\nAnswer: -223026202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 36*b + 18*b**2 + 5 + 3*b**3 + 30 - 11 + 0*b**3 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from lkklkkckkllckc?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 23*p - 333 = 9*p. Let q(f) = f**3 + 11*f**2 + 24*f + 19. Calculate q(p).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 21424 - 21431. Sort i, -0.2, 0.3, -4\/11 in increasing order.\nAnswer: i, -4\/11, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6c26 (base 14) to base 16.\nAnswer: -49a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the first derivative of w**6\/36 - w**4\/6 - w**3\/9 + w**2\/4 + w\/3 - 19. Solve s(p) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1350246325 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 6162 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: Let r(y) = -4575*y + 2. Let w(z) = z - 829. Calculate w(r(n)).\nAnswer: -4575*n - 827","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 783552802 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2433276540?\nAnswer: 2, 3, 5, 13518203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -7*s**2 + 1505*s. Let z(x) = 6*x**2. Give y(z(v)).\nAnswer: -252*v**4 + 9030*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from {r: 6, l: 6, d: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -2 - (-1 - 2 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -4*f**3 + 15*f**2 - 88*f. Let p(a) = 8*a**3 - 28*a**2 + 177*a. Let q(t) = 5*g(t) + 2*p(t). Find the second derivative of q(c) wrt c.\nAnswer: -24*c + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-30)\/(-135) + (-68)\/(-18). Suppose 3*j + 2*u - 574 = 0, r*j + u - 760 = -3*u. Find the common denominator of j\/(-16) + 2 - 0 and -13\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -946 = -564*m + 562*m. What is the greatest common factor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-102)\/12 - 20\/(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(-6)*-4 + 0. What is the remainder when z*(-1 + 57\/(-2)) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -4*q - 8. Let a(t) = -t - 1. Let d(x) = 3*a(x) - m(x). Let z be d(0). Is (-574)\/(-5) + 1\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-757106)\/123 - 7\/(-3). Let p = 11170 + v. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6, -1, 4, 9, 14?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.5735 rounded to one decimal place?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 836\/5 smaller than 166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of 7063463.97 and 152.\nAnswer: 7063615.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 757492133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -134 + 1?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/((-2 - -4)\/(-2)). Suppose 8 = -4*n + 2*a + 2*a, 5*n = -2*a - 17. Sort d, 2, n in ascending order.\nAnswer: n, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -49727 or -2361?\nAnswer: -2361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-5)*(-540)\/1296.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-34)\/153)\/((-64)\/9))\/1.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 + -5866\nAnswer: -5866.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -43 + 78. Calculate the greatest common divisor of h and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(91)\/((sqrt(252) - (sqrt(252) - (sqrt(252) - (sqrt(252) + sqrt(252) + (sqrt(252) - sqrt(252)*-2))))) + sqrt(252)).\nAnswer: -sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 6200 divide 1093308000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*a = -44 - 82. Calculate the lowest common multiple of 119 and a.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 3773.368cm?\nAnswer: 0.03773368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11495.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 442 is divided by 77.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2150\/(-45)*333\/185.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -147.8561 - 272661.5039. Let w = -272808.55999985 - h. Let f = w - 0.8. Round f to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(396)*2 + -2 + sqrt(396) + 1 + 5 + 3*sqrt(396)*-2 + sqrt(396))**2 + 5.\nAnswer: -48*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/2 - 2)\/1. Suppose -2 = 5*n - 47. List the prime factors of -1 + n + 2*p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 8*k - 21. Suppose 11*d + k = 12*d. What is the common denominator of 8\/12*((-75)\/(-16))\/d and -14\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20410014 (base 6) in base 3?\nAnswer: 1010002110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 748933?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -1053*w + 320. List the prime factors of x(-16).\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange k**3 - 6*k**3 + 0*k**3 + (0*k**2 - 4*k**2 - 6*k**2)*(-17*k + 8*k - 10*k) to the form h*k**2 + j*k + p + x*k**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1859 - 1815.79. Let v = 47.284 - y. Let s = -0.074 + v. Which is the nearest to 1.2?  (a) 5  (b) -3\/5  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19 - 12. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.15 + 0.05. Let a = -7.1 - -0.1. Let h = -4 - a. What is the third smallest value in o, h, -4\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 0.5, -100, -1\/6, 109.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/7)\/(n\/n**(-3\/7)))\/(n\/(n*n**(1\/2)))**22 assuming n is positive.\nAnswer: n**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 261, 173, -2, 3 in increasing order.\nAnswer: -2, 2, 3, 173, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-j**3 - 4*j + 4*j)*(1 + 0 - 4)*(6 - 4 + 2) - 31*j**3 - 250*j**3 - 46*j**3 to the form n*j + p*j**3 + m + s*j**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 42633861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20122, 20092, 20040, 19966, 19870?\nAnswer: 19752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 110139779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 21655880093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6425002 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one quarters of a millennium in decades?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -126 divided by 18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 2 = -18. Suppose 3*j - x*w - 28 = 0, 0 = -2*j + 5*j + 5*w + 8. Solve 0 = -3*k - 4*y - 31, 4*k + 16 = j*y - 3*y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (35*a**3 - 37*a**3 + 88*a**3)*(23 + 16 - 12).\nAnswer: 2322*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -38524 - -55368. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 31667?  (a) 36  (b) 0.4  (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of 2*q**2 + q - 2. What is the units digit of j(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15737376143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 5*z - 33 = 0, 20 = -87*z + 83*z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*r = 17551 + 11604. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/20, 1\/5, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {a: 1, h: 4, s: 5}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 606754 (base 9) to base 6.\nAnswer: 11411204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 434 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -4*a - 24. Let w be l(-5). What is the third smallest value in -0.2, -12, w, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s and 1 b when four letters picked without replacement from sbssbb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 373 - 373. Which is the closest to 2\/13?  (a) 1\/2  (b) l  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (11\/121*-2)\/((-25)\/(-10)). What is the second smallest value in 3, v, -0.1, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -602*c**2 + 1196*c + 10. Determine q(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 + 5*f**2 - 4*f - 1. Let l be q(3). Let y(p) = p**2 + p - 2. Let h be y(l). Suppose 2*r - 262 = h. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5504 is divided by 191.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 31761072 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 90\/12*(-28)\/(-35).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 126*w + 0*w**2 - w**2 + 3*w**3 - 3*w**2 + 7*w**2.\nAnswer: 3*w**3 + 3*w**2 + 126*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 154 and 140?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 1 - 5 + 141*g**2 - 137*g**2 + 4. Let t(r) be the third derivative of r**4\/24 + 6*r**2. Give t(x(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 159?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -4*i + i - 8, 2*r = 2*i + 12. Suppose -23 = -4*o + r*o - 3*h, 0 = 3*o - 3*h - 27. Suppose -o = -4*k + 6. Put 1, k, -4 in decreasing order.\nAnswer: k, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-18))\/(-3*(-14)\/189).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -11050 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -737*j = 975 + 1236 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 232 minutes before 4:05 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: 21\/(-15)*7050\/282\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-1\/9))**(-4\/3)*(i\/((i\/(i*i**(1\/11)\/i))\/i*i*i)*i)**(2\/9) assuming i is positive.\nAnswer: i**(-434\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from {c: 1, z: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*1*1452\/264*2\/(-4).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2842912021.\nAnswer: 29, 5417, 18097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 1925 = 2*f, -5*t + 1169 = -2*t - 4*f. Let u = t + -158. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4005)\/20*(-16)\/(-6). Let i = 255 + u. Let n = 532 + i. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, y: 3, o: 4}. Give prob of sequence xy.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1.1 * 0.6\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x**4 + 0*x**4 - 2*x**4)*(0 - x + 0) + (x**3 + x**3 - 3*x**3)*(4*x**2 + 14*x + 41*x - 6*x**2).\nAnswer: x**5 - 55*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 24\/23?  (a) 8  (b) -4  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the third derivative of 0 + 1\/180*y**6 + 0*y + 0*y**3 + 5\/18*y**4 + 7\/90*y**5 + 26*y**2. Factor v(g).\nAnswer: 2*g*(g + 2)*(g + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.101203 to 3 decimal places.\nAnswer: 0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4.84 - -0.16. Which is the biggest value?  (a) d  (b) 1  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -w**4 + 48524*w**3 - 94281.\nAnswer: -4*w**3 + 145572*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 + 2. Let t be (2 + -2)\/z + 1. Differentiate 2 + 0 - t - 2*y**4 wrt y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-320)\/(-28)*(18792\/2784)\/((-18)\/(-28)).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -368*n - 14 = -382*n. Solve 2*j - 5*z + 5 = -4*z, 5*z - n = 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 + 4 + 2 + -5. Let z be (q*-4)\/((-3)\/2). Is (2 - z)*(-22)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 12272 = q, 2*b - 307 = 3*q + 4607. List the prime factors of b.\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 623, 6, 3, 0, -2 in decreasing order.\nAnswer: 623, 6, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -4. Let p(g) = g + 20. Let s(y) = -p(y) - 6*u(y). Let b(i) = -1. Let h = -33 + 27. Determine h*b(t) - s(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (14 - 1) + (31 - 36)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (-26 + 34 + (13 + 3 - 1))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p**5 + 460*p**4 - 4825*p**3 - 519000*p**2 + 7830000*p = 0 for p.\nAnswer: -87, -45, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**5 - 2*i**5 + 3*i**5)*((0 - 1 + 8)*(-187 - 58 - 13) + 2 - 1 + 2).\nAnswer: 1803*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.19, 5, -1, 4\/3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 14*j + 45. Let y(g) = 117*g**2 - 1. Give y(k(n)).\nAnswer: 22932*n**2 + 147420*n + 236924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 333539 divided by 6.\nAnswer: 333539\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 3)*(2*x - 3 + 3) + 2*x - 2*x - x - 3*x - 1196475 + 5*x + 593483 + 599012.\nAnswer: -x - 3980","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 499.9049 years to decades.\nAnswer: 49.99049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -110 + 37. Let f = k - -75. Sort f, 4, -2 in decreasing order.\nAnswer: 4, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*d = 77*d - 2829 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(-7)\/(-7)*(-2)\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 381549 and 13713.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u. Let n = 136 + -91. Calculate the remainder when n is divided by h(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*p**3 + 0 + 0 - 23*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/24 of a week in hours?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, n: 4, a: 8}. What is prob of sequence na?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 - 5*c**2 - 2*c + 4. Let u(t) = -t**2 - 5*t - 4. Let i be u(-5). Let r be q(i). Calculate the common denominator of (-158)\/6*r\/(-8) and -39.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91261573 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes after 11:34 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ptpttttpppptpttptppt?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -249, -244, -219, -162, -61?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**2 - 13*i - 26. Suppose 33*x - q = 30*x + 44, 2*x - 32 = -2*q. Give z(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 3*r = 28, 5*k - 1 = 4*r + 3. Suppose -k*b + 46 + 14 = 0. Let m = b - -17. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158.9166243s in weeks?\nAnswer: 0.00026275896875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirteen eighths of a century?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13*q**5 + 1417*q**4 - 242558*q**2 wrt q?\nAnswer: -780*q**2 + 34008*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of -1\/90*n**5 + 0*n**3 + 0*n + 1\/72*n**4 + 0 + 1\/360*n**6 - 3*n**2. Factor a(s).\nAnswer: s*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-17)\/51*50\/(-75)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 77805626 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2232032 (base 4) in base 6?\nAnswer: 123342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 2*h**2 - 172*h + 358. Let k be r(84). Let d(f) = -f**2 + 18*f + 83. Give d(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**2 - 3*g - 2. What is z(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-32) + 89\/8. Suppose 5837 = b*y - 5262. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 8 - 0. Let b = 170 - 96. Let f = b + -74.2. What is the nearest to k in -1, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -48  (b) 3  (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -2.4 * 5.6\nAnswer: -13.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/7?  (a) -58  (b) 5  (c) 1  (d) -4  (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -29*g**3 + 8*g**2 + 1. Let q(v) = v**2 - 1. Let s(c) = -5*q(c) + y(c). What is the third derivative of s(l) wrt l?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3200748, -3200392, -3200036, -3199680, -3199324?\n\"Answer: 356*s - 3201104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 + 2 + (5 - 6). What is the derivative of 5*o**3 + a + 4 + 3 wrt o?\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -o**3\/3 + o**2\/3 + 3*o - 3 = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c - 10. Let m be k(-12). Suppose 2*w + 3*h - 17 = 0, -5*w = 4*h - 32 + 7. Let u(d) = 16*d**2. Let t be u(w). Solve t = -m*y - 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 692*h = 708*h - 4800. What is the highest common factor of 72 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -99299.250936647 - -99299.407. Let y = -0.15607 + i. What is y rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 - 22*u - 16. Determine h(-16).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -1349*i**2. Let v(g) = -25*g**2. What is 323*v(j) - 6*y(j)?\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -23?  (a) 4  (b) 5  (c) -5  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8764131*v**3 + 424*v**2 - 7*v + 57 wrt v.\nAnswer: -52584786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = -8*i + 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -2*i**2 - 7*i - 2. Let s be l(-2). Let t = 14 + 0. Solve -16 = -s*k + 2*f, 5*k - f - t = -0*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -675*q - 2704. What is g(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 2*j**2 + 5*j - 1. Let w = -257 - -252. Let f(i) = -3*i**2 - 7*i + 1. Let r(p) = w*f(p) - 7*v(p). Determine r(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1761559*u*v**3 - 84*u*v + 2*v**3 - 3892*v**2 - 1 wrt v?\nAnswer: -10569354*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/4, -13\/159, 880, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 619 + 16?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4 and 773015.\nAnswer: 773011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -205771 + -93?\nAnswer: -205864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of -1\/10*v**4 + 8 + 432\/5*v - 108\/5*v**2 + 12\/5*v**3. Factor m(q).\nAnswer: -2*(q - 6)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 + 7*i - 5. Let s be o(6). Solve -z - 3*p + 13 = 0, s + 19 = 2*z + 4*p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -41 + 1a5ec?\nAnswer: 1a5ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.08 or -2\/193?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = 17*k + 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 PM and 1:44 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 9 = -3*r, 2 = 15*r - 17*r. What is the smallest common multiple of 96 and f?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z**2 + 27*z - 87. Let f be q(7). Solve -f*x + 3 - 8 = -5*y, x + 2*y = 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 + 9*a - 16. Let c be p(8). Let t = -105\/13 - c. Which is bigger: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 231168 and 270298.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*h**3*q**3 + 60216*h**3 + 1664*h**2*q**3 + 2*h*q**2 - 7*q**3 wrt q.\nAnswer: -48*h**3 + 9984*h**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qpus when four letters picked without replacement from {u: 1, p: 1, q: 2, r: 1, c: 1, s: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4901863 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m + 6. Let h(n) = 6*n - 34. Let p(q) = 3*q - 17. Let z(v) = -2*h(v) + 5*p(v). Let x(l) = 17*t(l) + 6*z(l). Let c(o) = 15*o**2. Determine x(c(g)).\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k**3 - k**2 + 1. Let a be q(1). Suppose 0 = 4*o, 0 = l + a*l + 2*o - 12. Solve -3*y = -l*y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g + 3*g - 3*g - 1 + 3 - 2*g - 3 + (2 - 5 + 2)*(-3*g + 3*g + 2*g) + g + 2*g - 6*g.\nAnswer: -8*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dnnndvnnndvnv. Give prob of sequence nv.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16 (base 10) to base 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 338986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 10867513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 5*l = -9, l = 5*z + 4*l - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*d*w**5 + 5*d*w - 31*w**2 + 16*w wrt w.\nAnswer: 100*d*w**3 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 + -6. Suppose -4*q + 2 = -6. Suppose 3*h - 19 = -4, 5*h = -q*x + 27. Which is the third biggest value?  (a) x  (b) s  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**3 - 7*m**2 - 6*m + 4. Let l be a(-6). Let f be (-2)\/2 - 4\/(-4). Suppose f = -l*g - 22 + 6. What is the nearest to -2\/5 in 2, 5, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 12) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 less than -95113.504?\nAnswer: -95107.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(56)\/((sqrt(72) - -2*sqrt(72))\/sqrt(9)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.4, -4, -3, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqhqqqqh. Give prob of picking 3 q.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-96)\/896)\/(9\/8).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(0 + sqrt(200)) - (sqrt(200) + 1)*2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j + b - 29, 5*j - 37 = -2*b - 0*b. Solve u - j*u = -18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -846 and 4.\nAnswer: -3384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*f**4 + 2*f**4 + 0*f**4 + (2*f + 0 + 0)*(f**3 - f**3 + 3*f**3) + (f - 6*f - 5*f)*(11 - 11 + 2*f**3).\nAnswer: -15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/5 in 3, 17\/63, 4, 0, -1?\nAnswer: 17\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 358 + 49?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -652, -0.5, 23, -85, 2\/3 in ascending order.\nAnswer: -652, -85, -0.5, 2\/3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 2*s**2 + 4*s. Let p(h) = 7*h**2 - 10*h - 33. Let r be p(9). Let y = -447 + r. Determine u(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(sqrt(78) + 1*sqrt(78)) + -2*sqrt(78)*-4)\/(((sqrt(36) + (sqrt(108)\/sqrt(3) - sqrt(36)))\/sqrt(6) + (sqrt(96)*-1 - sqrt(96)) + sqrt(96))*-3))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 26724285*b**4 - 19183336*b**2 wrt b?\nAnswer: 641382840*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.9 + -2. Let z = -4 + w. Suppose 11 = 2*h - d, -2*h - 5*d + 4 + 1 = 0. Which is the closest to z?  (a) h  (b) 1  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -52, 220, 4 in decreasing order.\nAnswer: 220, 4, -2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 5, h: 3, l: 5, j: 2}. Give prob of picking 3 h.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 2*j**3 - 5*j**2 - 5*j + 10. Let g be o(5). Suppose -2*s = w - 65, 2*w = -5*s + 6*s + g. What is the highest common factor of 38 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 482 - 481. Let d(g) = g + o - 2 + 0 + 0*g. Let x(w) = -4*w + 6. Determine 10*d(b) + 2*x(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 34 - -46. Suppose w - 20 = 5*i. Calculate the least common multiple of 2 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 23*j. Let f = -57 - -59. Suppose 6*h = h - n + 185, 4*h - f*n = 162. Let q = 37 - h. Give g(q).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 7 - 3 = 0. List the prime factors of (-109)\/y - (-6)\/12.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 745684\/10526 + 18\/114\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, -596, -4, 0, 41806 in increasing order.\nAnswer: -596, -4, -2, 0, 4, 41806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (10 + -2 + -2 + (-40)\/(-16))\/((-1)\/2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -813 = -35*h - 218 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from epepe. What is prob of picking 1 p and 2 e?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17290?  (a) -6  (b) -3\/4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -41*z + 14. Let p(v) = 14*v - 5. Suppose 87*r = 94*r + 119. Determine r*p(m) - 6*j(m).\nAnswer: 8*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1617, 1736, 1921, 2166, 2465, 2812?\nAnswer: 3201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*c - 33 + 23 + 0*c + 3 + 44 + 32 - c**2.\nAnswer: -c**2 + 4*c + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4a761 - -b?\nAnswer: -4a756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f*f*f**(5\/3)*f)\/(f*(f*f**(-2\/3))\/f))**(-14) assuming f is positive.\nAnswer: f**(-224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -6 - 3. Suppose -b + 1 = 5*z + 4, t*b = -2*z + 43. Let k = b - -546. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/((84\/1232)\/((-6)\/(-8)*-1)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -6 + -2924151 + 9\/(-3). Let v = m - -1334160. Round v to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.9841416 years?\nAnswer: 0.009841416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-12)\/90 - ((-292019)\/105 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12422 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 217937\/212 + -1028. Is 1 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*l + l**3 + 2*l - 1041 + 1035 to the form w*l + z + j*l**2 + x*l**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -512 = 77*z + 25*z - 2227 - 835 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u - 9. Let b(v) = -3*v**3 - 2*v**2 - 2*v - 1. Let k be b(-1). Suppose -4 = 5*j - 6*j. Let r(w) = j + 6 - 4 - 4. Calculate k*a(t) + 9*r(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + k + 5*h - 374 = 0, 4*k = 2*h + 360. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 110 - -272?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 263 is divided by 85.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 148 - 32. Suppose q = 4*v - 11. Calculate the lowest common multiple of 4 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11666 divided by 306.\nAnswer: -5833\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/1737 or -9\/7?\nAnswer: 2\/1737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = n + 2*n + 2*h, 0 = 5*h + 25. Which is the nearest to 2\/3?  (a) 1\/5  (b) -21  (c) n  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/3 - (-480)\/9. Suppose -4*g + 0*c + 2*c = -n, -5*g = 4*c - 74. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -172*d - 493. Is w(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 738700?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 561967 and 80281?\nAnswer: 561967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2*f**2 + 7*f + 2. What is u(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -66*k*n**3*z + 48*k*n**3 + 133*k*n**2*z - 2*k*n**2 - 2*n**2 wrt n?\nAnswer: -396*k*z + 288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 2*n**3\/7 + 3572*n**2\/7 + 318238*n\/7 - 737276 = 0.\nAnswer: -1691, -109, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -5*y. Let l be (-17)\/(y + 5\/(-15)). Let r = 1 + l. Calculate the remainder when r is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7 - -1c064a8?\nAnswer: 1c064b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gwwwded. Give prob of sequence www.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 0.2, 17, 2, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31901176 is divided by 224.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 - 5*m - 30. Let q(u) = 3. Let r(z) = -f(z) - 5*q(z). Determine r(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 4*t = 2, -5*y + 5*t + 27 = 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 - 4*y**2 + y + 1. Let c be t(0). Sort c, -3, -5, 4 in ascending order.\nAnswer: -5, -3, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(-12)*((-6)\/5)\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 253086?\nAnswer: 2, 3, 42181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (106*l - 106*l + 19*l**2)*(-2 + 0 + 4)*(l**2 + l - l).\nAnswer: 38*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of -l**4\/4 - 4*l**3\/3 + 7*l**2 + 3*l + 24. Let v(o) = 2*o**2 + 5*o - 9. Let f = 13 + -5. Determine f*v(y) + 5*c(y).\nAnswer: y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*k**3 + 4*k**4 - 13*k**3 + (5*k**3 - 6*k**3 + 6*k**3)*(-3*k + 3*k - k) to f*k + b + r*k**3 + j*k**4 + m*k**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -6 + 1 + 0 + 3 + -2. Let x(t) be the second derivative of t**4\/4 + t**3\/3 + t**2\/2 + 2*t. Let k be x(-1). Sort k, 3, u in increasing order.\nAnswer: u, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 92175 or 92173?\nAnswer: 92173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40822 is divided by 3216?\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*h - 3*d + 6 = -22*h, 9*h = -5*d + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the second derivative of x**6\/10 + 3*x**5\/4 + 9*x**4\/4 + 7*x**3\/2 + 3*x**2 - 12*x. Suppose o(u) = 0. What is u?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15232 - 3225. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -30*y + 87. Let w = -907 + 910. Determine a(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -1, -809, 8 in increasing order.\nAnswer: -809, -1, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -4*n - 14, 2*d + 6 = -4*n - 2. Let y(t) = -2*t**2 + 16*t - 15. Let m be y(6). Let f be 1\/m*(8 - 6). What is the nearest to d in -4, -5, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 56158*c**4 - 2*c + 3569 wrt c?\nAnswer: 673896*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 669, 676, 683, 690, 697?\n\"Answer: 7*f + 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -2*sqrt(1008)*-5 + -1 + sqrt(1008) + 2 + 5)**2.\nAnswer: 1848*sqrt(7) + 122017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of -2*t**2 + 0 - 1\/3*t**3 + 2*t. Let v be x(-4). Solve v*l = 11 - 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 259902 divided by -6\nAnswer: -43317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vttv when four letters picked without replacement from {t: 3, v: 2, k: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-2))\/(9\/(-27))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, -11, -13 in descending order.\nAnswer: 4, 2, -11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 10 = 6*l. Let r(p) = -2*p - 18 + p + 5*p - 2*p. Let o be r(12). Calculate the greatest common factor of l and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 9079 and 0.2.\nAnswer: 9079.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -2*v**3 + v**2 + 2*v. Let z(y) = -3*y**2 + 2*y**2 - 45 + 45 - 7*y. Let j be z(-6). Suppose -g - 2*c + j = 0, 2*c - 5*c = -g - 4. Give r(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 (base 9) in base 6?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 + 8*m**2 - m - 4. Let y be a(-8). Suppose y*l - l - 3*c + 3 = 0, -3*l + 2*c = 0. Let f(d) = 2*d**2 - 2*d. List the prime factors of f(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -236 + 253.9. Let t = c + -18. Which is greater: 3\/5 or t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21807, 43614, 65421, 87228, 109035, 130842?\nAnswer: 152649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -112202200101 + 11?\nAnswer: -112202200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 349 + -351. Let f be (-4 - -1)*13\/156. Which is the second smallest value?  (a) 2  (b) w  (c) f  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiidgidgidiiidggg. What is prob of picking 1 i and 2 g?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1305 (base 6) to base 3\nAnswer: -110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -12*g**2 - 3052*g - 6123. What is k(-2)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 13518\nAnswer: 1351.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -13 + 18 + -10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 419984, 839986, 1259988, 1679990?\nAnswer: 2099992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m = -m - 25. Find l, given that -m*l**2 - 5*l**2 - 5*l**2 - 6 + 15*l + 3*l**4 - 3*l**3 + l**2 + 5*l**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)\/(sqrt(5)*-1 + sqrt(5) + sqrt(5)))\/sqrt(2) + (3*sqrt(2112))\/sqrt(3).\nAnswer: 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 3*j - 76, -j - 3*j = -5*d + 62. What is the smallest common multiple of d and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -5170663, -5170662, -5170661, -5170660?\n\"Answer: d - 5170664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/19806390 and 127\/7922556?\nAnswer: 39612780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {f: 3, b: 2, d: 1, p: 3, z: 2, a: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 813 by 3.\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 3*s**2 - 15*s + 7. Let d be l(6). Let h = -18 + d. Suppose h - 76 = -3*f. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -274091*f - 548202. What is o(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 182 + -75. Let m = 1891 - 1713. Let j = m - k. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -4*b - 1. Let c = 2 + -3. What is the units digit of p(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 36.16993378 and -0.2?\nAnswer: 36.36993378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 81505233 to the power of 1\/3, to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -l**4\/2 + 297*l**3\/2 + 37274*l**2 + 389466*l - 426888 = 0.\nAnswer: -154, -12, 1, 462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 597135, 1194276, 1791417?\n\"Answer: 597141*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 2*u + 3 = -4*j, 2*u = -4*j. Let s be j\/4 - 185\/(-4). Let i = s + -28. What is the least common multiple of i and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -3*r**2. Let z(y) = -5*y. Determine g(z(d)).\nAnswer: -75*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 856\/(-90)*(-6)\/300. Let r = t - -4\/125. Factor -4\/9 - 2\/3*s - r*s**2.\nAnswer: -2*(s + 1)*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -169*r - 12 = -167*r + 9*v, -4*r + 16 = -2*v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22032 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 4\/3  (b) 0.6  (c) -1\/4  (d) -149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -k**2*r**2 - 36671*k**2 + 4201*r**2 + r - 2 wrt k?\nAnswer: -2*k*r**2 - 73342*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.16 - -0.61. Let r = j + -0.4. Let d = -2.05 + r. Sort -1\/8, d, -1 in decreasing order.\nAnswer: -1\/8, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 589776 and 352.\nAnswer: 1179552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 4:36 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 373.544013 to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*(f**(-2\/31)\/f)\/f*f))\/((f*f**(-8\/7))\/f) assuming f is positive.\nAnswer: f**(479\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 9, j: 5, o: 2}. Give prob of sequence oj.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -8. Suppose 2*b + 4*x - 33 + 19 = 0, 4*b - 4*x - 4 = 0. Let f(o) = o**2 + 4*o. Let k be f(-4). Solve k*l + b*l = -w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22 and 336.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3170*k**3 + 3599*k + 2.\nAnswer: 19020*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2373454242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 393 + -599. What is the nearest to 2 in 3\/7, 1, -2\/15, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21 + (-1545)\/75)\/(99\/(-1155))?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2356987.\nAnswer: 71, 89, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -4430 (base 6) to base 13\nAnswer: -60c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*l - 13*l**3 + l**3 + 11*l**3.\nAnswer: -l**3 + 48*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -6*c - 1. Suppose 6*l = -2*m + l + 7, 4*m = 3*l + 1. Let u = m + -2. Determine q(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 27 + -26. Let o = t + -0.935. Let z = -0.06500122 + o. Round z to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 312 and 2028?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -10, -60, -3\/2, 0.7, -2\/9, -1\/5, -2\/17?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -41.1 - -59.8. Let m = q - 16. Let y = 2.8 - m. What is the third smallest value in 3\/8, -0.5, y?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-21) + (-57 - 20996\/(-406))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10111000110111001 (base 2) in base 16?\nAnswer: 171b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1129 or 1122?\nAnswer: 1129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 85 + -147. Suppose 5*c = -272 + 87. Let r = c - l. Is 24 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1132001002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and -0.117.\nAnswer: -0.0351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 + 3 - (-6 - -6). Suppose -3*u = x - 24, 4*u + c = 2*x - 5. Suppose x = f + f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 186 is divided by 70.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12325 by -5.\nAnswer: 2465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12259\/14 - -876. Find the common denominator of (-47)\/(-70) + (-8)\/(-20) and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/(-12))\/((-10)\/(-30))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*m + 6*m + 6*m)*(-m**3 + 4*m**3 - 5*m**3)*(1 - 1 - m).\nAnswer: 34*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1220020001120 (base 3) to base 16.\nAnswer: f6279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 - 38 - 91*d**3 - 8*d - 84*d**3 + 174*d**3. What is the hundreds digit of w(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-4\/5)\/p*p*p**(-3\/8)\/p)\/((p*p**0\/p*p)\/(p\/((p**(-2\/11)\/p)\/p)*p)))**(-29) assuming p is positive.\nAnswer: p**(-12847\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -129773 divided by -18539\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -12954000 rounded to the nearest 100000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/4)\/(3\/(-126)). Let b be (-2)\/8 - v\/28. Let x be b\/(-2)*(-50)\/15. Does -2 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g - 0*g - 10. What is the units digit of ((-3)\/g - -1)*(-125)\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - x = -1940, -4*i - 4*x = 2320 + 288. Let n be (-2)\/3*i\/(-4). Let k = n - -153. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/sqrt(10)*-2 - 3*sqrt(30)\/sqrt(10))**2 + sqrt(3) + (sqrt(18) - sqrt(18)*-2)\/sqrt(6) + (sqrt(3) - (sqrt(3) + 6*(sqrt(3) + 4)))**2.\nAnswer: 292*sqrt(3) + 759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 7 = 5*m + 11, 16 = 5*o - 3*m. Let p(h) = -4*h**3 - 2*h**2 - 2*h - 2. Let u(n) = 9*n**3 + 4*n**2 + 5*n + 4. Determine o*u(y) + 5*p(y).\nAnswer: -2*y**3 - 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114*q - 987730 = 104*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 10\/16*8\/20. Let c(h) = h**3 - 5*h**2 + 4. Let t be c(5). Find j such that -t*j**2 - v + 2*j = 0.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/87 and 42\/495941.\nAnswer: 43146867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18.79 + 20. Let o = b - 0.46. Let g = 0.7695 - o. What is g rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 121570174.\nAnswer: 2, 11, 5525917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the first derivative of -h**3 + 241. Let u(f) = 39*f. Let m(r) = 8*r. Let n(s) = 24*m(s) - 5*u(s). What is q(n(j))?\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 3*a**2 - 79*a + 34. Let u be i(26). What is the common denominator of ((-3082)\/(-230))\/(1*u\/(-5)) and 67\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*j = 82*j + 14. Solve -5*o + 15 = -j*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + 4\/(144\/(-100)))*-1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -3, 1\/9, 7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1)\/f)**(-14)*(f\/(f*(f**(2\/21)\/f)\/f*f))\/f**(-3)*((f**(-1\/2)*f)**(2\/163))**(-40) assuming f is positive.\nAnswer: f**(108370\/3423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from oyoououy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 48070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 73909678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-4\/7)\/((i\/(i\/(i\/((i**(2\/15)\/i)\/i)))*i*i)\/i)*i**(1\/3)*i**(2\/9))**(6\/11) assuming i is positive.\nAnswer: i**(-2446\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 14273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*h = -26*h - 30. Suppose -h*s + 3*k + 30 = 5*k, 0 = -k + 5. What is the highest common factor of 128 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**1*d*d**(1\/12))\/(d**(-4\/9)\/(d*(d\/(d\/d**(-18\/11))*d)\/d*d)) assuming d is positive.\nAnswer: d**(1145\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 8:02 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24938572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z\/z**(1\/2)*z\/(z*z**(-2))*z*z*z**(4\/3)*z**(5\/4)*((z\/z**(-4\/5))\/(z**10*z*z))**(20\/13) assuming z is positive.\nAnswer: z**(-1187\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/10*669300\/(-2910)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.8 - 1.49. Let l = 0.19 + z. Suppose -4*j + 21 - 17 = 0. Which is the closest to 1?  (a) 0  (b) l  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 6, 36, 88, 162, 258, 376?\n\"Answer: 11*y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -134 + 126 - (-12 + 11 + 15)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -0.3  (b) -1\/2  (c) 9  (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.04 and 96863.6.\nAnswer: -3874.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the second derivative of -7*o**4\/24 - 5*o**3\/2 + 15*o**2\/2 - 11*o. Let a(d) be the first derivative of p(d). Is 4 a factor of a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 2*a - 10, -2*z - 15 = 4*a + z. Suppose -k = -a*k. Suppose -5 = q, 5*y + k*q - 3*q = 110. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 9  (b) 333  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*j - 11*j - 354 = -55*j. Let c(r) = -7*r - 7. Let u(s) = -s. Calculate j*u(p) - c(p).\nAnswer: p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4.98 - -0.02. Sort -11, -4, m in descending order.\nAnswer: m, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uhhhuhhhhhuhuu. Give prob of sequence uuuh.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(187)\/(sqrt(11)*-3))**2 - sqrt(612)*-3 - ((sqrt(272) - (sqrt(272) - (3 + sqrt(272)*2)**2)) + sqrt(272) + -6*2*sqrt(272)).\nAnswer: -9856\/9 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 965*f**2 + 6*f + 6. List the prime factors of d(-1).\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -28, -3, 2\/5, 16?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (150*f**2 - 150*f**2 - 11*f**3)*(-2 + 2 - 2)*(-2*f - 251 + 251) as l*f**2 + q + r*f + s*f**4 + b*f**3 and give s.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.0143668 nanograms?\nAnswer: 0.0000000000000143668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2a - 62419?\nAnswer: -62447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 4*s**2 - 2 - 1 - 3*s - 5*s**3 + 0*s + s to the form w*s + t*s**3 + j*s**2 + c and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 4*o + 1. Let j be x(-2). Let h be (-6 + 5)\/((-1)\/j). Is h smaller than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -18*h**3 - 608*h**2 + 32*h - 3278. Give i(-34).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12 + 13. Suppose -2*s + 5 = -f. What is the first derivative of 7 - 10 - 21 - 59*w**s + 72*w**3 wrt w?\nAnswer: 39*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 12\/9 - (-1)\/((-6)\/(-496)). Suppose -12*m + j = -0*m. Solve -9 = 4*x + m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -16*z**2 + 295*z + 10. What is the remainder when l(18) is divided by 76?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-16)\/(-8) + 14\/(-8). Let d = -107 - -179. Sort -2, d, -1\/2, s in increasing order.\nAnswer: -2, -1\/2, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 132301, 132339, 132377?\nAnswer: 132415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 + 7*r**2 - 1. Let x be s(5). Let p = x - 42. Let y be (2\/(-6))\/(p\/21). Which is smaller: 8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1683, 1, 5, -5.6, -3, 2\/13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (58 + (7 - 4))*5. Let c = -175 + q. Is 26 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**41\/p**(-30)*((p**(-20)*p)\/p)\/p**(2\/21) assuming p is positive.\nAnswer: p**(1069\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2d (base 16) to base 6\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 + -0.6. Let p = -323 - -326. What is the second smallest value in p, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/8, 0.5, -2\/5, 0.06879 in decreasing order.\nAnswer: 0.5, 1\/8, 0.06879, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3910 >= 3910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -11*n + 12. Let c be a(-12). Suppose 3*r - 216 - c = 0. Let k = 1682 + -1658. Calculate the highest common divisor of r and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3\/34 - -41\/306. Which is the nearest to 0.2?  (a) y  (b) 15  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (65 - 67) + -16 + 1 - (0 + -3)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -143*r**3 - 17*r**2 + 144*r**3 + 145*r**3 as g*r**3 + m + v*r**2 + n*r and give g.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -8*g - 3*g + 14 + 10*g**2 - 4*g**2. Let d be 2926\/539 - (0 + 4\/(-7)). Let c(r) = 2*r**2 - 4*r + 5. Give d*y(z) - 17*c(z).\nAnswer: 2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 114533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83*x - 482*x + 113*x + 92*x + 139*x.\nAnswer: -55*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*((l**(-1)*l*l)\/l)\/l*l)**37\/((l**6\/l*l)\/l*l**(2\/11)*l) assuming l is positive.\nAnswer: l**(339\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1837*z + 7499 - 24399 = 32699 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 23  (b) -468  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 4*n**3 + 31*n**2 + 22068*n + 176596. Give y(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3036 and 10580?\nAnswer: 349140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -17*c + 3. Determine k(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 80273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4730 is divided by 1058.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 36122153*n + 32619423?\nAnswer: 36122153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1004402 (base 6) to base 11.\nAnswer: 328a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 409 + -385. Calculate the least common multiple of l and 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42628 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -10 + 47*u + 14 + 10 - 18*u - 104*u. Let z(x) = x - 9. Let m be z(4). Is p(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57 + -37 + (-6 - (-506)\/(-154))?\nAnswer: 75\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the second derivative of -7\/6*f**3 + 0 + 78*f + 3*f**2. Let q(n) = 13*n - 11. Let p = 13 - 2. What is p*c(x) + 6*q(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 k when three letters picked without replacement from {r: 7, k: 4}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 28*y**2 - 21*y - 114. List the prime factors of a(-8).\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-4)*8\/22\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (-16 - (-3 + -14)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-12))\/(56\/(-448))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*o = -5814 - 5925. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9815521 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 4*k - 3454. Suppose -188 + k = 9*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -130*s**2 - 131*s + 299. Give o(3).\nAnswer: -1264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 11*w - 5. Let c(p) = 3*p + 34. What is the remainder when m(2) is divided by c(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -7db1 + -4?\nAnswer: -7db5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 56\/3 + 15\/(-4320)*-24 + (-4)\/(-16).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u + 23 = -58. Solve -29*p + 26*p - u = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4193877794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 10*h + 36. Which is the second smallest value?  (a) -0.05  (b) h  (c) 0.6  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -111*t**2 - 67*t + 4. Let q be c(6). Let u = 2664 + q. Round u to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13120205 is divided by 49510.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -198*z**2 - 272836*z + 11024.\nAnswer: -2*(z + 1378)*(99*z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 + (-12 - (9 - ((-11 - -9) + 10))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1ddd (base 15) to base 2\nAnswer: 1100101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-49)\/42*(-204)\/(-21)*(-9)\/24\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of 11*w**2 + 1\/6*w**3 + 0*w - 1\/12*w**4 + 0. Calculate t(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/(-18)*(-74)\/(-185))\/(-2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26616934925017*c - 26616934925017*c - 3*c**3 - c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 37 - 24. Let f be (-35)\/(-7)*(-1 + -4). Let c(b) = b**3 + 23*b**2 - 51*b + 25. What is the remainder when c(f) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyxkx. Give prob of picking 2 x and 2 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-12)\/(-14))\/((-128)\/(-2576)) and -20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w and 1 e when four letters picked without replacement from mvevewvevnmnwvewmv.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (109 - 172 - -8) + 7 + -2 + 3\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11881 is divided by 208?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -40.22028 + 6.83398. Let r = f + 33.4. What is r rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -381.19 rounded to the nearest integer?\nAnswer: -381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8005?\nAnswer: 5, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 + 0)\/((-1)\/(-3)). Let h = 10 - 37. Let w be h\/36 - (-1)\/(-4). Sort w, -4, n in descending order.\nAnswer: w, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-7)\/(70\/18))\/((-3)\/10). Let y(m) be the third derivative of m**4\/6 + m**3\/3 - m**2. What is the remainder when y(n) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 4  (c) 0  (d) -2  (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 51\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q = 5*q - 4498. What are the prime factors of q?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 + 12 - (-8 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -4*s + 11. Give q(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -36485000 to the nearest 100000.\nAnswer: -36500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum -95479 and 1.\nAnswer: -95478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the second derivative of 59*h**6\/15 + 23*h**2 + 89*h - 1. Find the first derivative of i(x) wrt x.\nAnswer: 472*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29897?\nAnswer: 7, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 198 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 24562 - 24568. Let u(j) be the second derivative of j**5\/20 + j**4\/2 + j**3\/6 + 3*j**2\/2 - j. Calculate u(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 3*c + 6, c - 12 = -g + 6*c. Let y be ((-360)\/(-240))\/(3\/(-2)). Suppose 2*z = z + 2. Put z, y, g in decreasing order.\nAnswer: z, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -5*r + 55. Suppose -3*t + 191 = -r. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 3*f - f + 1 + f - 4*f. Let u be j(-1). Differentiate -2 - 4*b**4 + 0 + u + 6 with respect to b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 586, 2412, 5470, 9760, 15282, 22036?\nAnswer: 30022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-eight thirds of a century in months?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -275 + 273 = -2*l. Let x = -6 - -3. Sort l, x, -5 in descending order.\nAnswer: l, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 32 + -31.74. Let m = d + 3.74. Let q(f) = f**3 - 4*f**2 - 6*f + 5. Let w be q(5). Which is the closest to w?  (a) -1\/2  (b) m  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -97*m - 3996. Let f(r) = 28*r + 1332. Give 7*f(y) + 2*s(y).\nAnswer: 2*y + 1332","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -5, 2, 15, 20 in decreasing order.\nAnswer: 20, 15, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-39)\/(-12) + 3\/(-12). Suppose 0 = -x - p*x. Let i = 1 - 2. Is x bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 0*m**4 + 1 + m**4 - 3 - m**2 to the form r*m + n + h*m**4 + q*m**2 + u*m**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-12)\/14*7\/(-14). Which is the smallest value?  (a) -3\/2  (b) 4  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 - 0. Which is the nearest to 2\/5?  (a) 0  (b) -2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**4\/4 - 51*a**3\/4 + 289*a**2.\nAnswer: -a**2*(a - 17)*(a + 68)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2301034 (base 5) in base 16?\nAnswer: 9f41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -388.7 and -28.9?\nAnswer: 11233.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, -3, 43\/4, 104416?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -18*i - 139. What is g(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 4, x: 2, y: 2}. Give prob of sequence xx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6461.\nAnswer: 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1972058 - 670389. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -13521, -55190, -124631, -221844, -346829, -499586?\n\"Answer: -13886*r**2 - 11*r + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1133 and 191477?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) -0.3  (c) 0.3  (d) 1  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4368 divided by -4?\nAnswer: -1092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from vccmccrvcllmlcv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(684))*-6 + -3 + sqrt(684) + 1 + sqrt(684) + 4.\nAnswer: -24*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iggixxgigicgggggggcg. Give prob of picking 2 i.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -111\/14 and 58\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2185.\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 52 and 4212?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 6*y + 75. Let z = 310 - 317. Let u(x) = -8*x - 2. What is the least common multiple of u(-4) and m(z)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5697*t**5 + 5530*t**5 - 6*t - 9*t + (-4 + 4 + 2*t**2)*(t**3 + 3*t**3 - 3*t**3).\nAnswer: -165*t**5 - 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2572 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/8)\/(2\/8). Let p be 3\/6*4\/n. Let t be (-2)\/(-6)*(10 - 14 - 0). Which is the closest to p?  (a) 2\/5  (b) t  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 - -8. Suppose y*k = -0*l + 3*l + 18, -2*k = -4*l - 22. Let n = -1 + k. Solve 4*h - 6 = n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*j**3 - 2390*j**2 - 384668*j - 13258960 = 0. Calculate j.\nAnswer: -95, -52, 1342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-5)*i\/(i**(2\/3)*i)*(i\/i**(-1\/6))\/i**(-3\/2) assuming i is positive.\nAnswer: i**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 43*b**2 + 6*b - 13. What is the tens digit of t(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1800) + 1 + 2.\nAnswer: 3 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/3244 and 367\/(-88) - (-7 + 110\/16).\nAnswer: 35684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (19 - 3 - 13) + (-4 - -25 - -2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 4 = -6*n. Suppose -n + 6 = -2*a. Let h = -2 - a. Solve h = 2*y + 3*y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 33 and 93\/6106546.\nAnswer: 6106546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 55*f**2 - 52*f**2 + 131*f**2. Let w(c) = 6*c. Calculate h(w(l)).\nAnswer: 4824*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.4642 rounded to three decimal places?\nAnswer: -1.464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - 0)\/(6\/12). Let l(y) = 2*y**3 - 11*y**3 + 61*y**z - y - 60*y**2. What is l(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**3 + 7*v**2 - 2*v - 7. Let t be y(5). Suppose 40 = -0*w - 2*w. Let m = t + w. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8143329503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/(v\/((v*v**(-1\/9))\/v)))*v)\/v**(-6))\/(v*v*v*v**(-1\/2)*v)**(-11) assuming v is positive.\nAnswer: v**(839\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1623518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9307 is divided by 274?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 8, h: 3, i: 6, f: 1}. What is prob of picking 2 h?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*p**31*p*p*p*p**(-41) assuming p is positive.\nAnswer: p**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -5370, -5859, -6674, -7815, -9282, -11075, -13194?\n\"Answer: -163*f**2 - 5207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 145, 345, 607, 931, 1317, 1765?\n\"Answer: 31*x**2 + 107*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69163550.\nAnswer: 2, 5, 29, 47699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2565182 + 3429.6.\nAnswer: 2568611.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 0.2, -599985.\nAnswer: -599985, -1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 2*p**3 - 3*p**2 + 2*p**2 - 2 - 3*p**3. Let a be c(-2). Suppose 0 = -2*f - 2*i - a*i + 38, 5*f + 5*i - 70 = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1293258739?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -6.4, 3\/8, -2\/9?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -4323661.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 850280 divided by 8?\nAnswer: 106285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/60 and 125\/40968.\nAnswer: 204840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 77567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 10a (base 13) to base 14\nAnswer: cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9161 + -9154. Which is the fifth smallest value?  (a) -0.5  (b) 4  (c) 0.24  (d) 3  (e) g\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2, 0, 19 in decreasing order.\nAnswer: 19, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4376 = 4*j - 4*o, 3*j - 3267 = -4*o + 2*o. Is j a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -11c4 - 7731?\nAnswer: -88f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32054401.\nAnswer: 17, 1885553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1850623008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 3*g + 1. Let t(h) = 15*h + 6. Calculate 11*f(p) - 2*t(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-4)*(-84)\/(-756)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30*(-12)\/54*(-51)\/(-17)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 - 22*z**2 + z + 31. Give p(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 2*p - 347, -10*p = 2*l - 12*p - 694. What is the first derivative of -4*n - 346*n**2 + l*n**2 + 2*n - 14 wrt n?\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35073?\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*m**3 - 45 - 14 + 5*m**3 + 3 - 23 + 1.\nAnswer: 12*m**3 - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -165117*y**2 - 1515*y**3 + 165117*y**2.\nAnswer: -1515*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -10100 (base 2) in base 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1.1 + -12482278664.8\nAnswer: -12482278663.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**2 + 6*w + 26. Let y be a(-12). Suppose 103*u - y*u - 15 = 0. Let p(n) = n**3 - 6*n**2 + n - 2. Let t be p(6). Put 0, u, t in ascending order.\nAnswer: 0, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -35, -27, -29, -47, -87, -155?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 976 and 1342.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(45)*2.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, -9, 1.4, 4261?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -63, -72, -95, -138, -207?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnniinnzinuuiin. Give prob of picking 2 i.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the third derivative of t**5\/60 - t**4\/4 + 3*t**3\/2 + 2*t**2. What is o(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-1*(-4*2*sqrt(7)*-6 - (-2*sqrt(847) + -3))*-6)**2.\nAnswer: 544320*sqrt(7) + 44464464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 455.8 - 456. Is 58 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to 4\/38513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (3 - 6 - 8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 16\/72 + (-4)\/18. Suppose -22 = -2*i - 4*k, 21 = -j*i + 2*i + 3*k. Let w = -3 + i. Calculate the remainder when 16 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/4*4\/6 - 102. Let u = -90 - o. Suppose 19*w = u*w + 996. What is the remainder when w is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 - 221 = -2*y + 3*u, -4*y + u = -507. What is the highest common divisor of y and 1050?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (15030917\/55)\/37 + 18\/10 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-one quarters of a micrometer in nanometers?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1385381 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 9412+83259850\nAnswer: 83269262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36413864?\nAnswer: 2, 17, 267749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 + 3*g**2 + 5*g - 2. Let m be (-22)\/6 - (-4)\/6. Let y = 7 + m. Let u be s(y). Solve 0 = -k - u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6241\/2 + 1\/2*u**2 + 79*u = 0 for u.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -6*n + 6. Let w(u) = 0 - 5*u + 4*u + 1. Suppose 298*v = 639*v - 91*v + 750. Calculate v*a(y) + 16*w(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-2*6*sqrt(1872)*1*2*-4)**2 + 0.\nAnswer: -86261760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes after 9:58 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -119 + 3aa9?\nAnswer: 3990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*n = -7016 + 7016. Solve n*q + 2*g - 12 = 4*q, -3*g = -q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9802673 litres to millilitres.\nAnswer: 980.2673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12*(-8)\/(-28)*3339\/212?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3 - 65891526*v**2 - 131783049*v - 65891524.\nAnswer: -(v + 1)**2*(v + 65891524)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*y**2 - 1305*y - 937*y - y**2 - y**2.\nAnswer: 2*y**2 - 2242*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 93624539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 3, -2, -4, -34.\nAnswer: -34, -12, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 346 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/360 and -47\/9220.\nAnswer: 165960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 17 - 49 = 0. Suppose l - 84 = -l. What is the least common multiple of l and j?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 28396.\nAnswer: 113584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -79682.925706 + 79683. What is a rounded to 4 decimal places?\nAnswer: 0.0743","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 83*r - 359*r**3 - 3374*r**5 + 1237*r + 359*r**3 + 1437*r wrt r?\nAnswer: -67480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = 2*i - 6, -4*i - 436*z + 10 = -441*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*o + 3 - 4 + 2 + 13*o + 257*o as g + m*o and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is 3439 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 2*f - 113 = 0, -3*j + 49 = -4*f - 300. Suppose -18*c = -j + 987. Suppose -3*d - 2*n - 22 - 118 = 0, 3*d + n = -142. Is d at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -105 + 311. Let w = 586 - v. Round w to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*v + 3*v - 3*v - 9 + v in the form x*v + k and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2335 - -2442. Is q less than 542\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 127733009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 + (-22 - 0 - (-316 + 343))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 1\/5, 3, 1, 2014?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -9*z**3 + 34*z**2 + 4*z - 4. Let x(y) = -2*y**3 + y - 1. Calculate s(w) - 3*x(w).\nAnswer: -3*w**3 + 34*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - (-2502)\/(-2574)) + (-2)\/11. Sort -4, q, 3, -3.\nAnswer: -4, -3, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n - 1 + 2*n - 2*n)*(51 - 13 + 63).\nAnswer: -202*n - 101","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 28 divided by -61\nAnswer: -28\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -700\/17 - -41. What is the smallest value in 0, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f - 4*f - f)*(0 - 1 + 2)*(3 - 15 + 160).\nAnswer: -148*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 212686 is divided by 13088?\nAnswer: 3278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22205325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 782413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 161\/46*3\/(-21).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -6527*11\nAnswer: -71797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -7*y**3 - 4*y**2 + y + 3. Suppose -6*i - 30 + 126 = 0. Calculate the remainder when a(-3) is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2488*g = 3*w + 2492*g - 14, 0 = -3*w + 4*g - 26 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/2)*(r*r**(-2))\/r)\/(r**(-18)*r*r**41\/r*r) assuming r is positive.\nAnswer: r**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 8) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 212550?\nAnswer: 2, 3, 5, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 + -5559838918078.\nAnswer: -5559838918078.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -8*n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/3)\/(1*48\/(-32)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -a - 5*i, 0 = -3*a + 4*i - 6*i + 19. Suppose -z = -a - 2. Let r = 38 - z. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*b = -18*b - 1521 + 1101 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10*w - 14\/3 - 4\/3*w**2.\nAnswer: -2*(w - 7)*(2*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13610 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -78*m**3 + m**2. Let w be t(-1). Let u = w - 69. What is the lowest common multiple of u and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - -8. Let c(a) = -a**2 + 3*a - 2. Determine c(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 21\/2 of a century?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1 and 1356?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 20130633 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes after 3:46 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:18 PM and 5:32 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 6*i + 80. Calculate the remainder when v(0) is divided by 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27.2 - -70181716171?\nAnswer: 70181716143.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g*g*g\/(g*g**(-1))*g))**(-1\/18)\/(g*g*g**0*g*g*g)**(13\/6))\/(g*(g*(g\/g**(2\/7))\/g*g)\/g*g**3*g)**9 assuming g is positive.\nAnswer: g**(-7817\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 + 26 = -4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 93, 181, 269?\n\"Answer: 88*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= 12\/161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -7*g. Let k(q) = -29*q**2 + 17*q - 2. What is o(k(n))?\nAnswer: 203*n**2 - 119*n + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 7 - 10. What is the remainder when 3\/1*n - 3 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 + q + 1. Let z(v) = -7*v**2 - 13*v - 16. Let c(a) = 6*o(a) + z(a). Let i be c(-5). Solve i = 2*h - 4*p - 0*p + 14, 3*h = -2*p + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11368 or -11127?\nAnswer: -11127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 215347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 3*c = -5*w - 60, 0 = -c + 3*w + 14. Let z(b) = b**2 - 7*b - 14. Let i be z(c). Let p = 52 - 32. Calculate the greatest common divisor of i and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.764 - -3.164. Which is the closest to 0?  (a) f  (b) 35  (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -702, -2817, -6344, -11283, -17634, -25397?\n\"Answer: -706*t**2 + 3*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 28272 - 12593. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 85*f**3 - 7*f**2 - 12*f - 8. Let i(t) = 85*t**3 - 8*t**2 - 9*t - 6. Calculate 4*i(w) - 3*u(w).\nAnswer: 85*w**3 - 11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*g + 2 + 28. Put 4, g, -2, -4 in decreasing order.\nAnswer: g, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.7 - 2.3. Sort -3\/5, m, 1\/7 in descending order.\nAnswer: 1\/7, -3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 1471084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 468805 - 468805 + 428*w.\nAnswer: 428*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9473.\nAnswer: 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 591*z**2 - 10*z + 2. Let f(x) = -596*x**2 + 12*x - 3. What is -6*d(g) - 5*f(g)?\nAnswer: -566*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2.5043999 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 1 = -u - 7, 3*u - 5*r - 62 = 0. Suppose u*q - 180 = -q. Calculate the remainder when 22 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**2 - c. Let y be p(2). Let g be -5*-2*y\/20. Put 4, 3, g in increasing order.\nAnswer: g, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, 14, 394, 1.53?\nAnswer: 394","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-28))\/(198\/(-4851))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 717270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:06 AM and 2:32 PM?\nAnswer: 686","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 54640356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3424, 27570, 93104, 220720, 431112, 744974?\nAnswer: 1183000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7063*29 + (117\/21 - (-45)\/105) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2093 or -525605\/251?\nAnswer: -525605\/251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 238079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -43419 + 0.2.\nAnswer: -43418.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.114375 to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-503 - 298 - 375)*(2*x**2 + x**2 + x**2) as y*x + a + o*x**2 and give o.\nAnswer: -4704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 7*v**3 + 17*v**2 + 8*v + 62. Let m(b) = -2*b**3 + b + 1. Let z(d) = -j(d) - 4*m(d). Calculate the lowest common multiple of 7 and z(18).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -49 - -52.3. Let i = 4.15 - z. Round i to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -14 in 2\/3, 54\/11, 5\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 234198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6630 + -3360. Let w be j\/70 - 9 - (-4)\/14. Calculate the highest common divisor of w and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2 + 13*c - 9. Calculate o(15).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/5))**20*k**7\/k*k*k**9 assuming k is positive.\nAnswer: k**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -432\/703?\nAnswer: -432\/703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (40*y + 41*y + 12*y)*(0 + 0 + 1)*(2 - 4 + 4)*(0 + 2 + 0) in the form z + c*y and give c.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17296 and 1269094.\nAnswer: 2162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16 and 372.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-1\/2))**(-27)*(v*v**(-3\/4))**(-2\/29))**(2\/29))**(-32) assuming v is positive.\nAnswer: v**(-25024\/841)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 3*l**5 - 4207617*l**4 - 15*l**3 + 21038085*l**2 + 12*l - 16830468 = 0.\nAnswer: -2, -1, 1, 2, 1402539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**3 - a**2 + 2*a. Let j be n(-2). Suppose 4*y = -j*y + 12. What is the second derivative of 4*m**y + 3*m + 3*m - 11*m wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (9\/(9\/(-3)))\/(-1). Suppose a - m*v + 4*v = 6, 0 = 2*a - 2*v + 4. Solve a*j - 8 = -0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 24*q + 306. Let y be c(-13). Let j(p) = p**2 + 14*p + 23. Determine j(y).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + (4 - (-9 + -15)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 300 (base 8) to base 3\nAnswer: 21010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 870 is divided by (-1734)\/(-18) - ((-32)\/12 - -2)?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*r - 466 = 184. What is the greatest common factor of 20 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 67, 134, 201, 268?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -20, -0.4, 212, -3, 0.5, -3\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1)\/(-2))\/((-26)\/(-8)). Let f = -30.7 - -36. Let d = f + -0.3. Which is the third biggest value?  (a) d  (b) 1  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = z + 29, 3*z = -0*z + 4*j - 62. Let d be 12\/z*(-7)\/1. Suppose q - 3 = d. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 PM and 1:02 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 57120 and 255.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*h - 29*h + 60. Solve o + 9 = -3*p, 1 = -p - h*o + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12 - 1020?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5983 - 5979.855. What is k rounded to one decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 268112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -3*d + 5. Let t(s) = -315*s - 318*s + 635*s - 30 + 27. What is 6*b(q) + 10*t(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -13419688934141 plus 0.4?\nAnswer: -13419688934140.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1946\/5 < 389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11686, 11677, 11662, 11641, 11614?\nAnswer: 11581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 98737?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t + 101513 - 68809 = -356464. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*j**3 - 506*j**2 + 36*j**2 + 346*j**3.\nAnswer: 408*j**3 - 470*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53990900.\nAnswer: 2, 5, 59, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 11\/(-352)*-8*-4. Which is smaller: 2\/309 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2904797 is divided by 664.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**2 + 5*y + 6. Suppose 29*o = 27*o + 8. Let w be d(o). Solve -6*u + w*u = 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-8))\/(1\/((-7)\/(21\/156))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 4*d**2. Let i(j) = -2*j. Let g(p) = -p**2 - 6*p. Let m(u) = -2*g(u) + 6*i(u). Calculate m(f(s)).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:23 PM and 4:21 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1592124.\nAnswer: 2, 3, 19, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 833, 826, 823, 830, 853, 898?\n\"Answer: q**3 - 4*q**2 - 2*q + 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - (9 + (-7 + 8 - 6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002783 to 5 dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -110.2302 + -1.6818. Let x = r - 0.088. Let f = 112.83 + x. Round f to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6a (base 13) to base 2.\nAnswer: -1011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -68.3855 * 0.1.\nAnswer: -6.83855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -14, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -1 - (-1 + -5)) + 147 + -140?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2052135 is divided by 1026053.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.5571910416606 + 0.23\nAnswer: -0.3271910416606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -112 + 122. What is the greatest common factor of 320 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -128 = 3*x - 5*b, 4*x - 3*b = -38 - 140. Let w(r) = 3*r - 16. Let s be w(-5). Let f = s - x. 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: -3 - (1 - 5 - (-3 - 0))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 332.9225 - -0.0775. Let h = 348.1 - b. Round h to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mee when three letters picked without replacement from eeeemm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 9*h = 330. Let b = -61 + h. Solve -3*u - 9 = -0, 0 = -b*d - 3*u - 34 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*h**3 - 4*h**3 + 3*h**3 + 2*h**3 - 2*h**2 to r + f*h**2 + w*h + g*h**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6743668.\nAnswer: 2, 1685917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 5, q: 2, h: 7, o: 4}. What is prob of sequence qho?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 326 is divided by 112?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 3*k - 69, -6*k - i = -k - 115. Let z = k + -3. Suppose z = -0*g + 2*g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11717631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 249603 by -1.\nAnswer: -249603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9200)\/(-19136) + (-38)\/(-8))\/(4\/(-2)).\nAnswer: -34\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 615 + -618 + (-34 - 8 - -4)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 54\/5*m**2 - 21*m - 1\/5*m**3 + 52\/5 = 0.\nAnswer: 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (108 + -183 - -37) + 0 + 134\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of -2*a**2 + 23*a - 14. Let i be c(7). Let s(m) = -3*m**2 + 2*m - 5. Let o(y) = 4*y**2 - 2*y + 6. Calculate i*s(g) - 4*o(g).\nAnswer: -g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand k**5 - k**5 + k**5 + (18*k**2 + 4*k**2 - 5*k**2)*(-2*k**2 - k**3 + 2*k**2) + 10*k**4 - 9*k**5 - 10*k**4.\nAnswer: -25*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -3\/4, -0.2, -2\/17, 39?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8 - -7.96. Let u = -0.36 + c. Let t = 74 - 514\/7. What is the nearest to -2 in t, -0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4028 and 583.\nAnswer: 44308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 11:04 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1640 - 0?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 168902 is divided by 816?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11653419.\nAnswer: 3, 3884473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y - z + 3*z + 20, -2*y - 5*z + 5 = 0. Let m be 12\/y*(3 - 8). Suppose 0 = 3*t - 6 - m. Solve t = -j - 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -6, -20, 13290, -4 in increasing order.\nAnswer: -20, -6, -4, 2, 13290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 129 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2.34756l?\nAnswer: 2347.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = 316 - 320 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 6\/25 of a microsecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 999, 1000, 1001, 1002, 1003, 1004?\n\"Answer: y + 998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 337638339.\nAnswer: 3, 37515371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 15*g**2*k - 2*g**2 + 100908*g*k + 3*g + 1854765*k + 4 wrt g.\nAnswer: 30*g*k - 4*g + 100908*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 + 1. Suppose 0 = d*f - 7 + 1. Solve 3*m + 2*g = 19, -2*m - f*g - 9 = -6*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 a factor of 1360697878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15*a**3 - 1535*a**2 + 2418*a + 14 wrt a.\nAnswer: -90*a - 3070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-20)\/36*1)\/((-74)\/(-8)) and 43\/90.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - 17409?\nAnswer: -17411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1690 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 4*u + 2. Let d(r) = 41*r**3 + 2*r**2 - 8*r. Give 2*b(h) + d(h).\nAnswer: 41*h**3 + 2*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*u - 9*u = 60. Suppose u = -3*y - 3*y. Put -3, y, 5 in ascending order.\nAnswer: y, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -70 + 79. Suppose o = 5*y + 18, o - 3*y - g = -y. Suppose 4*q + 21 = 5*j, -5*q + 5*j = o*j + 39. Which is smaller: -5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 55 - 43 - (2 + -5)\/(-1). Let l be ((-2)\/5)\/((-460)\/50 + f). Solve 6*q - 2*q - l*r + 20 = 0, q + 4*r - 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - y = 2. Let p(u) = 3 + u + 186*u**3 - u + u**2 - 187*u**3. Let b(z) = -1. Determine y*p(k) - 7*b(k).\nAnswer: 2*k**3 - 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -442199745.02917 - -442201732. Let t = -1987 + g. What is t rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8567 + 8582. Solve 2*q = 2*b - 19 + v, -2*q - 3 = -b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*p + 2 = 68. Suppose -29 = -p*a + 199. Let y = 108 - a. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 51 - ((173 - -72) + -283)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12320\/25357 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4 or 156.1?\nAnswer: 156.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i + 1. Let s(r) = -r**2 - 12*r + 1. Let c(p) = -3*q(p) - s(p). What is c(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2\/287?\nAnswer: 2\/287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 23206432589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12 - -4. Let l = q + 7.7. Let d = 0.2 - l. Which is the third biggest value?  (a) d  (b) 5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a week in minutes?\nAnswer: 66528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/(o\/(o**(-5\/2)*o)))*o)**49\/(o**(-5)\/o*o*((o\/(o\/o**6)*o)\/o)\/o*o) assuming o is positive.\nAnswer: o**(341\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000101629 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 65*m + 1.\nAnswer: -65*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24.36 - -25.36. Which is the nearest to g?  (a) 2\/5  (b) -1.6  (c) -5  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z = -17*z - 31750000. Round z to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lililllll. Give prob of sequence lii.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21, 30, 49, 78, 117, 166?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -247 = -2*x - 5*m, -4*m + 6 = -x + 136. Let k(j) = -3*j. Let h = -10 - -4. Let f be k(h). What is the greatest common divisor of f and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the first derivative of -8*p**6\/3 + 16*p**3\/3 - 17. Find the third derivative of q(k) wrt k.\nAnswer: -960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*l - 34*l = 900. Suppose 12*m = 876 - l. Is m a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -280 - -280.5. Which is the closest to -0.2?  (a) -0.7  (b) -4  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 (base 8) in base 2?\nAnswer: 10100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 658276?\nAnswer: 2, 164569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 6, 1 in increasing order.\nAnswer: -3, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 87538 (base 11) to base 7\nAnswer: 1036346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*o + 8 = -11*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 551.9  (b) -0.5  (c) -0.05  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*q + 21 + 19 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.36 - -0.3. Let s = 0.34 - q. What is the third biggest value in s, 5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -36 or -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 + 23*p + 45. Let b be o(25). Let n = 2.6 + -0.6. What is the third smallest value in 0.4, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.02 > 2380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pppcypzpp. Give prob of picking 1 y, 1 c, and 1 z.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 56 and 195076?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 262*j = 392*j + 490*j - 105789980. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/n**5*(n*n**(1\/8))\/n*n*n*(n\/(n\/(n\/(n**(-2\/7)\/n))))**49 assuming n is positive.\nAnswer: n**(881\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*c + 2360 - 3310 = 0 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2\/7 - 96407166*a\/7 + 2323585414037889\/7.\nAnswer: (a - 48203583)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -398025?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 5*b - 1. Let f be h(1). Suppose -p = -3*k - 8, 25 = f*p - 0*p - 5*k. Let z(l) = -l**2 + 4*l + 6. Determine z(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -456 + 261 = 13*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 50 - 81. Let y be -3*q\/54 - 8\/36. Suppose -y*f**3 - 3*f**2 - 3\/2*f + 0 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(3\/5)\/(t*t**(1\/7)\/t))**(21\/4) assuming t is positive.\nAnswer: t**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -13 in 3, 14, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 5*z + 23 + 9 = 0, -18 = -5*d + 3*z. Let g(s) = -s - 4. Let m be g(-6). Solve -y = 4*b - 13 + 36, -m*y - d = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 23*d**4 + 2*d**3*g**2 + 4*d**3*g + 216*d**2*g - 2*d*g**2 wrt d.\nAnswer: 552*d + 12*g**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1240195451 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10*u + 0*u - 2*u)*(-2*u + 5*u + 0*u + 2*u + 1 - 4 + 7 + (u + u + 0*u)*(3 - 3 - 4)) as b*u + t*u**2 + r and give t.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*g**4 - 23324*g**3 - 134298*g**2 - 177984*g + 46440 = 0. What is g?\nAnswer: -1290, -3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -119*x + 59*x + 38*x + 49*x - 18*x**2 - 3*x**2.\nAnswer: -21*x**2 + 27*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -5 - (-57 + 61) - 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l\/(l*l**(1\/3))))\/l*l**0\/l)\/(l**(1\/2)*l)**(-2\/57) assuming l is positive.\nAnswer: l**(-35\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2 - 4*a - 4. Let c be l(-3). Let k(u) = -u**2 - 2. Let v(s) = 1. Suppose -1 - 5 = -3*y, -15 = 3*b - 3*y. Calculate b*v(w) + c*k(w).\nAnswer: w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.2 - -0.1. Let q = 55 - 55.2. Which is the closest to 4?  (a) f  (b) q  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -18*z**2 + 106*z + 19. Let x be q(6). Solve -x*l + 51 = 51 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23147009 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: Let c(v) = -64*v + 3790. What are the prime factors of c(43)?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -42209, -42210, -42211, -42212, -42213?\nAnswer: -42214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 - 0 - 1 - (47 + -7). Let n = 42 + m. Solve -4*z - 8 = -s, -4*s - z - n = 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2429 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -5*(sqrt(162) + (-5*(3 + sqrt(162)) - sqrt(162)) + -4)**2)*-1.\nAnswer: 8550*sqrt(2) + 22053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13767 + 13928. What is the remainder when 292 is divided by j?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*i**3 - 2*i**3 + 206 - 206.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of -2*g**3\/3 + 19. Suppose -2*q + 1 + 7 = 0. Let f(a) = -2*a - q*a + a. Give f(z(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -61 + 61. Sort k, 1, 1\/3 in decreasing order.\nAnswer: 1, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 d, 1 q, and 1 g when four letters picked without replacement from ujuhhduhujqjqjqugj?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 25 - 25.3. Which is the nearest to n?  (a) -3  (b) -0.6  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 AM and 11:34 AM?\nAnswer: 554","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 5*l - c + 5, 5*l + 5*c = 5. Let k = l + 4. Suppose -7 = 2*u - 5*a, u = k*a + 1 - 2. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (48\/(-15))\/(1\/(-10)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 4 - 1)*(3 - 4 - 1)*(-z**3 + z**3 + z**4).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 25 - 34. Let l = j + 12. Which is the nearest to 1?  (a) l  (b) 5  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 plus -44362?\nAnswer: -44361.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 111 = 24. Suppose 0 = x + 3*h - 26, 0 = 3*x - 4*x - 5*h + 34. What is the remainder when t is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1726297, -3452597, -5178897, -6905197?\nAnswer: -8631497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 130790839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*n + 1406 - 1388 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 2)*(28*b - 31*b + 190*b).\nAnswer: -187*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*m**3 - 54*m + 25*m + 29*m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-20)\/(-6)*(-6)\/(-4). Let c(d) = r - 5 - d**2. Let l(w) be the third derivative of -w**4\/12 + w**2. What is l(c(x))?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -4*d + 22. Let v be b(5). Suppose 4*y - a + 23 - 193 = 0, 0 = -5*y - v*a + 219. Which is smaller: 42 or y?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 429 is divided by 380.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24522 and 2658.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of 0*s - s**2 + 0 + 19\/6*s**3 - 7\/12*s**4. Find the first derivative of g(f) wrt f.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 414491 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -5*c - 4. Let q be l(0). Let b(p) = 6*p + 28. Let m be b(q). Factor -2\/7*d**m + 2\/7*d**2 - 2\/7*d + 2\/7*d**3 + 0.\nAnswer: -2*d*(d - 1)**2*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, q: 13}. Give prob of picking 2 q and 2 n.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20 - -28) + -34 + 62 + -34?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3.4525, 0, -2, 47 in decreasing order.\nAnswer: 47, 0, -2, -3.4525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = a - 8, 0 = -38*a + 37*a - 3*u - 24 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -118, -1047, -3576, -8503, -16626, -28743?\n\"Answer: -133*k**3 - 2*k**2 + 8*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (270\/(-12))\/(1\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 63\/2836 and 91\/6848?\nAnswer: 4855232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2636 is divided by 240?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oohojxohwjohojh. What is prob of sequence jhw?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -1181230\nAnswer: 1\/236246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 26 - 18. Suppose 0 = z - 2. Suppose -2*v + v - 4 = -z*i, -4*v = -h. Solve -5*b = -i*l + 29, 9*l - b = 4*l + 19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 60, 3, -5, 32721 in increasing order.\nAnswer: -5, 3, 60, 32721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.7 + -1.8. Let v = -4.6 - s. Let j = v - -4. Which is the closest to -0.1?  (a) j  (b) 3  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 3*g**2 + 122*g. Let j(b) = 70*b**2 + 2926*b. Determine -49*d(n) + 2*j(n).\nAnswer: -7*n**2 - 126*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 152 = 2*x, -5*a + 218 = 3*x - 0*x. Suppose -2*u - 3*r = 43 + x, 0 = 2*u + 2*r + 114. Let w = 164 + u. What are the prime factors of w?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 166410, 166356, 166266, 166140, 165978, 165780, 165546?\nAnswer: 165276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5732396 is divided by 2675?\nAnswer: 2546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22, 32, 64, 130, 242, 412?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 2*w**2\/9 + 1534*w\/9 - 512\/3 = 0.\nAnswer: -768, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the first derivative of 75*j**4\/4 - 85*j**3 - 10947*j**2\/2 + 65559*j - 575. Factor n(x).\nAnswer: 3*(x + 13)*(5*x - 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**31*k)\/((k\/((k*k**(5\/4))\/k))\/k*k)*(k**(-7))**(3\/25))**37 assuming k is positive.\nAnswer: k**(116217\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -29*h**2 - 495*h + 257050. Determine w(86).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes before 2:22 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**2 + 9. Suppose 5*x - f = 2, -f + 0 = 2. Determine r(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -119 + 123. Suppose 2*g - 2067 = 5*r - 2*r, 0 = g - s*r - 1031. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -3*a + 15, -4*a = i - 3*i - 8. Let t(b) = 2*b + 2. Let w(c) = 7*c + 6. Let n(u) = 8*t(u) - 3*w(u). Give n(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 m when three letters picked without replacement from {x: 5, m: 4, r: 7, p: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2 - 4*y - 1653. Give i(42).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -4*m**2 - 2*m + 9. Calculate g(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 2 b when four letters picked without replacement from {b: 4, e: 1, s: 1, t: 1, n: 2, i: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -3 - (-5 + (13 - 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:29 AM and 5:20 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*l**4*o - 9*l**4 + 308*l**3*o - 17361*l**2*o wrt l?\nAnswer: -48*l*o - 216*l + 1848*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the second derivative of d**7\/15 - d**4\/8 - 3*d**2 + 6*d. Let i(n) be the first derivative of o(n). Find the second derivative of i(k) wrt k.\nAnswer: 168*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*s = 40*s + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4 - 5)*(-3*v + v + 3*v) + 243*v - 1 + 1 - 223*v.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 95*s**2 - 139*s - 926. What is the thousands digit of y(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -460*y - 2761. Determine q(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmp when three letters picked without replacement from {m: 4, u: 2, z: 8, p: 2, s: 2, k: 1}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3941*j + 11020*j = -28316 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sswwssrwsfss. What is prob of sequence srf?\nAnswer: 7\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**3 + 7*j**2 + 6*j - 5. Let u be d(-6). Let x = u - -12. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w*w**(-24)*w))\/(w**(-7\/2)\/w))\/(w\/w**21*w*w*w**22) assuming w is positive.\nAnswer: w**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2290156)\/71610 - (-160)\/5?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**3 - t**2 + 4*t + 3. Let w be x(0). Let q be (400\/(-6))\/(w - 24\/9). Is q less than -200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 129523 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 2*s - 16, 1 = 4*s - 2*l - 15. Let f be 2*s\/(-6) + 1. Let m = -47 + 46. Which is bigger: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -161 - 173*q**3 + 161 + 2*q**3 + 2*q**3 - 6*q**3 + 0*q**3 + q**3 - 2*q**3 + (-2 + 2*q**3 + 2)*(-1 + 2 - 3).\nAnswer: -180*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 874560 and 480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30 divided by 46489460.\nAnswer: 3\/4648946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:02 PM and 5:59 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 938 and 222320.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(1*(-35)\/(-15)))\/(19\/(-133))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q + 2 - 2 + (3 + 3 - 4)*(2*q + 3*q - 3*q))*(-q**2 + 4*q**2 + q**2)*(-5*q**2 + 3*q**2 + 4*q**2).\nAnswer: 40*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*j**3 - 2*j**3 - 2*j**4 + (-3 + 2*j + 3)*(-j**3 - 2*j**3 + 2*j**3 + (-j**2 - 2 + 2)*(0*j - 4*j + j)) - 158*j**4 - 12*j**4 - 3*j**4.\nAnswer: -171*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 125 = 5*t + 12*x, 127*t + 62 = 131*t + 2*x for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3700 and 2037516.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 3 + i**2 + 3*i**2 + (-2750*i + 2563616 - 2563616)*(0*i - 4*i + 5*i) + i**2 - 6*i**2 + i**2 in the form h + x*i + v*i**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 112517, 450125, 1012805, 1800557, 2813381, 4051277?\nAnswer: 5514245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 165580197613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of -17*a**6\/30 - 7*a**4\/24 + a**3 - 2*a**2 + 15. What is the second derivative of v(i) wrt i?\nAnswer: -408*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**3 - 44*h**2 + 100*h - 52.\nAnswer: -4*(h - 1)**2*(h + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, -1396\/16997, -0.5 in ascending order.\nAnswer: -0.5, -2\/11, -1396\/16997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1070116*a*b - 18*a + 21758693*b wrt a.\nAnswer: 1070116*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -2, -11, 262, -5, -3 in ascending order.\nAnswer: -11, -5, -3, -2, 6, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2181*-56.\nAnswer: 122136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c37d7d (base 14) to base 7.\nAnswer: -110010516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/(-22))\/(-1*4*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1885*h**4*x - 2*h**4 - h**3 - 5225*x with respect to h.\nAnswer: -7540*h**3*x - 8*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 756\/5*c**2 - 462\/5*c**3 + 81\/5 - 486\/5*c - 12\/5*c**5 + 123\/5*c**4 = 0. What is c?\nAnswer: 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 4*b - 21. Let i be x(5). Let n be (-4 - 4\/2) + (i - -3). Let u(k) be the first derivative of -k**3\/3 - 3*k**2\/2 - 5*k - 33. What is u(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -42 + 39. Let y be (-27)\/(-18)*(-4)\/m. Is (32\/(-6))\/(y\/(-12)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -y**3 - 16 + 266 + 0*y**3.\nAnswer: -y**3 + 250","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 90 by -5772875.\nAnswer: -18\/1154575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 304 (base 10) to base 2.\nAnswer: 100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(160) - ((sqrt(90) - sqrt(10)) + sqrt(10))*3)\/((-2*sqrt(405)*3 + sqrt(405))*-5).\nAnswer: -sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 136, 188, 4 in ascending order.\nAnswer: 4, 136, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 2*n - 184 = -6*n, 2*s - 209 = n. Suppose 3*f + g = s, -f = 2*f - 5*g - 120. Suppose 0 = -39*i + f*i. Let k(z) = -z**2 + 31. Determine k(i).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {h: 1, k: 2, t: 2, q: 1, i: 2, c: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i**4 + 2*i**4 - i**4)*(-8512 + 3167 - 27912).\nAnswer: -66514*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -0.4  (b) -68  (c) -48  (d) 2  (e) 19\/3  (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*x**2 + 3*x**2 - x**2)*(8*x - 5*x + 3*x) + 246*x**2 - 54*x**3 - 243*x**2 + 25*x**3 to the form t + c*x + w*x**3 + a*x**2 and give w.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1008 + -1015. Let z(v) = -2*v**2 - 14*v + 3. What is z(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - -427?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22122 (base 3) to base 14.\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 121761 to the power of 1\/2, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 105651757?\nAnswer: 101, 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 2038504.6 to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33 + -14 + -27 - 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.5 + 3. Let b(f) = -221*f + 12599. Let r be b(57). Let z = 116 + -578\/5. What is the second biggest value in r, z, 0.09, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwwyyywyy. Give prob of sequence yww.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/7, 27, -0.15?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2. Let c(j) be the second derivative of -j**2 - 2*j. Let x(t) = t**2 + 9. Let s(k) = 9*c(k) + 2*x(k). Calculate f(s(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 12) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7567*l**3 - 55*l**2 + 34 wrt l.\nAnswer: -45402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000095844 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72)\/(sqrt(2)*1) - 2*sqrt(216)\/sqrt(6))\/((sqrt(120)\/sqrt(40) - sqrt(12) - sqrt(192)*2)*-1))**2.\nAnswer: 12\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 PM and 3:17 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 892642.2 nanograms in kilograms?\nAnswer: 0.0000008926422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -234344 (base 10) in base 11?\nAnswer: -150080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23389 + -9903. What are the prime factors of s?\nAnswer: 2, 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7981783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*k + 3*k**4 - 28*k**3 + 5*k - 3 + 27*k**3 - 4*k**2 to the form n*k**4 + m*k**2 + p + y*k**3 + r*k and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of -x**6\/360 - 61*x**5\/180 - 115*x**4\/72 + 59*x**3\/6 + 3866*x**2. Solve f(b) = 0.\nAnswer: -59, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.124 or 1\/1894310?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 23530.9 + 267.25.\nAnswer: 23798.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -687*n**2 - 894*n - 3. Give s(-2).\nAnswer: -963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is fb + 2e?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28756?\nAnswer: 2, 7, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-3\/2)*o\/(o\/(o*o*o**(-2))))\/(o\/((o\/(o**(-4)\/o*o))\/o)*o**(-1\/11)\/o))**(-35) assuming o is positive.\nAnswer: o**(-1995\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the third derivative of -3213*k**6\/40 + k**5\/60 - 1933*k**4\/8 + 9*k**2 - 383. Find the second derivative of x(o) wrt o.\nAnswer: -57834*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5 + 0 - 18\/30*5. Factor 0*t**3 - 4\/7*t + 2\/7*t**4 - 6\/7*t**c + 0.\nAnswer: 2*t*(t - 2)*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -27 + 60. Let n = z + -18. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -6901 - -1179?\nAnswer: -5733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of (23 - 22)\/((-3 + 2)\/(-293))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - -14 - (21 - (26 + (2 - 22))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - -4) + (12 + 13 - 87) + (-2 - 14).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, x: 2, u: 1, l: 1}. What is prob of picking 2 x and 1 u?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-3)\/(6 - (-84)\/(-8)))\/(13\/9). Which is the fourth smallest value?  (a) v  (b) 3\/5  (c) 0  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.2 + -0.2. Let n = 0.8 - u. Let r = n - 0.8. Is 7 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*u - 20*u + 403 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -26636 (base 12) in base 13?\nAnswer: -1b015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 3*b. Let s(p) be the third derivative of 5*p**4\/12 - 50*p**2. Give f(s(g)).\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -16*x - 157. Let f be v(-10). Solve 4*h + f = -5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 167, 689, 1211, 1733, 2255?\n\"Answer: 522*t - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 44121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -143.01 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -7*y**2 - 11*y. Let m(j) = 46 - 24 - 25 - 4*j - 3*j + j. What is o(m(r))?\nAnswer: -252*r**2 - 186*r - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g + 4*o + 89325, -2*g + 23*o - 24*o + 35730 = 0. What is g rounded to the nearest one hundred?\nAnswer: 17900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 25*j**2 + 1298*j + 1278. Give k(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*(((i*i**7)\/i*i)\/i)\/i*i*i*i**(-4)*(i**(-1\/3))**(-3\/4))\/(i**(3\/5)*i\/(i\/i**(1\/5))*(i**(-1\/2)*i)**50) assuming i is positive.\nAnswer: i**(-391\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -4*c - 4. Let a(i) = i**2 - 3*i - 3. Let g(h) = -4*a(h) + 3*d(h). Let y(b) = b**2. Calculate g(y(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2*g**2 + g**2 + 2*g + 1 - g. Let u(r) be the second derivative of -r**3\/2 - 2*r**2 - r. Let w be (21\/6 - 3)*2. Calculate w*u(j) + 2*y(j).\nAnswer: -2*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*v**5 + 8900*v**4 + 103704*v**3 - 332492*v**2 - 238456*v + 188832 = 0. Calculate v.\nAnswer: -14, -1, 1\/2, 3, 1124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -46\/59067 and -47\/19689.\nAnswer: 59067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i - 1275 = 1020. Calculate the remainder when i is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-380)\/1805)\/(-5*30\/(-25))\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**2 - 15*f + 13. Determine c(-7).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 4*b - 1. Let c(q) = q**2 - 3*q + 3. Let x be (64\/40)\/((-1)\/(-10)). Suppose -2*t + 3*d - d = -x, 3*d + 21 = 2*t. Let f be c(t). Calculate k(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 424 is divided by 140.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 462\/(-105) + (-84)\/(-60). Let b(c) = -3*c**2 + 4*c + 6. Let g(p) = 6*p**2 - 9*p - 13. Let a(o) = 5*b(o) + 2*g(o). Give a(f).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -11 - 1 - (-14 - (-28 - -8 - 2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11536 * -0.3.\nAnswer: 3460.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -4*m - 3*z, -4*m + 0*z = 5*z - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 2*c + 30 = 0, 67 - 37 = 3*y + 3*c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*s - 50*s = -188121 - 762499. Is s a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 66 = -45*s + 41*s, -2*h + 66 = 5*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of 21*d**5\/20 + d**4\/12 - d**2\/2 + d. Suppose -6 - 3 = -9*x. Calculate i(x).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13*a**2*o**4*x - 1447*a**2*o**4 - 21*a**2*o**2*x - 2*a**2*o**2 - 2*a**2*x - 3*a**2 - x wrt o?\nAnswer: -312*a**2*o*x - 34728*a**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 2*j**2 - 3*j - 71. Let v be h(-6). Solve 2*p + 5*n - v = 0, 2*p - 2*n = -0*p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -321010 (base 4) to base 14.\nAnswer: -148c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -4*p + 4. What is the remainder when t(-3) is divided by (0 + 0 + 9)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -5*o**3 - 35*o**2 + 90*o = 0.\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of 5*j**3\/2 - j**2\/2 - 14*j. Calculate a(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 6665355, 13330820, 19996285?\n\"Answer: 6665465*q - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -3285, -26168, -88219, -209022, -408161?\n\"Answer: -3264*h**3 - 35*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 14) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -8.7*-1\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 times -324?\nAnswer: -57024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 381 = f + x, -2*f + 4*x - 218 + 980 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**2 + 61*u + 15. Give l(60).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95 is divided by (-1155)\/(-45) - 2\/(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-8)\/(-3))\/(-4))\/(14\/(-6))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.8?  (a) 0.6  (b) -2  (c) -4  (d) -3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1287 and 2\/((108\/855)\/12) - -8?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 4*r - 2. Let y be u(2). Let c(w) = 24*w - 13. Let g(a) = 28*a - 14. Let h(d) = 5*c(d) - 4*g(d). Is h(y) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -27112*i + 1003143. What is v(37)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2146, -2196, -2254, -2320, -2394, -2476?\nAnswer: -2566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17792 + 19492. Put m, 0.5, -0.3, 3, -4 in ascending order.\nAnswer: -4, -0.3, 0.5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the third derivative of t**5\/60 + t**4\/6 - t**3\/2 - 13*t**2 - t. Let g = 20 - 5. Suppose 0*h + 3*h = -g. Calculate q(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15*g**5 - 28517464*g**2*u - 160500070*g*u - 2*u wrt g?\nAnswer: -300*g**3 - 57034928*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 128 + -128.000023. What is v rounded to six decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11 by -3832.\nAnswer: -11\/3832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 32, -2, 5, -5, 668, 0, 1 in decreasing order.\nAnswer: 668, 32, 5, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3bbb57 - 7b?\nAnswer: -400016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 4 = -s, 5*s - t = -356 + 330 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of -h**4\/4 + 5*h**3\/3 + 7*h**2\/2 - 3*h + 2. Let i be y(6). What is the second derivative of -z**3 - 2*z**i - z**3 - 3*z wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of 0*h + 2 - 4\/3*h**6 - 2\/5*h**5 + 2\/3*h**3 + 2*h**4 + 0*h**2. Solve j(o) = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 108646059?\nAnswer: 3, 227, 159539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2*6 + -2 + 0. Let w be 12\/8*q\/3. What is the second derivative of -2*m - w*m**3 + 2*m**3 + 5*m - 4*m wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of -3*x - 2*x - 21 + 12 + x**2. Is 11 a factor of w(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14902 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*(k\/((k\/k**(3\/10)*k*k)\/k))\/k*k**39)\/(k\/(k\/((k**(8\/5)\/k)\/k*k)))**(-1\/23))**(-12) assuming k is positive.\nAnswer: k**(-10578\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/2)\/((-6)\/12). Suppose 5*o - g*w = 4*o - 13, -2*o + 24 = 4*w. Suppose 0 = 2*c + 1 + 3, 2*r - o*c = 386. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i = 2 + 22. Suppose 2*d = i*j - 3*j + 11, 0 = 4*j + 12. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15478, -15501, -15534, -15583, -15654, -15753?\nAnswer: -15886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -1. Let d(p) = p**2 - 4*p + 2. Let g be d(3). Let f(r) = -r**2 + 6. Let a(o) = g*f(o) - 3*k(o). What is the first derivative of a(v) wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72934024027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t**2 - 15*t - 73. Let k be l(11). Sort 22, -2, k in ascending order.\nAnswer: -2, k, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 + 4*j**4 - 5*j**4 - 1906*j - j**4 + 1902*j - 1 + 2*j**2 - 2*j**3 in the form n*j**4 + u*j**2 + t + a*j + y*j**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 35667\/13909 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/15 - 42\/(-5). Suppose a - 162 = -b. Calculate the greatest common divisor of 22 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/3 of a hour in minutes?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**3 + 13*l**2 + 68*l + 884. Let q be w(-13). What is the nearest to -0.1 in 1.1, -16, q, 0.09?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 207 from -47184.\nAnswer: -47391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*u + 10 + 50 = 0. Is 13 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -42.92 + 45.92. Which is smaller: 1282 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1152448921?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1867255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.2+25.33\nAnswer: 25.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 344, 689, 1044, 1409, 1784, 2169?\n\"Answer: 5*u**2 + 330*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -55, -1, -2\/9, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-25)\/5 + (-1 - -2). Let h(x) = x**2 + 4*x + 2. Let c be h(u). Let s = c + 2. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*h**2*y**3 - 2*h**2*y - h*i*y**3 - 2*h*i*y - 3*i*y**2 - 2*i*y + 10*y wrt y.\nAnswer: 42*h**2*y - 6*h*i*y - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, -1\/10, -0.2, -2\/5, 8.9, 78\/37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - 3*y. Suppose 5*c + y*c - 665 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*j**5 - 18*j**4 - 23523*j**3 + 116105439*j**2 wrt j.\nAnswer: 540*j**2 - 432*j - 141138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2520\/45 + 0*(0 + -1). Suppose -55*f + q*f = 122. What are the prime factors of f?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.5 less than -42310360935?\nAnswer: -42310360925.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 163  (b) -51  (c) -2\/9  (d) 3  (e) 1\/2  (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a + 0*a + 2*a**2)*(-108*a**2 + 309*a**2 + 172*a**2).\nAnswer: 746*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 26, 18, -22, -106, -246, -454?\nAnswer: -742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express n - 17 + 38 - 10 - 10 in the form s*n + y and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 1325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/4 - 184\/(-32). Suppose -5*l + 14 = -f. Suppose 0 = l*u - v - 92, u - 2*v - 2 = -7*v. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175818 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13.615*13.5.\nAnswer: 183.8025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*d - 96*d = 640 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of -y**5\/60 + y**4\/24 - y**3\/6 - 7*y**2. Let q(p) be the first derivative of l(p). Give q(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9268931 decades to months.\nAnswer: 111.227172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -4*q - 49. Let a(n) = -3*n - 49. Let o(k) = 5*a(k) - 4*s(k). Let u(x) = 856 - 370*x - 405 + 369*x - 451. Calculate u(o(d)).\nAnswer: -d + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27 - h - 11 + 6)*(0 - 1 + 2).\nAnswer: -h + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -546274568, -546274564, -546274558, -546274550, -546274540, -546274528, -546274514?\nAnswer: -546274498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21 + -19. Suppose a = 3*i + 17, -6*a - 4*i + 4 = -y*a. Factor 10*b**2 + 1 + 3*b - 4*b - a*b - 5.\nAnswer: 2*(b - 1)*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 50 - 3*z - 68*z**2 + z**3 + 18*z**2 + 35*z**2. Let k be o(15). Which is smaller: k or 49\/11?\nAnswer: 49\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 803, 1596, 2363, 3092, 3771, 4388?\n\"Answer: -2*a**3 - a**2 + 810*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1808a + -5?\nAnswer: 18085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**1)**(-28)*(o**1)**1)\/(o**7\/o**0*(o\/(o*o**2)*o*o)**(2\/31)) assuming o is positive.\nAnswer: o**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 56, 170, 362, 632, 980?\nAnswer: 1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.1 and 1.3889.\nAnswer: -1.52779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5372 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 9, y: 2, b: 2, h: 2, j: 4, k: 1}. Give prob of sequence bhje.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9282)\/(-494) - 19)\/(-14 - -13).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3208635 + -116?\nAnswer: 3208518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of j**3\/6 + j**2\/2 - 4*j. Let p be y(2). Suppose -260 = -t - p*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 695*0.009558.\nAnswer: 6.64281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -45*g**4\/4 - 635*g**3\/2 + 15875*g**2\/4 - 8080*g - 1995 = 0. What is g?\nAnswer: -38, -2\/9, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -9, 5 in decreasing order.\nAnswer: 5, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 411 is divided by 371?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5137 + 26797. Suppose 42*z - 22*z - c = 0. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1121, 4569, 10325, 18401, 28809, 41561, 56669, 74145?\nAnswer: 94001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2\/3 - 10*a - 75.\nAnswer: -(a + 15)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*y = -3644 - 5812. What is y rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -814\/7 + 116. Let c = 26737\/2445 - 164\/15. Let a = c - -965\/6357. What is the nearest to 2\/11 in a, f, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (15\/(-6))\/((-2)\/(-24)). Let k be (-2)\/g*753 - (-1)\/(-5). Let r = 139 - k. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -7*o**2 - 119*o - 476. Give z(-12).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2\/4 + 1586861*z\/2 - 2518127833321\/4.\nAnswer: -(z - 1586861)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(216\/80)\/27*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2. Let s(r) = 376*r**3 - 7*r**2 - 4*r - 3. Let t(c) = -s(c) + 6*x(c). What are the prime factors of t(-1)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -45\/46771403 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 10 = 8*b. What is the second smallest value in -4\/5, b, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36917 and 12283177?\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2\/7  (b) -4\/7  (c) -0.1  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 218*c - 1517*c - 705*c = -36861 - 37287 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 + 8*m + 4. Let r be z(-8). Suppose 2*s = -4*k + 32, -3*s = -r*k + 6 - 4. What is the third derivative of 2*j**2 + 0*j**2 + 0*j**6 - j**s wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 AM and 8:11 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d**4 - 386740*d**3 + 1933605*d**2 - 2320290*d = 0. Calculate d.\nAnswer: 0, 2, 3, 77343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = s + 3. Let j be (s - 4) + 2 - -5. Solve -a + 2*q = 4, a + q = 10 - j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (192\/(-24) + (-22)\/(-3))*27\/(-11 - -10)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 3. Suppose -20 = -2*q + 12*q. Let v(n) = n**2 - n - 9. Let f be v(q). Which is the second smallest value?  (a) f  (b) 13  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65211 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2370*i + 3645 = 2613*i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 - 7*o**2 - 148*o - 4. Determine j(13).\nAnswer: -914","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b - 1. Let p be u(-3). Let l = 10562 - 10556. Determine q, given that q**2 - 4*q**2 - 66*q**3 + l*q**p + 72*q**3 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the second derivative of 35*m**5 - m**4\/2 + 2*m**2 - 123*m. Find the third derivative of i(b) wrt b.\nAnswer: 4200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 30602 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 l when three letters picked without replacement from {m: 3, x: 10, y: 3, l: 4}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -336005 at most as big as -672011\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (742840\/180)\/49 - 84?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54491136 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w*w*w*w**(1\/4)\/w*w)*w*w)\/w)**36*w**(-3\/8)\/w**(-1) assuming w is positive.\nAnswer: w**(-355\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 88664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 131098360?\nAnswer: 2, 5, 349, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-40 + 53 - 2*v + 30)*(-1 + 1 - 2)*(1 - 1 + v**2) - 3*v**2 + 3*v**2 + 2*v**3 to l*v**3 + w + n*v + p*v**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*u, -2*x + 177*u = 179*u - 712. What is the highest common divisor of 78 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 564054060 a multiple of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 8*j**2 + j + 2. Let y be d(-1). Let n(a) = a - 13. Let i be n(y). Sort 3, i, -5 in increasing order.\nAnswer: -5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55774791 less than -0.2?\nAnswer: -55774791.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 8105.662t in micrograms?\nAnswer: 8105662000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 7 = -5*y, -5*m + 4*y + 4 = -3. Suppose -r - 2 = -3*v, 0 = -m*r + 5*v - 4*v + 2. Which is bigger: -8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m\/(m\/(m\/m**(-1)*m)))**31 assuming m is positive.\nAnswer: m**124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-87)\/(-18)*3*2. Let i = -30 + q. Is 2\/39 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -8*p**2 - 94*p + 22. Determine n(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2296555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**2 - 14*q - 4. What is l(-6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3.4, 0, 4, 2\/15, 0.05?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 2*s. Let q be 4520000 - (s\/4)\/(-5). Suppose y + q = -3*y. What is y rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxxxxxxxxxxxqxxx. Give prob of picking 1 x and 1 q.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 161*q**2 - 10*q - 4. Let o = 53 - 48. Let x be h(o). Suppose 0 = -0*w - 2*w + 4*v + 1598, 2*v = 5*w - x. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -46 - -77. Calculate the remainder when 153 is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + n + 0)*(1 + 1 - 1) + 5*n + 173 - 173)*(-27*n + 8*n**3 + 27*n).\nAnswer: 48*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 95 = 17*c - 22*c, -3*c = -3*d - 38 - 19 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-316*w + 316*w - 60*w**2)*(4*w - 3*w**2 - 4*w) - 7*w**4 + 3*w - 5*w + 10*w**4.\nAnswer: 183*w**4 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 485369026?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 67992, 271931, 611822, 1087659, 1699436, 2447147?\nAnswer: 3330786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3304120?\nAnswer: 2, 5, 17, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**4 - 4*s + 4*s + (-s**2 + 4*s**2 - 4*s**2)*(-4*s**2 - s**2 + 3*s**2) - 3*s - s**4 + 3*s + (2*s**3 + 0*s**2 + 0*s**2)*(0 + 0 - 5*s).\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/18526 and -22\/9.\nAnswer: 166734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -167, -169, -171?\n\"Answer: -2*i - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13523 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + 2.1. Let h = 199 - 186. What is the closest to h in 0.4, v, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1  (b) 0.05  (c) 2  (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from jytbnbcyj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 - 36*v**2 + 35*v - 65. Calculate the remainder when 132 is divided by i(-37).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 2 + 5*(-2 + 2 + sqrt(704) + sqrt(704)) + 2.\nAnswer: 4 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 17\/25  (b) -798  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 - 7*r**2 - 8*r - 2. List the prime factors of v(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 3933 = 5*a + 2*d, 773 = a - 3*d. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(39) - (sqrt(39) + 1*sqrt(39))))\/(sqrt(192) + sqrt(192)*2 - sqrt(192)).\nAnswer: 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49252765*l - 427*l**2 + 49252765*l.\nAnswer: -427*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vttp when four letters picked without replacement from {r: 4, t: 2, v: 6, l: 4, p: 1}?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a6136d (base 14) to base 11.\nAnswer: -3193559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 23061300 rounded to the nearest 10000?\nAnswer: 23060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 32.8  (b) 13  (c) -451  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 575 a factor of 251178520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 705, 707, 711, 717?\n\"Answer: g**2 - g + 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 741 * -18.5\nAnswer: -13708.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of -21*x**4\/8 - 51*x**3\/2 + 106*x**2. What is the units digit of g(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13005 minus -4?\nAnswer: -13001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1056 - 1054. Sort -3, p, 2\/3, 0.4 in decreasing order.\nAnswer: p, 2\/3, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 644 = -413*l + 390*l for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -4*y + 3. Let l be (2 + -5)*(-2 + (-3)\/(-3)). Let o(g) = -3*g - 2*g + 16 - 13*g - l*g. What is -2*o(s) + 11*r(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 22*c + 1818. Let q be a(-81). Solve -17*g = g - q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -546 = -34*s - 410 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**2 - 1. Suppose x = 2*b + 52, 3*b = -2*x + 4*b + 95. Suppose -5*o - 24 = x. Let h(d) = -6*d**2 - 7. Determine o*k(m) + 2*h(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 + (-5 - (16 - (-7 - -14))) - -35.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14575181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1325 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 62*a**3*p**2*t + 2*a**3 + 99*a**2*t - 3*p**2*t wrt p.\nAnswer: 124*a**3*p*t - 6*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1098\/269, -0.07, -1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 94*k - 0*k + 147956. Let v = 14170\/9 + k. Determine i, given that -v*i**2 + 2\/9*i**3 - 2\/9*i + 4\/9 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1035, 23, -2.6?\nAnswer: -1035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k - 1. Let l = 11005 + -11006. Let s(b) = 18*b**2 + b + 2. Calculate l*s(o) - 2*h(o).\nAnswer: -18*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 136320 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -40 - -74. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*d**2 - 8*d**3 + 13*d**2 - 8*d**3 + 2*d**2 + 3*d**2.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -1020*m**3 + 2456575 + m**2 - 2456575 as c*m**2 + v*m**3 + i + h*m and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*t + 0*t + 5*t)*(39*t + 34*t - 83*t).\nAnswer: -100*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 - (9710\/15)\/((-20)\/6). Let j = -193 + l. What is u in -6\/5*u + 3\/5 + j*u**3 - 3\/5*u**4 + 0*u**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 379, 4.832, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 - -26) + 21 + -13. What is the greatest common divisor of 323 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/22 and 47\/1453364.\nAnswer: 1453364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 1030\nAnswer: -3\/1030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 82?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.32 + -3.68. Let v = -151\/2 - -74. What is the third biggest value in t, 4, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.4, -1.4648, -2, 1\/2, 1\/6, 5?\nAnswer: -1.4648","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 AM and 12:50 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3609 + 3?\nAnswer: 360c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/4 or -1553?\nAnswer: -1553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54 is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 468343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1397.5 + -1398. Let p be 3\/(-2)*12\/(-9). Suppose -p*m + 0*m - 4 = 0. Which is the closest to 0?  (a) m  (b) f  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.13 times 627992\nAnswer: 81638.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**4 - 1968*c**3 - 3852*c**2 + 47088*c.\nAnswer: -3*c*(c - 4)*(c + 6)*(c + 654)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*(4 + (-11)\/2). Let a(i) = -i**3 - 2*i**2 - 4*i - 4. Calculate the remainder when 65 is divided by a(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 5444658*z - 49425. Let i(g) = 661*g - 6. What is -49425*i(r) + 6*l(r)?\nAnswer: -1977*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 40.76925 years?\nAnswer: 489.231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*a - 45 = 49*a. Solve -a*t - 10 = 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -27*w - 857. Let r be t(-32). Solve -s - 4*v = -19, -3*v = -s - r - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32 (base 11) to base 10.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 12281288*n**2 - 187067310.\nAnswer: 24562576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 - 5*w + 9. Let g be h(-6). Suppose g*v - d - 695 = 0, 2*v + 2*v = -2*d + 940. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -159 = 22*q - 5 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5047, 5046, 5023, 4966, 4863, 4702, 4471, 4158?\nAnswer: 3751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 PM and 4:45 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 - -29d0e?\nAnswer: 29d0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -30, -2, -18, 16, 1, 2 in increasing order.\nAnswer: -30, -18, -2, 1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*n**2 + 18*n**2 + 25*n**2 - 71*n**2 + 171 to the form p + v*n + x*n**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -22745075*h**3 + 19394555*h**2 wrt h?\nAnswer: -136470450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*r - 30*r + 4224 = 2*r - 52*r for r.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the third derivative of p**7\/280 + p**6\/60 + 17*p**3\/3 - 15*p**2. Let v(l) be the first derivative of d(l). Factor v(s).\nAnswer: 3*s**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11000 + 10100001110001011?\nAnswer: 10100001110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of -2*j**3\/27 + 2*j**2\/9 - 2*j\/9 - 3. Solve g(w) = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**2 + 10*x - 8. Suppose -b - 6*y = -3*y, 39 = 4*b - y. Calculate w(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/10)\/((-66)\/55).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -14*i**2. Let p(r) = 42070*r. Determine p(s(b)).\nAnswer: -588980*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 y, and 1 l when three letters picked without replacement from {l: 11, w: 1, y: 2, v: 1, s: 1, k: 2}.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10 - 46 + 30*i + 20 wrt i.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0322833 rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w - 8. Let x = -84 + 81. Let n be y(x). Is n at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 - 6 = 4*s. Suppose -7 = -g + 3*f, 0*f = -s*g - f + 14. Solve 0 = -2*l + g*l + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 - 0) + 4 - 0. Suppose w*z + 6*f - 3*f = 9, -5*f - 22 = -4*z. Calculate the smallest common multiple of 2 and 3*5*z\/9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 45.95 + -46. Let f = 2 + -1.65. Let v = f + o. Which is the third smallest value?  (a) v  (b) -2\/3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (35 - 38) + (-1 + 2 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 191*k = -323 - 632 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66) - (sqrt(66) + sqrt(66)*1))*2)\/((sqrt(60)\/sqrt(5))\/sqrt(2)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 21\/(-9) + 2 + (7 - 161\/21). Let r = -41\/50 - -1\/50. Is r at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 take away 30036.54?\nAnswer: -30036.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 - 3*u**2 - 6*u - 7. Give p(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (3 + (-6*sqrt(76)*1 + 5*1*sqrt(76))\/(((-5*sqrt(36))\/sqrt(9) + sqrt(4) + sqrt(4))*-3))**2.\nAnswer: -2*sqrt(19)\/3 + 910\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**2 - 929899*c - 1859794.\nAnswer: -(c + 2)*(c + 929897)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11960 = 40*o + 2200. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 54*(1356\/24)\/113.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7602 - -22805\/3. What is the smallest value in f, -5, -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 153 - 109*n**2 - 268*n**2 + 4*n - 313 + 160 in the form w*n + i + v*n**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 220*v**3 - 289*v**3 + v**2 - v**2.\nAnswer: -69*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -43 + 130\/3. Let o = -307 + 2153\/7. What is the nearest to j in 0.5, 2\/11, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 + 8*s + 3. Let k be l(8). Let q(i) = -i**3 + 4*i**2 - i + 4. Let j be (-1 - -3) + -2 + 4. Let r be q(j). Solve r = -k*h + 11 - 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 22\/(-6) + 6\/(-18). Let u = -1 - g. Find the third derivative of i**2 + 2*i**5 + 3*i**5 + i**5 - u*i**5 wrt i.\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.52317 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2290 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/6)\/(12\/36).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 11*q**2 + 25*q + 440?\nAnswer: 22*q + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -206097 rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 135\/(-900)*60\/18*66\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*x - 3*x - 2*x + (-3 + 5 + 0)*(-4*x + 3*x - 2*x) - 2*x - 3 + 3.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 + 22*x - 1. Let i(f) = 6*f**2 - 197*f + 3. Give i(n) + 5*v(n).\nAnswer: n**2 - 87*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 5*j + 4. Suppose -4*d - 4*a - 28 = 0, 3*d + a - j*a = 14. Sort -1, d, 0 in descending order.\nAnswer: 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25 - 16. Calculate the lowest common multiple of z and 27*(-11 - ((-15925)\/1323 - 4\/(-108))).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -15*(0 + 4\/(-6)). Suppose 810 = -5*d + z. What is d rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 16240 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 2*b = 5*i - 29, -2*b + 4*i - 34 = 0. Let u = -9 - b. Suppose 2*h + h + 12 = u. What is the second smallest value in 0.2, h, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 46\/414 - 1423\/5598 and -47\/9?\nAnswer: 5598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = 10*r + 35, 4*r = 179*d - 175*d + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fm when two letters picked without replacement from ttetumtufett?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -12*p - 10 + 6*p**2 + 5 - 5426*p**3 + 5427*p**3. Determine w(-8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11.1 - 11. What is the nearest to o in 5, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of -50*q**7\/63 - 46*q**6\/9 + 49*q**5\/15 - 5*q**4\/9 + 5*q - 324. Let x(b) be the first derivative of a(b). Factor x(s).\nAnswer: -4*s**2*(s + 5)*(5*s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13670857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - 3. Let z = 3 - 2. Let k be (z - 3)\/((-4)\/(-2)). Put 4, k, r in descending order.\nAnswer: 4, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/448 and 3\/803306.\nAnswer: 25705792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 45906 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 2\/29, -1801, -3 in descending order.\nAnswer: 0.5, 2\/29, -3, -1801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -318, -1009, -1770, -2307, -2326?\nAnswer: -1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 68046 by -4.\nAnswer: -34023\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.2328303 hours in weeks?\nAnswer: 0.0192430375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.2 from 82855.\nAnswer: 82855.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -6*o - 105. Let b = o - -37. Solve h + 3 = b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 8*j + 104. Calculate the remainder when b(-8) is divided by ((-4)\/5)\/(2\/(-35)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -30*i + 1 - 252*i + 66*i as n*i + g and give n.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of -v**5\/20 + 13*v**4\/12 - 5*v**3\/6 - 17*v**2\/2 - 4*v. Is o(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 1\/4  (b) 15738  (c) -68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 17*n**2 - 168392*n + 673292. Determine o(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 7, z: 2}. Give prob of sequence zffz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 2*p = -27, -3*p + 0*p = -5*s + 47. Let l be s - 1\/(-3)*-9. Let i = 2 - 2.2. What is the third smallest value in 2, l, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/((c\/c**9)\/c*c))\/(c**(-1\/7)\/c))**11)**(-6\/31) assuming c is positive.\nAnswer: c**(-4686\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 77995, 156035, 234123, 312259?\nAnswer: 390443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 116*n + 10. Let h be l(3). Let t = h + -256. List the prime factors of t.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.959398us in minutes?\nAnswer: 0.0000004493233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the third derivative of 0 - 1\/20*m**5 + 1\/60*m**6 - 4*m**2 + 1\/24*m**4 + 0*m + 0*m**3. Let i(c) = -c**3 + c**2 - c. Calculate -i(h) - n(h).\nAnswer: -h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2373)\/16611)\/(10\/14)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 55 - 110. Let g = 364499\/22 - 16565. What is the common denominator of ((-34)\/o)\/(8\/50) and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*w**2 + 0*w**2 + 12*w**2 - 26*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2045445 and 26590785?\nAnswer: 26590785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes before 12:41 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 3, 2, 159 in descending order.\nAnswer: 159, 3, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 94*b + 240. Let i be m(8). Suppose i*h - 998*h = -2130. What is the remainder when h is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*b**3 - 23*b**2 + 3*b.\nAnswer: b*(b - 1)*(20*b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -484*v**3 + 174*v**3 + 131*v**3 + 180*v**3 + 660 - 660.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + h - 1)*(-23590*h**3 + 23429*h**3 - 3*h + h + (4*h - h - h)*(-h**2 + 2*h**2 + 0*h**2)) as a + n*h**3 + p*h**2 + l*h + g*h**4 and give g.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 9, 5, 48, -2\/19, -3?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -2 - 6*s + 4*s + 7*s + 6*s. Let t = -12 + 17. Is q(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -8\/177  (b) -5  (c) -2\/73  (d) 2\/21  (e) -1  (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1626294 and 937572?\nAnswer: 3216809532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 PM and 11:14 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 - 7470\/(-9)) + 8 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -15 + 35*n**2 - 34*n**2 + 8. Let u(t) = t. Determine u(m(p)).\nAnswer: p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 - 54*h**2 - 153*h + 111. Let k be d(-51). Suppose t = -0*t + 37. Calculate the greatest common factor of k and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2432 - 71?\nAnswer: 23a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -135 - 58*s + 18*s - 47*s - 9*s + 269 - 133.\nAnswer: -96*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 502764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4.759 + 5.259. Let u = -24\/5 - -5. Which is the second biggest value?  (a) u  (b) v  (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 70717875 and 561?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 611886.1 millimeters to meters.\nAnswer: 611.8861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3308*m**3 + 3271*m?\nAnswer: 19848*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 62631828 divided by 762?\nAnswer: 82194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16 - 15)\/(-2 - (0 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n + 9. Let s be h(6). Suppose -s*u + 6 = -9. Solve -4*r + 15 = -u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -5*s - 6. Let r(o) = o + 1. Suppose -46*w + 59*w + 344*w - 714 = 0. Determine w*r(x) + q(x).\nAnswer: -3*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1\/6)\/(7\/(-7)). Suppose -c - c + 8 = 4*z, -4*c + 5*z + 29 = 0. Let p be c\/(-12) - (-1)\/2. Which is smaller: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nkh when three letters picked without replacement from qhknqbqiqqq.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -4*w**4 - 58*w**3 + 32*w**2 + 30*w = 0.\nAnswer: -15, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1218005?\nAnswer: 5, 47, 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 671 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q - q - q)*(-q + 4*q - q) + (-q + q - 2*q)*(4*q + 2*q - q).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, -4, 1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 140\/(-520)*(-4)\/(-7)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4397 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -901.6 - -902. Let q = 29.2 - 29. Sort -1\/5, x, q in increasing order.\nAnswer: -1\/5, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 - 5*t + 14. Let c(a) = -5*a - 7. Let y be c(-2). Let g be k(y). Solve -g*b - 9 = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n - 18 + 18)*(-154*n**3 - 28*n**4 + 154*n**3) + 2*n**2 - 30*n**5 - 551*n + 551*n.\nAnswer: 82*n**5 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -4*j - 7. Let y(b) = 2*b + 2. Let t(s) = 3*s + 2. Calculate j*t(q) + 5*y(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*y**2 - 29*y**3 - 2*y**2 + 75*y**3 - 5*y + 23*y.\nAnswer: 46*y**3 + 4*y**2 + 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 540 and 288?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3373*q**3 + 809 wrt q.\nAnswer: -10119*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2.3 not equal to -0.1642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*y - 18 = 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + -221?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -4. Let t be (-8)\/(-6) + (1 - j). What is the second biggest value in -3, -4\/9, t?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 731 is divided by 683.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 13103*n - 175 = 13107*n, -58 = 2*i + 4*n for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 2 + 6605*w + 6412*w - 1 - 12597*w to the form x + y*w and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3335 and 124?\nAnswer: 413540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*p - 31*p = -161409. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 7*a**2 - 41*a - 693. What are the prime factors of h(-30)?\nAnswer: 3, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - -1) + -9 + 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 7620388.\nAnswer: 30481552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkfkkkffkf. Give prob of picking 3 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 22649 and 14413?\nAnswer: 158543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/((-1)\/(-2) + 1). Let s = v - 1. Let l = -26 - -25.6. What is the third smallest value in 1\/5, l, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*b**2*j**2*y + 2*b**2*j*y + 3*b**2*j - 2*b*y + j**2*y - 4*j*y + 7*j wrt b.\nAnswer: -4*j**2*y + 4*j*y + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 33.862 and -3773.\nAnswer: -127761.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 70\/1107 and (167\/(-246) - -1)\/(16 + (-416)\/24).\nAnswer: 8856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/91 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 662 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 578304 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 114164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 AM and 3:25 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -899, -930, -987, -1076, -1203, -1374, -1595?\nAnswer: -1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -6*x**3 + 26*x**2 - 5*x - 5. Determine p(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16 - -19. Find the second derivative of 14*n**l + 16*n + 3*n**3 - 33*n**3 wrt n.\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-3588)\/(-9) - 35\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7\/3 or 183?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 949719404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 77413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 + 2*n**2 + 10*n + 6. Let y be r(-6). Does 4 divide 1\/(-7) - y\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 554.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 1452 = -4*h, -h - 2*t = -493 + 131. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.281 + 0.119. Round p to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 - (15*(1 - 2) + -2). Suppose 0 = -8*z + 3*z + a. Calculate the remainder when 13 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*r + 4*r + 2*r)*(1066 - 525 - 313) to z*r + f and give z.\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4 + (3 + 11348 - 2).\nAnswer: 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 0 + -5 + sqrt(539)*-1 + 2)**2.\nAnswer: -14*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 124*j = -123*j - 51 - 42, 0 = -l - j + 17 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u + 144. What is the hundreds digit of y(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.0972 and -5?\nAnswer: 4.9028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x and 1 z when four letters picked without replacement from {e: 3, z: 1, x: 3, b: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + -23. Let h = 73 + q. Suppose -5*k + 2*d = -40, 5*d = 4*k + 4 - h. What is the least common multiple of k and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -507, -506, -505, -504, -503, -502?\n\"Answer: u - 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1793912 is divided by 193.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -14, 2.6 in descending order.\nAnswer: 4, 2.6, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) -5\/41  (c) 2\/9  (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -23  (b) 0.5  (c) 5000  (d) -2\/3  (e) -0.5  (f) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:42 AM and 9:01 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from irq. What is prob of sequence qr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 - c**2 + c. Let z(h) = -h**3 - 2*h**2 - h. What is -2*x(a) + z(a)?\nAnswer: a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 68409\/66 + (6\/(-4))\/3. Suppose 17*y - 222 = x. What is the remainder when y is divided by 46?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11814 is divided by 748.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-4)*u\/(u\/u**(-1))*u*u)\/(u**(2\/13)\/(u\/((u**6*u)\/u))))\/((u**(-1))**(-24\/13))**(-33) assuming u is positive.\nAnswer: u**(686\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1098497396 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16.2 - 16. Let q = -0.1 + m. Which is the biggest value?  (a) -1\/2  (b) 3\/4  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6955 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a hour in seconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/32 of a week?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -16847844, -16847890, -16847936, -16847982, -16848028?\n\"Answer: -46*h - 16847798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111110100110 - -111101?\nAnswer: -111101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 41382811807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-10)\/(-8))\/((-5)\/(-180)). Let z = p - 13. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 + 19.99961. What is k rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 698732.\nAnswer: 2096196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of -829*s**8\/336 - 17*s**4\/12 - 5*s**3\/2 - 4*s**2 + 22*s. What is the second derivative of j(n) wrt n?\nAnswer: -16580*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**2 + 12*v + 1. Let u = 3 + -15. Let o be d(u). Let j be o*((5 + 1 - 4) + 23). Solve -5*t + j = -0*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -183.45 + 183.4. Which is the biggest value?  (a) n  (b) 1\/221  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = 5*c - 5. Calculate the lowest common multiple of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 931396, 3725572, 8382530, 14902270, 23284792, 33530096?\nAnswer: 45638182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of -n**5\/30 - 397*n**4\/6 - 157609*n**3\/3 - 62570773*n**2\/3 - 468*n. Find b such that h(b) = 0.\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20735 = f - 79265. Round f to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -2*o**2 + 158*o + 179. What is v(80)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes after 8:07 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 338661270 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 35 - 35.042. Let f = n + 0.0420037. Round f to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 160 and 240?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 11 - 7 - 4*p - 4 - 2*p**3 + 6*p**2 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the third derivative of u**5\/10 + u**4\/24 - u**3\/3 + 2*u**2. Suppose 1 + 1 = w. Is m(w) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 92 divided by -525914.\nAnswer: -46\/262957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -54, -192, -568, -1302, -2514, -4324?\nAnswer: -6852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56247?\nAnswer: 3, 18749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -91 + 87.7. Let w = -3.8 - f. Let h = 1 - 1.4. Which is the second smallest value?  (a) 4  (b) h  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**2. Let w(b) = b. Let q(v) = v**2 + v. Let h(a) = -3*q(a) + 2*w(a). Let j = 1224 + -673. Let g = j - 552. Give g*k(o) + h(o).\nAnswer: -4*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-7)*b**(-2))**11 assuming b is positive.\nAnswer: b**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -126 (base 11) to base 5.\nAnswer: -1044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (36\/70)\/((-20)\/((-2000)\/30)) + -3. Which is the smallest value?  (a) x  (b) 5  (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-30)\/25*(-2 - -7). Let g be (3\/t + 2)*2. Differentiate g*u - 2 + 0*u - u with respect to u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -24*k + 8 + 2 - 2. What is the tens digit of i(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 130914 divided by 8\nAnswer: 65457\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 0 + 7*s**2 - 3*s**2 - 1. Let c be u(1). Suppose 2*n + 5*i = 51, -2*n + 0*i = -c*i - 91. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.33 + -0.67. What is the fourth biggest value in 1, 5, g, -1\/6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -13.2?  (a) -1\/5  (b) -257  (c) 4  (d) 0.2  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -97275, -97531, -98229, -99591, -101839, -105195?\nAnswer: -109881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v = 2*r + 11, -3*v - 2*v - r + 2 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -29*a + 1825. Give w(63).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-2*5*((sqrt(108) - (sqrt(108) + (sqrt(108) - (sqrt(108) + -1 - sqrt(108))) + sqrt(108))) + -4)*-6)**2.\nAnswer: 432000*sqrt(3) + 1645201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**3 - 2*w**2 + 2. Is y(-2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 5384447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from pgpp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 - 13)*1*1. Let l(b) = 5*b**2 - b. Let x be l(1). List the prime factors of x\/10 + (-39)\/p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 5*o**3 + o**2 - 9*o - 3. Let l(v) = -14*v**3 - 4*v**2 + 27*v + 8. Let y(h) = 6*l(h) + 17*r(h). Determine y(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 4, -3\/2, 5, 127?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -75412 times 27\nAnswer: -2036124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2589983319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-27)\/(-6) - 6)*(-8)\/18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 + 4 - 3) + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10\/35 + 258118\/49?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 + 840 + 10*r**2 - 821 + 5*r. Let c(p) = 4*p**2 + 2*p + 10. What is -5*c(g) + 2*q(g)?\nAnswer: -2*g**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 130611*n**3*r - 29*n**3 + 11*n**2 - n*r + n + 27844*r - 411 wrt n.\nAnswer: 783666*n*r - 174*n + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 3*c + 3 = 0, 3*y + 0*c - 29 = 4*c. Suppose -l = -4*t - 341, y*l + 4*t - 678 = 297. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - -13 - (-242 - -231).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = w + 3*p - 19, 4*p - 28 = -4*w. Suppose -w*d - 2*d = -12. Let z(q) = -q + d*q - q. Let n(b) = b**2. Give z(n(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n + 5*x - 1, -5*x = -2*n - 9. Let q be (29 - -1)\/(0 - (-2)\/n). Calculate the common denominator of 1 + q\/27 - (-296)\/36 and -53\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 5327, 10653, 15985, 21323, 26667, 32017?\n\"Answer: 3*j**2 + 5317*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 3230584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -150278 + 150284.00004. Let q = y + -6. What is q rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 114598.\nAnswer: 2, 11, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -6, 12, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-32)\/(-6)*-3*-4 - -3. Suppose -g*b = -63*b - 2740. What are the prime factors of b?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 7  (b) 33  (c) -6  (d) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 14*l + 1401. Let z be c(-100). What is the closest to 2 in z, 24, 15\/7?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of -129 + 42*q + q**3 + 45\/2*q**2. Let z(s) = 0. What is s?\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {e: 2, r: 10}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of 1\/16*x**4 + 0*x + 1\/24*x**6 + 0*x**3 + 6 - 1\/10*x**5 + 0*x**2. Find i, given that b(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 11:01 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2785, 4, -3.9, 0.4 in descending order.\nAnswer: 4, 0.4, -3.9, -4, -2785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4 + (3 + -7 - -2). Let y(f) = -f**3 - 5*f**2 + 8*f + 9. Calculate y(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 2*a - 76, -4*a + v + 41 + 102 = 0. Let g = -68 + a. Let x = g + 35. Solve 4*i - y + 3 = 0, -i + 0 = -x*y + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2 + 1)*-1 + 2. Suppose -z = 3*a - c, -3 = -z + 2*z. Solve a = 2*d - 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.11818 to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (7 - 1 - (-10 + 18)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.4 minus 0.428397?\nAnswer: 17.971603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 22*w**2 + w - 1. Suppose -12 = 3*z + 3*d + 2*d, 3*d = 2*z - 11. What is l(z)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4319501 + -10.397\nAnswer: -4319511.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**4 - 95*y**3 + 98*y**2 + 192*y.\nAnswer: -y*(y - 2)*(y + 1)*(y + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or -22\/37?\nAnswer: -22\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*z**2 - 3*z**2 - 760*z**3 + 757*z**3 - 3 + 5*z**4 to the form i*z**2 + x*z + o + f*z**4 + y*z**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 6*g**3 + 14*g**2 - 23*g + 51. What is o(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3049875721.59999861 + -3049875695. Let o = -26.424 - 0.176. Let q = o + a. What is q rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -2894  (c) 2\/11  (d) 4\/5  (e) -1.2  (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -142 divided by -26?\nAnswer: 71\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2424 + 2449. Solve -q*t - 16 = -29*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/(-4))\/(1\/(-2)). Suppose 3*w + c = 4, 0 = -v + w + 71. Let g be (-2)\/(-6)*v\/(-8). What is the second smallest value in -1, g, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(56) - 2*sqrt(6776))\/sqrt(8) + 0 + -5)**2.\nAnswer: 210*sqrt(7) + 3112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 10 = -2*i. Suppose 0 = -3*h + 3, 0*m - 3*m = 4*h - 1. Let d be (m - (-15)\/9)*6. Solve 25 = -i*x, d*x + 15 = -3*p + 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3. Let p(a) = a**3 - 7*a**2 - 16*a - 16. Let l be p(9). Suppose 8*f + 7 = y + 5*f, 14 = -l*y - f. Let q(t) = -3*t**3. Determine y*u(k) - 2*q(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + 8*r**2 + 4*r - 8. Let b = -11 - -19. Calculate the remainder when d(-7) is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -235835 (base 9) to base 5\nAnswer: -14021411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -43779.3761649688 and 0.2.\nAnswer: -43779.1761649688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -5 + t + 0 + 2 - 2. Let h be b(7). Let o(l) = l**3 - l**2 - 3*l + 3. Calculate o(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5.76, 1050 in ascending order.\nAnswer: -1, 5.76, 1050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/528 and 65\/2747984.\nAnswer: 90683472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.3 + -0.6. Are f and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 11) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from qqqjqqqqcqcjccjqqqqq?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -923d - -6?\nAnswer: -9237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(((-140)\/(-102855))\/(-7)). Let y = h - -15509. Let l = y - 137\/4. Calculate the common denominator of l and 23\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/(-228))\/(3\/(-30)). Let f = h - -59\/627. What is the nearest to 0.1 in f, 1\/4, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 70 and 11040?\nAnswer: 77280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 3 - 3)*(-3 - 1 + 7)*(2*c - 6*c + 2*c) + c + c - c in the form k*c + b and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*h - 4*h - 3*h)*(-18*h - 35*h + 15*h) + 3*h**2 - h + h + (0*h**2 - 3*h**2 + 2*h**2)*(2 + 1 - 1).\nAnswer: 39*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 + 6*u**2 - 14*u + 5. Calculate g(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ejtjtjettgwetewtgtt. What is prob of picking 2 e and 1 w?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 4  (b) 5  (c) 0.2  (d) 443\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-912)\/(-570) - ((-13356)\/140 + -19).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1794*c**2 + 178*c**3 - c**5 - c**5 - 1969*c**2 - 21*c**3 - 2*c**5 - c**6 wrt c.\nAnswer: -120*c**3 - 240*c**2 + 942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*g*p - g*x - 850*g + 335427*p*x**2 - 48*x**2 + 2*x - 3 wrt p.\nAnswer: 5*g + 335427*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 378*u**2 - 378*u**2 - 1886*u**3.\nAnswer: -1886*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/36*1*(-87)\/174?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -2*w + 6, 2*c - 9 = -5*w + 4*w. Let z = 13 - c. Suppose 2 = -b + z. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3522 rounded to 2 dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -111110000101101 (base 2) to base 11\nAnswer: -2197a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 16*u**2 + 31*u - 4. Let w(y) = 0*y - 6*y + 1 + 2*y**2 - 10*y**2 + 5*y**2. Let n(l) = -2*j(l) - 11*w(l). What is n(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 6*f + 6. Suppose -15 - 237 = -4*w. What is the tens digit of (-12)\/f*w\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of -35\/3*f**3 + 1 + 0*f**2 + 0*f. Let p(n) be the first derivative of n**3\/3 + 32814. Determine p(r(g)).\nAnswer: 1225*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 10 or -133?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 14) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3663 - 4778 + 3345 = -56*m. What is the remainder when m is divided by 290\/9 + 8\/(-36)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 5 = -5*h, 5*x - 1220 = -h. What is the second derivative of 72*k**5 + 33*k**5 - 1 - 7 - 241*k + x*k wrt k?\nAnswer: 2100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -2\/3, -18283, -0.3 in descending order.\nAnswer: 0.2, -0.3, -2\/3, -18283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 183472, 366945, 550418, 733891?\n\"Answer: 183473*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7906697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 18*(254\/12 + (-3)\/6). Let x = c + -217. Suppose -3*l + 2*u = -x, 3*l + u - 55 = 2*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 66*n**2*q**4 + 2*n**2*q**3 + 231*n**2*q**2 - 15*n**2 - 3*q**4 wrt q?\nAnswer: 1584*n**2*q + 12*n**2 - 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 6, 3*w + 85 = 4*w - 2*p. Suppose f = -2*r + w, -4*f - 37 = -r - 3*f. Let y = 6 - -2. What is the least common multiple of y and r?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -88*u**3 + 147*u**3 - 107*u**3.\nAnswer: -48*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**3 + 690*m**2 + 166626*m + 165934.\nAnswer: -2*(m - 509)*(m + 1)*(m + 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:45 AM and 11:16 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 187\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 13*b - 123. Let a(l) = -1. Let n(t) = 4*a(t) + o(t). Let h(x) = 13*x - 132. Let i(m) = -4*h(m) + 3*n(m). What is the derivative of i(u) wrt u?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 + 8. Calculate the greatest common factor of t and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7707 (base 12) to base 13\nAnswer: -5c77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 divided by 3083109?\nAnswer: 7\/3083109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1135992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(2\/15)\/a)\/a*a**6\/a)\/(a**0)**(-16))\/((a\/a**(-1))**8*(a**1)**27) assuming a is positive.\nAnswer: a**(-598\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*q**2 - 3 - q**2 - 1 + 2 + 2*q**2 - 2 - q**2 + 1 - 1 + (-4 - 5 + 3)*(3*q**2 - 5*q**2 + 0*q**2) to the form a + y*q**2 + x*q and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is e2caeb (base 15) in base 16?\nAnswer: a46baf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/11 + 16*t\/11 - 24\/11.\nAnswer: -2*(t - 6)*(t - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 160 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/(-2)*(-2)\/(-3). Let m(x) = 20*x**2 + 1. Let r be m(1). Suppose 5*s + 0*l = 3*l + r, -s + 11 = -4*l. Solve -2*f = t - s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (-3 - -2) + 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19 - -23. Suppose -u*y = y + 4*x + 11, 0 = 2*y + 4*x + 14. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 16) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -106758*c**3*u**2*v**3 - c**3*u**2*v - 2*c**3 - 24*c**2*v**3 + 127*c**2 + 191*c*u**2 + 2*c*v**2 wrt v.\nAnswer: -640548*c**3*u**2 - 144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*r - 1 + 1)*(-5*r**2 + 2*r**2 + r**2) + 61*r**3 - 126*r**3 - 162*r**3 as x*r**3 + l*r**2 + k + a*r and give x.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -46?  (a) 0  (b) 2\/3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -560 less than -548?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.7 + -0.3. Let k = c + 2.9916. Round k to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10684.5932003 - -12.6219003. Let g = -10620.98 - i. Let y = -51 + g. What is y rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = i - 1201, 0 = d + 5*i - 219 - 67. Suppose 427 = 13*v - d. What is the remainder when 113 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11.96 + 12. Let t(s) = s**2 - 10*s + 9. Let j be t(9). What is the closest to j in 1\/4, -4\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -11*b + 37. Calculate l(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 658852317 to the power of 1\/3, to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 127705 divided by -2?\nAnswer: -127705\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 78, -0.28, 928, -12?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Total of 3 and 1976181644.\nAnswer: 1976181647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1596*j = 1593*j + 51 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**4 + 3*t**3 - 8*t**2 + 3*t + 7. Let c(v) = 3*v**4 + 5*v**3 - 16*v**2 + 5*v + 13. Let u(s) = 3*c(s) - 5*j(s). Factor u(g).\nAnswer: 4*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -30 - 1001044241?\nAnswer: -1001044321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**2 + c**2 + 0*c**2)*(-428 + 330 + 254)*(2*c + 1 - 4*c + 1).\nAnswer: -624*c**3 + 624*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 372\/9 + 64\/(-48). Suppose -27*n = -g*n + 52. Solve -2*r + 9 - 2 = -3*v, 12 = 4*r - n*v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence clul when four letters picked without replacement from ulacc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5*(-5160)\/30960?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 35400 and 2819610?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.02  (b) -0.5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1012295 at least as big as 1012158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5385 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2219446?\nAnswer: 2, 1109723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92523?\nAnswer: 3, 30841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 24\/(-15)*30\/(-12). Let x = 1.0655 + -0.0655. Which is the smallest value?  (a) x  (b) w  (c) 14\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in three fifths of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 666, 656, 642, 624, 602?\n\"Answer: -2*j**2 - 4*j + 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zpzh when four letters picked without replacement from {x: 3, k: 4, h: 1, e: 2, z: 2, p: 2}.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 1)*(3*c + 4*c - 6*c) + (-4*c + 3*c + 0*c)*(-5 + 1 + 2) + 2*c + 0*c - 3*c + c + c - c + c - 1 - 2 + 1.\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 22?  (a) 0.25  (b) 2\/5  (c) 0.6  (d) 3  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 3*c - 3 = -8*c, 5*f = -5*c + 15. Suppose -3*z = -6*z + 414. Suppose -5*h + f*k = 17 - z, -k = -h + 25. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of z**5\/60 - z**4\/24 - z**2. Let f(l) = 12*l**2 - 1582*l**3 - 3406*l**3 + 4978*l**3 - 12*l. Give f(p) - 12*r(p).\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 11, 5985, 0, 1 in descending order.\nAnswer: 5985, 11, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*q + 5 - 94*q + 55*q - 2.\nAnswer: 15*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-138*s**3 + 7*s**3 - 3*s**3)*(0 + 4 - 2)*(-3 - 4 + 1).\nAnswer: 1608*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*d + 5*d - 2610. Suppose -4*f + 5*u = -10027, -d*f + 4994 = -88*f + 4*u. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -87 (base 15) in base 3?\nAnswer: -11201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.02 - 6.22. Let k = -0.019 - -6.019. Let a = r + k. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -28375\/12 - -2367. What is the common denominator of a and 74\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -23 + 27. Find the third derivative of 10*s**2 - 9*s**4 - 2*s**c + s**4 wrt s.\nAnswer: -240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 406 a factor of 561680433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 3*d - 13. Let q(u) = -79*u**2 - 5*u - 12. What is q(f(y))?\nAnswer: -711*y**2 + 6147*y - 13298","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1054277615 to the nearest integer?\nAnswer: 32470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (16 - 37 - 6) - -16?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 2  (b) 1\/5  (c) 11  (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6557*g**6 + 13*g**4 - 4*g**3 + 102720*g**2 - 34*g.\nAnswer: -786840*g**3 + 312*g - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -6*i**2 - 3*i + 3. Determine t(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-112)\/(-10) - 2\/10. Solve 2*v = k - 7, -2*k + 0*k = -v - c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 807, -165, -1\/21?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, f: 1, p: 2, w: 1, c: 1}. Give prob of picking 1 t, 1 p, and 1 f.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 13*j**3 - 4*j**2 + 4*j. Let d(z) = -105*z**3 + 33*z**2 - 33*z. Let u(n) = -11*n - 84. Let m be u(-8). Calculate m*d(r) + 33*s(r).\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 365747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1562 + 1562. Solve 25 = -b*d + 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of -1\/2*f**2 + 1\/12*f**4 - 1\/6*f**3 - 51*f - 1\/10*f**5 + 0. Let s = -3 + 2. What is x(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-2)*(-34 + 0). Let v = 29 - j. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -56\/41583 and 37\/93?\nAnswer: 1289073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -524, -753, -1004, -1289, -1620, -2009, -2468, -3009?\n\"Answer: -2*v**3 + v**2 - 218*v - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-16)*4)\/((-1)\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 162081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 4*m - 219, -15*y - m - 657 = -18*y. Let q(h) = 16*h + 2. Let l be q(9). What is the greatest common divisor of l and y?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -5*j + q, 7*j - 3*j + 8 = -8*q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 407*u. Let p(x) = 13837*x. Give -137*b(a) + 4*p(a).\nAnswer: -411*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -5, 0.1, 0.01, 1\/4, 2\/3, -1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -23.6 or -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 5 - 3 = 0. Let v be (-2)\/(-1)*(k - -4). Suppose 66 = v*r - 5*o, -5*o + 18 - 98 = -5*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15982 * 12657\nAnswer: -202284174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -67, -278, -2, -0.1, 3 in increasing order.\nAnswer: -278, -67, -2, -0.1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.051253 smaller than -7.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the third derivative of -z**4\/24 - 2*z**3\/3 - 3*z**2. Let s be c(-6). Is s\/2 + 1 - -89 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 3659*i - 600669. Determine p(164).\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -2352 divided by 2\nAnswer: -1176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.37 + 17.63. Let j = -19.84 + o. What is j rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 33 = o, 0*o - 77 = -3*o + 4*y. Let s be -1*1 + (-12)\/2. Let w = s + o. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 134*(-20)\/(-32) - (-1)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1860 + -0.02?\nAnswer: -1860.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-b + 1 - 1)*(2 + 3 - 6) + 20*b - 14*b - 5*b + (6 - 4 - 3)*(-b + 0 + 0) + b + 0*b + 0*b)*(3 - 2 + 1)*(-3 - 1 - 1)*(-2*b + 2*b**2 + 2*b).\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -8 - (33 - 54 - -40 - (68 - 2))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 3785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3.9 - 6. Let n = -2 + c. What is n rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 10098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - n = -4*n - 2, 4*i + 4*n = -24. Let z = i - -5. Suppose 2*b + z*s - 3164 = 0, b + 3*s - 1587 = -s. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.066, 0.3, 2\/13, -0.3, 4342 in ascending order.\nAnswer: -0.3, -0.066, 2\/13, 0.3, 4342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21.9045 - 0.0045. Let x = l + -2.9. Let m = 19.000011 - x. Round m to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 281 is divided by 77.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8052535?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 345309 to the power of 1\/2, to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.25 - -0.15. Suppose 0 = -3*w + 5*k - 21, 2*k + 1 - 17 = 5*w. Let r = -6 + 2. Which is the smallest value?  (a) r  (b) n  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1090, -1115, -1136, -1153, -1166, -1175, -1180?\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 76395.32 rounded to the nearest 10?\nAnswer: 76400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 143*f**2 - 30689*f. Let g(z) = -229*z**2 + 46033*z. What is 5*g(l) + 8*m(l)?\nAnswer: -l**2 - 15347*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 8. Suppose 0 = 4*c + 5*z + 2, -c + 5*z = -w*c. Let j(l) = 5*l - 2. Calculate j(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1676)\/16 - (-1)\/(-4). Is 2 a factor of (24\/14)\/((-30)\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 44 - 46. Which is smaller: y or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -82\/3 - -28. Sort -2, s, -4 in descending order.\nAnswer: s, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hgpp when four letters picked without replacement from {h: 2, p: 4, g: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, 58988 in decreasing order.\nAnswer: 58988, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8 - 7\/35*25. Solve -d*m - 5 = 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 166.5 - 170. Let a = q + 3.5. What is the nearest to a in -0.2, -2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = 7*g - 33, -56*g = -57*g + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 less than -13072768481.56?\nAnswer: -13072768490.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 167103251 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-36)\/28*(-33390)\/1431.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 smaller than 266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1399 = -26*z + 4945. Suppose 3*j - 2*j + i - z = 0, -2*i = 4*j - 966. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.17 - 6.17. Which is the second smallest value?  (a) y  (b) -2\/15  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j + 0*j + 0*j**5 - 4*j**4 - 2*j**5 + 4*j**2 + 0*j.\nAnswer: -2*j*(j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7\/5 + (-9 - -8). Let h = -7 + 20. Let u = h + 13. What is the closest to k in 0.5, u, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/11 in -5, -2, 2\/15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1056307 is divided by 2332?\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*i - 2*i + 3*i + (-429*i + 608*i + 228*i)*(2 - 2 - 1) to y + o*i and give o.\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 126 divided by -21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-96)\/(-16)*(-2)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3106984 to the nearest 100000.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of l**2\/2 + l - 82. Let k(z) = 2*z**2 - z + 4. Give k(v) + 3*y(v).\nAnswer: 2*v**2 + 2*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*v**3 - 20*v**3 + 40*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 2*c = x - 30, 12 = -2*c + 4*x. Solve -c*h = -85 + 61 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13\/21 - -9\/7. Let u = k + -5\/12. Factor -u*a**3 + 1\/2*a**2 + 0 - 1\/4*a.\nAnswer: -a*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42.05463l in millilitres?\nAnswer: 42054.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 + m**2 + m - 71. Let f be z(0). Let t = -77 - f. Let d be (-10)\/(-3) - (-8)\/t. Solve -3*v + s = -10, 0*s = -3*v - 2*s - d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2.4, 2, 2\/3, 413?\nAnswer: 413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 30, 64, 98?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/6*(-8)\/(-32)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/5681852  (b) -1.1  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 PM and 7:42 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-five quarters of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 430572*k**2 + 107085578*k - 2?\nAnswer: 861144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 4*a = 0, f + 3*a = 5*a. Let o = -65 + 95. Suppose f*u + u - o = 0. Solve -4*b - 4*m - 8 = 0, -m = -3*b + 4*m - u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -7*a**2 - 365*a - 60. Determine j(-52).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1155 - 1155 + 54*l)*(5 - 2 + 3) - 2 - 3*l + 2 to the form d*l + b and give d.\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001562 rounded to seven decimal places?\nAnswer: 0.0000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1991962, -3, -6 in descending order.\nAnswer: 1991962, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 291670*u - 1. Let c(h) = -h + 1. Let l(s) = 6*c(s) + 2*j(s). Let d be (-6)\/10 - 81\/15. Let a be l(d). What is a rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -16.3, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21978697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lllgllggllllllgg. Give prob of sequence lgl.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 - 12. Suppose 0 = b*k + 26 - 10. Suppose 3*r + 5 = -4. Which is smaller: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -207.5 - -208. Which is the second biggest value?  (a) -0.6  (b) -1\/7  (c) q  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -20*s**4 + 2*s**3 - 450*s**2 - 15154.\nAnswer: -80*s**3 + 6*s**2 - 900*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(66)*1*-6 - sqrt(66) - sqrt(66) - sqrt(66) - (sqrt(66)*-1 + sqrt(66))*-1)\/((sqrt(72)*-2)\/sqrt(12)*-2*-6))**2.\nAnswer: -15*sqrt(11)\/4 + 1699\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -133*z**3 + 69*z**3 + 5 + 65*z**3 - 5.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -x + 2*x + 9, -5*x - 25 = 0. Calculate the smallest common multiple of 6 and 117\/12 + t\/(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-2*(sqrt(121)*2*-2 + sqrt(121)))\/(sqrt(539)*4 + sqrt(11) - ((3*sqrt(99))\/sqrt(9) - sqrt(11))).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/200*-5 - (5597\/(-145) - -20).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83*x - 20 = 78*x. Calculate the greatest common divisor of x and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 798000 is divided by 79.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 20*a**3 - 3*a**2 - 5*a - 8. Let d be s(8). What is d rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 48 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in 0.1, 2\/15, -0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a + 2 - 4. Let d be (-1)\/((-3)\/(-6)) - a. Suppose -2*o - 16 = 4*r - d*o, -18 = 3*r + 3*o. Which is smaller: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of 11*t**4\/8 - 5*t**2\/2 - 59*t. Let z(y) be the first derivative of h(y). Let o(j) = -5*j. Calculate z(o(d)).\nAnswer: -165*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -4*z. Let o(c) = -17*c. Let t(b) = 2*o(b) - 9*y(b). Let j(w) = -4*w**2. What is t(j(n))?\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 175.803 + -176. Let u = b + 0.19699903. Round u to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2716*m**3 + 2*m**2 + 1894*m**3 - 2*m**2 + 4144*m**3.\nAnswer: 8754*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 4*l - 40 - 60, -4*l - 220 = -5*f. Suppose -k + 5*k - f = 0. Calculate the remainder when k is divided by (-100)\/(-16) - 1\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/250760 and -31\/100304.\nAnswer: 501520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38 - 18 + 37 - 30850*j - 114.\nAnswer: -30850*j - 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 210 and 596915445.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/63 in -1, 6, -1\/9, -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -311619 bigger than -311620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*o + 26 = -q, -9*q - 65 + 34 = 4*o - 95 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 31 = -w, 2*w + 2*q - 47 = 3*w. Let t be (w\/2)\/(-13) + 0. What is the second smallest value in -0.5, -0.35, t?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 3*m**2 + 10*m + 109. Let w(f) = -15*f**2 - 48*f - 558. Let y(h) = -36*c(h) - 7*w(h). What is y(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(1224))\/((-3*sqrt(20))\/sqrt(10) + sqrt(2)).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 + 44 = -4*x. Let b(t) = 10*t**2. Let r(o) = o**2. Let d(y) = x*r(y) + b(y). Let v(a) = -470 + 470 + 6*a**2. Give d(v(j)).\nAnswer: -180*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + b + 2*z - 2602 = 0, 3*b = z + 3899. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1961 = 95*a - 10864. Calculate the greatest common factor of 36 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1081768.000024 - -1081774. Let h = -6 + f. What is h rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20424 (base 7) to base 3\nAnswer: 20212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1268496693 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 58291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l**3 + 45 + 7*l**3 - 100 + 55.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 413*f**5 + 52452*f**4 + 198780*f**3 - 555830*f**2 + 303447*f + 738 = 0. Calculate f.\nAnswer: -123, -6, -1\/413, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 52 - 47. Suppose -4*r + f*r + 40 = 0. Let o = 143 + r. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*d**2 + 39*d**2 - 60*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*y + 580 = -64*y - 1996 - 1076 for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*o + 2115 = 2*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 4*s. Let a(z) = 35*z. Give -6*a(w) + 55*f(w).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 5*g = 29, 2*h + 6 = 5*g - 11. Let u = 5 - h. Suppose 7 = -3*j + 4*j + 5*i, 10 = -2*i. Calculate the remainder when j is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 - 5*w**2 + 10*w + 23. Give c(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bqb when three letters picked without replacement from qbbqbbbbbbhbbqbb?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-107*k**2 + 107*k**2 + 5 - 8*k**3)*(0 + 2 - 1)*(-2*k + 3*k + 0*k) to a + y*k**4 + j*k**3 + x*k + o*k**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.9 + -1. Let g = 281 - 283. Sort x, -5, -1\/3, g in descending order.\nAnswer: x, -1\/3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 42*h**2 - 18*h**2 - 21*h**2 in the form w + c*h + s*h**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*l - l - l)*(2 + 4 - 4) + 5*l - l - 3*l to m + n*l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 0) + (-8 - (8 + -18))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*z + 2 - 2 + (301 - 301 - 16*z)*(-1 + 2 - 6) + 43 - 20*z - 43.\nAnswer: 62*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1685, 1696, 1681, 1628, 1525, 1360, 1121?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 3*v + l = 17, 5*l = 2*v + 17. Suppose v + 2 = -3*w. What is the tens digit of 2 + 2 + (-126)\/w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4570 times -0.019?\nAnswer: 86.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/3, -10\/87, -0.4, 94, 4, -2\/11, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7201 in 0, -2928, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((33\/(-72))\/11)\/1. Let x = u - -77\/120. What is the smallest value in -32, -2\/3, x?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(2057) - (sqrt(2057) + 1))*5 + -1 + 2)*2*-4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n = -3*n + 5*x + 10, -2*n = -4*x - 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -325*q**2 + q - q. Let g(h) be the second derivative of h**3\/3 + 1188*h. Determine t(g(u)).\nAnswer: -1300*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1745 - 1741. Which is the closest to 0?  (a) 9\/7  (b) 3  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -822*b**6 - 2*b**5 + 8*b**4 + 72952*b**2?\nAnswer: -98640*b**3 - 120*b**2 + 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -12 - 26854?\nAnswer: -26866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2821.4 + 2821. Let t = -0.3 + 0.1. Which is the second biggest value?  (a) -0.3  (b) 3  (c) s  (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -11671 + 11669 + 0*z + 4*z**2 - 2*z. Give x(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -69, -147, -235, -333?\n\"Answer: -5*n**2 - 63*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qes when three letters picked without replacement from {y: 3, m: 3, e: 1, q: 1, s: 11}?\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -461*d**6 + 5*d**5 - 3*d**3 - 27*d**2 - 2*d - 94 wrt d?\nAnswer: -55320*d**3 + 300*d**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -7*b**2 + 5*b. Let i(k) = 20*k**2 - 14*k. Let u(o) = 5*i(o) + 14*v(o). Let n(d) = -36*d. What is n(u(x))?\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -368 plus 0.04?\nAnswer: -367.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 188, 5, -2, -1165 in decreasing order.\nAnswer: 188, 5, -2, -1165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11001 = 2*w - 2*u - 11003, 2*w + 3*u - 27 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5 + 3 + 4*b**5 - 6*b**5 + (0*b**2 - 3*b**3 + 0*b**2)*(4*b**2 - b**2 - b**2).\nAnswer: -8*b**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110 + -11101010000?\nAnswer: -11101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 204881 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 130*f*k + 65*k - 2 wrt f?\nAnswer: 130*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.268 to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1045579?\nAnswer: 73, 14323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -101100101011011111 (base 2) in base 4?\nAnswer: -230223133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 95, 411, 937, 1673?\n\"Answer: 105*k**2 + k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**0)**(-11))**(1\/8) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*k - 16*k - 13*k + (2 - 2 + 4)*(-k - k + k) + (-19 - 15 + 18)*(2*k + 3 - 3).\nAnswer: -54*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of d**5\/480 - 53*d**4\/96 - 107*d**3\/48 - 39*d**2 - 2. Factor v(f).\nAnswer: (f - 107)*(f + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 68 - 66. Let v = -0.4 - -1.1. Let x = v - 0.7. Which is the third smallest value?  (a) x  (b) n  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -96927185 by 2.\nAnswer: -96927185\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5239438 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 213*p**2 - 12*p - 12. Calculate g(-1).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 11.77 and -1223.7.\nAnswer: -14402.949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 AM and 5:46 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**6\/c**12)\/(c*c\/(c*(c\/c**(-2\/3))\/c)*c*c**9) assuming c is positive.\nAnswer: c**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 - -3. Let h(t) = -1110*t + 12. Let b be h(-2). Let w be (-4)\/(-14) + b\/28. Calculate the greatest common factor of w and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -25*u**2 + 60*u. Let s(t) = 325*t**2 - 800*t. Let l(y) = -40*c(y) - 3*s(y). Let g(o) = -2*o + 22. What is g(l(z))?\nAnswer: -50*z**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/4)\/(3\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/4)\/(5339\/532 + -10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 5:37 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbbbb. Give prob of sequence bb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 18?  (a) -4  (b) -0.2  (c) 10  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 627732 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -3*y. Let m(j) be the third derivative of -1\/24*j**4 + 0*j + 0*j**3 - 4*j**2 + 0. Give m(u(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -24, -1, 308\/3, -4\/5, -4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*z**3 + 10*z**3 - 26*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 + 11*z - 1. Let s be y(-11). Let d be ((-1)\/2)\/(s\/12*3). What is the third derivative of 533*k**4 - 10*k**d - 15*k**5 - 533*k**4 wrt k?\nAnswer: -900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1\/4, 5, 19572, -0.1, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 2*g = 4*o + 36, -o - 19 = -3*g. Let w be o - (-26)\/7 - (-111)\/315. Do 0 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n*n\/(n**(-1\/6)*n*n))\/n)\/n*n**(-7)*n*n)**(-19) assuming n is positive.\nAnswer: n**(665\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6756912 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*i = -5*d - 58, -2*d + 5662*i = 5666*i + 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 619217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/13345 <= -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**3 + 14628*d**2 - 87660*d + 131436.\nAnswer: -4*(d - 3651)*(d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/1258 and -145\/12.\nAnswer: 7548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 2:16 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/24 - 747\/(-432)*-20) + 7\/21?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1870.49 + -1806. Let d = b + -2.19. What is d rounded to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 429405 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-3)*4*(-9)\/(-22)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + 18*j**2 + 11*j + 40. Let c be l(-18). Let o(p) = 14*p**2 - 9*p + 7. Let k be o(6). Let d = c + k. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 + 11*v**2 - 25*v + 11. Let m be k(-13). Sort 5, 0, m in decreasing order.\nAnswer: 5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 + 20187699144640?\nAnswer: 20187699144640.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 1. Suppose 44 = 3*v - 4*m, 0*v = -4*v + 2*m + 42. Let b = v - u. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -2*k - 6. Let o(r) = -2*r - 10. Suppose 11*l + 35 = 6*l. Let w be o(l). Solve v + 1 = -w*x - 8, -v = -k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 + 4*b**2 - 6*b - 1. Let r be c(-5). Suppose -r*l = 4 + 4. Let j be -4*(-3)\/(-3) + (4 - 3). Is j at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15161546 is divided by 3050?\nAnswer: 3046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1582.45305 rounded to the nearest ten?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -162451.2 * 0.33\nAnswer: -53608.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 267328, 267288, 267190, 267004, 266700, 266248?\n\"Answer: -5*h**3 + h**2 - 8*h + 267340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 at least 87617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 257*k - 277*k + 11040. Calculate the highest common factor of k and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/26*12\/36.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + 5\/5 + -1. Solve -i - 14 = -4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 361183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + (-570 + 587 - (-1 + 32)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1 + -0.3. Let v = -273 - -90. Let f = 182 + v. Which is smaller: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -103, -112, -127, -148, -175, -208?\n\"Answer: -3*q**2 - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20221021 (base 3) to base 6.\nAnswer: 35224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 37 = 4*h, -3*h - 13 = s - 9. Let z(w) = w**3 + 2*w**2 + 8*w + 2. What are the prime factors of z(s)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 22 - 6 = -3*h, -2*h = 4*z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 963350 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*o + 16*m = 24*o + 12*m + 1210, -6*m + 7*m = 2*o + 44 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 462530 = -4*p + 783663, -2*l - 623114 = -2*p. What is p rounded to the nearest one thousand?\nAnswer: 312000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 2 y, and 1 v when four letters picked without replacement from {e: 2, v: 1, a: 1, y: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -5*d + 20. What is j(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12)\/(sqrt(36)\/sqrt(9)) - sqrt(3) - (-3 + (sqrt(9)\/sqrt(3) - sqrt(3)))) + (sqrt(135)\/sqrt(5))\/sqrt(9) + sqrt(12) + 2)**2.\nAnswer: 30*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the first derivative of -19*a**2\/2 + 60668. Let j(c) = 5*c. Let m(n) = n. Let o(p) = j(p) - 3*m(p). Determine v(o(t)).\nAnswer: -38*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 166231673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*c*o*q - 2*c*o + 5922*c*q**2 - 92281*c*q + 3*o*q**4 wrt q.\nAnswer: 11844*c + 36*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13 - 4 - 11)\/(-1 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (16 + -4 + -3 + 9 + 7).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r*r\/r**(2\/5))\/r)\/(r*r**6*r*r))\/(r*r\/(r\/(r**0\/r)))**46 assuming r is positive.\nAnswer: r**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 192\/11 - 8\/11*z**2 - 2\/11*z**3 + 8*z.\nAnswer: -2*(z - 6)*(z + 2)*(z + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2433 - 2433. Put 6\/11, s, 2 in descending order.\nAnswer: 2, 6\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -2\/10323  (b) -7  (c) -1\/3  (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -5*h**2 + 35*h - 175. Let q(r) = r - 5. Let w(g) = 2*n(g) - 70*q(g). Let v(k) = 27*k**2. Calculate w(v(c)).\nAnswer: -7290*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -434024.289 rounded to the nearest ten?\nAnswer: -434020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 85513485 to the power of 1\/2, to the nearest integer?\nAnswer: 9247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -62*n - 12. Let x(v) = -25*v - 5. Let w(q) = -5*b(q) + 12*x(q). Calculate w(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 5*x + 442, -2*x = 8*b - 3*b - 716. Let w = b + -32. Calculate the highest common factor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 198\/(-27) - 1\/(-3). Let p = -7 - c. Find v such that 0*v + p - 2\/9*v**2 + 10\/9*v**4 + 2\/3*v**5 + 2\/9*v**3 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -158\/3 + 54. Let n be ((-2)\/4)\/(2\/64). Let z = n + 17. Is v greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/20 and -26\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lql when three letters picked without replacement from qllq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -2*u**3\/7 + 76*u**2\/7 + 5042*u\/7 + 4964\/7 = 0.\nAnswer: -34, -1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of r**5\/20 + 13*r**2\/2 - 20*r. What is the remainder when v(0) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1*(-145)\/(-25))\/(171\/855).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -z**5 + 3*z**5 + 22*z**2 + z**5 + 0*z**2 wrt z?\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (14 + 26)*(-2)\/(-4). Let a = s + -37. Let h be a\/34*0\/2. Solve -1 = r - h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 - 5*q**2 - q + 6. Let d be g(4). Let h(x) = -2*x - 28. Let y be h(d). Solve 0 = -4*m - y - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97.89496ml in litres?\nAnswer: 0.09789496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b + 3*b + 0*b)*(b**4 + 3*b**3 - 3*b**3).\nAnswer: 3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -110 + (-24 - -28) + 71.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*h = -26*h - 19. Suppose -5*y = -16 - h. Suppose -2*n + y*n - 560 = 0. What is the remainder when n is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 158 = -x, -2*x + 3*r + 182 + 99 = 0. Let v = x + -124. Solve z = 4*z + v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45496?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -11*z + 17. Let g be b(-14). Let d = g - 97. What are the prime factors of d?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 + 47*z**2 + 204*z - 42. Let j be p(51). Let k(i) = 10*i - 4. Let d be k(-3). Let f = d - j. What is the smallest common multiple of f and 44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 5, k: 8, y: 4, q: 1}. What is prob of picking 2 k and 2 y?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 24*d - 23*d - 3215, -5*r + 6426 = 2*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*n**2 - 95*n + 23*n**2 - 53*n**2.\nAnswer: -2*n**2 - 95*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -745 + 751. Calculate the highest common factor of 22 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 7133005.\nAnswer: -1\/7133005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-28)\/(-21)*(-18)\/(-8). Suppose 29 = 5*l + 4*n, 5*l - 1 - 26 = -2*n. Solve l*q + b = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4428748145.6 - -752045258.6. Let q = -3676702724.0000193 - g. Let z = q + -163. What is z rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2617008.\nAnswer: 2, 3, 54521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (10\/8)\/((-24)\/(-144))*12*90\/(-162)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(-2*sqrt(2176) + sqrt(2176))*6)\/(-1*-2*sqrt(2450)))**2.\nAnswer: 352512\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of 0*u - 8\/3*u**3 - 1 + 4*u**2 - 3\/2*u**4. Let x(a) = a**3 + a**2 - a. Calculate 8*x(c) + z(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**3 - 7*o**2 + 9*o - 19. Calculate the remainder when q(7) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*80\/50*1\/(-12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00103322459 rounded to six dps?\nAnswer: -0.001033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -87+-59.284\nAnswer: -146.284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-17))\/((-70)\/35)*-1?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 27513731249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 51 - (2 + 0) - 0. Suppose 2*z - 4*y = 66, -2*z - 5*y + 44 + v = 0. Is 28 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.04 - -0.041. Let x = f - -0.999. Which is bigger: -2\/247 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5522226g to nanograms.\nAnswer: 552222600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 9*v**3 + 2*v**2 - 2*v + 2. Let h(w) = -9*w**3 - 3*w**2 + 3*w - 3. Suppose 5*s - 3*f + 11 = 2, f = 2*s + 4. Determine s*a(o) - 2*h(o).\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -354, -77, 0, 5, -4, -9 in descending order.\nAnswer: 5, 0, -4, -9, -77, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 3 - -6 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) 0.5  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7938238 and 5051606.\nAnswer: 55567666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f**2 - 1508*f + 21504 = 0. Calculate f.\nAnswer: -768, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 PM and 12:59 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 divide 26428164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -65932, -65934, -65936?\nAnswer: -65938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 287.18931 months to millennia.\nAnswer: 0.0239324425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(-84)*174\/145*7?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 4 - 7345*k**3 - 6383*k**3.\nAnswer: -13728*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 4*l + 5844. Suppose 0 = -6*c + 2*c + l. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 23104 and 474563?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h + 4*y - 1, -3 = 3*h - y - 7. Let f(m) = 2*m + 4. Let q(a) be the third derivative of -a**3\/6 + a**2 + 14. Calculate h*f(c) + q(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 3*y**2 + 58*y + 33. What is t(-18)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, h: 1, s: 2, u: 4}. Give prob of sequence szhs.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -257*u - 777. Let r be f(-3). Suppose -3 + 3 = 8*v. Sort -3, v, -1, r in ascending order.\nAnswer: r, -3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 9.898604\nAnswer: 1.9797208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47483847?\nAnswer: 3, 31, 56731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -52319.7382 rounded to the nearest 100?\nAnswer: -52300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 29a + -5?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14412 - 3444?\nAnswer: -23411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 125, 125, 151, 203, 281, 385?\n\"Answer: 13*i**2 - 39*i + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9810 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:07 AM and 4:30 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14040 + 14036 - 4*o**2 - 28076.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -20, -0.01, 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/23 in 0, 21.592, 0.23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 - -2. Let p be (-41)\/13 + s\/(-13). Does 23 divide 46\/(-4)*(p + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 + 2*n**2 + 14*n - 41. Let p be y(5). What is the common denominator of 73\/189 and (-41)\/45*(p + 52)?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 152*p - 20300 = 964*p for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -10938, -21490, -32042, -42594, -53146, -63698?\n\"Answer: -10552*a - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -23 - -349395a?\nAnswer: 3493937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a + l + 19 + 3, -l = 4*a - 14. Suppose j - 22 = -0*j + 5*x, 3*j = 2*x + 27. Let n = j + a. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1347864 is divided by 323.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of -5*x**2 + 0 - 7\/12*x**4 + 0*x**3 + 0*x. Let i(o) = -3*o**2. What is v(i(l))?\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 3:06 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 2  (b) 3  (c) -8  (d) 0.1  (e) -3\/2  (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 88*f**2 + 2*f + 9613. Let g(c) = -2*c. Give g(h(i)).\nAnswer: -176*i**2 - 4*i - 19226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -460 + 464. Let p = -0.02 - 0.28. What is the smallest value in n, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1173 divided by 17\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 312?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 11*g + 2 + 2*g - 2 + (2 - 4 - 2)*(-2*g - 4*g + 5*g))*(g - 5*g - 4*g).\nAnswer: -136*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 20\/(-30)*(-3)\/2. Solve 2*a - m - 3 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of -v**7\/315 - 17*v**5\/60 - 14*v**2. Let x(z) be the third derivative of l(z). Let t(w) = w. What is t(x(u))?\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1451?\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 10*q**3 - 2776*q**2 + 1662*q = 0.\nAnswer: 0, 3\/5, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**2 - 7*s + 7. Let u be 2 - 20\/(-5) - 0. What is v(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (40\/(-1152)*-9)\/(5\/12)*1552\/(-12).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*w + 9*w = 3*n - 4, -4*w = 4. Suppose -n*o - 2*k - 1 = 0, 4*k + k = -3*o - 16. Solve o*r = -0*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-x - x + 3*x)*(3 + 0 - 1) - 12*x + 9*x + 4 - 3)*(2 + 0 - 1) + 3*x + 0*x - 4*x + (4*x - 6*x + 3*x)*(0 - 2 + 0).\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 - 7. Suppose f*h = 4, -3*b - b = h - 46. Calculate the remainder when 42 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2292 - -2334. Sort s, 3, 4, -5 in decreasing order.\nAnswer: s, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7\/2*(-30)\/175*10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/4 + 2\/8. Let t(o) = 4*o**2 - 2*o + 1 + 6*o**2 + 5*o**2. Let x be t(1). Solve 4*i - 5*r + 17 = s, 2*r - x = -i - i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 6*s + 4. Is 12 a factor of -1 + (s - (-24 + -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 + 21. Suppose i = -47 + w. Is -36 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 8*g - 3*g = 6, -5*f + 4*g = -30. What are the prime factors of 2*(177\/f - -4)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -890.65 - -895. What is v rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -229 + 244. Suppose f*c = 12*c + 159. What is the greatest common divisor of c and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -19 + 20. Let v be -3 + (2 - -16)\/2. Let z be 3 + ((-32)\/v)\/2. Which is the third biggest value?  (a) n  (b) z  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2867 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i**5\/7 + 45*i**4\/7 + 39*i**3 - 6057*i**2\/7 + 3618*i - 4536 = 0.\nAnswer: -12, 3, 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2768681830 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -2*z**3 + 71*z**2 - 1417*z + 48385. Calculate y(35).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -107, -100, -89, -74, -55, -32, -5?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (12\/(-7))\/((-28384)\/55881) and 71\/7560?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 4*q**2 - 4 + (-3*q**2 + 4*q**2 - 4*q**2)*(17 - 38 + 15) + 0 + 0 + 9*q**2 - 4*q**2 - 4*q**2 + 4*q**2 as l*q + g*q**2 + v and give g.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q = 117*k - 112*k + 26, 3*q = 4*k + 32 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101100122 (base 3) to base 11.\nAnswer: -5744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 - 17.3. Let a = 0 + q. Is -6 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zqqzz. What is prob of sequence zqzq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 5661800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 AM and 10:14 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*z - 7909 = -7885 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 43*h + 472. Is l(-8) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -8*m - 1. Let n be a(-1). Let u(o) = -o**2 + 10*o - 10. What is the remainder when 30 is divided by u(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/160 and 41\/48.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 26*u**3 - 7*u**2 - u + 37. Does 5 divide y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 242 and 132564575?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(91) - (1*sqrt(91) - sqrt(91)))*-2)\/(sqrt(63)*-2)*-4 + 4.\nAnswer: -4*sqrt(13)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 14376, 14403, 14472, 14601, 14808?\n\"Answer: 3*g**3 + 3*g**2 - 3*g + 14373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*i*q**3*s + i*q**3 - 2*i*q**2*r*s - 2*q**3 - 2*q**2*s + q*r*s + 7*q*s wrt i.\nAnswer: 3*q**3*s + q**3 - 2*q**2*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 40680 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.017 in -0.2, 2\/41, -1\/7?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 19231 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of -1\/2*u**4 + 0*u**2 + 3 - 1\/15*u**6 - 1\/3*u**3 + 2*u - 3\/10*u**5. Let k(j) be the first derivative of f(j). Factor k(s).\nAnswer: -2*s*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 929 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -6 - (-12 + 10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7333 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-16)\/(-4) - (-1 + -64)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/11 + 2576\/77 + 1. Suppose 4*q + v = 9*q. Solve 2*n = q*n + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -80944, -80909, -80874, -80839, -80804, -80769?\nAnswer: -80734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.49  (b) 9  (c) 0  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -0.3  (b) 1\/400  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.349 plus 0.14?\nAnswer: 0.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 4*s - 7, -8 = -3*s - 3*v + 1. Suppose 0 = -s*w + 34 - 10. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - 9 = 2*u, u + 5*s = 56 - 64 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c + 18. Let m be d(10). Which is smaller: m or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 461271 less than -28111?\nAnswer: -489382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1253, -2537, -3903, -5393, -7049, -8913?\nAnswer: -11027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 17923.2 and 26969.\nAnswer: 44892.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:56 AM and 5:02 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (((-2*sqrt(156) - sqrt(156)) + sqrt(156))*4*4)\/((sqrt(300) - (sqrt(300) + sqrt(300) + (sqrt(300)*-1 - sqrt(300)))) + sqrt(432)*-2) + 1.\nAnswer: 1 + 32*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 2*m - 4. Let l be t(2). Let f be -3 - 0 - 9\/((-24048)\/8668). Let p = f + 1\/167. Is l at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-44 - 0) + (-2 - (-20 + 2))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 184, 2.9, 1.3 in descending order.\nAnswer: 184, 2.9, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 25*p**4\/8 + 49132135*p**3\/4 + 96558706892029*p**2\/8 + 19311729586695*p\/2 + 3862345131225\/2 = 0.\nAnswer: -1965285, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1805286 * 4.\nAnswer: -7221144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 33  (b) 0  (c) -482  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 73\/14 + (1 - (-5)\/(-7)). Suppose -y - 14 = -0*y - 2*n, 5*n - 8 = -2*y. Let q = y + r. Is q not equal to 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4788311?\nAnswer: 11, 71, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of 0*o**4 + 3\/2*o**3 + 0*o**5 + 0 + 40*o - 1\/2*o**2 + 0*o**6 + 13\/21*o**7. Find the second derivative of n(b) wrt b.\nAnswer: 520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*f - 2*z - 87, -3*f = -30*z - 28*z + 61*z + 33 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -17773705*b**2 - 4*b + 3021137 wrt b?\nAnswer: -35547410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 2*g + g = 44, 2*s + 3*g = 23. Suppose f - q = 4*q + s, 5*q + 4 = 2*f. What is the second biggest value in f, 11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4 - 3) + 3)\/((-4)\/3). Suppose -2*f = -x - 4, -b*x + 8 = -2*f + 4. What is the units digit of (-1)\/(-4) + 223\/f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7899 - 7901. What is the third smallest value in u, 5, 3, 2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 668, 2710, 6112, 10874?\n\"Answer: 680*g**2 + 2*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -218 divided by -229.\nAnswer: 218\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (53 - (2 + 0))\/((-9)\/(-99))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + 4. Let u(j) = 6*j**2 - 2*j + 3. Let f be u(q). What is the highest common divisor of f and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 + 30 + (-90 - -53)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**3 + 10*s**2 + 10*s - 181. Calculate t(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 797 = r - 5*s, 3*r + 5*s = 2391. Suppose -o + 3*o = 3*h - 793, -o = -3*h + r. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -740.6 + 0.2?\nAnswer: -740.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 207158?\nAnswer: 2, 7, 14797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 121, 243, 367, 493, 621, 751?\nAnswer: 883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 4*d + j - 280, 0 = -2*j. Let n = -46 + d. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 86*b**2 + b - 1. What are the prime factors of h(-1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30 and 64725?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-1\/4)*q)**35)**(-9\/2)*q**7*q\/(q\/(q\/q**(3\/7)))*(q**(2\/7))**1 assuming q is positive.\nAnswer: q**(-14995\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2\/5 + 2751738*g\/5 - 631005168387\/5.\nAnswer: -3*(g - 458623)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.89 - -2.49. Let t = -3.4 - n. Which is the nearest to 0.05?  (a) t  (b) -3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 666817549\/204790 - 83\/20479. Let g = 3266 - z. Let k = 1918 - 15271\/8. What is the common denominator of g and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (460\/575)\/(-3*(-2)\/(-210))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3.14 - 27.16. Round b to zero dps.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 5*z + 30 = 0, -5 = -2*a - 3*z + 62. Let l be 59\/7 + (-15)\/a. Is l smaller than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -14 in 0, -15\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -22935711688 from -4.\nAnswer: 22935711684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/45)\/(9\/(-45))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 9*i**2 + 4*i - 10. Let y(d) = -9*d**2 - 5*d + 10. Give -4*q(g) - 3*y(g).\nAnswer: -9*g**2 - g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 402*y**4 - 2*y**2 + 7.\nAnswer: 9648*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1693 + -1194. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -213 + 218. Suppose -3*a - 68 = -s, s - j*a - 58 = 10. What is the remainder when 202 is divided by s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-22) - (-10591)\/1309. Let c(y) = y**3 + 10*y**2 + 8*y - 7. Let p be c(-9). Solve p*r = f + 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p = -5651 + 5656. Sort 2\/7, p, -6\/91.\nAnswer: -6\/91, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 36519600 and 13572?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1539 is divided by 140?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5)\/((-2)\/4*60\/90). Calculate the greatest common divisor of z and 180.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13378 is divided by 6403?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 39137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (22 - 1)*(-2)\/(-6). Suppose 44 = -4*a + 4*h, 5*a + p = -4*h - 3. Suppose 7 - 17 = 2*y. Is y less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-61)\/3*18117720\/(-112). Let s = -3285055 + m. Let j = -4177 + s. Calculate the common denominator of 53\/22 and j.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12653560 + 137.\nAnswer: -12653423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1660, -1655, -1642, -1621, -1592?\nAnswer: -1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1059608?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the third derivative of d**6\/120 - 3*d**5\/20 + 2*d**3\/3 - 101*d**2 - 8*d. What is g(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 - 11*d - 13. Let w be o(12). Let l(q) = 11*q**2 - 4*q - 6. Calculate the remainder when l(w) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7\/63156 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 234\/126 - 48\/21.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -t**4 + 35*t**3 - 229*t**2 + 357*t - 162 = 0.\nAnswer: 1, 6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -504, -2059, -4632, -8223, -12832, -18459?\n\"Answer: -509*d**2 - 28*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*j - 2*j - 10*j - 2*j + 3.\nAnswer: -28*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 5 = 4*c. Suppose -1 = -3*h + 5. Which is smaller: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**3 + 4*z**2 + 6*z - 5. Let n be s(4). Suppose 2*c = -5*c + n. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -7*c*r**2 + 5*c*s + 11*c + 45*r**2*s + 5*s wrt r?\nAnswer: -14*c*r + 90*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f**3 + 10*f**3 - 2*f**3 - 3*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 1:47 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7319*u**2*w**2 + 131*u**2*w + 110*u**2 + u wrt w?\nAnswer: 14638*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-2*sqrt(91) + sqrt(91)*-1*-2)\/((sqrt(84)*2*3 - sqrt(84))\/(sqrt(972)*-2 - sqrt(972) - sqrt(972))).\nAnswer: -72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -255 - -370. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -96*k**2. Let z(m) = 5*m. What is c(z(o))?\nAnswer: -2400*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -64401*0.009\nAnswer: -579.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 - -1. Let k(z) = -z**2. Let h be k(1). Let s be ((h - 0) + 0)*-2. Which is the closest to 0?  (a) s  (b) 1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8586980?\nAnswer: 2, 5, 429349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15 + 17. Suppose -v*p = -5*p + 9. Suppose p*m - 102962 = 107038. What is m rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 15*n - 4. Let z(w) = -15*w + 4. Suppose 7*y - 14 = 2*y - 3*k, -2*k - 24 = -5*y. Let c(t) = y*z(t) + 5*f(t). What is the tens digit of c(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1319*u**2 + 4 - 2 - 6*u**5 - 1322*u**2 + 0*u**5 + 2*u**5 - u**5 + (u - 2*u**2 - u)*(-3*u**3 - 2*u**3 + 2*u**3) - 10*u**5 + 3*u**3 - 3*u**3.\nAnswer: -9*u**5 - 3*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add 7 and 3496.\nAnswer: 3503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -301 (base 9) to base 7\nAnswer: -466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -89417*k. Let f(d) = d**2. Determine t(f(g)).\nAnswer: -89417*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, e: 4, r: 1, q: 2, i: 1}. Give prob of picking 2 e.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 4*n. Let z be 16\/120 + (1\/(-2) - 17\/(-30)). Let p = 0.14 - -0.36. Which is the fourth smallest value?  (a) n  (b) p  (c) -3\/7  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 5*g**3 + g**2 - 6*g + 5. Let q = -263 + 252. Let c(a) = 9 - 4*a - 3*a + a**2 + 9*a**3 + a**2 - 4*a. Determine q*l(t) + 6*c(t).\nAnswer: -t**3 + t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q + 1. Let f = 6 - 6. Suppose f = 6*t - 2*t + 4. Let o(x) = -x**2 + 2*x + 7. Let n(v) = t*o(v) + 6*k(v). Determine n(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 7, o: 2, h: 8, x: 3}. What is prob of picking 1 x and 1 h?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - 0 - 62\/(-124))\/(-6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -2*m + 5. Suppose 17*u = 96 - 11. What is n(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17453 times -4\nAnswer: 69812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from amahhamwqm. What is prob of sequence mma?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 305, 24, 0, -3, -1, -5 in decreasing order.\nAnswer: 305, 24, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 5*l**2 - l**3 + 6*l**2 + 2 - 4*l**2 - 2*l. What is the tens digit of k(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 39*x**2 + 2*x + 4. Let g be p(3). Let b = g - 258. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 5 + 2)*(1825*t**2 - 1826*t**2 + 17*t**3 + 1 + 0*t + t) in the form u*t + i*t**3 + a*t**2 + w and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 52 = -w + 4*m, 5*w = 4*m + 61. Suppose 5*y - 3*y + 3*b - w = 0, 2*b + 46 = 3*y. Is 3968\/y - (-2)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 682 less than 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -196 divided by -1019?\nAnswer: 196\/1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 2*z = 2*l - 2, l + 4 = -4*z. Suppose -h = -l*h - 4. Suppose h*b = -2*i + 22, -5*i = 5*b - 49 + 14. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 17 = -1. Is -103*(r\/(-2))\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10317 a factor of 1373538757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142*c + 294*c = 4*c + 21789 - 2349 for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 2*n**2. Let l(d) = d - 5. Let z be 2 - (0 + 2)\/1. Let r be (z + 6)\/(6\/4). Let b(v) = -v + 4. Let u(s) = r*l(s) + 5*b(s). What is u(a(x))?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 7, a: 1, e: 5}. Give prob of sequence eel.\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 5 + (5 + 2*sqrt(80) + -1)**2 + -4.\nAnswer: 64*sqrt(5) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -9*p**3 - p. Let f = -6 - -8. Let d = 1 - f. What are the prime factors of h(d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143 is divided by 75?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the first derivative of n**3\/2 + 21*n**2\/4 - 216*n - 4431. Find x, given that i(x) = 0.\nAnswer: -16, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2413 or 2417?\nAnswer: 2413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11 less than 65.01?\nAnswer: 65.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/21, 0, 3\/4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5329 and 488589?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 4 + 1778*z**3 - 4*z + 241*z**3.\nAnswer: 2019*z**3 - 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 208, 210, 212, 214?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*y + 79*y = 130. What are the prime factors of (-1)\/((-5984)\/(-30090) + (-2)\/y)?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((-4)\/18) + (-6)\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.3  (b) 1  (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-4) + (-4)\/(-8). Let g = -16 - -23. Suppose j = -z*j + g. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes before 3:43 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve q**4\/6 + 965*q**3\/6 + 57431*q**2\/2 - 10122987*q\/2 + 47580885 = 0 for q.\nAnswer: -537, 10, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -223\/1703 - 3\/131. Let v = -169\/330 + 2\/165. What is the biggest value in v, s, 0.3, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 13) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5186 is divided by 1720.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbbbbbjb?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*b**5 + 680*b**2*i**2 - 3*b*i**2 + b*i - 32*i**2 - 2*i wrt b?\nAnswer: -120*b**3 + 1360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/6 + 242\/6. Suppose 4*r - 2*a = 2*a + 116, 5*a = -10. Suppose 5*p - 46 = -v, 0 = 3*p - v - 7 - r. Calculate the highest common divisor of q and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2737147938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 781 a factor of 1255396582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -13*k + 3. Let x be (-3 - (-4 - -3))*1. Does 18 divide o(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -33*n**2\/2 - 19*n\/2 + 26 = 0.\nAnswer: -52\/33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -13325*i - 93270. Calculate l(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128 = -16*b + 48*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 65 and 29623958?\nAnswer: 148119790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 63054 - -4?\nAnswer: 63058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -3*u + 984, -u - 3*u + 5*p = -1303. Let z = u + -537. What are the prime factors of z\/(-27) - 2\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8.2 - 1.2. Let l = 7.07 - o. Let w = 0.37 - l. Which is the third biggest value?  (a) -2  (b) 4\/5  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + sqrt(76)*2)\/sqrt(2))\/sqrt(2).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.658985 to two dps.\nAnswer: 2.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*h = 303 + 757. Let s = h + 109. Let d be ((-7)\/(-8))\/((-2)\/(-8)). Which is greater: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 - 25*j + 25. Let x be z(24). Which is the closest to 3.8?  (a) -2  (b) -0.1  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of f**4\/4 + 10*f**3\/3 - 11*f**2\/2 + 2*f - 18. Let u be c(-11). Suppose 5*d + 2*n = 5*n - 3, u*d - n = -1. Is d less than 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2192 - -2192.7714. What is c rounded to 2 decimal places?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2\/3 + 91833*j + 275502.\nAnswer: -(j - 275502)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2764 + -4508. Let j = -14011\/8 - g. What is the common denominator of j and -121\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from {r: 6, z: 1, i: 3, x: 1, d: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/340813 and -32\/55?\nAnswer: 1704065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 8, r: 1, v: 1, u: 1, b: 1}. Give prob of sequence nv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1465.1588 + 0.1588. Let u = 1464.999998778 + g. Round u to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 890657727.\nAnswer: 3, 17, 23, 33013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.32, 14\/9, -32\/5, -2, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 2155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 381*m - 2686. Let j be k(7). Let n(d) = d**3 + 18*d**2 - 21*d - 22. Determine n(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.5  (b) 3\/55  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 5*u + 278 = 244, 0 = -p - u + 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 15*v + 42. Let o be q(-3). Sort -1, -9, o in increasing order.\nAnswer: -9, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 546397.4ml?\nAnswer: 546.3974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1280 + 1285. Which is the third biggest value?  (a) n  (b) -10  (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -22274*t - 38467201. Determine c(-1727).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 20*y**2. Let j(a) be the second derivative of -a**3\/3 + 35*a + 1. Calculate j(b(x)).\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 40 and 1372.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 - (-4)\/10*(-17 + 12). Let f(p) be the first derivative of 1 + w*p**2 + p + 0*p**3 - 1\/4*p**4. What is the first derivative of f(r) wrt r?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 12847 = -379*s + 376*s, 0 = -o + 4*s + 12805. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = c + 583, 3*a + 4*c - 966 = -2*a. What are the prime factors of a?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 110 and 440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-4\/9))**39*(t\/(t*t**(-2)*t))**18 assuming t is positive.\nAnswer: t**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = n + 15. Let g be 2268\/(-48)*(2 + 88\/(-12)). Let i = g + -253. Sort n, -3, i in descending order.\nAnswer: n, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m**3 + 2*m**2 + m. Let f be l(6). Let t = 700 - 698. Suppose -f = -4*j - t*j. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 AM and 12:13 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5*(1 + -2 - 38). Let k(a) = -2*a**3 - 16*a**2 + a + 2. Let x be k(-8). Is (4\/x)\/(5\/b) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, 5, -27\/35 in ascending order.\nAnswer: -27\/35, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1448997?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 13, 4 in descending order.\nAnswer: 13, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes after 3:42 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 6624 = -4*y, -8249 - 33 = -5*z - 3*y. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -48 - -59. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 137 - 135. Suppose y + 20 = -y + 3*g, d*y - 2*g + 16 = 0. Let k be (-4)\/(-16) - (-2)\/(-72). Which is the smallest value?  (a) k  (b) 0.4  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1211010 (base 4) in base 6?\nAnswer: -45540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*c - c**2 + 4*c**4 + 2*c + 2*c**3 + c**3 as r*c**4 + p*c**2 + n*c + u + l*c**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + -21 + 0 - -7) + (-4 - -2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5688 and 40.\nAnswer: 28440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -6*i**5\/11 - 410*i**4\/11 - 6022*i**3\/11 - 16854*i**2\/11 - 14372*i\/11 - 3136\/11 = 0.\nAnswer: -49, -16, -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -36 in -0.1, 1\/3, 28\/33, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-48 - 2055 + 357 - 1211)*(0*z - 6*z - 3*z).\nAnswer: 26613*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 2*a = 55, -4*t + a + 0*a + 77 = 0. Factor -2*k**3 + 15*k**5 + 10*k**3 - 4*k - t*k**5.\nAnswer: -4*k*(k - 1)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7.833 - -8.833. What is the nearest to x in -1\/2, 20.4, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 100074887?\nAnswer: 11, 9097717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7038 is divided by 2337?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1521078+13996\nAnswer: -1507082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(34)\/(2*sqrt(200)) - 4*5*sqrt(68)\/sqrt(4).\nAnswer: -399*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**3 - z**2 - z + 1. Let q(j) = -j**3 + j**2 - 2*j + 3. Let n(h) = h**2 - 3*h - 26. Let f be n(7). Determine f*c(r) - q(r).\nAnswer: -r**3 - 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:32 PM and 9:11 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/176 and 29\/88?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 25 - 25.2. Which is the closest to -0.02?  (a) 3  (b) -1\/2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 960 - 959. Let g = -2.65 + 2.7. Which is the nearest to k?  (a) g  (b) 0.2  (c) -0.5  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*b - 58 = -34 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + -2. Let h = -2.7 + q. Let o = 0 + h. Which is the smallest value?  (a) -0.1  (b) -2\/11  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -888 + 680?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-6*(6*(1*sqrt(3000) + sqrt(3000)) - sqrt(3000)))\/((sqrt(294) - -3*sqrt(294)*2) + sqrt(294) + (sqrt(294) - (4*-1*sqrt(294) + sqrt(294)))).\nAnswer: 330*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*r - 56 = 13*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f**4\/3 + 46*f**3\/15 - 4*f**2\/15 - 112*f\/15 = 0.\nAnswer: -4, -2, 0, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 250218431 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2110*w - 1058*w - 1020*w.\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + -7. What is the units digit of m\/9*0 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -h**2 - 3*h**2 - h**2 - 6 + 26 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 304, 984, 2142, 3790, 5940?\nAnswer: 8604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xfyeeexeuufeexh. Give prob of picking 1 e and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1500, 1\/5, 17, 10 in descending order.\nAnswer: 1500, 17, 10, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and 110.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 3*t + 8. Determine z(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3706693, 7413388, 11120081, 14826772, 18533461?\nAnswer: 22240148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2323675 - 76695166\/33. Let y = 421 + i. Let x be 3\/((-18)\/6)*1. Which is smaller: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 29455480 and 3.\nAnswer: 88366440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (3*sqrt(1700))**2 + sqrt(1700) + ((sqrt(1700) - (sqrt(1700) + (sqrt(1700) - (3 + sqrt(1700)))))*-2)**2.\nAnswer: 10*sqrt(17) + 15339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 2*h = 1, -4*u - h - 772 = -789 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 247 and 703.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 180429670 divided by -6?\nAnswer: -90214835\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*j + 5*j - j)*(0*j - 10*j + 7*j) as n*j**2 + i + b*j and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 85 = -w. Let m = -12 + w. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 6*z**4 - 2*z**3 - 2*z**2 + 3. Let o(r) = -7*r**4 + 3*r**3 + 3*r**2 - 2. Let x(c) = -3*n(c) - 2*o(c). Differentiate x(y) with respect to y.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 48 + 2*t**2 + 69 - 2*t**4 - 115 + 3*t**2 + 2*t**3 + 26*t + 3*t to the form y*t**2 + b*t + g*t**3 + k*t**4 + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21*(-20)\/840*3*6\/9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 170.91 take away 5?\nAnswer: 165.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 131.635550158 + 513.4?\nAnswer: 645.035550158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -95 + 662. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/2908 and -73\/7270?\nAnswer: 14540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/9*(-10)\/8\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/3 of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 AM and 8:45 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xu when two letters picked without replacement from uexeeeeuueuueuuue?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 293, -3, -299, -595, -891?\n\"Answer: -296*k + 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -960757 = 82*p - 101*p + 572163. What are the prime factors of p?\nAnswer: 2, 5, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11.3 + -7.7. What is l rounded to one decimal place?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 47021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6 + 113?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3, 72 in descending order.\nAnswer: 72, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -5, -4, -238.\nAnswer: -238, -5, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9 + 3. Suppose q = -0*y - 4*y, 0 = -3*o - 4*y + 36. Solve -5*p = o + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 356*n - 415 + 827 - 412 + 277*n.\nAnswer: 633*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8693778?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-2))\/((-14)\/(-1)*68\/(-952)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-12)\/10)\/((-2256)\/5640))\/(1 - -1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 31 = 4*o, -3*b - 9 = -3*o + 15. Calculate the greatest common divisor of 138 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3 - 55\/(-20) - 297\/(-324). Let r(p) be the second derivative of -s*p**3 - 12*p**2 + 33*p + 1\/3*p**4 + 0. Factor r(v).\nAnswer: 4*(v - 3)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*s + 9*s - 6 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 334 + -3337\/10. Suppose 2*x = -8, -2*s + 2*x + x = -14. Which is bigger: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 183, 378, 573, 768?\nAnswer: 963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1845289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 338354902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 divided by -6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 611 divide 2262164023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 354.519 nanograms to milligrams.\nAnswer: 0.000354519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**2 + 32*w - 18. What is the units digit of z(27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**2\/5 - 6126*b\/5 + 9752229\/5.\nAnswer: -3*(b - 1051)*(b + 3093)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/55 and 94\/70 - (6 + 156\/(-30)).\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 55.7 + -51.7. Let s = 0.13 + -0.07. Let r = 0.14 + s. Which is the nearest to 0.4?  (a) -0.1  (b) j  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 428*v**2 - 489*v**2 + 2 - 2*v - 224*v**2 + 0 to the form w*v + k*v**2 + x and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 456422 - -3?\nAnswer: 456425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-20)\/6)\/((-4)\/(-8))*-3. Let z(u) = 12*u**2 - 5*u**3 - 6 + 2*u**3 + 2*u**3 - x*u. Let d be z(10). Let r(n) = -3*n - 9. What is r(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 169 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -2*p, -3*p + 3 - 5 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-58)\/754)\/(-2 + (-12)\/(-8)) - 632\/4446?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of 5*i**2 + i - 6*i**2 + 1 + 3. What is the first derivative of n(b) wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (5 + -5 + 16)*5\/20 and (-3)\/((-13)\/10 - -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from xixixxxsiixxiisiixi?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 47*q - 248 + 60 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-3.5113.\nAnswer: -7.0226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/2 - 6793*v\/3 + 7545\/2.\nAnswer: (v - 4527)*(3*v - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3892 + 3896. Let b(l) be the first derivative of -13 + 7\/10*l**t + 0*l + 8\/5*l**3 - 4\/5*l**2. Solve b(m) = 0.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1002222211121 (base 3) to base 7.\nAnswer: 5006125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of p**5\/10 - 2*p**4\/3 + 4*p**3\/3 - 5*p**2\/2 + 7*p. Let n(y) = 2*y - 9. Let z be n(7). List the prime factors of o(z).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from lbnzr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -3*p - 749, 160 = -0*v + v - 4*p. Let h = v - 74. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 + 28 + 8 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + -9 - (19 + -15)) + -59 + -3 + 6.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15*130.9172.\nAnswer: 1963.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -335469, -335454, -335439?\n\"Answer: 15*n - 335484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 37323307*i + 20024193?\nAnswer: 37323307","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/4 - (2301\/(-6))\/1. Let v = 1135\/3 - p. What is the nearest to -1 in -0.4, 4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 159*s**3\/2 - 2545*s**2\/2 - 10486*s + 66.\nAnswer: (s - 22)*(s + 6)*(159*s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4347e + 3?\nAnswer: 43481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a = 9*a - s - 9, -2*a - 3*s = 5. Suppose 0 = a*f - 18 - 614. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 493.298 - 493.378. Let u = -1 - 0. What is the third biggest value in p, -5, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 979923599 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3698604173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 250*1696435.\nAnswer: 424108750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - 0.6385?\nAnswer: -6.6385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 150929, 604274, 1359841, 2417624, 3777617, 5439814, 7404209, 9670796?\n\"Answer: -c**3 + 151117*c**2 + c - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -12, -3, 3, -5, -7209, 5 in descending order.\nAnswer: 5, 4, 3, -3, -5, -12, -7209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 + -1. Let h(p) be the third derivative of -p**4\/12 - 5*p**3\/6 + 15*p**2. Calculate h(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4486.57 to the nearest one hundred.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 649964344?\nAnswer: 2, 81245543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hbhbhbbhbbbbbbhbbh. Give prob of sequence bhbh.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 11213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 205 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 7723  (b) 0.3  (c) 3285\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -y + r, -r + 2*r + 13 = 4*y. Let v be 0*(6\/(-3))\/10. Suppose v = 5*x + 5*j + 43 - 178, -5*x + 133 = y*j. Solve 0 = 7*m - 2*m + x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 51073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**5\/13 + 20*s**4\/13 - 786*s**3\/13 + 5660*s**2\/13 - 15088*s\/13 + 13440\/13 = 0 for s.\nAnswer: -28, 2, 3, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -138, -1160, -3942, -9366, -18314, -31668?\nAnswer: -50310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-2)*132422\/4535\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 - 2 - (-6)\/(-8). Let v = -1\/2 - -2. Let x = 7 + -5. What is the closest to x in v, -0.4, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 21*n**2 - 4*n - 3. Let p be c(-1). Let i = p + -24. Let l(k) = -10*k - 2. Calculate l(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 - 33*x**2 - 245*x + 8686. Determine m(32).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 2:40 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 18\/4*8\/4. Suppose -n - 4*x = 10, -n + 3 = 3*x + f. Suppose -5*a + 7 = -23. Calculate the highest common factor of a and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 229.2 + -229. Suppose -6 = -q - 3*a, 2*q + a + 3*a = 4. Let v be -4 + 0 + q\/(-3). What is the closest to -6 in v, m, -2\/19?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*l**5 + 7*l - 17*l - 5*l**5 + 12*l wrt l?\nAnswer: -160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 582 and 30?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -22*b + 2. Let w(s) = -9*s + 1. Let k be (-10)\/(-3)*(1 + (-102)\/30). Let h = -20 - k. Let i be (-1 - -4)\/((-12)\/(-20)). Determine h*w(r) + i*p(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14 - -17. Suppose 4*l - 56 = 4*u, -2*u - v*u - 5 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 - 12. Suppose -2*n = s*n - 60. Calculate the smallest common multiple of -15 + 848\/56 + 627\/21 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 464 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + 2.1. Let l = v + -0.1. Let b = 4.6 + 0.4. What is the nearest to -0.1 in -2, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -455.36134 rounded to the nearest integer?\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5\/1*3\/(-5). Let c be j\/18*-3*24. Suppose -u - c = -3*u. What is the greatest common divisor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4855097?\nAnswer: 13, 41, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (6 - (4 - 3)) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - -1 - (-7 - -12). Is 60\/(6 + j) - 2 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 2*o + 4. Let w(b) = -2*b - 5. Suppose 3*t = -m - t + 25, -5*t + 20 = -m. Determine m*w(q) + 6*n(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1795193 is divided by 1700?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -28 + 25*r**2 - 132 - 118*r + 30*r - 547*r - 5*r**2 = 0.\nAnswer: -1\/4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**3 - 34780*u**2 - 1816672*u - 23651888.\nAnswer: 4*(u - 8747)*(u + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/n**(-2)*n**(7\/5))**4 assuming n is positive.\nAnswer: n**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 5*d - 3. What is z(-4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-5)\/((((q\/(q*(q**36\/q)\/q*q))\/q*q)\/q)\/q)*(q\/q**(-32)*q)\/q**14 assuming q is positive.\nAnswer: q**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -512*g + 4 + 4 - 8 - 5593*g**3 + 514*g to the form h*g**2 + w + r*g**3 + b*g and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2087 + 5166. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/6)\/(-3 + (-45)\/54).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10043610259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -61 + 20 - (-9 - 1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34786706.\nAnswer: 2, 193, 90121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 97*l + 35*l - 387*l - 9435 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21 (base 7) to base 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37117 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 3*w - 690 = 0, -19 = -3*w - 4. Let n = f - -516. Suppose 4*o - 71 = n. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(2\/7)*r\/(r\/(r*r**(-1\/5)\/r))*r**(-4)\/r*r\/((r\/(r**(-1\/9)\/r*r)*r)\/r) assuming r is positive.\nAnswer: r**(-1583\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 1:12 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*k - 2*k + 2*k**5 + (k**2 + 3*k**2 - 3*k**2)*(11*k**3 + 8*k**3 - 3*k**3).\nAnswer: 18*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 120 is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - h, 1 = -t - 4*h - 16. Let j(u) = 32*u + 4. Let s be j(t). Let v be (s\/5)\/(-1) + (-4)\/(-10). What is the highest common factor of 8 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-2)\/(q\/(q*((q**(-3\/5)*q*q*q)\/q)\/q))*q**6\/q**(-1\/3)*q\/q**2*q**4*q*q*q**(-3)*(q\/q**(-3\/4))\/q assuming q is positive.\nAnswer: q**(449\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14 + 25. Let r = t - 10. Let d = -0.3 + 0.2. Which is the second smallest value?  (a) 5\/2  (b) r  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i - i - 4*i)*(2*i + 0*i - i)*(i - 60 + 60)*(-14*i + 3*i**2 + 14*i).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36021974.\nAnswer: 2, 1051, 17137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*5.1.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -0*v + v - 11, v = 3*b + 7. Let y(u) = u - 4. Let t be y(v). Suppose 2*x = -x + t. Solve 4*c + 12 = -d, 0*d = -5*d + x*c + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 4*d - 22 = 0, -3*x + 11 = 2*d + 3*d. Let h = 7 - x. Find the third derivative of 5*q**4 + h*q**2 + q**4 - 3*q**2 + q**2 wrt q.\nAnswer: 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 2*l**3 + 25*l**2 - l + 2. Let s(g) = g**3 + 13*g**2 - g + 1. Let p(r) = -11*s(r) + 6*t(r). Determine p(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the first derivative of 3*s**2\/2 + s + 2. Let f be l(1). Suppose w - x + 2 = 0, w + f*x + 5 = 2*x. Which is smaller: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 - 2*k**2 + 3*k. Let s be h(-3). Suppose s = -5*j + 142 + 68. Calculate the highest common divisor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.9 - -2. Let z be (-9*5\/(-570))\/((-3)\/4). Sort 1\/8, z, q in increasing order.\nAnswer: z, q, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -y + 5. Solve -2*s + 5 - y = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes before 10:31 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-4)*16\/44\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -174810 times 1.2\nAnswer: -209772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - (-38)\/(-10))\/((-8)\/100)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ieehuihiuulhtht. What is prob of picking 1 e, 1 i, 1 u, and 1 l?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -8a + -5?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*k + 15*k + 4*g = -15, -3*g = 0. Calculate the lowest common multiple of k and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 5*a + 3*n, a - 27 + 21 = -2*n. Let w be a + -11 + (-3)\/(1 + -2). Solve 4*d + 2 = -s, d - w*d - 10 = 5*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -3*s**3 - 2*s**2 + 4*s - 5. Let w = -151 - -147. Is l(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3530, -3265, -2780, -2075?\nAnswer: -1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-27)\/(-9)*2\/(-18).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 319 + -174. What are the prime factors of c?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:00 PM and 7:11 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 45363036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1910*i**3 - 2*i**2 + 83*i + 3 wrt i.\nAnswer: -11460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - -365?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -18276138*f. Let v(t) = -6*t**2. Calculate v(s(c)).\nAnswer: -2004103321170264*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 774 a factor of 103550456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3976680.\nAnswer: 2, 3, 5, 31, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1804044267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 407 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21787*b**3 - 10978*b**3 - 10800*b**3.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange f**2 - 6*f**2 + 50*f**2 + 2*f**2 to n*f**2 + q*f + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5085.29686 rounded to the nearest 100?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -883\/2 - -451. What is the closest to -1 in -1\/4, -4, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -164, -408, -794, -1310, -1944, -2684, -3518?\nAnswer: -4434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 19\/5  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 21 = 46. Let f = j + 15. Let g = 7 + -15. Which is bigger: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/2*1038\/9. Let y = m - -517\/3. Let j = -4.43 + 0.43. Sort j, -1\/5, y, 0 in ascending order.\nAnswer: j, y, -1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 402, 1585, 3552, 6297, 9814, 14097?\nAnswer: 19140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 46396662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1205490 and 241098.\nAnswer: 1205490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*i + 0*i - i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (700\/450)\/(6\/108).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -2075136.\nAnswer: 10375680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/(-6))\/((-2)\/(-21)). Suppose 0 = -p*z + 4*z + 3. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {d: 2, h: 7, t: 1, a: 7}.\nAnswer: 49\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -3, -47, 1141 in ascending order.\nAnswer: -47, -3, 0, 1141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94 = -5*c - 0*c - 3*w, -8*c - 55 = 3*w + 93 - 48 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 60565300 to the nearest 100000.\nAnswer: 60600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (272\/(-102))\/(4\/(-12))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 3*c + 4 = -3*u, -60 = 4*u - c. Let t be 4*(-4)\/u - 5. Let h(k) = -k + 3. Give h(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 114*c - 2023. Let v be h(19). Is v at least as big as 153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12740, -12741, -12742?\nAnswer: -12743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 16) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 105754507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 243*i. Let o(z) = -3*z**2 + 2*z**2 + 0*z**2 + 5*z**2 - 6*z**2. Give c(o(d)).\nAnswer: -486*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:45 PM and 5:00 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 5*s + 725 = 4*p, -4*s - 1855 = -5*p. What is the highest common factor of 45 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -3*j + 4. Let p be y(2). Is p + (-4 - -2) + 471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5994)\/(-4860))\/((-3)\/30)\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 731 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1341 = -2*q + 5501. Suppose 6*n = n + q. Let p(c) = -c**2 - 14*c + 28. Let i be p(-12). Calculate the highest common factor of n and i.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 202696424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-511)\/24017)\/((-18)\/49914)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s - 2. Let v(g) = -2*g + 6. Let p(m) = -7*d(m) - 3*v(m). Let h(f) = f + 4. Determine 4*h(y) + 3*p(y).\nAnswer: y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4 + -2 + 0)\/((-6)\/(-12)). Solve 3 = b*q - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 410.393 and 0.2.\nAnswer: 82.0786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((u\/u**(-5\/4))\/u)**22)**(-9\/13))**(8\/7) assuming u is positive.\nAnswer: u**(-1980\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 48940448.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - 2 + 6. Let p(u) be the second derivative of u**5\/20 - 11*u**4\/12 + u**3\/3 - 5*u**2 + 2*u. Let x be p(11). Solve -l + x = -m*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 3 l when four letters picked without replacement from wclwlssnlwx.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-837)\/12*5372\/(-24174)\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -36.37637 rounded to two decimal places?\nAnswer: -36.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 - 7. Sort -4, 3, v in descending order.\nAnswer: 3, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*g + 194 - 115 = -317 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, e: 2, h: 2, b: 1, q: 2, v: 3}. What is prob of picking 1 v, 1 q, and 2 u?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (144*q**2 - 37*q**2 + 177*q**2)*(-19*q - 108 + 108).\nAnswer: -5396*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/8  (b) -2072  (c) -0.5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 60 = 15. Suppose p + 23 = -16*b. Put b, -2, 4, -5 in ascending order.\nAnswer: -5, b, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, x: 2, d: 1, p: 1, s: 1, u: 2}. Give prob of picking 1 d and 1 s.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*p = 59*p + 3*u + 31, -2*p + 3*u - 4 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*w**3 - 170*w**3 + 19*w**3 + 19*w**3 + 48*w**3.\nAnswer: -48*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 4*z = -26. Suppose -n + z + 9 = 0. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2770 a factor of 148740690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -2 + 0*k + 3*k + 0*k + 44*k**3 - 43*k**3 - 6*k**2 - 5. Suppose s + 4*s = 30. Determine h(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1341 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 the value of (15 + (-308)\/21)*-39?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -2*o**2 - 6*o - 3. Let l be h(-4). Let s(n) = 25*n. Let q be s(1). Let v = q - 36. Is l greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 251849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 555 - 195. Suppose 0*d - 8*d + t = 0. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*x**3 - 34*x**3 + 24*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 235 and 40655.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3547911893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -4, 4\/7, -5, -0.4, -143, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*b**2 + 16*b**2 + 26*b**2.\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5940*c**3*p**2*q**2 - 3*c**3*p*q - 595*c**3 - 32*c**2*p*q**2 + 2687*p**2*q**3 - 2*p*q**3 - q**3 - 4*q wrt p?\nAnswer: 11880*c**3*q**2 + 5374*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 2 = -p, 6*i - i - 10 = 5*p. Suppose 12 = 2*m - 2*h, -5*h = 3*m - i*m + 12. Determine x so that x + 2*x - 4*x + 2*x - 2*x**2 + x**m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 AM and 8:25 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 6648, 26760, 60328, 107352, 167832?\n\"Answer: 6728*r**2 - 72*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yppppyypppyypp?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 20852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49 divided by -118518.\nAnswer: 49\/118518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 30\/7 greater than -443598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 37 = 5. What is the remainder when (-61)\/(1 + 1 + -3) is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1314541031 (base 6) to base 11\nAnswer: 8904110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(4500) + sqrt(45) - (sqrt(1620) + sqrt(1620)*3))\/((6*1*sqrt(90))\/(sqrt(20)\/(sqrt(18) - sqrt(2)))).\nAnswer: -43*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*l - 7 + 7)*(4*l - 136 + 241 - 106).\nAnswer: 24*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of b**6\/360 - 3*b**5\/40 + 7*b**4\/24 + b**3 - 2. Let f(a) be the third derivative of j(a). Is f(9) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 179559?\nAnswer: 3, 71, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -217.1654+-1\nAnswer: -218.1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 + 5*h**2 + 3*h + 1. Let i(k) = 2*k**2 + 4*k + 1. Let a be i(-5). Suppose 4*g = 13 + a. Calculate the lowest common multiple of g and w(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -o, -k - 4*o = -6*o - 810. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 535174729?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j\/(j**(-8)*j))**(-1\/20)\/((j*j*(((j*j**(-10))\/j)\/j*j*j)\/j*j)\/j*j**2\/j))**(-1\/2) assuming j is positive.\nAnswer: j**(-131\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 8*m - 26. Let r(j) = j**2 + 119*j - 2307. Let p be r(17). What is t(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/2*-4*1\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(1\/3)*(t\/(t\/(t**1*t))*t)\/t)**(-38))**(-3\/2) assuming t is positive.\nAnswer: t**133","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1938699997 = 5*d - y, 1097898860 = 5*d + y - 840801143. What is d rounded to the nearest 1000000?\nAnswer: 388000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 179, 722, 1627, 2894?\n\"Answer: 181*i**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -8*p**4 + 3179*p**3 - 2*p - 390893 wrt p?\nAnswer: -32*p**3 + 9537*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t - 10 = 4*t. What is the fourth biggest value in 2\/13, t, -2\/13, -3\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, k: 16, l: 1}. Give prob of picking 1 l, 2 h, and 1 k.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3049, 12202, 27457, 48814?\n\"Answer: 3051*f**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1470223 to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5513 (base 12) to base 8.\nAnswer: 22237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 109968785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n**3 - 31*n**3 - 15*n**3 + 2*n**3 - 11*n**3 + 4*n**3.\nAnswer: -49*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2828125 by 25.\nAnswer: -113125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 33039, 131695, 295975, 525879, 821407, 1182559, 1609335?\nAnswer: 2101735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + (-73)\/(657\/(-432)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68861?\nAnswer: 13, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-3\/7)*y*y*y**(2\/21)*y*((y**16\/y*y)\/y*y)**12)**25 assuming y is positive.\nAnswer: y**(14675\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*f + 5*h, -3 = 3*f + 5*h - 11. Sort 49, f, 5.\nAnswer: f, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-10)\/(20\/(-34))*(1 - -1). Which is smaller: w or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -49 + 44. Calculate the common denominator of 73\/30 and (2\/(-45))\/(a\/25).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of k**4\/8 - k**3 - 48*k**2. Let i(l) = 4*l**3 + l. Let w be i(1). Let z be y(w). Solve 3*u = -3 - z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4528 and 305074?\nAnswer: 2440592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y. Let h be (3 + -6)*6\/(-9). Let c(o) = 10*o**2 + 25*o**2 + 2 - h. Calculate c(w(q)).\nAnswer: 35*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -3015 (base 7) to base 5\nAnswer: -13131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) -45  (c) 4.5  (d) 0.8  (e) 4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/34*1)\/(12\/(-8)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - o = -3, 1 = -7*t + 6*t + o. Suppose c + 6 = -0. Let f = -4 - c. What is the highest common factor of t and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4bcb (base 15) in base 8?\nAnswer: -37446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + 3. Let f = g + -1. Suppose 3 - 9 = -3*l. Solve -c = -l*c + f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 104498.7 * 35\nAnswer: 3657454.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 14*p. Let b(k) be the second derivative of 41*k**4\/4 + 14*k - 18. Calculate b(a(t)).\nAnswer: 24108*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 17849870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ceecrcrrrcc. What is prob of picking 1 r and 1 c?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 250643417?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6*((-2)\/21)\/((-77)\/539)*-6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 392804336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -39\/112 and 25\/7364?\nAnswer: 29456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 490821.\nAnswer: 3, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 - 11043.\nAnswer: -11043.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11.39 - 0.91. Which is bigger: -2\/3 or m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58484016 divided by 50244.\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200301 (base 5) to base 2.\nAnswer: 1100010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 239703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 7:35 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4.44 + -5.1. Let c = -0.08 - u. What is c rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.056 times -0.05?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 2*u - 131 = 13, -4*u = -5*l - 132 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence goon when four letters picked without replacement from {n: 4, o: 5, g: 2}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -7*a**3 + 2*a**2 + 2*a. Let f(d) = -1003*d**2 - 15*d**3 + 2013*d**2 + 5*d - 1005*d**2. Give -2*f(t) + 5*u(t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 78 and 2613?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 259717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 16525601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*n**3 + 12*n**3 - n + n.\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 85\/5971344 and -69\/50?\nAnswer: 149283600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -22193 >= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhvvhphp. What is prob of picking 1 v and 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(-3\/13))\/(d**(-3)*d)*(d\/((d*d**(-1\/3))\/d))**(3\/37) assuming d is positive.\nAnswer: d**(1606\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 - 22 - (1 + (0 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 727742 is divided by 181934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.08 and -4.15.\nAnswer: 0.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, -49, -0.3, -4 in increasing order.\nAnswer: -49, -4, -0.3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 7*b**3 - 292*b**2 - 87*b + 131. Let u be p(42). Solve -4*d + 14 = -3*q, 306*d + u*q = 305*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 - 1561\/315 - (-6)\/(-10)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7835 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: (59 + -52)*(6\/3)\/(-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + -0.4. Let j = 0.052 + 0.048. Let g = s - j. Round g to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 2*t = 0, 1 + 8 = 3*j + 3*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -5*r**3 - 17*r**2 + 18*r - 10. Let p(d) = -2*d**3 - d**2. Let i(f) = 2*p(f) - t(f). List the prime factors of i(-12).\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + 2*(sqrt(304) + 0) + 5 + (sqrt(304)*-2 - sqrt(304)) + sqrt(304) + sqrt(304) + sqrt(304))*3)**2.\nAnswer: 576*sqrt(19) + 11088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/439 in 1, -0.5, -0.076, -6?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*b**4*n - 4*b**4 - 700*b**3*n + 8*b**3 - 10*b**2 - 2*b*n + 86861*b wrt b.\nAnswer: 72*b*n - 96*b - 4200*n + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*n - 204 = -60. Suppose 304 = n*r - 44. Calculate the remainder when r is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the second derivative of -f**5\/20 - f**3\/6 + f**2 + f. Let i be z(0). What is the second derivative of -i*a**4 - 4*a + a + 4*a wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 264438799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 896295?\nAnswer: 3, 5, 59753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 10 = 2*j. Suppose -4*w = -j - 6. Let s = -3 - -3. Solve -4*a = -w, s*u + 2*u = 2*a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13653*n + 1754 + 11110 = 13557*n for n.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(152) + 3*(sqrt(152) - sqrt(152)*2) + sqrt(152) + (sqrt(152)*1 + sqrt(152))*-1)\/((6*2*sqrt(800) + sqrt(800))*-2) + -1.\nAnswer: -1 + 3*sqrt(19)\/260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 13828627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8079*i - 8075*i - 33 = d, -5*i = -3*d - 78 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p\/(p*p*p**(-6)*p)))**(-8\/17)*(p**(2\/11)*p)**(-2\/17))**(-9) assuming p is positive.\nAnswer: p**(-126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/211500 and -179\/33300.\nAnswer: 7825500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d. Let i(p) be the third derivative of -p**7\/168 + 13*p**4\/12 - 28*p**2. Let v(x) be the second derivative of i(x). Determine c(v(o)).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2227 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26 and 442?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(343) + 0)*-3 - ((sqrt(343) + -2)*-3 + 5 + 1*sqrt(343)))**2.\nAnswer: 112*sqrt(7) + 407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2. Let t(c) = c**2 + 8. Let w(g) = -4*n(g) - t(g). Let x(h) be the first derivative of -15*h**2\/2 - 2. What is w(x(r))?\nAnswer: -225*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 7:57 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5255 at least as big as -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ahap when four letters picked without replacement from {h: 2, p: 2, w: 9, n: 3, a: 3}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 + 2 + (-1 - -14). Suppose -3*p - 2*p = -w. Find the third derivative of 5*q**2 - p*q**2 - 6*q**6 + 4*q**6 wrt q.\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:19 AM and 1:57 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 9, c: 3}. What is prob of picking 2 v?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2d + -4?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -267*h**4 - 49*h**2 - 3*h + 3. Let s(i) = 2*i**2 - i + 1. Let l(p) = -r(p) + 3*s(p). Find the third derivative of l(k) wrt k.\nAnswer: 6408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -112 + 120. Solve m*h = 3*h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 107205.75 seconds?\nAnswer: 1786.7625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3, m: 3, a: 2}. Give prob of picking 3 f.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(242) + -3 + sqrt(242)*-2.\nAnswer: -11*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -5*r + 11362. Let s(n) = -n**2. Calculate d(s(f)).\nAnswer: 5*f**2 + 11362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 102*m - 50*m - 46*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 41161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -4*l - 30, -l = 6*b - 11*b + 39. Let n be (b\/((-455)\/(-20)))\/(-7). Is -1 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19574558 is divided by 16933?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 752 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-1080)\/(-35))\/6)\/(606\/5656).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - w - 1. Let v(b) = -4*b**3 + b**2 - 6*b - 6. Let m = 1 - 0. Let n(r) = m*v(r) - 6*d(r). Find the third derivative of n(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1133 and 957?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*v - 6*v + 4*v)*(-75*v - 31*v - 75*v) + 5*v**2 - 2*v**2 + 0*v**2)*(2*v + 0 + 0).\nAnswer: -356*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 8*u + 6 - 6 - u**2 - 7*u + 2. Let y be l(0). Factor 4*a**y + a - 5*a**5 + 4*a**5 - 4*a**3 - 2 - 2*a**4 + 2*a**5 + 2*a**3.\nAnswer: (a - 2)*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -105500 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9438721 - 9438704 - 3*y + 18877425 + 2*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15009 is divided by 710.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 0 = 4. Suppose 0 = -2*b - 4*r + 20, 0*r - 4 = -t*r. Calculate the remainder when 23 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 34  (b) 3\/2  (c) -0.3  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -88.99921 - -89. Round j to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 221807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*z = -5*m + 77*z + 15, 5*z = -2*m + 20. Suppose 0 = m*w + 2*x - 129, -w + 18*x = 22*x - 33. Calculate the remainder when 549 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*g**2 + 2*g**2 - g**3 + 17*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*w**2 + 11*w**2 + 2*w**2 - 20*w**2 - 45*w**2 + 105*w**2.\nAnswer: 43*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o + 4*o + 3*o + 1. Let v(g) = -g**3 + 6*g**2 - 1. Let j be v(6). Let f be (4\/8)\/(j\/2). Determine p(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -n - d, -208 + 204 = -4*d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z**2 - 7*z - 1. Let o be q(-5). Let x be ((-66)\/4)\/(3\/o). Calculate the highest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 171.30288ns in minutes?\nAnswer: 0.000000002855048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 2:24 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-t - t + t)*(-18717 + 1947 - 12870 - 1186 + 60 - 5430) as u + o*t and give o.\nAnswer: 36196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2*c**2 + 2*c + 54. Give m(0).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 6*l + r - 42 = 0, 4*l = -4*r + 88. Let h be -724*(55\/l - -1). Is h\/(-9) + 16\/(-24) 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 {w: 9, r: 1, m: 1, n: 3, g: 4}. Give prob of picking 1 m and 1 n.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -5*m**3 + 3195*m**2 - 98640*m - 25531200 = 0.\nAnswer: -72, 120, 591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -2*g**2 - 3. Let z(v) be the third derivative of v**6\/120 + v**5\/12 + 7*v**3\/6 + 5*v**2 + 1. Calculate -5*j(l) - 2*z(l).\nAnswer: -2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/j**(-2\/15)*j**(2\/33)\/j*(j*j\/(j*j**(-3)))\/j*j**7 assuming j is positive.\nAnswer: j**(1682\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -445*j**3 + 103*j**2 - 33*j**3 - 104*j**2 + 3 + 3*j. Is u(-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 4:11 PM and 9:13 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -475*a = -511*a + 504 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 16080389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 201 - 193 = 0. Solve -m + 5 = -t*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 275442645?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1110010010100011 (base 2) to base 16\nAnswer: e4a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27047, 6, 2, 1 in ascending order.\nAnswer: 1, 2, 6, 27047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 4*o**3 - o**2 + 8*o - 5. Let s(w) = 7*w**3 - 3*w**2 + 15*w - 10. Let c(q) = 5*h(q) - 3*s(q). Determine c(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5594409 by -9.\nAnswer: -621601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 32 = -3*q, 0*q + 3*q = -5*v - 13. Let a(s) = -8*s + 2. What is the remainder when a(v) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 21\/(-35) + (-6)\/(-10). Solve 5*o - 2*m - 20 = a, 0*o - o = 4*m + 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -132*j - 5. Let u = 123 - 113. Suppose 0 = -l - u + 6. Is i(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4 - -7) + 3 + 0. Suppose -f*d - 4 = -28. Suppose 28 = 4*u + 4*b, 5*u + 7*b = 3*b + 31. Solve u*j + 9 = -r - 0*j, 0 = -d*r - 2*j - 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -6*u**3 - u**2 + u + 1. Let q(v) = 5*v + 11*v**3 + 5 - 12*v**3 - 3*v**2 - v**3 + 3. Let o be q(-3). Suppose -g = o - 19. Give z(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-474)\/(-553) - (-80)\/(-77)) + 350\/(-11)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2191529954 and 5.\nAnswer: -2191529949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((6\/8)\/(-3))\/((-3)\/(-16)). Which is the nearest to 6?  (a) -0.4  (b) q  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(3\/2)*i**(-8)*i**7\/i**(-3\/14) assuming i is positive.\nAnswer: i**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 1:00 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2680650 by 11914.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 2260 divide 2273266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 - 29 = -2*y. Let j = y - 26. Solve -4*z + z + 28 = -5*b, -3*z - 17 = j*b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -181 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34312?\nAnswer: 2, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*d + 10 = -26*d. Let f(r) be the third derivative of 1\/36*r**4 + 0*r**3 - 5*r**d - 1\/180*r**6 + 0*r**5 + 0 + 0*r. Solve f(b) = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 312533284 divided by -14?\nAnswer: -22323806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*a + 2*a - 5*a)*(1 + 3*a - 1)*(-1 + 2 + 2) as p*a + g*a**2 + h and give g.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -196.6 + 196.2. Let s be -2*(-2)\/4 + 0. What is the biggest value in -1\/3, -1, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 1 = c + 6, 3*c = 2*h - 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0109763469 to six decimal places.\nAnswer: -0.010976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11\/12 - -7\/12. What is the nearest to -1 in 2, y, -3\/7, 3\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33083644?\nAnswer: 2, 11, 751901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16 and 11551728.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 14670.87 decades in centuries?\nAnswer: 1467.087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u**(2\/37)\/u*u**(5\/9)*(u**(-8\/7))**(-22) assuming u is positive.\nAnswer: u**(60029\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 8 * 7.9\nAnswer: 63.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -6*q**2 + 6*q + 18. Let y be r(-5). Let l = -48 - y. List the prime factors of l.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t - 8. Let y be h(-8). Let g(z) = z - 1. Let d be g(1). Let n(f) = f**2 + 1. Let o be n(d). Sort y, -5, o in descending order.\nAnswer: o, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 153 and 6135.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the first derivative of 49*w**4\/4 - 112*w**3\/3 - 3051*w**2\/2 - 7290*w + 8440. Factor j(x).\nAnswer: (x - 10)*(7*x + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -271*m**4 - 1060*m**2 + 3362647*m?\nAnswer: -3252*m**2 - 2120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 4*u**3 + 1512*u**2 + 16148*u = 0.\nAnswer: -367, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 9753 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + (-11)\/(44\/(-120)). Suppose 3*k + 2*p = 3*p + m, -32 = -4*k - p. Let u = k - 1. Solve -u*q = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*k - 9 + 37 = 0. Solve 2*p + 4*u = -30, -2*u - 3*u - 35 = k*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 644 - 507. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 283.9764 weeks in hours?\nAnswer: 47708.0352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 122012201200 (base 3) in base 8?\nAnswer: 1225543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fx when two letters picked without replacement from ffffxxxffxfffx?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 495661 < 197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s**2 - 83*s**3 - 5*s**2 - 94*s**3 + 373*s**3 - s**2.\nAnswer: 196*s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10440 and 16704?\nAnswer: 83520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p + 2*p + 0*p)*(-5*p**2 + 0*p**2 + 2*p**2) - 11*p**3 + 0*p + 7*p**3 + p.\nAnswer: -10*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/515824 and 81\/43672.\nAnswer: 27338672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is a - -24fd2?\nAnswer: 24fdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) 0  (c) 1\/3  (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 3*u + 19 = 0, -x - u - 5 = 5. Let w = 16 + x. Which is the closest to 0?  (a) w  (b) 4  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 132.008 - 132. Let s = m - -0.192. Suppose -4*z - 11 = -3. What is the closest to z in -4, -2\/13, s?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16746671 is divided by 354?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2677115280?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 39 + -37. Solve 4*f - 2*q = -0*q - 26, 2*f - 2 = -k*q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18131137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 71*z**3 + 73*z**2 + 55946*z.\nAnswer: 426*z + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-162)\/297*-33 - 25\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -58 + 68. Solve -4*u = 2*v + n, v + 9 = -4*u - 0*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 263492393.\nAnswer: 23, 11456191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2276681 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 272672*d**3 + 331367?\nAnswer: 818016*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 40803 + -26723. Suppose x - 76920 = m. Round x to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7146*y**2*z**3 + 13*y**2*z**2 + 2*y**2 + 56*y + 4*z**2 + 1 wrt z?\nAnswer: -42876*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22 by 5423.\nAnswer: -2\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z**2\/3 + 55*z\/3 - 40 = 0. Calculate z.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3016 and 1038258?\nAnswer: 4153032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 32*a**4 - a**3 - 14*a**2 + a. Let x(w) = -w**4 + w**3 + w**2 - w. Let p(i) = -b(i) - x(i). What is the third derivative of p(q) wrt q?\nAnswer: -744*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*k + k + 2154. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2*s**2. Let l(x) = -2*x**2. Let y(p) = -2*l(p) + 3*v(p). Let b(w) = -24*w**2. Give y(b(t)).\nAnswer: -1152*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 88*v**2 - 2*v + 43. What is d(-4)?\nAnswer: 1459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 4*o = 1299, -262 = 3*h - 4*h + 3*o. Suppose -34*d + h = -32*d + k, 2*k = d - 127. What is the highest common factor of 43 and d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29*-0.12.\nAnswer: -3.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b - 6. Let n be 1*3\/9*21. Let t be z(n). Let k be (-1)\/(-6)*(t + 1). What is the second biggest value in -4, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27313 divided by -2101\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1023341579 rounded to four dps?\nAnswer: 0.1023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 5*f**2 - 9308*f - 27911. Let q = 26 + -36. What is the remainder when a(-3) is divided by (1*-2 + q)*-1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3  (b) 1  (c) 3  (d) 1907  (e) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 272328 and 90776.\nAnswer: 272328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 63718 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -11*m**3*r - 2547*m**3 - 6*r wrt r?\nAnswer: -11*m**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 354 + 309 - 102 + 31 - t to the form z*t + p and give p.\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -2*t**3 - 8*t**2 - 2*t. Let o(q) = 6*q**3 + 23*q**2 + 7*q. What is 7*g(v) + 2*o(v)?\nAnswer: -2*v**3 - 10*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 + 6. Is z(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2\/9 + 162548*i\/9 + 3302731538\/9.\nAnswer: 2*(i + 40637)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -158 - -345. List the prime factors of s.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -36 less than or equal to -209\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 750616.9 centimeters in millimeters?\nAnswer: 7506169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 134*a**4*f - 1498*a**2 - 2*a*f**3 - 4833166*f**3 with respect to a.\nAnswer: 536*a**3*f - 2996*a - 2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -45 + 0 - (984 + -1043)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -2*s. Let g(p) be the third derivative of p**4\/12 - 13*p**2. Give g(y(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 12 = 4. Let b be 1\/(-2)*u + 210. Suppose 3*h - 89 = -l, 2*h + b = 4*l - 172. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 22, -1\/37 in decreasing order.\nAnswer: 22, 0.5, -1\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -g**4 + 4*g**3 - 245*g**2 + 37*g - 303153192 with respect to g.\nAnswer: -4*g**3 + 12*g**2 - 490*g + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43243824 divided by 39.\nAnswer: -1108816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 10\/37 at least 30207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30 - (47 - (-8 + 37)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -3*d**3 + 4*d**2 - 2*d - 1. Let s be a(3). Let i be s\/20 + 6\/10. Let r = 22 + i. 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: -2ad70 (base 15) to base 9\nAnswer: -230306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/34580 and -85\/102676.\nAnswer: 6673940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*u**3 - 65*u + 65*u)*(-2*u + u + 2*u) + 19*u**3 - 19*u**3 + 21*u**4.\nAnswer: 15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/55 - 1\/66. Let x = y + -5\/12. Which is the biggest value?  (a) 7  (b) 0  (c) x  (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes before 9:36 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -85\/1258446 and -97\/40.\nAnswer: 25168920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 - 21*v**2 - 21*v - 11. Determine d(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.3  (b) 41  (c) -0.086  (d) -4.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2200537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1476 + 183 = 237*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 4, n: 2, m: 2, v: 8}. What is prob of sequence nmnv?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 199980 and 39596040?\nAnswer: 39596040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 2*a + 321949, 2*a + 308176 = l - 13769. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 4*m + 2. Let g be a(6). Let u be (-4)\/(-46) - ((-1076344)\/3818 + 4\/(-1)). Calculate the greatest common divisor of g and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0645 take away -16596219?\nAnswer: 16596218.9355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 17\/4 of a microsecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 112011 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 308, 624, 938, 1250, 1560, 1868, 2174?\nAnswer: 2478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 208742.\nAnswer: 2, 29, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -29*h + 24*h + 10. Solve -3*g - 5*m - 26 = 0, -m = h*g - 0*m + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, 9, 1339152, 4 in descending order.\nAnswer: 1339152, 9, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*(t*t**(-2)*t)\/t*t**(6\/13))\/(t**(-14\/9)\/(t**(1\/5)\/t)) assuming t is positive.\nAnswer: t**(712\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/3*45\/5*27\/12636*-18.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 19\/7 + 2\/7. Let m be 1\/(0 - 4\/(-8)). Which is bigger: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 - -5)*(-22)\/(-44). Suppose -d + 182 = 4*w, 0 = -z*d + 7*w - 3*w + 328. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 6:58 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12196960 (base 10) to base 15.\nAnswer: 110ddaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i = -5*w + 35, -3*w + 7*i + 13 = 6*i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h - 158 = -5*h. Let o = h + 52. Round o to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -112 - -144. Suppose 444 = 2*v - 3*s, 3*s = -3*v + 4*s + 666. Calculate the remainder when v is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 664ea (base 16) to base 10\nAnswer: 419050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-140)\/90)\/(16\/(-36)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 25*d - 8684. Let q = 347 - d. Calculate the remainder when 128 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**4 - 3*b**4 - b**4 + (-b**2 - b**2 + 3*b**2)*(2*b + b**2 - 2*b) + (4 - b - 4)*(4*b**3 + b**3 - 4*b**3).\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*b - 22*b + 54*b - 151*b**2 - 68*b**2.\nAnswer: -219*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 31777 or -0.063?\nAnswer: 31777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = j - 184. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 878 and 120832994.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add -1855058763 and -0.02798.\nAnswer: -1855058763.02798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -454 (base 12) in base 11?\nAnswer: -532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:14 PM and 4:26 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 43774, 175057, 393840, 700123, 1093906, 1575189?\n\"Answer: 43750*b**2 + 33*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -196.77 to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**2 - 14*p - 17. Give r(14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of w**8\/6720 + w**7\/2016 - w**6\/1440 - 47*w**5\/60 + 45*w**2. Let h(y) be the third derivative of o(y). Solve h(f) = 0 for f.\nAnswer: -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 2*d**2 - 2*d - 3. Let i be n(6). Suppose -7*t + 4*t + 111 = 0. Let r = i - t. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1303*b = 172*b + 4524 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 147*b**5\/2 + 1512*b**4 + 8196*b**3 + 4320*b**2 + 600*b = 0.\nAnswer: -10, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0  (b) -1\/2  (c) 0.3  (d) -1\/5  (e) -189  (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 64623211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum 103.9 and -9.\nAnswer: 94.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 - 15 = -5*k. What is the remainder when 36\/(-24) - 206\/(-4) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 77, 77, 55, -1, -103, -263, -493, -805?\n\"Answer: -2*r**3 + r**2 + 11*r + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 418718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(99) + -1.\nAnswer: -3*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuy when three letters picked without replacement from {y: 2, u: 2, i: 10}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p + 0*p + 2*p)*(-1 + 0 + 2).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1356812 divided by -4?\nAnswer: 339203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13804 = 1101*l - 625*l for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1254.471406 + 0.008594. Let j = u - 1283. Let s = -28 - j. What is s rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 PM and 12:16 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 1\/14, -4, -546, 0.5 in increasing order.\nAnswer: -546, -4, -0.5, 1\/14, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 6*j**2 + j**2 + 9 + 105*j**3 + j**2 + 2*j**2 + 3*j - 104*j**3. Give r(-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8.004799*0.4\nAnswer: -3.2019196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (-5 + 8 - 10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 439104 (base 11) in base 15?\nAnswer: dc721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 AM and 10:18 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1380376 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 508160069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 406542990 divided by -35\nAnswer: -11615514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of -1\/60*t**5 + 0*t + 0 + 0*t**4 - 6*t**2 + 0*t**3. Let l(w) = -18*w. Determine l(n(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -550*u**2 - 11*u**3 + 13*u + 2*u**4 + 550*u**2 + 3 wrt u.\nAnswer: 24*u**2 - 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**0)**(-2\/21)\/(t\/(t*t**(-1)*t)*t*t*t\/t**6))**(6\/13))**(21\/8) assuming t is positive.\nAnswer: t**(189\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -5*w - 6, 4*a + 12 = 5*w - 0*w. Let r(u) = -7*u**2 + 3*u + 12. Let c be r(a). Let v = 96 + c. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.22 - 0.08. Let t be 0 - (7\/(-4) + 2). Let u = -1\/4 + t. What is the closest to 2\/5 in v, u, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 8*x + 113. Calculate i(-10).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 21886 and 124?\nAnswer: 43772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l + 9. What is the tens digit of c(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-1)\/z*z**(-2\/3)\/z)**(2\/59) assuming z is positive.\nAnswer: z**(-22\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93600757?\nAnswer: 149, 628193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8587*x**2 + 25767*x**2 - 8585*x**2 - 8591*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**2 - 21*v + 180. What is the smallest common multiple of t(-26) and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1635 and 7739.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -d. Let a = d - -3. Let m(w) = w + 2. Calculate the remainder when a is divided by m(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 8, 17, 28, 41?\n\"Answer: u**2 + 6*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1704505 (base 8) in base 11?\nAnswer: 308084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 50385 by 3359.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**2 - o + 3. Let m be i(-3). Let k be (m\/(-2))\/(12\/16). Suppose -95 = -5*y - 15. Solve 2*u = 7*f - 2*f + 25, -k*f = -2*u + y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 - 6. Let q = 0.6 - 2.6. Let i = q + v. Is -1\/3 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - -2. What is the derivative of g**2 - g**2 - k*g**2 - 3*g**2 + 3 wrt g?\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t + 3. Let i(p) = 3*p + 20. Let b be i(-5). Let w(y) = -y**3 + 4*y**2 + 6*y - 5. Let u be w(b). Determine h(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 plus 107338.7?\nAnswer: 107338.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-561)\/136*1328\/166?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/460 and 29\/28.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9218803 is divided by 7048.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5 - -5 - (-1 + -3). Suppose p = 4*v - 0. What is the highest common divisor of v and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18580562 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 + -7. What is the remainder when ((-12)\/n)\/((-10)\/175) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23 times -4\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:10 PM and 7:02 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, q: 11, o: 4}. Give prob of picking 1 q and 1 o.\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/63666 and -18\/655.\nAnswer: 318330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*f - 10816 + 10366 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0242594613 - 49764?\nAnswer: -49764.0242594613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 388508095.\nAnswer: 5, 71, 857, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 + 2)*(2 + 2 - 7)*(-2292 + 1151 - 320*k**2 + 1141).\nAnswer: -1920*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the second derivative of -1\/6*n**3 + 0*n**5 + 0*n**2 - 7*n + 0*n**4 + 1\/42*n**7 + 0 + 0*n**6. What is the second derivative of p(c) wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*m - 84*m + 2*w + 4 = 0, 5*m - 5*w = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -61666.\nAnswer: 3\/61666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 22*j + 3336 = 3861 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -826211, -1652405, -2478577, -3304727, -4130855, -4956961?\n\"Answer: 11*p**2 - 826227*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1072783 + 2*i - 1072783.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 20063639755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 20*i**3 - 143*i**2 + 268*i - 1815. Calculate f(7).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 2 = 0, 2*j + 20 = 4*j - 3*k. Let b(s) = 4*s - 8. Let x be b(j). Solve 0 = d + 4*d + x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 2 + sqrt(450) + 2*sqrt(450) + 4)**2 + -4.\nAnswer: 180*sqrt(2) + 4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of -2\/3*s**3 - 16 + 0*s**2 - 14*s + 1\/6*s**4. Let y(h) be the first derivative of i(h). Solve y(v) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 191920 and 10.\nAnswer: 191920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33, -93, -189, -315, -465, -633, -813, -999?\nAnswer: -1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**3 - 26*a**2 - 615*a - 4. Let h be i(41). Put h, 2, 100, 4, -8 in descending order.\nAnswer: 100, 4, 2, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes before 5:08 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32, -25, -16, -5, 8, 23, 40?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 101535, 101520, 101495, 101460, 101415, 101360, 101295?\nAnswer: 101220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8194?\nAnswer: 2, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3656*y - 176*y - 18325*y + 3432*y to g + t*y and give t.\nAnswer: -11413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, 0, -1\/23, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 65 and 161135?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m. Let q(v) = -v + 12. Let x(p) = q(p) - 3*s(p). Let w be x(-4). Solve -2*u + u + w = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -109 - 273. What is the units digit of (-7)\/35 - j\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 18*t**2 - 8*t + 23. Let o be b(4). Let h = -275 + o. Solve 5*c + x - 3 = 0, -4*x + 1 = h*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m\/(m*m**3))\/m**6)\/(m**(-1))**21)\/((m\/m**(1\/3))**(-20)\/(m**0)**(-50)) assuming m is positive.\nAnswer: m**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/77, 70.465, -16?\nAnswer: 70.465","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -643*x - 175*x - 87 + 85 + 238*x.\nAnswer: -580*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (258\/(-387))\/(2\/(-21)*1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 7\/2  (b) -14  (c) 0.4  (d) 5  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -141192 + 141192 - 21702*u.\nAnswer: -21702*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 11\/(-44) - 274\/(-8). Let f be (4\/(-5))\/(2\/(-5)). Is (z\/6)\/(f\/18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -18, -71, -160, -285, -446, -643, -876?\n\"Answer: -18*f**2 + f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 0 + 1 + sqrt(1100) + sqrt(1100) + (6*(-1 + 0 + sqrt(1100)))**2.\nAnswer: -700*sqrt(11) + 39642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -189 + 199. What is the derivative of 26*z**2 + 18*z**2 - 114 + w*z**2 wrt z?\nAnswer: 108*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 22*v - 26 + 34 + 14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 583998?\nAnswer: 2, 3, 131, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4034286 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 651539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y**5 + 4840*y**4 - 19270*y**3 - 9700*y**2 + 57795*y + 43380 = 0.\nAnswer: -1, 3, 964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1329555.6 - -1329554.5098721. Let r = h + -30.9096571. Let u = r - -32. Round u to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d + 11. Determine z(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5\/29 in -1, -0.3, -5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 32*b**2 + 5*b. Suppose -5*u - 4*y - 1 = 0, -13*u + y + 3*y - 89 = 0. Let w(x) = -351*x**2 - 54*x. Calculate u*w(i) - 54*t(i).\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -228, -0.05, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 + 3. Suppose a = -g + 4*g, d = 3*a + 2*g. Let h = a + 3. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 - (0 + -2 - 3). Let f = 20 - 16.6. Let p = f - 2.9. What is the second smallest value in p, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 (base 14) in base 10?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 6\/25 of a century?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3927369 divided by 1309123?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**7*z)\/z)\/z**(-2)*z**(-1\/14)*z**(4\/9) assuming z is positive.\nAnswer: z**(1181\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-3*(5 + sqrt(847)*1 + 1)*2)**2.\nAnswer: 4752*sqrt(7) + 31783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3396*o + 8 + 14 + 2430*o - 22 to a*o + l and give a.\nAnswer: 5826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*v + 27*v - 576 = -16*v for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(3) + 4)**2 + sqrt(12)*-3.\nAnswer: 2*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:06 PM and 6:18 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x**3 - x**3 + 3*x**3)*(240*x + 136*x + x).\nAnswer: -377*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12\/(-4)*4\/(-6). Solve -c + 2*o = -4*c + 4, 5*o = -n*c + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x - 10 = 6*x. Let y(i) = 2*i**4 + 6*i - 2. Let r(g) = -3*g**4 - 12*g + 5. Let c(m) = x*y(m) + 2*r(m). Find the second derivative of c(d) wrt d.\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 53 in -7\/628, -3\/4, -0.6, 1\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 4*o**2 - 5*o - 4. Let b be f(-4). Suppose -b = t - 207. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*w - 56188 + 57860 = 0 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*f**3 - 53*f**2 - 29*f - 13688 wrt f?\nAnswer: 6*f**2 - 106*f - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -91.5 less than 3254.8?\nAnswer: 3346.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*p**3*t**2*w**2 - 2*p**3*t*w + 25*p**2*t**2*w + 132*p*t**2*w**2 + 3*w wrt w.\nAnswer: 8*p**3*t**2 + 264*p*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-50)\/14 - 6\/14. What is the third biggest value in -5, 4, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**2 - 2*p. Let j(u) = u**2 + u. Let x(s) = 2*j(s) + l(s). Let g be x(0). Let r = -18 + 26. Solve r = -2*o - g*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 - g**2 + 3*g - 1. What is the lowest common multiple of 1 and b(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -34 + 38. Suppose 5*t = -0*r + h*r, 0 = 5*r + t. Solve -9 = -2*y + u, 5*y + u - 5 = -r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 - 4*l. Let z be g(-3). Suppose 5*b - 5 = -0, -z*b = 4*u - 651. What is the highest common factor of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m - 3*p + 3, 3 = 5*p - 2*p. Put -2, m, -3 in decreasing order.\nAnswer: m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4\/45, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -59 + 41. Let n(p) = -7*p**3 + p**2 - p + 1. Let x be n(1). What is the common denominator of z\/(-14) - 3\/x and -73\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -2*q**3 + 10*q**2 - 6*q - 38. Let m be p(7). Let u = -226 - m. Solve 0 = -11*f - 6 + u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, y: 6, m: 2, g: 1, c: 2}. What is prob of sequence bmm?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*u + 16*u - 3*l, -2*l = -8. Let s = 47 - 26. Calculate the highest common divisor of s and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -7207*b + 36029. Give n(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*((-9)\/54 - (-295)\/60)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 76, -2, 0.13 in descending order.\nAnswer: 76, 0.13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 m when three letters picked without replacement from {a: 6, w: 4, m: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (8\/(-14))\/((-2)\/7). Let c be (5\/10)\/(f\/16). What is the second derivative of -10*v**5 + 3*v**5 + c*v**5 - 3*v wrt v?\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 112882 and 2464.\nAnswer: 1806112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5.47 and -0.0668?\nAnswer: 0.365396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -158665 divided by -2441?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2198\/9 + -244. Let g = 1.8 + 0.2. Which is the second smallest value?  (a) u  (b) -4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 216983279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = -3*b + b - 2*u, 4*b + 154 = -2*u. Let r = b + 25. Let i be (r\/(-10))\/(1\/5). Solve -c - k = -3*k + i, 5*c + k = -18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 9\/(-15) - (-86)\/10. Suppose 3*o - i*o + 90 = 0. What is the remainder when o is divided by 1 + (5 - -2 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 119*n**3 - n**2 - 2*n - 2. Let r be z(-1). Let a = -68 - r. Suppose -3*y - 16 = -a. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2*t**3 + 69*t**2 + 32*t + 102. What is v(35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/(sqrt(11) + sqrt(99)) + sqrt(5) + -1.\nAnswer: -1 + 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1902105 - 1902105 + 63*d.\nAnswer: 63*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-145719)\/(-891) - (-5)\/((-110)\/12)) + -2. Which is the third smallest value?  (a) -2\/7  (b) 4  (c) -1  (d) s  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62b32 (base 16) in base 10?\nAnswer: 404274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/2, -4, 286, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 57\/(-95) + -82*113\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -62*f**3*l**4 - 5*f**3*l**2 + f**3 + 71*f**2 - 4 with respect to l.\nAnswer: -248*f**3*l**3 - 10*f**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 24931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(21\/53))\/((-136)\/14280*15).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 48*j + 215*j + 33*j - 2664 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the first derivative of -128 + 1\/12*v**3 - 1\/8*v**2 - 1\/2*v. Determine d, given that q(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = -23*p + 80 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9023174 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 163927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5 and 97281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 37 + -25. Suppose 5*f - f = -4*l + b, 0 = 3*l + 6. What is the remainder when 15 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - n + 0)*(0*n - 3*n + 2*n) - 24 + 32 - 13 - 2*n**2 + 4*n.\nAnswer: -n**2 + 4*n - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -21131 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1824 - -2?\nAnswer: 1.8176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -304 + 314. Suppose w*v - 2967 - 383 = 0. What are the prime factors of v?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -129\/290 and -1\/2900464.\nAnswer: 14502320","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -932*w**6 + w**5 + 4*w**4 + 721*w**2.\nAnswer: -111840*w**3 + 60*w**2 + 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*f + 20*f - 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the third derivative of -1\/24*d**4 + 2*d**2 + 0*d + 5\/6*d**3 + 0. Let a = 11 - 6. What is k(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 2*h - 5*h + 173, -3*n = -2*h + 90. What is the highest common divisor of 357 and h?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from {q: 1, b: 1, e: 1, w: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-eight thirds of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 9*z**2 - 1845 + 920 + 925. Let o(w) = -2*w**2. What is p(o(f))?\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33\/99*24\/((-4)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 44519346.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -426, -2\/7, 0.478, 6\/5, -1\/4 in ascending order.\nAnswer: -426, -2\/7, -1\/4, 0.478, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 22 + 2011?\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -30 + 7. Let v = 488 + -3412\/7. What is the second biggest value in v, d, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of 2*m**2 - 20*m + 410. Determine j(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.244548218 rounded to two dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.1 in -0.4, 2\/5, 8\/7, -0.5, -1\/152, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 123648 and 111?\nAnswer: 4574976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -861*g**4 + 863*g**4 - 6 - 6 + (-3*g**2 + 6*g**2 - g**2)*(-g + g + g**2).\nAnswer: 4*g**4 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 9, p: 1, i: 3, b: 1, s: 4}. Give prob of picking 2 s, 1 i, and 1 b.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, f: 1, j: 1, m: 2}. Give prob of sequence um.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 0, 10, -0.84?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(275) + 1)**2.\nAnswer: 60*sqrt(11) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 66271 times -48\nAnswer: -3181008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*a = 1532 + 4324. What is the second derivative of 36*u - 9*u**4 - 5*u**4 - a*u wrt u?\nAnswer: -168*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (a - 2 - 2*a - 2*a)*(-15*a - 73*a - 2*a) to t*a**2 + r + d*a and give t.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 - 1. Suppose 0*m + 4 = -d*m. What is the units digit of (m\/(-4))\/(6\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -6*r**2 + 5*r + 6. Let x be w(-2). Let b = x - -32. Suppose -4*h + 15 - 3 = 0, b*t = 3*h + 1631. What is t rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6 - 10) + 0 + (2 - 9) + 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15 and 27805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 623747?\nAnswer: 17, 36691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 + -13. Suppose r*x - x - 1170 = -2*i, -297 = -x + 4*i. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4062*i - 2228*i + 112*i + 878*i + 196100 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/3*((-6930)\/1)\/110?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5906 (base 13) in base 8?\nAnswer: -30340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**3 + 52*d**2 - 160*d + 283. Let r be o(-55). Solve 5*g + 5*u - 10 = 0, 0 = -9*u + r*u + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 32.2 - 32. Let h = -204\/209 - -22\/19. Sort h, -4\/11, 0, x in decreasing order.\nAnswer: x, h, 0, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t + 199 = 2854. Let q = 330 + t. Solve -q*w + 20 = -31*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 5*j**3 - 13*j**2 + 17*j - 9. Let x(t) = -2*t**3 + 6*t**2 - 8*t + 4. Determine 4*f(r) + 9*x(r).\nAnswer: 2*r**3 + 2*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 2*f - 3 + 15 = 0, 4*t - 24 = 4*f. What are the prime factors of (-12)\/(-24) + 58\/t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -7, -206, -779, -1912, -3791, -6602, -10531?\n\"Answer: -31*l**3 - l**2 + 21*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -188 + 204. Solve -18*c + x*c - 10 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07593 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1472239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 39 - 38.55. Let u = a - -15.55. Let g = u + -16.000001. What is g rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 184523*q + 1476161. Determine u(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -3*k**5 + 102*k**4 - 540*k**3 + 1032*k**2 - 672*k = 0.\nAnswer: 0, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*n + n + n)*(7 - 2 - 2 - 4 + 0 + 3 + (5 - 1 - 2)*(1 - 1 + 2))*(-757 + 379 + 374 - 10*n) to j + f*n**2 + q*n and give f.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-12)\/(-10))\/(12\/330)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 1730 = 5435. Suppose -m = -2*r - 3*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1130 - 1053. Calculate the remainder when b is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -4400 and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 10048430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(132) + -1*sqrt(132)) - sqrt(132) - sqrt(132) - (sqrt(132) + (sqrt(132) - sqrt(132)*1 - sqrt(132)) - sqrt(132))*3)\/(4*-1*sqrt(108)).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -56696 * -0.2\nAnswer: 11339.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -186, -167, -128, -75, -14, 49, 108, 157?\n\"Answer: -t**3 + 16*t**2 - 22*t - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the first derivative of -442*y**7\/7 + 160*y**3 + 653. What is the third derivative of b(d) wrt d?\nAnswer: -53040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**2 + 6*y. Let v(z) = -3 - 38*z + 41*z + 6 - z**2. Let c be v(0). Let h(b) = -8*b + 6*b + 5*b. What is c*p(a) - 6*h(a)?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 261657548 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 PM and 3:10 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h**(-6)))\/h*h**23*h*h*(h\/(h\/(h*h**(-2\/31)*h*h))*h)\/h*h**(1\/2))**31 assuming h is positive.\nAnswer: h**(2073\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 - 19*f**2 - 19*f - 28. Let y be c(20). Let l(p) = -18*p + 35. Is 21 a factor of l(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 103 = 5*c, -3*c + 5643710 = 5643641 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v + 6 = 4*s, v - 13 = -11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1878*f**2 + 8696.\nAnswer: -3756*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*w = 3*z + 11*w - 2122, -4*w - 1418 = -2*z. List the prime factors of z.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 978756434 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 4*q + 22*q + 5*q - 80 + 12*q. Calculate k(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 90361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**12)**42\/(z*z**(-16)*z*(z**(-2\/9)*z)\/z) assuming z is positive.\nAnswer: z**(4664\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 45404034 - 4?\nAnswer: 45404030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 - 122 = -2*z. Calculate the remainder when z is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:52 AM and 2:25 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:09 AM and 11:37 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-2\/9)\/b*b*b)\/(b*b**(-1\/5)))\/(b*b*(b**(-7)\/b)\/b*b**6) assuming b is positive.\nAnswer: b**(44\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*s + 13*s - 34. Let y = 31 - s. Which is the biggest value?  (a) y  (b) 0.4  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -53 + 59. Which is the third biggest value?  (a) j  (b) -2  (c) 5  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15 - 10. Let c = a - 1. Suppose 5*f - 4*d + 3*d = -17, -5*f = -2*d + 19. Sort 5, c, 0, f in increasing order.\nAnswer: f, 0, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z**2 - 91104*z + 30115854 = 0. Calculate z.\nAnswer: 333, 45219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1666 or 1.05?\nAnswer: 1666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 36163.\nAnswer: 2\/36163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7.84 and -18?\nAnswer: 141.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -822 - -7400\/9. Sort 5, 4, 2, j in descending order.\nAnswer: 5, 4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -140 + 140 - 119*n. Let s(h) = 2*h. Determine s(r(z)).\nAnswer: -238*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 9269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4148.2 take away -0.5?\nAnswer: 4148.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 649219529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 316008453 to the power of 1\/3, to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 18792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = 4*v + 2*l, 2057 = -206*v + 40*l - 37*l for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -19*n - 655. Let w be l(-35). Solve -s = -3*v - 0*s, w = -2*v + 4*s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p + 13. Suppose 4*a = -78 + 30. What are the prime factors of z(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and 26989.3674?\nAnswer: 2698.93674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.0881 and 20004.8?\nAnswer: 20004.7119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 5*j + 2181 = 8*j, -2179 = -5*x - 2*j. Let u be 4\/8 + (-31)\/(-2). Suppose u*o - x = -3. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7686 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-10 - (-2600)\/15)\/(0 + (-1)\/(-51))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18.25933621 rounded to 3 dps?\nAnswer: -18.259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001131695338 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 795*m**2 - 401*m**2 - 409*m**2. Let v(a) = 2*a - 38. Determine v(s(h)).\nAnswer: -30*h**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 8*w - 150 = 0, -5777*f - 3*w = -5777*f - 54 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 54*x**2 + 33333*x - 24102. Give c(-618).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 293.966 + -812?\nAnswer: -518.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -335 - -345. Solve 7 = 3*k - i*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1055479*k**4 + 709183*k wrt k?\nAnswer: -12665748*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*o + 2*o - 3*o + 95.\nAnswer: -3*o + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 5:19 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 4 = 0, 2*d + 2 + 2 = -2*f. Is 3\/(-9) - 1148\/f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -2*x + 9, x = -4*x + 4*y + 11. Suppose x*r = 30 + 15. Calculate the remainder when 27 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4)\/4)\/((-2)\/10). Suppose 0 = -2*t - 5*w + 83, -3*t - 2*w + 72 = -k*w. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 4*b**2 + 572*b + 5808 = 0?\nAnswer: -132, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the first derivative of 1769*j**2\/2 + 203*j + 484. Let h(m) = 26*m + 3. What is -3*a(x) + 203*h(x)?\nAnswer: -29*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2 + 11*i - 6. Let m be y(10). Suppose -5*j + 36 = g, -4*g = m*j - 2*g - 24. Calculate the smallest common multiple of j and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -6*n**5\/7 + 15*n**4 - 27*n**3\/7 - 276*n**2 + 960*n\/7 = 0.\nAnswer: -4, 0, 1\/2, 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in fourty-three thirds of a day?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -7\/44924?\nAnswer: -7\/44924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94*y - 5394 = -3890 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6586 - -6586.6. Let z = 1 + -2. What is the nearest to z in s, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 3*u**3 + 3*u - 4*u**3 + 4*u + 9 - 5*u**2. Suppose -2*v - v - 18 = 0. Let b be h(v). Solve b*s - s + 6 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 1942*g + 15824. What is the ten thousands digit of j(25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 445.67 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -28  (b) 8  (c) 12\/7  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4070*t**2 + 1221*t**2 + 1289*t**2 + 3*t**4 + 1356*t**2 - 42*t**3 - 216*t.\nAnswer: 3*t*(t - 18)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 6 = -7*x. Sort 2, 4, x in ascending order.\nAnswer: x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 8\/9, -0.4, 5, 113.15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4)\/(-21))\/((-3)\/35*10). Put -0.0625, l, 0.06 in increasing order.\nAnswer: l, -0.0625, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.143 and -1352.\nAnswer: -1352.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y - 4. Let v be h(-8). Let r(n) = n**2 - 13*n - 11. Let f(j) = -2*j**2 + 27*j + 22. Let p(c) = v*f(c) + 7*r(c). What are the prime factors of p(9)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - 4.1. Let z = -18.95 - -19. Which is the third biggest value?  (a) t  (b) -1\/4  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 142\/4 + (-2)\/(-16)*-4. Suppose -6*l - t = l. Let m(z) be the first derivative of z**2 - 3*z + 5. Determine m(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/117, 42, -1\/5, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w and 1 g when four letters picked without replacement from wwwsswlwggswsw.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -6*s - 8. Let n(a) = -5*a - 7. Let z(k) = 4*i(k) - 5*n(k). Let b = -54 + 24. Let o be ((-12)\/(-10))\/(9\/b). Determine z(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the second derivative of -56*s**2 + 0*s**4 - 69 + 0*s**3 + 13\/20*s**5 - 2*s - 1\/15*s**6. Differentiate u(a) wrt a.\nAnswer: -8*a**3 + 39*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 + -5. Which is the biggest value?  (a) -2  (b) -1  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzzczziggii. Give prob of sequence ggz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1147*s**3 - 2234*s**3 + 1152*s**3 + 19.\nAnswer: 65*s**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 33 - 30. Which is the third biggest value?  (a) j  (b) -4  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -6*f + 24. Let b(w) = w - 5. Determine -22*b(t) - 4*q(t).\nAnswer: 2*t + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/63?  (a) 3  (b) 4  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*a = -23*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2967333 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2376682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 306 a factor of 108489546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36416 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13760 divided by 160.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + -11 - (3 + -5 + 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -2*x**2\/9 - 6698*x\/9 - 170092\/3 = 0.\nAnswer: -3271, -78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (759\/(-23))\/(9\/(-3))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, -4, 103, 2.\nAnswer: -4, -1, 2, 5, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 - 4*j - 2. Let d(v) = v**3 + 20*v**2 - 3 - 4*v - 20*v**2. Let n be d(-2). Let z be w(n). Calculate the highest common factor of z and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -r, -5*r + 9*r - 11 = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3635641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3\/8 - 899*t**2\/2 - 825881*t\/2 - 15806420.\nAnswer: -(t + 40)*(t + 1778)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -410, 2, 3 in ascending order.\nAnswer: -410, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 7 - 1. What is the smallest common multiple of c and 4\/(-10) + 672\/105?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*u = 150 - 393 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -g**5\/4 - 257*g**4\/4 + 3747*g**3\/4 - 12775*g**2\/4 - 5029*g\/2 + 16260 = 0. What is g?\nAnswer: -271, -2, 3, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 632090982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -297*o**5 + 892*o**4 + 40389*o**3 + 74708*o**2 - 252*o = 0.\nAnswer: -9, -2, 0, 1\/297, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4200, -12788, -25766, -43134, -64892, -91040, -121578?\nAnswer: -156506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, 238, -1 in increasing order.\nAnswer: -3, -1, 0, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -111*i = -4002 + 5778 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2736) + 1 + 2)**2 - ((sqrt(2736) + (sqrt(2736) - (1 + sqrt(2736) + 0)))**2 - sqrt(2736)) - (5 + (sqrt(2736) + -1)**2 - (0 + sqrt(2736) + 1)).\nAnswer: -2733 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 12) to base 13\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 143 - 138. Suppose 0*x = -x + 18. Suppose 2*c - x = -10. Solve -c*j - 1 = -z*h, -3*j - 10 = j - 2*h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbrczabrrai. Give prob of picking 1 c, 1 z, and 1 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (243\/(-3321))\/(5\/15*3).\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/88)\/((-3)\/4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 642 - 15\/6*(-64)\/80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -330 = 2394*t - 2427*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 15264 and 80125824?\nAnswer: 240377472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 152020 divided by 2\nAnswer: 76010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (425 + 1)\/((-27)\/(-18)). Suppose m = 207 + n. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the second derivative of -49*s**6\/5 + 145*s**2\/2 + 108*s - 1. What is the first derivative of w(v) wrt v?\nAnswer: -1176*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 18918 and -0.353.\nAnswer: -6678.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 382872014 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -11 + -16 + 19 + 2 + -1 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -5*g + 5, -5*u = 104*g - 109*g - 30. Let n = -49 + 49.96. Let y = -0.04 - n. What is the closest to 1\/3 in u, y, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**25*v)\/((v*v*v**22)\/v))\/(v**4*v)**(1\/16))**(-17) assuming v is positive.\nAnswer: v**(-731\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - b = 0, 4*t - 2*b - 5 = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 118 = 5*r. Suppose -3*l + 0*l = j + r, 2*l + 12 = -2*j. Let y = 16 + l. Solve 4*g - 19 + 6 = t, g + y = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2 + 3*t + 2. Let q be o(-2). Let a be (-1 + q)*(-24)\/(-6). Suppose 0 = -5*j + 243 - 238. Put a, j, -1 in descending order.\nAnswer: j, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 39, -6, -3.\nAnswer: -6, -3, -0.1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*o, 2*t - 4*o + 52 = 6*t. Calculate the lowest common multiple of (15\/(-12))\/(1\/(-16)) and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3302, 6175, 9048, 11921, 14794, 17667?\nAnswer: 20540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*k**2 + 2*k**2 - 2*k**2)*(-k - 3 + 3) + (-2*k**2 + k**2 + 2*k**2)*(2*k - 3*k + 0*k))*(5 - k**2 - 5) - 2*k**5 - 265*k**3 + 265*k**3 + 2*k - 2*k**4.\nAnswer: -3*k**5 - 2*k**4 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the third derivative of -w**4\/12 + 2*w**2. Let i(y) = -y. Calculate a(i(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*g - 41738 + 761348 = -1039389. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - 4. Let x = f - 6.7. Which is the third biggest value?  (a) x  (b) 0  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -4*w**2 - 45*w - 131. Let f(p) = -p**2 - 11*p - 33. Let y(i) = 2*c(i) - 9*f(i). Let q be y(-9). What is the highest common factor of q and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**2\/4 - 1125*v\/4 - 5925.\nAnswer: 3*(v - 395)*(v + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 44678165 and 10?\nAnswer: 89356330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3\/3 + 427990*u**2\/3 - 3423824*u\/3 + 2282528.\nAnswer: -2*(u - 213987)*(u - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -10*t - 1092 - 43*t + 11*t**4 - 28*t**4 + 15*t**4 wrt t?\nAnswer: -8*t**3 - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -130222 (base 4) to base 15.\nAnswer: -824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/5*135\/9. Suppose b - c*b = 0. Let m(i) = -i + 169. Is m(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = x - 4*m, 0 = 9*x - 5*x + m + 19. Sort 25, x, 4.\nAnswer: x, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 628246058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u. Let b = 6335 - 6336. Let x be (-69)\/(-12) + 9\/(-12). Let o(p) = p + 6*p + 6*p**2 - 1 - x*p**2. What is b*o(i) + 5*c(i)?\nAnswer: -i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 442 - -526. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 169084 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -2*j**5\/3 - 74*j**4\/3 - 308*j**3\/3 + 128*j**2 = 0.\nAnswer: -32, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p**4\/11 - 20*p**3\/11 - 72*p**2\/11 - 112*p\/11 - 64\/11 = 0. What is p?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v\/(v**(-4)\/v*v))\/(v**2\/v))\/(v**3\/(v\/(v\/v**(-3\/17)))) assuming v is positive.\nAnswer: v**(31\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(1573) - 5*(-2 + sqrt(1573))).\nAnswer: -88*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2147402050?\nAnswer: 2, 5, 257, 167113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 48 and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 24*d. Let q = 572 + -584. Let f(g) = -g. What is q*f(p) - r(p)?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-10)\/(-8)*5*(-1330)\/(-375). Which is smaller: 21 or o?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13635689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*n + 2*w + 8, 149 - 129 = -n - 5*w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 2029*c - 31*c**3 - 2324*c + 33*c**3 - c**2 in the form s*c**3 + t*c**2 + u*c + a and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-2))**(-34))**(-30) assuming v is positive.\nAnswer: v**(-2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1454394857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 62*z = 57*z + 39, 3*i = -2*z + 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, v: 3, f: 2, g: 4, o: 4, w: 3}. What is prob of sequence gww?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 168\/44 + -4 - (-48132)\/(-22). Let x = 3107 + h. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -5*-4*2\/10. Suppose j - 7 - 19 = -n*l, -2*l - 42 = -5*j. Suppose -i + j = -8. Calculate the smallest common multiple of i and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 24 = -5*y - 3, -y - 7 = 3*l. Let z(h) = -h - 1. Let o(a) = 4*a - 4. Let i(q) = o(q) + 3*z(q). Let r be i(y). Are -2 and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 + -2 + 2 + 4. Let r = -1 + 1. Suppose r*d - 3 = -3*d. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7716.\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 170420473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-112*p + 79*p - 4 - 70*p)*(-p**3 - p**2 + p**2).\nAnswer: 103*p**4 + 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 2*j = 27, -4 + 20 = 3*k - j. Suppose -g + d + 39 = -25, -2*g + 122 = -k*d. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c + 1. Let g be t(-3). Suppose 0 = z + 1, 4*v = z - 0 + 1. Suppose v = 4*s + 2*w + 8, 2*s - 3*w - g = -0. Sort 3, 5, s in ascending order.\nAnswer: s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-120))\/(((-21)\/14)\/3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -2*q**3 + 9*q**2 - 11*q - 17. Let u(h) = -h**3 + 5*h**2 - 5*h - 8. Let i(f) = 2*d(f) - 5*u(f). What is the remainder when 79 is divided by i(7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1239 + -528. What are the prime factors of t?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -477 = 52*k - 1361 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + 20\/9 - (-32)\/18. Suppose j*d - 88 = -4*z, 5*z + 0*d = 5*d + 80. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the third derivative of 5*p**8\/504 - 8*p**7\/315 - 19*p**6\/180 + 17*p**5\/45 - p**4\/9 - 8*p**3\/9 + 46*p**2 - 1. Let c(v) = 0. What is v?\nAnswer: -2, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -5*a**2 - 4239 + 4*a**2 - a**2 + 4239. Let i(l) = -8*l + 143. Calculate n(i(k)).\nAnswer: -128*k**2 + 4576*k - 40898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 177086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -242 * 0.1\nAnswer: -24.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2269, -2312, -2407, -2554, -2753?\nAnswer: -3004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 8:46 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 38699737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -376*i + 373*i = 0. Which is the second biggest value?  (a) i  (b) -59  (c) 2\/7  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 (base 10) in base 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 40*h + 34. Determine g(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1513\/224 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 8*k - 8 = 0, y - 17 = 3*k. Calculate the lowest common multiple of 1 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*13\/(1 - 0) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.167 times 176247?\nAnswer: -29433.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -431\/532 - -8\/133. Sort 3, c, -1\/6, 0 in decreasing order.\nAnswer: 3, 0, -1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-4\/9)\/b*b*b**1*b)**45*(b**(2\/9)\/(b*(b*b**(2\/5)*b*b)\/b))\/(b**(1\/3))**(20\/3) assuming b is positive.\nAnswer: b**(323\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 - (2 + -1 + -1 + (-211 - (-124 + -86)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from urzvi. What is prob of picking 1 u, 1 i, 1 z, and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -9 + (-240)\/(-28) + 42\/147\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3328, -2616, -1904, -1192, -480, 232?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1188 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + sqrt(112) + 0)**2 + -4)*2.\nAnswer: 64*sqrt(7) + 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7.44 - 412.44. Let i = f - -231. Let c = i + 146.1. Round c to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/(-100)*(-5840)\/(-8176)?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/((-8)\/54) - 0. Let n = -75 + 52. Let p = n - j. Solve -k - p = 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15424125 (base 7) in base 8?\nAnswer: 5524712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 300.392 + -300. Let a = m + 2.608. Let z = 0.1 + 0.01. What is the closest to a in -1\/5, z, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38384, -38379, -38372, -38363?\nAnswer: -38352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 less than 4863080770462?\nAnswer: 4863080770459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(52)\/sqrt(4)*1 - (sqrt(13) - (4 + sqrt(52)))))**2.\nAnswer: 16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**2 - 30*t - 107. Let i be m(-6). Solve -i*d + 4 = -36*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3 + -7)*(-6)\/10. Suppose 3*o - l*o = 45. Let m = 20 - o. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -488, -489, -490?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 5*a + 100. Let z = 43 + a. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g**3 - 2060*g**2 + 532504*g - 1056784 = 0. Calculate g.\nAnswer: 2, 514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -50 - -17. Let k = -72041.027 - -72008. Let l = k - a. Round l to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 126863398*u**6 + 663*u**2 + 2*u + 22992.\nAnswer: 15223607760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 - 6. Solve 4*g - 18 = 2*j, 7*g - u*g = 2*j + 21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.07, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 - 14*z - 94. Let b be r(19). Solve -72*c + b = -71*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 18715544?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 40 + -7e4d?\nAnswer: -7e0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*w**2\/5 - 48*w = 0. What is w?\nAnswer: 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.206644 * 0.11\nAnswer: 0.02273084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 270, 231, 186, 135, 78?\n\"Answer: -3*l**2 - 30*l + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 232, 859, 1888, 3313, 5128, 7327, 9904, 12853?\nAnswer: 16168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 4*k + 4*o, 0*k + k - 7 = -5*o. Let q(u) = -u**3 - 8*u**2 - 3*u - 12. Does 6 divide q(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -3\/10, -0.36, -0.4 in decreasing order.\nAnswer: -3\/10, -0.36, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tcqv when four letters picked without replacement from {l: 1, q: 1, c: 5, h: 2, v: 6, t: 2}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1193*r - 1193*r - 17*r**3 + 22*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-38)\/((21 - 4)*-2)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.629 less than 3?\nAnswer: 2.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*o = -9 + 793 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 322100997 a multiple of 409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 966.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhv when three letters picked without replacement from {v: 9, f: 2, h: 5}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*a - 1 + 9*a + a**4 + a**2 - 23*a - 24*a**3 + 0*a**3 as x*a + f*a**3 + s + y*a**4 + v*a**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2368 is divided by 254?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, -6579 in decreasing order.\nAnswer: 5, -2, -6579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13832.\nAnswer: 2, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -137*q = -120*q - 3*f + 22, 0 = -5*q + 18*f + 62 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 90870?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1533358 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 plus 109.8?\nAnswer: 106.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1  (b) -2  (c) 0.2  (d) 3\/14  (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 29. Which is the smallest value?  (a) -3\/4  (b) -5  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1\/12)\/d*d)\/d**(3\/7)*d**(-12\/7)\/d**(-6) assuming d is positive.\nAnswer: d**(317\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 54 and 134.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9314 (base 14) to base 13.\nAnswer: b694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*d + 4*d - d)*(-4*d**3 - 3*d**3 + 2*d**3) - 204*d**3 - 17*d**4 - 12*d**4 + 204*d**3 as n*d**3 + h + i*d**4 + r*d**2 + c*d and give i.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -358.6*-3.\nAnswer: 1075.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -82 + -6?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10230 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1670868461?\nAnswer: 1670868461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -2*m - m + 8*m. Let h = 24 + -23. What is the units digit of c(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 173 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1233\/310 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 1 - 2*o**2 + (-3 + 2 + 6)*(-2*o**2 - 2 + 2) - 2*o**2 - o**2 + 2*o**2 + (3 + o**2 - 3)*(5 - 2 - 2) to i*o + u*o**2 + c and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d = -d + 21352. What is d rounded to the nearest 10?\nAnswer: -2670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10003020 (base 5) in base 10?\nAnswer: -78510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16354754 is divided by 278?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + -5 + 35 + -7 + -28?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = -0*c + 3*c + 39, b + 25 = -272*c + 269*c - 14 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of -17*x**3\/6 - x**2 + 15*x. What is the first derivative of y(l) wrt l?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 - 5*o**2 + 5*o + 10. Let w be h(-6). Let i = w + 11. Sort 0, -5, i in descending order.\nAnswer: i, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4031 - 12432?\nAnswer: -22013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(2\/(-4) + 1). Let h be 2\/4 + (-14)\/g. Suppose -2*n = h*q + n - 348, -4*n = -16. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 699109 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 5*u = -105, -65*u + 60*u = 0. Let w(h) = 3*h**2 - h + 1. Suppose -2 = -4*m + 2. Let j be w(m). Calculate the highest common factor of n and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-7)*(v\/((v\/(v**(-27)*v*v))\/v))\/v)**(-17\/2) assuming v is positive.\nAnswer: v**272","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 322 - 4?\nAnswer: 31b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2104 and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (100\/(-75))\/((-60)\/(-54))*(-2)\/66.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2021)\/(-5) + 16\/20. Suppose 3*o - a = 2*g, 4*o - 370 = 4*g + 166. Suppose o = n - 74. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 861519*d**4 - 2*d**2*p + 572126*p with respect to d.\nAnswer: 3446076*d**3 - 4*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*y = 15*y - 13*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 54971103 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: Product of 84 and -37.\nAnswer: -3108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1\/(-2))\/((-1)\/(-42)). Let c = -13 - m. Solve -i - 2*i + 4*j = -c, -3*j - 6 = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*x + 3*x + 3*x + (3 + 2 - 4)*(1 - 1 + x) - 2*x + 5*x - x - 12 + 12 - 6*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*a*y + 51*a + 5*y + 1 wrt y.\nAnswer: 5*a + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hyy when three letters picked without replacement from yhyyd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 250\/11*v**2 + 2\/11*v**3 + 36000\/11 + 8400\/11*v.\nAnswer: 2*(v + 5)*(v + 60)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -36\/115 and 28\/55?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112974655?\nAnswer: 5, 22594931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17\/(170\/263876) - (-6)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x**4\/5 + 134*x**3\/5 + 407138*x**2\/5 - 162934*x + 81480 = 0.\nAnswer: -420, 1, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 41 + -37. Suppose -2*z + i*y + 236 = 7*y, 3*z + 4*y - 353 = 0. Calculate the remainder when z is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -0*t + 3. Let j(l) be the third derivative of -339*l**2 - 1\/30*l**5 - 1\/6*l**3 + 0 + 0*l - 1\/12*l**4 - 1\/10*l**6. Give j(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36824267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1 and -0.0282?\nAnswer: 0.9718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*c*d**4 + 12294*c - 18143*d**4 + 2 wrt d.\nAnswer: 8*c*d**3 - 72572*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*p - 30*p = 150 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -128.9, 3, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 50.24986 litres?\nAnswer: 50249.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 66 = 4*a, 2*o = 4*o - 4*a - 124. Suppose 3*u = -2*v + 17, 4*v = -0*v + 2*u + o. Calculate the remainder when 50 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -5*s**4 + 4100*s**3 - 36570*s**2 + 60860*s - 28385 = 0.\nAnswer: 1, 7, 811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 460*z**2 + 9*z + 151849?\nAnswer: 920*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 smaller than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 35*p**2 - 35*p**2 + 4*p**3 + (-3*p + 0*p + 2*p)*(-13*p + 10*p**2 + 13*p) in the form d*p**3 + q + g*p + a*p**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -88 + 67 + -11 + 13?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -22981, -22988, -22995?\n\"Answer: -7*y - 22974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 - 10*r + 13. List the prime factors of g(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 - 17. Sort -5, w, -3 in decreasing order.\nAnswer: -3, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 42 + -16188895.\nAnswer: -16188853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 19*t**2 + t + 3. Give q(3).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21481.\nAnswer: 21481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6391 + 31611. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 58\/55 + -16\/11. Which is the closest to o?  (a) 1\/2  (b) 0.1  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1278\/(-568) + 23\/((-1380)\/3825)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 49*l**3 - 42*l**2 + 42*l. Let o(f) be the second derivative of -26*f + 1\/12*f**4 + 0*f**2 - 1\/6*f**3 + 0 - 1\/20*f**5. Determine -m(z) - 42*o(z).\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((-28)\/(-21) + 1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.2 + -0.2. Let i = 13 + -11. What is the closest to l in i, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 125 + -235. Let h be 124\/(-10) + (-44)\/s. Let q(a) = a**3 + 11*a**2 - 13*a + 8. Let d be q(h). Solve -b = -5*i + d, i + 2*b + 17 = -2*b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -693211176 by -1.\nAnswer: 693211176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45 divided by -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/15103293 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -70.1000519 - -70.1. What is m rounded to 6 dps?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 17 + 2*p + 15 + 17 - 47 + 12*p**2 + 2*p**2 as t + j*p**2 + i*p and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 10101967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -43 + 120. Let k be (-11)\/(d\/(-21)) - -1. Solve -z = -3*t - 4, -6*t + k = -5*z - 3*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -5*s**3 - s**2. Suppose 0 = -232*q + 235*q - 6. Suppose 109*t - q = 107*t. Give g(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16300698 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 26279642*k**3*l**3 + 9*k**3*l - 774*k*l**2 - 126 wrt l?\nAnswer: 157677852*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 85  (b) 4  (c) 463  (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 51288318.\nAnswer: -5\/51288318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - v**5 + (3*v**3 - 3*v**3 - v**3)*(v**2 - 5*v + 5*v) + 2 - 2 + 3*v**5 + (-13*v + 16 - 16)*(21*v**4 - 79*v**4 + 35*v**4).\nAnswer: 300*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3574441*h**4 + 1273595*h?\nAnswer: -42893292*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of x**5\/20 - x**4\/6 - x**3\/6 + 2*x. What is the units digit of n(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 16363 or 16665?\nAnswer: 16665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -674994 + 678424 = -70*a for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -784 or -782?\nAnswer: -782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22 - -24. Let d = -990\/217 + -49\/31. Let o = d + 44\/7. Which is the closest to 0.1?  (a) o  (b) s  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -864 + 864 + 13521*c - 343*c in the form t + b*c and give b.\nAnswer: 13178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -25*r - 1199. What is z(-48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12 + -100. What is the units digit of (1*(-9)\/2)\/(44\/k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -4*w + 10. Let j = 13 - w. Solve j = -2*o + 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {n: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-96)\/(-18))\/((-4)\/(-186)). Calculate the highest common factor of 31 and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.205858 to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -555, -571, -603, -657, -739, -855?\n\"Answer: -g**3 - 2*g**2 - 3*g - 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15264911?\nAnswer: 191, 229, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 219359, 219265, 219171, 219077?\nAnswer: 218983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5*16\/(-104)*121\/726)\/((-10)\/(-216)).\nAnswer: 36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 938?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = -3*a - 17, -a + f + 1 = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.08 and 2083.3918.\nAnswer: 2083.3118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5773278.91 from 9961.\nAnswer: -5763317.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 1442*j**4 + 2*j**2 - 729. Let t(x) = 4322*x**4 + 7*x**2 - 2186. Let p(k) = -2*t(k) + 7*w(k). What is the derivative of p(u) wrt u?\nAnswer: 5800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 + 16*m + 28. Let f be z(-14). Suppose 4*h = -2*b + 52, f*h - 4*b + 29 = 3*h. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-31 + 30)*2184\/(-42).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4226.88 kilometers to millimeters.\nAnswer: 4226880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -8*z**3 + 5*z**2 + 76*z + 519. What are the prime factors of q(-7)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -0.6, 9 in descending order.\nAnswer: 9, 0.2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47 is divided by 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x**3 + 70560*x**2 + 1553046*x + 8543084 = 0. Calculate x.\nAnswer: -11, 35302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1292 - 298. Is m a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 34, 1, -1\/7, 102844, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = y - 6, 3*y - 51 = -7*b + 6 + 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -6*j - 351. Calculate q(-9).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-60)\/(-405)*9*-4*2\/(-96).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:23 PM and 7:36 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*b + 4*r + 29, -507*r + 512*r = -2*b - 31 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t - 5. Let p be v(0). Let n be (3 + -1)\/((-2)\/p). Which is the third smallest value?  (a) 3\/5  (b) n  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**2 - 15*z - 25. Let j be i(-12). Let g be (9 - j)*(-43 - -1). What is the highest common factor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81324 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*w = 867*c - 869*c + 159, 3*c = -2*w + 76 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let j be (-45)\/(8*(-4)\/(-68960)). Is (-18)\/33 + j\/(-99) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*a**2)*((-3*a + 3*a - a)*(-4*a - 3*a + a) - 4*a**2 + 3*a**2 + 2*a**2).\nAnswer: -14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/(k*k**2)*k**(-2\/15)\/k*(k**1\/k)**9 assuming k is positive.\nAnswer: k**(-47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*a**3 + 357*a**2 + 438*a + 63.\nAnswer: -3*(a - 21)*(a + 1)*(6*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8039356 or -8039341?\nAnswer: -8039356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -17*o + 40. Solve -3*m = -o*f + 12, m + 3 = -2*m + f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 4 + 1 + -52 + 48 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.031 + -49.169. Let p = i + 49. Which is the third biggest value?  (a) -2  (b) -11  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3*(3 + -3 + -1). Let l be (2\/6)\/(d\/27). Solve 3*a + 4*v = 14 - 38, l*a = 4*v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 14 = 3*c - 0*c, 5*c + 30 = 5*a. Suppose -8*y - 8 = -6*y. Put y, -8, c, -5 in decreasing order.\nAnswer: c, y, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q and 1 r when four letters picked without replacement from qrqttqtqrqqqttqqtqq.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 + 12. Suppose -4*f + q = -11. Suppose -u = -2*u + f. Calculate the highest common factor of 36 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.74481931 rounded to two dps?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4048*h - 493*h**4 + 8107*h + 1 - 4046*h wrt h.\nAnswer: -5916*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 2*t + 5*a + 1, -5*t - 5*a = 0. Let v = t - 1. What is the derivative of 0*b + v + 0*b + 4*b**4 - 3 wrt b?\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1413296*v**3 + 4687611.\nAnswer: 4239888*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.08  (b) -2\/3  (c) -8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 146 - 44. Suppose -m - 3 = -5*n. Suppose -19 = -2*t + n. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25856 - 25856 + 3*k**2 + 3*k**2 + k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(343) + 1 + 3.\nAnswer: 5 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -734*r**3 + 396*r**3 - r**2 - 532*r**3 + r**2 + r**3 + 0*r**2 + 0*r**2 + (-r**3 + 0*r**3 + 3*r**3)*(-1 - 4 + 4) - 2*r**3 + 2*r - 2*r.\nAnswer: -873*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2377 - -2377. Let v(r) be the third derivative of 1\/32*r**4 - 1\/840*r**7 + 0 - 1\/240*r**5 + 16*r**2 - 1\/160*r**6 + 1\/12*r**3 + z*r. Factor v(h).\nAnswer: -(h - 1)*(h + 1)**2*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0405941 millennia to decades.\nAnswer: 4.05941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2\/9  (b) 307  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2124 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-410124)\/(-581009) + (-11)\/(-153).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11880 by -1320.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-33540)\/344*2\/40 and -7\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -196.594781 rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/22, -5, 0.3, 70, 0.2 in ascending order.\nAnswer: -5, -1\/22, 0.2, 0.3, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -220 divided by 55.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*n = 29*n - 2*f, -n - 22 = 4*f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*a*r**3 + 11*a*r**2*u**2 + 3*a*r - 2*a*u - 3*r**3*u**2 + 2*r**3 wrt u.\nAnswer: 22*a*r**2 - 6*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -47 - -59. What is the tens digit of g*-4*4\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 - -21.7. Let k = a + 0.34. Let v = k + 0. Which is smaller: -2\/3 or v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 741 is divided by 150.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17810 - 10902. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 343 divided by -11272?\nAnswer: -343\/11272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8440 and 1076100?\nAnswer: 2152200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2567 = 32*p - 1113. Calculate the remainder when 6554 is divided by p.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-76)\/(-18) - 2\/9. Suppose 0*j - 18 = -3*j + 3*o, 2*o = -5*j + 2. Let y be j*3*(-3)\/(-18). Is v greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/732 and -163\/4026.\nAnswer: 8052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -2*a - f + 123, 31 = a - 3*f. Solve -4*r = r + a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from issiissiiys. What is prob of picking 1 y and 1 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 12875720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 423 - 391. Calculate the remainder when n is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 0*t = 5*r - 2, 4*r - 12 = 5*t. What is the remainder when (6\/t)\/(8\/(-48)) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -7, 1\/2, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.04 - 5.04. Let l be (5118\/28)\/(11\/(-22)). Let j = -365 - l. Put 0.4, t, j in increasing order.\nAnswer: t, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2091 = -432*b + 3803 + 2176 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 2*x**3\/5 - 2852*x**2 + 14258*x\/5 = 0.\nAnswer: 0, 1, 7129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 394, 80, 2, -16, 1 in decreasing order.\nAnswer: 394, 80, 2, 1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 3:15 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55, 327, 1067, 2515, 4911?\nAnswer: 8495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28393, 28374, 28357, 28342, 28329, 28318, 28309?\nAnswer: 28302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20 + 6. Let f = o + -13. Let k = -32 - f. Which is smaller: k or -0.02?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 7\/3, -2\/3, -1\/5, -3\/7, 0.5 in decreasing order.\nAnswer: 7\/3, 0.5, -1\/5, -3\/7, -2\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-144)\/32)\/9*4\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -427 = 9*d - 598. What is the remainder when d is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-5)*(1\/(-16))\/((-380)\/(-5700)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**2 - x + 1. Let j(i) = -5*i**2 + 9*i + 5*i**2 + 6 + 8*i**2 - 15. Calculate 2*j(o) + 18*k(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.4421 to 1 decimal place.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 940*s - 17. Let j = 42 + -36. Is d(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -2 - 5 - -1 - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 49\/(-35)*(-105)\/(-28) - (4 - 8). What is the biggest value in f, -5, -9, 4, 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1101 - -1103. Solve q - 18 = 8*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of 8\/3*d**3 - 22 + 1\/4*d**4 + 9*d + 1\/2*d**2. Let v be j(-8). Solve -4 = 5*b + v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39 + 6 + 29 + -103?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 7\/6, 3, -5\/24787, 0.3?\nAnswer: -5\/24787","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 PM and 4:34 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 188137 times 108\nAnswer: 20318796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 0, -2\/41, 4?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 512*u - 1022*u + 505*u - 8*f + 253, 0 = 3*u + 4*f - 127 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 717 is divided by 144.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1466.407 tonnes to micrograms.\nAnswer: 1466407000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 76*g**2 - 5625*g + 111. Let c be q(74). Put -3, 4, c, 1 in decreasing order.\nAnswer: c, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -i**2*o*t**2 - 9*i**2*o - 106*i**2 - 2*i*o*t**2*v + 1539*i*o*t**2 + 3*i*o*t*v + 2*o*t*v + 2*o*v wrt t?\nAnswer: -2*i**2*o - 4*i*o*v + 3078*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 75697*a**4 + 2*a**3*j + 10*a**3 - 2576*a*j - 414 wrt a?\nAnswer: 908364*a**2 + 12*a*j + 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 7 - (-1 + (1 - (-4 + 5)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w + 2*t - 270, 211 = 4*w - 4*t - 353. Calculate the lowest common multiple of 33 and w.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -681 by -6.\nAnswer: 227\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13.93 - 12.9. Let u = x - 0.03. Let w = 5 - u. Sort 0, w, 0.2 in decreasing order.\nAnswer: w, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5.6 + -114.\nAnswer: -108.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 7) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 20*p - 10. Let n be i(-1). Let w be (-10)\/4*12\/n - -2. Let f be (0 + 1)\/(w\/9). Sort -1, 4, 2, f in increasing order.\nAnswer: -1, 2, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/4  (b) 0.042  (c) -0.5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -37*y**4 - 528 + 528 + (0*y**4 + y**4 - 2*y**4)*(2 + 0 + 0).\nAnswer: -39*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 859104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001130476 to five dps.\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66288 is divided by 439?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from hmhudmumhuhmmmmuuuh.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:18 PM and 1:32 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 22*q**3 - 5*q + 124. Let o(p) = -51*p**3 + 11*p - 248. What is -9*a(g) - 4*o(g)?\nAnswer: 6*g**3 + g - 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 177 + -172. Suppose -3 = -s + 4*q + 18, q + 1 = -4*s. Put m, s, -2 in ascending order.\nAnswer: -2, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 60\/24*(-16)\/(-5). Let s be a + 2\/(-1 - 0). Solve 0 = 4*r + s - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 2*m**2 + m**4 - 58*m - 7*m**3 + 1 + 60*m - 6*m**2 + 0*m**4 in the form w*m**3 + r*m**4 + a*m + s*m**2 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 375 and 2730.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*z - 5*z - 2*z)*(48*z**2 - 12*z**2 - 23*z**2 - z).\nAnswer: -169*z**3 + 13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 4. What are the prime factors of 1\/b*(-9)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 322 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2*t - 5. Let b be r(-4). Suppose f + 2 = 2*l, 0 = 3*l + l + 4*f - 28. Find the third derivative of v**3 - 4*v**b - l*v**2 + 0*v**2 wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-119)\/49)\/17)\/((-231)\/(-66))\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 115704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -146818, -293494, -440166, -586834, -733498, -880158?\nAnswer: -1026814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 7, b: 2}. What is prob of picking 1 b and 2 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.9412 + -1.85. Let a = 0.091200853 - n. What is a rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x + 2*f + 3*f + 50, 9 = 3*f. Suppose 0 = -4*t + 5 - x, 0 = 5*m - 4*t - 38. Calculate the smallest common multiple of 3 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 653.9203kg in micrograms?\nAnswer: 653920300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k + 11 + 4. Suppose k*u - 35 = -5*z, 13 = 5*u - 4*z + z. Suppose -2*d + 10 = -2*n, u*n = -5*d + n - 11. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of -n**3\/3 - 11*n**2\/2 + 1. What is the tens digit of h(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 179 = -0*x + 2*x, -3*i = 3*x - 291. Let f = x - 67. What is the tens digit of 221\/7 + 1 + f\/63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = 4*v + 16, 6*a - 2*a = v + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-30)\/24 + 1\/4. Let u be (-2)\/(x\/2*2). Solve -u*k - 6 = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3*(12\/(-9))\/4. Let n = 4 - 2. Let x = 43 - 130\/3. Which is the closest to h?  (a) n  (b) -2\/11  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 + (0 - 0))*(-9)\/309. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**4 + m**2 + m + 1. Let c(d) = 16*d**6 + 6*d**4 - 9*d**2 - 6*d - 6. Let q(n) = 6*b(n) + c(n). What is the third derivative of q(x) wrt x?\nAnswer: 1920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 2 = -s. Let o(i) = 0*i - 2 + 4*i - 6*i - 2*i**s + i**3 + 3*i. What is the tens digit of o(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -16*c**3*d*g + 93*c**3*m + 4*c**3 - 10*c**2*d - 3*c**2*g*m + 17*c*d*g*m - 5*c*g wrt m.\nAnswer: 93*c**3 - 3*c**2*g + 17*c*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 78 - 78. Suppose 0 = 6*q - 4*q. Solve q = -2*j - a*j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20534004 and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 95+2.225\nAnswer: 97.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -2*x - 186, 2*r + 408*x - 401*x = 438. Calculate the remainder when 6343 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and -0.21.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - x - 193040 = 0, -118*x + 116*x - 38617 = -y. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 + 19. Suppose 3*d - 2 = n. Let i(h) = -8 - 10*h**d + 8. Let g(v) = -2*v**2. Calculate g(i(m)).\nAnswer: -200*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-243*p + 137*p**2 + 243*p)*(-6*p + 2*p + 3*p).\nAnswer: -137*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 17719 = 30*q. Which is smaller: -1223\/2 or q?\nAnswer: -1223\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7430*o + 35925*o = -683880 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*z - z, 2*f + 3*z - 16 = 0. Suppose 59 = 3*w + 5*k, 20 - 80 = -4*w - f*k. Solve -4*d = -r - r - 14, -2*r = -3*d + w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 21*g**3 + 5*g**2 - 11*g. Let c(y) = 4*y**3 + y**2 - 2*y. Let k(p) = p**2 + 11*p - 520. Let o be k(18). What is o*x(z) - 11*c(z)?\nAnswer: -2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -269 - -291. Let x = 77 - -10. Calculate the remainder when x is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1100 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (24\/9)\/(1\/6). Suppose s + y - p = -7, -10 = -2*y. What is the derivative of -2*u**4 - 6 + 3*u**s - 3*u**4 + 3*u**4 wrt u?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-2))\/((-1)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o + 4116 = 5*o. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2501 - -600?\nAnswer: -1901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -n + 2 + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 + 4*w**2 - 6*w. Let h(p) = -p**3 + p**2 + p - 10. Let n be h(0). Let r = 5 + n. What are the prime factors of s(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00804 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -12882, -5959, 950, 7839, 14702?\n\"Answer: -i**3 - i**2 + 6933*i - 19813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 59 and 8.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 9 = -3*h + 10, -3*b = 6. Suppose h*m - 3*m = 4*p - 86, -2*m + 2 = 0. Let q = 128 + -43. Calculate the remainder when q is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 457427354.\nAnswer: 2, 59, 107, 36229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide ((-1947)\/(-198))\/(1\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -2*f**2 + 6*f - 3. Suppose -5*t + 7*t = 8. Let q be y(t). Let b = q - -23. What is the highest common factor of b and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the second derivative of j**3\/3 + 12*j. Let p(w) = 7 - 7 + 2*w. Determine p(d(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*i - 3*i - 3*i)*(-15 - 11 - 12).\nAnswer: 38*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3*(-2)\/6 - -5. Let k = 3 + 6. Calculate the remainder when 19 is divided by g\/k*(-30)\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 171  (b) 0.2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -82.81, -0.1, 9818 in increasing order.\nAnswer: -82.81, -0.1, 9818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2703?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2708 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 47947383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 c, 1 m, and 1 d when four letters picked without replacement from {m: 2, k: 2, c: 2, l: 1, d: 1, y: 4}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 112353929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 divided by -803529?\nAnswer: -20\/803529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -6*j**4 - 4*j**3 + 3*j**2. Let p(c) = -5*c**4 - 5*c**3 + 3*c**2. Let q(z) = 5*b(z) - 4*p(z). Find the third derivative of q(o) wrt o.\nAnswer: -240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26067 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3468 (base 9) to base 13\nAnswer: -122c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 141\/((-5)\/(-2 + -3)). Let t be 10\/35 - f\/(-21). Let r be ((-2)\/6)\/(2\/(-6)). Solve -r = 3*k - t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101100111110011001000101 + 0?\nAnswer: -101100111110011001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 5*a = 25, 4 = -2*l + 5*a - 18 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1669 is divided by 138?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01692889563 rounded to 6 decimal places?\nAnswer: 0.016929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 192 + -188. What is the nearest to -2\/19 in -2\/3, 0.3, h, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -133, -255, -387, -535, -705, -903?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 11 = h - 66, 3*f = -h - 50. Let m be 2 - -12 - (2 - -7). What is the remainder when 28 is divided by (-6)\/f*m + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkggkkggkgkgggggggk. Give prob of picking 1 k and 3 g.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-15)\/6 + 10\/4. Solve -i - 4*i = m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 10080, 10048, 10012, 9972, 9928?\n\"Answer: -2*j**2 - 26*j + 10108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - ((2 - 2 - 0) + 3 - 10)) + -28.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 872\/261 - 2\/261. Calculate the common denominator of (-1 - (-25)\/16)*28 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 2*u**3 + 158*u**2 - 172*u - 33. What is the thousands digit of m(-78)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 38 + -35. Suppose -4*c = -3*k + 4 + a, -2*k = -5*c - 7. What is the units digit of 62 - (-3 - 0 - c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) -5  (c) -989663  (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times 0.11?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12.8 + 13. Let h(b) = -b - 4. Let t be h(0). Let a be 2*t\/(-60)*9. What is the nearest to -0.2 in 1\/3, o, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by -31\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -6\/25, 1.4577, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 256 - 252. Let a = -4 + 6. Let o(r) = 1 + 3*r**2 + 2*r**a - 4*r**2. Give o(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, 0.3, -38, -3, -4, -0.2 in ascending order.\nAnswer: -38, -4, -3, -0.2, 0.3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c = -14*c + 2720. What is the highest common factor of 24 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 212 is divided by 170?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1594022 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33842*p + 67685*p - 33840*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -2372576 at least -2372577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 346298 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ewwweweeeeewee. Give prob of picking 1 e and 3 w.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 565 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lmmltlm. Give prob of picking 1 m and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9283, 9208, 9133, 9058, 8983?\nAnswer: 8908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes after 1:25 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -5*h**2 - h - 3. Let z be 2\/(-4)*0\/(-2). Let w(r) = 1 + r + z - 2*r + r**2. Let f(a) = b(a) + 3*w(a). Solve f(q) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -3, -20728, -2, -1 in decreasing order.\nAnswer: 0, -1, -2, -3, -20728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -168.8 - -169. Suppose -23*y = -20*y - 18. Let z = y - 9. Which is the closest to 5?  (a) z  (b) 5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**4\/5 + 12*v**3\/5 + 392*v**2\/5 + 144*v = 0. What is v?\nAnswer: -10, -2, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + g)*(0*g**2 + g**2 + 0*g**2 + (1 - 1 + 4*g)*(0*g - 2*g - 2*g)).\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 7*f - 10*f + 0*f = -44, 2*f = 0. Put y, 0, -2, -24, 1 in decreasing order.\nAnswer: y, 1, 0, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*u - 1257*u**2 + 1329*u**2 - 10*u)*(-2*u**2 + 2*u**2 - 2*u**2).\nAnswer: -144*u**4 - 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 + 45 + 40)*(188 - 188 - 73*c)*(0 - c + 0).\nAnswer: 5110*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of -l**3\/6 + l**2 + l - 39. Calculate p(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 56020888 by -2546404.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 19, 12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7898862737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 85320 divided by 474.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3708, 8877, 14044, 19209, 24372, 29533?\n\"Answer: -m**2 + 5172*m - 1463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 6*d**3 + d**2. Suppose 8 = 3*v + 11. Determine x(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.8, 51\/14, -49494 in increasing order.\nAnswer: -49494, 0.8, 51\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 38610 and 585.\nAnswer: 38610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + 3*c + 2*c - 2, 5*g - 2*c = 16. Let o be 7\/(56\/48) - 12\/3. Solve -g*h = o*t - 16, -5*h = -2*t - 2*t - 33 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 6 = 2*g. Let o = -2.864 + -1.136. Put 2\/21, 3\/2, g, o in increasing order.\nAnswer: o, g, 2\/21, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -60 - -420. Let k be ((-25)\/9 - 1) + (-80)\/b. Is ((-2)\/((-3)\/3))\/(k\/(-2452)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lpmpllmll. What is prob of sequence mlm?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*t**2 - 3*t**2 + 6*t**2 + (-t**2 + 5 - 5)*(4 - 4 + 1) + (1 - 1 - 2*t)*(-2*t - 2*t + 3*t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.148 take away -1422.9?\nAnswer: 1423.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 185*i + 3398. Give s(-18).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45644?\nAnswer: 2, 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3417 and 1224.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the second derivative of 1\/3*q**3 + 0 + 23*q + 0*q**2. Let u(z) = -12*z**2. Give o(u(b)).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 2 h when three letters picked without replacement from {h: 3, g: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -3*v**2. Let d(w) = 5*w + 3. Let j(b) = 5*b + 2. Let k(p) = -2*d(p) + 3*j(p). Give k(y(x)).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -756317\/9 greater than or equal to -84036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 7*m - 51 = -c, 5*c = 4*m + 160. Let a be (75\/10 - -7) + (-6)\/4. Suppose -3*s + a = -2*s. Calculate the remainder when c is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23 - 15. Let u = -187 - -187. Suppose u = 5*h - 7*h + 10. Calculate the remainder when q is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 2) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/1184 and -38\/629.\nAnswer: 20128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 283 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 32 - 2093*k + 2374*k + 31*k**4 - 274*k + 2*k**2 + (-k + 0 + 0)*(2*k**3 - k**2 + k**2).\nAnswer: 29*k**4 + 2*k**2 + 7*k + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*p + 1250 + 2420. Is p a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (22*g**2 - 30*g**3 - 22*g**2)*(3 - 3 - 2)*(-1 + 2 - 4) + 4*g**3 + 0*g**3 + 0*g**3 to h + c*g**2 + d*g + v*g**3 and give v.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 707872228 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssyyyysysy. What is prob of picking 3 s and 1 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - j - 2*j = -57, -11 = -s - 4*j. Let k be (1 + (-1)\/6)*s\/(-50). Put k, -0.5, -41 in ascending order.\nAnswer: -41, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12388915 rounded to the nearest ten thousand?\nAnswer: 12390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -6104 at least -6081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 PM and 2:54 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 1920*a - 75. Let p(x) = 175*x - 7. Give -6*g(t) + 65*p(t).\nAnswer: -145*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.5 - -0.3. Let t = 0.07193 + 44.91807. Let s = 45 - t. Which is the third smallest value?  (a) s  (b) x  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -661 + 666. Let q = -4 - -3. Let m = -4 - q. Which is the second biggest value?  (a) m  (b) 0.5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 7 = 4*g. Let q = g - -2. Suppose -v + 4*a = -q*v - 147, 159 = v - a. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -z**5 - 533*z**4\/5 + 10754*z**3\/5 - 4216*z**2\/5 = 0.\nAnswer: -124, 0, 2\/5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1921015, -1921350, -1921685?\n\"Answer: -335*q - 1920680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**3 - 16*j**2 - 33*j - 34. Let h be r(18). Solve 25*u = h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 329795280 divided by 48?\nAnswer: 6870735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -8 + 8 + x - 7. What is the units digit of o(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 8 = 2. Suppose -4*w - 1 = -u*r + w, 2*r = 3*w. What is the second biggest value in -3\/8, r, 0.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -60, -121, -182?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 691*p**2 - 31*p - 14*p + 13 + 51*p - 22*p. Let t be g(-13). Round t to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8853.41 - -8790. Let z = 7.89 - r. Let n = z + -71. Put -0.05, 0.5, n in increasing order.\nAnswer: -0.05, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -17620 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -70154\nAnswer: 5\/70154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**3 - 2*z**2 + 5*z + 3. What is r(5)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -128 + 94*k + 128 + (-3*k + 2*k + 2*k)*(-3 + 0 + 5) - 2*k - 2*k + 5*k - 2 - k + 2 + 7*k - 3*k - 3*k - 2*k + 4*k - 3*k + 0*k + 10*k + 2*k.\nAnswer: 108*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2884*w - 2 - 2881*w + 2.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1905*a**2*l**2 - 3*a**2*l + 462*a**2 + 609900*a*l**2 + 6*a wrt a.\nAnswer: 3810*l**2 - 6*l + 924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3549\/(-338) - ((-24)\/(-108) - 31\/18). Let j(m) = m + 21. Determine j(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/9 and 65\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 6}. Give prob of picking 4 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(336) + sqrt(21) - sqrt(21))\/sqrt(7) + sqrt(3) - sqrt(24)\/sqrt(128)) + 2)**2.\nAnswer: 19*sqrt(3) + 1147\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-96)\/(-60)*(-1325)\/(-44520)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -60 + -2?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 - 16. Put 2, f, 0 in ascending order.\nAnswer: f, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 37\/1014  (b) -4  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*v - 26*v = 60. Solve -3*h = 2*h - v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -5, -3, 48, -6 in decreasing order.\nAnswer: 48, 4, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3.7 and -158.909?\nAnswer: 155.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*g**5 + g**5 - 6*g**5 + (6*g - g - g)*(0*g**4 - g**4 + 0*g**4).\nAnswer: -5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 5*g**3 - 185045*g**2 + 740120*g - 740100 = 0.\nAnswer: 2, 37005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12758*u + 11236*u + 5326*u + 4622*u - 38647*u - 40959*u)*(-1 + 3 + 1).\nAnswer: -213540*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 65 - 127\/2. What is the second smallest value in g, 2\/15, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -99 - -989. What is the remainder when x is divided by 133?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*p**2 + 0*p**2 + p**2 + (-3*p - p + 5*p)*(-2*p - p + 0*p) + 118*p - 54*p - 3*p**2 - 51*p.\nAnswer: -5*p**2 + 13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**4 + 242*x**3 + 1404*x**2 + 2776*x + 2092. Let t(m) = 18. Let u(h) = p(h) - 14*t(h). Determine l, given that u(l) = 0.\nAnswer: -115, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 10*d**3*q*y**2 + 2*d**3*q + 2*d**3 + 6256*d*q*y**2 - 3582762*q wrt y?\nAnswer: 20*d**3*q*y + 12512*d*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.3673ml in litres?\nAnswer: 0.0083673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 594.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 56\/8 + (0 - 1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -54249 (base 12) to base 11.\nAnswer: -76392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 447783806?\nAnswer: 2, 223891903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 181.2262ml to litres.\nAnswer: 0.1812262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or -11\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes after 11:53 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1959, -4123, -6611, -9585, -13207, -17639, -23043?\n\"Answer: -27*x**3 - 1975*x + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -164 + 162. Which is the smallest value?  (a) -0.3  (b) q  (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 4*f - 2. Let a(w) = 2*w + w - 2 + 1. Give -3*a(k) + 2*u(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 41, 1\/3 in increasing order.\nAnswer: 1\/3, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:42 PM and 1:06 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*t - 2*k + 176, -t + 2*k - 758584 + 758618 = 0 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2382 - -4877\/2. Let v = p + -1247\/22. Let c = v + 36\/77. Is c less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1255\/50 - (-9)\/(-15). Let g = i + -24. Suppose 1 = -2*r - 2*q + 9, -2*r + 3*q = 2. What is the third biggest value in r, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p - p**2 - p. Let u = 0 + 2. Let l(i) = -90 + 90 + i**u. Determine l(d(s)).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2307 + 520231?\nAnswer: 522538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 30023400 + -4?\nAnswer: 30023341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 514 - 354. Suppose 54*a - 59*a = -w. Let 0*b**5 + 6*b**4 - 16 + 0*b**5 - 2*b**4 - 4*b**5 - a*b - 4*b**2 + 20*b**3 = 0. What is b?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d**4\/5 + 300*d**3 + 141516*d**2\/5 - 69116*d - 19056480 = 0.\nAnswer: -185, -29, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 4 + 0)*(2*c - 4*c + 3*c)*(36*c - 31*c**2 - 36*c) to p*c**2 + k + j*c**3 + a*c and give j.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 6*n + 3*n - 588, 0 = 3*c - 2*n - 442. Suppose 0 = -5*h - 2*m + 875, 3*m - c = -h + 12. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -87120 times 2765?\nAnswer: -240886800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 80 = -7*q. What is the lowest common multiple of 8 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -451 (base 9) to base 6.\nAnswer: -1414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 88\/5 of a millisecond in microseconds?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -189, -342, -481, -600, -693?\n\"Answer: o**3 + o**2 - 163*o - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 10\/(-3)*(-18)\/15. Suppose v*k - 57 = k. Suppose m + 0*m + 5*q + k = 0, m - 4*q - 26 = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:29 AM and 5:51 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3*6\/1*(-39)\/(-2). Let h = c - -581. List the prime factors of h.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 173416627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2676430644 + 2676428231.1200048. Let n = 2412.9 + k. Let a = -0.02 + n. What is a rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 3*g + 20 = 0, 2*g = -4*v - 2*g + 16. Let p(k) = -k**2 - 5*k + 2. Let h be p(-4). What are the prime factors of (-744)\/(-18) + v\/h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l - 10. Calculate g(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 78637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-96)\/100*((-1210)\/(-33))\/(-22).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -661.99607 - -662. Round g to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -3 + 2. Let w be -6 - (-2 + c + 0). Is 0 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 - 5*o**2 + o + 3. Suppose 19 = 2*b - 3*z, 2*b + b - 3*z - 24 = 0. What is the units digit of d(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 8, y: 5}. Give prob of picking 4 w.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -348039, -695829, -1043633, -1391457, -1739307, -2087189, -2435109?\n\"Answer: -d**3 - d**2 - 347780*d - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-210)\/126)\/(10\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -48 - -242\/5. Let s = -2\/427 - 411\/3416. What is the third biggest value in s, j, -3\/2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11156 - 7801. Find the common denominator of -31\/2 and (7\/(-35))\/((-66)\/d).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -3*c**3 + 316*c**2 + 525*c + 1021. Determine b(107).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 27733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -37 - -19. Let p be (14 + -16)*(0 - (-1 + 11)). Let v = p + w. Solve v*u - 3*u = -5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16156000 rounded to the nearest 100000?\nAnswer: 16200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -154 - 22*p - 28*p + 140. Let m be x(-5). Suppose 0 = -q - 3*o + m, q + 5*o - 84 = 156. List the prime factors of q.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 128 = 5*y, 0 = 4*y + 2*u + 3*u - 106. What is the smallest common multiple of y and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -26 + 8. Let a(c) = -c**3 + 6*c**2 + 4*c - 6. Let r be a(t). Let l = r - 9. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -88*q - 5 + q**3 + 73*q - 5 + 4*q**3.\nAnswer: 5*(q - 2)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117) + (sqrt(117) + 0 - sqrt(117)))*-5 + sqrt(117) + sqrt(117) + sqrt(117)*1 + -4)**2 + 2*(-2*sqrt(52) + 0)**2.\nAnswer: 48*sqrt(13) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 42 and 1386861.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -24\/123889 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.9*-3419187\nAnswer: 3077268.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*y - 12 - 2 = -j, 10 = 10*y + 4*j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + 21?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17384 + -16657. Sort r, 1, 3 in ascending order.\nAnswer: 1, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*s + 3*s + 2*s + (10 + 1 - 3)*(-5*s + 2 - 2).\nAnswer: -39*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-291 - -318) + (-1 - 32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.3 from -0.292299821.\nAnswer: -0.592299821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.062 + -11.938. Let h = -43 - o. Is 0 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -3*c**2 - 9*c + 15. Let i be k(-4). Find the third derivative of -34*v**i - 20*v**2 + 38*v**2 - 15*v**2 - 15*v**2 wrt v.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (8 - (-470)\/25) + 3\/15. Sort u, -3, 1.\nAnswer: -3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-p + 3*p + 0*p)*(2 + 2 - 3) + p + 0 + 0)*(-3 - 19 - 35) to o*p + v and give o.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1950108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 2 = -18, 0 = 2*k + b - 12. Let x = 28 + -27.8. Let o be 6\/(1 - (-1 - 1)). What is the closest to x in o, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 7*l**2 - 17438*l + 104649. Calculate h(6).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 246846418?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 155406573 - 155406573 - 58*b.\nAnswer: -58*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -130690, -129414, -128138, -126862, -125586, -124310?\n\"Answer: 1276*p - 131966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6 and -1465?\nAnswer: -8790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 11.23+10483\nAnswer: 10494.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2158560 and 1800.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9846801, 5, -0.5.\nAnswer: -9846801, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 91 and 13851929.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or -79518?\nAnswer: -79518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1968 divided by -3?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -63 + -3502116?\nAnswer: -3502212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((-3 + (sqrt(500) + 2)**2)*4 - (sqrt(55) + (sqrt(3520) - (sqrt(3520)*1 - sqrt(3520))))\/(sqrt(11) - 2*(2*sqrt(11) - sqrt(11)))).\nAnswer: 169*sqrt(5) + 2002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/5)\/(u**0*u)*(u**(-2\/7)*u*u)\/u**(-2\/3))**(-10\/9) assuming u is positive.\nAnswer: u**(-206\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -73893, -147792, -221691?\n\"Answer: -73899*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20563*z**2 - 61689*z**2 + 20563*z**2 + 20561*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 92939 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 676 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 647*d = 646*d - 4*a + 9, 5*d - 24 = a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -2. Suppose z*w = -u - 15, 0 = 2*u - 0*u - 3*w - 14. Which is the second biggest value?  (a) -3\/4  (b) u  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 14882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15 + 15. Suppose 10*f - 3*f - 966 = l. Is f a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**2 - 3*v - 3. Is x(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29917*f = 29883*f - 646 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4049, 4087, 4129, 4163, 4177, 4159, 4097, 3979?\nAnswer: 3793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(42)\/sqrt(96).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 114886747 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 21.20485 millilitres?\nAnswer: 0.02120485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 460 divided by 120.\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 125, 553, 1281, 2309, 3637?\n\"Answer: 150*u**2 - 22*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - -50 - (-128 + 152)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (5\/(-2))\/((-1)\/2*1). Suppose r - 1 = -d*v, -r - 5*v - 104 = -5*r. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 9 + 6. Let j = -19797 + 19800. Solve j*h - l = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 - 32521.499.\nAnswer: -32521.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 893556996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:31 AM and 12:41 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, 3, -6, -0.8, 23, -3.\nAnswer: -6, -3, -0.8, -2\/17, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of a**5\/60 - 3*a**4\/8 + 2*a**3\/3 + a**2. Let t(s) = s**3 - 10*s**2 + 2*s - 10. Let i be t(10). Is f(i) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8769 + -8769.000012974. What is m rounded to seven dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(4\/5)*v\/v**(-4)*(v**(-2\/5))**(10\/3))\/(v**(-3)\/((v\/((v\/(v**(-6)\/v))\/v))\/v)*(v**(-1\/3)\/v*v)**(-1\/4)) assuming v is positive.\nAnswer: v**(23\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -10*z - 243. Give g(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y - 6. Let p be u(10). Suppose 5*w - 43 = -4*c - 8, 0 = 5*w + 5. Let d = -3 + 3. Solve d = -p*s - 10 - c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -22019354*b*q**2 + 140021*b*q + q**2 - 144*q wrt q?\nAnswer: -44038708*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160*j + 158*j = 556. Let w = j + 480. What are the prime factors of w?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -56\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1043699413.\nAnswer: 31, 3457, 9739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -110340946, -110340940, -110340934, -110340928, -110340922?\nAnswer: -110340916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -4*i - 7. Let p(d) = 3*d + 7. Let m(u) = -5*f(u) - 6*p(u). Let y be m(5). Solve 0*v**2 + 3*v**y + v + 2*v**2 - 2*v**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 61072396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2321?\nAnswer: 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/6392 and -59\/36754?\nAnswer: 147016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 67\/5 of a meter?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 179 = 9. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1500 + u**3 - 1667 + 4*u**3 + 167.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7\/6?  (a) -3  (b) -0.14  (c) 28\/5021  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (16\/8)\/((6\/(-77))\/((-12)\/56))\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1069, -1065, -1059, -1051, -1041?\n\"Answer: v**2 + v - 1071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 18, -527466.\nAnswer: -527466, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-59 - -38) + (0 - 3) + 4 + 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.823 + 3.8. Let j = m + 0.023115. What is j rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r - 10811 = 38885 - 13624. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*b**3\/5 + 228*b**2\/5 + 711*b\/5 = 0. What is b?\nAnswer: -3, 0, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a - c?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*2*(sqrt(171) + sqrt(171)*4)*3)\/((-4*sqrt(72))\/sqrt(8) - sqrt(144)))**2.\nAnswer: 38475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, -24, -16, -3 in ascending order.\nAnswer: -24, -16, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 85c54a - 50?\nAnswer: 85c4ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5 + (-2 - (-3)\/3). Solve h*x - 5 + 13 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -317 - 46*h - 321 + 576. Calculate the remainder when c(-3) is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 3*k + 12. Let f(g) = -3*g - 13. Let t(b) = -4*f(b) - 5*p(b). Let c be t(-4). Factor -1\/2*m**c + m**3 + 0*m**2 + 0 + 0*m.\nAnswer: -m**3*(m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-14) + 74\/14. Suppose 0 = -5*f + k*d - 2*d + 62, -5*f + 5*d + 60 = 0. Solve -3*c = -4*w - 16 + 5, -3*c + f = -2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6975303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 0*n = -0*n + 4*u + 84, 15*n - 282 = -u - 303 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 661\/2 - 1\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aae when three letters picked without replacement from aeeeeeeeeeaeeeeeee.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2931053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -5.8  (b) -0.3  (c) 5  (d) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 24 = -2*u - 3*o, 4*u + 5*o = -3. Let l(x) = x**2 - 10*x - 3. Let t be l(10). Put u, 2, t in increasing order.\nAnswer: u, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3515 is divided by 1756?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1088)*-3 + (sqrt(204)*-2)\/sqrt(3))*-2.\nAnswer: 104*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3246*s**3 + 4*s**2 + 558*s - 90012918 wrt s.\nAnswer: -9738*s**2 + 8*s + 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27\/(-6))\/(-2*3\/16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 8*o**2 - 16*o + 28. Let g be i(5). Let l = -153 + g. Put 0, -3, 1, l in descending order.\nAnswer: 1, 0, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 412830 and 10692.\nAnswer: 7430940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50*a - 392*a - 348*a.\nAnswer: -690*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*g - 43*g + 225657 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 940078 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = 4*b - 81. Solve 4*n = -n + b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 11007 - 1?\nAnswer: 11006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 92 and 54556.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sfs when three letters picked without replacement from {f: 2, j: 2, s: 2, r: 4}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the second derivative of -5*m**4\/4 + 79*m**3\/6 + 623*m**2 - 91*m - 9. Differentiate s(z) with respect to z.\nAnswer: -30*z + 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7131811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**3 - 754*l**2 + 7615*l\/2 - 4775.\nAnswer: -(l + 382)*(2*l - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 231 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -173*p**2 + 2082*p**2 + 882*p**2.\nAnswer: 2791*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 5*q - 45. Let b(z) = 4*z - 45. Let i be (-5)\/((-360)\/(-27)) + (-86)\/(-16). What is i*r(j) - 6*b(j)?\nAnswer: j + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 10*p - 2716. Suppose 3*k - 14 = -4*v, k - 5*k + 10 = v. Let f(j) = p*j - j**v - 194*j. Let t(y) = 5*y. Give f(t(w)).\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 125174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*b - 67 = -5*i, 3*b - 18*b = -i - 10*b + 9 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10*z + 3*z**5 - 4*z + z**5 + 3*z wrt z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -49 + -2269b?\nAnswer: -22706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 15.69237635 to 2 decimal places.\nAnswer: 15.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10290\/(-441)*(-6)\/10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**3 - 12*z**2 - 10*z + 13. Suppose 0*y + 11 = -y. Let h be c(y). Let k = 3.02 + -0.02. What is the smallest value in -1\/2, h, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 75 and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -i*r**2*s**2 - 15*i*r**2 - i*r + 12*i*s**2 + 395*i*s - 3*i - 132*r**2*s - 4*r**2 + 2*r*s wrt r?\nAnswer: -2*i*s**2 - 30*i - 264*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.25 - 0.05. Let n = -0.0093 - -0.4093. What is the smallest value in n, 0.7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 245 (base 13) to base 15.\nAnswer: 1b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -18\/19 <= -914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -378, -358, -322, -270, -202, -118, -18?\n\"Answer: 8*n**2 - 4*n - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) 2  (c) -0.04  (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -571 - -566. Put o, 14, -0.4 in decreasing order.\nAnswer: 14, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -36.67529 to 1 dp.\nAnswer: -36.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*w**3 - 7*w**2 - 21*w**3 + 7*w**2.\nAnswer: -38*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 112357053, 224714098, 337071143, 449428188, 561785233, 674142278?\nAnswer: 786499323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -2*u + 16, -u - 3*y + 6 + 10 = 0. Let v be 4\/(-22) + 10\/55. Suppose -u*l = -v*l - 20. Solve 2*n = n - l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2109009 and 30.\nAnswer: 21090090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (3 - 5) - (0 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/2 of a microsecond in nanoseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*1*sqrt(102) + -5*(sqrt(102) + (sqrt(102) - sqrt(102)*-2) + sqrt(102)))*-2)\/((5*sqrt(72)\/sqrt(2))\/(sqrt(24)\/(2*sqrt(4)))).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of -52*u**3 - 1629. Let m(s) = -9*s**2. Give v(m(x)).\nAnswer: -12636*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 130675222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*c - 10*b + 35 - 5, 0 = -2*b + 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 123 and -19.74.\nAnswer: 103.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -20 or -19653\/929?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 58 + -288\/5. Let j = 0.93 + -1.33. Put j, h, -4 in decreasing order.\nAnswer: h, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 116619756 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1955*y - 87*y**4 - 9*y**2 + 1954*y + 15*y**4 wrt y?\nAnswer: -1728*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - -2.05. Let w = 1.95 + g. Let r = 3.2 + -2.7. What is the biggest value in w, -5, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9562 times -0.1?\nAnswer: -956.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -339 = -p - 2*p. Let j = p + -57. What is the highest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a**4 + 0*a**3 + 0*a**3 - a**4 + a**2 - a**2 + a**4 - 2*a**4 + 0*a**4 + (-3*a**2 - 3*a**2 + 4*a**2)*(0*a**2 - 2*a**2 - 2*a**2) - a**4 + 4*a - 4*a.\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 174 + 9?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -46.5 + 46.7. Sort -5, c, 18\/13 in ascending order.\nAnswer: -5, c, 18\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80696785?\nAnswer: 5, 13, 1241489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 124623*c + 124655. What is y(-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g**2\/7 - 15754*g\/7 + 15755\/7 = 0. Calculate g.\nAnswer: -15755, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23 + -38. Let x = r + 15. Let n(s) = -s**3 + s**2 + s - 3. Determine n(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 2*j - 2. Let u(m) = -1. Let x(h) = -h - 4. Let r(v) = -15*u(v) + 3*x(v). Suppose -30 = 12*n - 18*n. Determine n*f(k) + 3*r(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22 + -12 + 41 + -5 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {t: 1, w: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/19, 60, -3, 0.2, 1478 in descending order.\nAnswer: 1478, 60, 0.2, 2\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 2\/9, -4, -0.0177 in descending order.\nAnswer: 13, 2\/9, -0.0177, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 85*n - 494. Calculate the remainder when 815 is divided by b(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, d: 1, f: 1, h: 4}. Give prob of sequence df.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + -4. Let x = 27.742 + -27.712. What is the third biggest value in 5, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19256700 rounded to the nearest 100000?\nAnswer: -19300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 7548 divided by 2?\nAnswer: 3774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*o**3 - 96*o**2 + 2158*o + 7068.\nAnswer: -2*(o + 3)*(o + 19)*(5*o - 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(-63) - (-8)\/(-198)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32988*i**3 - 32759*i**3 + 65361*i**3.\nAnswer: -386*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**3\/(s*s\/(s\/(s*s**(-2\/15)))))\/(s\/s**(-3\/5)*s**0) assuming s is positive.\nAnswer: s**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 4*t + 8 = 6*x, -31 = -5*x - t. Let f(q) = -6*q + 36. Let k be f(x). Which is smaller: k or -2\/329?\nAnswer: -2\/329","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -73278.83368 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.10239796 rounded to three decimal places?\nAnswer: 0.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of -1\/24*y**4 + 0*y + 1\/60*y**5 - 1\/60*y**6 - 2*y**2 + 0 - 1\/6*y**3. What are the prime factors of h(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 201811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -57b (base 13) to base 14.\nAnswer: -4b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 5*n = -8*n - 30, 3*g + 3*n - 36 = 0. Let f(t) = t**3 - 10*t**2 - 11*t - 10. Give f(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14 and 81 + (2 + -3)*1.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1081109\/2 bigger than -540554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(0 + (-4*sqrt(51)\/sqrt(3) - (0 + sqrt(153))) + -1)*-5*-1.\nAnswer: 25 + 175*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, 2\/13, -10\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -27899524*l**4 + 139582132*l**3 - 422624*l**2 + 320*l = 0.\nAnswer: 0, 4\/2641, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gb when two letters picked without replacement from {l: 6, g: 11, b: 2}?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -29726 minus 1436861?\nAnswer: -1466587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -405494.5 rounded to the nearest one hundred?\nAnswer: -405500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 5*x = -22, -4*c + x = -x - 2. Suppose -2*y + c*y - 5 = 0. Solve -4*w = y - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 2*s**3 - 12424*s**2 - 626200*s = 0.\nAnswer: -50, 0, 6262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, g: 6}. Give prob of picking 3 l and 1 g.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -5*j + 6. Let i(c) = -11*c + 13. Let r be 3\/(-6)*4 + -8. Let a = r - -1. Give a*g(s) + 4*i(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2628 greater than or equal to 2594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.29 - -12.71. Are -5\/4 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -399 + 347 = 13*w. Suppose 0 = -4*o - 3 - 1. Put o, w, 5 in increasing order.\nAnswer: w, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 260 a factor of 278870921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b - 0*s + s + 51, -3*b + 45 = -3*s. Let j(w) = -w**3 - 8*w**2 + 8*w - 6. Let r be j(-9). What is the highest common factor of b and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -117.5 - -113.5. Sort 3, -5, j, -26 in increasing order.\nAnswer: -26, -5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -7*v**2. Let d(l) = 25*l**2. Determine n(d(z)).\nAnswer: -4375*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 603551 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + c - 2 = -6, 0 = 2*c. Suppose 4*d + 4*b = -0*d + 4, 3*d - 43 = 5*b. Let t = f + d. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (14 - (-16)\/(-4))\/(-2). Let x = 14 + r. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -3*q**2 - 9*q + 86. Calculate the lowest common multiple of h(4) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21847659527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -212, -356, -486, -596, -680, -732?\n\"Answer: l**3 + l**2 - 154*l - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 37*u**3 + u**2 - 1. Let x(z) = 2*z**2 + 7*z + 8. Let w be x(-1). Suppose 17*a - 22*a = w*m + 12, -5*m - 10 = 5*a. Calculate p(m).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0.3, 2\/617 in increasing order.\nAnswer: 2\/617, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - b = -2*x - 9, -5*b = -5*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 5, n: 2, z: 3, w: 3, q: 7}. Give prob of picking 1 w and 2 z.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + s + 99 = 0, -19 = 3*s - 7. Let o = q + 27. Suppose p - 8 = -y - y, 5*y - o = 4*p. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 5*b + 8. Let h(q) = -1. Let g(a) = -6*h(a) - x(a). Let d be g(3). Let k = -15 - d. What is the nearest to -1\/3 in -1\/3, k, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/3*192\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/13)*x*x*x**(-20\/11)*x*x**(-16)*x*x*x\/(((((x*x\/(x\/(x\/((x*x**(-3\/19)\/x)\/x))*x))\/x)\/x)\/x*x)\/x))**19 assuming x is positive.\nAnswer: x**(-30031\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -3951135*k + 1975564*k + 1975568*k. Suppose -2*o + 0*o + 6 = 0. Let f(v) = -3*v - 5*v + o*v. Calculate n(f(r)).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.11 and -0.01.\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-3 + sqrt(108))*1 - (sqrt(27)*-2*6)\/(sqrt(441) + (2*sqrt(441) - sqrt(441))).\nAnswer: -78*sqrt(3)\/7 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.0927 - -0.2927. Let t = -8 - -8.8. Let n = -1.2 - t. What is the nearest to s in n, -1\/6, -2\/11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1051146, -1051165, -1051196, -1051245, -1051318, -1051421?\nAnswer: -1051560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 7:17 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*k**2*l**2 - 4*k**2*v + k*l**2*v - 131*l**2*v - l*v wrt k.\nAnswer: 10*k*l**2 - 8*k*v + l**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 773 - -233. Let p = w - 1003. Determine k so that 0 - 1\/2*k**4 - k + 4*k**2 + 5\/4*k**5 - 15\/4*k**p = 0.\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 125 + -113. Solve -t*v - 15 = 45 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1129, 4399, 9811, 17365, 27061, 38899, 52879?\nAnswer: 69001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0300064 to 3 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(((-4)\/418)\/((-796)\/2189)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -237*y**4 + 207*y**2?\nAnswer: -5688*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - ((-82)\/84*4 - -4).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10028, 10069, 10172, 10367, 10684?\nAnswer: 11153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.0366, 4, -7.9, -0.04, -11 in descending order.\nAnswer: 4, -0.0366, -0.04, -7.9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 12 = r. Suppose -1 = l - r. Let y(o) = -o**3 + 4*o**2 + o - 4. Let x be y(4). Sort l, -4, x in increasing order.\nAnswer: -4, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w + 10. What is f(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7*30\/(-84)*60\/(-75)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 164982 and 268460.\nAnswer: 714372060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2212255 (base 6) in base 9?\nAnswer: 177758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.19 + -0.37. Sort 2, n, 2\/3.\nAnswer: n, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 622 - 623. Which is bigger: t or -3\/1501?\nAnswer: -3\/1501","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -418.5 and -6340264?\nAnswer: 6339845.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 3*p**2 - 4775*p - 2. Let v(n) = -4*n. What is v(q(w))?\nAnswer: -12*w**2 + 19100*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -34\/15 - -139\/60. Let q(z) = z**2 + 10*z + 10. Let m be (0 + 6)\/((-12)\/18). Let u be q(m). Which is smaller: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxooooooxoxx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10.9 + 11. Which is the closest to y?  (a) -5  (b) 1  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 242546723?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 778 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1.2 * -297.7\nAnswer: 357.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -1725881*d - 22436459. Calculate h(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16 - 16. Let x be (((-45)\/12)\/(-5))\/((-95)\/76). Which is the second biggest value?  (a) r  (b) -2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -91 divided by 91.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -3*b**2 + b + 5. Give d(-5).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13.1 - -0.9. Let r = -7 + u. Let n = -3 + r. Put n, -3\/4, 3 in decreasing order.\nAnswer: n, 3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 7\/11?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18453996 = 9*c + 100*c + 287*c. What are the prime factors of c?\nAnswer: 46601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssrttsssysssysts. What is prob of sequence tssr?\nAnswer: 9\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -4342.1 - -2\nAnswer: -4340.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 500245\/96822 + -860\/163. Calculate the common denominator of k and 97\/6.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5220 and 2088?\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qjqbbjqjqjzbq. Give prob of sequence zq.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*g + 35*g - 9 = 0. What is the nearest to -8 in -1, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1\/3)\/(1\/6). Let p(q) = q**3 + 9*q**2 + 14*q - 12. Let u be p(-6). Solve u = -2*z - m*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14 + -172. Let i = 157.99999997 + y. Round i to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(2\/3)\/c*c**(9\/8) assuming c is positive.\nAnswer: c**(19\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 15*c**3\/2 + 303*c**2\/2 + 780*c + 150 = 0. Calculate c.\nAnswer: -10, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 63*a + 115. Give k(-3).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11, 19, 27, 35, 43?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 32 - 8. Suppose -9*r + y = -5*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 123 = v, -3*n = 2*v + 2*n - 202. What are the prime factors of v?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(-6))\/((-1)\/(-12)*4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 33313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -4060 (base 16) to base 11\nAnswer: -11422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -40 + 85. Suppose n + 3*a - k = 0, -n + 27 = -3*a - 30. What are the prime factors of n?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 64355652 - 2?\nAnswer: 64355650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + q - 45 = 0, 52*h - 24*h = 26*h - q - 21 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -55 + 57.18. Let u = h - 0.18. Let n = 0.016 + -3.016. Which is the biggest value?  (a) n  (b) -1  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -15 + 7*l**3 + 8*l**3 + 3*l - 11*l**3 + 12. Let t(h) = -3*h**3 - 2*h + 2. What is 4*b(s) + 5*t(s)?\nAnswer: s**3 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*j + 50 + 562 = 0. Solve -j = 3*q - 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 950, 930, 928, 950, 1002, 1090, 1220?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r + 3*r + 0*r)*(-3 + 5 - 4) + (-115 - 85 + 85)*(r + 2 - 2).\nAnswer: -113*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -5980*t**3 + 2*t - 29*t**2 - 52 + 3 + 5981*t**3. Calculate the remainder when 24 is divided by w(29).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3863 - 3862. Which is the fifth biggest value?  (a) -2  (b) z  (c) -3  (d) -2\/89  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the first derivative of -3*f**5\/35 - 3*f**4\/14 + 16*f**3\/7 + 48*f**2\/7 + 585. Find v such that q(v) = 0.\nAnswer: -4, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.8197393s in minutes?\nAnswer: 0.046995655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0, -1\/4, -2\/27, 3, 21?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 + i**2 + 5. Suppose 0 = b - 1, -2 = 2*k - 0*b - 2*b. Let h be c(k). Let t = 673 - 661. Solve h*y = 2*y + t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + (1 - -3) + 0. Let l(v) = -r + 1 - v + 3 - 3. Calculate the remainder when 2 is divided by l(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 2*d = -3*s + 1, d - 4*s + 8 = 0. Suppose -2*h + 2*t = -t - 17, -d*t = -5*h + 25. Solve 3*g = 2*g + h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 136 + -131 + (-1 - (1 + 4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*b = -6*b - 80 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 949 + 535 = -48*i - 148 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.2815*-4\nAnswer: 1.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, a: 1, u: 1, r: 2, d: 4, y: 1}. What is prob of picking 1 y, 1 u, 1 d, and 1 a?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -4*a**3 - 2*a**2 + 9*a + 9. Let x(k) = 2*k**3 + k**2 - 4*k - 4. Suppose 4*r + 145*b + 14 = 146*b, 0 = b - 2. Give r*o(t) - 7*x(t).\nAnswer: -2*t**3 - t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -2\/11, -3\/2, 0, 8, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -949\/45 + -11\/45. Let p = -2\/1911 + -91718\/9555. What is the common denominator of p and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/(-60)*(-20)\/16*1\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2070534 divided by -3.\nAnswer: 690178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3104112 (base 5) to base 6.\nAnswer: 1025540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1788 - -30397\/17. Which is smaller: -8 or m?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82*f - 79*f + 39966 = 0. Let u = f - -28833. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0481412 micrograms to milligrams.\nAnswer: 0.0000481412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2\/11, 140, -0.19, -0.5, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 63*f - 66*f + 17128, -68554 = -4*q + 2*f. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 244270, 488503, 732736, 976969?\n\"Answer: 244233*c + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 474 is divided by 197.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the third derivative of h**4\/3 - h**3\/2 + 3*h**2. Let b(y) = -2*y + 28678 - 28678. Determine w(b(m)).\nAnswer: -16*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 6, m: 13}. Give prob of picking 3 m.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 49 - 55. Let m(b) = 2*b - 2. Calculate m(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1*-2*sqrt(52) + sqrt(52)*2*-2)\/((sqrt(6912)*1 + sqrt(48))\/sqrt(12))*-5.\nAnswer: -150*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**2 + 5*c - 3. Let q be p(-6). Suppose 3 = 4*j - q*j. Solve s - 20 = -j*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 386604343?\nAnswer: 19, 20347597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + 2. Let z = j - 2. Let i(y) be the second derivative of y**4\/12 - y**3\/2 - 3*y**2\/2 + 39*y - 2. Give i(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/7 in -5, -0.2, 24?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 26 - 31. Put 0.4, k, 5 in decreasing order.\nAnswer: 5, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 5:59 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 8910, 16172, 23436, 30702?\n\"Answer: t**2 + 7259*t + 1650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 5*r = 3*r - 10, -5 = -4*p + r. Suppose -3*z - 5*h = -84, 5*h - 7*h = p. What is the smallest common multiple of 20 and z?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/7?  (a) 5  (b) -0.1  (c) 2  (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yuv. Give prob of picking 1 y and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -211 - -211. Which is the biggest value?  (a) 12  (b) -0.1  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -42 + 716453?\nAnswer: 716411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 58344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -9  (b) 3\/8  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -2*t + 14, -3 + 7 = -4*t. Suppose -8*g = 3*j - r*g - 14521, 9719 = 2*j - 5*g. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -58926 + 58861.901. Let r = u + 64. Let d = r + 0.0989927. What is d rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2554, -5109, -7678, -10267, -12882, -15529, -18214, -20943?\nAnswer: -23722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -29*b**2 - 11*b - 11. Let x(u) = -5*u**2 - 2*u - 2. Let p(n) = -2*s(n) + 11*x(n). Let j(w) = 18*w - 12*w**2 + 16*w - 34*w. Calculate p(j(a)).\nAnswer: 432*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -1, 7, -2 in increasing order.\nAnswer: -4, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 30 = -6. Let d(p) = 2*p + 31. Let z be d(v). Find the second derivative of -b - 6*b - 5*b + z*b**3 wrt b.\nAnswer: 90*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111 + 11001?\nAnswer: 101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -93684 times 2?\nAnswer: -187368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1*(1 + -2))\/(-1). Suppose 0*c = -5*c + 70. Let s be 5 - (3 - -3) - c\/(-8). Which is greater: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -250 - -250. What is the closest to r in -0.03, -0.3, 1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -3. Suppose 0 = -7*m - m - 24. Which is the second smallest value?  (a) -2  (b) m  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 20 - 4 = 0. Let f be (l\/(-12))\/((-4)\/30). Suppose -f*j + 1 = -14. Which is the nearest to -1\/2?  (a) j  (b) 0.4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 2*y + 4*h - 68, 27 = y + 3*h. Let f = -17 + y. Which is smaller: 6 or f?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-102724)\/33 - 4\/(-6). Let i = t + 3109. Let d = -1599 - -8034\/5. Calculate the common denominator of d and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from leoeeegeegeeaogv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 9*f + 2. Let g be s(4). Let a = -11 + 17. Suppose 4*p = -a*j + 5*j + g, 0 = -2*j - 4. Calculate the remainder when 19 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -4*z - 3*z + 5*z. Let l(r) = 28*r**2 + 3*r - 11. Let s(m) = -152*m**2 - 16*m + 53. Let i(y) = 16*l(y) + 3*s(y). Determine n(i(o)).\nAnswer: 16*o**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-1)*1 - 2. Let b be (-9)\/h - 40*1. What is b rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the second derivative of 2*h**3\/3 - 15*h**2\/2 + 222*h + 1. What is o(11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of c*g*y**3 + 15322295*c*y**4 - 192*c*y - 2*g*y**4 + 509*g*y**2 + 5*g*y - g - 4*y**2 wrt y.\nAnswer: 6*c*g + 367735080*c*y - 48*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 156605737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/7, 9, -11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-180)\/8)\/((-19550)\/(-1564)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -51 - 2*v**2 + 8*v**2 + 53. Let o(x) = -x. Calculate o(y(z)).\nAnswer: -6*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p - 3*k - 16203, -5*k = 1 + 4. Let a = 9269 + p. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -138 times -1?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/105 and 127\/294.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-2*sqrt(180)*-3 + 0 + -5*-1*3*sqrt(180)*-3)**2.\nAnswer: 131220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -236959*g. Let k(d) = -231*d**2 + d. What is q(k(t))?\nAnswer: 54737529*t**2 - 236959*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 8*i - 159. Let y be u(20). Which is the closest to -1?  (a) y  (b) 0.1  (c) 2\/9  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 184515?\nAnswer: 3, 5, 12301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2 + 102*z - 87399.\nAnswer: (z - 249)*(z + 351)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -192*x + 571. Does 17 divide q(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 97 + 13 + 32 + 116 + 79*y wrt y?\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of y**2\/2 - 3*y - 23. Give x(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most as big as 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**2 - 24*y + 60. Let w be n(21). Calculate the remainder when 13284\/120 + w\/(-10) is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in i**2 - 3556225*i = 0?\nAnswer: 0, 3556225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 25887, 26438, 27359, 28650?\n\"Answer: 185*j**2 - 4*j + 25706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 4 + 2)*(-2851*h - 7549 - 7559 + 15097) as x*h + k and give x.\nAnswer: 5702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -1942\nAnswer: -1\/1942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11*h**4 - 1943*h**3*t**2 - 14*t**2 - 309*t with respect to h.\nAnswer: -44*h**3 - 5829*h**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7392*q + 7394*q + 2*d + 40 = 0, 4*q + 32 = -d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 926.\nAnswer: 277.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.09 + 2.09. What is the nearest to -2\/7 in -0.3, r, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -3*y + 3742, 4*j + 0*y - 3*y = 2999. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**2 + 471*f - 7740.\nAnswer: 3*(f - 15)*(f + 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.09 at least as big as 152998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from cccckkkckkcccckk?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*w**3 + 17 + 2*w**2 - 30 + 12 to n*w + s*w**2 + b*w**3 + p and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 10:11 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + -4 + (15 - 1). Let q(f) = 3*f - 32. Let y be q(p). Solve 0*u = y*u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of q**5\/20 - 25*q**4\/12 + 11*q**3\/3 + 29*q**2 + 2*q + 31. What is the remainder when 37 is divided by h(24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 17088 or -380?\nAnswer: 17088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1000 + 52?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2496 + 3*d - 8*d - 2741 + 5237.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 24 + -26. Which is the third biggest value?  (a) v  (b) -3\/5  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 7538, 7532, 7514, 7478, 7418, 7328, 7202, 7034?\n\"Answer: -k**3 + k + 7538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the second derivative of -z**7\/280 + z**6\/90 + 5*z**3\/6 - 2*z. Let j(s) be the second derivative of r(s). Find the third derivative of j(x) wrt x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o**5\/3 + 1042*o**4\/3 + 135196*o**3\/3 - 137284*o**2\/3 - 45066*o + 45414 = 0. Calculate o.\nAnswer: -261, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.5 times 3.1?\nAnswer: 7.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is (77\/33)\/((-3)\/9) - (-79657 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-15)\/(-2))\/(-1 - (-774)\/780). What is i rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 3*q + 8 = 0, 0 = -i + 2*q - 4*q + 2. Let y be (0 - -1)*i + -46. What is the remainder when 29 is divided by ((-10)\/(-8))\/((-6)\/y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (6\/(-4))\/((558\/(-8916))\/31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -3\/32561459 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (4\/(-22) - (95 + -83 + 16943\/(-1287)))?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-4 + 6 + 0)*(4 + 1 - 6) - 6 + 1 - 1)*(-297*x + 4186*x**2 + 299*x - 1059*x**2) to the form n*x**2 + o + d*x and give n.\nAnswer: -25016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 5*t = -136, 2*l + 0*t = -2*t + 66. Let y = -4 + l. What is the greatest common factor of 225 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2443120 (base 7) to base 9\nAnswer: 526584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -13*k**2 + 121*k + 779. Give l(-6).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -169\/12 - -59\/4. Let s(i) = i**3 - 3*i**2 + i + 3. Let q be s(3). Let d(x) = -x**2 + 5*x + 8. Let u be d(q). Which is smaller: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 455*v - 403*v - 156 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -541, -484, -427, -370?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/474 and 43\/10.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-33 - 19 - -47) + (13 + -10 - (12 + -1))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -1282033 and -1892.52.\nAnswer: -1283925.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189\/((-6)\/(-2)) + 1 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -8 + ((-18)\/(-2) - 3938001). Round u to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -30 - 2 + 8 + 7 + 7*m + 3*m**2. Let s be c(-12). Let u = -195 + s. Does 34 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*v - 6*v + 4*v)*(-57 + 16 + 1)*(v + 5*v - 5*v + (4 - 2 - 3)*(-3*v + 6*v - 5*v)) in the form q*v**2 + u*v + o and give q.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98835 is divided by 178?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-182)\/(-9) - ((72 - 61) + (-7)\/(-1))\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.1  (b) 1\/3  (c) -4  (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3148095829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2708 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-5 + 2 + 2)*(2 + 2 - 3) + (6 - 2 - 3)*(4 - 3 + 9))*(3*m + m + m) as r + t*m and give t.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -114328, -114334, -114340, -114346, -114352?\nAnswer: -114358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w. Let m(q) = 18. Let d(a) = -2*m(a) - 4*t(a). Let n be d(9). Are n and -5\/38 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = 4*o + 35. Let w = o + 19. Let p(k) = 1. Let s(t) = -2*t + 1. Let n(r) = r**2 + r + 2. Let c be n(0). Give c*p(z) + w*s(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k - 3. Let c be z(-2). Let b(h) = 6*h + 36 - 105 - 102. Let s be b(29). Sort 4, s, -5, c in descending order.\nAnswer: 4, s, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/72 and (-302)\/120*(-5 + (0 - -3))?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 68401\/18 + -3792. Let l = 539\/108 + -13\/54. Calculate the common denominator of b and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 132*n**2 - 3*n - 5. Let x be b(-2). Let u = x - 489. What is the highest common factor of u and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 3*r**3 - 10521*r**2 + 167613*r - 157095 = 0.\nAnswer: 1, 15, 3491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(-2\/7))**22\/(b**(-2\/11)\/(b*b*b\/(b\/(b**7\/b)))) assuming b is positive.\nAnswer: b**(2808\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 41*o + 285. Calculate n(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of d**3*i*o*z + 2*d**3*i - 32*d**3*o - 114*i*o*z - i + 2*z wrt z.\nAnswer: d**3*i*o - 114*i*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-12)\/(-8)*6\/(-9)*1. Which is smaller: 1\/750 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 0*a = 3*a - 52, 0 = -b - 5*a + 13. Suppose 0*u = 2*j - u + 7, -2*j + 5*u = -b. Let q(y) = 2*y + 8. What is q(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41520*c**2 - 41518*c**2 + 2 - 1 - 1.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1)\/5*0)\/(-2). Solve w = -4*h - 5*u - 4 - 25, -8 = 3*h + u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26 (base 12) to base 8.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 2 u when four letters picked without replacement from {w: 7, j: 5, u: 4}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 12) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 365365 is divided by 1377?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9638 and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:24 AM and 2:07 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, l: 3, u: 1, t: 2, j: 3, c: 2}. Give prob of picking 1 j, 1 t, and 1 l.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -9676382 and 36?\nAnswer: 9676418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 6983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g. Let i be o(-1). Let j be ((-6)\/15)\/(i\/25). Is (-1 + j)*(-5 + 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 415 = 5*c - k, -c = -2*k - 47 - 45. Suppose c*l = 77*l - 35. Let p be (12945\/(-2121) - -6) + (-1)\/l. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 145\/380448 and -19\/1379124?\nAnswer: 11032992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -187*x = -690*x + 1509 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l + 360. Does 18 divide u(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/((-40)\/(-14))*(-222)\/(-259)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 707 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1827*x**4 + 87*x - 1825*x**4 - 2557*x**2 - 89*x + 2*x**3 + 281*x**5 wrt x.\nAnswer: 16860*x**2 + 48*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 500, 1867, 4146, 7337, 11440, 16455, 22382?\nAnswer: 29221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*-6*-3*(sqrt(637)*3 - sqrt(637)))**2 + 1)*-6.\nAnswer: -19813254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1607138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 722 and 1140038?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 146101?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**3 - 2*i + 2*i)*(2*i - 3*i - 4*i)*((2*i - 6*i + i)*(-2 + 0 + 3) + (i + 2 - 2)*(-3 + 3 - 1) - 2*i - 2*i + 3*i).\nAnswer: 50*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 404?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0581915 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 25*g**2 + 249*g - 1877. Determine s(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of -d**7\/21 - 2*d**6\/5 - 13*d**5\/10 - 2*d**4 - 4*d**3\/3 - 5*d. Let i(o) = 0. What is o?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(56)\/sqrt(2) + sqrt(84)\/sqrt(3) + -4 + 2 + 0.\nAnswer: -8*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27 + 48. Let a be (-7)\/(g\/(-30))*(-25)\/(-10). Suppose 5*m - a = 0, m + 2 + 3 = 2*k. Put 4, 3, k in ascending order.\nAnswer: 3, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 103 + -119. Let n be (-1)\/2*u\/56. Let t = 0.6 - 0.1. Which is the closest to n?  (a) 2  (b) t  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 128144109 to the nearest integer?\nAnswer: 11320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of 2*d**6\/15 - 7*d**4\/12 + 3*d. What is the third derivative of i(y) wrt y?\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8226*z - 8226*z + 344970 - 344970 - 11*z**3.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 32816, 65644, 98472, 131300, 164128, 196956?\nAnswer: 229784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1535446, 3070910, 4606390, 6141892, 7677422?\n\"Answer: i**3 + 2*i**2 + 1535451*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r + 17 - 8 - 14 + 0*r. Let f be k(-13). Solve i - 3*i + f = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2876, -8826, -18750, -32654, -50544, -72426, -98306, -128190?\nAnswer: -162084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.4  (b) 3  (c) -1\/709\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from awsdpwapssps.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29 + (37 - 105) + -1 + 7 + 7?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -297 + 260. Which is greater: f or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10000011011010011000 (base 2) in base 14?\nAnswer: 100236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - (4 + 7 + -42 + 25).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/11  (b) 64\/9  (c) 0.615\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 - 2*q - 25. Suppose 0 = -9*d - 8*d - 85. Calculate the remainder when 23 is divided by m(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*o**3 - 7*o**3 - 4*o**4 + 3*o**4)*(-o - 4*o - 6*o).\nAnswer: 11*o**5 - 11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (325\/(-70))\/65*(-7 + -3).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -231*u + 243*u. Suppose 3*s = -4*d + 140, 4*s = -s - 5*d + 240. Suppose 3*k - 7*k = -s. Solve -2*x + 3*w + k = 0, -2*x - x + u*w = -12 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/715 and 46\/31423925?\nAnswer: 345663175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**2 + 28*b - 288. Let g be m(8). Factor 0*k + 0*k**4 + 0 - 2\/9*k**5 + 2\/9*k**3 + g*k**2.\nAnswer: -2*k**3*(k - 1)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12306 or 12311?\nAnswer: 12306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 29 + -27. Solve -c*a = -5*t - 6, -2*t = 4*a - 7*t - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the third derivative of -4*l**5\/15 - 43*l**4\/12 - 5*l**3 - 76*l**2. Factor x(k).\nAnswer: -2*(k + 5)*(8*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124758 >= 124789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -31782*s**2 - 12254?\nAnswer: -63564*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 3*g = 3*g. Let d(h) be the second derivative of -1\/18*h**4 + g*h**2 - h + 1\/90*h**6 + 0*h**3 + 0 + 1\/60*h**5. Find r such that d(r) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-132)\/(-77))\/((-12)\/84)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27749220?\nAnswer: 2, 3, 5, 109, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 752498*j**3*p**2*y**2 + 159*j**3*p*y**2 - 13*j**3*p*y + 2*p**2*y**3 + p*y**3 wrt p.\nAnswer: 1504996*j**3*y**2 + 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-o + 0*o + 2*o)*(29873*o**2 + 311*o**3 - 29873*o**2) as u + f*o**2 + h*o**3 + s*o + a*o**4 and give a.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 10, -2\/3, 0.19, -0.1, 0 in increasing order.\nAnswer: -6, -2\/3, -0.1, 0, 0.19, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 22 and 302570?\nAnswer: 302548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1218 = 67*q - 503*q - 4450 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 21\/15 - 8\/20. Let s(r) = 61*r + 1. Is s(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 903, 3801, 8635, 15405, 24111, 34753, 47331?\n\"Answer: 968*l**2 - 6*l - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 969*y = 11426 + 3109 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1633*q = -1700*q + 53466. Calculate the remainder when 1620 is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 3*g - 1. Suppose -4*v + 2*v - 16 = 0. Let l(f) = -f**3 - 8*f**2 - 2*f - 5. Let s be l(v). Suppose -4*o + a = s, -5*o + 3 = -2*a + 19. Give u(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 6 + 0)*(-3*g - g + g) + 2*g - 2 + 2.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 + 1. Suppose b = 3*u + 4 - 10. Suppose 0 = 5*j, -6*x + x = u*j - 10. Calculate the greatest common factor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 6*p - 61. Suppose -l - p = -7*l. Solve 0 = 2*a - 5*h, h - 2*h = -l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21204 and 1587564.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3701.6*-18\nAnswer: 66628.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (474*m - 246*m - 278*m - 4)*(-2 + 2 + m).\nAnswer: -50*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 111 - -225. Suppose -3*m + 7*h = 2*h - 209, -v = -5*m - 4*h. Calculate the greatest common factor of 51 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 293.9396 - 294. Round u to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/(0 - 3\/(-41)). Let z = 43 - x. Suppose m + 21 = z*m. What is the remainder when m is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6588577\/2657616 - 2\/55367. What is the common denominator of 58\/(-261) - 548\/(-288) and t?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5867\/15 + 391. Suppose -4*g + 24 = 8. Suppose -2*c + 8 = 4*n - 6*n, -5*n + 16 = g*c. Sort c, o, -0.1 in decreasing order.\nAnswer: c, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 72262227 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 80944 a multiple of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert a (base 13) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(32))**2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 191542074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 58954, -2\/19, 2\/9 in descending order.\nAnswer: 58954, 2\/9, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*d - 2*m + 11, -4*d = -4*m + 17 - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of 0*z**3 - 1\/3*z**4 - 1\/2*z**2 + 0 + 3*z. Give f(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -168 divided by -24\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**2 + 3*q - 8. Let k be s(0). Let v be (-8)\/20 + 778\/(-80). Let w = k - v. What is the common denominator of 35\/37 and w?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 + ((-6)\/(-1))\/(-2). Suppose k = -2*x - x + 66. What is the remainder when x is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*p + 19*p + 1892 = -19*p - 30*p for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -475*x = -4080 + 10122 + 5358 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 - 7*z + 12. Let s be i(4). Let x(r) = 5*r + 9*r + 1 - 10*r**2 + 12*r**2. Let k be x(-7). Solve s = y + k + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -118, -233, -348, -463, -578, -693?\n\"Answer: -115*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -4*(124\/(-248))\/(2\/(-14))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 9, n: 2, d: 4, m: 1}. What is prob of sequence nmnd?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -3*q - 4*g, 3*q + 2*g - 9 = 2*q. Let j = -41 + 147. Let x = 529\/5 - j. What is the second biggest value in -3\/8, q, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lw when two letters picked without replacement from wallvalwl?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 133 divide 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -4*q**3 - 3*q**2 + 4*q. Let l be u(2). Which is smaller: l or -34?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70179.\nAnswer: 3, 149, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 + 5*t + 262. Let j be y(18). What is the highest common divisor of j and 588?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 - -2 - (1 - 13\/(-7)). Which is the nearest to 1\/3?  (a) i  (b) -3  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*j**2 + 15*j**2 + 8*j**2 + 8*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.055549 in -2, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2425426 to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22 + 12. Let q = -7.2 + 1.2. Let d = f - q. What is the smallest value in -1\/6, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4242 - -5492. What is the greatest common factor of b and 375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-5 + (-3)\/(-3))*130\/40. Let v(o) = -o - 22. Determine v(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3*40\/810)\/((-4)\/(-6)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 454090830*f + 173237429 wrt f.\nAnswer: 454090830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 168 times -3?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 838197618 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2f9155 - 4?\nAnswer: 2f9151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(-72)\/819*-13?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -147, -253, -423, -651, -931, -1257?\nAnswer: -1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(104) + (sqrt(104) - (sqrt(104) - (sqrt(104) + -1*sqrt(104) + sqrt(104)))))*-5)\/sqrt(8))**2*5.\nAnswer: 6500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 - 5*i**2 + 4*i - 9. Let h be t(-6). Suppose -w + 3*d = -5*w + 18, -h*d = -2*w. Let g be (-10)\/56 + w\/(-12). Which is smaller: g or -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -60 times -62265?\nAnswer: 3735900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 103837 divided by 119?\nAnswer: 103837\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 0.021, 2\/7, 7, -1, -2\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1540896\/13 or 118531?\nAnswer: 1540896\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 19  (b) 4\/3  (c) -0.5  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -258*j**2 + 4 + 5 + 1151*j**2 - 5 - 2.\nAnswer: 893*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 669527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 PM and 2:49 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -3*y + y**3 - 17 + 16 + 2*y + 0*y. Let x be 4 + -6 - (-4 + 0). Let m be t(x). Solve 2*n - 11 - 8 = -m*f, 3*n + 9 = 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -4, 13382, -36?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3 and -4*49215\/(-68)*1\/1?\nAnswer: 2895","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -26*l - 2*l**2 + 26*l - 3. Let z(p) = 4*p**2 + 7. Calculate 7*u(a) + 3*z(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2673 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -3*u - u**2 - 1 + 16 + u. Let f be x(13). Round f to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 163019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 6 + 2*h + 0)*(-3 - 3 + 4)*(1 + 2 + 3).\nAnswer: -24*h + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 5 = -2*b + 14, -3*b + 10 = -5*a. What are the prime factors of (a\/(-2))\/(2\/(-44))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1121537 is divided by 2352?\nAnswer: 1985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -75 times -3\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 311 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rfg when three letters picked without replacement from gffiffwiffffrrfig?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 32\/7 - 135\/28. Let k = 1607\/7 + -230. Sort b, -0.06, k.\nAnswer: k, b, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 163\/6771702 and -61\/41608.\nAnswer: 27086808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 17988848 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, 7, -1, 90.\nAnswer: -5, -1, 4, 7, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 3*k**2\/8 + 12573*k\/8 - 1572 = 0?\nAnswer: -4192, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -59829088*s**2 + 6812108*s wrt s.\nAnswer: -119658176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 24, -5, -34?\n\"Answer: -29*o + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3455, 4450, 5455, 6476, 7519, 8590, 9695?\nAnswer: 10840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4455 - 1522. Suppose -596 - 1753 = -4*c + r, -2*r + w = 5*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -205*b + 206. Let l(m) = -204*m + 207. Let x(i) = -4*l(i) + 3*t(i). What are the prime factors of x(3)?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100 + 100 - 46*c**2 - c - 102*c**2.\nAnswer: -148*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2607985 and 21051?\nAnswer: 23471865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + f - 6*f - 290 = 0, -2*a - 2*f = -188. Let k = a - 81. What is the remainder when 66 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -924 = -3*w + 12087. Suppose w = 4*k - 5*t, 3*k - 2796 - 423 = -3*t. List the prime factors of k.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 + 7.2. Which is the smallest value?  (a) -0.06  (b) 0.4  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 10451, 20859, 31261, 41657?\n\"Answer: -3*x**2 + 10417*x + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(1 + 1*sqrt(5) - (sqrt(5) + sqrt(5) + -1 + -5 + sqrt(5))**2).\nAnswer: -240 + 111*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1220 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 772.8455 millennia?\nAnswer: 9274146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 47205, 88673, 130139, 171603, 213065, 254525?\n\"Answer: -m**2 + 41471*m + 5735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 897638 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 3*w**2 - w + 350*w**3 + 1 + 277*w**3 + 263*w**3. Let o be i(-3). Let g be (5 - 6) + o\/1. Round g to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (23256\/285 - 81)*-5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 89029977?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 8:05 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(52\/(-54) - -1). Let d = -41\/298 + 244\/149. Which is the nearest to -2\/7?  (a) 1\/6  (b) d  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 0.18, 0, 17 in increasing order.\nAnswer: -12, 0, 0.18, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 49.836762us?\nAnswer: 0.000000000576814375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 98\/5 - (22581\/585 + -39)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.8 - -8.8. Let t = -29 - s. Let v = t + 30.5. What is v rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/216)\/((-13)\/(-39))*-2.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 3*p - 30 = 0. Let r = -14027 - -14033. Solve 39 = -r*c + p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 12  (c) 0.4  (d) 223\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6*(-2 + 17\/2). Calculate the highest common factor of 26 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152513 (base 7) in base 15?\nAnswer: 8c38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 99*u - 695. Determine r(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 25*c + 17. Let a(d) = -29*d - 18. Suppose 0 = -6*j + 62 - 20. Let k(v) = j*m(v) + 6*a(v). Determine k(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 10:59 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - q = -11000. What is q rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/10 + (-10)\/25 - 36. Let c = -33 - k. Suppose 9*d - 360 = c*d. What is the greatest common divisor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.52 + 20.68. Let s = 27 - n. Round s to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 times -15?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 4344690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9709\/(-57)*(78\/56 - 90\/40)?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2a825a (base 11) to base 3.\nAnswer: 220100201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3229.2 - -3268. Sort 3, m, 4\/3.\nAnswer: 4\/3, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dr when two letters picked without replacement from erhfrxfffrdhf?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 178729, 357399, 536069, 714739, 893409, 1072079?\n\"Answer: 178670*b + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12898244*r**4 + 22*r**3 - 340926513*r wrt r?\nAnswer: -154778928*r**2 + 132*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 13*c**2 - 7*c + 13. Determine q(2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 - 107*p**2 + 4*p - 373. Determine d(107).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-185)\/50 - 16\/20?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*j - 59 - 13. Let z be j - 2\/6*0. Sort -57, -5, z in descending order.\nAnswer: z, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*g = 5*c - 21*g - 31*g + 92, 2*g + 66 = -4*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -2*f - 13. Let g be w(-8). Suppose -s + 478 = g*h, -8*h = -3*h - 2*s - 804. Suppose h = d + 4*d. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 45\/(-9)*((-60)\/30)\/(-3 + 4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8331 - 8330.5. Which is the third smallest value?  (a) -0.6  (b) -18  (c) y  (d) -0.5  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in -1, 2\/3, -220, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*k = 9*k - 54 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -47, -72, -97, -122, -147?\n\"Answer: -25*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**2 + g + 3. Let p be c(0). Let d = 0 + p. Solve -5*j = -d - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (14\/(-1))\/((2916\/135)\/108)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.54 - -1.7. Let n = x - -0.44. What is the biggest value in 2, -4, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2 + 2*k - 5. Calculate j(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/3 + (-32)\/(-6). Let h be 69 - (o*-1 - -2). Calculate the remainder when h*1 - (14 - 16) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7*238\/98 - -1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from {w: 1, a: 4, e: 7, z: 2, h: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 3*k**2. Let r(z) = 300*z**2 + 5*z + 1. Calculate r(p(u)).\nAnswer: 2700*u**4 + 15*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 503, 504, 505, 506?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7228*o - 702 = -7246*o. Solve -117 + 0 = -o*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = -77*j + 76*j - 3*k, 2*k = 3*j - 258. What is the greatest common factor of 532 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 3)*(1 - 2 - 2)*(1 - 2*c**3 - 1)*(2*c - 2*c + 2*c).\nAnswer: 24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3099240 rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/360 and -17\/2586555.\nAnswer: 20692440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 238 divide 3730174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k - 2*k - 5*f - 2 = 0, -6 = -2*k - f. Suppose -x - k = 0, b - 3*x - 47 = -0*x. Let y = b + -32. Solve -2*q - y = 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 54976 and 2.\nAnswer: 54976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -5*t - 71, -4*h - t + 4*t = -102. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13, -156, -507, -1168, -2241, -3828, -6031?\nAnswer: -8952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 - 17 - (3 - 4).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15029*n + 15029*n + 1035*n**2.\nAnswer: 1035*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -6 + 84\/16 + (-1551)\/(-4).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of 0*m**2 + 0*m - 2 - 1\/27*m**6 + 1\/18*m**4 + 0*m**5 + 0*m**3. Factor l(g).\nAnswer: -2*g**3*(g - 1)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-2\/5)*k)**0\/(k**(-2))**19)\/((k\/(k*k**(-8)))\/(k**(-2\/13)\/k)*(k*k*k*k**1*k*k)**45) assuming k is positive.\nAnswer: k**(-3135\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -619*r**2 + 65*r**2 - 98*r**2.\nAnswer: -652*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of -1\/32*z**4 - 17*z**2 + 0*z + 1\/160*z**5 + 0*z**3 + 0. Suppose o(x) = 0. Calculate x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:46 AM and 11:29 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13857 and 2511?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 221.5*159.\nAnswer: 35218.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 6275844 (base 9) to base 4\nAnswer: 30303211030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in -1.1, -0.2, -4\/3, 0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -47 - -36. Let k = 9 + -8.5. Which is the smallest value?  (a) k  (b) y  (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 720 is divided by 81?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 + 7*h**2 + 5*h + 6. Let b be t(-4). Let i = b + -13. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -28, 0.3, 4, -82 in decreasing order.\nAnswer: 4, 0.3, -28, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112001 + -2011202000?\nAnswer: -2011012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*i - 3*i + 342 = 2*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -2*z + 19, -5*o + 29 + 0 = 2*z. Calculate the remainder when 43 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1260.579 - -3.531. Let g = s + -1248. Let l = 16 - g. Is 3 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -2*u**3 + 2*u**2 - u. Let s(i) = -85*i**3 + 185*i**2 - 50*i - 60. Let j(r) = -10*f(r) + s(r). Factor j(x).\nAnswer: -5*(x - 2)*(x - 1)*(13*x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 + 413*d + 7482. What is w(-17)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15378 is divided by 1019?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-129258)\/(-1336)*(-56)\/(-126).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5.0149 - -8183183174.\nAnswer: 8183183179.0149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4.88 + 0.12. Let s = 0 - 0.1. Let r = -0.3 + s. Which is the smallest value?  (a) r  (b) u  (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1311420 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5979, 48102, 162441, 385104, 752199, 1299834, 2064117?\n\"Answer: 6018*v**3 - 3*v - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*i**5 + 6*i**4 - 16*i**3 - 48*i**2 + 32*i + 96 = 0. What is i?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1437.942t to micrograms.\nAnswer: 1437942000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 155374*j**2 + 3*j + 4. Let h be q(4). Suppose -h = 17*x + 3*x. What is x rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (2 + 0) - 10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -7*b**2 - 22 - 7*b - b**2 + 9*b**2. Let v be w(12). Let d = v + 29. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -2*sqrt(7))**2 + 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3) - sqrt(6)\/sqrt(2) - sqrt(3))*5 + sqrt(3))*5 + sqrt(36)\/(-4*sqrt(72)\/sqrt(6)).\nAnswer: -81*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 212618?\nAnswer: 2, 7, 15187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 920*j**2 - 692*j?\nAnswer: 1840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 16 = -2*q, 3*q + 0*q + 2 = -2*c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-6)\/(-10))\/(1\/5). Suppose 0 = -21*j + 36 + 27. Find the second derivative of -4*k + k - 13*k**s + 0*k**j wrt k.\nAnswer: -78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by 39?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1486595 to the nearest integer?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -317, -1245, -2785, -4937, -7701?\n\"Answer: -306*u**2 - 10*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -423 + 2?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 - 10.2. Suppose 2*i + 4 = 3*i. Let u be i\/(-6)*6\/(-10). Sort u, m, 0 in descending order.\nAnswer: u, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g - 126 = -2*g. Let y = g + 20. Solve y*r + 4 = 2*x, 2*x + 3*r + 17 = 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ztxtdx. Give prob of picking 1 t and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -232 - -243. Suppose -3*y = y - 560. What is the remainder when y is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -24*y**2 - 95*y**4 + 383*y**4 - 113*y + 24*y**2 - 142*y wrt y?\nAnswer: 3456*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m, 1 a, and 1 q when four letters picked without replacement from {q: 6, a: 5, m: 2}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16 + 14.69. Let d = 3.69 - r. Let p be 6\/36 + 3\/(-9). Which is the second smallest value?  (a) d  (b) p  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 228728112 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 310441 (base 5) to base 9\nAnswer: 14785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(-1)*6\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/(-72))\/((-2)\/(-4)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 2)*(-2*z**4 + 0*z**4 + 0*z**4) - 3919 + 3919 - 74*z**4 + z**4 - 5*z - 4*z**4 + 5*z**4.\nAnswer: -74*z**4 - 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:52 PM and 3:48 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.4  (b) -1\/11  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + a + 3*w = -21, 0 = -3*a - 2*w + 41. Suppose a = 2*n - 71. Suppose 0 = 2*s, 0*s - 4*s + 55 = 5*r. Calculate the remainder when n is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -86 - -182. Suppose -u = -8*g + 304. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h**3 + 22600*h**2 + 29655040*h + 8891924480 = 0. Calculate h.\nAnswer: -2048, -424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p**2 + 9*p**2 + 10*p**2)*(-4*p + 456 - 456) - p**3 + 0*p**2 + 0*p**2.\nAnswer: -93*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 3*g**4\/8 + 21*g**3\/8 - 3*g**2\/8 - 21*g\/8 = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -46*r - 2314. What is f(-51)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -136, -3185.9, 0.2?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11150\/(-3345))\/((-2)\/9).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 40768 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(-95) + ((-13195)\/(-1976) - 6).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 2 - 10. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -148, -156, -168, -184, -204?\n\"Answer: -2*j**2 - 2*j - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4\/49 + 261\/196. Is l not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -165*g - 1064 = 204*g - 407*g for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4220 + 12?\nAnswer: -4203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -503?\nAnswer: -3\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.26 + -0.06. Let y = 0.029 - -36.471. Let g = 40.5 - y. What is the biggest value in m, 1\/3, g, 0.03?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/9 - (-51)\/108. Let f = 624.327 + -624. Let x = 0.827 - f. What is the closest to -1 in -3\/11, u, x?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.12 + 0.05. What is c rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.851872 rounded to two decimal places?\nAnswer: -3.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -103*h**2 - 11*h + 100. Let z(a) = 102*a**2 + 10*a - 94. Determine -12*r(q) - 13*z(q).\nAnswer: -90*q**2 + 2*q + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -24*o**2 + 4800*o - 33. Determine g(200).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/2?  (a) -801  (b) 5  (c) 463\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -12\/7  (b) -19  (c) -5\/4  (d) -9  (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - 3*v**2 + 3*v - 3. Let m be u(2). Let z = 5 - 2. Sort -4, z, m in descending order.\nAnswer: z, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 + 267?\nAnswer: 26b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*g = 19*g - 8. Let f be ((-64)\/(-10) - g) + (-34)\/85. Solve 5*y = 20, 2 = -q + f*y - 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 10582228 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 19652348 or 0?\nAnswer: 19652348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**14)**(-16)\/((z*z**2\/z*z)\/z*z**14) assuming z is positive.\nAnswer: z**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1025, 8320, 28163, 66836, 130621, 225800, 358655, 535468?\n\"Answer: 1047*b**3 - 8*b**2 - 10*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -3*l + 2*c - 7*c, 5 = 3*l + c. Suppose l*q - 7*q + 4 = 0. Let f = -200 + 198. Put q, f, -4 in descending order.\nAnswer: q, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s = -59 + 71. What is the remainder when ((-102)\/s)\/(4\/(-48)) is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 2*p = 188, 0*p = 5*p + 25. Suppose -6*o + o + 352 = 4*q, 0 = -q - 4*o + u. Is 18 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.56257 millilitres to litres.\nAnswer: 0.00056257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 4*s + 325 - 2181, -3*s - 2304 = -5*n. Suppose 0*h + 3*i = -3*h + n, -3*h + i = -474. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(4\/7)\/(i**8\/i)*i**6*i\/(i**(-12)\/i*i))**(-19\/3) assuming i is positive.\nAnswer: i**(-1672\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -11221504 - -14?\nAnswer: -11221470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 42839 - 26954. What is the highest common factor of 45 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -73*g + 78*g - 323, -131 = -2*g + q. Calculate the least common multiple of g and 40.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24 and 4308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4621667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 68 + -73. Which is the biggest value?  (a) -3  (b) -2\/5  (c) j  (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 c when three letters picked without replacement from {o: 7, z: 1, d: 4, c: 6, i: 2}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1577, -29, -3 in descending order.\nAnswer: -3, -29, -1577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.6, 4.47, -5, -0.4, 1, -0.1.\nAnswer: -5, -0.4, -0.1, 0.6, 1, 4.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence avv when three letters picked without replacement from {v: 4, i: 5, z: 1, f: 3, a: 3, x: 1}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -62 - (-28 - 63) - 70?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a**(-2)\/a))**(-2\/19)*(a\/((a\/(a\/(a\/(a\/a**2))))\/a))**(1\/6) assuming a is positive.\nAnswer: a**(-8\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 2*r + 2. Let q = 2 - r. What is the second smallest value in q, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*i**2 - 33 + 33)*(3*i - 5*i + 4*i).\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 - 9303 + 9303. Let w(s) = -9*s**2 - 56*s. Let t(r) = 5*j(r) + w(r). What is d in t(d) = 0?\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 31 + 20. What is the remainder when t is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 225a2 + 60?\nAnswer: 22612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the second derivative of u**6\/60 + 37*u**3\/6 + 23*u. Let p(k) be the second derivative of s(k). Let z(a) = -3*a. Determine p(z(d)).\nAnswer: 54*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11638484 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2732 - -2825. Calculate the remainder when 296 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 135 = 31*h. Let y be (-2)\/(-7) + (-60)\/455. Which is the closest to -1?  (a) h  (b) -2\/81  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -873, -3443, -7711, -13677, -21341, -30703, -41763?\nAnswer: -54521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = p + 6, 4*d - 3*p = -p + 16. Suppose -d*n + 5 = 3*s - 0, -3*s = -4*n + 19. Suppose 9*l - n*l = -2*v + 5533, 0 = 3*v + 5*l - 8292. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -522, -502, -482, -462, -442?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -2*j + 4*j - 1347, 4*i - 1819 = 5*j. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3630, -3739, -3848, -3957, -4066?\nAnswer: -4175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**0)**(-11\/6)\/(l*l*l**(-3\/5)*l*l**(-2)\/l)*((l\/(l*l**2))**22)**(-20) assuming l is positive.\nAnswer: l**(4403\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -4*p + 22. Suppose -x + p = 4*o, 0*o = 4*o + 2*x - 12. Suppose -2*f + 18 = c - 10, -3*c = f - 9. Solve o*n + 5 = f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**0\/k*k\/(k**(3\/4)*k)*k**(-4)*k**2 assuming k is positive.\nAnswer: k**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*x = -s + 5*x - 23, 4*x = -s + 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (54\/54*(-8)\/24)\/11.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**4\/21 + 4*h**3\/21 - 4*h\/21 - 2\/21.\nAnswer: 2*(h - 1)*(h + 1)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 115*l**2 - 399*l + 91. Is w(34) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-3)\/6)\/((-3)\/18))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 2*g = -3, 4*h - 2*g - 1 = -3. Let z be (-6)\/(-3) + h*(-27 - -5). Round z to 0 dps.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 222372.\nAnswer: 2, 3, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a + 5. Let z be -1 - -1*(1 + 4). Let l(y) = -85 + 29 + 30 + 27. Determine z*l(w) - h(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times -19918277?\nAnswer: -3983655.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1235)\/(-15) + 4\/6. Let t = p - -13. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 3*b - 59 = 0, -p = 2*b - b + 27. Let g = p - -24. Is 17 a factor of g*68\/(-4) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of -o**5\/60 + o**4\/6 - o**3\/3 + 9*o**2. Let b = 18 - 13. Suppose 0 = -y - b, 0 = h - 3*y - 19. Give f(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 669*n - 16. Is z(29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 - 3. Suppose -2*t = -4*t - k + 8, -3*t - x*k + 19 = 0. Suppose -t*m + 495 = -4*z, 3*m + z - 177 = 333. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-2)*n)**(3\/14)*(n**(-2\/9)*n)\/(n\/(n*n*n*n\/(n\/((((n**(-2)\/n)\/n)\/n)\/n))*n)) assuming n is positive.\nAnswer: n**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*s = -92*s - 6*k - 20, 4*s + 4 = -4*k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(34)\/(-5*(sqrt(18) + sqrt(2))) - ((sqrt(153) - (6*(sqrt(153) + 1))**2) + sqrt(153)))*-1.\nAnswer: -5544 - 4199*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 - 12 - 12 + c**2 - c + 20. Let h(a) = a**3 - 3*a**2 + 4*a - 2. Let n be h(2). What is the least common multiple of w(n) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2 - 5*b**2 + 18 + 0.\nAnswer: -5*(b - 2)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -8704, -4, -3, -10.\nAnswer: -8704, -10, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 66\/12*(-91)\/((-38038)\/1140)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 26249324 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -129*d - 717 - 4683 - 147 = -0 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 7*f - 158. Let g(n) = 82*n - 1738. Give 69*a(d) - 6*g(d).\nAnswer: -9*d - 474","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m - 1. Suppose f - 9 = -0*f. Let r be ((-18)\/(-7))\/(f\/42). Suppose -6*u = -2*u + r. Calculate n(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 1065*v**2. Let j(l) = 44514*l. What is j(k(y))?\nAnswer: 47407410*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1124*4937.\nAnswer: 5549188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 - 4*o**2 + 5*o. Let h be c(-5). Suppose -d - 2*d + 111 = h. Let k = 58 - d. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6801, 6806, 6811, 6816, 6821, 6826?\nAnswer: 6831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*o = -5*o - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-12)\/24)\/(-1 - (-9)\/6). Let l(m) = 1022*m**2 - 11*m - 11. What is the tens digit of l(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r**(6\/5)*r)*r*r**(-1\/4)\/r*(r*(r\/r**(-1)*r)\/r*r*r)**16)\/((r**(2\/3)\/r)**(-6\/23)\/(r**(2\/5))**(-44)) assuming r is positive.\nAnswer: r**(27997\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -474014616*t**3 - 124321130*t wrt t.\nAnswer: -2844087696*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -18, 12, 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -47140 or -47229?\nAnswer: -47140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 132016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/(-6)*(2 + 4). Suppose s - 4 - a = 0. Suppose -s*v = -9*v - 2. Solve 4 - 2 = -v*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 2 + 7. Let a(h) = 3*h**2 - 3. Let y be a(-2). Calculate the remainder when 83 is divided by (28\/f)\/(y\/27).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, r: 1, s: 2, b: 1}. Give prob of sequence bs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 68\/3 + -343\/15. Which is the nearest to -1?  (a) 0.01  (b) -5\/3  (c) -13  (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(4\/11)*(s\/(s*s\/s**35))\/s*s**36\/((s\/s**(-26))\/s) assuming s is positive.\nAnswer: s**(477\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3903*v**2 - 52*v - 15.\nAnswer: -7806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5, 6, 347859, 2 in decreasing order.\nAnswer: 347859, 6, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -968 (base 13) in base 8?\nAnswer: -3107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = f, y + 3*f = -2*y + 54. Let r = 4 + y. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -9 + (2 - 0 - 1). Let t = 38828.5 - 38828. Which is the closest to 2\/5?  (a) g  (b) -4  (c) 0.4  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 915 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2 - 2*m - 3. Let d(w) = w**2 + 6*w - 6. Let o(l) = -2*l**2 - 11*l + 11. Let f(a) = 11*d(a) + 6*o(a). Determine b(s) - 2*f(s).\nAnswer: s**2 - 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1458970569 a multiple of 1739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 45044504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) - sqrt(27))**2 + 0 + 3 + (sqrt(3)*1)**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10304 divided by 64?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2628769139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*x - 5*x + x)*(0*x - 2498 - 200*x + 2495) - 59*x**2 - 118*x**2 - 36*x**2 in the form p*x**2 + t + h*x and give p.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6587 is divided by 265?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of -5\/6*d**3 + 0*d + 0 + 1\/20*d**6 + 16*d**2 + 0*d**4 + 1\/15*d**5. Let j(w) = 5*w**3 + 3*w**2 - 4. Give -4*j(b) + 3*m(b).\nAnswer: -2*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -41 + 1021?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -68807, -68815, -68825, -68837, -68851, -68867, -68885?\n\"Answer: -o**2 - 5*o - 68801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6686400 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3 + 1 - 1)*(-n**3 + 3*n**3 - n**3) - 2*n + 2*n + n**3)*(-11 + 11 + 6*n) in the form u*n**3 + m + d*n**4 + k*n**2 + t*n and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of 0*y - 3\/32*y**4 + 1\/40*y**5 + 1\/8*y**3 - 1\/16*y**2 + 35. Let d(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the second derivative of k**7\/1260 - k**6\/720 - k**5\/30 + k**4\/3 - 5*k**3\/6 - 10*k. Let p(m) be the third derivative of n(m). What is p(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6799.1616 rounded to zero dps?\nAnswer: -6799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*y + 18*y + 3. Let j(w) = 24*w + 8. Is j(y) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5768549, 11537107, 17305681, 23074271, 28842877?\nAnswer: 34611499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 times 27242564?\nAnswer: -163455384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -4*q - q - 21, t = -q + 3. Suppose -3*k = -6, -c - t*k + 10 = -3. Suppose -3*u = -c*x + 11, -x + 5 = -6*x - 5*u. Solve w - 6 = -x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 702294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -14*c**2 + 11 - 22 - 15 - 3*c. Let x(f) = 5*f**2 + f + 9. Let g(j) = -4*b(j) - 11*x(j). What are the prime factors of g(5)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*b + 793 = 77*b. Solve -b*o - 16 = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(37\/((-666)\/(-24)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3861918142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 - (-19 + 13) - 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -593.7 and 2294?\nAnswer: -1361947.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 29892, 29886, 29878, 29868, 29856, 29842, 29826?\n\"Answer: -m**2 - 3*m + 29896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14 - -68\/5. Let u = 2727 - 2646.65. Let f = -80.4 + u. What is the closest to f in 0.4, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 329199283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 - 31*t**2 + 71*t + 159. Give h(-33).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.0080964350958 and -0.2.\nAnswer: -0.1919035649042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3947 or -3954?\nAnswer: -3954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16304 + 23857. What are the prime factors of z?\nAnswer: 7, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**2 - 6*b - 6. Suppose 4*n = -n + 50. Let j be (-2)\/n + (-19)\/5. Let c be a(j). Solve 3*g - c - 3 = w, 3*w - 13 = -5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 - 3 + 6)*(-54*m + 46*m**3 + 88*m**3 + 54*m) to the form t*m + n*m**3 + x*m**2 + f and give n.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 3*r = 170. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110010 (base 2) in base 4?\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2262070173?\nAnswer: 3, 11, 6389, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve i**2\/5 + 381999*i\/5 + 687582 = 0.\nAnswer: -381990, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 2*f**2. Let n(k) = 9 - 62*k - 5 - 15 + 1 + 9. Determine n(s(o)).\nAnswer: -124*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 8*h**4\/7 + 50*h**3\/7 + 108*h**2\/7 + 88*h\/7 + 16\/7 = 0. What is h?\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 3*o. Let u be c(-1). Let s(v) be the third derivative of v**5\/60 - v**4\/24 + v**3\/3 - 12*v**2 - 2783*v. What is s(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -14*h + 44. Let y be n(2). Suppose -107 = -5*g - f, -2*g + y*f + 32 = 11*f. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 333 in descending order.\nAnswer: 333, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -116*a**3 + 58*a**3 - 14*a + 60*a**3 + a**2 as l*a + c*a**3 + j + b*a**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 732285210 to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -183\/575 - -11\/23. Let h = -30277\/168 + 1441\/8. Which is the smallest value?  (a) h  (b) 3\/7  (c) x  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*g + 2*w, 23*w + 6 = -2*g + 27*w. Sort -17, g, -5 in ascending order.\nAnswer: -17, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -26569, 0.1, -7 in descending order.\nAnswer: 0.1, -7, -26569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 25 = 45, 50544 = 4*m + 4*r. Calculate the highest common divisor of m and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*b + 337*b**2 - 1277 - 338*b**2 + 1317.\nAnswer: -(b - 4)*(b + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1814909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**2. Let a(j) = j**2 + 9*j - 5. Let n(i) = -i**3 + 8*i**2 - 7*i - 10. Let g be n(7). Let u be a(g). Let l(o) = 4*o**2 + o + u*o - 6*o. Give l(f(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 24 = 8. Suppose b = c - 0*c. Solve -3*q = q + c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11953136459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the first derivative of -11*k**6\/2 + 6*k**3 + k - 34. What is the third derivative of i(t) wrt t?\nAnswer: -1980*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*p**2 + 9 - 9)*(-1 - 18 + 2).\nAnswer: 85*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r = -q + 5, -32*r + 29*r = 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 92, 98, 102, 98, 80?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*i**2 + 0)*(i + 4*i - 3*i + (-4*i - i - 9*i)*(2 - 4 + 0)).\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 635600935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hgg when three letters picked without replacement from gkkhkggkeh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 - 9*n - 4. Let t = -3 - 5. Let h be p(t). Solve h*k + 19 = 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 5*h - 15 = 2*y, -y = -3*h - 1. Let u be (1 + 5\/y)*-32. What is the greatest common divisor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 14 = 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -305316713\/18 + 16957643. Let v = u - -4398. Find the common denominator of v and (-62)\/20 - (-4 - -3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/3584 and -7\/42080?\nAnswer: 4712960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 56 = 11*z. Suppose -5 = f - z. Solve 0 = -f*s - 6 - 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 4*l**2 + 63*l + 30. Let p be g(-21). Find the first derivative of -68 + 553*b**4 + 28 - p*b**4 wrt b.\nAnswer: 328*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -509.829669 to the nearest ten.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, v: 8}. Give prob of sequence vkkv.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zxx when three letters picked without replacement from exxzhezehhnlnzenh.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 56 or 1727.92?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -0.02, -2\/7, -290.\nAnswer: -290, -2\/7, -0.02, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(2\/3)*a**(-4)*a*(a\/a**6)\/a**(-1\/5)*(a\/(a\/a**0)*a*a)**(-41)\/(a*a\/(a*a**(-2\/7)*a*a))**35 assuming a is positive.\nAnswer: a**(-962\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1483*4\/(-4)*1. Suppose k - 823 - 173 = -2*x, 3*x = 4*k + r. List the prime factors of x.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 + 10. Let k be (2\/6)\/(p\/3). What is the biggest value in 0.1, -2\/3, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63554 + 8*z - 63506 - 5*z.\nAnswer: 3*z + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -5960, -5947, -5932, -5915, -5896, -5875, -5852?\n\"Answer: n**2 + 10*n - 5971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -273*y. Let r(f) = -13*f. Let c(b) = 5*n(b) - 104*r(b). Let l be ((-3)\/1)\/3 - -3. Let x(t) = 2 - 2 + 119*t**2 - 117*t**l. Calculate x(c(p)).\nAnswer: 338*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4708 and 642?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 11) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -10*p**2 - 6. Let n(m) be the second derivative of 0*m**2 - 111*m + 0 - 1\/3*m**3. Calculate t(n(b)).\nAnswer: -40*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (46 + 3)\/(-1 + 0). Let l = b + 52. Suppose -4 + 10 = l*q. Solve -h = q*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12432030 (base 7) in base 16?\nAnswer: 114d9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 151\/41286 and 1\/108.\nAnswer: 743148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-196)\/4 + (-99008)\/(-2016)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 30 in 3, -17, -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n = -2*n + 2*v - 101, 0 = 3*v + 6. Solve 3*k = n - 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -26*w - 17*w + 43. Solve -5*k = 5, -2*f - 1 = -2*k + w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 4*d**3 + 24*d**2 + 3*d - 5. Let f(p) = p**3 + 8*p**2 - 2. Let q(h) = 7*f(h) - 2*x(h). Calculate q(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 11) + 2 - (-3 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllsxxseml. Give prob of picking 1 x, 2 l, and 1 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2447*b**3 + 863*b**2?\nAnswer: 14682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -x + b + 53, 2*x - 5*b = 41. Let n = x - 18. Suppose 5*i - 70 - n = 0. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1159*u**2 + 590*u**2 + 600*u**2.\nAnswer: 31*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(52)*-2 + ((-2*sqrt(156))\/sqrt(3) - sqrt(52)))*5)\/((sqrt(700) + sqrt(28))\/sqrt(7) + sqrt(484)*-1).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6925639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, 84, -2, -134, -31 in descending order.\nAnswer: 84, -2, -3, -5, -31, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 13 from 4241.\nAnswer: 4228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12.7 + -12. Let t = m + -0.2. Let h = -167 - -165. Which is the biggest value?  (a) h  (b) 0  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1\/40 + 11\/360. Let t = 2\/9 - p. Which is the closest to 0.2?  (a) t  (b) -9  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = 14*h - 333 + 322 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -4*t - 9. Give a(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.691769 - 0.6846. Round v to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-1)\/(-2)*(-5)\/(720\/(-1812)) and 11\/774?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z, 1 i, and 1 p when four letters picked without replacement from wzppizzwzippizzwzzzi?\nAnswer: 192\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -21, -4, 5 in decreasing order.\nAnswer: 5, -4, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -2*n + 5. Let j(p) = -p + 1. Let s(l) = -c(l) + 4*j(l). What is the remainder when 42 is divided by s(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -8*d + 5 - 7 - 5 + d**2. Let t(x) = -x**2 + 7*x + 6. Suppose 3*g = g + 14. Determine g*t(k) + 6*r(k).\nAnswer: -k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 178710 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -346568*s + 346568*s + 767*s**2.\nAnswer: 767*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-20)\/(-6))\/((-10)\/(-15)). Let l = m + 39. Let y = -801 + 823. What is the highest common divisor of l and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -24 - 36515?\nAnswer: -36542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*f**3 + 94*f**3 - f**2 + 938*f**4 - 939*f**4 - 7 + 2*f**2 + 2*f as n + s*f**4 + t*f**2 + r*f**3 + o*f and give r.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v + 1. Let w(m) be the third derivative of -m**4\/12 - m**3\/6 + 15*m**2. Give -6*u(p) - 7*w(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the first derivative of -y**2\/2 + 3*y + 5. What is b(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5493753 and -1.\nAnswer: -5493753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -258, -968, -2134, -3756, -5834?\n\"Answer: -228*t**2 - 26*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(-2\/11))\/z*z**(2\/5)*z*(z*(z*z*z**1)\/z)**46)**(-17) assuming z is positive.\nAnswer: z**(-130509\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the first derivative of -2*l**3\/3 + l**2 + 8*l - 2377. Let r(b) = b**3 + 4*b**2 - 2*b - 4. Let d be r(-4). Calculate u(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -0.019, 5 in increasing order.\nAnswer: -3, -0.019, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02200520548 to four dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*k + 35250 = 10365. Is 79 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7213189100 rounded to the nearest one million?\nAnswer: -7213000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2729906757 to the nearest integer?\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*x + 4*x - 7*x)*(x + 8*x - 4*x) - 11 - 6*x**2 + 11 - x + 2*x**2 - 4*x**2 + 4*x**2 as a + n*x**2 + k*x and give n.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 12) to base 4\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 2*q**2 - 39*q + 76. Calculate the remainder when 263 is divided by f(18).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 9 = -4*n, -4*g + 10 = -3*n + 5*n. Suppose n*k - 250 = k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((384\/(-156))\/8)\/(48\/(-120))?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*t + 3*t + 27*a - 34 = 80, -a = 4*t + 23 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*(o\/o**(2\/3))\/o)\/(o*(o\/(o**(-1\/2)\/o))\/o))\/(o\/(o**(-6)*o)*o*o*o**(2\/3))*((o**8*o)\/o*o*o*o**(1\/17)*o*o)**35 assuming o is positive.\nAnswer: o**(41945\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -51*s**2 + 1009*s + 12. Let a(k) = 8*k**2 - 167*k - 2. Calculate 13*a(o) + 2*i(o).\nAnswer: 2*o**2 - 153*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34\/51*1*1\/(-3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 + 0. Let b be 9\/((-9)\/4) + 8 - 2. What is the second derivative of b*k + q*k + k**2 - k - k wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 12774368 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {o: 1, v: 1, p: 2, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4 - 52\/(-14)) + 6\/21. Solve j = -5*l - 21 + 46 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 7 - 63?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8979\/4 + -2257. Let r = -16632504613\/46 - -361610139. Let k = r - 33954. Find the common denominator of c and k.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 10:22 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**3 + k**2 + 2. Suppose 9*a + 190 = 28*a. What is the smallest common multiple of a and l(-2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -3*z - 4*o, -5*z = -2*o - 4 + 13. Let h(l) = 3*l**2 + 2*l - 5. What is the remainder when 79 is divided by h(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((q**(2\/5)*q)\/q)\/q*q)\/q**5)**(-45))**(-2\/61) assuming q is positive.\nAnswer: q**(-414\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.59 + 0.5. Let u = -0.89 - l. Let p = u - -0.94. Round p to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 499.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 16) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-36) - 20*8\/288?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003922860251 to four dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*(-2)\/(-4)*0. Let y = 11 - r. What is the lowest common multiple of 9 and y?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -4\/7, -46408?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jffjffafjffl. What is prob of picking 1 j and 1 f?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -3*q**2 - 30*q - 156. Determine f(-2).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -27, 77 in ascending order.\nAnswer: -27, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 + -7. Suppose t = 13 + m. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**3 + 0*r**3 + 0*r**3 + 2*r - 2*r - 2*r**3 + (1 - 1 + 2*r)*(r - r - r**2) - 2*r**3 + 0*r**3 + r**3 + (-5 + 9*r + 5)*(0*r**2 + r**2 - 3*r**2).\nAnswer: -21*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**2*n)\/(n**3*n))\/(n**(-14)\/(n**(-5\/3)*n)) assuming n is positive.\nAnswer: n**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - ((24725\/(-86))\/(-115) - 101\/(-6))?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84*h - 85*h = -2. Suppose -h = -t - 0, t + 793 = 3*m. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + 787?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 - (24\/4)\/2. Which is the nearest to 13?  (a) s  (b) -2\/13  (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76)\/sqrt(4) + -5 - sqrt(19)) + (1*(sqrt(19) - sqrt(19)*1))**2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, 102, 0.6, -0.6, -5, -12 in decreasing order.\nAnswer: 102, 0.6, 1\/4, -0.6, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 206\/11, -4, 2\/333, -6?\nAnswer: 2\/333","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 37302.59 rounded to the nearest one thousand?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 287 = 3*q - 43. What is the greatest common factor of 22 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/(-4)*16\/(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -622.85323 - -622.9. Round z to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1459 + -1447. What is the highest common divisor of v and 258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -534*v - 3222*v - 440*v.\nAnswer: -4196*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3064331 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - (-1 + 3)) + 17 + -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 + 2*h - 2. Let i be t(2). What is the second smallest value in i, 4, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 1326*d**2. Let m(g) = -13*g**2. Calculate m(c(a)).\nAnswer: -22857588*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 36\/7 + -670\/133. Let k = 2\/207 - -65\/414. Let t = 79\/3 - 799\/30. What is the nearest to t in p, -4, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (61 - 50 + 60 + 199)*(3*b + 0*b - 4*b - 1 + 2*b + 1 + (-2 - 2 + 3)*(-3 + 3 - b) - b + 4*b - 2*b).\nAnswer: 810*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2722 is divided by 91?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**2 - 173*u + 5902. Give r(29).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.13 - -14964\nAnswer: 14963.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -221 + 10?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pls when three letters picked without replacement from pspjl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -3438*p**2 - 17193*p - 10. Determine l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5492, -2.\nAnswer: -2, 3, 5492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133429 is divided by 1308?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 832 = 2*r - 3*q, -3*r + q + 574 = -667. Suppose -9*f = -r + 134. Calculate the remainder when f is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10902 by -655.\nAnswer: 10902\/655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-4\/3))**1*n*n**(2\/17)\/n*n*(n**(-1\/9)\/n*n)\/n assuming n is positive.\nAnswer: n**(-203\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 3*a - 0*a - 6, 0 = 3*f + 3*a - 18. Suppose -4*w = -j - 2*w - 88, -f*j + 2*w = 340. Which is smaller: j or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -1\/920 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*s - 7*s. Let g = -2 + 5. Let v be g + (-3 + 2 - -3). What is the smallest value in 3, v, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zqrqqpqqwrpp. Give prob of picking 2 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23048*f**2 + 23043*f**2 - 46089*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + (-2 - (-8 + 9))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 AM and 1:34 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-40)\/(-14) + (5 - (-42)\/(-6))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(429)\/sqrt(176))\/(-4*sqrt(9)\/sqrt(3)))**2*-1 - (-4 + (sqrt(1872) + -1)*5 + sqrt(1872) + 2)**2.\nAnswer: -17264909\/256 + 1008*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128 = 6*o - 3*o - 2*n, -3*o + 5*n + 140 = 0. What is the lowest common multiple of o and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 4*b**4 + 116*b**3 + 2*b**2 + 111. Let z(j) = 2*j**4 + 59*j**3 + j**2 + 56. Let t(x) = 3*a(x) - 5*z(x). What is the third derivative of t(l) wrt l?\nAnswer: 48*l + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 271725549 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -78 - 312. Let z = 1343 + q. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-143 + 243 - 144)*(-6*a + 6*a + 4*a**2).\nAnswer: -176*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y - 2*x + 5*x + 60, -4*x = 0. Suppose 5*h - 51 - 83 = 3*r, -10 = -5*r. Calculate the remainder when h is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 18626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m\/(m**(1\/54)\/m))\/(m**(-4)*m) assuming m is positive.\nAnswer: m**(377\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 21*f**4\/4 - 448995*f**3\/8 - 1637169*f**2\/8 + 2638857*f\/2 - 1203075\/2 = 0.\nAnswer: -50\/7, 1\/2, 3, 10694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -154c86 - 15?\nAnswer: -154c9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 + 5*u + 5. Let k be h(6). Let v = k + 6. Find the third derivative of 112*p**v + p**2 - 112*p**5 + 7*p**6 wrt p.\nAnswer: 840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 21686.8 and 3.79?\nAnswer: 82192.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1482442902007 - -5.\nAnswer: -1482442902002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 13953, 13961, 13973, 13989?\n\"Answer: 2*m**2 + 2*m + 13949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 4.5, 2\/5 in increasing order.\nAnswer: 2\/5, 2, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*z**3 - 538*z**2 + 1054*z**2 + 31*z - 2*z**3 - 526*z**2 wrt z.\nAnswer: -30*z - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.2 - 0.2. Let d = 22.1 + -22.4. Let k be (-8)\/12*6\/14. Which is the biggest value?  (a) k  (b) d  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cccnhchhcccccccnnncc. Give prob of sequence ncn.\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 1 g when three letters picked without replacement from {b: 1, c: 3, y: 2, g: 3, t: 1}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 4. Let n(u) = 5*u**2 - u**2 - 3*u**y. Let v(t) = -t**2 + 3*t. Let r(x) = -3*x**2 + 8*x. Let p(o) = -3*r(o) + 8*v(o). Give n(p(h)).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (34\/12)\/(7599\/596)*(-2)\/(-1).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.015 + -0.755. Let g = u + -1.26. Let t = 0.05 - 0.13. Which is the second smallest value?  (a) t  (b) -5  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 817 - -1097. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-144)\/(-2160))\/(12\/(-330)).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*3 + -1 + 14. What is the units digit of x\/(-3)*3\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + -42683?\nAnswer: -42688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 3*y = 65, 3*o + 31*y = 34*y + 90. Solve -14*a - 95 + o = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/(j*j**(1\/3))*j)**(-2\/35)*((j**(-1)*j)\/j*j)**(-10) assuming j is positive.\nAnswer: j**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -12*3754\nAnswer: -45048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**3 + 109*b**2 - 421*b + 132. Determine j(105).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73368 is divided by 332.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1701 - -3405\/2. Put 7, 0.1, -3, l in increasing order.\nAnswer: -3, 0.1, l, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 - (-254 - -272 - (1 + 40))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-3\/5)*h*h**(-1\/10)*h*h**(-9)\/h*h*h*h**(-2\/13)*h assuming h is positive.\nAnswer: h**(-761\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 616915719 by -1.\nAnswer: -616915719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2140.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of 5*s**2 - 5 - 4*s**2 + s**2 + 2. Let c(t) be the first derivative of -t**2 + 23. Calculate c(i(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i**3 - 11871866*i**2 - 23743736*i = 0. What is i?\nAnswer: -2, 0, 11871868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2321131012 (base 4) to base 12\nAnswer: 30771a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36)\/(2*sqrt(2)) + (sqrt(162) - sqrt(162)*-3) + 2)**2.\nAnswer: 150*sqrt(2) + 5633\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13141 is divided by 947?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, x: 1, t: 1, f: 1, q: 2, a: 7}. What is prob of picking 1 l and 1 t?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10597745*k**2 + 9147221*k wrt k?\nAnswer: -21195490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (10 - (12 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2.285*2.2\nAnswer: 5.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 91 + 5 = 0. What is the common denominator of (-169)\/(-12) + 1\/(-4) and (-4)\/i*(-27)\/8?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 244*r - 249*r + j + 120, -2*r + 5*j + 71 = 0. Calculate the remainder when 718 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.86 - -0.14. Let r = -2.9 + m. Suppose -4*a - h = -14, 7*h + 4 = 4*a + 3*h. What is the third biggest value in a, 0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3389708386.\nAnswer: 2, 53, 31978381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) 2  (c) 2\/3  (d) -2\/71  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 5*n**2 + n. Suppose -g - 5*f = -0*g - 35, 0 = 3*g - 4*f - 67. Suppose 0*q + g = 5*q. Suppose 1 = q*w - 4*w. What is z(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/342 and -85\/76?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 98765981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g - 24 = 2*s, 2*s = -2*g - 3*g + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 6\/7  (b) -293  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 3*4*(((sqrt(75) + -1 + sqrt(75) + 1)**2 - sqrt(75) - 1*(sqrt(75)*1)**2) + -2)*-4.\nAnswer: -10704 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 465*b + 5643 + 9967 = 19*b for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -2*j. Let z be f(-2). Suppose -z*y = 4*b - 120, 20 = -0*b + 4*b. What is the first derivative of 3 + y + 4*u + 2*u - 6 wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9 (base 10) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2941.\nAnswer: 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - v**2 - 1. Let f(n) = 11*n**3 - 4*n**2 - 2*n - 5. Let a(m) = -f(m) + 4*x(m). Calculate a(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 6*a - 4. Let o be d(1). Let l be (o\/(-6))\/(4\/(-120)). Calculate the greatest common factor of l and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 1:52 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3989711242 to the nearest integer?\nAnswer: 63164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06023 - -28586.\nAnswer: 28586.06023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4843 + 8815. List the prime factors of y.\nAnswer: 2, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.015 * 1.1.\nAnswer: 0.0165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -2*v + 4*v. Suppose 5*w + 20 = 0, 2 = 5*r + 4*w - v. Suppose 2*m - 5*y - 337 = -4*y, -4*y + 849 = r*m. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5b17 (base 13) in base 9?\nAnswer: -18573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3638 + -3626. Calculate the greatest common factor of 177 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 33899 + 19185. Suppose -29*z + w = 279. Calculate the remainder when z is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 + 0)\/(-1)*6. Let n be s\/30*(-20)\/(-16). Put n, 8, 0.4 in decreasing order.\nAnswer: 8, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10823?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 136623228?\nAnswer: 2, 3, 7, 1626467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 38\/2981 and 65\/11382.\nAnswer: 125202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 9216, 318, 10 in decreasing order.\nAnswer: 9216, 318, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 70 + -37. Suppose -2*x = 4*l - 14, -5*l = 5 + 5. Calculate the greatest common divisor of x and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - ((3 - 2) + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 3, -14576 in increasing order.\nAnswer: -14576, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-82)\/(-8))\/(1\/(-4))*1. Which is smaller: h or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 7, b: 6}. What is prob of sequence mbmb?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-333)\/4)\/(-9) + 4. Which is smaller: 12 or s?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 270*g - 250. Let d be q(1). What is the greatest common divisor of 218 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 858 a factor of 245303058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.1778 - 2.7778. Put -0.07, -12\/13, w, -2, 5 in increasing order.\nAnswer: -2, -12\/13, -0.07, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 29327, 29396, 29465, 29534, 29603?\n\"Answer: 69*l + 29258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/15)*m*m*m*m**1*(m\/(m\/(m*(m*m*(((m\/(m**(2\/3)*m))\/m)\/m)\/m*m)\/m)))\/(m\/(m*((m**(-1)*m)\/m*m)\/m)))**(-5\/3) assuming m is positive.\nAnswer: m**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 73349 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/900153 and 65\/93.\nAnswer: 27904743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1370 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: Calculate the remainder when 6\/(-48) + (-153)\/(-8) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 0.11, 1\/3, -19\/7, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7\/((-14)\/(-4))*2. Let x be -2 - (-3 - g - -4). What is the remainder when 57 is divided by (2 - x) + 20\/1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -55 divided by -503257.\nAnswer: 55\/503257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 8 + -4 + (-3 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 11\/4 of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -546*i + 887. What is the tens digit of o(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + 13 + (-1 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*s**3 + 8*s**3 + 16*s**3 + 31*s**3 - 15*s + 6*s**3 + 3*s**3.\nAnswer: 3*s**3 - 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - 5*s - 32 + 249, -9 = -3*s. Let a(h) = 32*h - 55. Calculate the remainder when z is divided by a(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*m**4 - 3*m**4 + 2*m + 2 + m**3 - 2 + 8 to r + z*m**4 + v*m + n*m**3 + k*m**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-210)\/(-4) - 15\/10. Suppose -k + d = 2*k. Calculate the remainder when 524\/16 + (-1)\/(-4) is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -38 in -0.07, 199, -1\/3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in 0.3, 1\/3, 17, 9, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1163290?\nAnswer: 2, 5, 116329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from kil.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.98 - 6.98. Which is the nearest to -1\/2?  (a) 1\/17  (b) p  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -21 + (-183 - -216) - 38.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(84)\/((sqrt(12) - sqrt(48)\/sqrt(4))*-4 + sqrt(12)))**2 + -1 + 5 + 6*-2*sqrt(7).\nAnswer: -12*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 4*y - 5*q, -2*y + 2*q - 7*q = 9. Let a = 106 + -62. Suppose -y*t + v - 1 = -a, -2*t = 4*v - 52. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 4*g = 3 + 3, b + 3*g - 17 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g - 2*g - 6*g**3 - g**2 - 5*g**3 + 3*g**3. Let v be 2\/(-4)*0 + -1. Let f be m(v). Solve -5*w - 2*l - 2 = 0, 4*w - 3*l = -7*l + f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 4*i = -15, 2*k + 3*i - 4*i + 3 = 0. Suppose -5*z = -z - 8. Which is the closest to z?  (a) k  (b) -1  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1011101 (base 3) to base 11.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -10 + 1 + 3*x + 5 + 3*x**2 - x. Suppose 3*s + 3 = -2*n - n, 0 = -n - 5. What is the remainder when t(s) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -3*i**2 + 177*i - 181. What is w(58)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-15)\/(-6) + (-2)\/(-4). Solve a*n + 4*q - 2 = 2, -3*q = -3*n + 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2129097.563 to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 4 = -0. Suppose -3*b + 9 = -w, -s*b - 4*w = 1 - 7. Is (0 - 1)\/((-1)\/b) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 150 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y**2 + 0*y**2 + y**2)*(-5*y + y + 3*y) - 2*y**3 - y**3 - 3*y**3 + (11*y - 3*y + 0*y)*(2*y - 7*y - 3*y)*(-y + 4 - 4).\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 30 and 137\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.12  (b) -3  (c) -21  (d) 0.3  (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -18846 * 3.1.\nAnswer: -58422.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 4*p - 11 = -6*c, -2*c - 14 = 3*p. Let k(g) = -1. Let b(d) = 8*d + 14. Let h(s) = 5*s + 7. Let i(n) = 3*b(n) - 5*h(n). Give c*i(u) - 6*k(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0004395472 to 5 decimal places.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 14220431 (base 5) in base 2?\nAnswer: 100100001100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -5, 5, 38\/13, -2\/241, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 539 a factor of 9909748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*w**2 + w**2 - 3*w**2 + 3*w**2 + 0*w**2 - w**2 + (0 - 3 + 1)*(0 - w**2 + 0) + 2*w**2 + 3*w - 3*w - 831*w**2 - 1007*w**2 + 2389*w**2.\nAnswer: 559*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 53775278?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -8. Sort -3, q, 0.5 in decreasing order.\nAnswer: 0.5, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.51 take away 21587.56?\nAnswer: -21579.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5.41 from -0.8.\nAnswer: 4.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + 437593?\nAnswer: 437595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ztzzndzdznnnqtqnazqt. Give prob of sequence td.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -76) + (1602 - 1689).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5878833551?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -3*j - 5. Let c be k(0). Let z(r) = -r**3 - 4*r**2 - r - 7. Let w be z(-4). Is c <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1136017049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((4 - -559) + -4)*4. Let s = 4569 - r. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4191 and 254?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5451123l to millilitres.\nAnswer: 545.1123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 18864326549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.98 - 0.02. Let o = 4 + t. What is the third biggest value in 0.3, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 334*y - 8874 = 317*y. What is the greatest common factor of y and 1740?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 + 6*c + 10. Let j be g(-4). Let k = 19 + j. Suppose 0 = 3*d - 39 - k. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.3 + -5110.\nAnswer: -5107.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-five halves of a millennium?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17\/(-51))\/(28\/24)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -10157 * -0.5\nAnswer: 5078.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 44 - 44.2. Which is the nearest to 6\/5?  (a) -2  (b) j  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/10 and (61\/(-2))\/(36\/(-8)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5015 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 30624465581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**3 - 5*g**2 + 7*g - 4. Let p be i(-6). Let v(z) = 15*z - 12. Let b(w) = 16*w - 12. Let o(a) = 4*b(a) - 5*v(a). Is o(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -15  (b) -3  (c) -816  (d) 1\/8  (e) 13\/2  (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 - 9.8. What is the closest to -0.1 in t, 4, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/7?  (a) 5  (b) -8  (c) 0.4  (d) 1376  (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 + 826*t - 20398. Determine n(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2095 - 2100. What is the smallest value in 4, w, -0.05, -1.7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -13550, -13555, -13572, -13607, -13666, -13755, -13880?\n\"Answer: -v**3 + 2*v - 13551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l**5 - 11305*l**4 + 1381958*l**3 - 6717556*l**2 + 10648568*l - 5301664 = 0. What is l?\nAnswer: -11426, 1, 2, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 3*p - 171502 = -171463, 5*j + 2*p = -62 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4291 is divided by 427.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (22\/(-2420))\/((112\/(-70))\/(-8))\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4413)\/216237*(-98)\/(-20)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.7771915 rounded to 3 decimal places?\nAnswer: -4.777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-24)*-2*5\/(-5)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2.27, 4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2394 divided by 126\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*i + 42 - 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*c**3 - 2*c**3 + 5*c**3)*(-48*c**2 + 8334*c - 8334*c).\nAnswer: 48*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o + 1. Let d(i) = i**2 + 6*i - 4. Let q be (-7 - 75\/(-9))\/((-2)\/12). Let g be q\/84*-3 + 27\/(-21). Determine g*d(v) - 5*w(v).\nAnswer: -v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of -1\/2*c**4 + 0*c**3 + c**2 + 2 + 0*c. Solve x(g) = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/40)\/(21 - 2508\/110).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -38\/11 + 163\/44. What is the nearest to -1 in 2, j, 11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 11) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange u - 4*u**3 + 0*u**3 - 2*u**4 + 3 + 4*u**3 - u**3 to the form h*u**3 + i*u**2 + s + x*u + z*u**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 92 = k. Suppose 3*j + 14 = k. Suppose -c - j*c = 0. Solve -o + 4 = c, 0*o + 16 = -4*g + 4*o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -62*i - 138*i - 74*i + (5 - 3 + 0)*(3 - 3 - 2)*(0 - 1 + 3)*(2*i - i - 2*i).\nAnswer: -266*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123*t - 250*t + 19824000 = -123*t. What is t rounded to the nearest 100000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 141320\/(-6)*43\/(5590\/(-234))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**2 + 3*b - 2. Let n be p(-3). Calculate the lowest common multiple of (6\/3 - 4)\/n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 723048581 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -153959.9876 to the nearest one hundred.\nAnswer: -154000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.4 + -7.6. Let u = -11.00005 - k. Round u to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -240*f**4 + 5*f + 8.\nAnswer: -2880*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z**2 - 10*z - 10. Let p(b) = b**2 - 3*b - 3. Let y(o) = -10*p(o) + 3*q(o). Let t(v) = 2*v - 157545 + 157545. Determine y(t(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2*m**2 - 2*m. Let k = 22 + -25. Let d(c) = -5*c**2 + c. Let j(t) = -21*t**2 + 3*t. Let b(u) = 9*d(u) - 2*j(u). Give k*b(w) - 4*r(w).\nAnswer: w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2))**(-16)\/(a**0*a*a**0*a) assuming a is positive.\nAnswer: a**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 168 + 17495.196?\nAnswer: 17663.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 + 19 + -6 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84722*t**2 + 0 + 0 - 84723*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i = -5*s, 5*s = 4*i + 3*s + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and -2.46677.\nAnswer: 0.493354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 170.21908+0.014\nAnswer: 170.23308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*j - 8*j - 3 = h, 15 = 63*j - 5*h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most 11\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 19485787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -1805490?\nAnswer: -2\/902745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 1964.4 to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 + 10*i + 24. What is d(13)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 AM and 7:35 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 1)*(-67 - 68 + 136 + 40*c).\nAnswer: 80*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 720*p + 658*p + 11112 + 10217 + 20011 = 0 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 4*m - 3*m + 2*m**3 + 8*m)*(-m**2 + 4*m**2 - 4*m**2).\nAnswer: -2*m**5 - m**3 - 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cp when two letters picked without replacement from cpccccsscscscccscc?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2 + 65498814*z.\nAnswer: -z*(z - 65498814)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1156 and 680?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*o + 671 - 248 = 37*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*d**2*l**2 + 1402*d**2*l + 34*d**2 + 8*d*l**2 + d*l - l**2 - 58*l - 1 wrt d?\nAnswer: 4*l**2 + 2804*l + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -2*d**2 - 7*d. What is v(-6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -17947, -35926, -53905, -71884, -89863, -107842?\n\"Answer: -17979*m + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + i - 25 = 0. Let z be 4*(2 + (i - (5 - -3))). Put -3, z, -103 in descending order.\nAnswer: -3, z, -103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -40559568 divided by -2?\nAnswer: 20279784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -35.47 - -35.472095. What is w rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -0.4  (b) 12  (c) -198  (d) -2  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {s: 2, f: 1, w: 3, o: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -162130 - -18482539\/114. Let c = 2\/57 - s. Solve 1\/2*l + 2*l**5 - c*l**3 - 3\/2*l**4 + 0 + 3\/2*l**2 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y - 3 + 3)*(-11*y**2 - 51*y**2 - 7*y**2).\nAnswer: -207*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -285*h*l**2 - 5*h*l - l**5 - 2*l**2 + 258*l wrt l?\nAnswer: -570*h - 20*l**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 513, 496, 469, 432, 385, 328?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - 1)\/((-4)\/68). Let x be (101 + 1)\/(15\/10). Calculate the highest common divisor of x and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 1 = 4. Put -0.4, w, 2 in descending order.\nAnswer: 2, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**4 - x**3 - 9*x**2 + 7*x + 16. Let o(y) = -5*y**4 - 6*y**3 - 45*y**2 + 35*y + 79. Let r(c) = -6*o(c) + 29*u(c). Let r(n) = 0. What is n?\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-7)\/4 - (-3 + 1). Let f(w) = 6*w**2 - 3*w + 3. Let s be f(2). Let j = s + -19. Which is the third biggest value?  (a) j  (b) -3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 3*o**2 + 9*o + 9. Let g(j) = j**2 + 2*j + 2. Let a(f) = -9*g(f) + 2*n(f). Let r(y) = -y. What is a(r(t))?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*c + 200 = 29*c. What is the greatest common divisor of c and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*j - 6 - 4 + 10.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 + b**2 + (3 - 2 - 2)*(3 - 3 - 3*b**2) - b**2 + 4*b - 4*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (27 - 45 - (7 + -30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/6*(-2)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**4 - 1252*o**3 - 163584*o**2 + 88031232*o - 7445938176.\nAnswer: 4*(o - 192)**3*(o + 263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4\/(-9) + (-96694)\/(-117).\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -14*d + 871. Let h be u(56). Calculate the highest common factor of 232 and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 478.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1005 + -0.9015. Let c = k - -0.45. Round c to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -6 + (17 - 4) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p + 1. Let u be s(-1). Let z be (u\/(-2))\/(5\/40). Suppose z*a = a. Solve 0 = v - a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 6*t**3 - 7*t**2. Let x be j(2). Calculate the greatest common divisor of 590 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - 18. Let b be (1\/4)\/((-2)\/r). Solve -6 + 0 = b*f - 2*m, -3*f - 9 = 5*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/163?  (a) 4\/5  (b) 0  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = 5*w - 11, 3*w = -5*g - 7 + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -634*s + 6 = -631*s. Suppose 2*r = 6*r, -2*x + r + 80 = 0. Let t = x - s. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 0.3, -18, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*f = -35*f. Suppose f = 7*i - 4*i - 15. Solve 0 = -i*o - 2 - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 5) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2*8*((-18)\/3)\/24\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 4\/3, -4, -0.3, -5\/2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24 and 176988.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*p - 1800 = 14*p. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, -6, 6, -8, -33 in decreasing order.\nAnswer: 6, 5, -4, -6, -8, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 + 16 - (6 - 11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from {v: 1, r: 1, i: 1, j: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.222 or -7514\/21?\nAnswer: -0.222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*89.3.\nAnswer: 267.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**3\/3 - 77*u**2 + 4704*u - 87808\/3.\nAnswer: (u - 112)**2*(u - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -541*d + 2047 = -630*d for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 197141 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 4 * 25605493\nAnswer: 102421972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 465508, 931070, 1396632, 1862194, 2327756?\n\"Answer: 465562*b - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.14, 0.1, -0.1, 15, -0.11, -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 9\/(-36) - 13\/(-4). Suppose -1 = r - t. Solve y + r = n, 25 = -4*y - y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2\/3)\/(24\/1296). Let d be (1\/8)\/(9\/t). Sort 0.1, -0.1, d, 2\/9 in decreasing order.\nAnswer: d, 2\/9, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.5 * 734.\nAnswer: 2569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24 + 37. Let v(b) = b**3 - 15*b**2 + 32*b - 19. What are the prime factors of v(z)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 3*b - 1. Calculate g(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -2\/15  (b) 13  (c) 0  (d) 0.3  (e) 0.09  (f) 2\/9  (g) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20 + 21. Which is the biggest value?  (a) 0.4  (b) r  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 1 - 1)*(-126 + 176 - 142)*(0 - 2 + 5)*(4 - 2 - 3)*(-s + 3 - 3).\nAnswer: -2760*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21 (base 3) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -5\/21  (b) -2\/7  (c) 2\/3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {n: 9, l: 3, h: 4}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**2 + 40*u + 100.\nAnswer: -5*(u - 10)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in thirteen fifths of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 + (-90)\/12)\/((-1)\/(-6)). Let l be k\/(-42)*(-5 - -1). Let s(n) = 6*n - 2. Give s(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 54242*s - 178. Let v(c) = -c. Determine v(l(a)).\nAnswer: -54242*a + 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 924 and 168.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15 - 15. Suppose 0 = -2*d + 3*d + i - 8, -5*d + i + 16 = f. Solve -6*z**2 + 9*z**2 - 5 - 2*z**2 + d*z = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 1:10 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwcvwccwwwvvv. What is prob of sequence cc?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 180 and (-10)\/(1 + 170\/(-150)).\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**4 - 2*t**3 + t**2 - 1. Let i(d) = 2*d**4 + 5*d**3 - 4*d**2 - 7*d + 7. Let l(z) = -c(z) - i(z). Factor l(g).\nAnswer: -(g - 1)**2*(g + 2)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 120 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s + 350. Let p be g(0). Let x be (p\/(-21))\/(3\/(-1026)). What is x rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 248 = -3*f - 11, 193 = -2*p - 5*f. Let n = 97 + p. What is the remainder when 31 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 286556609?\nAnswer: -286556610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.3, 4, 5, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 11*v**3 + 5*v**2 + 5*v - 9. Let w(h) = 16*h**3 + 7*h**2 + 7*h - 13. Give -7*q(p) + 5*w(p).\nAnswer: 3*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34632*j**2 + 189 - 189 - 3*j.\nAnswer: -34632*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*m - 89 + 18 - 17*m + 13 + 36 to y + z*m and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -101101110101011010001 (base 2) to base 13\nAnswer: -407802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w - 10*w = -2736. Let h = 420 - w. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -147*r - 6. Let f(b) = 449*b + 22. Determine 4*f(x) + 13*o(x).\nAnswer: -115*x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 0) + (3 - 3) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 75 = 37. Calculate the highest common factor of 38 and f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 + -1134?\nAnswer: -1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5967834, 5967767, 5967700, 5967633, 5967566?\nAnswer: 5967499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6861.09 centimeters in millimeters?\nAnswer: 68610.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**3 + 6*b**2 + 3*b - 20. Determine a(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 284 and 250?\nAnswer: 35500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 (base 13) in base 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the first derivative of -1\/2*p**2 - 7*p - 181 - 35*p**3. Find the second derivative of s(l) wrt l.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -45*z**2 - 6*z**4 + 16*z**2 + 13*z**2 + 14*z**2 - 4*z**3 - 4*z - 2 as b*z + v*z**3 + x*z**2 + r*z**4 + l and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 1 = -m, 3*m + 5*o + 2 = -3. Suppose 3*w = 2*w - 1. Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/1051 in -0.1, -3\/4, -0.3, -6, -6\/61?\nAnswer: -6\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(2\/15)*p\/p**(-1\/15))\/((p*p*p**(-16))\/p*(p*p*p**(-1\/10)*p)\/p))**(-2\/25) assuming p is positive.\nAnswer: p**(-143\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the second derivative of 7*m**4\/12 - 5*m**3\/3 + 6*m. Find the second derivative of l(y) wrt y.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 600594703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -3*r - 14 - 4*r + 0*r + 3. Is h(-5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/5, -1\/3, -6791, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-10)\/15)\/(3\/(-189))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 270723?\nAnswer: 3, 31, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -10*r - 83. Let y(j) = -7*j - 55. Let b(s) = 5*n(s) - 8*y(s). Let k be b(0). Suppose -5*u + k = -50. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1807 by -362.\nAnswer: -1807\/362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/4*(-5 - -89)\/(-7). Let r be (3 - 2)*a*-14. Suppose 13*i = 10*i + r. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -1  (b) 0  (c) 2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13071 + -12231. Calculate the smallest common multiple of 672 and s.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.1  (b) -0.1  (c) -7  (d) 0.513\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26 - -22. Let j = 169 - c. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -1  (b) 13  (c) 52.4  (d) 5  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*d - 2809 - 1775. List the prime factors of d.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 3*j + 5*n = 7*n + 29 - 13, 0 = -5*n for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1537 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(18\/11)\/l*l*l)\/l*l)**(2\/139) assuming l is positive.\nAnswer: l**(58\/1529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 75\/2 of a millimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 - 12*u**2 + 26*u + 14. Let b be c(9). Solve p + 2*p - 2 = -4*l, b*l = 3*p - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of -3\/2*r**2 + 0 - 2*r**3 - 3\/4*r**4 - 1\/20*r**5 - 8*r. What is the tens digit of q(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2572, -5152, -7732?\nAnswer: -10312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -187\/12530226?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 36562 + 5?\nAnswer: 36567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvmvmmmobvvovbmbb. What is prob of sequence vov?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is l in l**3\/4 - 3*l**2\/4 + 3*l\/4 - 1\/4 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*o + 4*a, 2*a - 2 = -2*o - 0*a. Suppose o = -4*m - m + 50. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 + 1 - 5)*(-10*z - 30 + 30)*(-2 - 3 - 1)*(z**3 - 4*z**3 - z**3) to the form u*z + b*z**3 + p*z**4 + h*z**2 + v and give p.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (24\/(-32))\/((-3)\/8) + 1. Sort c, 0.3, 26 in descending order.\nAnswer: 26, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 9084 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -4*f + 14, 0 = 8*k - 9*k + 2*f - 5. Let a(o) = 15*o - 1. Let j be a(1). Let x = j + -6. What is the greatest common factor of k and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, 69, -17, 4, -6970 in increasing order.\nAnswer: -6970, -19, -17, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -245 - -338. What is the highest common factor of 31 and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24287 is divided by 24159?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2\/13)*g)**(1\/10) assuming g is positive.\nAnswer: g**(11\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 108 a factor of 182680721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -59\/140 + 6\/35. Let v = -1 + 9. Let q = -6 + v. What is the smallest value in q, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**2 + 67*j - 543. Calculate d(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11890 less than 23781\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 5:51 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -204610, -204597, -204572, -204529, -204462, -204365, -204232, -204057?\nAnswer: -203834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 18552281.2 rounded to the nearest 1000?\nAnswer: 18552000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 556 is divided by 104.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 432 and 1431?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 984 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*p - 1507 + 91. List the prime factors of p.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 101\/4 - 25. Suppose 0 = -134*u + 132*u - 4, 9 = -l - 4*u. Which is the biggest value?  (a) d  (b) -5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n. Let k be u(3). Let w = k + 5. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -26*x**3 + 45*x**2 - x - 4. Determine l(-1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 5 + 5 = -3*u - 3, u + 14 = 8*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j - 1. Let c be b(1). Let z be 2 + c + -2 + 2. Is 1 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20 and 58243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of 4*g**3 + 11*g**2\/2 + 8*g - 4. Let b(j) = -5*j - 2. Calculate -11*b(n) - 2*i(n).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14063 - -32377. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 + -4 + 1 - (-23 + 10 - 42313) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1809, 2091, 2519, 3165, 4101, 5399?\n\"Answer: 12*a**3 + a**2 + 195*a + 1601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3\/2 - 45477*p**2\/2 + 60200871*p\/2 - 20222850467\/2.\nAnswer: (p - 44123)*(p - 677)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 minus -35761948?\nAnswer: 35761941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t = -5*q + 182, -2*q - t + 261735 = 261673 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 173*m**2 + 4*m - 4. Let u(k) = 345*k**2 + 7*k - 7. Give -4*u(r) + 7*y(r).\nAnswer: -169*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66224937.\nAnswer: 3, 19, 1161841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2*f**3 - 2*f**2 - f + 2. Let d(s) = -642*s**4 + 12*s**3 - 12*s**2 + 4*s + 27. Let b(t) = d(t) - 6*k(t). What is the second derivative of b(u) wrt u?\nAnswer: -7704*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31348 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(95) + -1*(sqrt(95) + sqrt(95) + (-2*sqrt(95) - sqrt(95)) + sqrt(95)) + sqrt(95) + sqrt(95) + sqrt(95))\/(sqrt(50)\/(sqrt(10)*-1)).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4999.99*-6.5.\nAnswer: -32499.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 take away -0.26723489518?\nAnswer: 0.66723489518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -17*b**4 - 14*b**4 + 30*b**4 - b**2 + (-4*b**2 - 3*b**2 + 3*b**2)*(-3*b + 2*b**2 + 3*b) - b**4 + 2*b - 2*b.\nAnswer: -10*b**4 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2502  (b) 0  (c) -4  (d) 855\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, h: 1, l: 9, m: 1}. Give prob of picking 2 c and 2 l.\nAnswer: 72\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 4 + 2 + 3)*(2595*c + 463862 - 463862) to l*c + f and give l.\nAnswer: 12975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3 + 44456*p**2 - 14339256*p.\nAnswer: 2*p*(p - 318)*(p + 22546)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 62 + -82 - (-13 + (-1 - -22)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t - 4*t + 3*t)*(0*t + t + 3*t) - 4*t**2 - 4*t**2 + 4*t**2 - 3*t**2 + 3*t**2 + 6*t**2 + (-4*t - 1 + 1)*(t + t - t) + (-t + 4*t - 4*t)*(-t - 3 + 3).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -2*o**3 + 16794*o**2 - 35162256*o - 388819552 = 0?\nAnswer: -11, 4204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3095235, 3095279, 3095353, 3095457, 3095591, 3095755?\n\"Answer: 15*i**2 - i + 3095221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 3 + 5)*(2 + 1 - 5)*(s + 0*s + 0*s)*(-27 + 4 + 7) to j*s + w and give j.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -664*z**3 - 5*z + 5. Let q(j) = 332*j**3 + 2*j - 2. Calculate -5*q(m) - 2*w(m).\nAnswer: -332*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (8 + -10)*-3 - 80402. Is g\/(-8) + 1\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 43 from 24.1177.\nAnswer: -18.8823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -5  (b) 5  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-47)\/((-12831)\/(-234))*(-1)\/(6\/140).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 920 and 48438?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(-34) + (-97812)\/(-238). Let q = l + -408. Let x = q + 107\/14. What is the common denominator of 1\/22 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - -2. Let v(t) = -t**2 + 11. Let k(n) = n**2 - 12. Let m(w) = 5*k(w) + 6*v(w). What is the remainder when m(y) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 2*r + 48 = 0, -5*c = 3*r - 6*r - 28. Suppose 17 = 5*h - c. Solve 2*o + 10 = -t, 0*o + h = -o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -526219.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-4))\/((-124)\/248).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 278444944?\nAnswer: 2, 2099, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*m + 10. Let v be (m - -5)*-13*1. Suppose -5*d - 5*t + 20 = 0, -4*d + t + v = -4*t. Calculate the greatest common factor of 72 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -22 - 3700?\nAnswer: -3722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 603163261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**2 + p + 1. Let y(a) = -5*a**2 - 4*a - 4. Suppose -n - 3 = 2*n. Let r(z) = n*y(z) - 4*t(z). Let j(s) = 8*s. What is r(j(d))?\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 1 + (-2 + 1 + 2)*(4 - 3 + 0) - 5 + 4 + 0)*(-13*z - 15*z + 9*z).\nAnswer: 38*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 247 divide 3132678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 7*r + 4 - 4. Let x(m) = 2*m**2. Give x(t(s)).\nAnswer: 98*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6148943l to millilitres.\nAnswer: 614.8943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 181*o - 360*o = 712*o + 13365 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(3\/2)*b*b**4\/b*b assuming b is positive.\nAnswer: b**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 + 9 - 6)*(-35*o + 57*o + 72*o + (-3*o + 0*o + 4*o)*(-4 - 2 + 7)).\nAnswer: 1425*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1274928525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2853, -5750, -8665, -11604, -14573, -17578, -20625?\nAnswer: -23720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2\/5, 10, 0.1, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2304819 is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -752 + 822.8. What is t rounded to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 855857, 855851, 855843, 855833, 855821, 855807?\nAnswer: 855791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*b**2 + 8 - 29*b - 5*b**2 + 45 - b**2 with respect to b.\nAnswer: -6*b - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 211110?\nAnswer: 211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.14 + -1.86. Let t = 597\/7 - 85. Which is the third biggest value?  (a) 2\/15  (b) q  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q - 4*p - 28, -2*q - p + 863 = 870. Suppose -3*n - 4*z = 2*n - 28, -2*n + z = -6. Solve 2*g + q = 5*o + 16, 0 = n*g - 5*o - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 3 + 0 + (-2 - 15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(300) - -4*(sqrt(300)*2 - sqrt(300)))\/(sqrt(6) - -1*sqrt(24))*5)**2.\nAnswer: 31250\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9c (base 14) to base 7.\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -61, -120, -185, -250, -309, -356, -385, -390?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 + 7*p**2 + 8*p + 5. Let v(u) = 3*u**3 - 14*u**2 - 17*u - 10. Let n(h) = -5*c(h) - 2*v(h). What is n(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -4*s + 0*s + 7*s + s. Let q(k) = k. Determine q(h(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 441*a - 772*a - 482*a + 146 + 5545 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -1609975*x**2. Let o(r) = -r. What is o(i(y))?\nAnswer: 1609975*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 99.6 rounded to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1212120220 (base 3) in base 13?\nAnswer: -13a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.29 + 0.29. Let a = u - -2.4. What is the closest to a in -0.3, 3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mz when two letters picked without replacement from nixazmannaxa?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 12 = -0*a - 5*k, -3*k = -3*a. Find the second derivative of b + 4*b**a + b**5 - 3*b**4 - b**4 wrt b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 6, b: 5, o: 1, z: 3, w: 3, r: 2}. What is prob of sequence zrbw?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*s - 40 = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -3*c**3 + 4*c**2 - 7*c. Let d be x(-4). Let y = 297 - d. Solve 0 = -7*r + 8 + y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 32 = 4*j, -6*b + 5*b - 28 = 5*j. Sort -4, -1, b.\nAnswer: -4, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/8 - 142\/(-24)) + -544 + 538?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/(-195)*((-675)\/210)\/(-9)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:06 PM and 12:58 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -20*i - 56. Let k be o(-3). Suppose -49*g - 4*x + 3487 = -46*g, 0 = -k*g + 3*x + 4641. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12369236 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3436671 divided by -30961\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.16 + -5.84. Let o = p + 5.9. Which is the closest to o?  (a) 1\/3  (b) 0  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s. Let c(q) be the first derivative of -7*q**3\/3 + 10. Calculate c(b(y)).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 92 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 13*v - 1. Determine h(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 23186119721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 459 - 3211\/7. What is the nearest to 2\/7 in o, -2\/11, 7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 284235?\nAnswer: 3, 5, 7, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 70284 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 206765212.\nAnswer: 2, 2143, 24121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-6*2*sqrt(65))\/(-1*sqrt(320)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 17*q - 33. Let o(g) = g**2 - 2*g - 4. Let c be o(-3). Does 16 divide s(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2139*z**3 - 3*z - 4. Let a be y(-1). Is -2142 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z + 12. Let p be t(-12). Suppose -4*h - 45 = -3*w, p*h = -w + 5*h + 26. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.6 + -0.57. Let l = -0.27 - f. Let w = -388 + 5822\/15. Which is the biggest value?  (a) w  (b) 1\/3  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 334044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 809418101 to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -640 - c**2 - 596 + 1211 + 3*c. Determine f(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - p + 2903 = -1790, -5*p = 4*y + 18790. Let v = -2444 - y. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 4*u - 1. Let q be t(1). Suppose 4*w = q*m + 1354, 857 = 3*w - 4*m - 162. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -40 + 37. Sort -5, 43, t in descending order.\nAnswer: 43, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (0 - (6 + -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20548*l**5 - 532*l + 1?\nAnswer: -410960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 5*g - 6. Let t(p) = 4*p - 6. Let x(b) = -5*i(b) + 6*t(b). Let c be x(-12). Let k = c + -9. Do -2 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 PM and 5:59 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + p + 19 = -2*j, -5*p + 5 = 0. Let x be j - (1 - 2)*69. Factor -4*a**2 - 4*a**3 + 6*a**2 + x*a**4 + 2*a**2 + 4*a**5 - 69*a**4.\nAnswer: 4*a**2*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12071232 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((-1*sqrt(960))\/(sqrt(5) + -2*sqrt(50)\/sqrt(10)))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3088 times 5?\nAnswer: 15440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*b - 3*b - 2*b**2 - 5*b)*(7*b**3 - 2*b**2 + 2*b**2 + (0*b**3 + 0*b**3 - 3*b**3)*(2 - 4 + 1)).\nAnswer: -20*b**5 - 40*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1901*g - 14 - 728*g - 857*g - 846*g.\nAnswer: -4332*g - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 191 divide 4405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1578*g**4 - 4*g**2 + 28*g + 3323644 wrt g.\nAnswer: 6312*g**3 - 8*g + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*q = -35*q + 3*g + 15, -4*g + 5 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve y - 6 = 5*r, 20 = -4*y + 11*r - 13*r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101211 - 2?\nAnswer: 101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27631 + 27856 = 15*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -1018*r + 507*r + 512*r. Let s(p) = 8*p**2 - 4*p**2 - p**2. What is s(q(w))?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l - 3 + 3)*(-3*l**2 + 3*l - 3*l)*((4 + 3 - 5)*(6*l - l - 3*l) - 5*l + 2*l + 2*l + 0*l + 3*l - l).\nAnswer: -30*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 7876.\nAnswer: 39380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 368\/14453 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 + c72000?\nAnswer: c72005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 52453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 9, p: 9, l: 1}. What is prob of sequence ul?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -129*q - 120 = -137*q. Let x be (-6)\/8*(8 - q - -3). Solve 4*d = -20, -2*d - x*d - 45 = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 116a2 (base 16) to base 10.\nAnswer: 71330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 3*l - 27 = -3*p, -3*l = -4*p + 15. Solve -p*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.89893um in kilometers?\nAnswer: 0.00000000389893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -2*y**2 - 2*y - 5. Let h(z) = -z**2 - 2*z - 2. Let a(k) = 4*f(k) - 7*h(k). Suppose 5*w + 3 = 4*w. Let g = 1 - w. Calculate a(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86010 is divided by 6586.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.01  (b) 2\/13  (c) -0.02078  (d) -2  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/31 greater than or equal to -742740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bjy when three letters picked without replacement from {y: 7, j: 2, b: 3}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 148413949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (-213)\/(-1065) + (-3265984)\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-80546)\/(-29973) - (-2)\/(-97)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -3*z. Let r(d) = 5*d + 28. Let l(f) = -3*f - 28. Let w(p) = -3*l(p) - 2*r(p). Calculate w(x(t)).\nAnswer: 3*t + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 46 = -62. Is d less than -106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of -o**5\/120 + o**4\/3 - 16*o**3\/3 - 9*o**2\/2 + 20. Let s(f) be the second derivative of v(f). Factor s(k).\nAnswer: -(k - 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 2, -3*p - 4 = -3*l - 10. What is the units digit of 1*10\/l*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -2\/21 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1540193 divided by -3.\nAnswer: 1540193\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(77))\/sqrt(7) + 5.\nAnswer: -3*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 129 and 1431900.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 + 7 = -2*k + 3*a, 4*a + 18 = k. Let y(j) = j**3 + 4*j**2 + 7. Let u(i) = -3*i**3 - 11*i**2 - 20. Determine k*u(n) + 17*y(n).\nAnswer: -n**3 + 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1353*x**2 + 7*x - 218662.\nAnswer: 2706*x + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/2)\/((-9)\/(-12)). Let h be 1\/(-4) - 533\/(-52). What is the units digit of 132\/15 - j\/h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/((-406)\/(232\/8)))\/(4\/322)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 12 in -5, -4, 12, 1\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 849042 and 41508720.\nAnswer: 373578480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7225 and 1?\nAnswer: 7225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes before 5:01 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes after 1:36 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2078 or -2087?\nAnswer: -2087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3252 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2\/9289 + -92824\/306537. Find the common denominator of o and 14\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3 - 3785*h**2 + 30232*h - 60432.\nAnswer: (h - 3777)*(h - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4411558442 + 7?\nAnswer: -4411558435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 171, 172, 173, 174, 175, 176?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000358642 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0.2, -0.8, -3, 2\/7 in decreasing order.\nAnswer: 1, 2\/7, 0.2, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 1:43 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 8 = 4. Let j be 4\/(-16)*i - -1. Solve 4*k - 6 = j*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1b1031 - -24?\nAnswer: 1b1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1514 and -546.318?\nAnswer: 82.7125452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than 2\/1224505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -38679724*q**2 - 19637535*q.\nAnswer: -77359448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the second derivative of -s**4\/12 + s**2\/2 - 2*s + 9. Let p be l(1). Which is smaller: -2.5 or p?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 18*o*p*w - 456*o*p - 120519661*o + 732*p*w + w wrt p.\nAnswer: 18*o*w - 456*o + 732*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -3*l + 72. Let r(y) = 2*y**2. What is h(r(n))?\nAnswer: -6*n**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s + 16. Let n be j(11). Calculate the remainder when 21 is divided by (6\/5)\/(1\/n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 4*a**2 + 1. Let w(r) = 3*r**2 + 2. Let k(o) = -4*g(o) + 5*w(o). Let y(f) be the first derivative of k(f). Let s(n) = -8*n**2. Give s(y(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 0 + 40 = 0. Let r(m) = 40*m**2 - m + 1. Let w be r(2). Let x = 165 - w. What is the remainder when c is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 3*x + 27 = 0, 10*l = 12*l - 4*x + 36. Solve 24*c + 51 - 75 = l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2794*k + 4. Let d be m(-2). Let f be d\/(-19) - (6 - 6). Let r = -294 + f. Which is the nearest to 0?  (a) 2\/9  (b) 3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**3 - 4*p**2 + 8*p + 4. Let m = 216 - 221. Calculate a(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (25 - 6) + 5 - 57?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -149*d**2*v**2 + 28*d**2 + 5*d*v**2 + d*v + 17*v**2 + 52*v + 25 wrt v?\nAnswer: -298*d**2 + 10*d + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a kilogram in grams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (7 - (-12725)\/10)*92\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -h**2 + 308*h**3 - 290*h**3 - h**2 in the form b*h + v + x*h**3 + u*h**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178434 is divided by 1898?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 52 and 55211?\nAnswer: 220844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13340.\nAnswer: 2, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 116489*i**2 - 152373*i?\nAnswer: 232978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 17617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3008\/455 + 226\/35. What is the closest to -1\/2 in -4, g, -2\/9, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 53, 309, 959, 2183, 4161, 7073?\nAnswer: 11099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -33 - -32.5. What is the fourth biggest value in 9, r, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in -9, -1, 1\/2, 0.3, -131, 2\/19?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(847)*-1 + 4 + (sqrt(847) - -1*sqrt(847)*-5 - sqrt(847))*-5)*-4)**2.\nAnswer: 38016*sqrt(7) + 9879664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, 93, 189?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 16739 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7526134284.\nAnswer: 2, 3, 627177857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -a**2*r**4 - 132*a**2*r + 505*a**2 - a*r wrt r.\nAnswer: -4*a**2*r**3 - 132*a**2 - a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add 960 and -13441.95.\nAnswer: -12481.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**2 + 6*h + 5. Let f be (102\/18 - 5)\/((-1)\/15). Let i be (8\/(-7))\/(f\/(-35)*-1). Let q(x) = -x**2 + 5*x + 4. What is i*o(j) - 5*q(j)?\nAnswer: j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 + 3\/(-6))\/(1\/(-2)). Suppose 0 = -2*x + z + 5, 0*z + a = -3*x + 4*z. Suppose -p - x*v = -4*p + 931, -v - 309 = -p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 3*r = 0, 0 = -2*y - 18*r + 21*r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**14)**(1\/44) assuming r is positive.\nAnswer: r**(15\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2962 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: Suppose 234 = -5*r + 2*r. Suppose -694 + 699 = 5*u. Let p = u - r. What is the remainder when p is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 750*s - 742*s - 24 = 0. Suppose -s*d = 341 - 4355. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2 + 3*c + 32. Let n(p) = 6*p**2 + 15*p + 159. Let d(y) = 21*b(y) - 4*n(y). Factor d(x).\nAnswer: -3*(x - 4)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 117*-2*((-4)\/(-8) + -1). Suppose -7*r - f = 37. Let o = r - -29. Calculate the remainder when 26 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 41\/2 of a decade?\nAnswer: 2460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*c**3 + 0*c**3 + 50*c - 2*c**3 - 18*c - 32*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -9, 160, -5, 0, 2 in increasing order.\nAnswer: -9, -5, -1, 0, 2, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1\/2)\/(2\/(-12)). Let o = 3929 - 15805\/4. Find the common denominator of t\/(-12) - (17 - 1) and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3127533 rounded to three decimal places?\nAnswer: 0.313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11210 is divided by 622.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17.9 + -18. Let u = -248.99 + 249. Let k = -6.7 - -7. Which is the third biggest value?  (a) u  (b) z  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2465963?\nAnswer: 2465963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-4)*2*10\/(-110)*532257\/435483?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*-1*45\/945?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -0.3, 2\/7, 29\/6 in descending order.\nAnswer: 29\/6, 3, 2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, -35, -2, 4, 2876, -7 in descending order.\nAnswer: 2876, 4, 1, -2, -5, -7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2\/2 - 135693*a - 271387\/2.\nAnswer: (a - 271387)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - 5.2. Let n = i + 2. Let k = -7 - -7.3. Which is the nearest to n?  (a) -2\/9  (b) 2\/15  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 6267, 25092, 56477, 100428, 156951, 226052?\n\"Answer: k**3 + 6274*k**2 - 4*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -4*z - 67 - z**2 + 63 + 0*z. Give d(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1)\/4)\/(-1 + 0). Let t be (-1 - -2) + 30\/(-21). Which is the third smallest value?  (a) 5  (b) t  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -56, -0.1, -35, -2\/13, 4?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -18*o. Let b(v) = 37*v. Let f be -5 + 7 - (-90)\/(-10). Give f*a(j) - 4*b(j).\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 14) + 4 + 11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*w + 147*w + 0*w - 43*w + 1.\nAnswer: 30*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58295417.\nAnswer: 281, 207457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3)*-1 + -1 + 1)**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39\/20 and -29\/618?\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 260 and 602524?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1234480000 to the nearest 1000000.\nAnswer: -1234000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 4) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -478 + 484. Let k(u) = 0*u**3 + u**3 + 3*u - 7*u**2 - 9 + 3. What is k(w)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 AM and 5:01 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101110000 - -101?\nAnswer: 101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the third derivative of h**5\/15 + 5*h**4\/24 - 5*h**3\/6 + h**2 - 2. What is the least common multiple of m(2) and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 665489 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 10 = 4, -4*q = m - 11. Let l(v) = 35*v + q*v**2 - 20*v + 17 + 15*v. Let g be l(-15). Calculate the highest common divisor of g and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-35)\/21*25893\/685\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 16\/(-1) - (-2 + 0). Let b(p) = p**2 + 14*p - 3. Let c be b(m). Let x be 25\/c*(-1 + -2). Solve 3*z = 2*h + 15, 0 = -h + 4*z + z - x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*w**3 + 4728975 + 3*w**3 - 3*w**3 - 4728975 + 2*w**3 - 97*w**2.\nAnswer: -2*w**3 - 97*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12cb (base 14) to base 16.\nAnswer: cf3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 - 896*x + 6310. Give g(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02863888 rounded to three dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 0*b = -6. Let i be (b + 0 - 3)\/1. Solve -6*k + k + 25 = i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**2 - 6*u + 5. Let j be f(-5). Let m = 7 - j. Sort m, -6, -4 in ascending order.\nAnswer: -6, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 224*x + 841. Determine w(-3).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the second derivative of a**7\/5040 + a**4\/3 + 11*a. Let p(j) be the third derivative of l(j). Factor p(r).\nAnswer: r**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20 + -20. Suppose -10 = 2*k, l = 2*n + k - 5*k - 32. Solve -5*d - 3*y - 32 = -n*y, 0 = -2*y + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-153321.\nAnswer: 61328.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 + 21. Let b(i) = 2*i**2 - 11*i + 7. Let n be b(5). What is the second derivative of -u*t - 183*t**4 + 184*t**4 - 2*t**2 + 2*t**n wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25.2 + -25. Let l = p - 0.1. Let d = -0.6 - -0.5. What is the closest to d in l, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 106755899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + -31. Let a = g + 62. Suppose -2*l + 5*v - a = -5*l, 0 = 5*l - 5*v - 5. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 6*j**2 + 6*j - 1. What is the units digit of s(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 119127622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, -7, -2, -1 in ascending order.\nAnswer: -7, -5, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 + 4 = 6*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u + 2*p + 3, -3*p + 21 = 5*u - 2*p. Let z = 3 - 4. Let d(c) = -31*c**3 - c**2 - c - 1. Let q be d(z). What is the highest common divisor of q and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -16727*q**4 - 561539*q**2 - q wrt q?\nAnswer: -401448*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c + 354*r - 353*r = 13, 2*c + 741 = 57*r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.721459 millimeters to meters.\nAnswer: 0.008721459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.14214551 rounded to 4 dps?\nAnswer: -0.1421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 746*n**2 - 2*n - 3. Let a be i(-1). Suppose 0 = 6*o - a - 419. What are the prime factors of o?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*h - 200*h + 23*h = -8904 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -7, 32, 71?\n\"Answer: 39*a - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 409 a factor of 8965689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 164, 838, 2052, 3806?\n\"Answer: 270*o**2 - 136*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -195*d - 58*d - 8 + 6 + 111*d.\nAnswer: -142*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 459355 and 192400.\nAnswer: 2405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 + d - 1. Let l be z(-6). Suppose -91 - l = -6*i. Suppose 3*f - 4*p = 20, -p = -3*f - 4*p + 6. What is the smallest common multiple of i and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2, 81, 220, 415, 666, 973, 1336?\nAnswer: 1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqqs when four letters picked without replacement from {s: 1, g: 3, q: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 19 + (-21 - (19 + -31 - -21))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -137 - -262. Let g = -39 + p. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-40)\/(-30)*(-3)\/(-2). Let h be (2*o\/6)\/(106\/159). Let n(q) = q**2 + 3*q + 2. Let b be n(-3). Solve 9 = b*p - h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of l**5 + 101*l**3*r - 2*l - r - 2 wrt l?\nAnswer: 20*l**3 + 606*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g**3 - 3*g**3 + 0*g**3)*(-2*g + g - g) - 2*g**3 + 2*g**2 - g**4 - 2 + 2.\nAnswer: 7*g**4 - 2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/30 and 13\/241467.\nAnswer: 2414670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of (-72)\/15*(-275)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -18661, -19661, -21327, -23659, -26657?\n\"Answer: -333*y**2 - y - 18327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -106 - -235. Suppose 3*f - u = -4*z, 0*z = 2*z + 3*f - 63. Let s = z - 166\/5. Which is the third smallest value?  (a) s  (b) -2  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/4 + 1\/8. Let y = -634\/5 - -128. Which is the second biggest value?  (a) 2  (b) o  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002109438448 to five dps.\nAnswer: -0.00211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -3*v - 74, -2*s - 13 = -4*v - 111. Let r = v - -31. Suppose 0 = 4*j - 8 - 4. Solve 4 = -j*n + r*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 598585270 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (5 + 0)*64\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-q - 16*q - 2*q)*(q - 15*q - 6*q) + (q - 3 + 3)*(2 - 2 - 2*q) - 2*q**2 - 2*q + 2*q to r*q + m*q**2 + x and give m.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -364 = -19*b + 5*b. Is 1166\/18 - b\/(-117) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 15 = -0*y. Let k = -133 + 155. Let l = k + -20. Solve z = -l*z - y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139893 divided by 913?\nAnswer: 139893\/913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-3)\/3)\/(-2))\/(((-155)\/(-62))\/(70\/(-336)))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 + 119*s - 1878. Calculate the least common multiple of l(96) and 870.\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 0.2367?\nAnswer: 0.2367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16\/7*v**4 + 144\/7*v**2 - 36\/7*v + 0 - 104\/7*v**3 + 12\/7*v**5 = 0. What is v?\nAnswer: -3, 0, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in c + 16*c - 16*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-12)\/84*4 + 554\/14. Suppose -o = 5*p + 180, 4*p + 2*o = -88 - 62. Let d = h + p. Solve 0 = 4*z - b - 13, -6 = z - d*b + 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1529 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*c**3*x**2*z - 16*c**3*z - c**3 + 1462*c*x**2 - 2*c*x - 86*z wrt x.\nAnswer: 8*c**3*z + 2924*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102464 is divided by 11383?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from myyyyyyymymyyyyyyy. Give prob of picking 3 m and 1 y.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**3 - 52*d**2 - 98*d - 48 = 0. Calculate d.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 5*u**2 + 6*u - 10. Let b(s) = 4*s**2 + 6*s - 10. Let q(g) = 4*b(g) - 3*w(g). What is q(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*w + 3*y + 11, 5*w + 15 = 2*y - 6*y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 184554199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -151 - -161. What is the remainder when 105 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of 2\/15*s**5 - 8*s**2 - 7\/24*s**4 + 0 + 0*s - s**3. Let x(o) = -o**2 + o + 1. Calculate -6*x(l) - y(l).\nAnswer: -2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m**4 - 64*m**3\/7 + 150*m**2\/7 - 8*m\/7 - 8\/7 = 0. Calculate m.\nAnswer: -2, -1\/5, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 57 - -28. Suppose 5*r - 666 = -4*y - q, -2*y + 295 = r. Let v = y - 98. Calculate the remainder when 202 is divided by v.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**2 - 1. Let d be v(2). Suppose -d*c = -2*c - 19. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9 + -3 - 6396\/(-636)) + 6\/3\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/2, -1, 27, 0?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -3*f + 13. Let y be i(9). What are the prime factors of (y\/(-21))\/((-4)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:59 PM and 11:40 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 340 = -v. Is v a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of s**3\/6 + 671*s**2\/2 + 450241*s\/2 + 657. Factor i(t).\nAnswer: (t + 671)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 976, 1227, 1478, 1729?\n\"Answer: 251*d + 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.916 + 0.116. Let v = -0.8 - -1. Let w = v - y. Which is the biggest value?  (a) w  (b) -2  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4501*c - 1920*c + 141262 = 0 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - 4*s**2 + 1. Let k be n(4). Let p(j) = -j**2 + 5*j + 1. Let a be p(5). Let h be ((-10)\/60)\/(a\/2). Do k and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -111 - (-70 - (67 + -84)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -365 - -371. Suppose 5*h - 384 = 4*x, h - 68 = 6*x - 3*x. Calculate the least common multiple of t and h.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 385973*z**4 - 15*z**3 + 504885933*z?\nAnswer: 4631676*z**2 - 90*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 3*d - 53, -2*d + 56 - 17 = -3*f. Suppose 17*n - d*n = -91. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 divided by 7\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -56, -178, -350, -548, -748, -926?\nAnswer: -1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-3\/7))**6*t**(-1\/6)*t*t**(-1\/29))**(-16) assuming t is positive.\nAnswer: t**(17272\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o = -15*o + 85020. Let j(p) = o - 17004 - p**2. Let l(h) = 31*h. Give j(l(b)).\nAnswer: -961*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2593, -2621, -2697, -2845, -3089, -3453, -3961?\n\"Answer: -4*v**3 - 2589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3229?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the third derivative of -i**5\/60 - 5*i**4\/6 - 13*i**3\/6 + 9*i**2. What are the prime factors of c(-13)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*b**6 - 175*b**5 + 6*b**4 + 1798*b**2 + 5*b + 4 wrt b.\nAnswer: -240*b**3 - 10500*b**2 + 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 38447184 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -150.24 and -21145735?\nAnswer: 21145584.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -0.038  (b) 2.2  (c) -3\/764\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4042 - -4042. What is the second smallest value in -5, j, -0.07, -64?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -21. Let r = c + -19. Suppose b - 1633 - 412 = r. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 121 and 7381.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -2 - 2. Suppose 5*x - 4*x = w. Which is the closest to 2?  (a) 1  (b) x  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 576579869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes before 9:35 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 213130\/1301 or 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -248\/25 greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*r + 24*u - 37*u + 17*u = 34, -3*u + 14 = 5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwcwccbcwtbww. What is prob of sequence bb?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 925242.7um to millimeters.\nAnswer: 925.2427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (23202\/(-48))\/((-54)\/536). Let x = h + -4800. Calculate the common denominator of x and -133\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3\/5 + 12*d**2\/5 - 22*d.\nAnswer: 2*d*(d - 5)*(d + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 + (-4 - -1))*-1. Suppose 0 = d*q - 0*q - 4. Suppose l - 105 = -q*l. What is the remainder when l is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15968 and 1.\nAnswer: 15968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4402?\nAnswer: 2, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -6*q + 4. Let p(i) = -i + 1. Suppose 216 = 4*d + 4*u, -4*u = -0*d + d - 54. Suppose d - 51 = -3*v. Suppose 0 = 4*n - 1 - 19. Give n*p(o) + v*z(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 3*m = -54. Is ((-18)\/m)\/((-4)\/462) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -2*v**3 + 8*v**2 - v - 3. Let a be t(3). Suppose -a*f = -11*f - 66. What is the remainder when f is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from clddqdmqqch. Give prob of picking 2 q and 1 d.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2358 + 12511 = -143*o for o.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.6*2289.\nAnswer: -1373.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 19*x - 282 = 0, 2434 = 3*f + 4*x + 2365 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/(-6))\/((-13)\/78)*0. Let x be (-2)\/(-9) - (-8)\/36. Find h, given that 2\/9*h**5 + o + 2\/3*h**4 - 2\/3*h**2 - x*h + 2\/9*h**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 6*i - 4*i + 0*i - i. Let d(x) = x**2 + 6*x + 2. Calculate -d(t) + 6*g(t).\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b + b + 5*b)*(b**3 + 4*b**3 - 3*b**3) + 0 + 0 + b**4.\nAnswer: 7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 6, 86, -4, 8 in decreasing order.\nAnswer: 86, 8, 6, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -11725, -46874, -105457, -187474, -292925?\n\"Answer: -11717*l**2 + 2*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 - 4. Suppose 0 = -4*m + m. Suppose 0 = -2*x + 5*c + 48 - 13, s*x - c - 25 = m. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g**2\/2 + 6678*g - 7432614 = 0.\nAnswer: 2226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -17b7c64 - 5?\nAnswer: -17b7c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 12*w**2. Let v(u) = u**2 - 8*u + 5. Let k be v(7). Let n(d) = d - 4. Let x(t) = -2. Let r(c) = k*n(c) + 4*x(c). What is s(r(y))?\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(1539)*-3.\nAnswer: -27*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -25\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9248755 + g + 9248755.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-4))\/(1055\/(-46420)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1990*y + 9530 + 72060 = 0 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 4*f - 240597 = 0, h - 3*f - 28779 = 19367. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -13*j + 22. Suppose -6*q - 8 + 26 = 0. Calculate o(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2600 divided by -40?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -19 + (-20 - -37) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a + a - 15. Let f = 12 + -8. Solve -f = -o - a*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 0*p = -15. Let a be 4086\/(-42) + (-8)\/(-28). Let h = a - -100. Which is smaller: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/(-60) - (2320\/225)\/(-16).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 3. Let t = 3 + h. What is the smallest common multiple of ((-8)\/5)\/(t\/(-5)) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 8 = -5*w - 66, 2*s - 130 = w. Suppose 5*o - 2*z + 320 = 10*o, 0 = -o + 2*z + s. Let a = -34 + o. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*g + 1997 - 2007 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**2 - 7*q - 6. Let x be t(-5). Suppose x*u = -u. Let l = 292 + -292. Solve l = -2*y - u*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - 2. Let h = -8171\/7 + 1167. Which is the biggest value?  (a) d  (b) 0  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 77 - 73. What is the least common multiple of 31 and q?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (9 + -5)\/(4 + -2). Suppose k - 12 = -j*k. Suppose k*s - 12 = s. Calculate the remainder when s is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.05 times 423080\nAnswer: -21154","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 351918 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 4*w + 2039 = 2048, 2*w - 6 - 1 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 - 27*i**2 - 11*i - 97. Is v(28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = v, i - 6*i - 2*v = -35. Suppose i*l - 180 - 90 = 0. Let q(n) = 30*n - 2. Calculate the remainder when l is divided by q(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -131 and -79 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3738077 = 83*g + 3738658 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 - 4*i**2 + 6*i + 4. Suppose -3*j - 20 = -2*s, j + 0*s = -5*s - 1. Let x = j + 1. Calculate d(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 76 + -9 + (3 + -12 - (21 + 13 + -47))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -4*g**2 + 5*g. Let k(f) = 2*f**2 - 2*f. What is -5*k(h) - 2*v(h)?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + 1011111100001?\nAnswer: 1011111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10) - sqrt(1000)*-2)\/((sqrt(48)\/sqrt(3))\/sqrt(8)).\nAnswer: 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -2\/7, -2\/13, -1, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*q - 24 = 0, 0 = -3*y - 2*q + 1128 - 1161 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -4*u**3 - 7312*u**2 - 2263696*u + 53382912 = 0.\nAnswer: -1424, -426, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10210 + -412001?\nAnswer: -401241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -5*a. Let d(u) = -2*u. Let k(g) = 9*d(g) - 4*t(g). Let l(h) = 2*h - 62. Give k(l(o)).\nAnswer: 4*o - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**5 - 8 + 8)*(5 - 23 + 57) + 1 - 1 - 2*w**5 + 4*w**5 - 4*w**5 - 2*w**5.\nAnswer: -43*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1312 - 408 = 4*i. Suppose -i = -5*x - 61. Suppose -z + 4*z = x. Calculate the highest common factor of z and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 441\/(-294) - (-510)\/324\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 AM and 7:46 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -130, -256, -380, -502, -622, -740?\nAnswer: -856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 + 11*g - 8. Let c(y) = 46*y**2 + 2*y + 1. Let d be c(-1). Suppose 5*t + 0*t = d. What is the tens digit of u(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10241 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**2 + 7993*v + 7994.\nAnswer: -(v - 7994)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1291940281 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-6 - (-2 - (12 + 10)) - (-1 - -5)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/5  (b) -1  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b. Let s(g) be the first derivative of 0*g - 10 + 13\/3*g**3 + 0*g**2. Determine q(s(r)).\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -421 divided by -6?\nAnswer: 421\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**3 + 22*l**2 + 2*l - 24. Let a be d(22). Let h be 12\/8 + (-1)\/(-2). Suppose -4*v = -h*w - 6, -3*w = -5*v - 8*w + 30. Solve -v*r + a = -7*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 91 and 1071707.\nAnswer: 1071707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 36, 153, 460, 1047, 2004, 3421, 5388, 7995?\n\"Answer: 15*c**3 + 5*c**2 - 3*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1300 + 1271 - 35*g**3 - 2504 + 2*g**2 to l*g**3 + z*g**2 + q*g + x and give x.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.586 + 0.186. What is the third biggest value in -2\/11, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/549 and 133\/18.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 6, -9, -26, -45?\n\"Answer: -x**2 - 12*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 509989351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 620 = -28*i, 2*h + 1420*i - 42 = 1422*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -34*a + 14. Let f(b) = 69*b - 27. Determine -3*f(q) - 5*x(q).\nAnswer: -37*q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -dbdd23 - 1?\nAnswer: -dbdd24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -727 = -82*q + 175. Solve -35 = 6*b - q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -417767 - -417787. Suppose 0*a + 4*a = 1032. What is the least common multiple of n and a?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11306 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 107 = -45*u + 201. Sort u, 3, -9, 72.\nAnswer: -9, u, 3, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -770134216 divided by -992441.\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 5*b + 18 = -22, -5*b = -4*m + 23. What is the smallest common multiple of 28 and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114 = 55*l - 436 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2451*h - 39999. What is x(-18)?\nAnswer: 4119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 48\/7, 5, -5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-38)\/6 + 3)\/((-26)\/(-39)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -514 + 25?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 + 32*w - 207. Give k(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 + -129 - (2 + 3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11063*l**2*r**3*v - l**2*r**3 + 3*l**2*v**3 - 239437*l*r**3*v**3 + 7*l*v**2 wrt v.\nAnswer: 18*l**2 - 1436622*l*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 5, 1\/8, -44\/4953, -5?\nAnswer: -44\/4953","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 83319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 1057*o**3 + 6*o**2 + 30*o - 5504. Let f(b) = 2102*b**3 + 13*b**2 + 65*b - 11007. Let c(p) = -6*f(p) + 13*v(p). Differentiate c(a) wrt a.\nAnswer: 3387*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1327624 and 74.\nAnswer: 49122088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 7 = -r + 3, x - 14 = 3*r. What is the closest to 0 in -1\/5, x, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 31*g**5*u**2 + 7*g**2*u**2 - 2*g*u + 6*u**2 wrt g?\nAnswer: 620*g**3*u**2 + 14*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2938 + 323. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3187 is divided by 148?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3\/13 + 54\/65. Let o = 0.2 - 3.7. Let k = o + 0.5. What is the second smallest value in 5\/4, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2440 and 48.\nAnswer: 14640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 37936 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 4 = 3*p. Let u(r) = -r**3 + 4*r**2 - 5. Let f be u(p). Solve -m + 2*a - 5 = f*m, -m + 3*a = 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 - -1249?\nAnswer: 124b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (3\/18)\/(50\/(-40))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3471 is divided by 133?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 24648, -2\/9, -17?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -18*j + 195. Let i be b(0). Let u = 199 - i. Solve -u + 2 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2 + 55*c + 438. What is the remainder when i(-47) is divided by 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 80*r + 6. Let u(d) = -53*d - 4. Give -5*m(s) - 8*u(s).\nAnswer: 24*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*f = 5*r - 3 + 10, -3*r - 5 = 4*f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*z + 3*z**2 + 0*z + 6*z**2 - 3*z in the form t*z + h + j*z**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 32*(-16 - -8949) + 7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 156572 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 39297254*g - 18253290.\nAnswer: 39297254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, -3\/4, 2\/81?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwwwwwwetewwwttww. Give prob of picking 2 e.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + -4 + (-8 - 0) + -13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 58 + (7 - 8) - (4 - (15 - 19))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 5*b - 10 - 2*b**2 + 3*b**2 + 10 + 3. Let f(g) = g**3 - g**2 - 3*g - 4. Let x be f(3). Is 18 a factor of r(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 140056 - 199829. Let z = k + 59710.806. Let l = 62 + z. What is l rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 + 0 + 1 + (17 - (22 - 6))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2444992204 - 2444992204 - 8*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = 3*j + 5*l - 23, -5*j = l - 31. Let p be (-84)\/(-8) - 2 - 9\/j. Solve -12 = -p*k + 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/48, 0.1386, -1.6?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 38*v + 19*v + 570 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19 + -11. Let y be (q\/6)\/(3\/9). Suppose 5*r + 6 = y*w - 31, 4*w - 4*r = 40. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/6*2 - (-44)\/11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 91.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 38589895 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: What is -1 + -7 + (6 + -5 - (-7 + 11))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mejmmaaaam. What is prob of picking 1 m and 1 e?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 131 is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 317921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**2 + 2*a - 8. Let m = -21 + 15. Determine f(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 3 = 4*m, -w + 6 - 1 = -5*m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*t**2 + 4*t**2 - 2*t**2 + t**2 + 0*t**2 + t**2 + (2*t - t + 0*t)*(-t - 1 + 1))*(-144 - 173 - t + 80).\nAnswer: 3*t**3 + 711*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 5*q + 19 - 148, -2*t + 39 = q. Solve q = -26*p + 17*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 + 3*q**2 - 5*q + 3. Let k be y(-4). Find the second derivative of -2*m + 7 - k + 8*m**3 - 11*m wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:17 PM and 7:56 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ilooioooil.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011001 (base 2) in base 5?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 + -3. Let t = 0 - f. Suppose t = 2*n - 6*n + 212. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 3*q - 4 = 0. Let h(v) = 2*v. Let y be h(q). Find the common denominator of 7\/22 and (-322)\/(-180) + y\/10.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**3 - 10*n**2 + 3*n + 5. What is m(-3)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.1 + 0.1. Let z(h) = h**2 - 2. Let q be z(0). Let w be -2 + -5 + 4 - 21\/(-6). Which is the third smallest value?  (a) p  (b) q  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 1:02 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 + 17*b - 10. Let o be w(-18). Let q be o\/4 + 3*88. Let g = q - 159. List the prime factors of g.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2 + -6*(sqrt(76) - (sqrt(76) + 2*(sqrt(76) + -4)**2) - (sqrt(76) - (3*sqrt(76) + -3))**2) + 4).\nAnswer: -17904 + 2016*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -132, -125, -94, -27, 88, 263, 510, 841?\n\"Answer: 2*t**3 - 7*t - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 - ((-1)\/(-4) + 858\/(-360)). Which is the third biggest value?  (a) -1  (b) 0  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/(-1540)*16)\/((-4)\/(-10))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.8 + -14.2. Let w = c + 2. Let z = 15.83 + w. What is z rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -868599, -1737197, -2605795?\n\"Answer: -868598*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 4*r - 5. Let b(u) = -9*u + 10. Let q(v) = -2*b(v) - 5*p(v). Let x be q(0). Solve 3 = x*y + 28 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-3 - (-2 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -2*m**2 - 448272*m - 3137806 = 0.\nAnswer: -224129, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, -15955, 1 in descending order.\nAnswer: 5, 1, -5, -15955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1197005 = 4*p - 5*c + 1242995, 2*p = -4*c - 1220000. What is p rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 23 and -49\/106 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bcbuubbbade. What is prob of picking 1 u and 1 e?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Is 748278 equal to 8231072\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 + (-75)\/(-10))*(-177)\/(0 - 6\/(-4)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 176 = 3*h + 53, 4*h = 2*g + 164. Let w be 13 + -12 - (-2 - (h - 1)). Let q = w - 40. Calculate the smallest common multiple of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 278898 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 5*o**2 - o - 2. Let m(f) = 11*f**2 - 3*f - 5. Calculate 2*m(c) - 5*n(c).\nAnswer: -3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 5, 192, -5 in descending order.\nAnswer: 192, 15, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 79730 divided by -5695.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 12*r**2 + r + 1. Let d be j(-1). Suppose -4*m + d = -0. Solve -2*f - f + m = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 29 + -17 - (0 + (4 - 9)) - -60.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 28 and 6748.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 - 29. Let p = 26 + m. Solve 4*w**2 + 0*w**3 - 2*w**2 - w**p - 3*w**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 4.968721 litres?\nAnswer: 4968.721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 111 and 9694.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 185957, 181552, 174211, 163934, 150721?\n\"Answer: -1468*z**2 - z + 187426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -32 + 13. Let t = a + 19. Suppose t = -0*r + 3*r - 6. Solve 0*n - r*n + 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 PM and 8:59 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7272220 + 7272220 - 8*s + 2*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3763471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.3  (b) 1.7  (c) 0.3  (d) -3  (e) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7056 or -7052?\nAnswer: -7052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 94*y + 809 - 2440 + 818 + 813.\nAnswer: 94*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3595 divided by -1.\nAnswer: 3595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 476 divide 1200861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes after 10:50 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, i: 8}. Give prob of picking 2 x.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**2 - 4*c + 3. Let r(o) = -2*o + 2. Let y be r(-2). Let w be (-6*(-3)\/y)\/((-9)\/(-12)). Give p(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 133 a factor of 2926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cooc when four letters picked without replacement from noorrorcrvncrtc?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 + 1 + -1 + 2. Suppose -2*a - 21 = -3*a - 2*w, -u*w = -a + 21. Let o be (6 - 0)*14\/a. Solve 2*k - 7*k + 16 = i, k + o = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -188059 - 27?\nAnswer: -188086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 269 is divided by 88.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0278126 - 29.97.\nAnswer: -29.9421874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2*y**3 + 19*y**2 - 7*y - 13. Is x(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 65 in -15, -2.3, 4\/3, -20, 0.3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 3667674.23 to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 75 + -50. Let s = 19 - i. Let u(r) be the third derivative of -r**4\/12 - r**3 + r**2. What is u(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -159 - 176*k**2 + 324 - 165.\nAnswer: -176*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -92d + -26?\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h + f + 7248, 5*h - 36*f = -32*f + 18123. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + 2504?\nAnswer: 2510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 77*k**2 + 2656*k - 2656*k.\nAnswer: 77*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v**2 + 4*v - 13*v + 21*v + 13*v**2 - 12*v.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.11 + 3.99. What is a rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -102376771 rounded to the nearest 1000000?\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(5544\/919781) + (-2)\/(-11). Let q = -3520\/7 + l. What is the common denominator of q and (-1192)\/96*(-6)\/(-9)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103487846 to the power of 1\/3, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*(m*m*m\/(m**(-1\/14)\/m))\/m)\/(m\/(m*m\/m**12)*m)*(((m\/m**(-1\/6))\/m)\/m)\/m**(13\/5) assuming m is positive.\nAnswer: m**(-1193\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21728 and 54320?\nAnswer: 108640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 45 - 37. Let j = 38 + i. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -2*w - 2, -w - 4*y = -2 + 5. Let p be ((-14)\/6)\/((-2)\/24*w). Put p, 0, -1 in descending order.\nAnswer: p, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 7, m: 12}. Give prob of sequence nn.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5801 + 7669. Does 30 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -3743656 and -119796995\/32 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-4 - -2) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 385\/44*((-2660)\/35)\/19.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2209326 divided by -1?\nAnswer: 2209326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1885.608l in millilitres?\nAnswer: 1885608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-20))\/((-252)\/(-10))*(-336)\/168?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of 823*p**6\/15 + 1891*p**4\/12 + 67*p - 11. What is the third derivative of z(c) wrt c?\nAnswer: 39504*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1082 + 1086. Which is the nearest to -1?  (a) w  (b) -3  (c) -1  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.405  (b) -0.04  (c) 3\/11  (d) -0.2  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1908)\/(-27))\/((-4)\/(-6)). Let x be -1 - -2*f\/4. Let l = x + 811. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - p - 11, 3*l + 2*p = 1 + 4. Suppose g - 50 = -5*b + l*b, -3*b + 54 = g. Suppose z - g = -3*q + 39, 5*z - 41 = -q. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2040 + 2367. What is the highest common factor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 64 = u, u + 4*u - 280 = 5*d. Let j = -62 - d. Put j, -1, 1, 4 in descending order.\nAnswer: 4, 1, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -255, -510, -765?\nAnswer: -1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*r**4 - 119*r**3 + 3*r + 119*r**3)*(-1 + 1 + r).\nAnswer: -20*r**5 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of 3*z**7\/770 + 29*z**6\/1320 + z**5\/110 + 4212*z**2. Solve j(s) = 0 for s.\nAnswer: -3, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 AM and 6:42 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 0*l + 8 - 4 + l. Let j be d(-5). Let y(q) = -5*q**2 + 6*q - 5. Let u(v) = -v + v - 1 + v - v**2. What is j*y(w) + 6*u(w)?\nAnswer: -w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 60539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3333, 6681, 9945, 13125?\n\"Answer: -42*i**2 + 3474*i - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-135 - (51 + -112)) + 59.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from weyeeywwewwkewewq.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.83 and 0.43?\nAnswer: -0.3569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1176677 is divided by 7045?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -56, -63, -70, -77, -84?\n\"Answer: -7*m - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ec when two letters picked without replacement from eencncceeefeppnnnffn?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -5*-4*(-1)\/(-10). Let n(y) = 0*y**2 - 5*y**2 + 2*y**g + y**2. Let h(j) = 7*j**2. Calculate h(n(x)).\nAnswer: 28*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-46)\/(-14) + (-2)\/2. Let w = c + -237\/70. Find the common denominator of 77\/16 and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -9*q - 47. Let a be c(-5). Let j(d) be the first derivative of -d**4\/2 - 4*d**3\/3 - d**2\/2 + 2*d - 29. Calculate j(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the second derivative of -n**3\/2 + 11*n**2\/2 - 5*n + 154. Let z = 5 - -1. Calculate f(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/((-27)\/(-2))*(-3)\/(-3)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -35213312*s**4 - 47860703 wrt s.\nAnswer: -140853248*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f + 4 - 2*f - 2*f + 3*f**2 + f**3 + f. What is m(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -18 and -9474246.4?\nAnswer: 9474228.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*k + 3*k + k + (-3*k + 0*k + 5*k)*(-1 - 4 + 4) + 5*k - 3*k - 4*k + 5*k - 5*k + k to the form v*k + f and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 71 + 85 = 0. Let v(u) = -u**2 + 3*u + 2. Let k(m) = -7*m**2 + 19*m + 13. Let p(i) = y*v(i) - 6*k(i). Factor p(c).\nAnswer: 3*c*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -4\/5  (b) 5  (c) -2\/11  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3043302013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 2*j + 5. Let z be (11 - -1)*1\/2. Suppose 16*n = 14*n + 18. What is the remainder when p(z) is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(55)\/(1*sqrt(396) - sqrt(11)) + -1)**2 - (-1 + -5*sqrt(20)\/(sqrt(12)\/sqrt(3))))*-6.\nAnswer: -138*sqrt(5)\/5 - 66\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 246, 199, 138, 57, -50, -189, -366, -587?\n\"Answer: -s**3 - s**2 - 37*s + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2*j**2 + 35. Let l be (-14)\/63 - 2\/(-9). Suppose -5*g + l*g = 20. Let b(t) = -t**2 + 12. Let p(h) = g*q(h) + 11*b(h). Differentiate p(n) wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1803, -3601, -5401, -7203, -9007?\nAnswer: -10813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 9*t + 15. Let f(j) = -5*j - 12 + 5 + j. Let k(n) = 7*f(n) + 3*s(n). Calculate k(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*c - 2 + 154. Let y = 88 - 33. Calculate the remainder when y is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (143 + 317 - 117 + 122)*(k + 6*k - 4*k + (-2 - 2 + 2)*(2 + k - 2) + 1 - 2*k - 1)*(11 - 11 + k) as a*k**2 + z + i*k and give a.\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 69 - 109. Let i = c + 56. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -5*k - 3. Solve 0 + k = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the second derivative of 0 - 3\/5*c**5 - 8*c + 1\/4*c**4 + 0*c**3 + 0*c**2. What is the third derivative of f(h) wrt h?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 (base 9) in base 16?\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8948153 weeks in minutes?\nAnswer: 9019.738224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*k**2 - 3341*k**3 + 15*k**2.\nAnswer: -3341*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19 - 17. Solve -k*l + 9 = u - 4, -2*l + u = -7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -228 + 951 + 109*i - 235 - 230 - 103*i - 258.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1397320.\nAnswer: 2, 5, 181, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 3*h + 62 = 0, 16*h = -4*l + 87 + 193 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -481127 (base 10) to base 16\nAnswer: -75767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5)\/(-1) - (4 + -2). Suppose -4*b - 4*d + 20 = 0, k*d = -4*b + d + 20. Suppose 0 = -4*c + 2*x + 12, b*c - 3*x = c + 12. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22527 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, -18, -48, -98, -174?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + 1 + 6 + -5. Let t = q + 4. Solve -t*b = -3 + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3908525 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**1)**(1\/47)*(r\/(r\/(r*r**(-2\/5))))**35*(r**0)**14\/((r\/r**(-1\/4))\/r)**(-24) assuming r is positive.\nAnswer: r**(1270\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ofo when three letters picked without replacement from fohhhohooohoohooooo?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6117 and 32?\nAnswer: 195744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2\/195 + 601\/1560. Sort b, 10, 5 in decreasing order.\nAnswer: 10, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 + 7 = 5*t. What is the units digit of 399 - (4 - t)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7855 (base 12) in base 8?\nAnswer: -32001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 2*p + 2 = -0*c, -3*p - 5 = c. Solve n - 9 = -c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 + (-7)\/((-7)\/(-2)). Let s be ((-3)\/6)\/1*-10. Which is the smallest value?  (a) s  (b) m  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.2 + 1.7. Let l = -25\/66 - -1\/22. What is the second smallest value in -0.3, l, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z**3 + 61*z**3 + 140*z**3 - 4*z**3 + 0*z**3 - 4*z**3 - 4*z**3 - 2*z**3 + 4*z**3 + (5*z + 2*z**2 - 5*z)*(z - 4*z + 2*z).\nAnswer: 188*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (20 + 834\/(-42))\/(4\/3 + -1). Which is the third smallest value?  (a) -0.3  (b) -64  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2443 + 4342. Is w at most 6785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + 10. Let h = 1 + n. Suppose 2*p - 15 = h. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (84\/24 + -3)\/((-1)\/(-14)). Solve -s*o = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*k**3 + 2*k**3 + 7 + 1 + 20 - 2.\nAnswer: -k**3 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 74, 86, 128, 218, 374, 614, 956, 1418?\nAnswer: 2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -142*q + 147*q - 1240 = 0. Suppose 4*y - 244 = -q. Which is smaller: -8\/91 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**5)**(-1\/9)\/(n**3*n**(2\/17)))**2 assuming n is positive.\nAnswer: n**(-1124\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*a + 21 = s + 7*a, 13*a + 21 = -s + 5*a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qbxq when four letters picked without replacement from {x: 1, w: 3, j: 1, b: 5, q: 2, y: 8}?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**2)**(15\/4)*b**(-2)\/((b\/(b*b\/((b\/(b\/(b\/(b\/(b*b**14)))*b))\/b)))\/b) assuming b is positive.\nAnswer: b**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/50 of a micrometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -1, 4.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(-2))\/(t*t*t**(-3)\/t*t*t*t*t))**23 assuming t is positive.\nAnswer: t**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 + 7. Let o(p) = k*p + 0*p + p. Let l(i) be the third derivative of i**5\/15 - i**2 + 30*i. Determine o(l(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*s = 2 + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhhhhvhhhhhhh. What is prob of picking 3 h?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((54\/(-1))\/1)\/((-434)\/(-217))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-5 + -4 + sqrt(325)*3)*-3 + 2)**2.\nAnswer: -88560*sqrt(13) + 974596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 195, 782, 1763, 3138?\n\"Answer: 197*j**2 - 4*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 195 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 23 + -26 + -30 + 51\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -103*n - 3*n**2 + 103*n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 2223?\nAnswer: 2226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -458 - 30*v + 3*v + 25*v + 1330.\nAnswer: -2*v + 872","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 260 divide 10090661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -8*((-35)\/(-2))\/(-7). Let a be w\/25 + (-199)\/5 + 3. Let m = 42 + a. Solve -2*p = -m*p + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-4)*27\/(324\/(-40))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -522 + 450.65. Let v = g - -72. Round v to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 346 is divided by 51?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/785 in -512, -1\/12, 23, -2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 21 = 4*q. Suppose -5*r = -q*r + 8. Calculate the common denominator of r\/(-16)*(115 - 1) and 41.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 283786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 113 (base 11) to base 4.\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 257*i**3 - 3*i**2 + 2*i + 4. Let s(d) = -2*d**3 + d**2 - d - 2. What is n(o) + 2*s(o)?\nAnswer: 253*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -4*y - 2. Let v(r) = r**2 - 5*r - 20. Let c be v(8). Let n(l) = l - 2 - 5*l + 5*l - 5*l. Calculate c*n(b) - 3*k(b).\nAnswer: -4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1796?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssoa when four letters picked without replacement from osoozsoosooasyy?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-18)\/900*5 + 2\/4. Which is the smallest value?  (a) 188  (b) -3\/4  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 8*l = -6. Let x(h) be the first derivative of 0*h + l + 1\/4*h**4 - 1\/2*h**2 - 2\/5*h**5 + 2\/3*h**3. Let x(v) = 0. Calculate v.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 136393\/4727016 + -13\/4648. Calculate the common denominator of k and 43\/24.\nAnswer: 8136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -52*b + 17. Let w(t) = -142*t + 50. Let f(h) = -11*j(h) + 4*w(h). Give f(9).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 834422361*f**2*x**2 + 2*f**2*x + 2*f*x + 17028395*f wrt x.\nAnswer: 1668844722*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -2*n - 5 + 5 + n. Let o be 132\/28 + (-4)\/(-14). What is p(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.004041648428 to four decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4998223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000006610453434 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 597 = 3*s, 0*s = p - s - 306. Let b be (-1 + (-12)\/(-3))*62. Let x = p - b. Calculate the highest common divisor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/4*15\/20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11194*(-5)\/(-20) - (-3)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1120 divided by 2.\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 - x**2 - x - 5. Suppose 25*i = 30*i. What is l(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -15*d + d**2 - 20*d + 11 - 18*d + 69*d. What is f(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4086584 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8 * 6.39.\nAnswer: 51.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 450 and 1809700?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a - 4*a + 8*a = 0. Let k(s) be the second derivative of 13*s**3\/3 - s**2\/2 + 2*s. Let o be k(1). Solve -2*p - 5*m + o = -a*m, 4*p - 4*m = 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*k - 3*k - 5*k)*(1 + 1 - 1) + 14 - 6*k - 14 - 28*k - 53*k + 186*k as f + w*k and give w.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/110246 and -44\/1939?\nAnswer: 771722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 487 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 799952 is divided by 581.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 8*l = -80. Let i be l\/20*(1 - (2 + -10266)). Suppose i = -3*j + 7*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -3*m**3\/4 + 2583*m**2\/2 - 541512*m - 12546336 = 0.\nAnswer: -22, 872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(210)\/sqrt(5)*3)\/(sqrt(96)*-1 - sqrt(6) - sqrt(6)).\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19, 27, 35, 43, 51?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 62236751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w**2 - 3*w. Let k(v) = -4*v**2 + 6*v. Let j(t) = -5*t**2 + 7*t. Let c(r) = 6*j(r) - 7*k(r). Give z(c(n)).\nAnswer: -8*n**4 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 6, -1\/6, -1\/5, -2\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-4)*360\/(-750))\/(24\/15)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6 - 904\/(-168)) + 1\/3. What is the closest to a in 2\/7, -0.5, -3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 43, -6\/5, 35?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -40, 4 in descending order.\nAnswer: 4, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 117811 by -13.\nAnswer: -117811\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 57340 + -37629. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 3*w + 43431 = 7*j, 3*w = -5*j + 72375. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 AM and 4:44 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 10022002 (base 3) in base 14?\nAnswer: c3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-14))\/(1245\/(-996)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**0)**(2\/9))**(-11) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*f**2 - 6*f**2 - f + 2*f**4 - 5*f**4 - 8*f**2 - 10*f**3 + 0*f**4 to g*f**4 + m + h*f**2 + r*f + v*f**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2300 = -3*y - 20*y. Suppose -4*f = -4*m, 5 = m + 3*f + 1. What is the tens digit of -3 - -7 - m*y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 + 4*q**2 - 3*q + 1. Let z(v) = v**3 + v**2 + v + 1. Calculate t(o) - 2*z(o).\nAnswer: -o**3 + 2*o**2 - 5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {u: 2, r: 9, f: 4, b: 3, x: 1}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6\/(-9)*-2)\/((-6)\/(-27)). What is the first derivative of 10 + x*d**2 + 11 - 27 wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 180467*g**3*m**3 + 8*g**3*m**2 + 2*g**2*m**2 + 2*g**2*m + 408*g*m**2 wrt m?\nAnswer: 1082802*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z**14*z)\/((z\/(z*z**(3\/8)\/z))\/z))**(6\/11))**(-33))**(2\/11) assuming z is positive.\nAnswer: z**(-1107\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.15 in -205, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26638.\nAnswer: 2, 19, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 9 = 2*j - 6*i, 8 = -2*j + 2*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 0 + 4 - 4 - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.38 - -0.08. Let b = z - -0.5. Let m = -7.3 - -7. Put -0.5, b, m in descending order.\nAnswer: b, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 AM and 2:15 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1853, -32, 4, -2 in ascending order.\nAnswer: -32, -2, 0.1853, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 18971759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 14  (b) -1  (c) 185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15 - 2. Suppose 24*q - 29*q - 90 = 0. Let i be (-16)\/(-120)*q\/(-4). Which is the fourth biggest value?  (a) 3  (b) i  (c) j  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**2. Let a(p) = 99*p. Give j(a(h)).\nAnswer: 9801*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - 8f?\nAnswer: -8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2\/156153 - 19206739\/6246120. Calculate the common denominator of -179\/60 and o.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2139 + -2137. Factor -4\/3 - 2\/3*g**2 - s*g.\nAnswer: -2*(g + 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of -b**6\/150 - b**5\/20 - 3*b**4\/20 - 7*b**3\/30 - b**2\/5 - 12*b. Suppose a(r) = 0. Calculate r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 245120 (base 7) to base 6.\nAnswer: 544152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1485744.44 rounded to the nearest one thousand?\nAnswer: -1486000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5, -1\/5, 395 in ascending order.\nAnswer: -5, -4, -1\/5, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1613 is divided by 511?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1505)\/(-602))\/((-25)\/490).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -87, -2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 - (10 + -1) - (3 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6736.045 + -6736. Round v to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (0 + -1 + 3 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2114 and 50434.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -3*d + 3. Let n = -7 + 8. Suppose 5*u - 19 = n. Calculate f(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 AM and 6:21 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g + 40. Let v be p(32). Suppose 29 + 75 = -v*u. Let j = 3 + -1. Sort j, u, -1, 5 in ascending order.\nAnswer: u, -1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*n**5 - 14*n**5 + 76*n - 8 - 116*n**4 + 5*n**5 + 3*n**5 + 6 wrt n?\nAnswer: -40*n**3 - 1392*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (31*k**3 - 63*k**3 + 27*k**3)*(3 + 4 - 5)*(-k + 0*k + 3*k + 1).\nAnswer: -20*k**4 - 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95 is divided by 37?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.9 - -1.1. Let r = -28.9 - -31. Let v = r - -0.9. What is the biggest value in 0.3, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxxxxxxlxxx. What is prob of picking 1 l and 1 x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (9\/6)\/(6\/(-16)). Let b(f) = -f**2 - 3*f + 2. Let q be b(h). Sort -3, q, 1 in descending order.\nAnswer: 1, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**3 + 15*w**2 - 30*w - 3. Let l be n(-14). Suppose -2*x = -x - l. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2716350 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (22 - 19) + 1 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -7 + 7 - 3\/(-15). Let b(z) = 4*z - 17. Let f be b(4). Put f, 0, -1\/3, y in increasing order.\nAnswer: f, -1\/3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ifzfvhze. Give prob of picking 1 i, 1 v, and 1 h.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**5)**(1\/21))**(1\/38) assuming j is positive.\nAnswer: j**(-2\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/(-6))\/(2\/(-3)). Suppose 0 = 5*a - 10, a - p = -4*d + 21. Let o be 155\/d - -1*1. Solve 0 = k - 4*c + 11 + 12, 4*k - 4*c + o = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 738027 is divided by 367141.\nAnswer: 3745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111100001010 (base 2) to base 8.\nAnswer: 7412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of 121*u**5\/12 + u**3\/3 - 5*u**2 - 3*u + 56. Let k(g) = -4*g**2. Calculate k(q(p)).\nAnswer: -1464100*p**4 - 9680*p**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of -2 + 19\/2 + (-1)\/(-2) and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d - 20 = -0. Solve 0 = -d*r - 6*r + 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 5*y**4 + 32*y**3 - 3*y - 728. Let o(b) = 9*b**4 + 63*b**3 - 5*b - 1458. Let p(l) = 5*i(l) - 3*o(l). Find the first derivative of p(f) wrt f.\nAnswer: -8*f**3 - 87*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -18 + -7 + 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11640 is divided by 457.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 25781 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxbrbxbxr. What is prob of picking 4 x?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 24*p - 19. Let l(g) = 4*g - 3. Let q(y) = 34*l(y) - 6*u(y). Let r(t) = 1. Let x(b) = -2*q(b) + 10*r(b). Is 8 a factor of x(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -152 * -2251\nAnswer: 342152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116 = 3*u - 806. What is the greatest common divisor of u and 140?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15535?\nAnswer: 5, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -4*d - 194. Let j = d + 91. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.7 - 21.83.\nAnswer: -19.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 20 = 4*q, 4*q + u = -6 + 18. Which is the third smallest value?  (a) -5\/4  (b) q  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-62)\/(-16)*21400\/2675.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -5*t + 4*a - 43, 0 = -2*a + 16 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/2451*6\/(-126).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r**5 + 26*r**4 + 165*r**3 = 0. What is r?\nAnswer: -15, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -11002021 (base 3) to base 2\nAnswer: -101110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 363 and 847?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -20128015 and 1.109.\nAnswer: -20128013.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.08 and 18.\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1\/2, -1\/5, 660?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 94 = -4*s - y, 2*s - 3*y = 57. What is the highest common factor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5673?\nAnswer: 3, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k**2 - 12*k - 108. Let h be l(11). Solve 3*b - h*b = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3fda5 (base 16) in base 11?\nAnswer: -169555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) 0  (c) -877\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 188730 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21 - -41. Let g = -14 - 9. Let r = -12 - g. Calculate the remainder when s is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*m - 5*m + 2*m)*(10*m**2 + 35*m**2 - 8*m**2 + 8*m**2 + 17*m**2 + 25*m**2 + (-m - 3*m + 3*m)*(0*m + 0*m + m)).\nAnswer: 86*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 4070413, 4070365, 4070317, 4070269, 4070221?\n\"Answer: -48*a + 4070461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, -30, -36 in descending order.\nAnswer: 23, -30, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/44792384 and 123\/55990480.\nAnswer: 223961920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-6)*99\/(-66)*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 194904, 195676, 196448, 197220, 197992, 198764?\n\"Answer: 772*o + 194132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 444 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-536)\/(-2345))\/(8\/10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 2813356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes after 4:19 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, -65, -241, -577, -1127?\nAnswer: -1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 4, 4*n - w - 17 = 66. Suppose 2*a + n = 5*t - 0*a, -4*a = 12. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 7:36 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -11276  (b) -0.1  (c) 0.4  (d) 71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/4 + (-36221)\/116. Is -313 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 235, 495, 755?\n\"Answer: 260*o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/(x\/x**(12\/5))))**(-21)\/(x\/(x**(3\/10)\/x)*x**(-30)) assuming x is positive.\nAnswer: x**(577\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 26 - 21. Let a = 144 + -140. Suppose 0 = -3*h - 4*p + 3*p + 8, -h - 19 = -a*p. Sort -4, b, -5, h in increasing order.\nAnswer: -5, -4, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.1 - -1.7. What is the closest to -1\/2 in 6, q, 4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 21*m - 4*m - 13*m + 26.\nAnswer: 4*m + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 + 3 + -4)\/3. What is the second derivative of -2 - 5*w - 16*w**2 + 2 + y*w wrt w?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2 and -97.422?\nAnswer: 95.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -15\/2 equal to -653103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = -5*d + 95. Let p be d\/29 + 1*17. Suppose s - 29 = -4*k, -2*s - s + 39 = 4*k. Calculate the highest common factor of p and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 145068240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-8)\/b**(2\/13)*b**(2\/9)*b**(-8)\/b)**37 assuming b is positive.\nAnswer: b**(-73297\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 112 - 80. Suppose i + z - 224 = 0. Does 24 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 277466*s. Let y(g) = -2*g**2. Determine m(y(r)).\nAnswer: -554932*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 10*k**2 + 6. Let j(d) = -4*d + 175. Let p(r) = -3*r + 75. Let i(b) = 3*j(b) - 7*p(b). Determine c(i(y)).\nAnswer: 810*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (0 - (2 - 11)) + -18 + -57 + 4?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = -21*l - 31 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20442 = 25*t - 22242 for t.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -246, -2929, -10208, -24381, -47746, -82601, -131244, -195973?\nAnswer: -279086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 9*t - 5. Let a be k(3). What is the greatest common factor of a and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1879911  (b) -3  (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -2579756 + 2*t - 2*t + 2579756 - 9553*t**2 in the form d + j*t + b*t**2 and give b.\nAnswer: -9553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6299518cm to micrometers.\nAnswer: 6299.518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + -19 + 21 - -14 - -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33498871 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**1)**(-50))**(-12\/5))**(-11\/3) assuming s is positive.\nAnswer: s**(-440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(2 + (sqrt(1224) + sqrt(1224)*1)\/(sqrt(2) - (sqrt(242) - sqrt(242)*1 - sqrt(242)))))**2.\nAnswer: 144*sqrt(17) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1367948 divided by 1?\nAnswer: -1367948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -675 + 669.941. What is h rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 616 and 84448?\nAnswer: 928928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 35621121 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*16\/(-16))\/(4\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 26*w - 31*w - 20, -4*h + 14 = 3*w. Solve 4*j - 30 = 2*g, -17 + 2 = h*g + 2*j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 + -112 + 166)*(-5)\/(105\/6) + -104.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 + 31*x**2 + 28*x + 50. Calculate p(32).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 divided by -12?\nAnswer: -127\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36, 9, -14, -15, 24, 121, 294, 561?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes after 8:42 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2335306 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -236 - -379. List the prime factors of r.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2, 0.518, -0.1, -0.3, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2 + 16*q**2 + 15*q**2 + 24*q**3 - 30*q**2 wrt q.\nAnswer: 72*q**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 774 + -2416. What is the units digit of k\/(-14) - 54\/189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 7 - 333. List the prime factors of z.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 2*l + 2*l - 5*l - 19 - l. Let z be r(-10). Sort z, 2, -12 in increasing order.\nAnswer: -12, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 7*b - 5*b. Let q = -2 + b. Let p(l) = 11*l**3 + 2*l**2 - 3*l + 1. Let f be p(1). Calculate the highest common factor of f and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 22832410.661 and -2.\nAnswer: 22832408.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/4)\/(7\/84*-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2667 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 68\/(-7) + 5 + (-5 - -10)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 61, -3, -1\/9 in increasing order.\nAnswer: -3, -1\/9, 7, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 4\/15 of a day?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u - 7. Let y be x(-6). Let c = 4 + y. Suppose c*i - 35 = -2*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 10605*n - 25. Let d(m) = -304*m. Calculate d(p(t)).\nAnswer: -3223920*t + 7600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4043323\/114 + 35468. Find the common denominator of (-1470)\/80*2*(-2)\/27 and w.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = v + 42 - 16, -5*i + 86 = -3*v. What is the closest to 0.3 in v, -1, -2\/13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6648 by 12.\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/((s*s*(s\/s**(1\/8))\/s)\/s)*s)**18\/((s**(-1\/6)*s*s)\/(s*s**(-3\/11)*s)) assuming s is positive.\nAnswer: s**(2659\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - -2 - ((115 - 9) + (-53 - -44))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -95*g**2. Let v(n) be the first derivative of -n**3 - 259. Determine v(s(j)).\nAnswer: -27075*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8 - 8 + x**3 + (2*x + 6*x**2 - 2*x)*(2*x - 4*x - x).\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + 2*h. Suppose h = -w - 2*j - 8, -3*w + 9 = -w - j. Solve 3*k + 8 = -w*b, 3*b - b + 4*k = -12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 23*a - 950. Calculate m(41).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6173*h**3*v*x - 3*h**3*v - 4301*h**3*x - 2*h**2*v + h*v*x - 3783141*h*v wrt h.\nAnswer: -37038*v*x - 18*v - 25806*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 5*o + 14. Suppose -5*m + 9 = 4*k, 5*k + 18 + 7 = m. Let j be h(k). Let l(b) = b**2 + 6*b + 15. List the prime factors of l(j).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 798.62 rounded to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7.1 - -7. Let i = -68\/3 + 23. Which is the closest to i?  (a) -3  (b) -1  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 140195717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 4 - p**3 + 8 - 6*p**2 + 0*p**3 + 16*p - 9. Let k be b(-8). Is 8 - k - (-45 - -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 3*c**3 + 10*c**2 + 13*c - 5. Let v be m(-2). Is (-3)\/v - (-8718)\/10 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*y - 4*o - 2, -2*o + 2 = -0*o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46577 is divided by 9283.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 258 + (-7 - (1 - 3))?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22 + 215*w**3 - 204728*w**2 + 8*w**3 + 204727*w**2 - 33*w**3.\nAnswer: 190*w**3 - w**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11557763 is divided by 463?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 9, z: 9, e: 1}. Give prob of picking 3 t and 1 z.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 2*j = 21, -2*l - 5*j = -49 + 7. Let n = 41\/2 - l. Is n less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n\/n**(-37)))\/(n*(n\/((n**(3\/10)\/n)\/n)*n)\/n)*n*n\/(n\/(n\/(n**(-5\/4)*n)))*n*((n\/(n*n**(-35)))\/n)\/n assuming n is positive.\nAnswer: n**(-89\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*s**3 + 11*s**3 + 16112*s**2 - 16112*s**2.\nAnswer: 51*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 211 is divided by 45?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o - 12*o = -10. Suppose f = -2*r + 23, -o*f - f + 57 = 3*r. Suppose -f = -2*b + 113. Is 32 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -195 = -7366*r + 7353*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5760\/(-170) + -38 + 72?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -47445, -47452, -47459, -47466, -47473?\n\"Answer: -7*m - 47438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -43 and 1605955785811.\nAnswer: 1605955785768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 4*g - 215 = 0. Suppose 86 = -4*b + 3*s, -3*b + 7*b + s = -94. Let l = b - g. Solve -3*w = 2*w - l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 423 = 5*o - 102. Let r be (-2)\/14 + o\/49. Solve -10 = -f - f, r*b - 12 = -2*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4274124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81590625?\nAnswer: 3, 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000006096 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-19 - (14 + -25))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2627*u - 19228 = 4375*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1853*o - 744*o - 869*o = -3600 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/125 and -4\/275?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1468547.\nAnswer: 1468547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 197050 and 1478400.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*b = -58*b - 104 - 58 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3451.\nAnswer: 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1467 and 87193753?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-12)\/5)\/(2\/(-5)). Suppose 9 = -c*z + 39. Suppose -158 = -4*d - d + 3*v, -z = 5*v. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (4\/(-6))\/((-2)\/(-6)). Let j(b) = -22*b**3 + 3*b**2 + 2*b - 1. Is j(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -203\/3182 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2*a. Let n(b) be the first derivative of 0*b**3 - 15 + 17*b**3 - 2*b**3 - 74. Give n(s(o)).\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 31860 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.093+-8504234\nAnswer: -8504233.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 516 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n - 5. Let w be k(12). Let g(b) = -b - 1. Determine g(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -183 - -252. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((2 + sqrt(425))*-2)**2 - (3 + -2*sqrt(425) - ((sqrt(425) + -1)*4 + sqrt(425) - sqrt(425)))**2.\nAnswer: -13636 + 500*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 13\/(-1)*(-814)\/481. What is the greatest common divisor of 1474 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 4*a - 2 = 0, 231*x = 236*x + 4*a + 106 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 22 - 16. Let r be (-1)\/(-3) + 30\/(-9). Let h = j + r. Solve 0 = 5*v + h + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 6*h**2 + 28*h - 7. Let l be c(-5). Is l\/(-3) + 1125 - (-1 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -30685.3018 and 4.\nAnswer: -30681.3018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 355 by 71.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, -107, -270, -499, -788, -1131?\nAnswer: -1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 2 z when three letters picked without replacement from xzzvvexzzzzzxv?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 - 12. Let m be (-1)\/(20\/(-8) - f). Suppose 0 = -3*a - 3*o + 147, -6*a + 168 = -m*a - 3*o. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the second derivative of 0*x**2 + 0 + 9*x + 1\/6*x**3 - 19\/12*x**4. Determine a(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 162 not equal to 12.084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3 + 5*q**2 - 3*q. Let k be j(4). Suppose 5 = k*n - 3. Suppose 3*g + g - n*r = 600, 0 = -g - 3*r + 143. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-15)\/f)\/f**6)\/((f*f**(-5\/3)*f)\/(f*f*f**(9\/4)*f*f*f)) assuming f is positive.\nAnswer: f**(-181\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z + 22712 = 27*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 98*o - 53. Calculate the remainder when a(5) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15668581.\nAnswer: 15668581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*w + w**2 + 51 - 21 - 89 + (5 - 3 + 0)*(-2*w**2 + 5*w**2 - 2*w**2).\nAnswer: 3*w**2 + 3*w - 59","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1435 and 5985385?\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -11554, -30276, -48978, -67654, -86298?\n\"Answer: t**3 + 4*t**2 - 18741*t + 7182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 70635386 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2565943 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) 0.445  (b) 51\/5  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 20*j**4\/13 + 354*j**3\/13 - 1140*j**2\/13 - 4496*j\/13 - 1920\/13 = 0. Calculate j.\nAnswer: -20, -2, -1\/2, 24\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -203 divided by -4?\nAnswer: 203\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 >= 77.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a - 3*k - 2*k + 50, -4 = -a - 4*k. Let b = 33 - a. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.95 + -0.05. Let q = -12.2 + 25.5. Let h = q + -13. What is the biggest value in h, i, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 + -2. Suppose 0*r + 45 = 3*r. Let t = r - d. What is the remainder when t is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -36  (b) -5  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1892, 3812, 5752, 7712, 9692?\n\"Answer: 10*z**2 + 1890*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from wccccwwccccccc.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-8) - (-25409852)\/816. Let u be 2\/(-5) - 1245504\/40. Let a = u + j. Calculate the common denominator of a and -121\/6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -571691057 or -571691053?\nAnswer: -571691057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2*s**2 + 14*s + 27. Give z(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4512*a**3 - 3528?\nAnswer: 13536*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**3 - 31*d**2 - 101*d - 2113. Calculate y(-30).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 + 15. Suppose 4 = z + r*m - 6, 70 = 4*z + 5*m. Is (-3 - z\/(-5))\/(3\/1137) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78\/(-611) - 3547670\/40373?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*s + 6*s - s)*(s + s - 3*s) + 1 + 7 + s**2 - 14 in the form l*s + k*s**2 + f and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*i**2 + 443*i + 437*i - 9*i**2 - 880*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 21 = -3*a, 4*j - j + a = -4. List the prime factors of ((-396)\/(-30))\/(j\/(-15)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*n + 101*n - 1448392 - 2200267. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3660, -29295, -98874, -234369, -457752, -790995, -1256070, -1874949?\nAnswer: -2669604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 15155, 16357, 17569, 18791, 20023, 21265, 22517?\n\"Answer: 5*q**2 + 1187*q + 13963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -521095\/136 or -3832?\nAnswer: -521095\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 8, t: 5}. Give prob of picking 2 t.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 times -1?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.08, 2\/3, 900?\nAnswer: 900","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 211816.\nAnswer: 2, 11, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.5, 5, -184, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**2 + 13*d + 10. Calculate the smallest common multiple of a(13) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 358112 and 589.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -13160 (base 7) in base 16?\nAnswer: -dc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3 - -3*4\/3. Let x(b) = o - 1 - 1. Suppose 59*u - 3*s = 64*u + 20, u + 6 = -s. Let w(l) = -3*l + 2. Determine u*w(h) - 3*x(h).\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30022 and 1496.\nAnswer: 1320968","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of i**5\/150 - i**4\/15 + 4*i**3\/15 + 25*i**2 + 1. Factor d(o).\nAnswer: 2*(o - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15 + 8. Suppose -5*y = -v - 2. Solve 2*n + 5 = -y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + (-14)\/(-4))*6205\/3285?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32 and 11409672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, z: 2, x: 2, j: 4}. Give prob of sequence jdz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f**2 - 38*f + 31. Let i = -1618 + 1636. Calculate t(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -52 divided by -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -3*u. Let g(m) = -1. Let x(q) = -12*q**2 + 8. Let p(w) = -2*w + 20. Let i be p(14). Let n(t) = i*g(t) - x(t). What is n(r(v))?\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 9  (b) 25  (c) 1\/7  (d) -0.1  (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*x + 3. Suppose 5*i + 42 = 2*u, x*i = 3*u + i - 29. Calculate the remainder when 42*2*2\/4 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, w: 2, b: 5}. What is prob of picking 1 w and 2 b?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4, 0.3, -2, -1\/26, 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 835000 to the nearest ten thousand.\nAnswer: 840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llq when three letters picked without replacement from lqqlqllllq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -123 + 127. Let r(l) = 3*l - 5. Suppose 0 + 15 = 3*c. Let p(w) = -4*w + 6. Calculate c*r(t) + g*p(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16*u - 27*u - u**2 + 12*u - u**2 + 2*u**2 - 3*u**2 + (2*u - 3*u - 3*u)*(-2*u + 0 + 0).\nAnswer: 5*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3955.4 + 3955.8. What is the second smallest value in -125.7, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**2*t\/((t**(-1\/4)*t)\/t))\/(t**(-1\/3)*t)**(20\/3) assuming t is positive.\nAnswer: t**(-43\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = u + 128, 5*p - 5*u - 185 = 145. Let s = -27 - -38. Calculate the remainder when p is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i + 4. Let g be t(5). Differentiate -13*d**3 - 25*d**3 - g + 26*d**3 with respect to d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 338 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 423 = j, -2*s + 135 = 4*j + 1837. Let r = -167 - j. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 722*s + 17570 = -480 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 233032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 155359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*a**2 + 2*a**2 + a**2 + 15*a**2.\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2701 (base 13) in base 4?\nAnswer: -1113022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -32 + 35. Suppose -q*r - r - r = 0. Suppose -4*z + 64 = -r*z + 4*s, 2*z = 5*s - 3. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) -1  (c) 45.3  (d) -166  (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 53443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d + d + 3*d + (-6 + 3 + 2)*(-2*d + 0*d + d) + 0*d - d + 2*d + 86*d - 967*d - 479*d.\nAnswer: -1356*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-22))\/((522\/594)\/29) + 38.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4280?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u - 3*u + u**3)*(-31*u**2 + 6*u**2 - 11*u**2) + (0*u**3 - 3*u**3 + u**3)*(-3 + 3 - 2*u**2).\nAnswer: -32*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pphppppp. What is prob of sequence ppph?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 1 = 2*b - 17, 0 = -5*b + 4*j + 19. Solve -b = -3*w - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 102, 145, 204, 273, 346, 417?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from yzyzzczycyyyyczyzz.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-63)\/9*(-273)\/(-39)*(-174)\/(-147)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3673325775 to the power of 1\/4, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 - 25 = -13*c. Suppose -c*k + 663 = -3*f, k - 4*k + 2*f + 667 = 0. Is k a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence olhl when four letters picked without replacement from {l: 2, n: 1, e: 7, h: 4, o: 1}?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dtxddddxvnddin. Give prob of picking 1 d and 1 t.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 3165000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 489*u - 36188. Calculate c(74).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 103132666 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7544021481?\nAnswer: 3, 103, 397, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 + 14*t**2 + 4*t + 19. Calculate f(-14).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.3  (b) -7  (c) -4  (d) 2\/4253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4367145 and 180.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 447292\/24 - -9 - 20\/(-24).\nAnswer: 29, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4522954321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + -10001010?\nAnswer: -10000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 4446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 12216806*h - 17009319 wrt h.\nAnswer: 12216806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the second derivative of m**4\/12 - m**3 + m. Let f be z(6). Put f, -1, -2 in decreasing order.\nAnswer: f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -27*j - 107. Let w be d(-30). What is the highest common divisor of w and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 5*c - 7, 4*c + 0*c + 4 = 0. Suppose 0 = -m*w - 216 + 668. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26325475 is divided by 326?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-21)\/(-5 - -2)*-1. Let u(f) = f**2 + 6*f + 9. Let y be u(v). Round y to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1885668 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2720720 divided by 2.\nAnswer: -1360360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 - (0 + 3) - (13 - (10 + (-14 - -18)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 7\/(-10)*-2 + -1. Let l = 0.00629 - 0.30629. Sort l, t, -11\/2.\nAnswer: -11\/2, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -73796 - 19026*j**2 + 73796 to f + q*j**2 + z*j and give q.\nAnswer: -19026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 246.52 from 0.2.\nAnswer: -246.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -2*h - 2*h + 52, 0 = -2*h + 4*x + 22. Find the second derivative of 15*v**3 - h*v**3 - 14*v**5 - 16*v wrt v.\nAnswer: -280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, -5, -14, -25, -38, -53?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10109 - -967.61?\nAnswer: 11076.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -232*g = 251*g - 10626 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in twenty-one fifths of a millennium?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l*l\/(l\/l**13)*l**(-12)\/l assuming l is positive.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 1074*t + 15039. Let i be a(-14). Let g = -1 - -4. Suppose -5*u + 3*z = -88, 2*z = 2*u - g*z - 20. Solve -20 = 5*w, 0*v + 2*w = i*v - u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.25 + -0.25. Let q(k) = -4*k**2 - k + 13. Let t be q(4). Let l be t\/(-63) - ((-27)\/21)\/(-3). Sort y, l, 1\/3 in decreasing order.\nAnswer: l, 1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (7 - 37) + 10.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-34)\/(-289) - (-2362)\/(-136). Suppose -20*b + 18*b = 34. Are b and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(27\/((-216)\/(-16)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 3*s**3 + 59*s**2 - 584*s - 686. Let x(a) = -21*a**3 - 393*a**2 + 4086*a + 4803. Let n(h) = -15*w(h) - 2*x(h). Factor n(u).\nAnswer: -3*(u - 6)*(u + 1)*(u + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21 - 16 + 34 - 43*i)*(-12 - 26 + 1).\nAnswer: 1591*i + 111","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 + 4*f + 3. Let k be t(4). Suppose 5*a = -3*l - 37, 0 = -2*a + a + 2*l + k. Suppose -339*y + 7 = -332*y. Put y, 4, a in descending order.\nAnswer: 4, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8 + 7 + 6654 + 6. Suppose -n = -4*s - s. What are the prime factors of s?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 22 = 5960*z - 5961*z, 38 = 5*z - c for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 + 3*f + 10. Let r(y) = -6*y**3 - 2*y - 3. Let u be r(-1). Let o be k(u). Solve 4*x + 20 = 4*j, -4*j - 5*x = -o*x - 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 8*r - 10 + 10 + 5*r + 15*r - 7. Let u(m) = 9*m - 2. Give 6*g(k) - 21*u(k).\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 22247 - -14?\nAnswer: 22262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 57 - 57. Let r be (2 - 0 - 1) + -2. Is r smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes before 11:52 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -d - 400 + 131 + 106 + 163.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*y - 17*y - 24 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2504 * 0.06.\nAnswer: -150.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 717?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - 2302?\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 430*u - 11748 = -104*u for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1354973?\nAnswer: 43, 31511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-3))\/((-9)\/27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -42, -7, 11077 in decreasing order.\nAnswer: 11077, -7, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 0.2, -0.1, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j**4\/23 + 450*j**3\/23 + 40304*j**2\/23 - 1170528*j\/23 + 4008960\/23 = 0 for j.\nAnswer: -87, 4, 20, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 537 = 5*f - 1073, 4*f = 2*u + 1290. Calculate the greatest common factor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 55, 42, 5, 31.\nAnswer: 5, 31, 42, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72)*-1 - sqrt(72)) + 5 + 0.\nAnswer: -12*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-2 + 1*(-2*sqrt(405) + sqrt(405) + -2)) + -3)**2 + 1.\nAnswer: 1530*sqrt(5) + 10415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6495035 litres in millilitres?\nAnswer: 649.5035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.54475, -0.1, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66 and 572232.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 4*x. Let z be y(-2). Let l(r) = -7*r - 3. Let w(v) = -11*v - 5. Let b(q) = z*l(q) + 5*w(q). Let t be b(0). Which is smaller: 3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-30)\/(-3)*(-2)\/(-15). Let y = 14786 + -14784. What is the nearest to -0.1 in o, -1\/6, y?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the first derivative of -t**4\/4 - 2*t**3 - 3*t**2 - 8*t - 72. What is o(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 7)*(-3*p**4 + 4*p**4 + 5*p**4).\nAnswer: -30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s + s - s)*(-694*s**4 - 877*s**4 + 303*s**4).\nAnswer: 1268*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24 + (-11 + (88 - 67) - (0 + 23)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -1. Let f = 12 - l. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -11*o + 5. Let f(k) be the third derivative of 2*k**4\/3 - 7*k**3\/6 + 41*k**2 - k. What is -7*d(v) - 5*f(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5508 - -1228?\nAnswer: 6735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 - 14*b - 55. Let q be o(-7). Let z be q*(-10)\/(-100) - (-96)\/10. What is the highest common factor of 36 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18021121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 516, 0.5, -5\/2, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 5*r**3 + 37665*r**2 + 94576815*r + 79160794155 = 0.\nAnswer: -2511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + 10 + -9 + -3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 + -1244131434.6?\nAnswer: -1244131434.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 3*x**5 + 891*x**4 + 12312*x**3 - 111012*x**2 - 1254816*x - 2680128 = 0.\nAnswer: -282, -18, -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 6\/((5*(-17)\/(-340))\/(2\/132))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 2. Let f be (0 - 0)*1 + k. Suppose 0 = -0*g + f*g - 20, -2*y - 2 = -g. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 5*s**2 - 2*s**2 - 11 - 9 - 2*s**2 + 39 + 27*s. What is q(-25)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1459, 10221, 33569, 78793, 153183, 264029?\nAnswer: 418621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 84, 133, 192, 267, 364, 489?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 13, 158, 545, 1294, 2525, 4358?\n\"Answer: 20*x**3 + x**2 + 2*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 192\/6*((-3 - -2) + 3). Solve w**2 - b*w - w**2 + 0*w**3 + 4*w**3 - 80 - 4*w**2 = 0 for w.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4064141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -74, -115, -158, -203, -250, -299, -350?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (9*n**2 + 17*n - 17*n)*(0*n + 3*n + 4*n)*(-5 + 5 + 1) as z*n + v*n**2 + y + q*n**3 and give q.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 228, 457, 686, 915, 1144, 1373?\n\"Answer: 229*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8790 by 3.\nAnswer: -2930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + -3. Suppose -s*q = -9*q. Suppose f + 25 - 78 = q. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4388254 is divided by 124?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oho when three letters picked without replacement from hohhohhohh.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 2*k - 12. Let l(c) = -c**2 - 11*c - 5. Let o be l(-10). Let g be d(o). Put 0, g, 5 in descending order.\nAnswer: 5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = 4*a + 4*f, -7*f + 2*f = 3*a - 31. Suppose a*s + 34 = -1. What is the second biggest value in 3, s, 1\/10, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*n**2 + 40*n**2 - 14*n**2.\nAnswer: 74*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of 45689629125091 and 2.\nAnswer: 45689629125093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32351 - 16084 - 16267 - 34*o.\nAnswer: -34*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lpp when three letters picked without replacement from {g: 13, p: 2, x: 2, l: 2}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(144)\/sqrt(4) - sqrt(36)))\/(sqrt(242) + 2*sqrt(242)))\/(sqrt(180)\/(sqrt(20)\/sqrt(4)*-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 79, 191, 373, 625?\n\"Answer: 35*n**2 + 7*n + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eedegeeeeegdddge. What is prob of picking 2 d and 1 e?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7.787 - 7.85. Which is the biggest value?  (a) -4  (b) x  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 + 7.9. Let k = -0.3 + z. What is the biggest value in k, 6, 1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -7, -13, -2 in increasing order.\nAnswer: -13, -7, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -42 * 84\nAnswer: -3528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.2 - 2.2. Let p = -4649 + 362645\/78. Let r = p - -1\/26. What is the closest to r in -2\/9, f, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3487*j*o**3 + 10*j*o**2 + 7*o**3 - 175*o**2 wrt o.\nAnswer: 20922*j + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*6*3*(1 + sqrt(304)) - (5 + -1 + sqrt(304) + -2 + -3))**2.\nAnswer: 2584*sqrt(19) + 88217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of c**8\/280 + c**4\/4 - c**3\/3 + 6. Let a(r) be the third derivative of s(r). What is the first derivative of a(t) wrt t?\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0  (b) -16  (c) -1\/3  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 3 + 0 - 4 - (-2070 + 2004).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1280 is divided by 363.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 5*t + 10 + 12 = 0, -4*t + 12 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -811.7982 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15 + 37. Let h(o) be the second derivative of o**4\/12 - o**3 - o**2 + 4*o. What is the smallest common multiple of f and h(8)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 14) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23028387*c**4 + 34*c - 4873755.\nAnswer: 276340644*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/10?  (a) -1\/3897  (b) -2\/9  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -5*u**2 + 19*u + 293. Let w be v(-25). Round w to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1457987337.\nAnswer: 3, 17, 3176443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-6))\/(5\/(195\/26)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8 and 99125132.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71 = -19*b + 119. What are the prime factors of (-821)\/(-7) - 1 - b\/35?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-4)\/(-10) - 2907\/(-45) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/(-112) + 3\/21.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/215328 and 127\/645984.\nAnswer: 645984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -40*w + 793. Calculate the remainder when 115 is divided by g(19).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 188\/(-329)*3\/((-24)\/10)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 4*m = -24, 4*m + 15 = -4*i + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-2))\/(-5*6\/(-40)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 2:29 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m**3 + 8922*m**2 - 152415*m + 376866 = 0. What is m?\nAnswer: -2991, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1573*w - 558 = 1591*w for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 9 - ((-3)\/3)\/1. Suppose -d = -k + 6. Let x be ((-477)\/(-45) + 1 - 12) + 23\/(-5). Sort -4, x, 6, d.\nAnswer: x, -4, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(52))*-3.\nAnswer: -6*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -10*i. Let f(r) be the second derivative of 0*r**2 + r + 1\/3*r**3 + 13. What is y(f(n))?\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1285 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/48 and -9\/2128.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of 2\/3*q**6 + 0*q**4 + 17*q**2 + 0*q**5 + 0*q**3 + 0*q + 17. What is the second derivative of a(v) wrt v?\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -5\/6, -8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 2*w**3 - 21*w**2 - 30*w - 50. Is j(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.4438489 centuries?\nAnswer: 532.61868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -130, -554, -1264, -2260, -3542, -5110, -6964?\n\"Answer: -143*m**2 + 5*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of j**5\/15 - j**4\/3 - 2*j**3 - 9*j**2. Factor u(z).\nAnswer: 4*(z - 3)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, y: 2, w: 5, q: 1}. Give prob of picking 2 w.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -228 + 230. Solve p*r - 9 = 3*r + 5*x, 2*x = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -26 - -40. Suppose 5*u + 657 = -4*u. Let g = 129 + u. What is the greatest common factor of g and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2337\/164 - (1\/4 - 0). Solve -p*l + 18 = -8*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -282.6 times -56310?\nAnswer: 15913206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 281*z - 1058. What is g(4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 685008385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -f (base 16) in base 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 2 + 4. Suppose -3*s + w*s = -6. Let r = 16 - s. Calculate the lowest common multiple of 8 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 28, 3\/5, -1\/3, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**4 + 19870015*r**3 + 26321159783340*r**2 + 11622248481839374800*r - 11622274803019028160.\nAnswer: 5*(r - 1)*(r + 1324668)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8907372, 17814750, 26722128, 35629506?\nAnswer: 44536884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from olijvliivyolyiillol. What is prob of sequence ly?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (155\/25 - 4)*(-7 - -2). Let p(s) = -s**3 - 11*s**2 + 8. What is p(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j = 18*j - 198 + 259 + 467 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 20, 0.4, -18?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 3*q**2 - 6*q + 3. Let g(l) = -4*l**2 + 7*l - 4. Suppose 54*k - 61*k = 7. Let r be (55\/(-22))\/(k\/(-2)). Give r*z(x) - 4*g(x).\nAnswer: x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 >= -15621\/2741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, z: 1, o: 1, v: 3, w: 5}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -572, -566, -556, -542?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -2*c + 79. Let k = 19135 + -19103. Give y(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 578922\/418*(-2)\/628. Let o = -141\/1450 - -413353\/4325350. Let b = t - o. Calculate the common denominator of -43\/14 and b.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + 5*w + 130, -3*g = -2*g + 4*w - 39. Let p(h) = 21*h + 18*h - g*h. Let d(c) = -c. Give d(p(f)).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**3 + 2*i**2 - 3*i + 2. Let r be 48\/(-20) - (-3)\/(-5). Let w be l(r). Suppose 2*d + w*d - 2*z = 242, -3*d + 183 = -z. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 811 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2, -1, 2, 7, 14, 23, 34?\n\"Answer: v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 23920 by 16.\nAnswer: 1495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 4, p: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 604*b**2 - 2 + 942*b**2)*(2 + 1 + 1).\nAnswer: 1352*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -3*x. Let a be 6\/(-3) + (-2 - 1) + -52. Let p = -52 - a. Solve n + x = 5, 4*y + p = n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/((-6888)\/(-12177)))\/((-18)\/16).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 27*i**2. Let o(b) = 3*b - 4033 + 4033. What is l(o(f))?\nAnswer: 243*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1274*t - 578*t - 29554 = -7330 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 119027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35252 = 83*z - 55*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3123282, -3123268, -3123246, -3123216, -3123178, -3123132?\nAnswer: -3123078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 114851791 and -0.3?\nAnswer: -34455537.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 148 - 272. Let w = x + 123.8. What is the third biggest value in -0.5, -0.11, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 173 - 52*v**2 + 5*v + 320*v**2 - 172 + 0*v.\nAnswer: 268*v**2 + 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30173840?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 61*i - 2. Determine u(-1).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -254, -859, -1810, -3107, -4750, -6739?\nAnswer: -9074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = 4*n + 140 - 136, -2*n = -2*m + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -103*s - 287. What is r(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -0.24627?\nAnswer: 1.23135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**4\/23 - 114*m**3\/23 + 432*m**2\/23 - 424*m\/23 = 0. What is m?\nAnswer: 0, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 2*n**4 + 4690*n**3 + 51428*n**2 + 186816*n + 224064 = 0.\nAnswer: -2334, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 47*s - 17. What is the remainder when 33 is divided by d(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-27 - 1)*(-1)\/1. Let n(q) = -2*q**2 - 3*q - 5. Let u be n(-3). Let o = d + u. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, b: 1}. Give prob of sequence ba.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 8*c. Let b(r) = 61*r + 50*r + 34*r. Determine -6*b(a) + 110*p(a).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k - 8. Let j be r(8). Let u be 31 - (0 + 2 + j). Suppose 5*m = -2*h + u, 0 = 5*m - h - 21 - 2. Solve -m*z + 2 = 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.43 - 2.199. Let d = p - -0.169. Which is the nearest to -0.14?  (a) -2  (b) d  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1*2)\/(10 + -9) - -2709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1485545642 to the nearest integer?\nAnswer: 38543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**3 - 4*i**2 + 80*i.\nAnswer: -4*i*(i - 4)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes after 4:05 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 135004477 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 42*n**2 - 11*n - 7. Is u(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9695\/7531 + -3\/443. Is v bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(704) + 4*1*sqrt(11) - (6*(2 + -1*sqrt(11)))**2 - ((sqrt(440)*1)\/sqrt(10) + sqrt(66)\/(sqrt(864) + sqrt(6)))**2.\nAnswer: -99279\/169 + 156*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.361 + 0.131. Let t = w + 0.33. Let s = t - -3. Which is the third biggest value?  (a) -5\/3  (b) s  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) -3  (c) 0.4  (d) 169  (e) 95.2  (f) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60031523 is divided by 262.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**4 + 3*l**4 - 2*l**4)*(-6 + 6 - 4*l) + (0*l**4 + l**4 + 2*l**4)*(-2*l - 3*l + 4*l) + 0*l**3 + l**5 + 0*l**3 + 824*l**2 - 824*l**2 + 89*l**5.\nAnswer: 79*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**2 - 3*a + 1. Let u(x) = -3*x**2 - 7*x + 2. Let g be -17 + 255\/20 + 22\/88. Give g*u(r) + 9*f(r).\nAnswer: 3*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 0 + 41*z**2 + 3 - 4 + 4*z**2. Let b be y(1). What is the tens digit of (4*b\/8)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 0.045?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4)\/(-3))\/((-8)\/(-12)). Suppose -5*g + 61 = k*c, -c - 58 = -4*g + 2*c. Find the second derivative of -4*d**5 + g*d - 8*d - 2*d**5 wrt d.\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -60 + 55 - (-4 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -28d + -4?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 3*z**2 - 2*z + 2. Let p be a(-2). Let l = 37 - p. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1337 + 71?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 31979000 to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -26.013316871006 and 0.03?\nAnswer: 26.043316871006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1780523131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1587245363.\nAnswer: 11, 144295033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-h + 0*h - h)*(h**2 - h**2 + h**2) - h**3 + h**3 + 12*h**3 - 7*h + 7*h - 33*h**3 in the form u + b*h**2 + a*h**3 + r*h and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*k**5 - 5844*k**4 + 129732*k**3 - 568224*k**2 - 1702080*k = 0. What is k?\nAnswer: -1970, -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5307 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*l**3 - 25*l**2 - 10*l + 40 = 0. What is l?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1535 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -55*i - 6. Let b(t) = t - 1. Let d(s) = 4*b(s) + 2*h(s). Let z be d(4). What is z rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3335\/261 - (-2)\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 22 - 46. Suppose -13 - 7 = 2*t. Let f be (-2)\/t - 176\/(-20). Is f at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -57 - -57. Suppose -3*p - 5*x - 483 = q, -5*p - 805 = -0*p - 2*x. Which is smaller: -162 or p?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6429059\/6 at least as big as -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, 3, -17 in decreasing order.\nAnswer: 4, 3, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u + 2*x - 13, x = 4*u - x - 8. Suppose u*q = q - 13*q. What is the closest to q in -64, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of 5*p**4\/24 - 7*p**2 + p - 153. Let b(f) be the first derivative of g(f). Let a(m) = -8*m. What is a(b(v))?\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(135)\/sqrt(5)*-5.\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*x + 234*x = 227*x + 3672 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -82*y + 86*y + 28 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -6637, -26580, -59831, -106390, -166257, -239432?\n\"Answer: -6654*g**2 + 19*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 - 2\/((-6)\/9). Suppose n = -5*v - 3*h + 22, 4*v - 5*v + 14 = 3*h. Solve 0*t - v*t = -6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**28*b*b**(-4\/5)*b*(b\/(b\/(((b*b\/(b\/(b*b**(24\/11))*b))\/b)\/b)))\/(b\/((b*b**13\/b)\/b)))**(-1\/55) assuming b is positive.\nAnswer: b**(-2276\/3025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 2*w + 209, -3*y + 2*w = 24 + 181. Let o = -10 + 11. Calculate the remainder when 38 is divided by (-3)\/9*y + (-3)\/o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x + 0*x + 3*x)*(-15 + 9 - 3).\nAnswer: -27*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 6) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j**2 + 7*j + 5. What are the prime factors of d(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15 + -8 - 7 - (-1 + -5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 3 = -5. Sort 2, -12, h in descending order.\nAnswer: 2, h, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - 1. Suppose 3*w - 2*d = 52, -4*d - 41 = -4*w - 7*d. Suppose -7 = 7*z - w. Sort m, z, 0 in descending order.\nAnswer: z, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -110*n**3 - 65*n - 401*n**4 + 361*n**4 + 20*n - 5*n**5 - 120*n**2.\nAnswer: -5*n*(n + 1)**2*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 - q. Let n(y) = y**3 - y**2 + y + 1. Let a(z) = -12*z**3 + 6*z**2 - 9*z - 6. Let p(w) = -a(w) - 6*n(w). Determine -3*c(s) - p(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 4*l - 26. Let m be f(7). Solve -m*w + 17 - 9 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 146 = 50. Suppose n - k = 5*c, 0 = 3*c + 1 - 10. What is the derivative of -36*b**3 - 2*b + 0*b**3 - n + 2*b wrt b?\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2. Suppose 4*g - 2*x = 54, -3*x - 7 = 3*g - 61. Let a be (-68)\/(-20) - 6\/g. Let b(j) = 12 + a*j - 12. Calculate q(b(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 103229?\nAnswer: 7, 14747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 61\/12?  (a) 5  (b) -1  (c) -5  (d) 53  (e) 0.197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 862129 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 - -43. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-23)\/(o**(-4\/3)*o))**5 assuming o is positive.\nAnswer: o**(-340\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.04, -0.7, 0.5.\nAnswer: -0.7, 0.04, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -200*p**2 + 585*p**2 - 193*p**2 - 196*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 104 + -59. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8\/17, -0.1, -3 in decreasing order.\nAnswer: -0.1, -8\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 2 + 3 = 0, -b = 5*g - 23. Suppose -80*r = 4*z - 81*r + b, 3*z + 5*r + 2 = 0. Sort -1, z, 0, 30.\nAnswer: z, -1, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 88*y**3 - 125 + 125 + (-2*y - 3 + 3)*(-3*y**2 - 2 + 2).\nAnswer: 94*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t + 1. Let x be v(-1). Let k be 0\/(1\/(-3 + x)). Suppose -5*b + k*b = 0. Is b at least as big as -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes before 12:49 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(11\/6))\/g*g\/(g\/g**(2\/21)*g) assuming g is positive.\nAnswer: g**(-115\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2967*d**2 - 12*d + 84964.\nAnswer: -5934*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -6631.0125976 - 14.3?\nAnswer: -6645.3125976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.6 - 6. Let j = -493 + 501. Which is the nearest to 0?  (a) -5  (b) j  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v - 3*v + 2*l = -25, 5*v - 4*l - 35 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**2 + 4*j + 10. Let k be h(6). Let i(t) = -3*t**3 + 5*t**2 + 5*t + 19. Let n be i(-4). Let c(l) = -n + 2*l**2 + 272 - 8*l**2 - l. Give c(k).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n**4 - 3*n + 3*n)*((0 - 2 + 1)*(-2 + 0 + 0) + 4 - 3 - 3 - 449 - 867 - 268).\nAnswer: -4752*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 70 + -68. Suppose 0 = 5*f + 10, u*h + f + f - 86 = 0. What is the third derivative of 60*n**2 - h*n**2 + 6*n**6 - 4*n**6 + 26*n**6 wrt n?\nAnswer: 3360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 3*u. Let w(a) = 82*a - 10*a**2 - 82*a. Calculate k(w(m)).\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 11*a + 11. Let w(b) = 5*b + 5. Let d(k) = -4*o(k) + 9*w(k). Suppose p + 2*c = -1, 20 = -5*p - 81*c + 76*c. Calculate d(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**3 + 6*h**2 + 5*h + 5. Let d be l(-5). Suppose -5*n + 5 = -5*k, -d*n + 17 = 3*k - 12. Suppose k*v - 8 = v. What is the biggest value in v, 5, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -31, -2\/43, 0.5 in decreasing order.\nAnswer: 0.5, -2\/43, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 10 = -19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3*1 + (7 + -4)*(-34)\/6. Let x = 248 + -122. Let z be -4 + x\/(-27)*12\/r. Sort -3, -5, -6, z.\nAnswer: -6, -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 17.1, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 675045.2 nanoseconds to seconds.\nAnswer: 0.0006750452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -398583*a = -398585*a + 3*x + 96, -3*a = -2*x - 69 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 - 5*i**2 + 14*i - 1. Let z(x) = -x**3 + 16*x**2 + 18*x - 26. Let g be z(17). What are the prime factors of v(g)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:08 PM and 5:08 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12010012 + 2222?\nAnswer: 12020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38 - 46 = 8*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -725*i**3 - i + 2 wrt i?\nAnswer: -4350*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 - 33*q + 142. Let c be b(27). Let w(x) = -x**2 - 10*x + 203. Let h be w(c). Solve 2*n = l - 6, 0 = -3*n - l - h - 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the second derivative of t**3\/2 - 2*t**2 - 2*t. Let w be j(4). Let d = w + -2. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 90 - 45. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minus -1?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of y**7\/17640 - y**6\/1680 - y**4 + 17*y**2. Let c(i) be the second derivative of d(i). Factor c(w).\nAnswer: w*(w - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2 - 3 + 2 + 3 + j. Let s be r(0). Let q = -63 + 63. Solve 2*h = s*z - 4, 4*z = -q*h + 2*h - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b - 2 + 2)*(-50281 + 112*b**4 + 50281).\nAnswer: -112*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q + 3*t = 127, 5*t + 655 = -87*q + 90*q + 844 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -1\/4, 10, 3487 in ascending order.\nAnswer: -1\/4, 10, 13, 3487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -37156, -37085, -36886, -36493, -35840?\n\"Answer: 11*v**3 - 2*v**2 - 37165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 + 7*v**2 + 2*v + 1. Determine f(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cwhxcpczccwhzxwwc. What is prob of picking 1 p and 1 x?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) -46\/7  (c) 0.07  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8098\/257 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/4*(0 + 0). Let v(n) = 12*n + 5 - 1 + 1 + f. Is v(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**2 - z + 7. Let k be u(5). What is k rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -73*i**2 + 912*i - 1796. What is f(10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 276*y + 1. Let j(r) = 4*r**2 - 4*r**2 + 9*r**2 - 14*r**2. Give w(j(z)).\nAnswer: -1380*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 24\/(-160)*(-42)\/(-18)*2\/7. Put -58, n, 5 in descending order.\nAnswer: 5, n, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**2 + 1. Let z(b) = 5*b + 1. Let h(q) = q**2 + 14*q + 2. Let u(a) = -4*h(a) + 11*z(a). Calculate 2*m(i) - u(i).\nAnswer: 2*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1260725796 divided by 6\nAnswer: -210120966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve j**5\/3 - 96165*j**4 + 6935828499*j**3 - 20805466045*j**2\/3 - 41614394018*j = 0 for j.\nAnswer: -2, 0, 3, 144247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -151 - 233 = 3*q - 2*w, 2*w + 526 = -4*q. Let r = 2212\/17 + q. Is r bigger than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3226\/(-2 + 3) + 6\/1 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**2 + 16*f - 28. Determine a(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 3 + 0)*(3 - 3 + j) - j - 3*j + 5*j)*(90*j**3 + 32*j**3 + 11*j**3).\nAnswer: 266*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 2*f**4\/3 + 177008*f**3\/3 + 8309388*f**2 + 865770592*f\/3 - 890875766\/3 = 0.\nAnswer: -88363, -71, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:11 AM and 4:48 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p - 16548 + 143 - 1086 - 5756 + 403)*(4 - 1 - 2).\nAnswer: -3*p - 22844","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.2  (b) 154  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tss when three letters picked without replacement from teeesseqeeeq.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 4*d - 5. Let c(s) be the second derivative of -3*s**3\/2 + 11*s**2\/2 - 3*s. What is -6*c(w) - 13*t(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1b9964 (base 16) to base 10\nAnswer: -1808740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, m: 8, t: 5}. What is prob of sequence um?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -145 + -1?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 + 13. Suppose r - i + 3 = 5, -h*r - 2*i = -24. Suppose -2*p - r = -3*p. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3946469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*n - 20838506 = 41573459. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.61 minus 514071555?\nAnswer: -514071543.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 - 17*f**2 + 16*f + 1. Let n(d) = -d**3 + 16*d**2 - 15*d - 7. Let v be n(15). Let z = v + 23. Let j be p(z). Solve -4*k - 7 = j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(-1\/18)*u**9*u)\/(u**(6\/11))**(2\/39) assuming u is positive.\nAnswer: u**(28385\/2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tza when three letters picked without replacement from {j: 2, t: 3, n: 1, a: 1, m: 3, z: 5}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 - 6*t + 7. Let o be w(-7). Suppose 5*l = -o*l - 70. Is (-369)\/(-7) + (-4)\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 72453 (base 10) to base 6.\nAnswer: 1315233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 771905\nAnswer: 308762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 430*t - 7767. Determine r(18).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -914*h + 913*h + o, 5*h - 2*o = -26. Put -256, h, -7 in ascending order.\nAnswer: -256, -7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 214 divide 4036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 23890576223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -7 + -11 + -7 + 4 + 9 + -13\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7158*s + 13395*s - 1 - 7017*s + 1.\nAnswer: -780*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 702273 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -518.08 to the nearest 10.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 1 + (60\/(-10) - -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 19 and 1501?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g + 2*g + 2*g**2 + (6 - 6 + 6*g)*(0 - 5 + 3)*(2*g - 6*g - 3*g) to the form l*g + z + w*g**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30 + -13 - 11 - (8 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 5 + 3)*(-q + 2*q + 7*q) in the form v + u*q and give u.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1317067 (base 8) to base 13.\nAnswer: cb77a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - 0) + 6 + 0 + -35 + 24?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 534251?  (a) -1\/8  (b) -0.1  (c) 3  (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 494363401 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f + 2*r - 163, -3*r = 5*f - 2*f - 159. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dnwywweddwwew. Give prob of sequence dd.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -2*q**2 + 0*q + 2*q + 3*q**2 + 4. Determine n(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 59 - 5c?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 + 1. Let t be f(1). Let m(j) = -t*j + 2*j - 4*j. Let v(p) be the third derivative of -p**5\/60 - 27*p**2. Determine m(v(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(63) + 2 - ((-4 + sqrt(252))**2 + -2))*-2.\nAnswer: -102*sqrt(7) + 520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 1, -2, -883, -1 in ascending order.\nAnswer: -883, -10, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 25227 and 1449.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 502931940?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of -3*d**5\/5 - 29*d**4\/6 - 20*d**3\/3 - 618*d. Find g such that y(g) = 0.\nAnswer: -4, -5\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (43 - 38) + (-11 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 144*b**2 - 2*b + 2. Let s be f(1). What is the greatest common divisor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 224 = -5*y + 194 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1598, -2695, -3806, -4931?\nAnswer: -6070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes before 9:25 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/(sqrt(7) + (sqrt(63) - sqrt(7))) - (sqrt(5) + -5*(1*sqrt(5))**2).\nAnswer: -2*sqrt(5)\/3 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 8*n + 16. Let g(v) = -2*v - 3. Suppose 3*k - 11*k + 16 = 0. Let o(s) = k*d(s) + 11*g(s). What is o(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 124682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 259*y**3\/2 - 775*y**2\/2 + 256*y + 2 = 0.\nAnswer: -2\/259, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 3  (b) 20  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3 * -21\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-11)\/(-770))\/(105\/4410)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -2297.74 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least as big as -41\/11966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.07 - 87213091.\nAnswer: -87213091.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10221220 - 2?\nAnswer: 10221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 4*i + 20. Let a be 6*((-12)\/(-8))\/1. What is the tens digit of d(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t + t + 0*t - 3*t - 1 + 1 + (2 - 1 - 2)*(-2*t + 4*t - 4*t) + 1 + t - 1)*(1 + 4 - 2).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3)\/10)\/((-13)\/65)*32\/(-24). Let g be -2*(1 + 3)\/(-2). Sort g, z, -11, 3 in decreasing order.\nAnswer: g, 3, z, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b**4\/3 + 136960*b**3\/3 + 2342836976*b**2\/3 - 21893329920*b + 153315971424 = 0. Calculate b.\nAnswer: -34254, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118 = 2*j - 3*j. Calculate the remainder when j is divided by (-16*12)\/(-6) - -8.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -986*a**3 - a**2 - a - 1. Let z be t(-1). Suppose 5*n + 0*w - 5*w - 1635 = 0, -2*w = -3*n + z. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooopopoooooooooopo. What is prob of picking 1 o and 2 p?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**2 - 3*y - 14. Let m be l(6). What is the units digit of 10\/m*168\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/6*11\/22. Factor 0 + 1\/4*f**3 + 1\/4*f**4 - b*f - 1\/4*f**2.\nAnswer: f*(f - 1)*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 134 - 132. What is the second smallest value in 1, j, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zee when three letters picked without replacement from {e: 3, z: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 22*g**3 - 87*g**2 + 6*g. Let m(w) = 21*w**3 - 89*w**2 + 5*w. Determine 6*m(b) - 5*y(b).\nAnswer: 16*b**3 - 99*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36 and 7280532?\nAnswer: 7280532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 16183380781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -222 less than or equal to -219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 15237\/26 - (-4)\/(-4). Let r = p - 151033\/312. Let s = r - 298\/3. What is the common denominator of 53\/18 and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 61628 in -4, -0.1, 4\/5, -5, -0.3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1101634 is divided by 1302?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fourty-one halves of a centimeter?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 21 = -3*x, -4*l = -x + 2 - 19. Solve 0 = -y + l*y - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22673 and 63.\nAnswer: 204057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - x = 10, -x = 15*a - 17*a + 4. Solve 0 = -a*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (168\/10 - 4) + (-3)\/(-15)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 + 2 + 0 + 1 + 0 + (-1 - 5 + 5)*(1 - 3 + 0) + 1 + 6 + 1)*(-n**3 + n**3 + 2*n**5).\nAnswer: 32*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*j + 675 - 819 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -25 - (19 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3 - 9 - (-7 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 30\/17, -5, -1\/7?\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 less than -16.20491122176?\nAnswer: -19.20491122176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 5950*m. Let v(p) = 2*p**2. Determine a(v(t)).\nAnswer: 11900*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert ce (base 16) to base 8.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8727669 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (5\/15 + 0)*-15. Let a(i) = -i**2 - 8*i - 3. Calculate a(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1227.928 - 1228.0598242. Let h = t - -0.1316. What is h rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-387)\/(-3096))\/(3\/456)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 + y + (0*y + y - 3*y)*(-7 + 0 + 2))*(0 - 2 - 1) in the form w + m*y and give m.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/13  (b) -3  (c) -45\/7  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 2 k, and 1 c when four letters picked without replacement from {d: 1, z: 2, k: 6, c: 9}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -385*q - 4. Let i(d) = -389*d - 5. Determine -6*i(w) + 7*u(w).\nAnswer: -361*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes before 12:55 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27\/4, 0, -4 in ascending order.\nAnswer: -4, 0, 27\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/3)\/((-4)\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 290958 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -86, -175, -264, -353, -442, -531?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -13 in -3, -2\/5, 0.3, 1735?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 5323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -5143313.4133584 + 10\nAnswer: -5143303.4133584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -41 - -52. Suppose -9*m - m - j*m + 3 + m**2 + 17*m = 0. What is m?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2 from 82270.\nAnswer: 82272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8377736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*j + 80*j + 385*j as v + a*j and give a.\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -428\/5 + 86. Which is the closest to -6?  (a) w  (b) -5  (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of 22*q**2 + 6*q - 4839. Let u(t) = -45*t - 7. Calculate 5*u(l) + 6*x(l).\nAnswer: 39*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -0.2, 8, 1\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -i - 231, 4*i = -4*v + 708 + 208. Suppose 3*y + 7*y - v = 0. Suppose 7*j + 1152 = y*j. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (114\/(-27) - -4) + 115\/450. Let f(k) be the second derivative of g*k**5 + 1\/18*k**4 + 0*k**2 + 4*k + 0 + 0*k**3. Factor f(t).\nAnswer: 2*t**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - h = 11, k - 4*k + 2*h = -12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -6, 12, 730\/3, 4\/11, -3\/5, 11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 0.1, -5, -1\/10, -0.2, -9221, 0, 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -27*l + 108*l - 21*l + 2*l**2 - 42*l**3 - 35*l + 0*l**2 to the form z*l + t*l**2 + n + k*l**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (2 - 1) - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5 and 8.844.\nAnswer: 13.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -5006750 rounded to the nearest 100000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-5 + (4 + sqrt(68)*2*4)*-4)**2*-2.\nAnswer: 5376*sqrt(17) + 140146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -3*g - 7. Suppose 162 = 20*l + 7*l. Let n(w) = 10 + 1 - 6 - l. Let u = 2 - 3. Calculate u*r(i) + 5*n(i).\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3 + 19*z**2 + 13*z**2 + 3*z + 12*z**2 - 6*z wrt z?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22 + 51. Let l = -44 + v. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81588173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -29730, -29816, -29892, -29958?\nAnswer: -30014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8*z - 3*z + 3*z)*(0*z**2 - 3*z**2 + 0*z**2) + 4*z**3 - 7*z + 7*z to the form g*z**2 + f*z + c + q*z**3 and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 13) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the first derivative of 5*c**4\/4 + c**3\/3 + c**2 - 370. Let n(p) = -11*p**3 - p**2 - 3*p. Give 5*g(z) + 3*n(z).\nAnswer: -8*z**3 + 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14 and 4866.\nAnswer: 34062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the second derivative of c**4\/12 - 5*c**3\/6 + 3*c**2\/2 + c. Let f(p) = -4*p + 1. Let b be f(-1). What are the prime factors of t(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 16) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 878592311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -n - 14, 5*n - 3*t - 80 = 2*t. Suppose -n*r = 11*r - 6094. What are the prime factors of r?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 5:57 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1002 (base 4) to base 13\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 811 divide 2571681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -3 - (1 + -1 + 9) - 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2*m + 1. Let f be w(-3). Let l = 225476 + -225476. Sort -4, l, f.\nAnswer: f, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(4\/9)*f**(-9)*f)\/(f**(-2\/15)\/((f**(-9)\/f)\/f)) assuming f is positive.\nAnswer: f**(-829\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -145193 + 145195 - 153*v - 2*v**2 + 153*v.\nAnswer: -2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 124.029 - 124. Let s = 3.971 + k. What is the nearest to -8 in -3, s, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -205 + 216 = -7*n - 5*a, -a = -2*n - 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -429, -1768, -4013, -7164, -11221?\n\"Answer: -453*i**2 + 20*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1184787030 + 1184787030 - 14*x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 546 + -345. Suppose 2*a - 3*z - 199 = -3*a, p = 5*a - 2*z. List the prime factors of a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115767 is divided by 139?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5906\/6 + (-20)\/(-30). Suppose z - 488 = l. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -42\/19 > 326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -130*l. Let m(f) = -44703*f**2. Calculate b(m(j)).\nAnswer: 5811390*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -17 + 23. Solve -i*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -30 - -27.7. Let m = -53.79 + 53.87. Which is bigger: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 69184 or 484285\/7?\nAnswer: 69184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1341*j - 199*j + 806*j.\nAnswer: 1948*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 146641418*n**4 - 9374*n**2 - 5902*n.\nAnswer: 3519394032*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6 + -26?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 26 = 2*v + 5*y, -3*y = -12. Which is the nearest to -0.05?  (a) v  (b) 10  (c) 0.4  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*j - 7*j - 222*j = 3330 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17\/4 + 93\/20. Let c = 677 - 679. What is the nearest to t in c, -0.08, 4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174 is divided by 92?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w**2 - 2664*w**4 - 1 + 2659*w**4 + 2*w**2 + (-2 - 1 - 1)*(4*w**3 - 4*w**3 - 2*w**4).\nAnswer: 3*w**4 + 4*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 2:22 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -4*c + 11, -2*a = -3*c - 3*a + 3. Suppose 2 = -2*r, 10 - 41 = -5*d + r. Calculate the remainder when 632\/56 - c\/7 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 2 = 2*a, 5*a - 24 = -2*p. Suppose -3*t + 3 = 3*u, -3*u + u = 3*t + 3. Which is smaller: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4928610 is divided by 2726.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.08 and -58.\nAnswer: -4.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 15\/21*(-8)\/10. Suppose 4*b + 0 - 4 = 0. Let m = -181\/14 - -94\/7. Put m, b, u in descending order.\nAnswer: b, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d**3 + 11*d**3 + 7*d**2 - 5*d**3 - 3*d + 3*d - d**3 + (-4*d + 3*d + 3*d)*(-2*d**2 + d - d).\nAnswer: -2*d**3 + 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 637109 + 52891. Round f to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 10 = l. Let t(x) = x**3 + 6*x**2 + 4*x - 1. Let o be t(l). Suppose 3*b = -w + 17, -b + w + 0 = 1. Solve 2*n - b*n + o = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -5\/8, 3\/7, -3, -0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 31*l**3 + 412*l**2 - 169*l + 20. Let z(f) = 2*f**3 - f**2 + 1. Let k(p) = 5*n(p) - 15*z(p). Factor k(h).\nAnswer: 5*(h + 17)*(5*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**2 - 194*m + 2346. Give x(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 24473 - 24472.9999997174. Round j to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w**1\/w))**(-1\/16)*((w\/(w**1\/w))\/w)**(-26\/9) assuming w is positive.\nAnswer: w**(-1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 2*h**3\/7 + 558*h**2\/7 + 33268*h\/7 - 104880\/7 = 0.\nAnswer: -190, -92, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 208 + -149. Let g be -2 + 2 + p - 3. What is the greatest common divisor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38 + 98 - 33 - 181*j - 30 - 854*j.\nAnswer: -1035*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of (72\/(-8) - (-5 + 6) - 0)*-418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m**2 - 3*m**2 + 2*m**2)*(-11559 + 50*m**2 + 11559) - m + m**4 + m + (-3*m + 4*m - 2*m)*(m**3 + 2*m**3 - 6*m**3).\nAnswer: 104*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/(-3))\/((-4)\/24). Let c(g) = -4*g**2 + 2*g**2 + a*g**3 + 3*g - 2*g**2. What is the units digit of c(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 93\/86131088 and 7\/129196632.\nAnswer: 258393264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 13*s**2 + 358*s - 14. What is the thousands digit of k(-31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1c4 + -2cc42?\nAnswer: -2ca4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20.7 - 2.7. Let k = 12 - w. Is 0 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 1620 = -2665. Suppose -3*l + 5*k - 28 = -4*l, -2*k - 56 = -l. What is the remainder when 2\/(-9) + n\/9 is divided by l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59 = -9*c - 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 120 divide 110984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 7*o - 6*o + 2*o**2 + 0)*(-4*o + o + 5*o)*(7 - 7 + 10*o**2).\nAnswer: 40*o**5 + 20*o**4 + 20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-169*h + 14*h - h)*(2 + 3*h - h - 7*h) + (0*h - 2*h + 0*h)*(h + 0*h - 2*h) + h**2 - 2 + 2.\nAnswer: 783*h**2 - 312*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 8 = 4*p, 7*p - 5*v - 14 = 10*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 172081 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (48 - 5 - (-14 - (-2 - -6))) + 18.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 40, 84, 160, 268?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 PM and 1:48 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -7*u - 26. Let k be p(-4). Solve -4*s + k*s = 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*40\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2347559*a**2 + 2659866*a.\nAnswer: 4695118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in 4\/7, -4, -2\/71, 14\/71?\nAnswer: 14\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28, 78, 156, 262, 396, 558?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/(-2) - 10\/(-4). Let y = d + -1. Suppose -6*q + q = 4*g - 34, y = -2*q - 4*g + 4. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -144 and 30.23709.\nAnswer: -113.76291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16 + 2. Let n = r + -8. Suppose -n = -3*b - 1, -5*f - 4*b - 8 = 0. Sort 1, f, -0.5 in descending order.\nAnswer: 1, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*a**3 - 554*a**2 + 3909*a.\nAnswer: 18*a - 1108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 - 0)\/((-3)\/3). Suppose 4*v - 2*l - 3*l = 22, 0 = 2*v + l - 4. Suppose -6 - 3 = -v*n. Solve -3*b + 7 = 4*z, o = -z - n*b + 4*b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of 2\/3*j**3 + 0 + 3\/8*j**4 - 2*j**2 + 2\/15*j**5 + 0*j + 1\/120*j**6. Is 11 a factor of r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of a**2*s**2 + 61*a**2*s - 20676*a*s + 161997023*s**4 + 4*s - 3 wrt s?\nAnswer: 2*a**2 + 1943964276*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4384782809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4671, -10561, -16451, -22341?\nAnswer: -28231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -1 - 5*r**3 - 6*r**2 + 2*r**2 - 6*r - 4*r**3 + 10*r**3. Suppose 4*s - 15 = s. Determine c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 848, 3374, 7584, 13478, 21056, 30318, 41264?\nAnswer: 53894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*q**2 + 37 + 88 - 176 + 51.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(6\/5)*(h*h*h**(-7)\/h*h*h)\/h)\/(h*(h*h**10)\/h*h*h**1) assuming h is positive.\nAnswer: h**(-91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 378*w - 379*w + 200454 = 0, 0 = 3*d - 4*w - 120254. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3690917.558 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of k**4*l + 16*k**3*l - 3*k**2 - 124*k*l wrt k?\nAnswer: 12*k**2*l + 96*k*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 + 14*c**2 + 4*c + 13. Is l(13) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 25 - 47\/2. Let m be (2*3\/(-18))\/(-1). Which is the closest to 0.2?  (a) w  (b) 1\/7  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((3*sqrt(132)\/sqrt(3))\/sqrt(4) - (sqrt(891) + (sqrt(891) - sqrt(891)*-2*3) + sqrt(891))**2)*4*-1.\nAnswer: -12*sqrt(11) + 288684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes after 12:36 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-7 - (-10 - -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 31 = 3*q - 5*q - 57, 19*j - 2*q = -q - 73 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6401964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 29\/50 + -2\/25. Which is greater: 2\/37 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 5561*q + 5672. What is p(-1)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-6)*r\/(r\/r**(-2\/5)))**(-15))**(2\/47))**(-2\/81) assuming r is positive.\nAnswer: r**(-128\/1269)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -8  (b) -0.2  (c) 3  (d) 850  (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kll when three letters picked without replacement from clclccllqllkkwcqlc.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 569300513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -72.95 + 72. Round n to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7044155 or -7044111?\nAnswer: -7044155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 780180 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 750 = 1445. Let x = -277 - k. Suppose 4*v - 22 = x. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 149 + -146. Let r be (1 - 22\/24)*2. Let g = -0.3 + 0.6. Put g, a, r in descending order.\nAnswer: a, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.13853 + -0.16535. What is s rounded to three dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 10\/25 - 2\/5. Suppose x = -4*v - 8, -5*j - 2*v - 10 = 3*v. Find the second derivative of -2*p**3 - 2*p + j*p + 3*p**3 wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -55*w - 0*w - 2128. Which is smaller: -21 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43887849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**2 - 27*g + 14. Let h be q(-27). Let u be ((-2)\/4)\/(1\/(-14)). What is the highest common divisor of h and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and -28050.\nAnswer: -11220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uh when two letters picked without replacement from {o: 3, u: 3, n: 1, b: 2, h: 2, m: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2.8 in 0.075, -1, -742, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - -1. Let g(a) = -4 + w*a + 1 + 2. Determine g(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange r**2 - r**4 - 8 + 4 + r**2 to the form h*r + p + q*r**4 + z*r**3 + a*r**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -118, -2, 12.\nAnswer: -118, -2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/9 + (-16)\/9. Let x = -127 - -189. Calculate the remainder when x is divided by 21 + l + 1 - 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -4, -22, 1, -5, 5 in descending order.\nAnswer: 5, 1, -4, -5, -10, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 295.86*-1516.4\nAnswer: -448642.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -11*t**2 + 90*t - 6. Let p(f) = 23*f**2 - 179*f + 15. Give 5*m(z) + 2*p(z).\nAnswer: -9*z**2 + 92*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11 - -16. Calculate the remainder when x is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3\/5  (b) -58  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1618?\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(350)\/(sqrt(20)\/(sqrt(2) + sqrt(8)\/sqrt(4))))\/(5*sqrt(20)*2).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4*x - 1 + 4*x)*(-3 - x + 3).\nAnswer: -8*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.5 - 0.2. Let i = -11.5 - -12. Which is the second biggest value?  (a) q  (b) i  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**2 - 7*o + 6. Suppose -4 + 0 = -2*t. Suppose -3*z + 4 = v, -15 = -t*v - 4*z + 1. What is the remainder when v is divided by h(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -10, -25, -44, -67, -94?\n\"Answer: -2*s**2 - 9*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 569*s**3 + 362*s**3 + 32*s**3.\nAnswer: 963*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 3*v**3 + 53*v**2 + 9*v + 7. Let i be u(-3). Calculate the greatest common factor of 32 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6597 - -2791. Let c = 5619 + y. List the prime factors of c.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**2 + 2. Let w be n(-2). Let g = 2 - w. Calculate the smallest common multiple of g and 4 + (-1204)\/294 - (-233)\/21.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -168 - -155. Let v be ((-2)\/6)\/((26\/(-162))\/j). Is v >= -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24133 (base 5) to base 8\nAnswer: -3401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 33372 and 47807244.\nAnswer: 3708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 + 7. Suppose 1482 = 6*p - 4*u, -93*p + 94*p - 240 = 3*u. What is the lowest common multiple of b and p?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 5 = 29. Let z = 24 + o. Calculate the highest common divisor of 96 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 5073407.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 106502456 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 - 434?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 3*n - 16. Let v be i(6). Suppose v*q - 2445 = -q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2279 or 2309?\nAnswer: 2309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 218571.\nAnswer: 3, 41, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14121 + 28640. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -809478, -1618961, -2428426, -3237867, -4047278, -4856653?\n\"Answer: v**3 + 3*v**2 - 809499*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from {q: 2, i: 4, k: 2, f: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -178.2 - -178. Which is the closest to v?  (a) 8  (b) -4  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 999755 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b - 86*b - 12782 = -156270. Is b a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5740 + -1081?\nAnswer: -6811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000258963 to 7 decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 7, -2, -286, -130 in descending order.\nAnswer: 7, 0, -2, -130, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 2*t**2 - 7*t - 4*t**2 + 6*t + 7*t**2. Let q = -43 + 59. Calculate the lowest common multiple of w(1) and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11800730, -11800792, -11800854, -11800916, -11800978?\nAnswer: -11801040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 - -4. Let n = 6 + u. Let h be (n\/(0 - -2))\/1. Solve 6*f - 5*f + h = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-38 + 0)*((-28)\/(-7) - -3). Let o be 7*(d\/49 - -6). Solve o*c + 1 - 17 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k*k**(-1\/14)\/k)*k)\/k*k*k**(-1\/6))\/(k\/k**(3\/5)*k*(k\/k**(4\/9))\/k) assuming k is positive.\nAnswer: k**(299\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 6, x: 2, r: 1, k: 4}. Give prob of picking 2 k and 1 r.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 4, -11906\/15, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 15*g + 96 = 0. Let j be 14\/(-1) - (-10 + g). Suppose -44 = -2*q + 6*q. Which is bigger: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1251698 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 21085*b - 27622. Let j(s) = -3011*s + 3946. Let n(c) = -15*j(c) - 2*p(c). Differentiate n(q) with respect to q.\nAnswer: 2995","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 6*h**2 + 5*h + 5. Let w(g) = g**2 + g + 1. Let v(d) = t(d) - 5*w(d). Let z(r) = -6*r**2. What is v(z(b))?\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {s: 4, o: 5, t: 5}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/5*s**3 - 27\/5*s - 6*s**2 + 0.\nAnswer: -3*s*(s + 1)*(s + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 214406.3ml in litres?\nAnswer: 214.4063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 8034, 8058, 8082?\n\"Answer: 24*l + 8010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1872786 rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000073759748 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**2 + 15*i + 18. Let y be l(-18). What is the greatest common factor of y and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20.35*-2.4295.\nAnswer: -49.440325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 13558, 6 in increasing order.\nAnswer: -4, 6, 13558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15*a**3 + 5*a**2*m + 979*a**2 + 55*a*m + a + m - 186607 wrt a.\nAnswer: -90*a + 10*m + 1958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 488830335?\nAnswer: 3, 5, 7, 139, 33493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 66 - 68. Which is the second smallest value?  (a) 1  (b) -4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 3*g - 18. Let q = 1148 - 1139. What is u(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 - 9*l**2 - 4*l - 19. What are the prime factors of k(18)?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 8*y + 2. Let p be l(8). Let k = 40 + -34. What is the greatest common divisor of k and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1320 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zbzzbbbpzzzmp. What is prob of sequence bpp?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/2, -3, -0.2, -13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - m + 25 = -1, -16 = 4*f + 4*m. Let o(t) = 3*t**2 + 5*t + 4. Give o(f).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5953 + -5955. Let j = -10 - -7. What is the biggest value in -9, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of -n**2 - 9466. Let h(p) = 7*p + 94. What is h(f(v))?\nAnswer: -14*v + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/7 + (-18)\/(-63). Suppose v + 0*v = 2*b - 10, z = 3*b + 2*v - 1. Calculate the lowest common multiple of 4 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**3 - 397556*b**2 + 10735418*b - 10337860 = 0. What is b?\nAnswer: -198805, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 374393849 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, 5, 107, 2\/7, 0, -3, -497?\nAnswer: -497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, 31, -0.2, 3\/2, -825, 4, -3?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n - 294 = -5*n. Which is smaller: 19 or n?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from unnnnnnnnnunnnnu. Give prob of sequence un.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 6*x = -2*u + 10, 5*x - 33*u = -35*u + 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**2 - 6*v + 14. What is c(6)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2\/5 - 1362*q\/5 - 20951.\nAnswer: (q - 1435)*(q + 73)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(1*sqrt(200)\/sqrt(4))\/(sqrt(90)*2) + ((1*sqrt(810))\/(-6*sqrt(6)\/sqrt(3)))**2.\nAnswer: sqrt(5)\/2 + 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-378)\/360 - (-1)\/4)*10. Let h(c) = c**3 + 8*c**2 + 3*c + 17. Calculate h(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1506636 by 18.\nAnswer: 83702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -13*k + 7. Suppose -343 = -k*p - 5*p. Suppose -10*m + 17*m - p = 0. Calculate the greatest common divisor of 28 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -0 + 6. Suppose -s*k = -0*p + p, 4*k - 4*p = 12. Calculate the highest common divisor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.153 - 2.039167418\nAnswer: -1.886167418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 18 - 6 = 0. Let b = y + -4. Factor -2\/3*i**3 - 2\/3 - 2*i - b*i**2.\nAnswer: -2*(i + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -35089 - -34905. What is the second smallest value in 0.3, -0.3, x, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - -10. Is (-6)\/h - 7670\/(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5)\/15*-1 - 1. Let b = -0.7 - 0.3. What is the closest to -2\/5 in b, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-36))\/(11 + 2130\/(-192)) + (7 - -1)\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 4*s**2 + 38*s - 121. Let u be z(3). Suppose 3*j = 5*y - u, -2 = -5*y + j + 21. Solve 0 = a + y*k + 11, 0 = -5*a + 3*k + 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 12 + -61?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.1 or 0.145?\nAnswer: 0.145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 8 - -3?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -99, 4, 772, -1 in decreasing order.\nAnswer: 772, 4, -1, -6, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to 5795\/25363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 138 a factor of 1459684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the second derivative of 4*v**6 - v**5\/20 - 17*v**4\/6 - 3*v**2\/2 - 2*v - 185. What is the third derivative of g(t) wrt t?\nAnswer: 2880*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*r - 59*r - 3020 = 123*r for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 87409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 24 = -y. List the prime factors of (-6)\/(-4)*(-8)\/y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i**5\/10 - 17*i**4\/5 + 13*i**3\/5 + 68*i**2\/5 + 43*i\/10 - 3 = 0. What is i?\nAnswer: -1, 1\/3, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.053 times 0.8?\nAnswer: -0.0424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 712?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -5  (b) -2.9  (c) 1  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10023949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/3048, 1, 16, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 12*x**2 + 5*x - 16*x**2 - 4)*(3*x + 2*x - 3*x)*(81*x + 48*x + 81*x) in the form y*x**4 + b*x + j + k*x**2 + a*x**3 and give k.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 27, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 689837323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1884608 divided by -337?\nAnswer: 1884608\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*-2526534.\nAnswer: 5053068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 560 and 12?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 + 5*t**2 + t - 4. Suppose -4 = 4*s + 4*k + 16, 0 = k + 5. Suppose -15 = 5*i, -c - i + s + 2 = 0. What is n(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 + 7*r**2 - 7*r - 19. Let q be l(-8). Let v = q + 25. What is v rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-91)\/(-21) + -5)\/((-4)\/30)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*q**2 - 12*q**3 + q**4 + 4*q**2 - 7*q**2 to v*q**4 + w + s*q + f*q**2 + r*q**3 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fvcyfhihffhfvhf. Give prob of sequence fchy.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 160811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -24, 2, -8, -1 in descending order.\nAnswer: 2, -1, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 197470593 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 164 and 2233516.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 32, 122, 224, 344, 488?\n\"Answer: y**3 + 83*y - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pppvppogqoqoqqpd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of -o**8\/56 - o**5\/12 + 5*o**2\/2 + 6. Let d(i) be the second derivative of y(i). What is the third derivative of d(z) wrt z?\nAnswer: -360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from {v: 1, i: 3, m: 6, q: 2, w: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 + 5*g**2 - 3*g. Let u be p(4). What is the biggest value in -3, 0.1, u, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76907762.\nAnswer: 2, 17, 2261993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bh when two letters picked without replacement from {v: 2, b: 2, m: 1, h: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10163777 by 533.\nAnswer: 19069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30)\/(-45)*(-6)\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -7, 1.\nAnswer: -7, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 57717390 and 1068?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*s = 2*s + 9*s. Let o be (1\/524)\/(2\/12). Let b = o + -923\/524. What is the closest to s in 4\/5, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -36227*q**3 - 3*q**2 + 9488 wrt q.\nAnswer: -217362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/5 + 332162*h\/5 + 4317768\/5.\nAnswer: 2*(h + 13)*(h + 166068)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -11389 (base 13) to base 9\nAnswer: -47034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*x + 10*x + 168 = 0. Let s = 11 - 22. Sort x, s, -1 in decreasing order.\nAnswer: -1, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*z = -144 + 369. Solve 0 = -3*b - z - 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 2 + 1)*(10 - 7 - 10) - 2 + 2 + 3)*(-62 + 20 + 25 + 368*t + 17).\nAnswer: 8832*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-4)*-3*-2. Let f(u) = -u**3 - 5*u**2 + 6*u - 9. Let h be f(-8). Let w = h - 135. Solve -q*s = -w*s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 32 + -4. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the second derivative of -5*t**3\/6 + 13*t. Let y(v) = -v. Give y(l(x)).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1\/1)\/(10\/(-1900)). Let q = -123 - i. What are the prime factors of q?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + 2.7. Let w = 0.2 - t. Let a = w + -0.4. Which is bigger: a or -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -105\/88 and 55\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 2*w**3 - 7*w**2 - 7*w - 76. Suppose 3*z = 5*z + 8. Let h(y) = -y**3 + 4*y**2 + 4*y + 38. Let t(r) = z*n(r) - 7*h(r). List the prime factors of t(0).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-15)\/(-30)*(0\/(-2))\/(-1). Suppose n = -7*k + 4*k. Let v(h) = h**3 - h**2 - 2*h + 2. Let s be v(k). Solve -2*i - 4 = 0, -2 = 3*c - 0*i - s*i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92 - 32 = 5*w. Let t = -4845 - -4845. Solve 3*o - w + 0 = t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -302*b + 229*b + 1 + 74*b - 1. Let q(h) = h**2 + 255. Give q(f(z)).\nAnswer: z**2 + 255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1681131?\nAnswer: 3, 499, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9\/6 + (-14)\/(-4). Differentiate -6*m**4 - 2 - g*m**4 + 3 + 10*m**4 with respect to m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 - -15)*(-2)\/(-4). Suppose -t*u = -2*u - 20. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 4 = -5. Let c = 4 - w. Let s = 12 - 11. Solve c = i + s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 17 - 62)*(-343 - 34*r + 343) as h + g*r and give g.\nAnswer: 1666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5443287408 and 848.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*s + 10 - 34*s - s**2.\nAnswer: -s**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 126 + 190 = -4*q, -q = -2*z - 6*z - 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1520727?\nAnswer: 3, 13, 38993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 600.43939 to zero decimal places.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 258*p**3 + 5*p**2 - 6*p - 10. Give s(2).\nAnswer: 2062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (52*(-82)\/(-164))\/8?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 3*y - y = -7276, -3*h + 5453 = 5*y. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 19478493 and 25971324.\nAnswer: 77913972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5\/4  (b) 0  (c) 5  (d) 2\/7  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of 0*s**2 + 1\/3*s**3 + 0*s**4 - 4 + 0*s + 1\/5*s**5. What is the third derivative of h(o) wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -g**2 + 83*g + 25236*g**3 - 25236*g**3 + 3*g**4 wrt g.\nAnswer: 36*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 0*w + 2*w - 270*w**2 + 265*w**2 + 6 - 13. Let q(t) = -4*t**2 + 2*t - 7. Calculate 3*q(c) - 2*u(c).\nAnswer: -2*c**2 + 2*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12043938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 5 + 13. What is the remainder when v is divided by 7 + (-2)\/4*8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - (-23 + 10 + 43) - -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes before 8:52 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9458 and 87268966?\nAnswer: 9458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 25911*z**3 + 1372*z**2 + z + 7?\nAnswer: 155466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (1 - 1 - (15 + -11))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 4*t + 9. Let d(q) = 4*q + 10. Let w(a) = 2*d(a) - 3*z(a). Is w(-6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11979 + 12068. Solve -1 - k = 30*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11 plus 25.945336?\nAnswer: 26.055336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 123*g**5 - 45*g**2 - g wrt g?\nAnswer: 7380*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 596 = -g. Let w = -201 - g. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -202*h + 96 = -210*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + 2 - 8) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2984832254 to the nearest integer?\nAnswer: 54634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -11655*p. Let h(j) = j**2. Determine h(b(c)).\nAnswer: 135839025*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -284797.603 rounded to the nearest ten?\nAnswer: -284800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/988 and -101\/4559464.\nAnswer: 86629816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 540765225 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -71817*x**2 + 2*x. Let j(n) = -29*n. Calculate j(p(c)).\nAnswer: 2082693*c**2 - 58*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/(a\/(a\/a**2)*a)*a))**(4\/15) assuming a is positive.\nAnswer: a**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28951, 28942, 28933, 28924, 28915, 28906?\nAnswer: 28897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = x + 10, 0 = -4*x + 8*x - 2*s - 2. Let w be x\/((-23)\/11 + 2). Is 11 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-60)\/12)\/15*1*-3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -2*z**2\/5 + 58096*z\/5 = 0?\nAnswer: 0, 29048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/1753, 3, -114?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1657, -6957, -15783, -28129, -43989?\n\"Answer: y**3 - 1769*y**2 + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -119, -5 in decreasing order.\nAnswer: 6, -5, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*x + 5 = 90*x - 3*w, 0 = -x + 3*w + 8. Let n be -3 + 1 + (-19)\/(-11). Which is smaller: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -94*w**2 + 144*w - 146*w + 1 - 5*w**3 + 109*w**2 to p*w**2 + n*w**3 + i*w + f and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 6*o. Let l(h) = -9*h**2. Calculate c(l(r)).\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 5*r = -3*t + 26130, -3*t - 4*r = -26112. Let l = t - 69757\/8. Let d = 26157 + -470965\/18. Calculate the common denominator of l and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 2*c = -3*v + 5608, -4*v - 4*c = 22444. What is v rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 177\/4?  (a) -0.6  (b) 0  (c) 5  (d) 1  (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of t**4\/4 + 4*t**3\/3 + 3*t - 3. Let x be k(-4). Suppose 64 = 5*u - u. Solve x*a = -a - u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 - 64.3. Let l = h + 62. Which is the smallest value?  (a) 0.07  (b) -1\/7  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - m - 23 = -3*s, -3*s = 5*m - 55. Suppose y - m = -3*y. Suppose 2*t - 572 = -y*t. Is t a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4 + (9 + -3)*4\/3. Suppose -2*q + 20 = k*w + 32, 2*q + w - 3 = 0. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 10*q = -5*q - 18, 0 = -5*l + 4*q - 18. What is the closest to -11 in 3, -2\/11, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*a**2*s*y**3 - 8*a**2*s - 3*a*p*y**3 + 2*a*p + 3*a*s*y**2 - 2*p*s*y**3 + s*y**2 wrt y?\nAnswer: 42*a**2*s - 18*a*p - 12*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -215 + 121. Let n = y + 97. Solve 9 = f - n*q, -5*q = 5*f - 0*q + 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of -p**8\/20160 + p**7\/840 + p**6\/80 - 73*p**5\/60 - 80*p**2. Let f(o) be the third derivative of t(o). Calculate f(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 127*x**3 - 119*x**3 - 2091 + 2091.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 + 4*c**2 + c + 8. Let n be b(-4). What is the smallest value in n, -9, 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -262c (base 14) in base 4?\nAnswer: -1220300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the second derivative of y**3 - y**2 + 20*y + 6. Let a(r) = -11*r + 4. Let q be 80\/(-25) + (-1)\/(-5). Calculate q*a(p) - 5*k(p).\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 4:57 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 6*546\nAnswer: 3276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*r - 62*r = c - 19, 5*r = -6*c + 72. What is the remainder when 298\/14 - (-2)\/(-7) is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/176517 and -35\/1881.\nAnswer: 3353823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*l**5\/3 + 18*l**4 + 10*l**3\/3 - 90*l**2 - 8*l\/3 + 72 = 0. Calculate l.\nAnswer: -2, -1, 1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -268  (b) -12.1549  (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000304494228 to 7 dps.\nAnswer: 0.0000304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4993 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1590023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 6313837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(704)*-2*5 - (-3*sqrt(704) + 4))**2*-1.\nAnswer: -34512 - 448*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 2 e when four letters picked without replacement from ikekikiieekiii?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + o. Let u(j) = -12*j**4 + 4*j**3 - 4*j - 11. Let f(x) = 4*d(x) + u(x). Differentiate f(k) wrt k.\nAnswer: -48*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes before 2:57 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8.64 and 2.\nAnswer: -17.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1 or 67\/175?\nAnswer: 67\/175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -45  (b) -0.003  (c) 25\/21  (d) 1\/8  (e) 5  (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7810 and 330.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 AM and 9:33 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2\/5, 0.5, 1\/7, 0.003, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:55 PM and 2:04 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2764 = 5*d + 654. What is the greatest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + -3. Let p be (-11)\/3 - (-1)\/q. Let n = -5.66 - -5.36. What is the closest to 1\/4 in p, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84\/20219 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 219 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8385 = 21*t - 222678. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4705 + 13228. Suppose 5*o - g = -2*k, -8*o + 3*o = 25. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 106764, 213579, 320394, 427209, 534024, 640839?\nAnswer: 747654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 11:13 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2969 - 1868. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76*y**2 - 3 + 115*y**2 - 7.\nAnswer: 191*y**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m + 3 + 7. Suppose -3*q = -s + 2, 2*s + 3*q + m*q - 4 = 0. Suppose -5 = -s*u - 1. Solve -2*t = u*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 u, and 1 l when three letters picked without replacement from lkkkkkkkkkkkkkkukk?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 184?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(4 + sqrt(17) + (sqrt(136)*-1)\/sqrt(8) - ((sqrt(34)*-3*3)\/sqrt(2))**2).\nAnswer: -1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -107 + (65 - -33 - 60)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1592, -1578, -1538, -1460, -1332, -1142, -878, -528?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -1261264*w**2. Let m(f) = -7*f**2. Give m(v(j)).\nAnswer: -11135508143872*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5*-11)\/(46190\/9238)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 92, 551, 1318, 2393, 3776, 5467, 7466?\nAnswer: 9773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*v**2 - 3*v + 3*v)*(-v + 2*v + 0*v) - 77*v**3 - 7*v**3 - 14*v**3.\nAnswer: -103*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -21  (b) 7  (c) -12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13941107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 7:49 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 5 + 175 = 0. Let s = c - -2352. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1317 + -1198. Which is the nearest to 0?  (a) 1  (b) -3  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6*h*z**4 - 329*h wrt z.\nAnswer: 24*h*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 6726, 26919, 60574, 107691, 168270, 242311?\n\"Answer: 6731*z**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 9 + 5*f - 11 - 3*f. Let l(d) = -11. Let h(c) = 5. Let z(m) = -9*h(m) - 4*l(m). Determine t(x) - 4*z(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f = -266 - 196. What is the greatest common divisor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-441)\/(-9261) + 274\/(-21)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 250 + -246. What is the third smallest value in 0.4, -90, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9656.249 centuries in millennia?\nAnswer: 965.6249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 PM and 6:18 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 31 + -29. Suppose 0 = 4*q + 5*t - 57, 3*q - 5*t - 15 = -m*q. Suppose b - 9 - 3 = 0. Calculate the smallest common multiple of q and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 5342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, k: 5, f: 3}. What is prob of picking 2 f, 1 k, and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 PM and 1:19 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -321.0333617 + 1.155.\nAnswer: -319.8783617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 516929.8 milliseconds to seconds.\nAnswer: 516.9298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 9943 - 20237?\nAnswer: -10294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-53)\/(-4) - 4\/16. Let u(q) be the second derivative of -7*q**3\/6 - 4*q. Let z(w) = 15*w. Give j*u(m) + 6*z(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from mgwwwggogggwm.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from acaacpacmgaap. What is prob of sequence ma?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and 0.082078.\nAnswer: 0.246234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*m = 116 + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the first derivative of v**3\/3 + 2*v**2 + 6*v + 8. Give d(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2\/13))**(-35))**(-1\/17) assuming z is positive.\nAnswer: z**(-70\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 181*g**2 + 356*g - 118*g - 252*g to t*g**2 + m + p*g and give t.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -3*j**2 - 32*j + 12. Let q(r) = -r**2 - 11*r + 4. Let n(a) = 17*q(a) - 6*x(a). Let y be n(-6). Suppose -b - y*b = -9. Solve -1 + 16 = -b*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -958\/1331?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 + 10*l**2 - 7*l - 21. Give g(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, d: 1, f: 7, v: 1}. What is prob of picking 2 l and 1 f?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {k: 6, v: 4, g: 2, a: 1, l: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1425 = -27*m - 697 - 227 for m.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 + 37*x**2 + 306*x - 15. Calculate v(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*c - 21869 = -24333 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4806 and 4806?\nAnswer: 4806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6410 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the first derivative of 15*i**2\/2 - 16*i + 2. Let g be a(2). Suppose -850 = 9*o - g*o. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1531.7 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2582 + -5?\nAnswer: 2576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h + 1. Suppose 2*a - 3*a - 4 = 0. Let x(f) be the first derivative of f**2 + 3*f - 37. Determine a*o(v) + x(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/12*-57)\/(1\/(-16)). Let t be 22\/6 - 1\/(-3). Suppose 3*j - 240 = -3*q, -2*j + f = -t*q + 2*q. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60723?\nAnswer: 3, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 45*b**2 + 31*b + 65. Is o(-2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 479041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + j = 3*j - 40, 0 = -5*j + 15. Let m = -16 - -24. Solve -11 = -m*v + 4*v + 3*i, 5*v + 3*i - p = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 22 - (5 - 3 - -1). Let o = b + -17. What is the second derivative of 0*u + 3*u**3 - 3*u + o*u - 3*u wrt u?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 2 y when three letters picked without replacement from yqyqyqqqqqwcqyqwq.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5729 is divided by 572?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 240 is divided by 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -3*x**5 - 45*x**4 + 3*x**3 + 45*x**2 = 0.\nAnswer: -15, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*p**2 - 294645*p + 73660.\nAnswer: 5*(p - 14732)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 11817811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01692 to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 102*s - 52*s - 54*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -106?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*z + 8127824325 - 8127824325.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 15\/4 of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1429*u + 7 - 15742*u - 7 - 1940*u.\nAnswer: -19111*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 199032610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 202366856 to the power of 1\/3, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000612 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 4, -739 in decreasing order.\nAnswer: 4, -2, -739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19.6 - 12.3. Let o = w - 7. Let z = -251\/6 - -42. Which is the biggest value?  (a) 2  (b) z  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15160063 and 1549?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let -g**2 + 5*g**3 - 15 - 20*g**2 - 3*g**2 + 35*g - g**2 = 0. What is g?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-8)*-2*-290. Suppose 44*d = 1864 + 116. Let p be (399\/15 - -2) + 18\/d. Calculate the highest common divisor of r and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Two letters picked without replacement from {z: 4, k: 1, x: 1, a: 3, j: 4}. Give prob of picking 2 a.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-55)\/(-88)*(-4)\/(-10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**3 + 12528*v**2 - 13079232*v + 4551572736.\nAnswer: -4*(v - 1044)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -2*a**2 - 36*a + 7. Let m be h(-18). Let y be (-17 + 3)\/m*-2. Calculate the highest common divisor of y and 136.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = 4*a - 4, 8 = -5*c - 4*a - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 0*a = 8. Let q(k) = k - 6*k + 0*k + a*k. Let t(s) = -s. What is q(t(m))?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(-5)\/o)\/o*o**4*(o\/o**(-2))**(2\/31))**11)**11 assuming o is positive.\nAnswer: o**(-10527\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 2*n - 4*j, n - 4*n - 5*j = -47. Calculate the smallest common multiple of 4\/18 - 980\/(-45) and n.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -2*u**2 - 7*u - 7. Let h(c) = -c**2 - 4*c - 4. Let p(w) = -7*h(w) + 4*s(w). Let g be p(1). Which is greater: g or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -4) + -196 + 179.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**5\/5 + 236*w**4\/5 - 9986*w**3\/5 + 176472*w**2\/5 - 225504*w + 466560.\nAnswer: -2*(w - 36)**3*(w - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, -101, 4, 0 in increasing order.\nAnswer: -101, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -143181, -285967, -428753, -571539, -714325?\nAnswer: -857111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1211 + 101110?\nAnswer: 22122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 51455, 103106, 154759, 206414, 258071?\n\"Answer: l**2 + 51648*l - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 54468237 and -0.02772?\nAnswer: 54468237.02772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.0884 and 5.\nAnswer: 4.9116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/300)\/(5 + (-295)\/60)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - (-4)\/(-6))\/(28\/(-1302)). Calculate the greatest common factor of g and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - v = 2*v + 20, -3*r + 3*v + 30 = 0. Let c(h) = -267*h - 1066. Let k be c(-4). Solve k*l + 5*f + 12 = 2, r = -l - f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -86848 divided by 32.\nAnswer: -2714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 79.556 + -1.856. Let h = -79.7 + p. Put 1\/3, -0.5, -8, h in ascending order.\nAnswer: -8, h, -0.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 500815?\nAnswer: 5, 7, 41, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4*21\/252)\/((-1)\/(-114)*2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -108 - -120. Calculate the remainder when 80 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 7*h**3 - 5*h**2 - h + 3. Let p(c) = -c**2 + 6 - 9*c**2 + 13*c**3 - 3*c + 0*c**2 + 0*c. Let q(l) = -6*p(l) + 11*t(l). Is q(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 154241 and 5848.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1041.7 to the nearest ten.\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -16 - -12610?\nAnswer: 125b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 160 = -3*v + 157, -422 = -4*v + j. Let s = v + -100. Solve -4 = -m - 2*g, 2*m = -2*m - g - s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 23*a + 25. Let q(p) = 16*p + 17. Let o(k) = -5*b(k) + 7*q(k). Let g(t) = t. What is 6*g(l) + o(l)?\nAnswer: 3*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.037 - 0.063. Let i = -3\/227 - 403\/3859. Which is the nearest to k?  (a) i  (b) -5  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 927 and 4380693.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 + (-2115)\/45 + 81?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -25716678, -25716680, -25716682?\n\"Answer: -2*m - 25716676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - 6*y**2 + 3. Let v be z(6). Suppose -v - 9 = 4*c. Let h be 28\/3 - 2\/c. Solve 0*r + 5*g + 30 = 5*r, g = -3*r + h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 7798*x - 460066. What is a(59)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -128706627 divided by 42902209.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 5*c - 28. Let o(k) = -9*k**2 + 2*k - 11. Let u(x) = -28*x**2 + 7*x - 34. Let n(i) = c*o(i) - 2*u(i). What is the first derivative of n(l) wrt l?\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - 21 - 9 = 0. What is the remainder when 22 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - v - 469 = 373, -3*i + 3*v + 840 = 0. What is the remainder when i is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1845 + -1835. Solve -2*j - 12 = -2*u, -2*j - 4*u + 4 = m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/180 and 113\/5135130?\nAnswer: 10270260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 271*d**2 - 303*d.\nAnswer: 542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 1747323522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-5)\/(-2))\/(1\/(-2)). Let i(q) = 5 - 3*q**2 - 3 + 9*q**2 - 6*q. Let r(a) = -4*a**2 + 4*a - 1. Calculate h*i(n) - 8*r(n).\nAnswer: 2*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of 3*o**3\/2 - 14*o**2 - 1015*o. Calculate f(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -630 (base 13) to base 11.\nAnswer: -878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17356*s + 308 = -17378*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 8767855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-9*54\/729)\/(-1*(-1)\/36)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 69*q = 3*i - 4, -14*i + 9*i - 3*q - 10 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22081 and 672583.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 - 7*h**2 + 15*h - 9. What is the remainder when 89 is divided by n(6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7578581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/3, -0.0515, -4?\nAnswer: -0.0515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7 and 58.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 - 7*v**2 - v + 10. Let z be f(7). Suppose -4*x = -12, 0 = 5*n + x - z*x - 74. Calculate the remainder when n\/6 + (-4)\/6 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-12)\/(1 - (-2 - -5)). Suppose 37 - 7 = u. What is the highest common factor of u and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-8)\/132)\/(-1))\/(((-975)\/45)\/13)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**3 + 19*k**2 + 14 + 30*k + 31*k**2 - 32*k**2.\nAnswer: 2*(k + 1)**2*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 6 - 1 + 2 + 9*x. Let h(a) be the second derivative of 19*a**3\/6 + 15*a**2\/2 - 6*a + 4. Give 6*h(w) - 13*y(w).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**3 - 10*y**2 + 14*y + 21. What is the tens digit of v(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 33 + -32. Solve r - 1 = s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a - 4. Let h = 6 + 0. Let b(n) = -1. Let i(p) = -8. Let w(o) = h*b(o) - i(o). Determine -2*k(l) - 5*w(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8736177kg to milligrams.\nAnswer: 873617.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + 1. Let p = 1 + -1. Let b(g) = 1 + p*g**2 - 3*g**2 + 4*g**2 + 3. Determine b(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 128*f**3*n**2*q - f**3*n*q - f**2*q + f**2 + 2*f*n*q - 83*f*n - 6*n**2 wrt f?\nAnswer: 768*n**2*q - 6*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -257 * -18.\nAnswer: 4626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 24*(-9)\/(-24) + -13. Let m(f) = -4*f + 1. Let b be m(-1). Sort q, b, 2.\nAnswer: q, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.739 or -102492?\nAnswer: -102492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes before 1:09 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = 4*m - 0*o + 21, -3*m - 5*o - 17 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -5*w + 19. Let o(i) = 7*i - 28. Let b(u) = 8*k(u) + 5*o(u). Let h be b(2). Solve j = -0*j - h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 - -44?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -h**4 - 171493*h**3 - 352895*h**2 wrt h.\nAnswer: -24*h - 1028958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (105\/14)\/((-15)\/(-18)) - 6. Let f(n) = 60*n - 182. Calculate f(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r - 12. Let f be z(12). Suppose 2*m = -0*m. Solve 2*x + f*x = m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1313130002 (base 4) to base 16\nAnswer: 77702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 2\/9  (b) -4\/11  (c) -0.5  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 + -11 + -7 + 13 + 47 - 1) + -5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 18*n + 44. Let t be c(15). Let s = 1572\/5 - t. Which is bigger: 0.6 or s?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 + 22. Suppose u + u + w = 0. What are the prime factors of u\/((-5)\/3)*5?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35, -76, -117, -158?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - 4. Suppose -g*w = a - 12, a - 2*w - 36 = w. 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: Simplify (((sqrt(2496) - -5*sqrt(2496)*2) + sqrt(2496))*-1)\/((sqrt(6) - sqrt(54)*-6)\/(sqrt(18)*3)).\nAnswer: -864*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + m + y - 205, -3*y = 4*m - 175. Suppose 7*o - 2*o - m = 0. Calculate the highest common factor of o and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 - 8. Suppose 0*x - 5*o = -p*x + 20, -4 = 5*x + o. Let l = x - 6. Let b(c) = c**2 + 8*c + 4. What is b(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 + 787?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 453 - -123?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.2738 + -9292704.\nAnswer: -9292705.2738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 2*y**2 - 16*y + 9. Calculate g(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 - 9. Let m = q + 3. Let b = 5 - m. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*g**2 - 3*g**2 + g**2 + 3*g**2 + 2*g**2 - g**2 + (-6*g + 3*g + 2*g)*(g + 1 - 1).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 9597  (b) -5  (c) 2  (d) -5\/7  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10*(-43 + -113) + 8\/(-20)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -6, -1, -4, 3, -151 in descending order.\nAnswer: 3, -1, -4, -6, -8, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -6*s**2 - 13*s**2 + 9*s**2. Let u(r) = -6*r**2 + 8*r**2 + 2*r**2 + r**2. Give u(z(c)).\nAnswer: 500*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -4, -9*h + 7*h = -5*y - 4575. Suppose -3*d - 2*d - 2*o + h = 0, -4*d = 5*o - 1828. What is d rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -58728, -117463, -176198?\nAnswer: -234933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1293302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1144685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 0 + 0)*(-4*i**2 - 3*i**2 + 0*i**2)*(-2*i**2 - 2*i**2 + 5*i**2) + i**4 + 0*i**4 + i**4 in the form q*i**3 + l*i**4 + p*i**2 + m*i + s and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1088928512?\nAnswer: 2, 7, 41, 14821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1*-26\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*y**3 + 39*y**3 + 3*y**2 - 17*y**2 - 25*y**3 + 14*y**2.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 5*x + 2*x = -18, -3*x = 4*r - 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12*7*5\/(-490)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**4 - 3*q**4 + 2*q**4)*(q - q - 4*q).\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 93525 by 121.\nAnswer: 93525\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 210 and 22680.\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 267 (base 9) to base 13\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 30 = 2*u. Suppose 0*g = g - 8. Let v = g - u. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.3  (b) -0.4  (c) -5  (d) 11589  (e) 3  (f) 20  (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 23 = -17. Let z(w) = w - 8. Let k be z(h). Find v, given that -2\/9*v**4 + k + 4\/9*v**2 + 0*v - 2\/9*v**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 780, 777, 772, 765, 756, 745?\nAnswer: 732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-2\/3)*o)**46*(o\/((o\/o**(2\/9))\/o))**44)\/(o**(2\/15)\/(o*o*o**5)*o**(2\/3)\/(o\/(o*o*o**(-9\/4)))) assuming o is positive.\nAnswer: o**(13781\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-6)\/(-21) + (-3020)\/(-14) + 5 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -b7 (base 12) in base 15?\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -47, -43, -39, -35, -31?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 981 is divided by 130.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-3))\/(36\/54).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 3*v - 59 = 0, u = -3*u + v - 57. What is the tens digit of (u - -18)*(-139)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33528 = 4*a - 4*f, 3*a + f + 8109 = -17053. Let h = -814 + a. Round h to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -2*w + 4, 10*w - 4*p = 13*w - 4. Solve o - 2*l + w + 12 = 0, 3*o - 5*l = -32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 2*p**3 + 2*p**2 - 100*p + 98. Determine u(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 39915895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 64 = 5. Let b = -151 - -129. Which is smaller: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 - (-11 - 0) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - 4*x**2 - x - 2. Let c be q(-3). Let g = c + 3. Let d(z) = -3*z + 1. Is d(g) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, a: 8, o: 4, h: 2}. What is prob of sequence ohoe?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from {j: 9, w: 4, b: 4}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are 74 and 522\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 4)*(2*z + 0*z + z)*(7*z**2 - 4*z**2 - 6*z**2 - 2).\nAnswer: -36*z**3 - 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from {y: 8, u: 3}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1350 + 2940. List the prime factors of q.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3420 and 10165?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*4*((-3*sqrt(1216) - sqrt(1216)) + -5 + sqrt(1216) - (1*sqrt(1216) - sqrt(1216))*-5)*5)**2.\nAnswer: 2400000*sqrt(19) + 109690000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.36 + -85536650?\nAnswer: -85536649.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9625 and 474782?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -201 = 5*n - 751. Let f = n - 548\/5. What is the second biggest value in f, -2\/7, 1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2421056707 to the power of 1\/3, to the nearest integer?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 43 + -25. Let n = p - 17.99999979. What is n rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -157*u**2 + 55*u**2 + 56*u**2 + 131*u**2. Let j(l) = -20*l**2. What is h(j(y))?\nAnswer: 34000*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes after 3:31 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 + 9*l**2 + 10*l + 13. Calculate m(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(3) - ((sqrt(15)*-2)\/sqrt(5))**2).\nAnswer: -17 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -2*z**2\/9 + 284*z\/9 - 1270\/3 = 0.\nAnswer: 15, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3159 is divided by 648?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5946296, -23785142, -53516552, -95140526, -148657064, -214066166?\nAnswer: -291367832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21 - -29 - (12 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -11 + 5*v - 2*v**2 + 0*v + 3*v**2. Let u be p(-8). Let z(d) = -d**3 - 9*d**2 - 9. Let j be z(-10). Calculate the greatest common divisor of j and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 8. Let o(x) = -36*x - 26. What are the prime factors of o(z)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence flr when three letters picked without replacement from urfslrx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 55*p + 562. Let d be v(-10). Let r = 35 - 39. What is the nearest to -2\/7 in r, d, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 970607 (base 10) to base 12\nAnswer: 3a983b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2934, -29, 24, 3, 4 in ascending order.\nAnswer: -2934, -29, 3, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the first derivative of -v**2\/2 - 7*v + 7. Let a be c(-9). Solve 0 = 5*h + 2*m + 14, a*h - 5*m + 3 = 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 108642 = -10*t - 11*t. List the prime factors of t.\nAnswer: 2, 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 24*f**3 - 2*f + 1. Calculate the remainder when u(1) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/10)\/(8\/10). Suppose v = -3*v + 16. Which is the third smallest value?  (a) v  (b) q  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 109997505?\nAnswer: 3, 5, 607, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*((-5943)\/504 + 11)*4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + (4*sqrt(300) - sqrt(300))*-2 + 3)*2)**2.\nAnswer: -3840*sqrt(3) + 43456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 386006 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p**2\/4 - 1147*p - 4589\/4 = 0. Calculate p.\nAnswer: -1, 4589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14061, 28105, 42137, 56157?\nAnswer: 70165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 28488416443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(4*-2*sqrt(144))\/sqrt(6))\/((-2*sqrt(1944) + sqrt(1944))\/(sqrt(8)\/sqrt(4)*-3)).\nAnswer: 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3543300 rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 = 3*p - 44. Let l = -16 + p. What is the remainder when l is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43032 divided by 5379\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -18?  (a) 2\/7  (b) -1  (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22101\/574 + 1\/287. Let r = -15\/19 - -145\/304. What is the common denominator of r and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7872 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1966372 + 1966372 - 3*o**3 - 41*o.\nAnswer: -3*o**3 - 41*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1594\/2665 - -1\/533. Which is the nearest to t?  (a) -3  (b) -0.3  (c) 5  (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 14\/4 - 1\/2. Solve s - b*s = 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((-1)\/7) - (34125\/5928 + (-10)\/(-8))?\nAnswer: -1\/152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 362 bigger than -232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 25*f + 8 - 4)*(10*f**4 - 14*f**4 + 0*f**4).\nAnswer: -100*f**5 - 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -3*r - 15. Let l = -14 + 6. List the prime factors of z(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 3*(3 + sqrt(3))*-6)*-5.\nAnswer: 90*sqrt(3) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 2*d - 5*h - 0, -5 = d - 4*h. Let v(k) = -11*k**3 - 2*k**2 - 2*k - 1. Calculate the lowest common multiple of v(d) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*z - 7*z = 175. Calculate the remainder when z is divided by (9\/(-4))\/(3\/(-12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 + 6. What is the closest to 1\/2 in -3, d, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 409 = 214*z - 19. Suppose -7\/2*q + 3\/2 + 5\/2*q**z - 1\/2*q**3 = 0. What is q?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24299 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: Is 84359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 43056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 + 10. Suppose -z*w + 158 + 102 = 0. Let h = 4555 + -4542. Calculate the greatest common factor of h and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + 41. Let j = -38 + s. Which is smaller: j or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21 + 21 + 11*d)*(0 + 4 - 5)*(0*d + 3*d - 2*d).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together -38 and 6355931.\nAnswer: 6355893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*p**5 - 2*p + 5*p - 6*p wrt p?\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -22*c + 62. What are the prime factors of j(-13)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 54*y**2 + 11891*y + 124265. Calculate a(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 4 = q, -q - 14 = -2*q + 3*z. Let d be (-304)\/20 + 1\/q. Let j = d - -27. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -7. Let z = 2 + a. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29993 and 445.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 286501?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 + 6*y**2 + 4*y - 1. Let w be k(-5). Suppose 16*n = 167 + 169. Solve 0 = -q - w*h - 0*h, -4*q - n = -5*h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5341392415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 56 and 151 - (-24 + 11 + 4)?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/(-27)*(-18)\/4*-138*(-2)\/24?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1643196500 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9386\/5 + 300097\/160. Let v = 550 - 22077\/40. Calculate the common denominator of o and v.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -2*m - 3. Let q(o) = -1. Let v(i) = -2. Let f(y) = -3*q(y) + v(y). Let l = 5 + -3. Suppose -1 + l = -j. Give j*u(x) - 4*f(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times 107.0158?\nAnswer: 10.70158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/(-10))\/(-1)*-10. Suppose -2*z = -0*z + 2. Let h = -6 + 1. Put z, r, h in decreasing order.\nAnswer: z, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 88.2024 millilitres to litres.\nAnswer: 0.0882024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 - (-11 + (19 - 7) + 3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2822\/15 + 1097\/6. Find the common denominator of -7\/20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = d + w, 6*d = 3*d - w + 7. Let k(c) = 2*c + 1. Determine k(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*n + 103*n**2 - 161*n**2 + 45*n**2 + 38 in the form q*n + f + t*n**2 and give f.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let r be (-14)\/(-3) - 4\/6. Suppose -2*v + r*m = -10, 3*v + 4*m = -5 + 30. What is the lowest common multiple of v and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -228, -453, -678, -903, -1128, -1353?\nAnswer: -1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3439 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2050 times -3\nAnswer: 6150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 90\/24*(4\/(-18))\/((-2)\/(-3)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 110561038.\nAnswer: 2, 7, 19, 415643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (76\/(-18))\/(96930\/87237).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 5\/6, -0.8, -0.5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/4 and 8\/24*(-238)\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-4) - 1927\/1230\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/(-10) + -9 + 371 + 0. What is the nearest to s in 4, 2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -151362 - -151360.50034. Let r = 3.5 - 2. Let q = o + r. What is q rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 78 and 445926?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y - 3. Let u be h(-3). Sort u, -1, 4 in descending order.\nAnswer: 4, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -544*i - 542*i - 537*i - 544*i + 2166*i. Let v(s) = -10716*s. Give v(x(c)).\nAnswer: 10716*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 46867, 93778, 140691, 187606?\n\"Answer: u**2 + 46908*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 13\/(-21) + (-8)\/(-24). Which is the nearest to 0.1?  (a) h  (b) 0  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 1:13 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 78*d**2 + 95*d**2 - 263*d**2. Let q(l) be the third derivative of -l**4\/24 - 6*l**2 - 10. Calculate q(h(c)).\nAnswer: 90*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -34  (b) 2068  (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1353501 (base 6) to base 7\nAnswer: -441226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7339 (base 13) to base 12.\nAnswer: -927a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/3084 and -25\/1644543.\nAnswer: 6578172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -4*i**2 - 5*i. Let g(a) = 4*a**2 + 4*a. Give 5*g(x) + 4*r(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -635673 - -6?\nAnswer: -635667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.8 + 2.8006. What is x rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (77\/22 - 4)*(5 - 6)*46.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3431277287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 5*o - 3*x, -5*x = 4*o - x - 4. Suppose -o*p + 37 = -c, -4*p - 2*c - 8 = -86. Let l = 1254 + -1234. Which is smaller: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 198\/11 + (-8 + 5 - 3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -17 + 53. Let h(t) = 11*t**2 + 0*t**3 - 2*t**3 - t**2 + 6 - 2*t + 3*t**3. What is the smallest common multiple of h(-10) and g?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 90534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(52)\/sqrt(4) + sqrt(52)*2)**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*g = 34*n - 31*n + 72, 4*n = -3*g + 27 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 348067 is divided by 2257?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhvtbqbtbvqtqvb. Give prob of picking 1 q and 2 h.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 7) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 0*t - t = 84, 2*t + 8 = 0. Calculate the remainder when r is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 563627119 and 3.\nAnswer: 1690881357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, -70, 4, -0.3, 32 in decreasing order.\nAnswer: 32, 4, 3, -0.3, -1, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/291256 and 41\/7430?\nAnswer: 1456280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 42650862 - 42650857.59999984. Let k = 4.4 - n. Round k to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*x**3 + 30*x**3 + 45 - 11 - 14 - 11.\nAnswer: 3*x**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1, 0.8, -225\/124?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange w**3 - 1 - 3458*w**2 + 3454*w**2 - 3 to the form j*w**3 + h*w + t*w**2 + y and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -101*k**3 + 6688 + 312*k**2 + 132*k**2 - 448*k**2 - 3*k**4 wrt k?\nAnswer: -12*k**3 - 303*k**2 - 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -14693*j**3 + 17501*j**2 + 5*j. Let t(v) = -7349*v**3 + 8750*v**2 + 3*v. Let c(l) = 3*g(l) - 5*t(l). Find the third derivative of c(f) wrt f.\nAnswer: -44004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 71 = -4*m + 4, 0 = 4*m - 4*z - 72. Let b = -56 + 19. Let x = b - -112. Calculate the remainder when x is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, n: 2, y: 2, b: 5, u: 4}. Give prob of sequence nb.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + -17 - (-4 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -5*v - 2. Let r be 225\/(-10)*12\/(-10). Suppose 5*g - r = b - 0*g, 4*b - 12 = -4*g. Determine q(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 PM and 7:52 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 2*x**2 + 4*x - 6. What is the units digit of r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q and 1 x when four letters picked without replacement from {q: 7, t: 3, x: 8}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 51\/2*44\/(-33). Let d = k - -389. Suppose 8*m = 3*m + d. List the prime factors of m.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -29 - -9dd515?\nAnswer: 9dd4ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yklykkyfrlkknkl. What is prob of picking 1 l and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 k when three letters picked without replacement from {n: 8, k: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -89347 + 89326.0013. Let p = -21 - i. What is p rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4 + -1)*(4 - 3). Let m = s + 9. What is the units digit of (-4)\/6*(-54)\/m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + -4 + (-2 + sqrt(200))*-5)*6*-1)**2 + -5.\nAnswer: -21600*sqrt(2) + 181291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -113 + 111. Which is the third smallest value?  (a) -0.04  (b) p  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -13*w**2 + 2*w + 4. Let y(v) = -1. What is -s(m) - 4*y(m)?\nAnswer: 13*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2134 (base 8) to base 14\nAnswer: -59a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -5*s + 8. Suppose -w + 2610 = -s*w. What is w rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*2*sqrt(68))\/((sqrt(4) - sqrt(64))*1).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k. Let t(q) be the third derivative of -601*q**4\/12 + 5*q**2 - 2*q + 65. What is r(t(i))?\nAnswer: 1202*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (34\/(-6))\/((-1150)\/(-1380)*2\/(-5))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (46 - 0) - (2 + -5 + 0 - -3)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -25.1989 rounded to one dp?\nAnswer: -25.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 5 + 2)*(-3*g**3 + 2*g**3 - g**3)*(160*g + 1601*g - 291*g) in the form r*g**3 + p*g**2 + i + d*g**4 + m*g and give d.\nAnswer: 5880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 177130?\nAnswer: 2, 5, 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 405319941 and 8658.\nAnswer: 4329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.9775 - -2.5144. Round a to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.06 - -0.36. Let z = 0.02 - 0.22. Let i = 0.2 - z. What is the second biggest value in -0.5, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8 and 61834636.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*i**2 + i**2 + 25 - 25.\nAnswer: -66*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 18\/45 + 633\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -n**4 - 3*n**4 + 7*n**4 + (-5*n**2 + 3*n**2 + n**2)*(5*n**2 + 8*n**2 - 2*n**2) as j*n**2 + m*n + i*n**4 + x + z*n**3 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of 217*j**4\/4 + 191*j**3\/3 - 148. Find the third derivative of c(t) wrt t.\nAnswer: 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*j = -10 - 1. Let c(k) = -1882*k**3 + k**2 - 3*k - 3. Is c(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -191, -5 in ascending order.\nAnswer: -191, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114 = -39*y + 20*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3348 and 72.\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = -6*v - w + 573, -5*w = -v + 65. Calculate the remainder when 156 is divided by v.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f + 7*f - 7*f + 1. Let g = 7 + -6. What is t(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide -2 + (6 - 4) - -48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 14 = 0, -2*b = 2*c + 8 + 4. Sort b, 774, -2 in descending order.\nAnswer: 774, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54555 is divided by 134?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 48 + -43. Solve 21 = r*k - 3*m, 0*k + 3*k - 13 = 2*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(0 + sqrt(72) + 0)**2 - (6*(-1 + sqrt(72)) + -4)**2.\nAnswer: -2908 + 720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of -x**5\/90 - x**4\/3 + 13*x**3\/9 + 165*x**2. Find j, given that f(j) = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.793 + -1.88. Let z = 4.913 - v. What is the third smallest value in -3\/2, -3\/4, z, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) 3  (c) -4  (d) 719\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3, -397535.\nAnswer: -397535, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78552.67 meters to nanometers.\nAnswer: 78552670000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2610 and 360?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 280b43 (base 16) in base 12?\nAnswer: a66857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**2. Let t(p) = -7*p + 6. Let z = 10 + -21. Let b(h) be the first derivative of 13*h**2\/2 - 11*h + 2. Let g(i) = z*t(i) - 6*b(i). Calculate g(o(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 93, 52, -13, -102, -215, -352, -513?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes after 5:06 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 538093 is divided by 98?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -5601, -45177, -152589, -361755, -706593?\n\"Answer: -5653*w**3 - 5*w + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -49*t + 61*t - 48. Solve b - 10*o + 7 = -7*o, b + t*o = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -5*q - 4. Let s(g) be the third derivative of g**4\/4 + 5*g**3\/6 - 3*g**2. Let x(b) = -2*o(b) - 3*s(b). Is x(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 125 + -247\/2. Determine s so that 3 + 3\/2*s - n*s**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3781 and 995.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-15))\/(63\/((-15876)\/84)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 3 + 1 = 0. Let f be a\/6 - 57\/9. Let s(u) = -u**3 - 6*u**2 + u + 5. Give s(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3094 is divided by 88?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 0 - (-51)\/(-18)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14.7 - 20. Let k = -5 - n. Which is the closest to 0?  (a) -3\/2  (b) k  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 125*n**5 + 25175*n**4 + 1691930*n**3 + 38166630*n**2 + 15064425*n + 1499715 = 0.\nAnswer: -69, -63, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23191*r**5*s + 2*r**2*s**2 - 34*r + 15*s**2 + 4*s wrt r.\nAnswer: 463820*r**3*s + 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -2*u**2 - 22*u - 33. Let f be l(-8). Solve 3*v + 2*v = 5*g - 20, f = 5*g - 4*v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 66\/3*(-60)\/(-40). What is the greatest common factor of 143 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 6 - 6*k - 3 + 1. Suppose 0 = 3*m - 5*y - 76, -3*y + 86 = 4*m - 2*y. What is the smallest common multiple of m and c(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 109490, 438646, 987264, 1755356, 2742934, 3950010?\nAnswer: 5376596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11, 17, 31, 25, -7, -71, -173?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5224891451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 9*u = 20. Suppose -2*g = 3*k + 10, 4*g = u*k - 5*k. Let d be 6 - (0 + -1) - g. Solve t + 1 = d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 270640 is divided by 67091?\nAnswer: 2276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 3*q**2 + q - 1. Let v(f) = -f**2 - 2*f - 4. Let u be v(-3). Let m be (-1 + 1 + u)*-1. Suppose -g - m = 4*b - 0, -4*g - 2*b = 0. What is s(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 1868.\nAnswer: 3\/1868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-6) + (-65)\/(-15). Suppose 4*a + 0 = -w*r + 76, -4 = -a + 2*r. What is the greatest common divisor of a and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.2 - 1.8. Let n = 176 + -877\/5. What is the closest to x in -2, n, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 30587509 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 8 - (-81 - -73).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37 - 113\/3. Let m be 2 - (-48 + -3) - 0. Let x = 160\/3 - m. What is the closest to x in -1\/3, -3, i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from grreodrdro.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the second derivative of i**5\/5 + 5*i**4\/12 + 5*i**3\/6 + 2*i. Let w(o) = -3*o**3 - 4*o**2 - 4*o. Suppose 0 = -7*c + 9*c + 10. Give c*w(x) - 4*a(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**7)**35 assuming q is positive.\nAnswer: q**245","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 111 in -2, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x + 1. Let d be i(0). Let g be 7\/((-14)\/4) - -1. Which is smaller: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 188 is divided by 157.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*m + 3*m + 4*m)*(5*m**3 - 2*m**3 - 5*m**3) + (-3*m**3 + m**3 + 3*m**3)*(3*m + 3 - 3) in the form y*m**4 + i + o*m**3 + x*m**2 + u*m and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of 0*m**3 - 17 + 0*m**4 + 55*m - 103\/5*m**5 + 0*m**2. What is the derivative of p(y) wrt y?\nAnswer: -412*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10333023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = y - 17 - 6, 3*y - 5*o - 65 = 0. Suppose y = -0*j + 3*j. What is the nearest to 1 in -5, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4 + (-2 - -9))\/(-10). Let p = 4029.92 - 4030. Put a, 0.2, p in decreasing order.\nAnswer: 0.2, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/18 + (-76)\/(-18). Suppose -2*h - 5*r = -h + 42, 0 = y*h + 2*r + 132. Let g = h - -121. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -0.5. Let g be (16\/21 - 48\/112)\/((-558)\/108). Which is the nearest to g?  (a) -0.5  (b) 0.4  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p + 6 = 3*p. Let u = 8 - 6. Suppose u*r + 5 = -1. Is p <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 + 8*r + 3. Suppose y - 5 - 3 = 0. Let d be q(y). Let g(n) = -n**3 + 4*n**2 + 2*n - 5. Does 5 divide g(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23 - -28. Suppose -50 + x = -5*w. Which is the smallest value?  (a) -2  (b) w  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-248)\/372*(-2 + (0 - 1)). Suppose -2055 + 289 = -g*r. Is r a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18 - -17. Let f = 26\/3 - 107\/12. What is the third smallest value in f, r, -2, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2531.183nm to kilometers.\nAnswer: 0.000000002531183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -360*x**5 - 6*x**3 + 234*x**2 + 1.\nAnswer: -21600*x**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 413, -1, -1\/5, 0.7, 6.423 in decreasing order.\nAnswer: 413, 6.423, 0.7, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**2 + 10*d + 12. Let p be b(-9). Suppose 4*i = -4, -p*q = 3*i - 73 - 38. Solve 5*w = -q + 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -5*q - 2. Let i(s) = -4*s - 2. Let w(h) = -6*i(h) + 5*z(h). Let f be w(8). Let b be (2\/f)\/(35\/(-21)). What is the second biggest value in b, 3, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 546 and 1820?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.503003 months in millennia?\nAnswer: 0.00162525025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 + 2796*r + 359315. Give x(-135).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 133 divide 1093260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 1 = 4*w - 0*w, x = 1. Let f(v) = -2*v + 42. What is the units digit of f(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhkk when four letters picked without replacement from hhkkllhh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -25277567.9 to the nearest 10000.\nAnswer: -25280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 6257 - 29*v**2 - 6257 - v. Let g(i) = 14*i**2 - 4*i**2 - 11*i**2. Determine q(g(t)).\nAnswer: -29*t**4 + t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 247*n**3*v - 143*n**3 wrt v.\nAnswer: 247*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 14 + (29 + -53 - (-45 - -8))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -110 + -76. What is l rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t*t\/t**(-1\/16))\/t**(-11))**(-19\/4))**(2\/47))**(-2\/11) assuming t is positive.\nAnswer: t**(361\/752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.16 - 0.23. Suppose 11*v + 86 = 3*q, -97*v + 72 = -101*v - 4*q. Which is bigger: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(1\/(-2)*-4) + 5. Suppose 0 = -o*v + 2*v + m + 211, 4*m + 329 = 3*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h + 56. What is the remainder when 118 is divided by i(13)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -197.892 and 2?\nAnswer: -395.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -111001100 (base 2) to base 10\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6 - -152?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 107487.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -206268, -412535, -618802, -825069?\nAnswer: -1031336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum 107949.226 and -0.83328.\nAnswer: 107948.39272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 10*l**2 + 1830*l + 1228. Let t(c) = -39*c**2 - 7321*c - 4910. Let f(r) = 15*d(r) + 4*t(r). Solve f(k) = 0 for k.\nAnswer: -305, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dbgg when four letters picked without replacement from {b: 2, p: 1, g: 3, d: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/((s**(-11)*s)\/s))\/s)**(-18))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-120566)\/10 - (-177)\/295. List the prime factors of (9\/6)\/((-12)\/b).\nAnswer: 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 13495928 + 3?\nAnswer: 13495931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 352 a factor of 25667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4435 - 1061 = 7*u. Calculate the smallest common multiple of u and 18.\nAnswer: 4338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2*y**2. Let b(w) = -17110*w**2. Give j(b(x)).\nAnswer: 585504200*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z - 5*z = 75. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9 + 22. What is the remainder when 16 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -v - 10. Let b be v*5\/(25\/(-4)). Suppose -b*o + 3*i + 39 = 0, 0 = -4*o + i + 20 + 9. What is the greatest common divisor of o and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -147*j**2 + 462*j - 363 = 0. Calculate j.\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*t + 12*t - 9*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/2022 and 71\/736842.\nAnswer: 248315754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-1 + -1*sqrt(153)*-4)**2 + (sqrt(17) - ((sqrt(17) + -2)**2 + -5) - ((sqrt(17) + 1)*4)**2).\nAnswer: -51*sqrt(17) + 2145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1892*u = -1907*u + 240. Solve 9 + 55 = u*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 + 150*o + 5245. What is f(-98)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -10765*i**4 - 61093?\nAnswer: -43060*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 - 22*l**2 - 27*l - 26. Determine g(23).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14 and 34692.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2887*c**2 + 2881*c**2 - 5747*c**2.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 492208.5 grams?\nAnswer: 492208500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12447*o**2 + 4153*o**2 + 4148*o**2 + 4148*o**2 + 2 + 5.\nAnswer: 2*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1761 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1275*u + 751*u + 4896 = -728*u for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -46 + 41. Sort j, -9, 1\/5 in descending order.\nAnswer: 1\/5, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 528 and 1694160.\nAnswer: 18635760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2, 3, -171228, 4, -3, -4 in increasing order.\nAnswer: -171228, -4, -3, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uapvshp. What is prob of picking 1 h, 1 v, and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 54 and 73054098?\nAnswer: 219162294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 less than 10547594?\nAnswer: 10547594.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, z: 3, g: 7}. What is prob of sequence zgp?\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8537 is divided by 192?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12 or 155\/13?\nAnswer: 155\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 124847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -4*y + y + 98, 5*y - 156 = -2*w. Let s = 49 - y. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 - (5 - -4 - 1748\/92).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 5*l = -9, 4366*x - 2 = 4365*x - 2*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 2911, -2, 19, -5, 1, -3, 0 in ascending order.\nAnswer: -5, -3, -2, 0, 1, 19, 2911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*f**5 + 5*f**5 - f**5 + (-437*f + 437*f - 977*f**2)*(-4*f**3 + f**3 + f**3).\nAnswer: 1964*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**2 - 6*w + 6. Let o be f(-4). Calculate the highest common factor of 168 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/306 and 203\/70380.\nAnswer: 70380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + 5*f - 207, -18*f = -20*f + 10. Calculate the greatest common factor of 6 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) -3  (b) 3  (c) -7\/30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}